# Instructor`s Manual

# Instructor’s Manual

## for K-12 Education

## Advanced Customer Solutions

## ALEKS Corporation

ALEKS Instructor’s Manual for K-12 Education, Version 3.18.

Copyright

©

2013 ALEKS Corporation.

Revised May 29, 2015.

Prepared by Advanced Customer Solutions, ALEKS Corporation.

ALEKS

® is a registered trademark of ALEKS Corporation.

# Contents

List of Figures

Preface xvii xxiii

1 Introduction 1

1.1

What is ALEKS? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

1

1.2

The ALEKS Instructor’s Manual . . . . . . . . . . . . . . . . . . . . . . . . . . . .

1

2 Quick Start 3

2.1

Obtaining a Class Code . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

3

2.2

Registering Students . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

4

3 Setup Guide for Instructors 5

3.1

Instructor Preparation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

5

3.2

System Requirements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

5

3.3

Installation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

6

3.4

Instructor Module . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

8

3.5

Lab Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

8

3.6

Student Orientation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

9

3.7

Registration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

9

3.8

Instructor Authorization of Student Registration . . . . . . . . . . . . . . . . . . . 10

3.9

Pre-Registration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13

3.10

Batch Registration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13

3.10.1

Batch Registration Process . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 iii

iv CONTENTS

3.10.2

Batch Template . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15

3.10.3

Batch Confirmation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16

3.11

Tutorial . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16

3.12

First Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16

3.13

Report Tutorial . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17

3.14

Beginning the Learning Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17

4 Assessment Mode 19

4.1

Assessments in ALEKS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19

4.2

Guidelines for Assessments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20

4.3

How Assessments are Triggered . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20

4.3.1

Initial Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20

4.3.2

Automatic Assessments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21

4.3.3

Scheduled Assessments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22

4.3.4

Requested Assessments for a Single Student . . . . . . . . . . . . . . . . . 22

4.4

Buttons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23

4.5

Answer Editor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23

4.6

Manipulators for Mathematical Expressions . . . . . . . . . . . . . . . . . . . . . . 24

4.6.1

Basic Input . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24

4.6.2

Basic Editing Tools . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25

4.6.3

Selecting Input . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25

4.6.4

Clear and Undo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25

4.7

Mathematical Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25

4.7.1

Entering Expressions from the Keyboard . . . . . . . . . . . . . . . . . . . 26

4.7.2

Using the Answer Editor Keypad to Structure Simple Expressions . . . . . 26

4.7.3

Entering Complex Expressions . . . . . . . . . . . . . . . . . . . . . . . . . 26

4.7.4

Alternate Ways of Entering Expressions . . . . . . . . . . . . . . . . . . . . 26

4.7.5

Other Mathematical Signs . . . . . . . . . . . . . . . . . . . . . . . . . . . 27

4.7.6

The Asterisk for Multiplication . . . . . . . . . . . . . . . . . . . . . . . . 27

4.7.7

Mixed Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27

4.8

Types of Mathematical Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . 27

CONTENTS v

4.9

Advanced Mathematical Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . 29

4.10

The Answer Editor for Graphing . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30

4.11

The Answer Editor for Histograms . . . . . . . . . . . . . . . . . . . . . . . . . . . 31

4.12

Assessment Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32

4.12.1

Interpreting the Pie Chart . . . . . . . . . . . . . . . . . . . . . . . . . . . 32

4.12.2

State Standards Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33

4.13

Ready to Learn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33

4.14

Progress Bars . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33

5 Learning Mode 35

5.1

The ALEKS Learning Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35

5.2

Interface Features . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36

5.2.1

Ending an ALEKS Session . . . . . . . . . . . . . . . . . . . . . . . . . . . 36

5.2.2

English . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36

5.2.3

Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36

5.2.4

Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36

5.2.5

Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37

5.2.6

Dictionary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38

5.2.7

Calculator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38

5.2.8

Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39

5.2.9

Class Forum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39

5.2.10

Gradebook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39

5.2.11

Calendar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39

5.2.12

Worksheet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39

5.2.13

Assignments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39

5.2.14

Inbox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40

5.2.15

Help . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40

5.2.16

MyPie . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40

5.3

The Learning Mode Interface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41

5.3.1

Practice Page . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41

5.3.2

Explanation Page . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42

vi CONTENTS

5.3.3

Wrong Answer Page . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42

5.4

Feedback in Learning Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44

5.5

Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44

5.6

Worksheet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45

6 QuickTables 47

6.1

Setting Up QuickTables for your Class . . . . . . . . . . . . . . . . . . . . . . . . . 47

6.1.1

QuickTables Sub-Navigation . . . . . . . . . . . . . . . . . . . . . . . . . . 48

6.1.2

Create a Table . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48

6.1.3

Edit Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49

6.1.4

QuickTables Class Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . 49

6.1.5

Game Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50

6.1.6

Retention Assessment Settings . . . . . . . . . . . . . . . . . . . . . . . . . 51

6.1.7

QuickTables Student Settings . . . . . . . . . . . . . . . . . . . . . . . . . 51

6.2

QuickTables Assignments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52

6.2.1

QuickTables Scheduled Assessments . . . . . . . . . . . . . . . . . . . . . . 52

6.2.2

QuickTables Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52

6.2.3

QuickTables Worksheets . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53

6.3

Reporting your Students’ Progress in QuickTables . . . . . . . . . . . . . . . . . . . 53

6.3.1

QuickTables Progress Reports . . . . . . . . . . . . . . . . . . . . . . . . . 54

6.3.2

QuickTables Quiz Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . 55

6.3.3

QuickTables Scheduled Assessment Reports . . . . . . . . . . . . . . . . . 55

6.4

How Your Students Use QuickTables . . . . . . . . . . . . . . . . . . . . . . . . . . 56

6.4.1

QuickTables Keyboard Exercise . . . . . . . . . . . . . . . . . . . . . . . . 56

6.4.2

QuickTables Testing Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . 56

6.4.3

QuickTables Learning Mode . . . . . . . . . . . . . . . . . . . . . . . . . . 56

6.4.4

QuickTables Games . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57

6.4.5

QuickTables Completion Certificate . . . . . . . . . . . . . . . . . . . . . . 58

7 Instructor Module 61

7.1

Navigation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62

CONTENTS vii

7.1.1

Search Box . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62

7.1.2

Main Navigation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62

7.1.3

Sub-Navigation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63

7.1.4

Dashboard . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63

7.1.5

Home Button . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64

7.2

Instructor Account . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64

7.2.1

Account Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65

7.2.2

Message Center . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65

7.2.3

Reference Guide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66

7.2.4

Customer Support . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66

7.2.5

Training & Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66

7.2.6

Log Out . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67

7.2.7

Community . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67

7.2.8

Feedback . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67

7.2.9

Student Roster (Instructor Level) . . . . . . . . . . . . . . . . . . . . . . . 67

7.3

Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68

7.3.1

Available Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69

7.3.2

Download Report Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69

7.3.3

Send Message to Selected Students . . . . . . . . . . . . . . . . . . . . . . 69

7.3.4

Viewing Student History Across Multiple ALEKS classes . . . . . . . . . . 70

7.3.5

Interpreting Bar Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70

7.3.6

ALEKS Pie . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71

7.3.7

Display Options for ALEKS Pie Report . . . . . . . . . . . . . . . . . . . . 72

7.3.8

ALEKS Pie Report for a Single Student . . . . . . . . . . . . . . . . . . . . 74

7.3.9

Supporting Individualized Education Plans (IEPs) . . . . . . . . . . . . . . 76

7.3.10

Progress Monitoring . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77

7.3.11

Objective Pie View . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78

7.3.12

Progress Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79

7.3.13

Learning Progress Since Latest Assessment . . . . . . . . . . . . . . . . . . 79

7.3.14

Most Recent Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80

7.3.15

Best Performance in Learning Mode Over Time . . . . . . . . . . . . . . . 81

viii CONTENTS

7.3.16

Progress in Assessment Over Time . . . . . . . . . . . . . . . . . . . . . . . 81

7.3.17

Detailed Progress History . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82

7.3.18

Progress Report for a Single Student . . . . . . . . . . . . . . . . . . . . . 82

7.3.19

Time and Topic Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84

7.3.20

Class Time and Topic Report . . . . . . . . . . . . . . . . . . . . . . . . . 84

7.3.21

Individual Time and Topic Report . . . . . . . . . . . . . . . . . . . . . . . 85

7.3.22

Knowledge Per Slice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86

7.3.23

Assignment Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87

7.3.24

Scheduled Assessment Report . . . . . . . . . . . . . . . . . . . . . . . . . 87

7.3.25

Homework, Quiz, and Test Results . . . . . . . . . . . . . . . . . . . . . . 88

7.3.26

Class Standards Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88

7.3.27

Individual Standards Report . . . . . . . . . . . . . . . . . . . . . . . . . . 90

7.3.28

QuickTables Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90

7.3.29

Custom Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90

7.4

Class Creation and Configuration (Class Administration) . . . . . . . . . . . . . . . 93

7.4.1

Creating a Class . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93

7.4.2

Class Creation Wizard . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94

7.4.3

Save for Later or Cancel . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95

7.4.4

Textbook Integration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96

7.4.5

Set Objectives / Modules . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96

7.4.6

Objective Completion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97

7.4.7

Objectives Editor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98

7.4.8

Edit Objective . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99

7.4.9

Topic Recommendation Tool (TREC) . . . . . . . . . . . . . . . . . . . . . 101

7.4.10

Objective Pie . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103

7.4.11

Post Objective Progress Assessment . . . . . . . . . . . . . . . . . . . . . . 103

7.4.12

Content Editor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104

7.4.13

Section Level Content . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105

7.4.14

Supplementary Textbook Topics . . . . . . . . . . . . . . . . . . . . . . . . 105

7.4.15

Core Readiness Topics in the Content Editor . . . . . . . . . . . . . . . . . 105

7.4.16

Class Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107

CONTENTS ix

7.4.17

Syllabus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107

7.4.18

Standards . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107

7.4.19

Class Content . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108

7.4.20

Class Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108

7.4.21

Access Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109

7.4.22

Student Activity Notifications . . . . . . . . . . . . . . . . . . . . . . . . . 109

7.4.23

Parent Notification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109

7.4.24

Assessment Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109

7.4.25

Worksheet Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109

7.4.26

QuickTables Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110

7.4.27

Implementation Information . . . . . . . . . . . . . . . . . . . . . . . . . . 110

7.4.28

Class Duplication Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . 112

7.4.29

Gradebook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112

7.4.30

Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112

7.4.31

Incoming and Exiting Student Options . . . . . . . . . . . . . . . . . . . . 113

7.4.32

Share Course Access . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114

7.4.33

Student Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115

7.4.34

Class List . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115

7.4.35

Cleanup Tool . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116

7.4.36

Class Roster . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116

7.4.37

Enroll / Pre-Register Students . . . . . . . . . . . . . . . . . . . . . . . . . 117

7.4.38

Authorize Students . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117

7.4.39

Extend Student Accounts . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117

7.4.40

Forum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118

7.4.41

Calendar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118

7.4.42

Student View . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119

7.4.43

Class Archive . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119

7.4.44

Class Tools . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120

7.5

Assignments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120

7.5.1

Class Assignments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121

7.5.2

New Homework . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122

x CONTENTS

7.5.3

Name & Date . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123

7.5.4

Content . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124

7.5.5

Gradebook Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125

7.5.6

Advanced Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126

7.5.7

Grading Scale . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127

7.5.8

Edit Homework . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 128

7.5.9

Scheduled Assessments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 128

7.5.10

Scheduled Assignment Behaviors . . . . . . . . . . . . . . . . . . . . . . . . 129

7.5.11

Worksheets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130

7.6

Gradebook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130

7.6.1

Gradebook Interface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132

7.6.2

Gradebook Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133

7.6.3

Grading Scale for Total Grade . . . . . . . . . . . . . . . . . . . . . . . . . 135

7.6.4

Pie Mastery, Time, and Topic Categories . . . . . . . . . . . . . . . . . . . 136

7.6.5

Chapter or Objective Completion and the Gradebook . . . . . . . . . . . . 138

7.6.6

External Assignments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138

7.6.7

Adjust Student Scores . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139

7.6.8

Gradebook Log . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140

7.7

QuickTables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140

7.8

Student Administration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140

7.8.1

Account Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140

7.8.2

Move and Unenroll Student . . . . . . . . . . . . . . . . . . . . . . . . . . . 142

7.8.3

Student Cleanup Tool . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142

7.8.4

Student Gradebook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142

7.8.5

Student Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142

7.8.6

Student Assignments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143

7.8.7

Edit Extensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143

7.8.8

Student Worksheets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144

7.8.9

Request Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144

7.8.10

Cancel Current Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . 144

7.8.11

Student QuickTables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145

CONTENTS xi

7.8.12

Student QuickTables Worksheet . . . . . . . . . . . . . . . . . . . . . . . . 145

7.9

Administrator Features . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145

7.9.1

Institution Account Summary . . . . . . . . . . . . . . . . . . . . . . . . . 146

7.9.2

Schedule Domain Upgrade . . . . . . . . . . . . . . . . . . . . . . . . . . . 147

7.9.3

Instructor Roster . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147

7.9.4

Create New Instructor Account . . . . . . . . . . . . . . . . . . . . . . . . 148

7.9.5

Subscription Management System . . . . . . . . . . . . . . . . . . . . . . . 148

7.9.6

Batch Registration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149

7.9.7

Authorize Student Account . . . . . . . . . . . . . . . . . . . . . . . . . . . 149

7.9.8

Pre-Registration with alternative subscription length . . . . . . . . . . . . 149

7.9.9

Extend Student Accounts . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149

7.9.10

Administrative Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 150

7.9.11

Student Roster (Institution Level) . . . . . . . . . . . . . . . . . . . . . . . 151

7.10

Master Templates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151

7.10.1

Master Templates List . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152

7.10.2

Getting Started . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152

7.10.3

Master Template Basic Settings . . . . . . . . . . . . . . . . . . . . . . . . 153

7.10.4

Master Template (Class Summary) . . . . . . . . . . . . . . . . . . . . . . 154

7.10.5

Lockout Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154

7.10.6

Create Assignments in Master Template . . . . . . . . . . . . . . . . . . . 155

7.10.7

Create Linked Classes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156

7.10.8

Classes to be Assigned . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157

7.10.9

Create a Master Template from an Existing Class . . . . . . . . . . . . . . 158

7.10.10 Duplicate a Master Template . . . . . . . . . . . . . . . . . . . . . . . . . . 158

7.10.11 Archive Master Templates . . . . . . . . . . . . . . . . . . . . . . . . . . . 159

7.10.12 Delete Master Template . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159

7.10.13 Master Template Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . 160

7.10.14 Effects of Editing a Master Template . . . . . . . . . . . . . . . . . . . . . 160

7.11

District Features . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161

7.11.1

Account Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161

7.11.2

Administrator Roster . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162

xii CONTENTS

7.11.3

New Administrator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162

7.11.4

Class Activity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162

7.11.5

Student Roster (District Level) . . . . . . . . . . . . . . . . . . . . . . . . . 162

7.11.6

Subscription Management System (District Level) . . . . . . . . . . . . . . 163

7.11.7

Administrative Reports (District Level) . . . . . . . . . . . . . . . . . . . . 163

8 Teaching with ALEKS 165

8.1

The ALEKS Educational Paradigm . . . . . . . . . . . . . . . . . . . . . . . . . . . 165

8.2

The Instructor and ALEKS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 166

8.3

Planning the ALEKS Class . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167

8.4

Preparing Your Students . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 168

8.5

Focused Instruction with ALEKS . . . . . . . . . . . . . . . . . . . . . . . . . . . . 168

8.6

Models of Classroom Integration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 170

8.7

Monitoring Student Use . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 171

8.8

Monitoring the Progress of a Class . . . . . . . . . . . . . . . . . . . . . . . . . . . 172

8.9

Monitoring Individual Progress . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172

8.10

Moving a Student to a New Class . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173

8.11

Ordering Assessments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173

8.12

Independent Study and Distance Learning . . . . . . . . . . . . . . . . . . . . . . . 173

8.13

The ALEKS Knowledge Structure . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174

8.14

Objectives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174

9 Knowledge Spaces and the Theory Behind ALEKS 175

9.1

History . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175

9.2

Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175

9.2.1

Domain, Items, and Instances . . . . . . . . . . . . . . . . . . . . . . . . . 175

9.2.2

Knowledge States . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 176

9.2.3

Knowledge Structures and Knowledge Spaces . . . . . . . . . . . . . . . . . 178

9.2.4

Inner and Outer Fringes of a Knowledge State . . . . . . . . . . . . . . . . 178

9.2.5

Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 179

9.3

Selected Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 180

CONTENTS xiii

10 Frequently Asked Questions 187

10.1

General . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 187

10.2

Technical . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 188

10.3

Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 190

10.4

Assessments and Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 192

10.5

Learning Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193

10.6

Educational Use . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 194

11 Support 197

APPENDICES 199

A ALEKS Student User’s Guide 199

A.1

Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199

A.2

Quick Start Instructions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 200

A.3

Registration and Installation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 203

A.4

Student Account Home . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 204

A.4.1

Account Management . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 205

A.4.2

Class Management . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 207

A.5

Tutorial . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 207

A.6

Assessments and Learning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 208

A.6.1

Assessments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 208

A.6.2

Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 208

A.6.3

Learning Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 209

A.6.4

Progress in the Learning Mode . . . . . . . . . . . . . . . . . . . . . . . . . 209

A.6.5

Additional Features . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 210

A.6.6

ALEKS Inbox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 211

A.7

Guidelines for Effective Use . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 212

A.8

QuickTables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 212

A.9

Frequently Asked Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 214

A.10 Troubleshooting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 218

xiv CONTENTS

B Programs in ALEKS 221

B.1

Arithmetic - 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 221

B.2

Arithmetic - 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 225

B.3

Arithmetic - 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 229

B.4

Arithmetic - 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 233

B.5

LV3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 237

B.6

LV4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 240

B.7

LV5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 244

B.8

Essential Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 250

B.9

MS RtI Tier 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 263

B.10 RtI 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 266

B.11 RtI 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 272

B.12 RtI 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 278

B.13 M.S. Math 1 / LV6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 284

B.14 M.S. Math 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 297

B.15 M.S. Math 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 314

B.16 Pre-Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 332

B.17 H.S. Prep. for Algebra 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 350

B.18 Foundations of H.S. Math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 354

B.19 Algebra Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 372

B.20 Algebra 1A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 379

B.21 CA Algebra 1A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 388

B.22 Traditional Algebra 1A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 398

B.23 Algebra 1B . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 408

B.24 CA Algebra 1B . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 419

B.25 Traditional Algebra 1B . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 431

B.26 Algebra 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 442

B.27 CA Algebra 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 454

B.28 Traditional Algebra 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 466

B.29 H.S. Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 477

B.30 Integrated Mathematics I . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 481

CONTENTS xv

B.31 GPS Integrated H.S. Math I . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 492

B.32 Algebra 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 502

B.33 Algebra 2 with Trigonometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 513

B.34 Math Intervention . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 523

B.35 Mastery of SAT Math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 527

B.36 PreCalculus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 536

B.37 Trigonometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 546

B.38 Math for College Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 554

B.39 Math for College Success . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 565

B.40 Math for 4-Year College Success . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 579

B.41 Math Prep. for the CAHSEE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 594

B.42 Prep. for FL Algebra 1 EOC Assessment . . . . . . . . . . . . . . . . . . . . . . . . 598

B.43 Prep. for FL Geometry EOC Assessment . . . . . . . . . . . . . . . . . . . . . . . . 609

B.44 Prep for IN Algebra 1 ECA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 620

B.45 Prep for LA Algebra 1 EOC Assessment . . . . . . . . . . . . . . . . . . . . . . . . 631

B.46 Prep for LA Geometry EOC Assessment . . . . . . . . . . . . . . . . . . . . . . . . 643

B.47 Prep for MN Mathematics GRAD . . . . . . . . . . . . . . . . . . . . . . . . . . . . 654

B.48 Prep for PA Algebra 1 Keystone Exam . . . . . . . . . . . . . . . . . . . . . . . . . 665

B.49 Prep for SC Algebra 1 EOC Examination . . . . . . . . . . . . . . . . . . . . . . . . 677

B.50 Prep for SC HSAP Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 688

B.51 Prep for TX - STAAR Algebra 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 699

B.52 Prep for TX - STAAR Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . 710

B.53 Math Prep. for TAKS – HS Exit Exam . . . . . . . . . . . . . . . . . . . . . . . . . 721

B.54 Prep for GED Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 726

B.55 H.S. Prep. for Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 732

B.56 Intro. to Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 734

B.57 AP Statistics (Quantitative) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 738

B.58 Prep. for AP Chemistry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 741

B.59 AP Chemistry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 745

B.60 Math Review for AP Calculus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 751

B.61 Math Review for AP Physics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 759

xvi CONTENTS

B.62 Fundamentals of Accounting (Corp) . . . . . . . . . . . . . . . . . . . . . . . . . . . 763

B.63 Fundamentals of Accounting (Sole) . . . . . . . . . . . . . . . . . . . . . . . . . . . 765

B.64 Business Math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 766

# List of Figures

3.1

System Requirements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

5

3.2

The ALEKS Website . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

7

3.3

Registration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10

3.4

Registration (continued) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11

3.5

Registration (continued) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12

3.6

Registration (continued) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12

3.7

Registration (continued) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13

3.8

School Batch Registration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14

3.9

Batch Template . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15

4.1

The Answer Editor for Mathematical Expressions (Assessment) . . . . . . . . . . . 23

4.2

Mathematical Expressions Produced by the Answer Editor . . . . . . . . . . . . . . 24

4.3

Using Special Keys in the Answer Editor . . . . . . . . . . . . . . . . . . . . . . . . 25

4.4

The Answer Editor for Graphing . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30

4.5

The Answer Editor for Histograms . . . . . . . . . . . . . . . . . . . . . . . . . . . 31

4.6

Assessment Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32

5.1

Options Page . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37

5.2

Dictionary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38

5.3

Help Menu . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41

5.4

Practice Page . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42

5.5

Explanation Page . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43

5.6

Wrong Answer Page . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43

5.7

Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 xvii

xviii LIST OF FIGURES

5.8

Worksheet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45

6.1

QuickTables Menu . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48

6.2

Create a Table . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49

6.3

QuickTables Class Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50

6.4

QuickTables Reporting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54

6.5

QuickTables Learning Display . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57

6.6

QuickTables Games . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58

6.7

QuickTables Games . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58

7.1

Account Home Screen . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61

7.2

Search Box . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62

7.3

Main Navigation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62

7.4

Sub-Navigation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63

7.5

Dashboard . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63

7.6

Account Drop-Down Menu . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64

7.7

Account Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65

7.8

Message Center . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66

7.9

ALEKS Community . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67

7.10

Student Roster (Instructor Level) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68

7.11

Reporting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68

7.12

ALEKS Pie . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72

7.13

Student Mastery . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72

7.14

ALEKS Pie Report for a Single Student . . . . . . . . . . . . . . . . . . . . . . . . 75

7.15

Supporting Individualized Education Plans . . . . . . . . . . . . . . . . . . . . . . . 76

7.16

Progress Monitoring . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77

7.17

Objective Pie View when End Dates in Use . . . . . . . . . . . . . . . . . . . . . . 78

7.18

Objective Pie View when Mastery Levels in Use . . . . . . . . . . . . . . . . . . . . 78

7.19

Progress Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79

7.20

Learning Progress Since Latest Assessment . . . . . . . . . . . . . . . . . . . . . . . 80

7.21

Most Recent Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80

7.22

Best Performance in Learning Mode Over Time . . . . . . . . . . . . . . . . . . . . 81

LIST OF FIGURES xix

7.23

Progress in Assessment Over Time . . . . . . . . . . . . . . . . . . . . . . . . . . . 81

7.24

Detailed Progress History . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82

7.25

Progress History . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83

7.26

Progress Report for a Single Student . . . . . . . . . . . . . . . . . . . . . . . . . . 83

7.27

Class Time and Topic Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85

7.28

Individual Time and Topic Learning Log . . . . . . . . . . . . . . . . . . . . . . . . 86

7.29

Knowledge Per Slice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86

7.30

All Assignment Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87

7.31

Scheduled Assessment Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88

7.32

Quiz Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88

7.33

Standards Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89

7.34

Standards Report for a Single Student . . . . . . . . . . . . . . . . . . . . . . . . . 90

7.35

Custom Report Template . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91

7.36

Creating the Custom Report Template . . . . . . . . . . . . . . . . . . . . . . . . . 91

7.37

Scheduling a Custom Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92

7.38

New Class . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94

7.39

Class Information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95

7.40

Resume/Discard . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95

7.41

Objectives Editor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99

7.42

Edit Objectives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100

7.43

Topic Recommendation Tool (TREC) . . . . . . . . . . . . . . . . . . . . . . . . . . 101

7.44

Tagging Feature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101

7.45

Objective Completion Options and Objective Pie View . . . . . . . . . . . . . . . . 103

7.46

Class Summary Part 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106

7.47

Class Summary Part 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106

7.48

Course Content . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108

7.49

Worksheet Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110

7.50

Implementation Information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111

7.51

Class Duplication Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112

7.52

Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113

7.53

Class List . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115

xx LIST OF FIGURES

7.54

Class Roster . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116

7.55

Extend Student Accounts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118

7.56

Calendar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119

7.57

Class Tools . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120

7.58

Assignments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120

7.59

Assignment Status . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121

7.60

New Homework . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123

7.61

New Homework (cont.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125

7.62

New Homework (cont.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127

7.63

Add an Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129

7.64

Manage Worksheets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130

7.65

Gradebook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131

7.66

Gradebook Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134

7.67

Assignment Weights . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134

7.68

Grading Scale for Total Grade . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136

7.69

Pie Mastery Grade Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136

7.70

Time Grade Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137

7.71

Topic Grade Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137

7.72

External Assignment Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139

7.73

Student Account Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141

7.74

Move and Unenroll Student . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141

7.75

Edit Extensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143

7.76

Request Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144

7.77

Cancel Current Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145

7.78

Three levels of hierarchy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145

7.79

Instructor Roster . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147

7.80

Student Roster (Institution Level) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151

7.81

Master Template Sub-Navigation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152

7.82

New Master Template . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153

7.83

Create Assignments in Master Template . . . . . . . . . . . . . . . . . . . . . . . . 155

7.84

Create Linked Classes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156

LIST OF FIGURES xxi

7.85

Classes to be Assigned . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 158

7.86

Create a Master Template from an Existing Class . . . . . . . . . . . . . . . . . . . 158

7.87

Duplicate a Master Template . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159

7.88

Tab Indications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161

7.89

Account Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161

7.90

Administrator Roster . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162

7.91

New Administrator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 163

9.1

Domain of Arithmetic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 176

9.2

Knowledge State . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177

9.3

Learning Path . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177

9.4

Outer Fringe of a Knowledge State . . . . . . . . . . . . . . . . . . . . . . . . . . . 178

9.5

Inner Fringe of a Knowledge State . . . . . . . . . . . . . . . . . . . . . . . . . . . . 179

10.1

System Requirements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189

A.1

The ALEKS Website . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 203

A.2

Class Code . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 204

A.3

Student Account Home Main Screen . . . . . . . . . . . . . . . . . . . . . . . . . . 205

A.4

Student Account Home Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 206

A.5

The Answer Editor (Tutorial) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 208

A.6

Assessment Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 209

A.7

ALEKS QuickTables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 212

A.8

QuickTables Learning Display . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213

xxii LIST OF FIGURES

# Preface

Welcome to ALEKS, one of the most powerful educational tools available for learning mathematics. ALEKS combines advanced learning technology with the flexibility of the Internet, and provides an interactive tutoring system with unmatched features and capabilities.

The innovative features of ALEKS open new horizons for educators and learners alike in any educational context. The ALEKS class management system enables instructors and administrators to efficiently monitor student progress and provide focused instruction.

With its unprecedented use of Artificial Intelligence, ALEKS determines quickly and precisely what your students know and what they need to learn, guiding them down individualized learning paths to mastery. The programs used are customizable, letting you conveniently add or subtract topics. As ALEKS is accessed on the Internet, no complicated technical preparation is needed—and your students can work at any time, from home or from the classroom! ALEKS can also be integrated with a variety of textbooks.

It’s a personal tutor for each of your students, at a fraction of what such services normally cost.

The benefits of using ALEKS are dramatic. Students work in a dynamic, interactive learning environment on precisely those materials that they are individually ready to learn, building momentum toward mastery. Students can access their ALEKS account around their own schedules and work on what they are ready to learn now. It is the personalized, “just-in-time” learning system.

ALEKS may be used in a variety of classroom situations—whether in a traditional classroom, or in a self-directed or distance-learning environment.

Using the Student Access Code along with the Course Code provided by the instructor, the student registers on the ALEKS website.

This Instructor’s Manual is intended to provide complete information on the functioning of ALEKS. A description of its contents can be found in Chapter 1.

Please also take time to explore the ALEKS website; it is a valuable source of information

(http://www.aleks.com, Fig. 3.2). The website includes tours, overviews of ALEKS course products, troubleshooting and support information, training resources, and user guides. It also contains information on the theory and research behind ALEKS, forums xxiii

xxiv PREFACE for the exchange of ideas with other educators, and brief, recorded on-line training segments. To find the resources specific to the educational field you are in, click on the appropriate link on the ALEKS home page.

# Chapter 1

# Introduction

## 1.1

## What is ALEKS?

The ALEKS system is the product of years of cutting-edge research into the mathematical modeling of human knowledge (Chap. 9). The creators of ALEKS are cognitive scientists, software engineers, and university professors. In designing ALEKS, their goal was to achieve the utmost simplicity of use without compromising the depth, rigor, or richness of mathematics instruction at its inspirational best. ALEKS is a tool to empower both instructors and learners of math. It opens doors into the assessment and representation of knowledge, and it breaks down barriers to success by recognizing the vast diversity of paths that lead to mastery. The ALEKS system can make a radical difference in how math learning is experienced.

ALEKS is an online system for the assessment and individualized teaching of mathematics. It can be accessed on the Internet from virtually any computer and is designed to allow the monitoring and management of students and classes at the instructor, school, and system levels.

The core of the system is an efficient, adaptive assessment engine that determines quickly and precisely what an individual student knows. Based on assessment data, the system is able to offer material that the student is ready to learn.

The ALEKS Learning Mode includes explanations and algorithmically generated practice problems, ongoing assessment of student knowledge, an online math dictionary, and facilities for review and collaborative help. It can be used on an independent basis or as a supplement to classroom instruction.

## 1.2

## The ALEKS Instructor’s Manual

The purpose of the ALEKS Instructor’s Manual is to provide instructors with complete information on the operation of the system. Even though ALEKS is not complex, our

1

2 CHAPTER 1. INTRODUCTION goal is to offer instructors a clear idea of everything ALEKS does, how it works, and where to find answers to questions.

ALEKS is user-friendly, and may be used without help from the Instructor’s

Guide. Feel free to use the system now. If questions arise, or if you want to learn more about ALEKS, this Instructor’s Guide is intended as a convenient and comprehensive reference.

NOTE. For a brief, comprehensive overview of ALEKS, turn directly to the “Frequently

Asked Questions” in Chapter 10.

Âˆ

The first chapters are those most likely to be used by instructors new to ALEKS.

Chapter 2, “Quick Start,” contains a concise checklist for those new to ALEKS.

Chapter 3, “Setup Guide for Instructors,” provides all of the information necessary for preparing to use ALEKS with one or more classes. This ranges from technical and installation requirements through the students’ first ALEKS session (which typically involves registration, tutorial, the Initial Assessment, and entry into the

Learning Mode). Much of the information here is the same as that in Appendix A.

Âˆ

Chapters 4 through 7 contain descriptions of the principal parts of the ALEKS system: Assessment Mode, Learning Mode, and the Instructor Module.

Âˆ

QuickTables, a tool for mastering math facts, is described in Chapter 6.

Âˆ

The Instructor Module is discussed in Chapter 7.

Âˆ

Chapter 8 is a brief guide to teaching with ALEKS, describing a range of scenarios and the ALEKS features that support them.

Âˆ

Chapters 9 through 11 provide additional information that may be necessary or of interest to instructors using ALEKS. Chapter 9, “Knowledge Spaces and the

Theory Behind ALEKS,” explains the history of Knowledge Space theory and its fundamental concepts, along with the evolution of ALEKS itself. Also included is a bibliography for those seeking to understand the theory behind ALEKS in greater depth. Chapter 10 provides answers to frequently asked questions about

ALEKS. Chapter 11 gives the information necessary for obtaining technical and other support.

Âˆ

Appendix A contains the complete text of the ALEKS Student User Guide. Appendix B contains content summaries for ALEKS course products.

# Chapter 2

# Quick Start

The purpose of this chapter is to provide a summary of the steps involved in starting a class with ALEKS.

## 2.1

## Obtaining a Class Code

In order to use ALEKS with your class, you will need to have at least one Class Code.

You give this code to the students in your class; they will use this Class Code to register.

The Class Code is all your students need to register with ALEKS. When they register, they will receive a Login Name and Password; after this they will no longer need the

Class Code. Students should not use the Class Code to register a second time, as doing so will create a new account in their name, unconnected with the first.

You can have as many classes and sections as you need or want in ALEKS. For each class or section, there is one unique Class Code. Students who register using this code will be enrolled in the corresponding class. Students who accidentally enroll in the wrong class can easily be moved to the right one at any time. (Please note that moving a student from one class to another in ALEKS may trigger a new assessment.) To obtain the

Class Code for any class, log on to your instructor account, on the Instructor

Administration menu, select Class List (Sec. 7.4.34). The Class Code will appear in the right-hand part of the screen.

You will normally be provided with an instructor Login Name and Password by ALEKS

Corporation; otherwise, a colleague at your school with administrator privileges in

ALEKS can also create an instructor account for you. Once you are logged on to

ALEKS as an instructor, you can create one or more classes through selecting New

Class.

3

4

## 2.2

## Registering Students

CHAPTER 2. QUICK START

Students should use the following steps to register.

1. Go to the ALEKS website.

http://www.aleks.com

2. Click on the SIGN UP NOW! link to the left of the page, under the space for

Registered Users. (This is the only time they will click on that button.)

3. On the page that follows, enter the Class Code in the spaces provided for ”Using

ALEKS with a Class?” (to the left of the window). Do not use the button on the right-hand side.

4. Confirm enrollment information.

5. Enter other information as prompted and choose a password.

6. Record the Login Name provided by the system.

7. Wait for the instructor to authorize the registration. They can log off at this point and log back in later, using the Login Name and Password provided. As soon as the instructor authorizes their registration, they will be able to use their new

ALEKS account.

NOTE. For a complete description of how instructors authorize the registration of their students, see Sec. 3.8.

8. Begin using ALEKS by taking the student tutorial and an Initial Assessment.

Students will subsequently use their Login Name and Password to enter their accounts.

# Chapter 3

# Setup Guide for Instructors

## 3.1

## Instructor Preparation

ALEKS has been designed to be user-friendly and intuitive. However, taking the time to study all materials provided to you, including the Instructor’s Guide, and trying out the system, can provide valuable insight into the system’s functioning and underlying ideas.

The administrator for ALEKS can contact ALEKS Customer Support for assistance at any time (Chap. 11).

## 3.2

## System Requirements

The following table presents the system requirements for ALEKS in summary form.

PC Macintosh

Operating System Windows

Processor

RAM Memory

Browser

Any

64+ MB

Explorer 8.0+, Firefox 3+,

Chrome 4+

Screen Resolution 800x600 (1024x768 for

Chemistry)

MacOS 10.4+

Any

64+ MB

Safari 4+, Firefox

3+ (Chrome 4+ with some courses)

800x600 (1024x768 for Chemistry)

Figure 3.1: System Requirements

Chromebook (with some courses)

ChromeOS any any

Chrome any

Java-Free Courses: For the following course products, it is not necessary to install

Java or the ALEKS plug-in, and Chromebook can be used: All Elementary School

5

6 CHAPTER 3. SETUP GUIDE FOR INSTRUCTORS courses, All Middle School courses, Math Intervention, Math for College Readiness, High

School Preparation for Algebra 1, Foundations of High School Math, Prep for IN Algebra

1 ECA, Prep for LA Algebra 1 EOC Assessment, Prep for PA Algebra 1 Keystone

Exam, Prep for TX - STAAR Algebra 1, Prep for MN Mathematics GRAD, Prep for

SC Algebra 1 EOC Examination, Math for College Success, Prep for GED Mathematics,

High School Geometry, Integrated Mathematics I, GPS Integrated High School Math

I (GA), Algebra 2, Algebra 2 with Trigonometry, PreCalculus, Trigonometry, High

School Preparation for Algebra 1, Foundations of High School Math, Mastery of SAT

Math, Math Prep for California High School Exit Exam, Prep for FL Algebra 1 EOC

Assessment, Prep for FL Geometry EOC Assessment, Prep for LA Geometry EOC

Assessment, Prep for SC HSAP Mathematics, Prep for TX - STAAR Geometry, Math

Prep for TAKS – HS Exit Exam, Math for 4-Year College Success, Math Review for AP

Physics, Math Review for AP Calculus, Prep for AP Chemistry, and AP Chemistry.

Tablet Courses: iPad (iOS 6+) and some Android Tablet devices (Android 4+) can be used with the following courses: All Elementary School courses, All Middle School courses, Math Intervention, Math for College Readiness, High School Preparation for

Algebra 1, Foundations of High School Math, Prep for IN Algebra 1 ECA, Prep for

LA Algebra 1 EOC Assessment, Prep for PA Algebra 1 Keystone Exam, Prep for

TX - STAAR Algebra 1, Prep for MN Mathematics GRAD, Prep for SC Algebra 1

EOC Examination, Math for College Success, Prep for GED Mathematics, Algebra

2 with Trigonometry, PreCalculus, Trigonometry, Math Prep for TAKS – HS Exit

Exam, Math for 4-Year College Success, Math Review for AP Calculus, Middle School

Geometry, Math Prep for California High School Exit Exam, Prep for FL Algebra 1

EOC Assessment, Support for CA High School Geometry, CA High School Geometry,

High School Geometry, Integrated Mathematics I, GPS Integrated High School Math

I, Algebra 2, Algebra 2 with Trigonometry, PreCalculus, Trigonometry, Mastery of

SAT Math, Prep for FL Geometry EOC Assessment, Prep for LA Geometry EOC

Assessment, Prep for SC HSAP Mathematics, Prep for TX - STAAR Geometry, Math

Prep for TAKS – HS Exit Exam, Math for 4-Year College Success, Math Review for AP

Physics, Math Review for AP Calculus, Prep for AP Chemistry, and AP Chemistry.

Notes:

Âˆ

Where ALEKS is used on a tablet or without Java and the ALEKS plug-in, Firefox

10 and higher are supported.

Note that any kind of Internet connection (cable, ISDN, DSL, or wireless) usually available in a computer lab is adequate for use with ALEKS. If your computer lab has security safeguards in place, you will need the cooperation of your LAN administrator, system administrator, or lab technician to install the ALEKS plug-in.

## 3.3

## Installation

Installation of the ALEKS plug-in takes place from the ALEKS website (Fig. 3.2):

3.3. INSTALLATION

Figure 3.2: The ALEKS Website http://www.aleks.com

NOTE. You must use this URL to access ALEKS. You may wish to mark this website in your browser with a Bookmark or Favorite or by creating a shortcut of some kind.

Close all applications other than your web browser before beginning installation.

Installation of the ALEKS plug-in is automatic. If you attempt to use the system directly by clicking on Free Trial or on SIGN UP NOW!, the system will automatically check to see whether your computer has a recent plug-in installed. If no plug-in is detected, the system will ask for your permission to install one.

When you grant permission, the plug-in will be installed. Following installation you must close and reopen your browser application. Installation is also automatic for registered users.

If you need to download and install the plug-in and this does not occur automatically, click on DOWNLOADS (upper right), then on the green >>Download button.

NOTE. This is not a high-risk operation for your computer. The ALEKS plug-in is a small library of Java classes which are used by your browser when you are logged on to ALEKS. They are inactive at other times and do not do anything except provide functionality for ALEKS. They can easily be removed from the computer with no other effect except that ALEKS ceases to be usable on that computer. ALEKS Corporation

Customer Support will be happy to answer any questions about the plug-in.

There is also a streaming plug-in which can be used in situations where it is not possible to download or install a plug-in on the local computer. To utilize the streaming plug-in, go to the following website:

7

8 CHAPTER 3. SETUP GUIDE FOR INSTRUCTORS http://www.aleks.com/plugin

The ALEKS home page will appear. Log on to ALEKS as you normally would. On the screen you will see text that reads Downloading ALEKS Streaming Plug-in. After a few moments, depending on your internet connection, the plug-in will finish loading into memory and you will be able to use ALEKS.

NOTE. If the browser window being used to navigate ALEKS is closed, the streaming plug-in will need to be downloaded again by returning to www.aleks.com/plugin before signing into ALEKS again.

Important: The streaming plug-in should NOT be used in a school or college computer lab, or any other location where more than one person is using ALEKS at the same time. In any educational lab setting, the regular ALEKS plug-in MUST be installed.

If the streaming plug-in is used in a lab setting, it may disrupt the functioning of the network.

## 3.4

## Instructor Module

To enter the ALEKS Instructor Module, log on to ALEKS with your Instructor Login

Name and Password. The Instructor Module lets you monitor and manage your ALEKS classes. The Instructor Module is designed for ease of use; it guides users through the steps needed to accomplish tasks in such a way that no separate training is needed and mistakes or confusion are unlikely. See Chapter 7 for a complete description of the

Instructor Module.

## 3.5

## Lab Check

To ensure the best possible experience of ALEKS for your students, we recommend that you check the computer lab in which ALEKS will be used before the first session. This means installing and testing the plug-in on some or (preferably) all of the computers in the lab. If security measures are in effect, you will need the cooperation of the lab administrator to install the plug-in. For instructions on how to install and test ALEKS, see Sec. 3.3.

If the ALEKS plug-in is not pre-installed and tested in this way, it will be installed when your students first access the system. This will take away a certain amount of time from their use of the system. Also, if there is some problem in the lab that makes installation difficult, it is better to resolve it before the students arrive.

3.6. STUDENT ORIENTATION

## 3.6

## Student Orientation

It is strongly recommended that the first ALEKS session be conducted under supervision, perhaps with another instructor on hand, to help your students get started. It is not generally necessary to schedule a separate orientation meeting before the students begin using the system. It is also advisable for students to have pencil and paper for assessments in ALEKS. A calculator is included in ALEKS when needed. Remind your students that help is not permitted during the assessment, because this will impair the accuracy of the results, and consequently hinder that student’s progress in the Learning

Mode.

If possible, the students’ first session with ALEKS should allow them to complete their assessments and begin work in the Learning Mode. If the students are unable to finish their assessments during this time, ALEKS will automatically keep their place. The next time the students log on to ALEKS they may continue without any loss of work.

9

## 3.7

## Registration

Students register with ALEKS by going to the ALEKS website and clicking on SIGN

UP NOW! This will be expedited if the browsers used by the students have Bookmarks or Favorites pointing to the website (Sec. 3.3).

NOTE. In order to register, all students must have the Class Code for the class that you are teaching. The Class Code will either be sent to you by ALEKS Corporation

(in your ALEKS Inbox), or be obtained when you create the class (Sec. 7.4.1). You are responsible for giving this code to the students at the time of the first session (Sec. 2.1).

The student registration process is described in detail in the Student User Guide (Appendix A). There are complete online instructions for every step of this simple procedure. Among other information, students can supply their Student ID number (if you wish to have this in the system). Special care should be taken in entering the latter, as the system cannot detect mistyping. The Student ID is optional information.

Near the conclusion of Registration students receive a Login Name and choose a Password. These should be noted carefully, as they will be essential for all further work with ALEKS. Students should choose a password they will remember easily but that will be hard for others to guess. Login Name and Password can be typed with upper or lower-case letters. Neither may contain spaces or punctuation. The Password must contain at least 6 characters.

At the end of Registration, students are asked to wait for their instructor’s authorization.

For a complete description of how instructors authorize the registration of their students, see Sec. 3.8. The students can log off at this point and log back in later, using the Login

Name and Password provided. As soon as the instructor authorizes their registration they can start using ALEKS.

10 CHAPTER 3. SETUP GUIDE FOR INSTRUCTORS

## 3.8

## Instructor Authorization of Student Registration

The following is a more detailed description of the student registration process, highlighting the actions by which you authorize students’ registration.

A student wishing to register with ALEKS begins on the ALEKS home page by clicking on the link marked SIGN UP NOW, located to the left of the home page, under the space for Registered Users (Fig. 3.2).

Figure 3.3: Registration

Next the student is asked to enter the Class Code which has been provided by the instructor (Fig. 3.3). Since each Class Code is assigned to a class defined by grade level, the Class Code entered by the student tells ALEKS the grade level at which the student is seeking to register. The spaces for this code are in the left-hand part of the window.

Do not use the button on the right-hand side of the window.

Following entry of the Class Code, the student is given information on the class selected and on the process of beginning to use ALEKS.

Subsequently, ALEKS asks for full first and last names, and then provides a Login Name consisting of the student’s first initial, last name, and usually a number (Fig. 3.4). The student is also provided with a password.

Students have the opportunity to enter an email address and a Student ID number.

Students are not required to provide this information.

3.8. INSTRUCTOR AUTHORIZATION OF STUDENT REGISTRATION 11

Figure 3.4: Registration (continued)

At this point the student is told that authorization is needed from the instructor before registration can be completed (Fig. 3.5). Until the instructor logs onto ALEKS and provides authorization, the student will not be able to get further than this page.

Once authorization is provided, the student will be able to click Next and begin using

ALEKS. If the instructor cannot authorize immediately, the student is able to log off at this point and log back on at a later time using the Login Name and Password provided; if the instructor has authorized registration, the student will then begin using ALEKS.

In order to authorize registration, log on to your instructor account using the Login

Name and Password received at registration or from ALEKS Corporation. If there are students in the class awaiting registration, on your Dashboard, you will see Authorize

Students (Fig. 3.6). To authorize students, select Authorize Students from the

Instructor Administration menu (Fig. 3.7).

12 CHAPTER 3. SETUP GUIDE FOR INSTRUCTORS

Figure 3.5: Registration (continued)

Figure 3.6: Registration (continued)

3.9. PRE-REGISTRATION

Figure 3.7: Registration (continued)

## 3.9

## Pre-Registration

The ALEKS Pre-Registration function allows teachers to register a group of students at the same time, without the students’ needing to register themselves individually.

To use this feature, from Home, select Instructor Administration, followed by

Enroll/Pre-Register. This link is also available on the Class Administration menu.

You have the option of copying and pasting data from an existing Excel document or other electronic spreadsheet or of entering the students’ information manually. In either case, the minimum information required is the first and last names of the students; other information is optional. If you choose to copy-and-paste, there is a text box that allows you to paste the data directly. The information will then be organized into rows and columns, and you can select the headings for each column. Once the data is saved, the

Login Names and Passwords for the new accounts will be displayed, and will also be sent to you as a message.

If the By Typing option is selected, you will see a spreadsheet where you can enter the

First Names, Last Names, and other data for your students. The procedure is otherwise as described above.

NOTE. When registering students in this manner, the school must have the appropriate number and type of subscriptions available to register all of the students in the class.

## 3.10

## Batch Registration

ALEKS school and district administrators can quickly register multiple students using the School and District Batch Registration feature. The Batch Registration feature is intended to be used when registering 100 or more students. If registering less than 100 students, the ALEKS Pre-Registration feature is preferable to Batch Registration.

ALEKS Batch Registration allows ALEKS administrators to:

13

14 CHAPTER 3. SETUP GUIDE FOR INSTRUCTORS

Âˆ

Generate new ALEKS classes.

Âˆ

Register new students in the appropriate classes.

Âˆ

Generate new ALEKS instructors accounts.

3.10.1

Batch Registration Process

The Batch Registration feature can be accessed through your ALEKS administrator account as follows:

School Administrators

Âˆ

To batch register students, select Home, Institution Administration, followed by Batch Registration.

District Administrators

Âˆ

Âˆ

To batch register students at more than one school in the district, select

Home, Institution Administration, followed by Batch Registration.

To batch register students at a school, select a school from the Institution tab, select Subscriptions, followed by Batch Registration.

Figure 3.8: School Batch Registration

Before you begin:

1. Download and complete the Batch Template (See Sec. 3.10.2).

3.10. BATCH REGISTRATION

2. Check the number of subscriptions you have available (Fig. 3.8).

STEP 1. Begin Batch Registration

Âˆ

Select a starting term from the drop-down menu.

Âˆ

Select a subscription type. Use one subscription type per Batch Registration process.

Âˆ

When more subscriptions are needed you can use the link available to order more.

STEP 2. Upload the Batch Template

Âˆ

Use the Browse button to upload the Batch Template file (only the extensions

.xls and .xlsx are accepted).

Âˆ

Click on the Next button to begin the upload.

STEP 3. Summary of information

Âˆ

Review the information displayed on the screen after the upload.

Âˆ

If satisfied with the data entered, click to authorize the use of the required subscriptions or cancel the Batch Registration process.

After the administrator authorizes the batch to be processed, they will receive an email indicating that a Batch Registration is in process. The email is a summary of the subscription type being used and approximately how long the process will take.

NOTE. Students already registered, but included in the Batch Template, will not be registered twice. These students will appear in red.

15

Figure 3.9: Batch Template

3.10.2

Batch Template

The Batch Template is a preformatted spreadsheet that contains column headers based on the required information needed to process a Batch Registration. Administrators should not edit, add, delete, or rearrange any of the columns in the spreadsheet. Administrators must click on the Download the Batch Template (excel spreadsheet) link and save it to their computer (Fig. 3.8). If you need guidance on how to fill out the

16 CHAPTER 3. SETUP GUIDE FOR INSTRUCTORS

Batch Template, click on the View Batch Template instructions and required information link. Clicking on this link will open a pop-up. Administrators can refer to this pop-up while entering data into the Batch Template.

ALEKS administrators must enter required information in all column headers highlighted in yellow (Fig. 3.9). Once the Batch Template is filled out, it is important for you to check the spreadsheet for any incomplete data before processing the Batch

Registration. A correctly completed spreadsheet will help prevent having to correct errors that may be found during the registration process. Batch Registration allows instructors to register up to 10,000 students per batch process.

3.10.3

Batch Confirmation

ALEKS automatically sends a confirmation message to the administrator when the

Batch Registration is completed. Instructors of each newly created class will receive a message containing the login names and passwords for the registered students. The administrator will also receive a copy of each message.

## 3.11

## Tutorial

Following Registration, the students enter a brief tutorial on the use of ALEKS input tools, also called the Answer Editor Tutorial (Sec. 4.5). There are separate tutorials for different subjects, since the specific tools for them differ somewhat. The ALEKS

Tutorial provides ample feedback to ensure that students complete it successfully.

NOTE. The tutorial is not intended to teach mathematical knowledge, but rather to train students in using the system tools. If students need a “refresher” on the use of the system tools, it is always possible to click on the “Help” button, which gives access to the sections of the tutorial (Sec. 5.2.15).

## 3.12

## First Assessment

Immediately after the tutorial, students proceed to their Initial Assessment (Chap. 4).

To reiterate, no help of any kind should be given to students being assessed, not even rephrasing a problem. It is also advisable for students to have pencil and paper for assessments in ALEKS. A calculator is included in ALEKS when needed.

The ALEKS assessment is adaptive and variable in length. Consistency of effort and concentration may influence the length of an assessment.

NOTE. All students will be assessed on their first use of the system. This will provide you with a baseline picture of your class and of each individual student.

3.13. REPORT TUTORIAL

## 3.13

## Report Tutorial

At the conclusion of the Initial Assessment, the student is given a brief tutorial on how to interpret the Assessment Report. This will be in the form of a color-coded pie chart, with accompanying textual information (Sec. 4.12).

Explain to students that subsequent assessments will produce only the pie chart. The pie chart also appears in the Learning Mode each time a new concept is mastered and added to the pie. If the student wishes to choose a new topic, the pie can always be accessed by clicking the MyPie button.

17

## 3.14

## Beginning the Learning Mode

Students enter the Learning Mode by clicking on one of the topics contained in their pie chart (topics they are ready to learn). If at all possible, the students should be given sufficient time in their first ALEKS session to use the Learning Mode and begin to add concepts to their pie. If they have this experience, their interest in using ALEKS will be more favorable. You should also be present to answer questions regarding the

Learning Mode and to help your students familiarize themselves with its varied features.

This is particularly important for when they will have to use ALEKS unsupervised.

18 CHAPTER 3. SETUP GUIDE FOR INSTRUCTORS

# Chapter 4

# Assessment Mode

The Assessment Mode is the heart of the ALEKS system. The program quickly and accurately determines a student’s knowledge, in order to deliver individualized instruction on the exact topics the student is ready to learn. In ALEKS, learning is powered and optimized by assessment.

## 4.1

## Assessments in ALEKS

The ALEKS assessment uses open-ended problems (no multiple-choice questions). The assessment uses adaptive questioning, so that problem types are selected based on all the previous answers the student has given. It is impossible to predict which types of problems will appear, or in what order. Moreover, the problems themselves are generated algorithmically, with randomly-selected values (as is the case also in the

Learning Mode). Consequently, students cannot “learn the assessment,” teachers are unable to “teach to the assessment,” and some types of cheating are impossible. In the unlikely event that two students sitting next to one another were given the same problem-type at the same time, the problem parameters and values would be different, and so would the correct answer. Certain assessments should be supervised, however, such as the first, interim, and final assessments in a class. Without supervision, students could use a textbook, receive systematic help, or have someone else take the assessment in their place. (There is no reason for a student who has begun using ALEKS to cheat on a “progress” assessment, as this will simply cause the system to suggest problems that are too difficult, and thus hinder the student’s own work.)

The student will be given an Initial Assessment immediately following completion of the ALEKS Tutorial (Sec. 3.12). The student is clearly informed that the assessment is beginning. Next, a series of mathematical problems is posed to the student. The student provides the solution to each problem using the Answer Editor (or clicks I haven’t learned this yet). In Assessment Mode, the system does not inform the student whether their answer is correct or incorrect. The assessment continues until

19

20 CHAPTER 4. ASSESSMENT MODE the system has determined the student’s precise knowledge of the class materials, at which time the assessment ends and a report is presented to the student. The number of questions asked cannot be known in advance, although consistent effort and attention may contribute to shorter assessments.

## 4.2

## Guidelines for Assessments

ALEKS assessments are an important part of the ALEKS program. It is essential that assessments be conducted according to certain guidelines. If there is an atmosphere permitting disturbances or distractions, students may not do their best. If assessment results are inaccurate, the system will give the student inappropriate problems and progress will initially be impaired. The system will recover and find the right level, but the student may still experience a degree of frustration. In order to avoid this, it is strongly recommended that the first assessment be taken under the instructor’s supervision (Sec. 3.12).

All students being assessed need paper and pencil. A basic calculator is part of ALEKS, and will be available when appropriate. It is important that no assistance be given to the student. Explaining or rephrasing a problem should be avoided; this is considered inappropriate help. Students should be instructed to use the I haven’t learned this yet button only when they are completely unfamiliar with the topic. It is not possible to return to previous assessment questions. Students should not click their browser’s

Back or Forward buttons when using ALEKS.

## 4.3

## How Assessments are Triggered

All ALEKS assessments work in much the same way, though they are triggered for different reasons, as explained in the following sections.

4.3.1

Initial Assessment

The Initial Assessment takes place at the outset of a student’s use of ALEKS, immediately after Registration and the ALEKS Tutorial (Sec. 3.12). We strongly recommend that students take this Initial Assessment in a supervised computer lab setting, to ensure that they do not receive help or collaborate. In creating or editing a class account, the instructor can stipulate that the Initial Assessment be allowed only from school

(Sec. 7.4.24).

4.3. HOW ASSESSMENTS ARE TRIGGERED

4.3.2

Automatic Assessments

Additional assessments after the Initial Assessment are triggered automatically by the system based on the student’s rate of progress and on the amount of time the student has spent working in ALEKS. ALEKS triggers the following automatic assessments:

Progress Assessment when the student has mastered approximately 20 topics in the Learning Mode and spent at least 5 hours working in ALEKS since the last assessment.

Login Time Assessment when the student has spent 10 hours working in the Learning Mode since the last assessment.

Periodic Assessment when 60 days have passed since the last assessment.

Objective Completion Assessment when the student completes the material of a textbook chapter or objective or reaches the assigned Mastery Level (Sec. 7.4.6).

Goal Completion Assessment when the student has completed the final topic of the pie chart. If the assessment does not confirm the student’s mastery of the class materials, the student will return to the Learning Mode. Consequently, more than one Goal Completion

Assessment is possible, but ALEKS will not reassess the student if a only small number of topics need to be relearned.

These are all Progress-style assessments. Some modification of the parameters given above is possible; contact ALEKS Corporation Customer Support for assistance if you would like to adjust them.

Note that a Progress, Login Time, or Periodic Assessment “resets the clock,” so that assessments do not occur one on top of another. In general, ALEKS will avoid triggering unnecessary re-assessments.

Progress made by the student through the Learning Mode, or as the result of an assessment, periodically updates the list of available topics, displaying a new pie chart and new choices of concepts the student is “ready to learn.” The automatic assessments check the students’ retention of recently learned material, and may also include topics the student is ready to learn.

NOTE. Automatic assessments may be postponed due to a scheduled assignment. This occurs when the assignment has the Prevent automatic assessments box checked

(Sec. 7.5.6). Also, to avoid the over-assessment of students, all automatic assessments will be prevented for students with 10 or fewer items remaining in an Objective or in the 48 hours preceding the Objective end date.

21

22 CHAPTER 4. ASSESSMENT MODE

For Objectives without end dates, automatic assessments will be prevented for students with 10 or fewer items remaining to complete the current Objective, regardless of the mastery levels set (Sec. 7.4.6).

4.3.3

Scheduled Assessments

To schedule an assessment for the entire class or for specific students, select a class, click on Assignments, and then select New Scheduled Assessment. For example, the instructor, department, or school may wish to have “interim” assessments under supervision to guarantee reliable results. They have the option of selecting the style of assessment as Progress or Comprehensive. Progress Assessments are slightly shorter and focus on the student’s most recent learning history; Comprehensive Assessments are slightly longer and probe more deeply into the student’s overall knowledge of the class content.

ALEKS allows the instructor to choose the availability of Scheduled Assessments by specifying a beginning and ending date and time and how students access that assessment when it becomes available. Also among the options for a Scheduled Assessment is one to prevent automatic assessments within a certain number of days prior to the

Scheduled Assessment. Note that any assessment scheduled by the instructor “resets the clock” for automatic assessments, so that students will not be assessed too frequently.

For additional information about Scheduled Assessments, see Sec. 7.5.9.

4.3.4

Requested Assessments for a Single Student

As an instructor, you can also request an assessment for a single student. To do this, select the student, and then on the Assignments menu, select Request Assessment.

When a Requested Assessment is triggered, the assessment will take place immediately the next time the student logs in (compared to the Scheduled Assessment, where the student is only prompted to take the assessment after the date or time specified by the instructor). Like the Scheduled Assessment, a Requested Assessment for a single student “resets the clock” for automatic assessments. The results of this assessment will not be included in the Gradebook.

The style of a Requested Assessment can also be set to Progress or Comprehensive.

Progress Assessments are slightly shorter and focus on the student’s most recent learning history; Comprehensive Assessments are slightly longer and probe more deeply into the student’s overall knowledge of the class content.

For additional information about Requested Assessments, see Sec. 7.8.9.

4.4. BUTTONS

Figure 4.1: The Answer Editor for Mathematical Expressions (Assessment)

## 4.4

## Buttons

The Assessment Mode (Fig. 4.1) has a reduced set of active menu buttons. The student being assessed is able to leave the system, by clicking on their name (top right) followed by Log out, or get help on use of the Answer Editor by using the Help button. Other buttons appear, but they are disabled. All of the ALEKS menu buttons are enabled in the Learning Mode (Sec. 5.2).

The two aspects of the ALEKS interface relevant to work in the Assessment Mode are the Answer Editor and the Assessment Report (Sec. 4.12).

## 4.5

## Answer Editor

Input to the ALEKS system is always in the form of proper mathematical expressions and constructions, never multiple choice. A critical reason for this is to check students’ knowledge accurately. Another purpose is to train students in the skills needed for conventional, paper-and-pencil communication of solutions and results. The sophistication of the ALEKS input tools provides additional advantages. The presentation of results is always neat and clear. The ALEKS graphing tools allow students to draw accurate graphs and geometrical constructions. Immediate feedback is provided on the formal completeness of solutions.

The general term for the input tools used in ALEKS is the Answer Editor. This encompasses a variety of actual modes for user input: an Answer Editor for mathematical expressions, an Answer Editor for the number line, and an Answer Editor for graphing in the Cartesian plane (with x and y coordinate axes). A student beginning to use

ALEKS is trained in how to use the features of the Answer Editor that are relevant to the subject (Sec. 3.11).

In much of what follows in the tutorial, emphasis is on the Answer Editor for mathematical expressions, as this is the section which involves the greatest degree of interplay between mouse, keyboard, and on-screen buttons and icons.

23

24 CHAPTER 4. ASSESSMENT MODE

## 4.6

## Manipulators for Mathematical Expressions

The Answer Editor for mathematical expressions consists of two parts: a rectangular field where mathematical expressions are entered (the entry field) is to the left, and a keypad made of buttons with mathematical symbols is to the right (Fig. 4.1). These buttons have labels in the Tutorial, but not afterwards. Mathematical expressions are entered and edited using the buttons of the Answer Editor keypad, as well as the basic keyboard, the Left and Right arrow keys, the Tab, Enter, and Backspace keys, and the mouse.

NOTE. Buttons are displayed to correspond with the kind of problem being solved.

The selection is made in such a way as to avoid giving a hint to the correct answer.

Keyboard shortcuts (Fig. 4.2) work only when the corresponding button is displayed.

Expression Answer Editor keypad button Keyboard equivalent

Square Root

Fraction

Mixed Number

[ ] p

[ ]

[ ]

[ ]

[ ]

[ ]

[ ]

[ ][ ] Repeating Decimal

Absolute Value

List of Expressions

[ ] |[ ]|

[ ], [ ], . . .

[ ]

[ ]

Exponent

Multiplication Expression [ ] × [ ]

Percentage %

,

(none)

/

(none)

(none)

(none)

∧ (before exponent)

∗

%

Greater-Than

Less-Than

[ ] > [ ]

[ ] < [ ]

Greater-Than-or-Equal-To [ ] ≥ [ ]

Less-Than-or-Equal-To

Equal-To

[ ] ≤ [ ]

[ ] = [ ]

Not-Equal-To

AND

OR

[ ] 6= [ ]

AN D

OR

>

<

(none)

(none)

=

(none)

(none)

(none)

Figure 4.2: Mathematical Expressions Produced by the Answer Editor

4.6.1

Basic Input

When a new page is opened and contains a problem whose solution is a mathematical expression, the entry field initially contains at least one blue box. Each blue box represents a mathematical expression forming part of the complete answer. To enter a mathematical expression the student must first click on a blue box. When this is done, the cursor (or “caret”) appears inside the box. The cursor marks the point at which something is entered. Material can be entered using the basic keyboard or the buttons

4.7. MATHEMATICAL EXPRESSIONS

Key

Right arrow -

Tab - Enter -

Spacebar

Left arrow

Backspace

Effect moves the cursor one place to the right

(ahead) moves the cursor one place to the left (back) deletes input immediately preceding (to the left of) the cursor and moves the cursor one place to the left (back) OR deletes selected input

Figure 4.3: Using Special Keys in the Answer Editor of the keypad. Individual digits can be entered only from the keyboard. Symbols can be entered using the buttons of the keypad or sometimes from the keyboard (Fig. 4.2).

25

4.6.2

Basic Editing Tools

The cursor, showing the point at which material is entered, can be moved using the

Left and Right arrows, the Tab and Enter keys, as well as the Spacebar. It can also be positioned using the mouse. Input can be deleted using the Backspace key (Fig. 4.3).

4.6.3

Selecting Input

It is possible to select a continuous portion of input by dragging the pointer with the mouse button held down. A segment that has been selected by dragging in this way can be deleted by pressing Backspace, replaced by typing, or replaced by clicking the buttons of the Answer Editor keypad. It can also be inserted into a mathematical expression such as a fraction or a square root (the selected portion is placed in the numerator position or under the square root sign, respectively).

4.6.4

Clear and Undo

After material has been entered, the field can be returned to its empty state by clicking

Clear. Clicking Undo cancels the most recent action. Clicking Undo a second time restores the effect of the canceled action (including a Clear command).

## 4.7

## Mathematical Expressions

The purpose of the Answer Editor for mathematical expressions is to process user input in the form of correct mathematical expressions. One important way in which the

Answer Editor guides the user in constructing such expressions is by means of the blue

26 CHAPTER 4. ASSESSMENT MODE boxes. If a blue box remains on the screen, you know that the input typed so far is not yet complete.

4.7.1

Entering Expressions from the Keyboard

For expressions that do not require the use of the Answer Editor keypad, the user can place the cursor within a blue box and enter the mathematical expression from the keyboard. For many expressions, however, the Answer Editor keypad must be used.

Some types of expressions can be entered by either keypad or keyboard (Fig. 4.2).

4.7.2

Using the Answer Editor Keypad to Structure Simple Expressions

To form a simple mathematical expression, the user places the cursor in an empty blue box and clicks on the appropriate button from the Answer Editor keypad. The initial blue box disappears and new blue boxes may appear (depending on the button), accompanied by all of the necessary signs. The user can now fill in the new boxes.

4.7.3

Entering Complex Expressions

Sometimes it is necessary to enter more complex mathematical expressions, where multiple boxes are used. By placing the cursor in one of these boxes, an expression can be entered from the keyboard, or, by clicking on a button of the Answer Editor keypad, replace it with the structure of a new mathematical expression. Expressions of any degree of complexity can be created in this way.

NOTE. The Answer Editor does not supply parentheses automatically. The user must know when they are necessary. In particular, when there is an expression consisting of more than one symbol that must be raised to a power, the student may need to enclose it in parentheses, just as in writing; otherwise, only the final symbol (the one just before the exponent) will be raised to the given power.

4.7.4

Alternate Ways of Entering Expressions

The buttons of the Answer Editor keypad can be used in other ways as well. In particular, users can select some portion of the input in the entry field which constitutes a complete mathematical expression, and then click on a keypad button. This will create a new mathematical expression within which the expression selected is one component. The same basic rule applies: the minimum unit of manipulation is a complete mathematical expression.

4.8. TYPES OF MATHEMATICAL EXPRESSIONS

4.7.5

Other Mathematical Signs

The following mathematical signs can be entered only from the keyboard:

Âˆ

The plus sign (+).

Âˆ

The minus sign (-), both for connecting the two parts of a subtraction expression and for designating a negative number.

Âˆ

The period (.) used in decimals.

Âˆ

The comma (,) used to punctuate numbers of more than three places.

27

4.7.6

The Asterisk for Multiplication

This is a special case. The “x” character on the keyboard cannot be used to enter a multiplication sign. Only the asterisk (*) serves this purpose. (The multiplication sign on the Answer Editor keypad, however, is the traditional x-shaped symbol.)

4.7.7

Mixed Numbers

This is another special case. Although fractions can be entered from the keyboard using the front slash character (/), mixed numbers cannot be entered this way. In other words, the Answer Editor does not automatically regard a whole number followed by a fraction as a mixed number. The mixed number button on the Answer Editor keypad must be used to enter mixed numbers.

## 4.8

## Types of Mathematical Expressions

The following set of directions is intended to illustrate the variety of ways in which mathematical expressions can be entered using the Answer Editor.

Here, Button will always refer to a button on the Answer Editor keypad. By select we mean drag the mouse over the expression to be selected with the mouse button depressed.

Percentage 48%

Here you can use either the Answer Editor keypad or the regular keyboard to enter signs:

Âˆ

Âˆ

Enter the expression you wish to express as a percentage and click on the percent button; OR

Enter the expression you wish to express as a percentage and then enter the

(keyboard) percent sign.

28 CHAPTER 4. ASSESSMENT MODE

Fraction

Fractions can be entered in at least three ways:

7

10

Âˆ

Âˆ

Âˆ

Enter the numerator, enter a (keyboard) forward slash character, and enter the denominator; OR

Enter the numerator, click on the fraction button, and enter the denominator;

OR

Click on the fraction button, enter the numerator, then click on the blue square in the position of the denominator and enter the denominator. You can also advance the cursor to the position of the denominator using the keyboard.

Mixed Number 5

7

8

Mixed numbers can be entered in more than one way, but each way requires use of the mixed number button:

Âˆ

Âˆ

Enter the whole number part, click on the mixed number button, enter the numerator, press Enter, and enter the denominator; OR

Click on the mixed number button, enter the whole number part, press the right arrow, enter the numerator, move the cursor to the denominator position, and enter the denominator (i.e., fill in the boxes).

Repeating Decimal 1.27

Âˆ

Âˆ

Enter all digits that precede the repeating pattern, including the decimal point

(a period on the keyboard) and any decimal places preceding the pattern, click on the bar button, and enter the repeating pattern; OR

Enter all digits, including the decimal point (a period on the keyboard) and all decimal positions following it, select the repeating pattern only, and click on the bar button.

Fraction in square root followed by multiplier q

5

8

× 3

For this example only one input method is given, but others could be suggested:

Âˆ

Click on the square root sign button, click on the fraction button, enter the numerator, tab, enter the denominator, then tab, enter an asterisk (from the keyboard), and enter the multiplier.

List 1, 2, 3

For the purposes of the following example, assume that there is a list consisting of three components to be entered:

Âˆ

Âˆ

Enter the first expression, click on the list button (or press the keyboard comma), enter the second expression, click on the list button, enter the third expression, click on the list button, and enter the fourth expression; OR

Click on the list button (or press the keyboard comma) twice, click on the first blue box, enter the first expression, move the cursor right, enter the second expression, move the cursor right, and enter the third expression.

4.9. ADVANCED MATHEMATICAL EXPRESSIONS

Answers with Units 10 cups

There are also some cases where the Answer Editor does part of the formatting.

For example, in problems where answers must be expressed in some kind of units, such as dollars or meters, the unit expression needed may appear in advance.

Square Root

√

81

Âˆ

Âˆ

Click on the square root button and enter the expression into the square root sign; OR

Enter the expression you wish to appear under the square root sign, select it, and click on the square root button.

In the simple example just given the second method reverses the sequence of steps of the first method. Such complementary methods are typical.

Absolute Value

Another pair of complementary methods:

| − 6|

Âˆ

Âˆ

Click on the absolute value button and enter the expression whose absolute value you wish to express; OR

Enter the expression whose absolute value you wish to express, highlight the entire expression, and click on the absolute value button.

Exponent 3

2

Âˆ

Âˆ

Enter the expression you wish to raise to a power, click on the exponent button, and enter the exponent; OR

Click on the Exponent button, enter the base, then move the cursor to the exponent box and enter the exponent.

NOTE. If the number you wish to raise to a power is more complex, it may need to be enclosed in parentheses (Sec. 4.7.3).

Square Root Preceded by Multiplier 2

√

6

With more complex expressions, you can use the mouse to place the cursor in the needed position, as in the second method:

Âˆ

Âˆ

Enter the multiplier, click on the square root button, and enter the expression you wish to be under the square root sign; OR

Click on the square root button, click to the left of the square root sign, enter the multiplier, tab (or press the right arrow, or press Enter, or press the

Spacebar, or click on the blue box under the square root sign), and enter the expression you wish to be under the square root sign.

29

## 4.9

## Advanced Mathematical Expressions

The following types of mathematical expressions occur in more advanced subjects.

30 CHAPTER 4. ASSESSMENT MODE

To create a matrix, click on an icon corresponding to the dimensions desired (2 × 2,

2 × 3, etc.), then fill in the cells with appropriate values.

For topics involving set notation, there will appear icons for each of the special symbols required, such as curly braces, “belongs to,” “such that,” the real numbers, the integers, and so forth.

## 4.10

## The Answer Editor for Graphing

Figure 4.4: The Answer Editor for Graphing

The Answer Editor for graphing consists of a Cartesian plane with x− and y− coordinate axes and a selection of other tools for graphing lines and regions of the plane (Fig. 4.4).

To graph a line, use the pencil tool to plot two points. Then, align the straightedge

(ruler) on the two points (it is a “grabby” tool and will jump to a point when it is near it). Then use the pencil tool to draw the line. Note that the effect of the straightedge continues past its ends, so there is no need to move it to make a line going from edge to edge of the depicted plane. The line should be started within the graph area, however.

To fill in a region, first, draw all the lines defining the region. Then use the region tool and click in the desired region of the plane. In order for one or more of the lines defining a region to be dotted (as in the graph of a system containing one or more strict inequalities), click on the line with the dotted line tool. This may be done before or after the region is filled.

4.11. THE ANSWER EDITOR FOR HISTOGRAMS

To draw a graph, use the pencil tool to plot a point. Then, click on the Plot point button twice.

To plot a point where the coordinates are non-integers, use the Plot point button.

Using the keyboard, type the numerical values into the coordinate boxes and click

Plot point.

To draw a graph requiring an asymptote, use the asymptote tool (broken horizontal or vertical line) to place the asymptote as needed. A slanted asymptote may be placed by first drawing two points and then using the tool with a broken diagonal line. Plot the additional points needed for the graph, and then click on the graph button (curved line connecting “X”s).

For each type of conic section, there is a special tool allowing the construction of its graph. Normally, the user clicks once with the tool to establish the center or vertex of the graph, and then one or more additional times to determine its final form.

As with the number line, select the eraser tool and click on any part of a line, arc, or other component to remove it.

## 4.11

## The Answer Editor for Histograms

31

Figure 4.5: The Answer Editor for Histograms

The Answer Editor for histograms consists of a space for drawing histograms and icons

(buttons) for creating and adjusting bars (Fig. 4.5).

32 CHAPTER 4. ASSESSMENT MODE

Initially, the histogram appears with a small number of bars (e.g., two). The height of the bars is adjusted by clicking on the top edge of each and holding the mouse button down while dragging to the desired height. To add bars, click on the icon with the plus sign; to subtract bars, click on the icon with the minus sign. Each bar has a space beneath it where an appropriate label can be typed in.

Any bar may be set to any integer height by dragging. To set the height of a bar at a non-integer value, enter the value in the white area to the upper right of the histogram, then click on the icon with the broken horizontal line. This will place a broken line on the histogram at that height. Any bar may then be dragged to the height of any broken line that has been placed.

## 4.12

## Assessment Report

At the conclusion of an assessment, the system presents the Assessment Report. The interpretation of this report is the same as for pie chart displays found in other places within ALEKS (such as in MyPie). The standard report format is used for all assessment reports (Fig. 4.6).

Figure 4.6: Assessment Report

4.12.1

Interpreting the Pie Chart

A pie chart expresses the results of a given assessment. It contains the following types of information:

4.13. READY TO LEARN

Âˆ

The mathematics topics included in the program.

Âˆ

The relative size of the parts of the mathematics program.

Âˆ

To what extent the student has mastered each part of the mathematics program, according to the assessment results.

Each color-coded slice of the pie chart refers to a particular part of the program, such as Whole Numbers or Proportions and Percents. The portion of the chart taken up by any one area (slice) reflects the size of that area relative to others in the given program.

The degree to which each slice is filled by darker color shows the extent to which the student has mastered that area.

By placing the pointer over one of the slices of the pie chart, the slice expands out of the pie, displaying a list of concepts the student is currently ready to learn. Not every slice necessarily contains such a list, even if the slice has not yet been fully mastered.

This is because a student may not be ready to learn a concept in a given slice before concepts in another slice have been mastered. Clicking on any one of these concepts takes the user into the Learning Mode to begin working on that concept.

33

4.12.2

State Standards Report

In some states and for some classes, there will also be an entry in this display giving access to the state standards report for this student. For a complete description of this feature, see Sec. 7.3.27.

## 4.13

## Ready to Learn

The concepts given as most ready to learn do not represent a casual selection of concepts that the student has not yet mastered. By resuming study with one of these concepts, the student is following the most efficient path to mastery of the complete class (Chap. 9).

## 4.14

## Progress Bars

Another graphic expression of the student’s progress is given by the bar graphs at the bottom of the report (History). These represent the general extent of the student’s mastery:

Âˆ

The blue portion of each bar represents material that was learned as of the given assessment.

34 CHAPTER 4. ASSESSMENT MODE

Âˆ

The green portion represents material mastered in the Learning Mode since that assessment.

Âˆ

The yellow portion represents material belonging to the curriculum for the given level that has yet to be learned.

When the bar is entirely blue, or a combination of blue and green, the student has completed the curriculum for that class.

# Chapter 5

# Learning Mode

## 5.1

## The ALEKS Learning Mode

The purpose of the Learning Mode is to assist students in mastering mathematical concepts. Students using ALEKS choose which concepts they wish to work on from the pool of available topics in the pie slices. This list of available topics is constantly being updated through progress made by the student in Learning Mode or as the result of an assessment. As students are only presented with material the system has determined they are most ready to learn, the benefit of their work is maximized.

In the Learning Mode students always work on one concept at a time. The Learning

Mode provides students with a rich array of resources to help in mastering concepts.

This includes explanations, references to a textbook if one has been integrated with

ALEKS, links to supplemental tutorial material and interactive applications, practice problems, diagnostic feedback on problem solutions, and access to a student mathematical dictionary. Moreover, the Learning Mode is designed to monitor the progress made by students toward mastery of a given concept and advise them on continuing or changing concepts. A student is required to solve an appropriate number of practice problems correctly before the system will conclude that the concept has been mastered. (If the student makes mistakes, additional practice will be required.) Once the concept has been mastered, the student is encouraged to choose a new concept from the (updated) pie chart, but more practice is available if desired.

If the student has difficulty, the system may suggest that the student pay closer attention to the explanations. A new selection may also be encouraged. The student continues to work in the Learning Mode until a new assessment is triggered, either by the instructor or automatically.

Automatic assessments are triggered when the student has either spent a certain amount of time in ALEKS or made a certain amount of progress since the last assessment

(Sec. 4.3.2).

35

36

## 5.2

## Interface Features

CHAPTER 5. LEARNING MODE

The student has a variety of interface features when using their account. These features allow the student to edit personal information related to their account, view reports and gradebook information, and access helpful tools such as the ALEKS Dictionary,

Calculator, and Review.

Students also have the ability to print certain screens in ALEKS. The Print feature will be available when the student generates a worksheet, views their reports, or utilizes the Explain page in Learning Mode. More detailed explanations of these options can be found below.

5.2.1

Ending an ALEKS Session

Students can end a session with ALEKS in two ways: click on their name (top right), followed by Log out , or simply close the browser window. Also, if no input is supplied to the system for 30 minutes, the session is terminated automatically. Whichever way you exit, the system will return you to the same place when you next log in to ALEKS.

5.2.2

English

The Language menu can be used to switch back and forth between English and

Spanish versions of ALEKS. The Spanish translation of ALEKS is complete for all levels.

5.2.3

Resources

Students can access these resources through the Resources page and/or Explain pages of ALEKS based on the accessibility options selected by the instructor. For more details on Resources, see Sec. 7.4.30.

5.2.4

Options

The Options link in ALEKS contains user and class information specific to the student. The student can view their ALEKS Reference account and Email address.

The Report link connects the student to a menu of all assessment reports (Sec. 5.2.5).

The History link displays a list of concepts the student has worked on recently, indicating the level of mastery achieved and providing the opportunity to return to that concept for further practice (see also Review, Sec. 5.2.8).

5.2. INTERFACE FEATURES

Figure 5.1: Options Page

The Options page includes the time the student has currently spent in the ALEKS class. Subscription information is displayed, including the beginning and expiration dates of the account (Fig. 5.1). To return to Learning Mode, click on the Done button.

5.2.5

Report

Clicking on the Report link displays a drop-down menu of all past assessments and time(s) in Learning Mode. Any assessment or learning mode session can be selected (by date) from the menu. Click OK to see the results. The results will include the following:

Âˆ

Pie Chart that graphically displays the student’s progress.

Âˆ

Topics Recently Learned.

Âˆ

Topics Ready to Learn.

Âˆ

Topics the Student Should Try Again (these topics are also the Topics Lost in Recent Assessment).

Âˆ

Progress Bar Graphs (Sec. 4.14).

Some ALEKS course products include a Common Core Standards report in the student’s account. This report displays the student’s mastery of the Common Core

Standards in the ALEKS class. The student also has the Time and Topic Report available under their Report link. This report displays the amount of time spent each day in ALEKS as well as the topics the student has attempted and mastered each day. (The number of topics attempted does not include topics the student worked on in Review mode.) To return to Learning Mode, click on the Done button.

37

38

5.2.6

Dictionary

CHAPTER 5. LEARNING MODE

Figure 5.2: Dictionary

The online dictionary provides scientific and mathematical terms and definitions used in the class. Clicking on the Dictionary button produces a new browser window tab, with a list of section(s) correlated to the pie chart. Students can also access the Dictionary by clicking on underlined words (hypertext links) anywhere in the Learning Mode. Click on any section(s) to access the definition of terms used in that section. Dictionary definitions are designed to present concepts in their simplest form first, moving into greater depth as the definition proceeds (Fig. 5.2).

The Dictionary screen also includes a text entry field to quickly search for key terms and a link to access the Complete Mathematics Dictionary. Selecting the Complete

Mathematics Dictionary link gives access to an index of all the Dictionary’s headings and subheadings. Beneath the index is the Dictionary entry, with links to other entries and graphic illustrations as appropriate. Close the Dictionary window to return to the

Learning Mode.

5.2.7

Calculator

The Calculator button is available for topics where ALEKS permits use of a calculator. Click on this button to use the online calculator.

5.2. INTERFACE FEATURES

5.2.8

Review

The Review button gives a list of concepts the student has recently mastered in the Learning Mode or Assessment. The Click here for more review link gives a comprehensive list of all topics mastered by the student. For more information see Sec. 5.5.

39

5.2.9

Class Forum

The student can access the Class Forum (when it has been enabled by the instructor) by clicking on the Class Forum button. For more information see Sec. 7.4.40.

5.2.10

Gradebook

The student can access the Gradebook for the class by clicking on the Gradebook button. For more information see Sec. 7.4.29.

5.2.11

Calendar

The student can access the Calendar for the class by clicking on the Calendar button. For more information see Sec. 7.4.41.

5.2.12

Worksheet

The student may obtain an individualized, printable homework sheet by clicking

Worksheet. The questions on the worksheet are based on the student’s most recent work in ALEKS. For more information see Sec. 5.6.

5.2.13

Assignments

The student can complete an assignment (Homework, Quiz, Test, or Scheduled Assessment) assigned by the instructor or check the results of assignments by clicking on the Assignments button. If assignments are currently available, the student will see an orange burst on the Assignments button. If the assignment has been scheduled by the instructor, so that the student must begin the assignment as soon as it becomes available, the student will be “forced” into the assignment on login to ALEKS (Sec. 7.5).

40

5.2.14

Inbox

CHAPTER 5. LEARNING MODE

The Inbox allows the student to send messages to the instructor requesting assistance with a topic in ALEKS, help with a specific problem, or for other purposes.

The student can compose a message by clicking on Compose. It is possible to include mathematical notation and illustrations in the message as follows:

1. Click the “math” symbol at the right end of the tool bar. This will switch the user into the “Enhanced message editor,” with its robust set of math tools.

2. Click the Graphs tab for graphing tools, or on Algebra, Trig, Matrix, or

Stat for symbolism specific to these areas.

While working in the Learning Mode, the student can send a specific problem type they are working on to their instructor. This message will contain a link to a screenshot of the practice problem. With the practice problem on the screen, the specific problem may be attached to the email as follows:

1. Click on the Inbox link. This will take you into the ALEKS Message Center.

2. Click on the Compose button.

3. Below the body message section, check the box next to “Attach Page.”

4. Click on the Send button to send the message.

It is possible to include attachments up to 2MB in size (Sec. 7.2.2). It is also possible to send messages directly to ALEKS Corporation. Click on Done to return to the Learning Mode.

5.2.15

Help

The Help button in the Assessment and Learning Modes provides detailed assistance with use of the Answer Editor (Fig. 5.3). The Help Menu contains a list of questions on how to use the various icons of the Answer Editor; clicking on one of the items will take you through a brief tutorial on the use of the icon.

5.2.16

MyPie

Clicking on MyPie produces a pie chart display reflecting the current state of the student’s mastery in the Learning Mode (Sec. 4.12). The student can use this button to select a new concept to work on from among those currently most “ready to learn.”

5.3. THE LEARNING MODE INTERFACE 41

Figure 5.3: Help Menu

## 5.3

## The Learning Mode Interface

The ALEKS Learning Mode allows students to practice topics they are ready to learn.

When students successfully solve a series of problems of the same type, ALEKS will add this problem type or “topic” to the student’s pie chart. If a student experiences difficulty with a topic, ALEKS will attempt to help the student in several ways. Different examples of how to solve the problems will be displayed on the “Explain” pages. The

“Explain” pages link to definitions of terms, a comprehensive dictionary, and a “Help” option. Students receive immediate feedback on their answers.

5.3.1

Practice Page

Clicking on the name of a topic from the student’s pie chart will display a page containing an instance of the problem, followed by the Answer Editor. This is where a solution to the problem can be attempted (Fig. 5.4). All practice problems are generated by algorithms, with randomly selected numerical values, so that the variety of problem instances for any topic is very high.

Below the Answer Editor are buttons labeled Next and Explain. Clicking on Next has the same effect as described for the Assessment Mode: it submits the answer. Here, however, the user is given immediate feedback on their answer (Sec. 5.4). If correct, the

42 CHAPTER 5. LEARNING MODE

Figure 5.4: Practice Page student will receive a congratulatory message. Next, a new problem is presented. In the case where the topic is considered mastered, the student will receive two options; the student can choose to click Done to move on to a different topic, or they can click

More Practice to practice the topic further.

When the student enters an incorrect answer, ALEKS will return the presentation of the original problem with feedback on the student’s error. Students can then click on the Explain button.

5.3.2

Explanation Page

The Explanation Page (Fig. 5.5) begins with the title of the current item and an instance of that item. The answer to the problem is given at the end of the explanation.

When ALEKS is used with textbook integration, a reference will appear at the bottom of the Explanation Page showing the chapter and section of the textbook where additional information about the concept may be found (Sec. 7.4.4). Additional tutorial material and interactive applications may also be found through links at the bottom of the

Explanation Page.

Here again, mathematical terms are linked to dictionary definitions. The system may suggest looking up certain key terms to help with the explanation (especially if the explanation has already been visited). At the bottom of the page is the Practice button. Clicking on this button produces a new instance of the same problem-type.

Sometimes there may also be a button for Additional Explanation or Detailed

Explanation. You can also return to the pie chart to choose a different topic by clicking on the MyPie icon.

5.3.3

Wrong Answer Page

The Wrong Answer Page will appear only after an incorrect answer has been submitted on the practice page (Fig. 5.6). The system may explain why the answer is incorrect

5.3. THE LEARNING MODE INTERFACE 43

Figure 5.5: Explanation Page

Figure 5.6: Wrong Answer Page

44 CHAPTER 5. LEARNING MODE and offer advice on the error. Underlined words (hypertext links) may also appear on the screen for students to look up in the Dictionary.

The old, incorrect answer appears in the Answer Editor, where it can be corrected and resubmitted. Again, clicking on Explain is an option that leads to an explanation of the problem. Please note that the system may also take the student directly to the

“Explain” page if an item has been missed too many times.

## 5.4

## Feedback in Learning Mode

In the Learning Mode, feedback is integrated into a sophisticated system of guidance for the student. Some errors prompt ALEKS to give specific hints and suggestions

(Fig. 5.6). For example, it may say that a fractional answer needs to be reduced or that a list of expressions is incomplete. After a correct answer, the system will ask a limited number of questions for the same concept before judging that it has been mastered. If an item is missed too many times, however, a new topic will be suggested. If a concept has been left without mastery being attained, the system may suggest returning to it after one or two other topics have been covered.

## 5.5

## Review

Figure 5.7: Review

5.6. WORKSHEET

A student using ALEKS can review topics recently mastered in the Learning Mode or

Assessment by using the Review button (Fig. 5.7). Clicking on any of these topics provides the chance for additional practice; this is particularly useful when the student knows that a new assessment is imminent. Click here for more review gives a comprehensive list of topics mastered by the student. ALEKS will periodically offer a student the option of reviewing past material at the time of login. The student can select a topic to review from these recently mastered topics. Clicking on the Done button will return the student to the Learning Mode.

In Review, a student can sort class topics either by “Objectives View” or by “ALEKS

View.” “Objectives View” organizes topics based on the textbook integration or intermediate objectives set up by the instructor. “ALEKS View” organizes topics based on the pie slices.

NOTE. Work done in Review mode does not affect the student’s pie chart or progress records.

45

## 5.6

## Worksheet

Figure 5.8: Worksheet

Clicking the Worksheet button generates an individualized, printable homework sheet

(in PDF format) containing a number of questions based on the student’s most recent work in ALEKS (Fig. 5.8). When the student does this, a sheet containing answers

46 CHAPTER 5. LEARNING MODE for this individual worksheet (labeled with the student’s name and the date) is sent to the instructor via the ALEKS message system (Sec. 7.2.2). The instructor may permit students access to their worksheet answers.

A record will be kept on the Worksheet page of all worksheets produced by the student.

The student can click on the link for any past worksheet in order to obtain that worksheet again. If the instructor has permitted access to worksheet answers, there will also be links on this page to answer keys for each of the worksheets.

NOTE. In order to view or print documents in PDF format, such as the ALEKS worksheet, Adobe Acrobat or Adobe Acrobat Reader must be installed on your computer.

Most computers have this software. If for any reason your computer does not, there is a link on the ALEKS Worksheet page to download it. Also, because the worksheet is opened in a new browser window, it may be necessary to disable your pop-up blocker temporarily in order to view or print the ALEKS worksheet.

# Chapter 6

# QuickTables

QuickTables is a special tool for mastery of Arithmetic facts (Addition, Subtraction,

Multiplication, Division). It is available as part of some ALEKS course products and as an independent ALEKS course product. QuickTables uses individually configured, progressive, paced-response drills to develop mastery of the math facts, in a supportive, colorful interactive environment. Among many other features, it offers a series of games which the students “earn” through the progress that they make toward mastery of the various fact tables.

## 6.1

## Setting Up QuickTables for your Class

In any ALEKS class where you choose to include QuickTables, you can select one or more of the following tables: Addition, Subtraction, Multiplication, and Division.

The selection may be changed at any time; for example, you may start out with only

Addition, then add Subtraction and the others one at a time as the students work their way through these tables.

Some ALEKS course products have QuickTables enabled by default, others not. Depending on the selected class, you will be prompted to add QuickTables at different times during the setup.

When creating a class in ALEKS, if the class has QuickTables included by default, you can add the QuickTables tables as part of the class creation process. If the class does not have QuickTables included by default, you will need to create and save the class before adding the QuickTables via the Class Summary (Sec. 7.4.16) and then Set QuickTables (Sec. 6.1.2).

47

48 CHAPTER 6. QUICKTABLES

Figure 6.1: QuickTables Menu

6.1.1

QuickTables Sub-Navigation

From the QuickTables sub-navigation for the given class, instructors can add tables, modify existing tables, view or update the QuickTables settings, and view reports

(Fig. 6.1).

The available options are:

Âˆ

Create a Table (Sec. 6.1.2)

Âˆ

Edit Tables (Sec. 6.1.3)

Âˆ

QuickTables Class Settings (Sec. 6.1.4)

Âˆ

QuickTables Game Settings (Sec. 6.1.5)

Âˆ

QuickTables Retention Assessment Settings (Sec. 6.1.6)

Âˆ

QuickTables Student Settings (Sec. 6.1.7)

Âˆ

QuickTables Assignments (Sec. 6.2)

Âˆ

QuickTables Reports (Sec. 6.3)

6.1.2

Create a Table

To create a table for the selected class, from the QuickTables sub-navigation, select

Create a table.

On the Create a new table page (Fig. 6.2), you will need to:

1. Select the operation for the table (Addition, Subtraction, Multiplication, Division).

2. Select the range of numbers to be used.

3. Make the table available to all students in this class (the default) or only to selected students.

4. Click Save & Activate Table.

After you have clicked to confirm your choice, the table will be listed under Tables

Currently Active for this Class. If you wish to make changes to the table(s), select

Edit tables (Sec. 6.1.3).

6.1. SETTING UP QUICKTABLES FOR YOUR CLASS 49

Figure 6.2: Create a Table

NOTE. A student’s QuickTables records move with the account, regardless of the class. In order for the records to appear, however, the new class needs to have the same

QuickTables configuration as the original class.

6.1.3

Edit Tables

To edit a table, from the QuickTables sub-navigation, select Edit Tables.

On the Edit Tables page, instructors can do the following:

Âˆ

Reassign Students to a table(s).

Âˆ

Delete a table.

Âˆ

Create a table.

6.1.4

QuickTables Class Settings

The QuickTables Class Settings affect all QuickTables use for the given class. After you gain some experience using QuickTables, you may decide to change some of the default settings (Fig. 6.3).

The available options are:

Âˆ

The daily time limit for the entire QuickTables session (default 15 minutes).

Âˆ

The maximum number of days QuickTables can be used each week (default 3 days).

50 CHAPTER 6. QUICKTABLES

Figure 6.3: QuickTables Class Settings

Âˆ

The tutor character.

Âˆ

The Game Settings (Sec. 6.1.5).

Âˆ

The Retention Assessment Settings (Sec. 6.1.6).

Use of QuickTables should be limited to ensure that students also spend time working in the regular ALEKS class (if applicable). The benefits of using the type of drills that

QuickTables provides are greatest when concentrated in relatively short and well-spaced sessions. These short “bursts” of activity help keep the students’ concentration sharp.

6.1.5

Game Settings

As an incentive and teaching tool, QuickTables offers several short games in which students practice the facts they have been learning.

To access the Game Settings, from the QuickTables sub-navigation, select Class

Settings.

Minimum time to spend on a daily session before games are available

This is the minimum time students must spend in QuickTables before games become available. Please note that if this is set to a length of time greater than the daily time limit for QuickTables (first setting at the top of the QuickTables Course

Settings screen), the student will never have access to the games.

6.1. SETTING UP QUICKTABLES FOR YOUR CLASS

Maximum number of games per daily session

As students progress in QuickTables, they are given access to a greater variety of games. You can limit the number of times a student can play the games in a daily

QuickTables session (default 6).

Reset high score chart

The final option for the Game Settings, is to reset the “high score chart” at regular intervals. Playing QuickTables games, students earn numerical scores that are compared with the scores of other students in the class. The current “high score” is reset at the interval that you choose (default weekly), to establish a regular period of competition among students for added motivation.

51

6.1.6

Retention Assessment Settings

To access the the Retention Assessment Settings, from the QuickTables subnavigation, select Class Settings.

Retention Assessments are given to students when they complete a table in QuickTables.

Their goal is to assess the student’s long-term mastery of the table. QuickTables does not have Progress Assessments. By default, the number of Retention Assessments per table is two. Additionally, by default, the number of days between when a student completes a table and a Retention Assessment is 30 days. Both these settings can be adjusted, as can a location setting for the Retention Assessment. When a Retention

Assessment is triggered, QuickTables will force the student to take it so that they are not able to work in any other table until the assessment is completed.

After a Retention Assessment, the system behaves as it would after an Initial Assessment: if the result of the Retention Assessment is 100%, ALEKS displays the congratulations screen. If not, the student can continue in the Learning Mode. The system will use the result of the Retention Assessment as a starting state for the Learning Mode.

The student does NOT have to work in this table and can choose another available table.

NOTE. By default, ALEKS gives two Retention Assessments per table 30 days after completion, no matter the result of the previous assessment. (Even if the student scored

100% after the first Retention Assessment, the student will have another one 30 days later.) Selecting None means that there will be no Retention Assessment for the class.

Please be aware that if this option was set to one or more, and a Retention Assessment has been triggered, it cannot be canceled. Switching the option to None will not cancel a Retention Assessment that has already started.

6.1.7

QuickTables Student Settings

To modify student settings, from the QuickTables sub-navigation, select Student

Settings.

52 CHAPTER 6. QUICKTABLES

Âˆ

On-screen keypad is a numeric keypad that appears and is controlled using the mouse. You can hide or show this keypad. It can be made available for students who have trouble using the keyboard.

Âˆ

On-screen timer is the the display of the time elapsed for a problem. You can hide or show this timer.

Âˆ

Timer setting is the time that the student is given to input a correct answer.

For effective practice, this number should be as low as reasonable. The Timer setting, for an individual student, cannot be modified until the keyboard exercise is completed.

## 6.2

## QuickTables Assignments

Like the regular ALEKS course products, instructors can create assignments for Quick-

Tables such as assessments, quizzes, and worksheets for the class. QuickTables Assessments and Worksheets are individualized to each student’s current progress. Instructors can also produce customized Worksheets on selected facts from the tables.

6.2.1

QuickTables Scheduled Assessments

In addition to automatic Retention Assessments, instructors can schedule new assessments for an individual student or for the entire class, to assess students on their most recent knowledge of any tables.

To schedule an assessment:

1. From the QuickTables sub-navigation, select New Assessment.

2. Complete the Basic Options and Advanced Options for the quiz and click on

Save & Continue.

3. Click Done to confirm the information.

To edit an assessment:

1. From the QuickTables sub-navigation, select Edit Assessment.

2. Select the assessment you would like to edit.

3. On the screen that follows, make your changes or create extension. You can also cancel the assessment by clicking on Cancel this Assessment.

4. Click Done to confirm the information.

6.2.2

QuickTables Quiz

Instructors can create a QuickTables quiz for a single student or for the entire class.

To schedule a Quiz:

6.3. REPORTING YOUR STUDENTS’ PROGRESS IN QUICKTABLES

1. From the QuickTables sub-navigation, select New Quiz.

2. Choose the table operation and math fact range, and then click Next.

3. On the following page, click on a math fact to add it to the quiz and then click Next >>. (Please note that you will need to add a minimum of 10 math facts for each quiz.)

4. Complete the Basic Options and Advanced Options for the quiz and click on

Save & Continue.

5. Click Done to confirm the information.

To edit a Quiz:

1. From the QuickTables sub-navigation, select Edit Quiz.

2. Select the quiz you would like to edit.

3. On the screen that follows, make your changes or create extension. You can also delete a quiz by clicking on Delete this Quiz.

4. Click Done to confirm the information.

NOTE. Students that joined the class after a QuickTables quiz was created will not be prompted to take the quiz.

53

6.2.3

QuickTables Worksheets

Instructors can provide additional practice offline by generating QuickTables worksheets for the students.

To access QuickTables worksheets, from the QuickTables sub-navigation, select Worksheets.

View/Create Worksheets for a Single Student

This option allows you to choose a table and automatically create a customized worksheet for a single student, or view all such worksheets created so far.

View/Create Worksheets for all Students

This option allows you to choose a table and automatically create a customized worksheet for each student based on the student’s progress, or view all such worksheets created so far.

View/Create Selected Math Fact Worksheets

This option allows you to choose one or more tables and design your own worksheet by selecting facts from the tables, or view all such worksheets created so far.

## 6.3

## Reporting your Students’ Progress in QuickTables

Reports for QuickTables may be accessed via the QuickTables sub-navigation.

Three types of report are available in QuickTables:

54

Âˆ

Progress

Âˆ

Quiz

Âˆ

Scheduled Assessments

6.3.1

QuickTables Progress Reports

CHAPTER 6. QUICKTABLES

Figure 6.4: QuickTables Reporting

To view QuickTables Progress Reports:

1. From the QuickTables sub-navigation, select Progress.

2. Use the drop-down menu to select either All Tables or a specific table.

The Progress Report view for QuickTables shows, for each student (Fig. 6.4):

Âˆ

The total time spent in QuickTables since completion of the typing tutorial.

Âˆ

The last login date.

Âˆ

The assessment date, which is the date the assessment was completed.

Âˆ

The bar graph, which is a representation of the student’s progress in QuickTables.

The bar graph displays percent mastery of the table contents in blue for the most recent assessment, with an additional segment in green showing what was added since that assessment (blue plus green equals the student’s total current mastery).

A grey bar indicates that the student has not yet been assessed on the table.

6.3. REPORTING YOUR STUDENTS’ PROGRESS IN QUICKTABLES

To print the QuickTables progress report, use the ALEKS Print button to upper right; to download its contents in Excel format, use the Download Excel Spreadsheet link.

To see separate bar graphs for all of your students’ assessments, use the link beneath the report marked Display Past Data. The student data may be ordered by any of the green clickable column headings. To see more details such as the date the student completed the table, click on the percentage under the Progress column.

55

6.3.2

QuickTables Quiz Reports

To view QuickTables Quiz Reports:

1. From the QuickTables sub-navigation, select Quiz.

2. Use the drop-down menu to select a quiz.

The Quiz result view for QuickTables shows, for each student:

Âˆ

The date the quiz was submitted.

Âˆ

The timer setting, meaning how long the student has to answer each question.

Âˆ

The total time spent in the quiz.

Âˆ

The percentage score. (You can click on the link to the right of a student’s score to see the results in greater detail.)

Âˆ

The letter grade.

The student data may be ordered by any of the green clickable column headings. To download the results in Excel format, click the link below the chart.

6.3.3

QuickTables Scheduled Assessment Reports

To view QuickTables Scheduled Assessment Reports:

1. From the QuickTables sub-navigation, select Scheduled Assessments.

2. Use the drop-down menu to select a scheduled assessment title.

The QuickTables Scheduled Assessment report view shows, for each student:

Âˆ

The date of the assessment.

Âˆ

The time spend on the assessment.

Âˆ

The results of the assessment.

56 CHAPTER 6. QUICKTABLES

Clicking on the percentage link to the right of a student’s bar graph will display the results in greater detail. This view will display a table of the assessment results or learning, showing their level on each of the math facts.

Like other reports in QuickTables, the order of student data for scheduled assessment may be ordered by any of the green clickable column headings. The class data may be downloaded to an Excel format by clicking on the link below the chart.

## 6.4

## How Your Students Use QuickTables

When students log in to an ALEKS class where QuickTables is enabled, they see the

QuickTables option in the top bar menu. Clicking on this option will switch them into the QuickTables environment.

6.4.1

QuickTables Keyboard Exercise

The first time students enter QuickTables, they are given a brief training on how to enter numbers quickly. The goal of the initial keyboard exercise is to increase the students’ typing speed and accuracy. The keyboard exercise is parallel to the Tutorial that students experience when using ALEKS for the first time, but focused exclusively on typing and entering numbers smoothly and promptly. Numbers can be “entered” by using the Enter key or the Space Bar on the keyboard.

6.4.2

QuickTables Testing Mode

Following the introductory training, students select an operation and then take a brief test to determine their current knowledge of the math facts in the particular table.

(Where there is more than one table, a test will be taken for each new table.) This is parallel to the Initial Assessment taken in regular ALEKS. This initial assessment test must be finished in one login session. Logging out before it is complete will require restarting the test.

6.4.3

QuickTables Learning Mode

When the student completes the test, the color-keyed Learning Display is presented, showing their current knowledge of the table. The student is then able to choose how they will work toward complete mastery of the table facts (Fig. 6.5). This display has a function similar to that of the pie chart in regular ALEKS.

To choose a math fact to work on, the student clicks on the corresponding cell in the table. If the student simply presses Enter or the Space Bar, a fact will be chosen from those available. There is a brief introduction to the fact, and then a paced drill

6.4. HOW YOUR STUDENTS USE QUICKTABLES

Figure 6.5: QuickTables Learning Display sequence in which review of previously-learned facts is mixed in with reinforcement of the new fact. Sequences are kept short so that the student’s concentration remains high. If there is a mistake, the drill is halted while the student reenters the correct answer, with help from QuickTables; also, if the student takes too long in answering, there is a similar halt while the student catches up with the drill. Once the student shows mastery of the new fact, there is a pause before the next cycle of learning.

Students can view a report of their work in QuickTables by clicking on Options located in the upper right of the screen. Clicking on view your latest QuickTables report link will display their QuickTables assessment results and QuickTables quiz results.

NOTE. The drill provided by QuickTables is paced, in the sense that students need to enter their answers within a specified “Target Time.” QuickTables seeks to develop quick, “automatic” response to questions on math facts. The actual time interval for answering is subject to customization (Sec. 6.1.7).

As the student progresses in mastery of new facts, the colors in the table flow across the report to show the changing area of mastery. This provides the student with direct, tangible evidence of progress, building the student’s motivation. At the same time, the thermometer graphic to the right of the table also indicates the percentage of the table contents that the student has worked through. Gold stars next to the thermometer indicate levels of progress where new games become available to the student.

6.4.4

QuickTables Games

Students can click on the Games option in the top bar to take a break from drill and play any of the games that they have earned (Fig. 6.6), subject to the limits chosen by the instructor (Sec. 6.1.5). The games provided in QuickTables are designed to reinforce the students’ knowledge of the math facts that they have just learned. The activation of games is based on progress made in a single table. If a student works in multiple tables during a single session, the progress may not be enough in any one of them to cause a new game to appear.

57

58 CHAPTER 6. QUICKTABLES

Figure 6.6: QuickTables Games

NOTE. When students have spent the maximum daily amount of time allowed in

QuickTables, they will receive a message, “You have used up all your QuickTables time today. Please come back another day.” The maximum daily amount of time is subject to customization (Sec. 6.1.4).

6.4.5

QuickTables Completion Certificate

Figure 6.7: QuickTables Games

Students who complete a QuickTables table can print a certificate of completion by

6.4. HOW YOUR STUDENTS USE QUICKTABLES logging into their account, entering QuickTables, and pressing the tab of the mastered table. The certificate will appear, and a Print link will be available (Fig. 6.7).

59

60 CHAPTER 6. QUICKTABLES

# Chapter 7

# Instructor Module

Figure 7.1: Account Home Screen

The ALEKS Instructor Module features a streamlined interface, based around a system of organizational levels and dynamic dashboard tiles. The Instructor Module makes class management simple, and allows instructors to spend less time with administrative tasks and more time directing student learning.

61

62

## 7.1

## Navigation

CHAPTER 7. INSTRUCTOR MODULE

There are several ways to navigate the Instructor Module. They include using the search box, main navigation, sub-navigation, or the dashboard. These navigation technique are described below.

7.1.1

Search Box

Figure 7.2: Search Box

The search box can be found at the top of any page in the Instructor Module. It can be used to search all pages in the Instructor Module, with the exceptions of the ALEKS

Community and the Class Forum. To search for a class, student, or assignment, type a search query in the box and hit Enter, or click the search icon next to the box.

7.1.2

Main Navigation

Figure 7.3: Main Navigation

Instructors have access to a two-level hierarchy, class and student. The navigation structure is tab-driven for easy navigation and starts with the CLASS tab on the left.

This tab contains all classes taught by the instructor.

Instructors begin by opening the drop-down menu and selecting a class, or by typing into the open box to bring up matches from the menu.

Once a class is selected, the CLASS tab becomes the active tab (current level in the hierarchy), and instructors have access to class-related menus and the class dashboard.

Instructors can remain at the class level or make a selection in the STUDENT tab to move down to that level. The STUDENT tab contains all the students enrolled in the selected class. As with the CLASS tab, selections can be made by clicking on a student’s name or by typing in the search field to bring up a match. After selecting a student, instructors will have access to student-related menus and that specific student’s dashboard.

7.1. NAVIGATION

Figure 7.4: Sub-Navigation

7.1.3

Sub-Navigation

The sub-Navigation (Fig. 7.4) displays menus related to the selected item in the main navigation (class or student). To return to the tab level, click on the top of the appropriate tab to make it active again.

7.1.4

Dashboard

63

Figure 7.5: Dashboard

The Dashboard (Fig. 7.5) displays snapshots that provide quick overviews of important data applicable to the level currently selected. Each Dashboard consists of dynamic tiles that update when the Dashboard is opened. The Dashboard displays six tiles at a time; additional tiles can be found by clicking the navigational arrow button to the right or left of the Dashboard. The display order of the dashboard tiles can be changed by moving the tiles around on the screen.

To rearrange dashboard tiles on a tablet:

Âˆ

Press and hold your finger on the tablet screen over the title of the dashboard tile.

Âˆ

Drag the tile to the desired location.

64 CHAPTER 7. INSTRUCTOR MODULE

Âˆ

Remove your finger from the screen to drop the tile in place. The rest of the tiles will automatically update their position relative to the moved tile.

To rearrange dashboard tiles on a computer or laptop:

Âˆ

Move the mouse over the title of the dashboard tile.

Âˆ

Click and hold. You will see the tile become slightly larger.

Âˆ

Move the tile to the desired location.

Âˆ

Unclick the mouse to drop the tile in place. The rest of the tiles will automatically update their position relative to the moved tile.

Many of the dashboard tiles are interactive. For example, moving the mouse around the pie chart on the ALEKS Pie Mastery dashboard tile will display the mastery levels for that particular slice. Additionally, many tiles will have links to other areas of the

Instructor Module, including Reports, Class Summary, and the ALEKS Gradebook, to name a few.

You can return to the Dashboard for the level currently selected at any time simply by clicking the Dashboard Button to the left of the sub-navigation.

7.1.5

Home Button

The Home button, located to the left of the main navigation windows, can be used at any time to return to the account home screen.

## 7.2

## Instructor Account

Figure 7.6: Account Drop-Down Menu

7.2. INSTRUCTOR ACCOUNT

Account settings and helpful resources can be found in the Instructor account drop-down menu by clicking on your name in the upper right corner of the Instructor Module home page. Details for each option are given below.

65

7.2.1

Account Settings

Figure 7.7: Account Summary

The Account Summary page contains your account settings, contact information, and email preferences. You can access this screen by selecting Settings from the account drop-down, or by clicking Account Summary under Instructor Administration on the main page

7.2.2

Message Center

The ALEKS Message Center is where messages can be sent from instructor to student and to ALEKS Customer Support. This is also where you will find messages sent to you by your students. The message center can be accessed by clicking on the envelope icon next to the search box, or by selecting Message Center from the instructor account drop-down menu.

The Message Center resembles an email program in most of its features, although the exchange of messages takes place within the ALEKS system. Also, the Message Center is equipped with special symbols and tools appropriate to communication about subject matter used in ALEKS.

66 CHAPTER 7. INSTRUCTOR MODULE

Figure 7.8: Message Center

The Message Center contains a full range of tools for using mathematical symbolism, constructions, and expressions in your messages. The tools are like those used in ALEKS itself in the Answer Editor. Moreover, students sending you messages in the Message

Center can attach a graphic representation of the problem they are currently working on, to facilitate discussion of mathematical questions.

To compose a new message, click on the Compose button. After clicking on the appropriate “To:,” “Cc:,” or “Bcc:” button, use the expandable folder list to select the recipient(s) of the message. As with traditional email programs, messages can be saved as drafts for later editing, they can be marked as urgent, and attachments can be included (up to 2 MB in size).

To check for new messages received while the ALEKS Message Center is open, you can click on the Check Inbox button to refresh the inbox.

7.2.3

Reference Guide

The Reference Guide is a “Quick Start” summary version of this manual. You can view the guide while navigating through your account, or it can be printed out and used as a reference. The guide is also available on the ALEKS website Training Center.

7.2.4

Customer Support

Clicking on Customer Support opens an ALEKS customer support form.

7.2.5

Training & Resources

Training & Resources opens a window to the Training and Resources section on the

ALEKS website. You can schedule a training session with an ALEKS specialist, register

7.2. INSTRUCTOR ACCOUNT for an upcoming ALEKS overview session, and view On-demand videos of popular

ALEKS features and tasks.

67

7.2.6

Log Out

To end your ALEKS session, select Log Out from the account drop-down, or simply close your browser window.

7.2.7

Community

Figure 7.9: ALEKS Community

The ALEKS Community is an online community where instructors can share ideas and discuss best practices with ALEKS colleagues. All ALEKS educators are members of the ALEKS Community and can post new topics or comment on existing discussions.

7.2.8

Feedback

Feedback allows you to send feedback to ALEKS regarding the Instructor Module.

7.2.9

Student Roster (Instructor Level)

From the Instructor Administration, instructors can access the ALEKS Student

Roster for all students that are registered in classes under their account.

Instructors can use the following filters to display the various groups of students in the roster:

Active

All students currently in the class are tagged as active and displayed by default.

Former

Students are tagged with this status when they were in this class and have moved/exited the class into another class, but their records still appear in this class.

68 CHAPTER 7. INSTRUCTOR MODULE

Figure 7.10: Student Roster (Instructor Level)

Hidden

These students are hidden from reports and drop-down menus.

Old Classes (available only at Instructor level)

Students who were in a class that is inactive or archived.

The default roster setting shows information for all Active students.

Instructors can also use the Class Roster (Sec. 7.4.36) to view students information in the selected class. Administrators, however, have access to the institution Student

Roster to view all students registered at the school (Sec. 7.9.11).

## 7.3

## Reports

Figure 7.11: Reporting

7.3. REPORTS

The Report menu displays the ALEKS reports that are available for the current class.

Each report is represented by an icon (Fig. 7.11). Instructors can access the Reports by selecting a class and clicking on the desired report in the Reports menu.

69

7.3.1

Available Reports

ALEKS offers a wide range of dynamic, automated reports that display individual student and class data. Instructors can use these reports to track usage, progress, grading, and attendance. The reports are organized by the following report types:

Âˆ

ALEKS Pie (Sec. 7.3.6)

Âˆ

Progress (Sec. 7.3.12)

Âˆ

Time and Topic (Sec. 7.3.19)

Âˆ

Knowledge Per Slice (Sec. 7.3.22)

Âˆ

Assignments (Sec. 7.3.23)

Âˆ

Standards (Sec. 7.3.26)

Âˆ

QuickTables (Sec. 7.3.28)

Âˆ

Custom Reports (Sec. 7.3.29)

NOTE. The report icons will not appear on the Reports menu when they are not applicable to the class.

To run a class report, select the Class from the dropdown list. To run an individual student report after selecting a Class, select a student. Then select the report from the

Reports menu.

7.3.2

Download Report Data

Reporting data can be printed or downloaded from any of the report styles. Use the printing options in your browser. To download a report, use the link marked Download

Excel Spreadsheet on the upper right side of the report. Or, locate Download, click on the down arrow, and then select XLS.

7.3.3

Send Message to Selected Students

Instructors can send messages to selected students from most class reports and from the Gradebook as follows:

Âˆ

To select specific students, click on the numbered icon next to students’ names.

The icons will change from grey to yellow. Re-clicking on the icon will deselect the student.

70 CHAPTER 7. INSTRUCTOR MODULE

Âˆ

By clicking on All, instructors can select all students in the report.

Âˆ

Clicking on the Send Message to Selected Students link opens a message in the ALEKS Inbox. The students’ names will be automatically pre-filled in the

“Bcc” field of the email message.

7.3.4

Viewing Student History Across Multiple ALEKS classes

This feature allows administrators and instructors to view student history across multiple ALEKS classes. The comprehensive view can be used to identify each student’s progress history and preserve a record of their work after they have been moved to a new ALEKS class. This feature can be found in the following reports:

Âˆ

ALEKS Pie Report for a Single Student (Progress Monitoring) (Sec. 7.3.10)

Âˆ

Progress Report for the Class (Detailed Progress History) (Sec. 7.3.17)

Âˆ

Progress Report for a Single Student (Sec. 7.3.18)

NOTE. Depending on the options selected by the administrator at the school, instructors are able to see report history for only the classes they have taught or maybe report history for all classes taken by the student (Sec. 7.9.1). Administrators can see all report history for all students. This feature will display student history from August 1, 2012 through the present; performance prior to this date may appear as a grey bar.

7.3.5

Interpreting Bar Graphs

Bar graphs appear in several of the ALEKS report styles. Although the meanings of the bar graphs vary by report style, there are some common features.

Bar Graph Colors

The colors used to fill the bar indicate the level of mastery of the class contents at a particular time. The bar is filled from left to right.

Blue

Means that mastery was shown on assessment.

Green

Means that tentative mastery was achieved in Learning Mode.

Yellow

Indicates the part of the course material not mastered.

Blank (white)

Indicates an assessment is in progress.

Grey

Means the student was moved from a different course product; any assessments from the earlier course product will appear greyed out in the new class.

7.3. REPORTS

Aquamarine

Shows progress made between the first and latest assessment.

An asterisk

Appearing by a greyed-out bar graph or any other color indicates, in some reports, that a new assessment is underway.

Values underneath Bar Graphs

Underneath the bar are percentages corresponding to the like-colored portion of the bar graph; for example, a “25%” in blue under the bar graph indicates that the blue portion of the bar is 25% of its total length. You can also view student progress by the number of topics. Simply click on the Percent or Topics link in the Class Mastery column to toggle between the two views.

Multiple Bar Graphs

Where there is more than one bar graph per student, the bar graphs represent different points in the student’s learning history associated with assessments taken by the student. Bar graphs showing a segment of the student’s learning history are stacked, with the earliest on the bottom and the most recent at the top.

More Features

There are several ways of accessing student data using reports:

Âˆ

Âˆ

Âˆ

The list of students in a bar-graph report can be sorted on any of the report columns by clicking on the text in the header for that column. Clicking on the text in the header section of the column will bring up an ascending or descending arrow, used to sort the column.

You can also navigate to other kinds of reports by clicking on hyperlinked names or dates. Clicking on a student’s name takes you to the detailed learning history for that student (Sec. 7.3.18).

Clicking on the date for an assessment takes you to a detailed (pie chart) report for that assessment (Sec. 7.3.8).

NOTE. On some reports, if students have previously been in a different class, it is possible to toggle between viewing their total time in ALEKS and their total time in the current class. This toggle will appear below the report. For students who have only been in one ALEKS class, the displayed time will be the total time in the current class.

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7.3.6

ALEKS Pie

The class report shows the average learning for the class and a detailed view of topic mastery.

This report only includes results for students who have completed at least an Initial

Assessment (Fig. 7.12). The ALEKS Pie Mastery for all students in the class and the number of topics completed are initially displayed in the top right.

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Figure 7.12: ALEKS Pie

Instructors can use this report to determine where students are in the class, specifically, what topics they have mastered, have not mastered, are ready to learn, have lost in assessment, or have attempted but not mastered. (Fig. 7.13). This information can be used to plan classroom instruction, group students based on their knowledge and level of readiness, and communicate directly with these groups.

7.3.7

Display Options for ALEKS Pie Report

Figure 7.13: Student Mastery

7.3. REPORTS

Instructors can use the Show drop-down menu to filter the report by Current Learning, Most Recent Assessment, or Initial Assessment.

Âˆ

In the Current Learning view, the top Ready to Learn Topics for the entire pie are listed to the right of the pie. This shows data is based on the students’ most recent progress in the Learning Mode.

Âˆ

In the Most Recent Assessment view, the top Topics Lost in Recent Assessment for the entire pie are listed. This shows data based on the most recent assessment results.

Âˆ

In the Initial Assessment view, the top Topics Mastered in Initial Assessment for the entire pie are listed. This shows data based on the Initial Assessment.

These views of student results maybe filtered by slice, by selecting a slice from the pie.

Clicking on a pie slice will make that slice “sticky” so that the topics for this slice are displayed, and do not change. The average class mastery for this slice is also displayed.

Hovering over a slice with the mouse, will display the name of that slice.

Topics with the highest numbers of students Ready To Learn are the ones ripest for classroom presentation; trying to teach topics with low numbers in this display is more likely to produce boredom and frustration, because most students either have learned the topics already or are not yet ready to learn them.

Below the pie the results are broken down further by ALEKS table of Contents (slice),

Objectives (when in use), or by any applicable Standards. These sections can be broken down further, and instances of problems may be seen by clicking on individual topic links. A new instance of the problem type will be generated each time you click on the topic link.

The columns in this report have different meaning depending on the current view:

Current Learning:

Âˆ

Mastered - these are topics added to the pie after assessment in learning mode.

Âˆ

Not Mastered - these are topics the students have not shown mastery of, whether they have attempted them or not.

Âˆ

Ready to Learn - this is a subset of the not mastered category, and are the topics the students are ready to learn now.

Âˆ

Attempted, not mastered - this is a subset of the not mastered category, and are the topics the students have attempted but not mastered.

Most Recent Assessment:

Âˆ

Mastered - these are the topics known based on the most recent assessment.

Âˆ

Not Mastered - these are the topics the students do not know, based on the most recent assessment.

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74 CHAPTER 7. INSTRUCTOR MODULE

Âˆ

Ready to Learn - this is a subset of the not mastered category, and are the topics the students are ready to learn now, based on the most recent assessment.

Âˆ

Lost in Recent Assessment - these are topics the students knew at one point, but have lost because the most recent assessment determined that the students did not know the topic anymore.

Initial Assessment:

Âˆ

Mastered - these are the topics known based on the Initial Assessment.

Âˆ

Not Mastered - these are the topics the students do not know, based on the Initial

Assessment.

Âˆ

Ready to Learn - what the students are ready to learn now, based on the Initial

Assessment.

Other features:

Âˆ

The Objectives tab (when present), will contain prerequisite topics if the TREC tool added items to the class (Sec. 7.4.9).

Âˆ

If you click on the percent link for a topic you will see a breakdown of student mastery of that topic.

Âˆ

You can send messages to students directly from this report.

Âˆ

You can view additional topics that a group of students is ready to learn.

Excel downloads. Students who have not taken an Initial Assessment will not be shown in this report, but they will be shown in the Excel spreadsheets. Spreadsheets available to download include the following: Pie View, Pie and Slice View, Topic Summary by Slice, Objective View, and Topic Summary by Objective. Please note that the latter two spreadsheets are only available if objective is set up in the class.

7.3.8

ALEKS Pie Report for a Single Student

This report displays a pie chart for a single student, which by default will be the most recent Assessment or Learning report. Reports for other dates may be chosen by selecting dates from the drop-down menu at the top of the page (Fig. 7.14). A

Learning report shows the student’s most recent progress in the Learning Mode (since the preceding assessment and prior to the following assessment); an Assessment report shows the student’s knowledge as of the given assessment.

The shading on the pie chart indicates the level of the student’s mastery in each area: the darker portion represents what the student has mastered, and the lighter portion represents what the student has yet to learn. Scrolling over each pie slice will display the topics the student is ready to learn now. Click on a topic to generate a unique instance of the problem and an explanation. These sample problems can be printed for use in the student’s portfolio.

7.3. REPORTS

Figure 7.14: ALEKS Pie Report for a Single Student

Objective Pie View. When instructors are viewing a student’s latest learning result, they can toggle their view from the full ALEKS Pie view to the Objective Pie view by clicking on the “Switch to Objective Pie” link. For more details about this feature, see

Sec. 7.3.11.

Show me what the student sees. This link will be available for a student who has completed the current Objective in a class where Objectives with end dates are in use.

By default, the report uses the current textbook chapter or Objective for the class as a frame of reference, that is, the last chapter or Objective whose due date has not passed.

To switch to the frame of reference for a student working ahead of the current Objective, click on Show me what the student sees. In classes where Objective completion by Mastery Level (without end dates) is in use, the instructor and the student will always have the same frame of reference. For more details about Objectives with

End dates and Mastery Levels, see Sec. 7.4.6.

In addition to representing the student’s individual learning path through the class, the information in this report can be used to create and maintain comprehensive Individualized Education Plans (IEPs) and guide effective one-on-one instruction. See the next section for details of how to use the condensed format of this report to view key student data and how to print copies of the report for inclusion in student portfolios.

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Figure 7.15: Supporting Individualized Education Plans

7.3.9

Supporting Individualized Education Plans (IEPs)

The ALEKS Pie Report for a single student provides progress data for an individual student and serves as support for an Individual Education Plan (IEP). The tools included in this report to support IEPs are the following (Fig. 7.15):

Standards

Instructors can quickly determine how a student is progressing relative to the State or Common Core State Standards. Click on the Standards Report link; a new window will open with a detailed breakdown of the student’s progress against the standards. Expand the Details section for any Standard to see which topics the student has mastered and not mastered; of the topics not mastered, topics that the student is ready to learn are highlighted in yellow with the notation (RL).

Ready to Learn next

Expand this section to see topics the student is ready to learn next. Instructors can use the student’s list of topics ready to learn, as well as what the student has attempted but not mastered, to optimize one-on-one instruction.

What the student can do (Present Levels of Performance)

Expand this section to see topics the student has mastered up to a certain date; the time frame can be changed by selecting a different end-point from the drop-down menu at the top of the report.

7.3. REPORTS

Figure 7.16: Progress Monitoring

7.3.10

Progress Monitoring

This section includes three components that provide a detailed overview of the student’s progress in ALEKS.

Time and Topic

This section dynamically tracks the student’s daily learning progress and time spent in the program. Click on the link to open a new window with a detailed Time and Topic Report for this student. Instructors can use this report to determine whether the student is making adequate progress for the time they are spending in ALEKS and exactly which topics they have attempted, but not yet mastered.

To see the student’s Learning Sequence Log for a certain date, click on the date link. Here, the time and result of the student’s work on each topic can be seen.

By clicking on the Result link (Wrong, Correct, or Added to Pie), it is possible to see the specific problem the student worked on, along with their answer and the solution. Instructors can also use this report to ensure that students are meeting their weekly time requirement for ALEKS (Sec. 7.3.21).

Detailed Progress History

This section contains the student’s progress for the current class. The assessment currently being viewed is indicated with an orange dot (Fig. 7.16). To view the student’s progress in other classes, the instructor can click on the View link under

Previous Results (if applicable). Student progress history can also be viewed on a student’s pie report by clicking on any assessment date link from a current or previous class (Sec. 7.3.4).

Learning Log/Recent Student Learning (Learning Reports only)

This section highlights what the student has recently worked on in Learning Mode.

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78 CHAPTER 7. INSTRUCTOR MODULE

Instructors can use this information to review topics the student has recently learned.

7.3.11

Objective Pie View

Figure 7.17: Objective Pie View when End Dates in Use

Figure 7.18: Objective Pie View when Mastery Levels in Use

The pie chart appears differently, depending on whether Objectives are used with or without due dates.

Objectives with End Dates

The Objective Pie encompasses all the topics in the current Objective and may contain Goal topics and Prerequisite topics (Fig. 7.17). Goal topics are all the topics the student must master for the current Objective. Prerequisite topics are those that will help the student learn some or all of the goal topics.

7.3. REPORTS

Objectives with Mastery Levels (without End Dates)

The Objective Pie encompasses all the topics in the current Objective and may contain Goal topics, Prerequisite topics, and Other topics (Fig. 7.18). Goal topics are all the topics the student must master for the current Objective. Prerequisite topics are those that will help the student learn some or all of the goal topics.

The Other topics slice shows topics from earlier Objectives that have not yet been mastered.

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7.3.12

Progress Reports

Figure 7.19: Progress Reports

Using the Progress Reports, instructors can view student progress on assessments and in Learning Mode at various time intervals. These reports allow instructors to track student progress and ensure students can get intervention when they need it the most. Instructors can change the report view by making a selection in the Show drop-down menu (Fig. 7.19). A description of the report selected will be displayed below the drop-down menu.

NOTE. If you navigate away from a Progress report and return at a later time, the report that was last selected will remain in effect.

7.3.13

Learning Progress Since Latest Assessment

This report shows each student’s progress in Learning Mode since the most recent assessment. It includes total hours spent in ALEKS, the last login date, the last assessment start and end date, total time in assessment, course performance displayed in a bar graph, and learning rates (Fig. 7.20). There are several ways this report can be used:

Âˆ

Identify which students are ahead, on pace, or behind in the class.

80 CHAPTER 7. INSTRUCTOR MODULE

Figure 7.20: Learning Progress Since Latest Assessment

Âˆ

Determine learning rates to use in assigning performance grades or for data tracking purposes.

Âˆ

Recognize inconsistencies in student usage and progress to identify students needing individual instruction.

NOTE. If Objectives are used in the class, the percentage of completion for the current objective is also displayed. For additional information on the interpretation of the bar graphs, see Sec. 7.3.5.

7.3.14

Most Recent Assessment

Figure 7.21: Most Recent Assessment

This report can be used to view each student’s mastery based on the most recent assessment taken (Fig. 7.21).

7.3. REPORTS

7.3.15

Best Performance in Learning Mode Over Time

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Figure 7.22: Best Performance in Learning Mode Over Time

This report can be used to view each student’s best class mastery in Learning Mode within any date range up to one year in the past (Fig. 7.22). Set the date range using the Change link, then click Apply.

7.3.16

Progress in Assessment Over Time

Figure 7.23: Progress in Assessment Over Time

This report can be used to view each student’s progress between the first and last assessments within any date range up to one year in the past (Fig. 7.23). Set the date range using the Change link, then click Apply.

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7.3.17

Detailed Progress History

CHAPTER 7. INSTRUCTOR MODULE

Figure 7.24: Detailed Progress History

This report is an expanded version of Learning Progress Since Latest Assessment.

It shows a segment of the student’s learning history, including assessments and Learning

Mode progress for each student within the specified date range. Set the date range using the Change link, then click Apply. Clicking on the All Progress tab will display all students’ current and previous class progress results (if applicable). The current class can be distinguished by the (Current Class) label (Fig. 7.25). Clicking on a student’s name will take the instructor to the individual progress report for the student (Sec. 7.3.18). Clicking on an assessment date link will take the instructor to the individual student’s pie report, displaying the student’s progress at that point in time

(Sec. 7.3.8).

Âˆ

Each bar graph represents an assessment taken by the student.

Âˆ

The bar graphs are stacked, the earliest on the bottom and the most recent at the top.

Âˆ

The date and reason for the assessment are to the left of each bar graph.

7.3.18

Progress Report for a Single Student

This report is obtained by selecting a student and then moving to the the Reports menu. Click on the Progress icon. The Progress Report for a single student in this class displays a list of bar graphs for the single student chosen. There is one row for each assessment that the student has taken, with dates (linked to the Report page for that assessment) (Fig. 7.26). Clicking on the All Results tab will display the student’s

7.3. REPORTS

Figure 7.25: Progress History

Figure 7.26: Progress Report for a Single Student

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84 CHAPTER 7. INSTRUCTOR MODULE current and previous class progress results (if applicable). Clicking on an assessment date link will take the instructor to the individual student’s pie report, displaying the student’s progress at that point in time (Sec. 7.3.8).

Âˆ

The blue portion of each bar graph measures the student’s mastery as of the given assessment.

Âˆ

The green portion of the bar measures progress made in the Learning Mode subsequent to that assessment (but before the next assessment, if there is one).

Âˆ

The percentage values beneath the bars for the blue and green portions represent the assessment mastery, and subsequent progress in Learning Mode respectively.

For example, 57+9% means that the last assessment showed 57% mastery, and that subsequent work in the Learning Mode added another 9% mastery.

Âˆ

Information on each assessment and total hours spent subsequently in the Learning

Mode (up to the time of the next assessment) with average numbers of items gained per hour is also provided.

7.3.19

Time and Topic Report

Using this report, instructors can quickly view the summary graph at the top of the report. Instructors can also see the amount of time spent by each student daily in

ALEKS, as well as the topics the student has attempted and mastered each day. The report can be generated for the entire class or for individual students. (The number of topics attempted does not include topics the student worked on in Review mode.)

7.3.20

Class Time and Topic Report

The following points describe the features of the class Time and Topic Report:

Âˆ

The report can be viewed in intervals ranging from 1 week up through 20 weeks.

The time period can be adjusted by clicking on the Change Date Range link.

Âˆ

The graph shows for each day the total time, average time, total topics, or average topics.

Âˆ

The report displays the number of students enrolled in the class, the number of students logged in to ALEKS, and the amount of time each student has spent working in ALEKS on a daily basis.

Âˆ

The number of topics mastered versus the number attempted is displayed below the daily time log (Fig. 7.27).

Âˆ

If a student has spent some time on an ALEKS assessment during that day, the session will be marked with a blue triangle in the upper right-hand corner.

7.3. REPORTS

Figure 7.27: Class Time and Topic Report

Âˆ

The total amount of time shown for a specific day includes time spent in Learning

Mode, as well as any quizzes, homework, review problems, or assessments the student has done. Work done in QuickTables is not included in the report.

Âˆ

Clicking on an individual student name will take you to the Individual Time and

Topic report for that student (Sec. 7.3.21).

7.3.21

Individual Time and Topic Report

The Individual Time and Topic report gives detailed information on the topics each student has attempted and mastered. Each topic attempted or added to the Pie can be viewed, with an example of that problem type. To see the student’s Learning Sequence

Log on a certain date, click on the date link. The Learning Sequence Log will display the time and result of the attempted topic. By clicking on the Result link (Wrong,

Correct, or Added to Pie), it is possible to see specific problem the student worked on, along with their answer and the solution (Fig. 7.28).

A wider date range can be chosen for the individual report, up to six months at a time.

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Figure 7.28: Individual Time and Topic Learning Log

This report also includes for the student, the last login date, the enrollment date, and hours worked per week.

Students can view their Time and Topic Report by clicking the Report link at the top of their page and selecting the appropriate tab (Sec. 5.2.5).

7.3.22

Knowledge Per Slice

Figure 7.29: Knowledge Per Slice

This report shows each student’s current mastery for each ALEKS pie slice in the

7.3. REPORTS class and can be generated for the entire class or for individual students. It includes overall class mastery followed by a breakdown of progress in each pie slice (Fig. 7.29).

Instructors can use this report to determine whether more emphasis should be placed on certain areas of the class, or to compare overall progress in the class with progress in particular slices.

Instructors can download a PDF summary of data from the class report. Clicking the

Download Summary link just above the report will generate a PDF that displays time spent in ALEKS, average topic mastery, and a comparison between the beginning knowledge state (based on the Initial Assessment) and current knowledge state for each pie slice. The report shows this data for both the class and individual student.

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7.3.23

Assignment Reports

Figure 7.30: All Assignment Reports

With the class selected, go to the Reports menu. Clicking on the Assignments icon will display a list of all assignments included in the currently selected class. The Show drop-down menu can be used to filter the assignments by Homework, Quiz, Test, or

Assessment (Fig. 7.30). Clicking on an assignment name will show the detailed class results for that assignment.

7.3.24

Scheduled Assessment Report

This report shows the results of the most recent assessment that has been scheduled for the class, in the form of a series of bar graphs (Fig. 7.31).

Âˆ

A menu at the top of the display can be used to choose earlier scheduled assessments.

Âˆ

The blue portion of each bar graph shows the student’s knowledge as measured by the assessment.

88 CHAPTER 7. INSTRUCTOR MODULE

Figure 7.31: Scheduled Assessment Report

Âˆ

If the instructor has chosen to grade the assessment, grades for the assessment are shown (Sec. 7.5.9).

NOTE. Progress in Learning Mode is not shown in this view.

7.3.25

Homework, Quiz, and Test Results

Figure 7.32: Quiz Results

This report shows the results on any given quiz and can be generated for the class or for individual students (Fig. 7.32). Clicking on the Date Submitted for any particular quiz will give the individual results of that quiz by question. It is also possible to see individual questions and answers submitted by each student. The option to view quiz results on a per-question basis may be useful for identifying specific class strengths and weaknesses.

7.3.26

Class Standards Report

7.3. REPORTS

Figure 7.33: Standards Report

The Standards report analyzes the current progress of the class in terms of the strands and substrands of the applicable standards (Fig. 7.33). For each strand, a vertical bar graph at the top of the display shows the mastery of that strand as measured by

ALEKS; the numbers beneath each bar indicate the proportion of substrands under that strand which have been satisfied by the students, according to the parameters set beneath the bars.

The options appearing beneath the bars enable the instructor to choose:

Âˆ

What percentage of ALEKS items supporting a substrand must be completed by a student for the student to be considered as satisfying that substrand (50% by default, with options of 60% and 70%);

Âˆ

How the students’ mastery of items will be determined: by initial assessment, by most recent assessment, or by most recent work in the Learning Mode;

Âˆ

Which students will be used to calculate levels of achievement: all students in the class, or students who have spent at least a certain amount of time (10, 20, 30, 40, or 60 hours) using their ALEKS accounts.

Further down the page, the display provides complete detail on standards-based achievement by the class. The teacher can choose to see this detail organized by student (which substrands have been mastered by each student) or by substrand (what the precise

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90 CHAPTER 7. INSTRUCTOR MODULE level of satisfaction is for each substrand, with lists of ALEKS items supporting the substrands and how many of them individual students have mastered).

NOTE. Satisfaction of a substrand is defined (by default) as 50% of the ALEKS topics supporting it. There is a great deal of overlap in the coverage of the substrands, and this setting provides a meaningful way to track the students’ progress.

7.3.27

Individual Standards Report

Figure 7.34: Standards Report for a Single Student

The Standards report for a single student analyzes the student’s current progress in terms of the substrands of the applicable standard (Fig. 7.34). For each substrand, the page indicates how many ALEKS items supporting that substrand have been mastered by the student, with detail available on the specific items mastered and not mastered.

7.3.28

QuickTables Reports

QuickTables reports can be generated for both the class and for individual students.

These reports can also be accessed by clicking directly on the QuickTables menu.

For a full description of the reports available for QuickTables, see Sec. 6.3.

7.3.29

Custom Reports

ALEKS administrators and instructors can create custom reports for their district, school, and classes with the Custom Reports feature. This feature has many options

7.3. REPORTS

Figure 7.35: Custom Report Template

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Figure 7.36: Creating the Custom Report Template

92 CHAPTER 7. INSTRUCTOR MODULE

Figure 7.37: Scheduling a Custom Report to suit advanced reporting needs across classes and instructors. Administrators and instructors can select data from existing ALEKS reports and export the combined data into a single customized Excel report. Additionally, reports can be scheduled ahead of time. Reports can be generated at multiple levels (e.g., district, school, instructor, class, and multi-class) based on the user’s ALEKS account type. There are three main steps to creating a custom report: 1) Create Template, 2) Review and

Save, and 3) Schedule Report. See below for further instruction.

NOTE. Data for the Custom Reports feature is available beginning from August 1,

2012.

When first accessing the feature, administrators and instructors will see the introductory screen (Fig. 7.35). To begin creating the template, click on Create New Custom

Report Template or the + New Report Template on subsequent visits.

STEP 1: Create Template

By first creating a template, administrators and instructors can determine the foundation for their custom report, and then schedule multiple reports to run off the template. Templates can be re-used and duplicated to save time.

7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION)

The following information must be selected when creating the template:

Âˆ

Âˆ

Basic Information. A name must be entered for the template.

Select Data. The data must be selected from the categories listed on the left of the screen (Fig. 7.36).

STEP 2: Review and Save

In this step, users will confirm and save their custom report parameters.

STEP 3: Schedule Report

Administrators and instructors can run multiple iterations of their template, modifying the date range and student/class/instructor data to focus on.

The following information must be selected when scheduling the report (Fig. 7.37):

Âˆ

Âˆ

Âˆ

Report Name. A name must be entered for the report, and choices made for the Excel format, and duration display.

Scheduling Options. You can choose whether to schedule a recurring report, or a one time report (the default).

Student Options. The options in this section are displayed based on the selected level of the report.

After a report has been scheduled, a confirmation message is displayed. A custom report may take up to 30-60 minutes to process depending on its size, and will be sent to the

ALEKS inbox of the person who scheduled it.

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## 7.4

## Class Creation and Configuration (Class Administration)

Classes can easily be created through the class creation wizard. From the Home page, select Instructor Administration then New Class. Alternatively, the instructor can choose a class then select Class Administration followed by New Class. There are various options for creating a class, as described below (Sec. 7.4.1).

The procedure for creating and editing a class includes the setup of Textbook Integration and content customization (if desired). It does not include creating Homework, Quizzes,

Tests, or Scheduled Assessments, but these steps may be completed later.

7.4.1

Creating a Class

Selecting New Class displays the following options to create a class:

Create a New Class

This option allows an entirely new class to be created.

Copy a Class at This Institution

This option allows the instructor to duplicate one of his or her own classes or a class from another instructor at the same institution.

94 CHAPTER 7. INSTRUCTOR MODULE

Figure 7.38: New Class

Copy a Class by Class Code at Any Institution

This option allows an instructor to duplicate a class from another instructor at any institution (if the Class Duplication Setting, for the class to be copied, has been set to Public).

Create a Class Linked to a Master Template

Master Templates must exist at this institution for this option to appear. This option enables a linked class to be created from a Master Template.

NOTE. ALEKS Administrators can duplicate any class.

7.4.2

Class Creation Wizard

Clicking on Create a New Class will display the class creation wizard.

Class Information

Administrators can assign the class to another instructor when setting up the class. In the Class Information section the only optional field is the section name (Fig. 7.39). The course product should not be changed after the class has begun unless absolutely necessary, as doing so will be disruptive to the students’ learning and to the class reports and records. Other values on this page can usually be changed without disruption.

7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION) 95

Figure 7.39: Class Information

The class dates are used to configure the Calendar (Sec. 7.4.41), and should include the entire period of time that the students will be using ALEKS. By default, the class will be automatically archived after the class end date unless this option is deselected (Sec. 7.4.43).

QuickTables

QuickTables may be added to the class during the creation process or at a later time. For full details about QuickTables see Chap. 6.

Course Specific Settings

These are any specific settings that apply to this class, such as providing ALEKS graphing calculator functionality.

Continue to Class Summary or Customize This Class

The class will be created when you click on the Create Class Now button. The instructor can choose to see the Class Summary or Customize This Class.

To edit the Class Information and Course Specific Settings sections at a later time, select Class Summary, follow by Class Information, and then Edit.

7.4.3

Save for Later or Cancel

Figure 7.40: Resume/Discard

Save for Later and Cancel links have been added to the class creation wizard in order to improve the workflow for instructors. These links provide a way to save the data on

96 CHAPTER 7. INSTRUCTOR MODULE each page throughout the wizard, so that class customization may be stopped midway and resumed at a later time. These links appear at the bottom of the wizard pages that follow the initial Class Information page (Fig. 7.45).

Note that using the Save for Later or Save and Exit options, saves the data, but changes are not applied until class customization is complete. Instructors will see a confirmation message on the Class Summary page that allows them to Resume or

Discard these changes (Fig. 7.40).

Selecting Discard will discard all changes made, and Resume will take instructors back to the last page they were working on during class customization.

When instructors log out of ALEKS and log back in, they can easily resume or discard their class customization through the dashboard message or through the Class Summary message.

In the event that another user concurrently makes changes to a class with customizations that are “Saved for Later,” messages will be shown indicating who was editing the content, and will provide an opportunity for these changes to be resumed or discarded.

If changes have been made and saved by another user, the messages will indicate this also.

NOTE. The Save for Later link is not available in Master Template linked classes.

7.4.4

Textbook Integration

If an instructor chooses to customize the class after it has been created, the next page presented will be the Class Content Customization. Here, several choices can be made about the structure of the class, the first being whether to integrate a textbook or not. If a textbook is chosen from the list of available choices using the dropdown menu, ALEKS will automatically place chapter and section references to this textbook on the students’ explanation pages.

One choice in the list of textbooks is the ALEKS Curriculum, which is a division of the topics based on the slices of the ALEKS Pie rather than chapters of a textbook. This choice enables student learning to be structured without the use of a specific textbook.

7.4.5

Set Objectives / Modules

Instructor can choose to configure the class with a textbook or without a textbook integration.

With Textbook Integration. The instructor can use chapter-based Objectives with optional custom Objectives, custom Objectives alone, or no Objectives.

Chapter-Based Objectives with Optional Custom Objectives

If this option is selected, you will be able to choose entire chapters from the textbook as Objectives for your class, and set end dates or mastery levels for these

7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION)

Objectives (Sec. 7.4.6). This is the most efficient way of directing student learning in ALEKS. You can also create Custom Objectives that combine chapter material freely into new units.

Both types of Objectives will include all ALEKS topics that correspond to the chapter.

Custom Objectives

If this option is selected, you will need to create all of the Objectives for your class manually. This option provides the instructor with the greatest control over the class structure.

Textbook Integration - No Objectives or Modules

If this option is selected, students will see references to the textbook, but the textbook will not direct their learning.

NOTE. If you choose any of the options for structuring Objectives in your class, whether by textbook chapters, Custom Objectives, or a combination of the two, topics will not be included in the class unless they are included in one of your Objectives, or are a prerequisite topic. It will be possible, however, to remove topics after they have been included as part of a chapter or Custom Objective (Sec. 7.4.8). If only Custom

Objectives are used, it will not usually be necessary to do any further customization of the content.

No Textbook Integration. If no textbook is integrated within the class, no textbook will be referenced in ALEKS, and you will only have the choice of the following two options:

Objectives / Modules

If this option is selected, you will need to create all of the Objectives for your class manually.

No Objectives or Modules

If this option is selected, student learning will be guided by ALEKS without Objectives.

See the following sections for additional details about the choices outlined above.

97

7.4.6

Objective Completion

When setting up Objectives for your ALEKS class, you can choose either to define end dates or to set a mastery level for each Objective. When using mastery level for

Objective completion (Objectives without end dates), instructors select a final day when all Objectives will be due (usually around the end of the course).

Objectives / Modules with End Dates

When an end date is assigned to an Objective, students should do their best to complete the Objective before this date. After this date, students will be moved

98 CHAPTER 7. INSTRUCTOR MODULE to the next Objective, and the material in the past Objective will not be available unless it is prerequisite for current learning.

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Âˆ

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To choose an end date, click in the box in the end date column. Each chapter/Objective included must have an end date unless Objectives are being used with mastery levels.

The start date for the first chapter/Objective is always the start date of the class. The start date for any other chapter/Objective is one day after the end date of the previous chapter/Objective.

Start dates cannot be set manually, and each chapter included must have an end date. If you want objectives to overlap, you must make the end dates the same. Please keep in mind that doing so will combine objectives with the same end date together in one column in the Gradebook.

Objectives without End Dates (mastery levels for Objectives)

If you choose this option, students will be moved to the next Objective when they meet the mastery level set for the current Objective (the default is 90%).

Students will still be able to access the remaining unmastered topics from all previous Objectives via their pie chart. To access previous Objective topics, click on the black arrows adjacent to the pie slices. A final due date must be set for all Objectives, this is the date when scores for all Objectives will be sent to the gradebook. The default setting for this date is the end date of the class.

7.4.7

Objectives Editor

Initially, all textbook chapters appear in their normal order and all are checked for inclusion in the class (Fig. 7.41).

Âˆ

To remove chapters uncheck the box to the left of the Objective.

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Reorder chapters (or custom objectives) by dragging and dropping the chapter to a different position. Chapters can also be reordered by using the arrows in the

Order column.

Âˆ

Edit an Objective/chapter by clicking on the Edit link below the Objective name.

This will open the Edit Objective page described below (Sec. 7.4.8).

Âˆ

To create an Objective that does not correspond exactly to a textbook chapter or

ALEKS slice, use the button marked +New Custom Objective, located below the list of textbook chapters/Objectives.

NOTE. ALEKS permits you to order chapters freely, but a reasonable and conventional ordering of the materials should be maintained. ALEKS will move topics among chapters in order to maintain prerequisite relations among specific topics, with the result that an unusual ordering of the chapters may not produce the best results for your course structure. Only minor adjustments should be made to the content once students have begun working, to avoid disruption of the students’ work.

7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION) 99

Figure 7.41: Objectives Editor

To return to the Objective Editor at a later time, select Class Summary, locate Class

Content, follow by Objectives Editor, and select Edit.

7.4.8

Edit Objective

Any objective content can be edited and deleted inside the Edit Objective window

(Fig. 7.42), found by clicking on the Edit link below the objective name in the Objective Editor page. Custom Objectives can also be deleted from the Edit Objective window.

Using this tool, chapters (or ALEKS curriculum slices) can be divided into parts or material can be combined across multiple chapters.

The Textbook View allows you to select content based on the structure of the textbook.

The Slice View allows you to select content based on the structure of the ALEKS Pie

Chart.

Topics may be added or removed from Objectives as follows:

A specific textbook is integrated with the class

For chapter-based Objectives there will be a Textbook View of items. When editing chapter based Objectives, it will be possible to add topics only to the chapter in which they belong. For Custom Objectives there will be a Textbook View and a

Slice View of items.

100 CHAPTER 7. INSTRUCTOR MODULE

Figure 7.42: Edit Objectives

The ALEKS curriculum is integrated with the class

For Slice-based Objectives and Custom Objectives there will be a Slice View of items.

No Textbook Integration is in use

Custom Objectives will present items from the Slice View.

Âˆ

Click on the plus sign (+) to the left of each folder to view its contents.

Âˆ

Check the box to the left of a topic name to include that topic in your Objective.

Âˆ

To see a sample problem for any topic, double-click on the topic name.

Âˆ

Check the box to the right of a folder icon to include all topics in that folder.

A running count of the number of included topics will be displayed just above the directory window.

Âˆ

Use the Custom Objective Name field to change the name assigned to the

Objective.

Âˆ

Click the Done button when you have finished customizing the Objective.

The new Objective will appear in the table of Objectives. An end date or mastery level should be entered, depending on the Objective Completion method in use (Sec. 7.4.6).

This procedure can be repeated to create additional Custom Objectives.

7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION)

NOTE. In classes that are configured with Objectives, the Objective Editor will only display topics contained and structured according to those Objectives. If an instructor removes a substantial number of fundamental topics from the class, the Topic Recommendation Tool will calculate whether any prerequisite topics are missing, and allow the instructor to add them back for optimal learning (Sec. 7.4.9).

When Objective customization is complete, click on the Continue button. The next page will be the Objective Settings page, where the Objective Pie View and the

Post Objective Assessment options are set.

101

7.4.9

Topic Recommendation Tool (TREC)

Figure 7.43: Topic Recommendation Tool (TREC)

Figure 7.44: Tagging Feature

102 CHAPTER 7. INSTRUCTOR MODULE

The ALEKS Topic Recommendation Tool (TREC) provides instructors with a way to add prerequisite topics to their class content that may have been omitted during the creation/editing process (Fig. 7.43).

The TREC tool is only displayed when necessary. For example, if an instructor only changes Objective due dates, without changing any actual content, TREC will be skipped.

The TREC Tool displays one or more columns of recommended prerequisite topics, and instructors must select a column before being able to continue. Selecting the Details link will allow you to see how a topic relates to other topics.

Adding Topics to a Class

Clicking on the Options link will display more information about the topic and allow you to add the topic to an existing Objective. Adding a prerequisite topic to an Objective makes the topic a goal topic in that Objective.

Topics may also be added to the course content, that are not added to an Objective. These topics when completed will not count toward Objective grades, if the gradebook has been enabled for the course.

The Class Content section of the Class Summary page will contain a breakdown of goal topics and prerequisite topics if applicable (Sec. 7.4.19). There will also be a link to edit the prerequisites in the TREC tool on the Class Content section. This breakdown of goal and prerequisite topics will also be included on the Course Syllabus (Sec. 7.4.17).

Currently in Class

After the class content has been edited, a Currently in Class column will appear.

These topics are prerequisite topics that are currently in the class content but not part of any particular Objective.

Recommended

These topics are recommended prerequisite topics that support instructional scaffolding and optimal learning. This selection should be used with typical classes that have some students who need additional review.

Minimum

These prerequisite topics are the minimum number of topics required for students to complete goal topics. This selection should only be used for classes where all the students do NOT need review of prerequisite topics.

No Prerequisites

Instructors can choose not to add any topics. This selection will not retain prerequisite topics; all previously added prerequisite topics will be removed.

New Tagging Feature

On subsequent visits to the TREC tool, topics not previously recommended to the instructor will be identified as new (Fig. 7.44).

7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION)

7.4.10

Objective Pie

Enabling the Objective Pie View for students in this class allows students to change their view from the full ALEKS Pie view to the Objective Pie view, focusing their attention on the goal topics needed for the current Objective (Fig. 7.45). Instructors can also choose to make the Objective Pie view the default view for students. Instructors can see the Objective Pie View by using the link on the ALEKS Pie Report for individual students (Sec. 7.3.8).

There are 3 slices in the Objective Pie:

Âˆ

The Goal Topics slice shows the topics the student must master for the current

Objective. These are the topics that affect a student’s grade. If no topics appear in this slice and the student has not completed the Objective, then the student should work on prerequisite material first.

Âˆ

The Prerequisite Topics slice shows the topics that will help students learn the

Goal topics. These topics do not affect a students grade. When a student runs out of Goal topics and still has not completed the Objective, the student should work on topics in the Prerequisite topic slice.

Âˆ

The Previous Objective Topics slice shows topics from earlier Objectives. If you are using Objectives with end dates, then this slice will show only topics from previous Objectives that have extensions. If you are using Objectives without end dates, then this slice will show all topics from previous Objectives that have not yet been mastered.

103

7.4.11

Post Objective Progress Assessment

Figure 7.45: Objective Completion Options and Objective Pie View

When students complete an Objective assignment before the scheduled end date or reach the assigned mastery level (for Objectives without end dates), they can either

104 CHAPTER 7. INSTRUCTOR MODULE be assessed automatically on their mastery of this material or be moved to the next

Objective without an assessment (Fig. 7.45).

Students who do not complete the Objective material before the due date, or who do not meet the mastery level, will not have an assessment triggered by this option.

As with all assessments, once the student has started the assessment, they must complete it, even if the due date for the Objective has passed.

Âˆ

The assessment score will not affect the student’s score for the Objective completion in the Gradebook.

Âˆ

This assessment will reset the assessment clock so that the student will not have two assessments in quick succession.

Âˆ

To avoid the over-assessment of students, ALEKS will prevent all automatic assessments for students with 10 or fewer items remaining in an Objective, or in the

48 hours preceding the end date of the Objective.

Âˆ

If there is no end date for the Objective, automatic assessments will be prevented for students with 10 or fewer items remaining to complete the current Objective, regardless of the mastery levels set.

7.4.12

Content Editor

The Content Editor is mainly for use in classs where Objectives are not in use. If an instructor removes a substantial number of fundamental topics from the class, the

Topic Recommendation Tool will calculate whether any prerequisite topics are missing, and allow the instructor to add them back for optimal learning (Sec. 7.4.9).

To access the Content Editor from the Class Summary, locate the Class Content section, and then click on Edit next to Content Customization. On the page that follows, click Continue to arrive at the Content Editor.

In the Content Editor:

Âˆ

All topics that are checked are currently included in the class.

Âˆ

Unchecked topics are excluded from the class.

Âˆ

Topics may be checked to include them in the class, or unchecked to remove them.

Âˆ

To see a sample problem for any topic, double-click on the topic name.

In classes that are configured with Objectives, the Content Editor will only display topics contained and structured according to those Objectives. The class content can be modified through the Objectives Editor (Sec. 7.4.7) and (Sec. 7.4.8).

Textbook integration tailors the contents of the ALEKS class to the content of the textbook, so that some topics normally included in a given ALEKS course product may be omitted. Even though ALEKS allows relative freedom to determine the content of your class, caution should be used regarding deep cuts to the content, as these may

7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION) cause ALEKS to function incorrectly. Only minor adjustments should be made to the content once students have begun working, to avoid unexpected disruption of the students’ work.

105

7.4.13

Section Level Content

For certain textbooks, the ALEKS items displayed in the Content Editor are organized not only by chapter, but also by section, making it more convenient to customize content on the basis of the textbook structure. Where available, section-level organization is also visible when you are choosing topics to include in Homework, Quizzes, and Test assignments.

7.4.14

Supplementary Textbook Topics

When textbook integration is used, you can also choose to include supplementary class topics available in ALEKS for certain textbooks. These supplementary topics are not specifically covered in the textbook, but can logically be associated with particular chapters. These supplementary topics are excluded from the class by default and must be manually included. Not all ALEKS classes have supplementary topics.

7.4.15

Core Readiness Topics in the Content Editor

For some textbooks integrated with ALEKS, there is an initial chapter, preceding Chapter 1, that may be called a “Readiness Chapter.” (The exact name of the Readiness

Chapter can vary from one book to another.) This chapter contains material that is not strictly part of the class coverage, but is important as foundational material.

If you would like the Readiness/Review chapter to be a distinct unit in the student’s work, it should be assigned a completion date, like other chapters. If no separate completion date is assigned to this chapter, its core material will still be included, but as part of the first chapter.

For classes not using textbook integration, these topics will be listed in the Content

Editor under the section “Core Readiness Topics”; you may remove as many of these topics as you wish. The other (non-core) topics coming from the Readiness Chapter are also shown in the Content Editor under the section “Other Topics,” but these topics will not be included in the class.

NOTE. If Custom Objectives are used, ALEKS will automatically include core material if at least 50% of the topics from the first regular chapter (or from the second pie slice) are included in the class coverage.

106 CHAPTER 7. INSTRUCTOR MODULE

Figure 7.46: Class Summary Part 1

Figure 7.47: Class Summary Part 2

7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION)

7.4.16

Class Summary

A summary of the class is presented at the end of the customization process (Figs. 7.46

and 7.47). This Class Summary can also be found under Class Administration.

Many options to edit the class are provided on the Class Summary page, including the following:

107

Âˆ

Class Information (Sec. 7.4.2)

Âˆ

Syllabus (Sec. 7.4.17)

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Standards (Sec. 7.4.18)

Âˆ

Class Content (Sec. 7.4.19)

Âˆ

Class Options (Sec. 7.4.20)

Âˆ

QuickTables Settings (Sec. 7.4.26)

Âˆ

Implementation Information (Sec. 7.4.27)

Âˆ

Class Duplicate Settings (Sec. 7.4.28)

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Gradebook (Sec. 7.4.29)

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Resources (Sec. 7.4.30)

Âˆ

Incoming and Exiting (Sec. 7.4.31)

Âˆ

Share Class Access (Sec. 7.4.32)

Âˆ

Student Groups (Sec. 7.4.33)

Click on Edit for any area to go back and revise your choices, or use the available links.

7.4.17

Syllabus

On the Class Summary page there is a link to download the ALEKS Class Syllabus.

Two formats are available, an HTML webpage or a PDF document. The ALEKS Class

Syllabus contains a detailed summary of the class configuration. This syllabus can be printed as a convenient reference or as documentation of the class setup.

7.4.18

Standards

On the Class Summary page there is a link to details of any state or Common Core standards that the class is aligned with. For each class, reporting will be available based on the applicable standard (Sec. 7.3.26)

108 CHAPTER 7. INSTRUCTOR MODULE

Figure 7.48: Course Content

7.4.19

Class Content

This section on the Class Summary page contains the class customization options previously chosen such as textbook integration, Objectives, and the Objective settings

(Fig. 7.48). These selections can be revisted by clicking on the Edit links in this section. Clicking on the Edit Prerequisites link (if available) will allow you to change prerequisite choices in the TREC tool (Sec. 7.4.9).

7.4.20

Class Options

Many options to edit the class settings are provided in the Class Options section of the Class Summary page, including the following:

Âˆ

Access Options (Sec. 7.4.21)

Âˆ

Student Activity Notifications (Sec. 7.4.22)

Âˆ

Parent Notification (Sec. 7.4.23)

Âˆ

Class Forum (Sec. 7.4.40)

Âˆ

Assessment Options (Sec. 7.4.24)

Âˆ

Worksheet Options (Sec. 7.4.25)

Click on Edit to revise any of these options.

7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION)

7.4.21

Access Options

From the Class Summary page under Class Options, click on Edit to find the

Access Options. In this section the following access options are available:

Âˆ

Student Enrollment Status can be set to Open or Closed, to allow or prevent students from enrolling this this class.

Âˆ

Class Access can be set to Regular or Denied, to allow or prevent currently enrolled students from accessing this class.

Âˆ

The Archive Status may be set to archived or unarchived (Sec. 7.4.43).

109

7.4.22

Student Activity Notifications

From the Class Summary page under Class Options, click on Edit to find Student

Activity Notifications. In this section the instructor can request to be notified (and the student be notified) when a student completes an Objective. The instructor can also choose to be notified and to present a certificate of achievement to students completing certain percentages of the syllabus.

7.4.23

Parent Notification

From the Class Summary page under Class Options, click on Edit to find Parent

Notification. This feature allows instructors to elect to email periodic automatic progress reports to the student’s parent/guardian, and to allow the parent/guardian to reply directly to these emailed reports.

Instructors can enter up to two email addresses for each student in the student’s Account Summary (Sec. 7.8.1).

7.4.24

Assessment Options

From the Class Summary page under Class Options, click on Edit to find Assessment Options. If the school has IP addresses in place at the school level in

ALEKS, the locations that assessments can be taken from may be restricted to these

IP addresses. This setting may be differentiated for the Initial Assessment and all subsequent assessments.

7.4.25

Worksheet Options

From the Class Summary page under Class Options, click on Edit to find Worksheet Options (Fig. 7.49). Worksheets consist of 16 questions; by default, these are drawn from the student’s recent learning history, but optionally four of the 16 may

110 CHAPTER 7. INSTRUCTOR MODULE

Figure 7.49: Worksheet Options be chosen from material that the student may be working on soon (Ready to Learn

Questions). Instructors can also manually select their own worksheet combination by using the drop-down menus to specify the number of Review Questions or Ready to

Learn Questions, to include in the worksheet. By default, the instructor always receives messages in ALEKS with the answers to worksheets that students have generated independently. This option can be turned off.

Other options are:

Âˆ

Remind the students to print a worksheet at the end of an ALEKS session.

Âˆ

Allow students see the answers to their worksheets.

Âˆ

Always generate a new worksheet (by default, this only occurs after the student has done some work in Learning Mode).

7.4.26

QuickTables Settings

From the Class Summary page there are links in this section that enable instructors to edit and create QuickTables and adjust class settings. For more information, see

Sec. 6.1.3.

7.4.27

Implementation Information

From the Class Summary page there is a link to an Implementation Information page where instructors are encouraged to enter information about their setup and use of ALEKS. This information helps enable effective training and identify best practices

(Fig. 7.50).

7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION) 111

Figure 7.50: Implementation Information

112

7.4.28

Class Duplication Settings

CHAPTER 7. INSTRUCTOR MODULE

Figure 7.51: Class Duplication Settings

From the Class Summary page there is a link to the Class Duplication Settings

(Fig. 7.51). In this section instructors can adjust class settings that allow other instructors to duplicate this class. To duplicate a class, belonging to another instructor, the instructor will need the class code (Sec. 7.4.1).

NOTE. ALEKS Administrators at the institution can always duplicate any class.

7.4.29

Gradebook

From the Class Summary page, instructors may access the Gradebook Setup page.

For full details about the Gradebook, see Sec. 7.6.

7.4.30

Resources

From the Class Summary page there is a link to the Resources feature. This feature can also be accessed from Class Administration and the Class Tools icon.

Resources can be added in ALEKS at the class or individual topic level. With this feature, instructors can share files, links, and notes to aid student learning. Students

7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION) 113

Figure 7.52: Resources can access these resources through the Resources page and/or Explain pages of ALEKS based on the accessibility options selected by the instructor. An example of a resource is an online video that relates to a particular topic in ALEKS.

Instructors can begin by adding resources or by creating folders to organize the resources. Resources and folders can be added at any time and in any order, and folders can be further organized by creating subfolders.

Below are the resource requirements:

Âˆ

Three types of resources can be added: files, links, or text-only notes (250 characters or less).

Âˆ

Valid URLs must begin with http://, https:// or www.

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There is no limitation on the number of resources that can be uploaded per topic.

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The file upload size is limited to 4MB per file, and the total amount of resources that instructors can upload in any class is limited to 100MB. Many file extensions are accepted for upload.

7.4.31

Incoming and Exiting Student Options

These settings determine the rules for assessments, Objective grades, and student data when they switch from one class to another within the same course family or course product. These settings can be customized at the Institution, Master Template, and class level.

Incoming Students from a Class within the Same Course Family or same Course

Product:

114 CHAPTER 7. INSTRUCTOR MODULE

Âˆ

Students Will Pick Up Where They Left Off - Students’ pie progress will be carried over to this class. Optional Settings for these students are to trigger a progress assessment, or carry over Objective grades. Students whose last initial assessment was more than a certain number of days may be given an initial assessment.

Âˆ

Fresh Start - All students will be given an Initial Assessment.

Exiting Students:

Âˆ

(Recommended) Always keep a record of student data in my class, regardless if they exit my class. These students will appear as “Former” students in class rosters.

Âˆ

Keep a record of student data if the student was enrolled for more than a certain number of days. These students will appear as “Former” students in class rosters.

Âˆ

Never keep a record of student data in my class.

NOTE. At the school level, there is a Lock option, to prevent individual instructors from changing these options at the class level. Please also note that the settings above do not apply to students switching classes within the same Master Template.

7.4.32

Share Course Access

From the Class Summary page there is a link to the Share Course Access feature.

This feature can also be accessed from the Class Administration.

Instructors can share access to their classes with TAs (Teaching Assistants) and other instructors by assigning access levels. Only TAs and Instructors who have been set up in ALEKS will be included in the list of instructors to share the class with.

The instructor of the class will have the following options for assigning an access level:

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No Access

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Full

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Gradebook

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Read Only

Âˆ

Assign per Student

A shared class will be listed for shared instructors with a “S” next to the name in class lists.

NOTE. ALEKS Administrators always have full access to all classes within the school.

7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION)

7.4.33

Student Groups

From the Class Summary page there is a link to the Student Groups feature. This feature can also be accessed from the Class Administration.

Instructors can divide their classes into Student Groups for filtering reports and Gradebook scores. Students can be added to more than one Student Group; in other words,

Groups can overlap. The Student Groups Filter can also be accessed at the Class Level

Dashboard.

115

7.4.34

Class List

Figure 7.53: Class List

From the Class Administration, select Class List. This feature can also be accessed from the Instructor Administration. For each instructor a list of their classes will be displayed (Fig. 7.53). ALEKS Administrators will see all ALEKS classes for each instructor at the school.

When one or more classes are selected by checking the box to the left of a class, the following actions will become available (when applicable):

Âˆ

New Class (Sec. 7.4.1)

Âˆ

Class Summary (Sec. 7.4.16)

Âˆ

Dashboard (Sec. 7.1.4)

Âˆ

Duplicate (Sec. 7.4.1)

Âˆ

Archive (Sec. 7.4.43)

Âˆ

Delete (only available if no students are enrolled in the class)

116 CHAPTER 7. INSTRUCTOR MODULE

7.4.35

Cleanup Tool

From the Class Administration, select Cleanup Tool. This feature is used to clear statistics and records at the class level. The tool should be used with extreme caution.

The action is irreversible and may cause great disruption to your class.

Clear Statistics

This will clear time spent logged in this class.

Clear Statistics and Records

This will clear time and data accumulated in this class. Students will be prompted to complete a new Initial Assessment. Please contact Customer Support for this request.

7.4.36

Class Roster

Figure 7.54: Class Roster

From the Class Administration, select Class Roster. A list of the students enrolled in the class will be displayed (Fig. 7.54).

When one or more students are selected by checking the box to the left of a student, the following actions will become available (when applicable):

Dashboard

To display the student’s Dashboard (Sec. 7.1.4).

Account Summary

To display the student’s Account Summary.

Send Msg

To send a message to the selected student(s).

Move

To move the student to a new class.

7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION)

Unenroll

To unenroll the student from the current class.

Hide

To hide the student from the class.

Disable

To disable the student from accessing the current class.

Students are tagged as Active, Former, or Hidden. For information about filtering students in the roster, see Sec. 7.2.9.

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7.4.37

Enroll / Pre-Register Students

From the Class Administration, select Enroll / Pre-Register Students. This feature allows instructors to register a group of students at the same time for a single class. Students do not need to self-register when instructors use this pre-registration feature.

Student information can be entered by typing, or copied and pasted from another source

(such as a spreadsheet).

It is only possible to pre-register students up to the number of available subscriptions.

7.4.38

Authorize Students

From the Class Administration, select Authorize Students. When students selfregister into the class, this feature allows instructors to authorize the students’s registration in their own classes so that the student can begin using ALEKS.

1. Select the student(s) that you would like to authorize.

2. Select an action from the drop-down menu.

3. Click on the Apply button.

4. Confirm that you want to proceed with the chosen action.

7.4.39

Extend Student Accounts

From the Class Administration, select Extend Student Accounts . This feature allows teachers to efficiently renew student accounts with no action required from the student (Fig. 7.55). After the extension, students can continue to use their accounts without interruption.

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Figure 7.55: Extend Student Accounts

7.4.40

Forum

From the Class Administration or from the Class Tools icon, select Forum. The

Forum can be used to facilitate meaningful discussions with students in the class. The

Forum will have to be enabled the first time the instructor accesses it. To disable the

Forum, deselect the option on the Class Options page (Sec. 7.4.20).

7.4.41

Calendar

The Calendar can be accessed either from the Class Administration or from the

Class Tools icon. Instructors can view and schedule assignments through the Calendar by clicking on the Create New Assignment button. Instructors can create a new assignment from the beginning or select Duplicate from Another Class to resuse the same content. The Calendar shows all assignments in the class, one month at a time, with their start and end dates (Fig. 7.56).

Hovering over either a start date or an end date will highlight both the start date and the end date for the assignment.

All assignments appearing in the Calendar may be included in the class grading scheme.

Assignments do not have to be graded, however, to appear in the Calendar. All assignments, graded or not, will appear in the Calendar unless deliberately excluded.

It is also possible to add arbitrary notes to the Calendar by clicking the link, Add note to Calendar (upper right).

7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION) 119

Figure 7.56: Calendar

7.4.42

Student View

The Student View can be accessed either from Class Administration or from the

Class Tools icon. The student view can be used to experience exactly what a student experiences in ALEKS. The Student View for an instructor behaves as it would for student: instructors complete the ALEKS tutorial and Initial Assessment, view their pie chart, enter Learning Mode, and can complete assignments if any have been created and assigned to the class. The Reset the Student View checkbox can be used to reset the Student View to the beginning of the Student Module (i.e. the ALEKS tutorial); this will delete any previous work logged by the instructor in the Student View.

7.4.43

Class Archive

Archiving can be used to simplify the list of classes displayed from the Class tab. Class archiving (and unarchiving) can be done in several ways. Individual classes can be archived from the Class Summary page (Sec. 7.4.16), whereas multiple classes can be archived from the Class List page (Sec. 7.4.34). Classes can be set to automatically archive after their end date (Sec. 7.4.2).

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Figure 7.57: Class Tools

7.4.44

Class Tools

After selecting a class, the Class Tools link will be available in the upper right area of the page (Fig. 7.57). Clicking on this link will display icons for quick access to the following for the current class:

Âˆ

Forum (Sec. 7.4.40)

Âˆ

Calendar (Sec. 7.4.41)

Âˆ

Resources (Sec. 7.4.30)

Âˆ

Student View (Sec. 7.4.42)

## 7.5

## Assignments

Figure 7.58: Assignments

The following kinds of assignments can be created in ALEKS: Homework, Tests, Quizzes, and Scheduled Assessments. All are optional: ALEKS can be used without any of these, but they may enhance the effectiveness of ALEKS in certain instructional contexts.

Homework, Tests, and Quizzes are similar in how they are configured. The process of creating a Homework assignment will be described below in full detail; Scheduled

7.5. ASSIGNMENTS

Assessments will be treated more briefly, focusing on how they differ from Homework,

Quizzes, and Tests.

All assignment types are separate categories in the ALEKS Gradebook. (Sec. 7.4.29).

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7.5.1

Class Assignments

Figure 7.59: Assignment Status

Assignments that have been created for a class can be viewed by clicking on the Assignment List option. The Assignment List will display a table showing all assignments in the class (Fig. 7.59). By default the list is displayed based on the end date, then the name of the assignment. The list can also be sorted based on other columns, and is not fixed. The table includes the following information: Assignment Name, Type of assignment, Start Date, End Date, Status of the assignment, and a Report option to display the results of the assignment per student.

Possible Status values are:

Current

The assignment is currently available.

Upcoming

The assignment will be available at a future date.

Completed

The assignment due date has passed.

Disabled

The assignment has been set up as Disabled in Step 1 on the assignment setup screen.

Clicking on the box next to one or more of the assignments will display a list of Actions available for that assignment. Clicking on more than one assignment at a time will limit the actions available.

122 CHAPTER 7. INSTRUCTOR MODULE

Available Actions are:

Edit

Instructors can modify an existing assignment in the class.

Quick Edit

Instructors can adjust the Assignment Name, Start Date and Time, End Date and

Time, and Status.

Instructors can print up to five instances of this assignment (Homework, Test, or

Quiz).

View Report

Instructors can view a report showing each student’s result on the assignment.

Duplicate

Instructors can make a duplicate copy of an existing assignment in the current class.

More

Selecting the More action will display additional options.

Shift Start and End Dates

Instructors can adjust the selected assignment Start and End Dates forward or backward by a selected number of days.

Set Start and End Dates

Instructors can set the selected assignment start date and time and end date and time.

Delete

Instructors can delete the selected assignment.

7.5.2

New Homework

Instructors can create a new Homework assignment by clicking on the New Homework link (Fig. 7.58). Alternatively, instructors can create a new Homework assignment by using the Duplicate from Another Class option from the Assignment List.

The following steps are needed to complete the assignment creation process (Fig. 7.60):

STEP 1: Name & Date

Basic information about the Homework assignment is entered including a name and the dates when it will be available (Sec. 7.5.3).

STEP 2: Content

In this step content is added to the assignment (Sec. 7.5.4).

7.5. ASSIGNMENTS

Figure 7.60: New Homework

STEP 3: Gradebook Settings

Instructors can specify when students can see their grades, or if multiple attempts are permitted for the assignment (Sec. 7.5.5).

STEP 4: Advanced Options

In this step instructors can control student access to the assignment (Sec. 7.5.6).

STEP 5: Grading Scale

A grading scale can be set for the assignment and parameters are available to optionally allow this score to be visible to students (Sec. 7.5.7).

7.5.3

Name & Date

STEP 1. This step allows the instructor to select a name for the assignment and the start date and time and end date and time for the Homework. The Homework will be available to the students during this period. By default, the start date and time is when you begin creating the Homework; the end date and time is 11:59 PM of the same day.

This section additionally includes other accessibility parameters that can be selected.

Name

A sequential name for the Homework will be generated (e.g., Homework 1, Homework 2, etc.) or the instructor can choose a name.

Status

Normally, the Homework will be left Enabled; if you wish to keep it hidden for

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124 CHAPTER 7. INSTRUCTOR MODULE the time being, change the Status to Disabled using the drop-down menu.

Start Date and End Date

Enter the Start Date and Time and the End Date and Time defining the period when the assignment will be available for students.

Location

If IP addresses are used to restrict access to assignments to within the school, a

Location drop-down menu will be available (Sec. 7.9.1).

Time Limit

By default, there is no time limit on a Homework, but one may be assigned.

Allow students to save this assignment for later and go back to Learning

Mode

By checking this box, instructors can allow students to start an assignment and then save it to complete later. A Save for Later button will be available for students to click when taking the assignment. This will permit students to work in Learning Mode or on other assignments before finishing the assignment. This option is not available for timed assignments.

Publish this Homework to the student calendar

The assignment is normally published to the student calendar, but this can be disabled.

Allow student access to Worked Example while working on this Homework

Instructors have the option to activate the Worked Example for any given homework.

7.5.4

Content

STEP 2. There are several ways to select the topics that the Homework assignment will cover.

Selecting Specific Topics

Using the directory on the left-hand side of the Selector window, select the topics you wish to include, and click on the Add button underneath the Selector. Shift and Ctrl can be used for easy selection of multiple topics. If Textbook Integration is used (Sec. 7.4.4) the directory may be organized by the textbook. If Textbook

Integration is not used then the topics will be organized using ALEKS’s own categories, or the instructor can select to organize the topics by Standard if this option is available. If TREC items were added to the class, there will be an extra folder available that contains prerequisite topics (Sec. 7.4.9).

Select the All Assignments tab to create a Homework that contains the same topics used in another Homework, Quiz, or Test.

7.5. ASSIGNMENTS

Selecting Random Topics

Another way to add questions is to specify the number of questions and the chapter from which they are to be taken, then click Add above the Selector window. The questions will be chosen at random from the chapter or standard you specify. You can also do this for different sections, then Shuffle (randomize) them if desired.

The total number of questions on the Homework cannot be less than 1 or greater than 60.

To remove topics from the Homework, select them on the right-hand side and click the

Remove button. The order of topics can be changed by dragging them in the list, or by selecting them and using the up and down arrows. Or, you can randomize the order by clicking the Shuffle button.

Instructors can modify the points assigned to each topic, ranging from 1 point up to 99 points. This allows some topics to be weighted more heavily on the assignment than others.

To see a sample question for a topic, double-click on the name of the topic. This is not the question that your students will see; the actual questions appearing on the assignment will be generated algorithmically at the time the Homework is taken. Each student will see a different question, but it will be equivalent to the sample question in topic and difficulty.

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7.5.5

Gradebook Settings

Figure 7.61: New Homework (cont.)

STEP 3. You can choose whether the students will see their scores and grades immediately (default), or only after the end date (Fig. 7.61). Next is a box that can be

126 CHAPTER 7. INSTRUCTOR MODULE checked to have ALEKS automatically assign partial credit for multi-part problems on the Homework. You can also specify whether the assignment may be taken once or multiple times. If you click the option “This Homework can be taken multiple times,” a window will open in which you can select a number of attempts, as well as options for which score should appear in the Gradebook (the best score, the final score, or the average of all attempts). Also, in this window you can choose one of the following retake options:

Full Retake

Students must retake all problems (default).

Quick Retake

Students retake only problems answered incorrectly.

7.5.6

Advanced Options

STEP 4. The Prevent automatic assessments option allows you to postpone automatic assessments for up to 7 days prior to the beginning of the assignment (defaults to 5 days). Postponed automatic assessments will occur as soon as the assignment is completed or its end date passes. Objective Completion Assessments will only be delayed up until the start date of the assignment. Extensions are not taken into account to prevent assessments.

The instructor can choose whether to assign the Homework to the entire class or only to some students in the class (including a single student, or no students). If you click the option for “specific student(s),” you will see a list of the names of students in the class with checkboxes.

NOTE. When an assignment is scheduled for some students, rather than the entire class, the assignment will be considered extra credit in the ALEKS gradebook. This ensures that the assignment will not hurt any student’s grade.

Next, you will be given the choice of how your students will access the Homework assignment. There are two options:

Students choose when to start Homework assignment after it is available

Students have the flexibility to choose when to start the Homework assignment so that they can continue to work in other parts of ALEKS without being forced into the assignment.

Included in this option is the ability to password-protect the Homework assignment, providing more control of when and where the Homework assignment can be taken.

Students must begin the Homework assignment as soon as it is available

Students are “forced” into the Homework assignment as soon as they log in, once it becomes available. With this option, students will not be able to work in any

7.5. ASSIGNMENTS other areas of ALEKS until they have completed the Homework assignment. See

Sec. 7.5.10 for examples of how ALEKS will behave when this option is used.

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7.5.7

Grading Scale

Figure 7.62: New Homework (cont.)

STEP 5. By default, no grading scale is used, and the students see only a percentage score. If the grading scale is used, its default is a conventional scale (A, B, C, etc.) using standard percentage breakpoints (Fig. 7.62). The sliders on the scale, however, can be moved and renamed; you can also add or remove sliders to set practically any scale desired. The labels on the sliders, which are used as grade notations, are limited to a few letters or numbers; to set the label, click on the existing label, type in the new label, then press Return.

Use the Display Options under the grading scale to set whether the scale will be used. Even if the scale is not used, the graph will be populated as a histogram once the students begin taking the Homework, giving a useful illustration of the students’ performance on that assignment.

NOTE. You can choose to apply the settings on this screen to all future assignments created in this category, in the class by checking the box underneath the display options.

This will not include the name, content, and start and end dates.

To complete the process, click Save at the bottom of the New Homework page. After clicking the Save button the Homework assignment can be edited if changes are required

(Sec. 7.5.8). If you do not wish to save the Homework Assignment, click the Cancel button.

128 CHAPTER 7. INSTRUCTOR MODULE

7.5.8

Edit Homework

To edit a Homework assignment, click on the Assignment List link. Next, check the box next to the Homework name that you want to edit. Click the Edit action to edit the assignment. Homework can be modified up to the moment when the first student begins to take it; extensions can be created at any time.

STEP 1 through STEP 5 can be edited on this screen. Also, at the bottom of the Edit

Homework screen is a Delete this homework button. Clicking this button will delete the Homework assignment.

Create Extension. When students are enrolled in a class the Create Extension feature is available on the Edit Homework page. Extensions can be created for one or more students. To create the extension, click on the Create Extension button, select the date and time through which the extension will be in effect, choose the student(s) who will be given the extension, and click the Create Extension button.

7.5.9

Scheduled Assessments

Scheduled Assessments have many of the same options as Homework, Quizzes, and

Tests (Fig. 7.63). The fundamental difference is that you do not specify the content of an assessment; the assessment is produced by ALEKS automatically, as with all other assessments (Sec. 4.1).

Here are some noteworthy features of Scheduled Assessments:

Âˆ

When creating a Scheduled Assessment, the instructor has a choice between a

“Progress”-style assessment and a “Comprehensive”-style assessment. Progress

Assessments are slightly shorter and focus on the student’s most recent learning history; Comprehensive Assessments are slightly longer and probe more deeply into the student’s overall knowledge of the class content.

Âˆ

Scheduled Assessments will not allow access to worked examples, integrated eBooks, or multiple attempts.

Âˆ

It is helpful to block automatic assessments for a number of days prior to the Scheduled Assessment, using the Prevent automatic assessment option. A Scheduled

Assessment will “reset the clock” for automatic assessments, so that the “blocked” assessments do not kick in when the assessment is completed.

Assessments and Grading. The score for all ALEKS assessments, including those scheduled as assignments, is always a percentage representing the student’s knowledge of the entire class contents. Assessments do not measure the students’ knowledge exclusively of a particular chapter, unit, or other portion of the class contents. Many instructors prefer not to use Scheduled Assessment results as part of the grading scheme.

If Scheduled Assessments are used for grading, however, the grading scale should be set carefully, to reflect your expectation of what the students will have learned at the

7.5. ASSIGNMENTS 129

Figure 7.63: Add an Assessment time the assessment is taken. For more information on setting a goal percentage for a

Scheduled Assessment, see Sec. 7.6.2.

7.5.10

Scheduled Assignment Behaviors

The following are several examples of how the ALEKS system will behave when a student must begin a scheduled assignment as soon as it becomes available in ALEKS.

Âˆ

If a student is working on any kind of assessment (except Initial Assessment), and a Scheduled Test or Scheduled Quiz becomes available, the system will interrupt the assessment, and the student will be prompted to take the Scheduled Test or

Quiz immediately. After the student completes the Scheduled Test or Quiz, the assessment will continue where the student left off.

Âˆ

If a student is working on any kind of assessment, and a Scheduled Assessment becomes available, the system will stop and discard the current assessment.

130 CHAPTER 7. INSTRUCTOR MODULE

The student will see a message that says the assessment was canceled. The student will be prompted to take the Scheduled Assessment immediately.

Âˆ

If a student is working on a Homework, Quiz, or Test, and another Homework,

Quiz, Test, or Scheduled Assessment becomes available, the system will not interrupt the student’s work. The system will wait until the student has completed the current assignment before prompting the student to take the scheduled assignment.

7.5.11

Worksheets

Figure 7.64: Manage Worksheets

Selecting New Worksheet lets you create worksheets for the entire class or individual students in the class. Alternatively, you can create worksheets for the class by selecting

Worksheets and then selecting in English or in Spanish. On the same page, you can also view worksheets that have been created in the past. You also have the option to create worksheets for an individual student (Sec. 7.8.8). Students also have the ability to print their own worksheets (Sec. 5.6).

For more information about Worksheets, see Sec. 7.4.25.

## 7.6

## Gradebook

The Gradebook records student grades for assignments in the categories selected in the

Gradebook Setup. The Gradebook is disabled by default but can be enabled by the instructor for each class.

To enable the Gradebook, do the following:

1. Select a class.

2. From the Gradebook sub-navigation, click on Gradebook Setup.

3. Click on Enable the Gradebook for This Class.

Alternatively, the Gradebook can be enabled from the Class Summary page. Once on the Class Summary page, locate the Gradebook section, and click on Enable

Gradebook.

The following types of assignment categories can be used by the Gradebook:

7.6. GRADEBOOK

Figure 7.65: Gradebook

Âˆ

Pie Mastery

Âˆ

Time

Âˆ

Topics

Âˆ

Objectives (Chapter Completion)

Âˆ

Scheduled Assessments

Âˆ

Quizzes

Âˆ

Tests

Âˆ

Homework

Âˆ

External Assignments

When configuring the Gradebook for a class, the instructor can choose any selection of these assignments. Also, it is possible to use these kinds of assignments and not include them in the Gradebook configuration; for example, the instructor may choose to set up a series of Homework assignments for the class to prepare students for Quizzes or Tests, but not make the Homework assignments part of the grade.

The Pie Mastery, Time, Topic, and External Assignment (Secs. 7.6.4 and 7.6.6) category assignments require specific components (goals or assignments) to be added via the

Gradebook Setup page, in order to be included in the gradebook.

NOTE. The full benefit of the ALEKS Gradebook will be obtained if the configuration is thought out carefully before the beginning of the class, and then left unchanged while the class is in progress. In particular, if the students have begun to complete assignments, and grades for the assignments appear in the Gradebook, changes to the configuration may be confusing to students when they check their Gradebook data.

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132 CHAPTER 7. INSTRUCTOR MODULE

7.6.1

Gradebook Interface

To see the Gradebook for a class select Gradebook from the sub-navigation menu and then select Class Gradebook (Fig. 7.65). Several options are available for this display.

By default, all gradebook assignment types are displayed, but the Show menu allows the gradebook data to be filtered by assignment type. Each assignment is color-coded by category. If student groups have been setup, gradebook data can be filtered by group.

Send Message to Selected Students

Instructors can send a message to students while viewing the Gradebook without having to navigate to the ALEKS Message Center. The default is to sort students by name, but by sorting on a grade column instructors can send messages to groups of students who have high or low values for that column.

Display Options

Grading information may be displayed in terms of points (based on the points allotted for each category in the Gradebook configuration) or by percentage of the total points possible. A date range can also be set for the display. After making any changes to the display, click the Update Display button.

Full Screen View

Click on the link to view the Gradebook in an expanded screen.

Download to Excel

As with other reporting displays in ALEKS, the contents of the Gradebook can be downloaded into an Excel spreadsheet for use outside of ALEKS. It is recommended that you download the Gradebook into Excel on a regular basis in order to have a backup file on hand. This can be useful in the event of a discrepancy or if edits need to be made to student scores.

Student Information

Students are listed in the left-hand column; there are also options to show their

ALEKS Login Names or student ID numbers instead of names.

Total Grade

The Total Grade column will be displayed when All is chosen from the Show drop-down menu. This column computes the student’s current grade based on assignments completed or for which the due date has passed. This grade approximately predicts the student’s grade for the class based on any work to date. For example, if the class is half completed and a student has 70% in this column, it means that if the student’s work continues at the same level for the remainder of the class, the final grade will be around 70%. If a particular category (e.g.

Quizzes) is chosen rather than All, a total grade (Quiz Grade) will be displayed, based only on that category of assignments. If a date range is specified other than the entire period of the class, the display will use only the assignments whose dates fall within that range.

7.6. GRADEBOOK

Student Grades

In the Gradebook, student grades for specific assignments are ordered chronologically by due date. As the students complete the assignments, values are inserted into the corresponding cells as follows:

Âˆ

Âˆ

Âˆ

Empty cells - where the student has not completed the assignment

Zero - the due date has passed

Grey - the student has completed the assignment but the due date has not passed (the value will not be used in computing the current Total Grade).

For some types of assignments (e.g., Homework with multiple attempts), students have the option of redoing or retaking the assignment, so that values in grey may change before the due date.

Clicking on the [Edit] link in any column for a specific assignment, will open a box containing options to edit and view student results.

133

7.6.2

Gradebook Setup

After selecting a class, select Gradebook followed by Gradebook Setup to access the setup page. Gradebook Setup can also be found by selecting Class Administration followed by Class Summary.

For each of the grading assignment categories, a category weight percentage can be assigned (Fig. 7.66). To be included in the Gradebook, this percentage must be greater than 0. The total percentage weight of all categories combined must equal 100%, or an error message will display when attempting to save the Gradebook Setup page.

Assignment Weights

The assignments within each Gradebook category can also have different weights.

The weight of each individual assignment can be assigned by clicking on the Edit link found below the category name. When entering the weight for each assignment, there is a toggle link to Show or Hide the details of the weight of each assignment. These details include the percent value of each assignment within the category and the percent value as a contribution to the total grade (Fig. 7.67).

Dropping Low Scores

On the assignment weighting page (Fig. 7.67) there is a drop-down menu that allows the instructor to specify how many (if any) of the lowest scores will be dropped from the gradebook. Only regular (non-extra credit and non-zero weight) assignments can be dropped. Suppose that 10 ALEKS Quizzes have been setup for the term and the 2 lowest quiz scores have been set to be dropped. ALEKS will not drop any scores until the 9th Quiz has been completed by the students.

At that time, the lowest of the 9 scores is determined, and it is dropped when

ALEKS computes the overall score for the Quiz category in the Gradebook. When the 10th Quiz has been completed by the students, the 2 lowest of the 10 scores

134 CHAPTER 7. INSTRUCTOR MODULE

Figure 7.66: Gradebook Setup

Figure 7.67: Assignment Weights

7.6. GRADEBOOK are determined, and they are dropped when ALEKS computes the overall score for the Quiz category in the Gradebook. ALEKS recommends that you wait until the end of the class to drop the lowest score(s).

Extra Credit

Also on the assignment weighting page (Fig. 7.67), there is a check box that can be used to designate the assignment as extra credit. Students who do not complete the extra credit assignment will not be penalized. (Students who do complete the assignment can only improve, never hurt, their grades.) Extra credit assignments are differentiated from regular assignments in the gradebook by a + next to the score.

NOTE. In ALEKS, assignments not assigned to the entire class are flagged as

Extra Credit. This ensures that the assignment will not negatively affect the grades of other students.

Assessments

In the Gradebook, assessments refer only to Scheduled Assessments; results from other assessments cannot be used in the Gradebook (Sec. 4.3).

Each Scheduled Assessment in the class can be assigned a goal percentage. The

Goal is the percentage of the class that grades on the assessment are based on.

For example, midway through the class, the goal for an assessment might be set at 50%. Then, a student who assessed as knowing 40% of the entire class would get a score of 80% on the assessment. (Meeting or exceeding the goal percentage gives a score of 100% for the assessment.)

Disable Gradebook

The Gradebook can be disabled by clicking Disable the Gradebook for this

Class on the Gradebook Setup page. Disabling the Gradebook for the class will hide the class Gradebook from you and the students in the class. The Gradebook can be reactivated at any time by clicking on the link Enable the Gradebook for this class link.

Total Grade Display Settings

By default, the option Show total grades to students will be selected in this section of the Gradebook setup. If desired, you can elect to hide the total grades from students by selecting Hide total grades from students.

135

7.6.3

Grading Scale for Total Grade

This feature allows the instructor to assign a grading scale for the total class grade

(Fig. 7.68). By default, no grading scale is used, and the students see only a percentage score. The default grading scale is a conventional scale (A, B, C, etc.), using standard percentage breakpoints. The sliders on the scale, however, can be moved and renamed; you can also add or remove sliders to set practically any scale desired. The labels on the sliders, which are used as grade notations, are limited to a few letters or numbers;

136 CHAPTER 7. INSTRUCTOR MODULE

Figure 7.68: Grading Scale for Total Grade to set the label, click on the existing label, type in the new label, then press your Enter key.

Use the options above the grading scale to set whether the scale will be used or not, and who will see it. Even if the scale is not used, the graph will be populated as a histogram, giving a useful illustration of the distribution of students’ scores.

7.6.4

Pie Mastery, Time, and Topic Categories

Figure 7.69: Pie Mastery Grade Settings

The following categories require specific components to be added via the Gradebook

Setup Page, to be included in the Gradebook.

7.6. GRADEBOOK

Figure 7.70: Time Grade Settings

Figure 7.71: Topic Grade Settings

Pie Mastery

The Pie Mastery category is used to grade students based on their mastery of a percentage of the ALEKS Pie by specified due dates (Fig. 7.69).

Time

The Time category is used to grade students based on the amount of minutes/hours spent in ALEKS for specified date ranges (Fig. 7.70).

Topic

The Topic category is used to grade students based on the number of topics mastered in the ALEKS Pie by specified end dates (Fig. 7.71).

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138 CHAPTER 7. INSTRUCTOR MODULE

7.6.5

Chapter or Objective Completion and the Gradebook

Scores for the Objective category will be derived in one of the following two ways based on the class setup:

Chapter or Objective completion with End Dates

Each chapter or Objective has a due date by which students are expected to complete the material in that unit. If a student completes the chapter or unit before the due date, a grade of 100% is entered into the student’s cell for that assignment.

The score will appear in grey, and it will not be used to compute the Total Grade until the due date has passed. It is not, however, subject to change; even if the student loses material in a subsequent assessment, the 100% score will remain. If the student does not complete the unit by the due date, the percentage of goal topics that the student did complete will appear in the cell as the student’s score.

If multiple Objectives have the same end date, there will only be one column for these Objectives in the gradebook.

Chapter or Objective completion without End Dates

All chapters or Objectives have a single end date by which students are expected to master all Objectives. This feature includes a mastery level completion percentage for the Objectives. The mastery level completion defaults to 90% but can be adjusted. Students must master this percentage of the topics in an Objective before they can advance to the next Objective. The student’s score is entered into the student’s cell for that assignment and will appear in grey until after the end date has passed. When students meet the mastery level they will be moved to the next Objective and will be able to access the remaining unmastered topics from all previous Objectives via their pies. The Total Grade column will not include the chapter or Objective assignment type until after the end date has passed (Sec. 7.4.6).

Students using ALEKS have access to Gradebook information for their own work, similar to the information described in this chapter.

7.6.6

External Assignments

The External Assignment feature is ideal for including student scores on assignments or exams completed outside of ALEKS. These assignments must be added to the Gradebook in the Gradebook Setup page.

External Assignments can be created in Gradebook Setup as follows (Fig. 7.72):

1. Click on Add External Assignment in the External Assignment Category.

2. Enter the name of the assignment.

3. Adjust the assignment date if necessary.

7.6. GRADEBOOK

Figure 7.72: External Assignment Setup

4. Assign a maximum score.

5. Click on the Set Maximum Score button.

6. Enter student scores either by typing or paste from a spreadsheet and click Save.

Instead of recording all non-ALEKS assignments in the catch-all External Assignments category with a single weighting, you can create an unlimited number of External

Assignment categories, each with its own weight. New External Assignment categories can be created in Gradebook Setup as follows:

1. Click on the Add New Row link in the Gradebook External Assignment Category.

2. Enter a name for the category.

3. Assign an overall weight to the category and click Save.

If you wish to delete an external assignment category, either delete any assignments in the category, or set the category weight to zero.

7.6.7

Adjust Student Scores

Instructors can adjust student scores for ALEKS assignments and external assignments directly through the Gradebook.

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140 CHAPTER 7. INSTRUCTOR MODULE

To access:

1. Click on Class Gradebook.

2. Click on Edit for the assignment you want to adjust.

3. Click on Edit Student Scores.

4. Edit the scores as necessary.

5. Click the Save button.

7.6.8

Gradebook Log

From the class Gradebook sub-navigation, select Gradebook Log to access this feature (Fig. 7.65). The Gradebook Log is a record of any adjustments made to student scores in the ALEKS Gradebook. Adjustments may be made to Gradebook scores by you, the primary instructor, teaching assistants, or other instructors who have edit privileges for the class Gradebook. This feature can also be used to monitor adjustments made to the Gradebook by anyone with Shared Course Access (Sec. 7.4.32).

## 7.7

## QuickTables

This menu allows instructors to manage their QuickTables settings, and QuickTablesrelated features including creating tables, assessments, worksheets, quizzes, and viewing reports. For full details about QuickTables, see Chap. 6.

## 7.8

## Student Administration

Student Administration allows instructor to manage each individual student account and progress. Selecting a student account will display the student-related menus and actions in the sub-navigation.

7.8.1

Account Summary

Student Account Summary allows instructors to make corrections or changes to a student’s name, email address, ID,password, and account status. For each student, instructors can add a parent/guardian contact information. In addition, instructors can view Student Groups and Share Class Access information (Sec. 7.4.32). To edit a student’s account preferences, click Edit next to each category.

7.8. STUDENT ADMINISTRATION 141

Figure 7.73: Student Account Summary

Figure 7.74: Move and Unenroll Student

142 CHAPTER 7. INSTRUCTOR MODULE

7.8.2

Move and Unenroll Student

Selecting a student account and clicking on Student Administration displays Move/Unenroll.

This feature allows you to move or unenroll the selected student from the class.

Move Student

To move a student from the current class to another class:

1. Select Move Student To:.

2. Use the drop-down menu to select a new class.

3. Click on Confirm to save your action.

Unenroll Student

To unenroll a student from the current class:

1. Select Unenroll.

2. click on Confirm to save your action.

To move or unenroll multiple students at once, see Sec. 7.4.36.

7.8.3

Student Cleanup Tool

Selecting a student account and clicking on Student Administration displays Cleanup

Tool. This feature allows you to clear statitics for an individual student. For class level

Cleanup Tool, see Sec. 7.4.35.

7.8.4

Student Gradebook

Selecting a student account and clicking on Gradebook displays the following information:

Âˆ

Student Gradebook information

Âˆ

Class Gradebook (Sec. 7.4.29)

7.8.5

Student Reports

Selecting a student account and clicking on Reports displays the following information:

Âˆ

ALEKS Pie (Sec. 7.3.8)

Âˆ

Progress (Sec. 7.3.18)

Âˆ

Time & Topic (Sec. 7.3.21)

Âˆ

Knowledge Per Slice (Sec. 7.3.22)

Âˆ

Assignments (Sec. 7.3.23)

7.8. STUDENT ADMINISTRATION

Âˆ

QuickTables (Sec. 6.3)

All reports listed here are links to other parts of the Instructor Module.

7.8.6

Student Assignments

Selecting a student account and clicking on Assignments displays the following options:

Âˆ

Edit Extensions (Sec. 7.8.7)

Âˆ

Worksheet (Sec. 7.8.8)

Âˆ

Class Assignments (Sec. 7.5.1)

Âˆ

Request Assessment (Sec. 7.8.9)

Âˆ

Cancel Assessment (Sec. 7.8.10)

Âˆ

Assignment Reports (Homework, Quiz, Test, and Scheduled Assessment) (Sec. 7.3.23)

Please see each section referenced for more details.

7.8.7

Edit Extensions

143

Figure 7.75: Edit Extensions

Selecting a student account and clicking on Assignments displays Edit Extensions.

Instructors can give individual students extensions for class Objectives and Assignments, which includes Scheduled Assessments, Homeworks, Tests, and Quizzes.

144 CHAPTER 7. INSTRUCTOR MODULE

7.8.8

Student Worksheets

Selecting a student account and clicking on Assignments displays Worksheet. You can create a new worksheet or view previously created worksheets for the student. For a description of the Worksheets feature, see Sec. 7.4.25.

7.8.9

Request Assessment

Figure 7.76: Request Assessment

Selecting a student account and clicking on Assignments displays Request Assessment.

This feature allows you to request a ”Progress”-style assessment or a

”Comprehensive”-style assessment for a single student, effective immediately. Via the drop-down Action menu, you can choose between Request new assessment (taken in Institution only) or Request new assessment (taken anywhere). If your school has IP addresses in place at the school level, you can restrict the assessment to be taken on campus by selecting the option marked ”Institution Only.” The comment box allows the instructor to type a message that the student will see when they log in to take the assessment.

7.8.10

Cancel Current Assessment

Selecting a student account and clicking on Assignments displays Cancel Current

Assessment. This feature allows you to cancel any current or pending assessment for the student, until midnight of that day. An automatic reassessment that is cancelled in this way will become active again on the following day.

7.9. ADMINISTRATOR FEATURES

Figure 7.77: Cancel Current Assessment

7.8.11

Student QuickTables

Selecting a student account and clicking on QuickTables displays the following options:

Âˆ

Worksheets (Sec. 7.8.12)

Âˆ

Progress Report(Sec. 6.3.1)

Âˆ

Quiz Report (Sec. 6.3.2)

Please see each section referenced for more details.

7.8.12

Student QuickTables Worksheet

Selecting a student, clicking on QuickTables, and then Worksheet displays the following options:

Âˆ

Select a table from the list (if tables have been created) to create a QuickTables

Worksheet for that student.

Âˆ

View a previously created Worksheet for that student.

## 7.9

## Administrator Features

Figure 7.78: Three levels of hierarchy

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146 CHAPTER 7. INSTRUCTOR MODULE

ALEKS administrators have access to three levels of hierarchy: instructor, class, and student. This section will focus on the Instructor level. The class and student levels are described in detail in (Sec. 7.1.2). Administrators begin with the INSTRUCTOR tab on the far left and then can make selections in the succeeding tabs until the desired level is reached. To move between levels, they simply need to click on the tab they want to make active again. Features from this menu allow administrators to perform actions such as updating their institution’s settings, creating new instructor accounts, and managing all classes and instructors at the institution, creating Master Templates, managing subscriptions, and other features.

7.9.1

Institution Account Summary

Selecting Institution Administration and clicking Account Summary displays the following options:

Account Information

Administrators can modify the state and time zone settings for the institution under the Account Information section. Usually, these are set correctly when the institution account is first created and do not need to be changed. The institution and billing address can be modified in this section.

Important Contacts

Administrators can add important contacts such as the school’s Billing Contact,

Technical Contact, Implementation Specialist, and Course Product/Feature Upgrade Contact under this section.

Settings

The Institution Network Information section allows you to enter an IP range or

Internet Protocol for the computers in your institution. They willl be used if you wish to restrict student access to assessments, Homeworks, Quizzes or Tests to the campus network (Sec. 7.5.3). Single IP School Assignment will require students to complete all assessments from the same IP address where they began them.

This reduces the flexibility of access that students usually have to their ALEKS accounts, but in some cases it may be desired. Administrators can select to Show student passwords on the Class Roster and Show Cartoon under Institution

Settings.

Incoming & Exiting

The Incoming and Exiting Student Options allow you to select whether incoming students from a class within the same course family or same course product should pick up where they left off or start fresh with a new Initial Assessment(See

Sec. 7.4.31 for more information about this option).

Administrators and Instructors

Administrators can view a list of administrators and instructors under this section.

All accounts are regular instructor account types unless they include one of these

7.9. ADMINISTRATOR FEATURES labels: (A) for Administrator or (TA) for Teaching Assistant. There is a link to the Admin/Instructor Roster under this section.

147

7.9.2

Schedule Domain Upgrade

ALEKS Corporation periodically releases new versions of its class products. When this occurs, there is an announcement to users explaining the window of time during which users may upgrade, as well as the default date on which the upgrade will occur if no action is taken. If the school wishes to schedule the upgrade earlier than the default date, the administrator can use this tool to select the desired date.

NOTE. If an update is available, the changes in the upgrade will be described in detail on this page. Schedule Domain Upgrade can be found under Institution

Administration on the main page.

7.9.3

Instructor Roster

Figure 7.79: Instructor Roster

Administrators can view a roster for all instructors at the school by selecting Instructor

Roster from Institution Administration. The Instructor Roster displays detailed instructor information. The roster can be used to manage other instructor’s account settings, including permission levels, viewing dashboards, sending messages, and archiving or deleting accounts. Multiple instructor accounts can be updated at the same time through the Instructor Roster, and individual instructor accounts can be edited through each instructor’s Account Settings from their Account Summary. There are features in the Instructor Module that can be used to manage ALEKS subscriptions, register

148 CHAPTER 7. INSTRUCTOR MODULE students, and manage student accounts. Some features consume purchased ALEKS subscriptions; therefore, administrators can limit instructors’ access to these features by enabling or disabling permissions per Instructor. Edit Multiple Permissions can be done from the Instructor Roster under Institution Administration. To edit a specific instructors’s permissions, select the instructors’s account summary. NOTE. Archiving can be used to simplify the Instructor Roster so that only current instructors appear in the roster. Archived accounts can be accessed and un-archived at any time; archiving does not impact instructor’s ability to access their accounts.

7.9.4

Create New Instructor Account

Frequently, instructor accounts are created by ALEKS Corporation for the school. Administrators, however, are able to create them independently by selecting Institution

Administration and clicking New Instructor. Note that new instructors may be set up with administrator privileges.

7.9.5

Subscription Management System

Administrators can monitor the number of available subscriptions for student registration. When subscriptions are purchased at the district level, the Administrator can move subscriptions between institutions, put subscriptions on hold, or move subscriptions from one institution to another for their districts and schools through the

Subscription Management System (SMS). District administrators will see subscriptions for the district and for schools within the district.

Using the SMS system, school administrators can put subscriptions on hold at their school. School administrators will see only the subscriptions for their school. To access the SMS, the school administrator clicks Subscriptions, and then clicks on Subscription Management.

There are three tabs in the SMS:

Subscription Management

The subscription information will be displayed for the district or school. This includes the subscriptions type or length and whether the subscriptions are “Usable

Now” or “On hold”.

Orders

The Orders tab displays all the details about the ALEKS subscriptions purchased at the school or district. The information includes the purchase date, invoice number, subscription type, quota purchased, number used, and number remaining.

At the bottom of the screen is a link that administrators can use to send an Excel document to their ALEKS Message Center inbox containing a list of subscriptions used within a specified date range. There is also an option to exclude expired subscriptions from the report.

7.9. ADMINISTRATOR FEATURES

Activity Log

The Activity Log tab displays the history of subscription movements and holds performed via the Subscription Management tab. Each entry contains detailed information about the action.

149

7.9.6

Batch Registration

By selecting Subscriptions and clicking Batch Registration, administrators can quickly create multiple classes and student accounts and register up to 10,000 students at once (See Sec. 3.10). This feature will help administrators to significantly reduce the amount of time they spend registering large numbers of students across many classes.

ALEKS will generate new classes and accounts for new teachers and students and register the students in the appropriate classes. A confirmation email will be sent to the administrator and teachers that includes the login names and passwords for the registered students.

NOTE. Only authorized administrators should use Batch Registration. Batch Registration is designed to register large numbers of students and will consume corresponding quantities of ALEKS subscriptions.

7.9.7

Authorize Student Account

When students self-register into classes, this feature allows instructors to authorize the students’ registrations in their own classes so that they can begin using ALEKS

(See Sec. 3.8). By selecting Subscriptions and clicking on Authorize Student, administrators can authorize all students at their institution.

7.9.8

Pre-Registration with alternative subscription length

The Enroll/Pre-Register feature allows instructors to register a group of students at the same time for a single class (Sec. 3.9). Students do not need to self-register when instructors use the pre-registration feature. Instructors that have been given permission to the Alternate Subscription Length have additional options to register students using the subscription length assigned to the class or to assign a different subscription length.

7.9.9

Extend Student Accounts

Selecting Subscriptions and clicking Extend Student Accounts, instructors can efficiently renew student accounts with no action required from students. After the extension, students can continue to use their accounts without interruption.

150 CHAPTER 7. INSTRUCTOR MODULE

7.9.10

Administrative Reports

There are a variety of reports available to administrators. These reports help monitor the institution’s progress in terms of student and class performance across applicable standards. To access the reports, click on Reports and then select a report.

Custom Reports

Is a powerful tool that can help administrators gather important metrics to show how institutions, instructors, and classes are performing in comparison with each other. To access the report, make a selection in each tab until the level of the desired report is reached, click Reports, and then click Custom Reports. See

Sec. 7.3.29 for more details about this feature.

Enrollment/Activity

Shows the total number of students ever enrolled in ALEKS at the institution, and the numbers of students active in the system during the last week, the last month, and the last three months (optionally 12 months). For each of these intervals, it also shows the average number of hours spent weekly by the students who were active.

Class Activity

Administrators can view the number of students who worked in ALEKS or Quick-

Tables each month and the average hours worked each week.

State Standard Report

Details student performance against applicable standards, for all students at the school who have taken an Initial Assessment between specified dates. Additional selection criteria are Mastery Criterion, the percentage used by ALEKS to determine that a standard has been mastered, and the “Hours cut off,” the amount of time used to compare two groups of students. For example, if the “Hours cut off” is set to 30 hours, the performance of students who have used ALEKS for less than 30 hours will be compared with that of students who have used ALEKS for at least 30 hours.

Average Progress Report

Is a more detailed view of campus activity. For each instructor and course, it shows the total number of students ever enrolled, then, for each of the last six full months, the number of students active and the average hours per week spent by active students. (Note that the current month does not appear in this report.)

Server Stats: Page Hits

Presents a graph of page hits over time by users of ALEKS at the school. The

“Data Range” menu can be used to set the time period that is graphed. Beneath the graph may appear summary statistics, depending on the time span chosen.

Server Stats: User Hour

Is similar to the “Server Stats: Page Hits” report, but graphs the number of userhours over time.

7.10. MASTER TEMPLATES

7.9.11

Student Roster (Institution Level)

151

Figure 7.80: Student Roster (Institution Level)

Administrators can view a roster for all students at the school by selecting Student

Roster from the Institution Administration. This default roster setting shows all active classes that students are currently enrolled in. If students have more than one

ALEKS class, their classes are grouped under the Class column. Select the “Plus” icon to see more rows.

Administrators can use the following filters to display various groups of students in the roster:

Enrolled

Displays students who are currently enrolled.

Unenrolled

Displays students who are currently unenrolled.

Valid Subscription

Displays students with a valid ALEKS subscription.

Expired

Displays students with an expired ALEKS subscription.

For information about student roster at the Instructor level and Class Roster, see

Secs. 7.2.9 and 7.4.36.

## 7.10

## Master Templates

The Master Template provides an efficient way to create and control class instances based on a master class. Instructors who have administrator privileges can create a

152 CHAPTER 7. INSTRUCTOR MODULE

Figure 7.81: Master Template Sub-Navigation

Master Template, add assignments, and create any number of linked classes based on the Master Template. Instructors teaching the linked classes can edit their individual class settings and assignments and add their own assignments (unless “Lockout” is used; see Sec. 7.10.5). Changes made subsequently to the Master Template will propagate to the linked classes, overriding previous settings as well as any changes made by individual instructors.

7.10.1

Master Templates List

The Master Templates List displays all Master Templates at the institution. When one or more Master Templates are selected, the following actions may become available:

Âˆ

New Master Template (Sec. 7.10.2)

Âˆ

Master Template (Class Summary) (Sec. 7.10.4)

Âˆ

Duplicate (Sec. 7.10.10)

Âˆ

Archive (Sec. 7.10.11)

Âˆ

Delete (Sec. 7.10.12)

Âˆ

Reports (Sec. 7.10.13)

7.10.2

Getting Started

Selecting New Master Template displays the following options (Fig. 7.82):

Create a New Master Template

This option allows you to customize your own class settings and assignments. Select this option to go through the Master Template creation wizard (Sec. 7.10.3).

Create a Master Template from an Existing Class

This timesaving option allows you to copy all class settings and assignments from an existing class into the new Master Template (Sec. 7.10.9).

Duplicate a Master Template

This timesaving option allows you to copy all class settings and assignments from an existing Master Template into a new one (Sec. 7.10.10).

7.10. MASTER TEMPLATES

Figure 7.82: New Master Template

After the Master Template is created, administrators can view it under the the Master

Templates List.

7.10.3

Master Template Basic Settings

Clicking on Create a New Master Template displays the following basic settings:

Master Template Basic Information

Âˆ

Âˆ

Âˆ

Âˆ

Âˆ

Select the ALEKS Course Product for the template. The ALEKS Course

Product should not be changed after the class has begun, as doing so will be disruptive to the students’ learning and to the class reports and records.

Select a Grade.

The Master Template is required to have a name; this name can be the name appearing in your institution’s class catalogue or anything else you wish. The

Master Template name will be a part of the linked classes’ names.

Class Dates are used to configure the Class Calendar, and should include the entire period of time that the students will be using ALEKS. All linked classes created with this Master Template will have the same Start and End dates.

The option to automatically archive the Master Template is also available in this step.

Choose a Subscription Length.

QuickTables

QuickTables may be added to the template during this step or at a later time. For complete details about QuickTables, see Chap. 6.

Class Specific Settings

These are specific settings that apply to this class template, such as providing

ALEKS graphing calculator functionality.

To edit the Master Template Basic Information and Course Specific Settings sections at a later time, select Master Template List, select the desire Master Template, and then

153

154 CHAPTER 7. INSTRUCTOR MODULE select Class Summary, followed by Edit next to the Master Template Information section.

Adminstrators will click Create Master Template Now to generate the template.

On the page that follows, Administrators have the following choices:

Âˆ

Continue to Master Template Summary (Sec. 7.10.4) to view setup details; or select

Âˆ

Customize This Master Template to set Objectives, edit content, or integrate a textbook. For complete details, see Secs. 7.4.4 and 7.4.5.

7.10.4

Master Template (Class Summary)

The Master Template Summary displays all settings and options for the template. Administrators can view and edit any section by selecting Edit.

The available options are:

Âˆ

Master Template Information (Sec. 7.10.3)

Âˆ

Syllabus (Sec. 7.4.17)

Âˆ

Standards (Sec. 7.4.18)

Âˆ

Class Content (Sec. 7.4.19)

Âˆ

Class Options (Sec. 7.4.20)

Âˆ

QuickTables Settings (Sec. 7.4.26 and Chap. 6)

Âˆ

Implementation Information (Sec. 7.4.27)

Âˆ

Resources (Sec. 7.4.30)

Âˆ

Lockout Options (Sec. 7.10.5)

Âˆ

Gradebook (Sec. 7.4.29)

Âˆ

Assignments (Sec. 7.10.6)

Âˆ

Linked Classes (Secs. 7.10.7 and 7.10.8)

Âˆ

Incoming and Exiting (Sec. 7.4.31)

7.10.5

Lockout Options

This feature allows administrators to prevent instructors from editing the class content or assignments in classes linked to the Master Template.

Class Content

If this option is selected, instructors of linked classes cannot edit the class content for their linked classes. Additionally, if administrators use textbook integration or Objectives with the Master Template, instructors of linked classes can edit the due dates for each objective, but not edit the content within an objective.

7.10. MASTER TEMPLATES

Assignments

If this option is selected, instructors of linked classes cannot edit or delete their assignments linked to the Master Template. They can adjust the dates for these assignments and also create additional assignments for the linked classes.

Incoming and Exiting Student Options

If this option is selected, instructors of linked classes cannot edit Incoming and

Exiting Student Options.

155

7.10.6

Create Assignments in Master Template

Figure 7.83: Create Assignments in Master Template

To create assignments in a Master Template:

1. In the Master Templates List, click on the name of the template to view the

Master Template Summary. Alternatively, you can check the box next to the template and then click Class Summary.

2. Locate the Assignments section, and click Edit.

At the Create Assignments Introduction page, you will see two options for creating an assignment (Fig. 7.83):

Create a new assignment

This option takes you through the ALEKS assignment creation process (Sec. 7.5.2).

Duplicate an existing assignment

This option allows you to duplicate an existing assignment (Sec. 7.5.1).

Select the assignment type that you wish to create or duplicate: Homework, Quiz, Test, or ALEKS Assessment.

156 CHAPTER 7. INSTRUCTOR MODULE

After creating assignments, you will see an Assignment list with the assignments created in the Master Template. You will also have options to modify or add additional assignments on this page. For more complete details about the Assignments List, see

Sec. 7.5.1.

NOTE. If administrators want to create External assignments in the Master Template, they can do this from the Gradebook Setup page. Only the assignment name and date can be set at the Master Template level; the students’ grades and maximum point values are set at the linked class level.

7.10.7

Create Linked Classes

Figure 7.84: Create Linked Classes

After you have defined the Master Template settings, content, and created assignments, you can create linked classes and assign instructors to these classes. A linked class contains the same content and settings as the Master Template. Both the administrator and the instructor assigned to the class will receive a message in their ALEKS Message

Center containing important information about the linked classes.

To add linked classes:

1. In the Master Templates List, click on the name of the template to view the

Master Template Summary. Alternatively, you can check the box next to the template and then click Class Summary.

2. Locate the Linked Classes section and click Edit.

On the Create Linked Classes page, enter the name of the Class CRN/Section and assign an instructor to the individual linked class. (The name of the linked class will

7.10. MASTER TEMPLATES consist of the name of the template plus the name of the CRN/Section.) There are three options for the “Instructor” field:

Existing ALEKS Instructor

Select this option and then use the drop-down menu to select the name of the

Instructor teaching the linked class.

Instructor to be announced (TBA)

Select this option if the name of the instructor is unknown. The linked class can be assigned to an instructor at a later time (Sec. 7.10.8).

Create a new Instructor

Select this option if the instructor does not have an existing ALEKS account.

Enter the title, first and last names, and e-mail address of the instructor teaching the linked class. ALEKS will send an email message containing login information to the instructor. If an email address is not provided, the administrator will need to edit the instructor account, change the password, and send it to the instructor at a later time (Sec. 7.2.1).

A maximum of 15 linked classes can be created at a time. To add more linked classes, repeat the steps.

Once saved, you will receive a confirmation and arrive at the Linked Class List page with the linked classes that have been created. You can create another linked class by selecting New Linked Class, edit the linked classes by clicking on the CRN/Section name of each class, or complete the Master Template set-up process by clicking I am done creating linked classes.

NOTE. There is no limit on the number of linked classes you can associate with a

Master Template. To add more than 15 linked classes, you must return to the Master

Template Summary page, locate the Linked Classes section, and select Edit. On the

Linked Class List page, select New Linked Class.

157

7.10.8

Classes to be Assigned

The Classes to be Assigned page contains linked classes that were set to “Instructor to be announced (TBA)” (Fig. 7.85).

To assign a linked class to an instructor:

1. From the Master Templates sub-navigation, select Classes to be Assigned.

2. Check the box next to the name of the linked class that needs an instructor.

3. Click Move.

4. Select the instructor who is going to teach the class.

5. Click Apply.

6. Click Confirm.

158 CHAPTER 7. INSTRUCTOR MODULE

Figure 7.85: Classes to be Assigned

Once a linked class has been assigned, the instructor assigned to the class will receive a message about the new class information in their ALEKS Message Center. The

Master Template name will be part of the linked Class Name; instructors can view this information or edit the information by clicking on Class Summary.

7.10.9

Create a Master Template from an Existing Class

Figure 7.86: Create a Master Template from an Existing Class

After selecting Create a Master Template from an Existing Class, use the dropdown menu to select an instructor and a class. Then, click on Continue (Fig. 7.86).

On the page that follows, fill in the new Master Template information, including Name,

Start Date/End Date, and Subscription Length. At this time, you also have the option to select the settings you wish to copy into the new Master Template. Click Save to create the template.

If there are assignments in the previous template, you will arrive at the Edit Due Dates page to adjust the start and end dates to correspond to your new Master Template or select Continue to Master Template Summary.

7.10.10

Duplicate a Master Template

After selecting Duplicate a Master Template, use the drop-down menu to select a

Master Template, and click Continue.

7.10. MASTER TEMPLATES

Figure 7.87: Duplicate a Master Template

On the page that follows, fill in the new Master Template information, including Name,

Start Date/End Date, and Subscription Length. At this time, you also have the option to select the settings you wish to copy into the new Master Template. Click Save to create the template.

If there are assignments in the previous template, you will arrive at the Edit Due Dates page to adjust the start and end dates to correspond to your new Master Template or select Continue to Master Template Summary.

Duplicating a Master Template does not copy the linked sections. Administrators will need to complete this part of the process from the Master Template Summary page.

7.10.11

Archive Master Templates

The Archive feature allows administrator to simplify the list of Master Templates without removing any template from the system.

To archive a Master Template:

1. From the Master Templates sub-navigation, select Master Templates List.

2. Check the box(es) next to the Master Template(s) you wish to archive.

3. Select Archive.

4. Click Confirm to save the action.

This will hide the archived Master Template(s) from the list.

Please note that archiving the Master Template does not archive its linked classes.

Individual instructors will need to archive their own linked classes from the Class

Summary page (Sec. 7.4.16) or the Class List page (Sec. 7.4.34).

7.10.12

Delete Master Template

Administrators can delete a Master Template if no linked classes are set up.

To delete a Master Template:

1. From the Master Templates sub-navigation, select Master Templates List.

2. Check the box next to a Master Template you wish to remove.

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160 CHAPTER 7. INSTRUCTOR MODULE

3. Select Delete.

4. Click Confirm to proceed with the deletion.

This will remove the selected template from the list.

7.10.13

Master Template Reports

Administrators can run reports quickly and easily at the Master Template level using the Master Template Reports feature. This feature allows administrators to generate a single report for all classes linked to a Master Template.

For each Master Template in use, Administrators can select from a variety of reports.

ALEKS will generate the report and email it to the administrator as an Excel attachment. The report will include the students’ names, instructors’ names, class sections, and the relevant report data.

To access the Master Template reports:

1. From the Master Templates sub-navigation, select Master Templates List.

2. Locate the Master Template you wish to run reports for.

3. Under the Reports column, select the paper-like icon for the pre-built Master

Templates Reports options. (Or, select the tool-like icon to create a Custom Report; Sec. 7.3.29.)

4. You will see a list of available reports. Click on the link of the report you would like to generate.

5. Select the Send Me the report button.

At the end of the process, you will see a confirmation message letting you know that the request is being processed.

NOTE. Blank Excel attachments will be generated if linked classes to a Master Template do not contain students.

7.10.14

Effects of Editing a Master Template

The effects of editing a Master Template are as follows:

Âˆ

Edits to the Master Template will apply automatically to all linked classes under the Master Template.

Âˆ

A change made to the Master Template will override what was specifically changed in the linked class. If something was changed in the course settings on the Master

Template, then that specific change would be made to all linked classes. All changes are modular. Changing one part in a module will save all settings of that particular module. For example, if something is changed in the template basic settings, all

7.11. DISTRICT FEATURES settings from that part of the wizard are saved and will override the linked courses.

If a due date is changed in a homework assignment, clicking on the Save button will resave all settings for that assignment.

Âˆ

Instructors of linked classes will receive a message in their ALEKS Message Center

(Inbox) when an administrator has made a change to the Master Template.

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## 7.11

## District Features

Figure 7.88: Tab Indications

In addition to all the features that are available to school administrators, district administrators have access to the features described below. District administrators have four levels of hierarachy: institution, instructor, class, and student.

7.11.1

Account Summary

Figure 7.89: Account Summary

Selecting Institution Administration and then Account Summary displays a page containing account settings and important contact information for the district.

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7.11.2

Administrator Roster

CHAPTER 7. INSTRUCTOR MODULE

Figure 7.90: Administrator Roster

District administrators can view a roster for all administrators in the district by selecting Administrator Roster from Institution Administration. The administrator roster displays administrator information. This roster can be used to manage administrator accounts, including viewing their dashboards, sending messages, and moving and unenrolling students. Many functions are streamlined on this page for updating and managing accounts efficiently.

7.11.3

New Administrator

New district administrator accounts can be created through this feature.

7.11.4

Class Activity

Administrators can view the number of students who worked in ALEKS at each school each month and the average hours worked each week.

7.11.5

Student Roster (District Level)

Like the student roster at the institution level, district administrators can manage many student accounts within the district, including viewing their dashboards, sending messages, and moving and unenrolling students. Many functions are streamlined on

7.11. DISTRICT FEATURES

Figure 7.91: New Administrator this page for updating and managing accounts efficiently. For full details on the student roster, see Sec. 7.9.11.

7.11.6

Subscription Management System (District Level)

District administrators can also view and manage subscriptions for the district and for schools within the disitrict. For more information about Subscription Management

System, see Sec. 7.9.5.

7.11.7

Administrative Reports (District Level)

District administrators can also generate administrative reports for the district and for schools within the disitrict. For more information about administrative reports, see

Sec. 7.9.10.

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# Chapter 8

# Teaching with ALEKS

## 8.1

## The ALEKS Educational Paradigm

ALEKS is based on the understanding that students learn mathematics in different ways, at differing speeds. Starting from an accurate assessment of their current knowledge, students in ALEKS are only offered what they have shown themselves ready to learn. They therefore experience less frustration (from material that is too difficult) and boredom (from material that is too easy). Students are engaged in the learning process, and grow in confidence and independence as they use the program. ALEKS periodically reassesses students to test their retention of new knowledge, and if they forget what was once learned, ALEKS smoothly and efficiently guides them through necessary review and reinforcement. With time and persistence, every ALEKS student will progress toward mastery, in a way clearly visible to both student and instructor.

It is normal for students to be in disparate knowledge states; ALEKS puts this information clearly at the instructor’s disposal. The relative mastery attained by students appears clearly from the “Learning Progress Since Latest Assessment” report in the

Instructor Module. ALEKS does not require students to progress as a unified group.

ALEKS will permit a student to work on any topic in the category “ready to learn,” a list of topics that the student has not yet learned, but has demonstrated (within

ALEKS) the readiness to begin learning.

Students using ALEKS will experience new independence and excitement in learning.

Instructors also may find different opportunities for optimizing their role in the learning process, with a greatly expanded ability to accurately monitor and effectively promote their students’ learning. The role of the instructor is critical in providing structure, support, and reward for the students’ effective use of ALEKS. If ALEKS is used properly, the instructor’s scope for individual coaching and small-group instruction will be greatly expanded, as will the freedom to teach mathematics in a broader and richer way.

ALEKS gives the instructor a set of powerful resources. Various styles of use of ALEKS are possible. The following should be understood as suggestions, designed to give in-

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166 CHAPTER 8. TEACHING WITH ALEKS structors a sense of the possibilities offered by ALEKS’s extensive library of tools.

## 8.2

## The Instructor and ALEKS

ALEKS is often used in regular classroom settings.

The instructor in an ALEKS class need not be collecting, correcting, or distributing papers, organizing groups, managing materials, giving instructions, or supervising activities. The instructor in an ALEKS class may be just as busy teaching mathematics to individual learners: getting one student started on a new topic, checking another student’s work, responding to questions, suggesting alternate methods and explanations, making or reinforcing connections among concepts, and congratulating those who add an item to their pie. ALEKS provides comprehensive support to the student in every phase of its use; the instructor will find that the additional direct support given this way is especially productive. The relation of teacher and student is based on knowledge and discovery, not management and sanction. No one is “behind” in ALEKS; setbacks are readily addressed and overcome; every student can expect to make progress and be recognized.

It is important, especially in the early stages of an ALEKS class, to be generous in recognizing student progress. Students need to understand that when they add an item to their pie, or show progress in a new assessment, it is an achievement. At the same time, formal rewards for the effective use of ALEKS need to be built into the class structure and made clear from the outset (Sec. 8.3).

Students will be assessed at the beginning of their use of ALEKS (following Registration and the Tutorial), and at regular intervals after that. The instructor does not need to supervise all ALEKS assessments; normally, students will be using ALEKS both in and out of the classroom, and taking assessments at various times and locations. Once the students realize that the purpose of the ALEKS assessment is to provide appropriate material in the Learning Mode, there will be little reason to get help, use the textbook or calculator inappropriately, or in any other way achieve inaccurate assessment results.

We recommend supervising the Initial Assessment. The students may need assistance in their first use of the system, they will need to be reassured that the assessment is not for a grade, and it is important to get valid results on this Initial Assessment, so that that the students’ work in the Learning Mode will be productive from the start. For the instructor’s own information, other supervised assessments may also be held at regular intervals to provide accurate “snapshots” of overall progress by the class (Sec. 8.11). We suggest that such supervised assessments be scheduled at the midpoint and end of the class. Also, any assessment results which may be used as a component in the students’ grades should, of course, be obtained from supervised assessments.

NOTE. In cases where students do not seem to be making adequate progress in ALEKS, the student may have received help, or inappropriately used a calculator on an unsupervised assessment, skewing the assessment results and leading to inappropriate material

8.3. PLANNING THE ALEKS CLASS in the Learning Mode. This can be corrected by requesting a new assessment for the student.

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## 8.3

## Planning the ALEKS Class

In ALEKS, the instructor has complete freedom in planning lectures, lessons, and assignments, while ALEKS ensures that students can progress toward mastery regardless of their level of preparation. To the extent that students will be working independently in ALEKS, the content of lab classes is provided by their work in ALEKS. Instructors can, however, plan focused small-group instruction from week to week (Sec. 8.5).

It is important to make ALEKS an integral part of the class requirements and grading scheme. The main factor influencing the success of students using ALEKS is the time that they spend in it. This means that the students must be required to spend a suitable amount of time in ALEKS on a weekly basis. (A minimum of three hours is recommended.) They should be informed of this at the beginning of the class, and the instructor should monitor their fulfillment of this obligation. The amount of time required must be reasonable and in balance with other requirements for the course; the instructor should not simply include an ALEKS requirement without reducing the other requirements that the students have to fulfill. For example, the quantity of homework problems may be reduced, as the students will be solving problems in their ALEKS sessions.

These are only suggestions, and experienced instructors may well find approaches that will be more effective with their own students. There must, however, be clear, formal support for the use of ALEKS.

One approach is to provide a certain number of points toward the final grade for each week that the student fulfills their required hours. It is advisable to reward each week, so that the student does not fall into the expectation that all of the required hours can be done at the end; consistency should be rewarded, along with total hours. If a student falls short of the specified hours during a particular week, that week is not rewarded, but the “deficit” is not carried forward; the next week begins with a clean slate (the primary concern is regular use of the system; for this reason a surplus is also not carried forward). Proportional rewards can also be used; each hour spent has a point value, up to the required minimum.

In order to effectively monitor the students’ use, the instructor should check the hours on the “Learning Progress Since Latest Assessment” page or the “Time and Topic” report.

This page can be printed out every week for record-keeping. In rare cases, students may try to fool ALEKS by logging on to their accounts and doing something else; this can be seen when the number of items gained per hour is far too low. ALEKS will log the student off if there is no activity after a certain amount of time. Instructors can obtain a precise record of a student’s actual work in ALEKS by viewing the student’s “Time and Topic” report.

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The students’ achievement in ALEKS (as opposed to their use of the system) may also be used as a component in their final grade. For information on how to do this, see the

Instructor Manual.

## 8.4

## Preparing Your Students

The following considerations may be useful in preparing your students to begin to use

ALEKS.

Difficulty of Assessment Questions

The ALEKS Initial Assessment is always comprehensive, in order to achieve the highest accuracy and reliability. In the course of the assessment, some questions may be too easy or too difficult for some students. The students should be told to click the I haven’t learned this yet button only if a question is completely unfamiliar to them; otherwise they should do their best to answer. As the assessment proceeds, the questions will focus more and more closely on the outer limits of the student’s actual knowledge. In Learning Mode (following the assessment), students will be provided only material that they are prepared to learn.

Length of Assessments

The number of questions asked in an ALEKS assessment varies. Normally, an assessment in Arithmetic requires between 20 and 30 questions.

No Help in Assessments

Explain to the students that they will need paper and pencil for answering assessment questions, but that no help or collaboration whatsoever is permitted during assessment. If the teacher or anyone else helps the student during assessment, even just explaining or rephrasing a question, assessment results may be inaccurate and the student’s learning in ALEKS may initially be hindered. Be sure students understand that the purpose of the Initial Assessment is to gain a precise, detailed understanding of what they know, so that in Learning Mode they are given material they are ready to learn. It is not a “test” to pass or fail, and they will not receive a grade on an ALEKS assessment (unless the instructor chooses to use assessments for grading).

## 8.5

## Focused Instruction with ALEKS

The features of the Instructor Module make it possible to prepare students for specific topics that they are going to work on, and to reinforce and expand on knowledge that students have recently acquired. This involves either guiding lectures or focused instruction to small groups of students based on data obtained from ALEKS.

The two kinds of teaching opportunities cued by ALEKS come from two types of information maintained by the system for students over the entire time that they use it:

8.5. FOCUSED INSTRUCTION WITH ALEKS the set of items a student is “ready to learn” (or “outer fringe” of the student’s knowledge state), and the set of items most recently learned (“what students can do,” the

“highest” topics in the student’s knowledge state, called the “inner fringe”). (See the

Instructor’s Guide under “Inner and Outer Fringes of a Knowledge State,” in the chapter “Knowledge Spaces and the Theory Behind ALEKS”.) The items “ready to learn” are the topics a student may normally choose to work on in ALEKS; the items recently learned (“what a student can do”) are considered the least secure and most likely to need reinforcement. (These items can be reviewed by clicking the Review button.)

When the students are logged on to ALEKS, these two types of information are used automatically to guide and manage their learning. The instructor, however, can also view the inner and outer fringes in a convenient format to plan focused instruction that will parallel, supplement, and enhance the individual work that their students are doing in ALEKS.

To find this information for a class, the instructor can enter the Instructor Module and select the class, then click on Reports and select the ALEKS Pie report. This report represents the average student in the given class, and displays the weaknesses and strengths of the class as a whole. The Show drop-down box can be used to filter the report by “Current Learning,” “Most Recent Assessment,” or “Initial Assessment.”

Complete details on which topics students have mastered, not mastered, and are ready to learn in the class are available in the section below the pie chart and can be viewed by Objectives (if textbook integration or intermediate objectives are being used) or

ALEKS Table of Contents.

Using the ALEKS Pie Report we can see a breakdown of student mastery for each topic, send messages directly to students, and view additional topics that a group of students is ready to learn. The purpose of this analysis is that the instructor may pick one or more topics from the list and schedule small-group sessions of focused instruction.

The following are examples that illustrate how these features may be used.

Example 1: Basic

On a Friday evening, the instructor sits down to plan lessons for the following week. He or she logs onto ALEKS, selects the name of a class in Arithmetic, selects “Reports” and clicks on the “Class” link below the “ALEKS Pie” to access the ALEKS Pie Report. A pie chart appears showing the average profile of mastery in the class. The “slice” of the pie chart for Whole Numbers is full to about 90 percent; the slices for Fractions, Decimals, and Proportions and Percents are filled much less, ranging between 20 and 40 percent. This indicates that lessons for the week may focus profitably on the most advanced Whole Numbers topics as well as on topics of moderate difficulty in Fractions, Decimals, and Proportions and

Percents.

Example 2: Intermediate

On a weekend afternoon, the instructor logs on to ALEKS, selects the name of a class in Arithmetic, selects “Reports”, and clicks on the “Class” link below the

“ALEKS Pie” to access the ALEKS Pie Report. Next the instructor clicks on

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170 CHAPTER 8. TEACHING WITH ALEKS the “View all topics” toggle, in either the ALEKS tab or the Objectives tab, and when the list of topics appears, the instructor scans this list for items of particular difficulty. “Ordering Numbers with Exponents” has 16 students currently able to choose this topic from their pie charts. The instructor notes this topic down for class discussion early in the week. With the benefit of some timely preparation, the students can be expected to master this troublesome topic with less difficulty.

Example 3: Advanced

On a Monday morning, the instructor logs on to his or her ALEKS account, selects the name of a class in Algebra 1, selects “Reports” and clicks on the “Class” link below the “ALEKS Pie” to access the ALEKS Pie Report. Next, the instructor clicks on the “View all topics” toggle, in either the ALEKS tab or the Objectives tab, and the list of topics appears, clearly showing what students have mastered, not mastered and are ready to learn. The experience and expertise of the instructor are used to used to plan with this information. Suppose that there is only time in the week’s schedule for two small group sessions. (The ALEKS class has only one hour in the lab, and ten minutes are set aside to speak with each small group; the remaining forty minutes are for helping students in the lab.) The instructor will look over the topics with two questions in mind: which topics have the greatest numbers of students, and which are most worth discussing.

For example, looking at the list of topics “Ready to learn,” the instructor sees

“Solving a Linear Equation with Absolute Value: Problem Type 1.” The instructor knows from experience that students have difficulty with the concept, and that they are more successful with it if they have had a chance to review. This topic has twelve students out of thirty in the class. The instructor uses the message feature to send a note to these students, asking them to meet in the front of the room at the beginning of the lab; the students will receive this note the next time they log on to ALEKS, no later than the beginning of that lab.

Looking over the list of topics “Mastered,” the instructor sees “Marking a point in the coordinate plane,” with ten students. Although the number of students is less than for other topics, this one seems to the instructor richer in its content of mathematical culture than the others; students who have just worked on this topic are may be using the coordinate plane for the first time. Thus this is chosen as the second topic, and a second message is sent to these students, to meet at the front of the room, ten minutes into the lab.

## 8.6

## Models of Classroom Integration

There are numerous ways in which ALEKS can be and is used in concrete educational situations.

Supervised Math Lab

Expert supervision can be provided for the students’ use of ALEKS in regularly

8.7. MONITORING STUDENT USE scheduled mathematics lab periods, whether or not these are part of a conventional class structure. Students benefit from the direct coaching and assistance of qualified instructors in the course of their work with ALEKS.

Math Lab in Structured Course

The supervised mathematics lab may be part of a structure of class meetings, combined with conventional and lecture-style classes. The instructor in such a setting need not gear the sequence of topics covered in classes in any way to what the students are doing in ALEKS; the students’ independent work in ALEKS will increasingly benefit their performance on quizzes and tests, as well as their understanding of lectures. ALEKS is not designed to “teach to the test,” although experience has shown that students’ performance on comprehensive tests improves dramatically when they have worked with ALEKS over time.

Small-Group Instruction

The recommended use of ALEKS in a classroom setting makes use of the detailed analysis of individual student knowledge provided through the Class Report page to tailor the lectures to the skills of students.

Self-Paced Learning

In this scenario students may use the school computer lab on their own, with only informal supervision. ALEKS is used in this case much as it is for distance learning, except that students have the opportunity for closer consultation with the instructor.

Distance Learning

ALEKS is used by students who may never enter the physical classroom, or may enter only on a few occasions for orientation and supervised assessments. ALEKS provides a range of features for communication between instructor and student, as well as powerful facilities for the monitoring and evaluation of student work.

Regardless of which approach is used, you can derive more benefit from ALEKS through monitoring the students’ use of ALEKS and communicating with them, whether in direct contact, by email, or by messages through the ALEKS system. As discussed above, we recommend that a certain number of hours in ALEKS each week be required

(Sec. 8.3); this should be made clear from the start as part of the published course syllabus and rewarded appropriately through the grading scheme. Students’ progress in ALEKS should be recognized and reinforced early on; conversely, students who do not seem to make adequate progress should be contacted promptly.

The following sections of this chapter provide more information on these issues affecting the classroom use and integration of ALEKS.

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## 8.7

## Monitoring Student Use

In the day-to-day use of ALEKS by a class, a principal concern of the instructor is to monitor that students are using ALEKS regularly and for at least the required amount

172 CHAPTER 8. TEACHING WITH ALEKS of time. The most convenient place to find this information is the “Time and Topic report for all students” (under “Reports”). Each student’s name is displayed on this page along with the total number of hours that student has spent logged on to the system. There is also a breakdown of how much time the student has spent in ALEKS on a daily basis. Students can see this same breakdown of daily usage in their own accounts by using the “Report” link.

It is also important that critical assessments be supervised by the instructor, to ensure that valid results are received (Sec. 8.2).

## 8.8

## Monitoring the Progress of a Class

The instructor can also use the bar graphs on the “Learning progress since latest assessment” page to see how close each student is to mastery of the subject matter. Keep in mind that the bar graphs displayed on this page show only the students’ achievement as of their last assessment (in blue) and any progress made in the Learning Mode since that assessment (in green). For a more panoramic view of the progress made by a group, select the “Total progress” report. This displays the difference between the students’ knowledge on their first and their most recent assessments.

The “Detailed progress history” report is an expanded version of “Learning progress since latest assessment.” It shows the learning history for all students, with one bar graph for each assessment taken. The bar graphs are stacked, with the earliest on the bottom, and the most recent at the top. To the left of each bar there is the date of the assessment and a notation indicating the reason for the assessment.

To see each of the assessments for a given student, with that student’s progress subsequent to each assessment in the Learning Mode, the instructor should view the page

“Progress report for a particular student in this class” for the student.

## 8.9

## Monitoring Individual Progress

On the page “Progress report for a particular student in this class” there is a line for each assessment taken by a particular student, with bar graphs showing mastery as of that assessment and subsequent progress made in the Learning Mode. The Initial

Assessment is shown in the bottom line, with later assessments “stacked” upward. By following progression from earlier to later assessments, the instructor can see very clearly how a student is progressing toward mastery of the subject matter.

Use caution in interpreting this information. Students vary widely in how they master material. Progress made in the Learning Mode (green bar) is not always immediately reflected in the student’s level of mastery on a subsequent assessment. Some students progress more quickly in Assessment Mode than in the Learning Mode. In such cases the “new” blue line is further ahead than the green line just below it. On the other

8.10. MOVING A STUDENT TO A NEW CLASS hand, many students make faster progress in the Learning Mode than in assessment. In such cases the “new” blue line lags behind the green line below it. It is very common for a student to master the entire subject matter two or more times in the Learning

Mode before that mastery is finally confirmed in an assessment. Part of the power of the ALEKS system is that it accommodates individual differences in behavior.

NOTE. In cases where a student moves backward in his or her mastery, the instructor should contact the student. If the student did not take the assessment seriously enough, a new one can be requested.

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## 8.10

## Moving a Student to a New Class

A student subscription to ALEKS entitles the student to work through as many subjects in the sequence as the student masters during the subscription period (with some exceptions). When a student completes the objectives of a class, the student should be moved to a more advanced class.

## 8.11

## Ordering Assessments

Following the Initial Assessment (which should be taken under the instructor’s supervision), the ALEKS system will automatically schedule other assessments as needed to guide the students’ progress. The instructor, however, can order an individual or group assessment at any time. It is a good practice for the instructor to schedule supervised assessments at regular intervals (interim and end of the class), as “snapshots” of overall class achievement.

## 8.12

## Independent Study and Distance Learning

The ALEKS system is well suited to use in an independent study or distance learning context. ALEKS is self-contained and adaptable to any program or class materials.

Students using ALEKS under these circumstances know exactly what the class goals are, where they stand in relation to those goals, and what they need to do to achieve them.

For the instructor administering an independent study or distance learning program,

ALEKS solves nearly every problem of management, oversight, evaluation, and communication. All of the information needed to keep track of far-flung independent learners is at the instructor’s fingertips, through the features of the Instructor Module. The internal message system of ALEKS puts the instructor in constant touch with students, without dependence on telephone or email communication.

174 CHAPTER 8. TEACHING WITH ALEKS

## 8.13

## The ALEKS Knowledge Structure

Each ALEKS subject, such as Algebra 1, has a knowledge structure associated with it.

The number of items comprised in a knowledge structure ranges roughly between 200 and 500 topics. A knowledge state is a subset of items which may correspond to the knowledge of an actual student (i.e., there may be a student who has mastered exactly those items, and no others). A knowledge structure is the family of all the knowledge states that we may encounter for a given subject.

An ALEKS structure affects virtually every aspect of ALEKS’s functioning. In the

ALEKS Assessment Mode it enables ALEKS to make inferences from student answers, keeping the ALEKS assessments brief but accurate.

The structure is also crucial in the ALEKS Learning Mode. Using the structure of a given course product, the system knows precisely which items are in the inner fringe and outer fringe of each of the knowledge states in ALEKS. The items in the outer fringe of a student’s knowledge state are those items that the student is the most ready to learn next. (From a technical standpoint, an item is in the outer fringe of a state if adding that item to the state results in another feasible knowledge state.) These items are presented to the student in MyPie when the student moves the mouse pointer over the ALEKS Pie Chart. Similarly, an item in the inner fringe of a student’s state is an item either recently learned or one whose mastery by the student might be shaky.

(Technically, an item is in the inner fringe of a state if removing that item from the state results in another feasible knowledge state.) They are presented to the student when the student is having difficulty in the ALEKS Learning Mode and during ALEKS

Review.

An additional benefit of the proliferation of connections among items in ALEKS is its extreme flexibility from the students’ viewpoint: for any particular topic, there is a vast number of possible approaches, or learning paths, which may lead students to mastery of that topic. This flexibility does not imply, however, that any order is possible. Each learning path leading to a particular topic must contain, at a minimum, the items which are “below” such topic in the ALEKS structure.

## 8.14

## Objectives

ALEKS also provides a facility for creating multiple sets of programs within a single class (See the Instructor’s Guide under Set Objectives / Modules, in the chapter

Instructor Module). The Objectives feature makes it possible to prioritize particular sets of items for particular periods of time, by constraining the choices available to the students. When Objectives have been set, students will be guided to these items by the shortest possible path. Items that they are ready to learn, but are not on the shortest path to the Objectives, with be “greyed out”; they will appear in the students’ pie charts, but the students will not be able to choose them.

# Chapter 9

# Knowledge Spaces and the Theory

# Behind ALEKS

## 9.1

## History

Knowledge Space Theory has been under development since 1983 by Professor Jean-

Claude Falmagne, who is the Chairman and founder of ALEKS Corporation, and other scientists (especially, Jean-Paul Doignon from Belgium) in the United States and Europe.

ALEKS is the first computer system to embody Knowledge Space Theory for assessment and teaching.

## 9.2

## Theory

A complete exposition of Knowledge Space Theory is not intended here. The Bibliography contains a number of references for those interested in further details (Sec. 9.3).

Knowledge Space Theory is expressed in a mathematical discipline often referred to as

“Combinatorics.” What follows here is a brief, intuitive summary introducing certain fundamental terms employed in discussions of ALEKS.

9.2.1

Domain, Items, and Instances

An academic discipline such as Arithmetic or Algebra is represented as a particular set of problems or questions that comprehensively embody the knowledge of the discipline.

That set is called the domain, and the problems are called items. A symbolic representation of the domain of Arithmetic uses dots standing for items (Fig. 9.1). One of the items, which might be entitled “Word problem with percentages,” is indicated by a line. The problem in the rectangle is an instance of that item.

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176 CHAPTER 9. KNOWLEDGE SPACES AND THE THEORY BEHIND ALEKS

Figure 9.1: Domain of Arithmetic

Each item, or problem type, has at least dozens, more often hundreds or thousands of instances. Full mastery of the subject implies the ability to solve problems corresponding to all the items making up the domain.

Determining the set of items that make up the domain is the first step in constructing a “knowledge structure” for that domain. This is done by research in instructional materials and standards and systematic consultation with professionals. Substantial agreement is achieved among expert pedagogues on the choice and definition of items.

The set of items finally arrived at and forming the domain must be comprehensive, that is, it must cover all the concepts that are included in the particular academic discipline.

9.2.2

Knowledge States

The knowledge state of a student is represented by the set of items in the domain that he or she is capable of solving under ideal conditions (Fig. 9.2). This means that the student is not working under time pressure, is not upset or impaired in any way, etc. In reality, careless errors may arise. Also, the correct response to a question may occasionally be guessed by a subject lacking any real understanding of the question asked. (This will occur very rarely when using the ALEKS system, because multiplechoice answers are not used.) An individual’s knowledge state is not directly observable and has to be inferred from responses to questions.

9.2. THEORY

Figure 9.2: Knowledge State

Figure 9.3: Learning Path

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178 CHAPTER 9. KNOWLEDGE SPACES AND THE THEORY BEHIND ALEKS

9.2.3

Knowledge Structures and Knowledge Spaces

It should be obvious that not all possible subsets of the domain are feasible knowledge states. For instance, every student having mastered “long division” would also have mastered “addition of decimal numbers.” Thus, there is no knowledge state containing the “long division” item that does not also contain the “addition of decimal numbers” item. The collection of all feasible knowledge states is referred to as the knowledge structure. The very large number of states for any product means that there are many possible ways of acquiring knowledge, i.e., many learning paths (Fig. 9.3). In the ALEKS knowledge structure there are literally billions of such learning paths. A

“knowledge space” is a particular kind of knowledge structure.

As in many real-life applications, “noise” and errors of various sorts often creep in, which require the elaboration of a probabilistic theory. The ALEKS System is based on such a probabilistic theory, which makes it capable of recovering from errors. For instance,

ALEKS is capable of deciding that a student has mastered an item, even though the student has actually made an error when presented with a problem instantiating this item. This is not mysterious: a sensible examiner in an oral exam, observing an error to a question about addition would nevertheless conclude that the student has mastered addition, for example, if that student had given evidence of skillful manipulation of fractions.

9.2.4

Inner and Outer Fringes of a Knowledge State

Figure 9.4: Outer Fringe of a Knowledge State

An item that has not yet been mastered by a student may not be immediately learnable by that student. Learning one or more prerequisite items may be necessary. Consider

9.2. THEORY

Figure 9.5: Inner Fringe of a Knowledge State a student in a particular knowledge state K. The set of all items that may be learned immediately by a student in that state K is called the outer fringe of the state K.

The outer fringe of a state K is defined as the set of all items, any one of which may be the next one learned. An item is in the outer fringe of the state K if the addition of that item to the state K forms a new, feasible knowledge state (Fig. 9.4). Typically, the outer fringe of a knowledge state will contain between one and several items.

Similarly, an item is in the inner fringe of a state K if there is some other knowledge state to which that item may be added to form state K (Fig. 9.5). The inner fringe of a state K is thus defined as the set of all items, any one of which may have been the last one learned.

These two concepts of inner and outer fringes are used in powerful ways in the Learning

Mode of the ALEKS system. For example, the system always offers a student problems to solve that are based on items in the outer fringe of his or her state. If ALEKS judges that a student is experiencing difficulties in learning some new item, ALEKS typically reviews the mastery of items in the inner fringe of the student’s state that are also related to the new item to be learned.

9.2.5

Assessment

How can ALEKS uncover, by efficient questioning, the particular knowledge state of a student? While the details of ALEKS’s method for achieving such a goal are technical, the guiding intuition is straightforward. At every moment of an assessment, ALEKS chooses a question to be “as informative as possible.” In our context, this means a question which the student has, in the system’s estimate, about a 50 percent chance of getting right. The student’s response (correct or false) determines a change in all

179

180 CHAPTER 9. KNOWLEDGE SPACES AND THE THEORY BEHIND ALEKS the likelihood values: for instance, if the question involved manipulation of fractions, and the student’s response was correct, then all the knowledge states containing this item would have their likelihood values increased. The specific way the questions are chosen and the likelihood values altered makes it possible for ALEKS to pinpoint the student’s state in a relatively short time. In Arithmetic, for example, approximately

15–25 questions usually suffice.

Finally, it should be noted that the assessment report given to students, instructors, and administrators is a very precise summary of the student’s knowledge state. If the structure is known, the outer fringe and inner fringe together completely define the student’s knowledge state. Internally, the system registers the student’s knowledge or non-knowledge of each item in the domain.

A more thorough but still accessible overview of Knowledge Space Theory is available on the ALEKS website: Cosyn, Doignon, Falmagne, “The Assessment of Knowledge, in

Theory and Practice”: http://www.aleks.com/about aleks/Science Behind ALEKS.pdf

A comprehensive treatment of Knowledge Space Theory can be found in Doignon and

Falmagne, Learning Spaces (Springer-Verlag, Berlin, Heidelberg, 2011).

A comprehensive scientific bibliography on Knowledge Spaces is maintained here: http://css.uni-graz.at/kst.php

For a more selective bibliography, see the following section.

## 9.3

## Selected Bibliography

Albert, D., editor. (1994). Knowledge Structures. New York: Springer-Verlag.

Albert, D. and Hockmeyer, C. (1997). Adaptive and dynamic hypertext tutoring systems based on knowledge space theory. In B. du Boulay and R. Mizoguchi, editors, Artificial Intelligence in Education: Knowledge and Media in Learning Systems

, volume

39 of Frontiers in Artificial Intelligence and Applications, pp. 553-555. Amsterdam:

IOS Press.

Albert, D. and Lukas, J., editors. (1999). Knowledge Spaces: Theories, Empirical

Research, Applications

. Mahwah, NJ: Lawrence Erlbaum Associates.

Albert, D., Bahrick, H., Falmagne, J.-C., Witteveen, C., d’Ydewalle, G., and Toda, M.

(1992). Representation and assessment of knowledge. In B. Wilpert, H. Motoaki, and

J. Mitsumi, editors, General Psychology and Environmental Psychology, volume 2, pp.

9-98, July 1990. Proceedings of the 22nd International Congress of Applied Psychology.

Hove, UK: Lawrence Erlbaum Associates, Ltd.

9.3. SELECTED BIBLIOGRAPHY

Albert, D. and Held, T. (1994). Establishing knowledge spaces by systematical problem construction. In D. Albert, editor, Knowledge Structures, vol. 1, pp. 78-112. Berlin,

Heidelberg: Springer-Verlag.

Albert, D., Held, T., and Schrepp, M. (1992). Construction of knowledge spaces for problem solving in chess. In G.H. Fischer and D. Laming, editors, Contributions to

Mathematical Psychology, Psychometrics, and Methodology , pp. 123-135. New York:

Springer-Verlag.

Arasasingham, R., Lonjers, S., Martorell, I., Potter, F., and Taagepera, M. (2005).

Assessing the Effect of Web-Based Learning Tools on Student Understanding of Stoichiometry Using Knowledge Space Theory. Journal of Chemical Education, 82, 1251.

Arasasingham, R., Lonjers, S., Potter, F., and Taagepera, M. (2004). Using Knowledge

Space Theory to Assess Student Understanding of Stoichiometry. Journal of Chemical

Education

, 81, 1517.

Baumunk, K. and Dowling, C. (1997). Validity of spaces for assessing knowledge about fractions. Journal of Mathematical Psychology, 41, 99-105.

Brandt, S., Albert, D., and Hockemeyer, C. (1999). Surmise relations between tests preliminary results of the mathematical modelling. Electronic Notes in Discrete Mathematics , 2.

Cosyn, E. (2002). Coarsening a knowledge structure. Journal of Mathematical Psychology

, 46, 123-139.

Cosyn, E., Doble, C., Falmagne, J.-C., Lenoble, A., Thi´ery, N., and Uzun, H. (In Preparation). Assessing mathematical knowledge in a learning space. In D. Albert, C. Doble,

D. Eppstein, J.-C. Falmagne, and X. Hu, editors, Knowledge Spaces: Applications in

Education

. In Preparation.

Cosyn, E., Doignon, J.-P., Falmagne, J.-C., and Thi´ery, N. (2006). The assessment of knowledge, in theory and in practice. In B. Ganter and L. Kwuida, editors, Formal Concept Analysis

, 4th International Conference, ICFCA 2006, Dresden, Germany, February

13-17, 2006, Lecture Notes in Artificial Intelligence, pp. 61-79. Berlin, Heidelberg, New

York: Springer-Verlag.

Cosyn, E. and Thi´ery, N. (2000). A practical procedure to build a knowledge structure.

Journal of Mathematical Psychology , 44, 383-407.

Cosyn, E. and Uzun, H. (2009). Note on two necessary and sufficient axioms for a well-graded knowledge space. Journal of Mathematical Psychology, 53(1), 40-42.

Degreef, E., Doignon, J.-P., Ducamp, A., and, Falmagne J.-C. (1986). Languages for the assessment of knowledge. Journal of Mathematical Psychology, 30, 243-256.

Doignon, J.-P. (1994). Knowledge spaces and skill assessments. In G. Fischer and

D. Laming, editors, Contributions to Mathematical Psychology, Psychometrics, and

Methodology

, pp. 111-112. New York: Springer-Verlag.

Doignon, J.-P. (1999). Dimensions of chains of relations. Abstract of a Talk presented

181

182 CHAPTER 9. KNOWLEDGE SPACES AND THE THEORY BEHIND ALEKS at the OSDA98, Amherst, MA, September 1998. Electronic Notes in Discrete Mathematics , 2.

Doignon, J.-P. and Falmagne, J.-C. (1985). Spaces for the assessment of knowledge.

International Journal of Man-Machine Studies

, 23, 175-196.

Doignon, J.-P. and Falmagne, J.-C. (1987). Knowledge assessment: A set theoretical analyse: Vortr¨

, pp. 129-140.

Mannheim: BI Wissenschaftsverlag.

Doignon, J.-P. and Falmagne, J.-C. (1988). Parametrization of knowledge structures.

Discrete Applied Mathematics

, 21, 87-100.

Doignon, J.-P. and Falmagne, J.-C. (1997). Well-graded families of relations. Discrete

Mathematics

, 173, 35-44.

Doignon, J.-P. and Falmagne, J.-C. (1999). Knowledge Spaces. Berlin, Heidelberg, New

York: Springer-Verlag.

Doignon, J.-P. and Falmagne, J.-C. (2011). Learning Spaces: Interdisciplinary Applied

Mathematics

. Berlin, Heidelberg: Springer-Verlag.

Doignon, J.-P. and Falmagne, J.-C., editors. (1991). Mathematical Psychology: Current

Developments . New York: Springer-Verlag.

Dowling, C.E. (1991). Constructing knowledge spaces from judgements with differing degrees of certainty. In J.-P. Doignon and J.-C. Falmagne, editors, Mathematical

Psychology: Current Developments , pp. 221-231. New York: Springer-Verlag.

Dowling, C.E. (1991). Constructing Knowledge Structures from the Judgements of Experts

. Habilitationsschrift, Technische Universit¨at Carolo-Wilhelmina, Braunschweig,

Germany.

Dowling, C.E. (1993). Applying the basis of a knowledge space for controlling the questioning of an expert. Journal of Mathematical Psychology, 37, 21-48.

Dowling, C.E. (1993). On the irredundant construction of knowledge spaces. Journal of Mathematical Psychology

, 37, 49-62.

Dowling, C.E. (1994). Integrating different knowledge spaces. In G.H. Fischer and

D. Laming, editors, Contributions to Mathematical Psychology, Psychometrics, and

Methodology

, pp. 149-158. New York: Springer-Verlag.

Dowling, C. and Hockemeyer, C. (1998). Computing the intersection of knowledge spaces using only their basis. In C. Dowling, F. Roberts, and P. Theuns, editors, Recent

Progress in Mathematical Psychology

, pp. 133-141. Hillsdale, USA: Lawrence Erlbaum

Associates Ltd.

Dowling, C. and Hockemeyer, C. (1999). Integrating knowledge spaces obtained by querying different experts. Abstract of a Talk presented at the OSDA98, Amherst,

MA, September 1998. Electronic Notes in Discrete Mathematics, 2.

Dowling, C. and Hockemeyer, C. (2001). Automata for the assessment of knowledge.

IEEE Transactions on Knowledge and Data Engineering , 13(3), 451-461.

9.3. SELECTED BIBLIOGRAPHY

Dowling, C., Hockemeyer, C., and Ludwig, A. (1996). Adaptive assessment and training using the neighbourhood of knowledge states. In C. Frasson, G. Gauthier, and A. Lesgold, editors, Intelligent Tutoring Systems, volume 1086 of Lecture Notes in Computer

Science, pp. 578-586. Berlin: Springer-Verlag.

Dowling, C. and Kaluscha, R. (1995). Prerequisite relationships for the adaptive assessment of knowledge. In J. Greer, editor, Artificial Intelligence in Education, pp.

43-50. Charlottesville, VA: Association for the Advancement of Computing in Education (AACE).

Dowling, C., Roberts, F., and Theuns, P., editors. (1998). Recent Progress in Mathematical Psychology

. Scientific Psychology Series. Hillsdale, USA: Lawrence Erlbaum

Associates Ltd.

183

Mathematical and Statistical Psychology

, 48, 9-27.

Journal of Mathematical Psychology

, 40, 160-168.

CALL. In S. Jager, J. Nerbonne, and A. van Essen, editors, Language Teaching and

Language Technology

, pp. 177-186. Lisse: Swets and Zeitlinger.

Eppstein, D., Falmagne, J.-C., and Ovchinnikov, S. (2008). Media Theory: Interdisciplinary Applied Mathematics

. Berlin, Heidelberg: Springer-Verlag.

Falmagne, J.-C. (1989). A latent trait theory via stochastic learning theory for a knowledge space. Psychometrika, 54, 283-303.

Falmagne, J.-C. (1989). Probabilistic knowledge spaces: a review. In F. Roberts, editor,

Applications of Combinatorics and Graph Theory to the Biological and Social Sciences

, volume 17 of IMA, pp. 283-303. New York: Springer-Verlag.

Falmagne, J.-C. (1993). Stochastic learning paths in a knowledge structure. Journal of

Mathematical Psychology

, 37, 489-512.

Falmagne, J.-C. (1994). Finite markov learning models for knowledge structures. In

G. Fischer and D. Laming, editors, Contributions to Mathematical Psychology, Psychometrics, and Methodology

. New York: Springer-Verlag.

Falmagne, J.-C. (1996). Errata to SLP. Journal of Mathematical Psychology, 40, 169-

174.

Falmagne, J.-C. (1999). ALEKS, an application of knowledge space theory. Tutorial given at the OSDA98, Amherst, MA, September 1998. Electronic Notes in Discrete

Mathematics

, 2.

Falmagne, J.-C. and Doignon, J.-P. (1988). A class of stochastic procedures for the assessment of knowledge. British Journal of Mathematical and Statistical Psychology,

41, 1-23.

Falmagne, J.-C. and Doignon, J.-P. (1988). A markovian procedure for assessing the state of a system. Journal of Mathematical Psychology, 32, 232-258.

184 CHAPTER 9. KNOWLEDGE SPACES AND THE THEORY BEHIND ALEKS

Falmagne, J.-C. and Doignon, J.-P. (1993). A stochastic theory for system failure assessment. In B. Bouchon-Meunier, L. Valverde, and R.R. Yager, editors, Uncertainty in Intelligent Systems

, pp. 431-440. Amsterdam: North-Holland.

Falmagne, J.-C. and Doignon, J.-P. (1997). Stochastic evolution of rationality. Theory and Decision , 43, 107-138.

Falmagne, J.-C. and Doignon, J.-P. (1998). Meshing knowledge structures. In C. Dowling, F. Roberts, and P. Theuns, editors, Recent Progress in Mathematical Psychology, pp. 143-153. Hillsdale, USA: Lawrence Erlbaum Associates Ltd.

Falmagne, J.-C., Koppen, M., Villano, M., Doignon, J.-P. and Johannesen, L. (1990).

Introduction to knowledge spaces: How to build, test and search them. Psychological

Review , 97, 201-224.

Falmagne, J.-C. and Lakshminarayan, K. (1994). Stochastic learning paths—estimation and simulation. In G. Fischer and D. Laming, editors, Contributions to Mathematical

Psychology, Psychometrics, and Methodology . New York: Springer-Verlag.

Falmagne, J.-C. and Ovchinnikov, S. (2002). Media Theory. Discrete Applied Mathematics , 121, 83-101.

Fischer, G. and Laming, D., editors. (1994). Contributions to Mathematical Psychology,

Psychometrics, and Methodology

. New York: Springer-Verlag.

Fries, S. (1997). Empirical validation of a markovian learning model for knowledge structures. Journal of Mathematical Psychology, 41, 65-70.

Heller, J. and Repitsch, C. (2008). Distributed skill functions and the meshing of knowledge structures. Journal of Mathematical Psychology, 52(3), 147-157.

Hockemeyer, C. (1997). Using the basis of a knowledge space for determining the fringe of a knowledge state. Journal of Mathematical Psychology, 41, 275-279.

Hockemeyer, C. (2001). Tools and utilities for knowledge spaces. Unpublished technical

Hockemeyer, C., Albert, D., and Brandt, S. (1998). Surmise relations between courses.

Abstract of a talk presented at the 29th EMPG meeting, Keele, UK, September 1998.

Journal of Mathematical Psychology

, 42, 508.

Hockemeyer, C., Held, T., and Albert, D. (1998). RATH—a relational adaptive tutoring hypertext WWW-environment based on knowledge space theory. In C. Alveg Ë™ard, editor, CALISCE’98: Proceedings of the Fourth International Conference on Computer

Aided Learning in Science and Engineering

, pp. 417-423. G¨oteborg, Sweden: Chalmers tekniska h¨ogskola.

Kambouri, M. (1991). Knowledge assessment: A comparison between human experts and computerized procedure . Doctoral Dissertation, New York University.

Kambouri, M., Koppen, M., Villano, M., and Falmagne, J.-C. (1991). Knowledge assessment: Tapping human expertise. Irvine Research Unit in Mathematical Behavioral

Sciences . University of California.

9.3. SELECTED BIBLIOGRAPHY

Kambouri, M., Koppen, M., Villano, M., and Falmagne, J.-C. (1994). Knowledge assessment: tapping human expertise by the QUERY routine. International Journal of

Human-Computer Studies

, 40, 119-151.

Koppen, M. (1989). Ordinal Data Analysis: Biorder Representation and Knowledge

Spaces

. Doctoral Dissertation, Katholieke Universiteit te Nijmegen, Nijmegen, Netherlands.

Koppen, M. (1993). Extracting human expertise for constructing knowledge spaces: An algorithm. Journal of Mathematical Psychology, 37, 1-20.

Koppen, M. (1998). On alternative representations for knowledge spaces. Mathematical

Social Sciences

, 36, 127-143.

Koppen, M. and Doignon, J.-P. (1990). How to build a knowledge space by querying an expert. Journal of Mathematical Psychology, 34, 311-331.

Lakshminarayan, K. and Gilson, F. (1998). An application of a stochastic knowledge structure model. In C. Dowling, F. Roberts, and P. Theuns, editors, Recent Progress in

Mathematical Psychology

, pp. 155-172. Hillsdale, USA: Lawrence Erlbaum Associates

Ltd.

Lukas, J. and Albert, D. (1993). Knowledge assessment based on skill assignment and psychological task analysis. In G. Strube and K. Wender, editors, The Cognitive Psychology of Knowledge , volume 101 of Advances in Psychology, pp. 139-160. Amsterdam:

North-Holland.

Muller C. (1989). A procedure for facilitating an expert’s judgments on a set of rules. In

E. Roskam, editor, Mathematical Psychology in Progress, pp. 157-170. Berlin: Springer-

Verlag.

Pilato, G., Pirrone, R., and Rizzo, R. (2008). A KST-based system for student tutoring.

Applied Artificial Intelligence

, 22, 283-308.

Rusch, A. and Wille, R. (1996). Knowledge spaces and formal concept analysis. In

H.-H. Bock and W. Polasek, editors, Data Analysis and Information Systems, Studies in Classification, Data Analysis, and Knowledge Organization, pp. 427-436. Berlin:

Springer-Verlag.

Schrepp, M. (1997). A generalization of knowledge space theory to problems with more than two answer alternatives. Journal of Mathematical Psychology, 41, 237-243.

Schrepp, M. (1999). Extracting knowledge structures from observed data. British

Journal of Mathematical and Statistical Psychology , 52, 213-224.

Schrepp, M. (1999). On the empirical construction of implications between bi-valued test items. Mathematical Social Sciences, 38, 361-375.

Schrepp, M. (2001). A method for comparing knowledge structures concerning their adequacy. Journal of Mathematical Psychology, 45, 480-496.

Schrepp, M. and Held, T. (1995). A simulation study concerning the effect of errors on the establishment of knowledge spaces by querying experts. Journal of Mathematical

Psychology , 39, 376-382.

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Stefanutti, L. and Albert, D. (2002). Efficient assessment of organizational action based on knowledge space theory. In K. Tochtermann and H. Maurer, editors, 2nd International Conference on Knowledge Management, Journal of Universal Computer Science,

183-190.

Strube, G. and Wender, K., editors. (1993). The Cognitive Psychology of Knowledge, volume 101 of Advances in Psychology. Elsevier.

Suck, R. (1998). Ordering orders. Mathematical Social Sciences, 36, 91-104.

Suck, R. (1999). The basis of a knowledge space and a generalized interval order.

Electronic Notes in Discrete Mathematics

, 2.

Suck, R. (1999). A dimension-related metric on the lattice of knowledge spaces. Journal of Mathematical Psychology , 43, 394-409.

Taagepera, M., Arasasingham, R., Potter, F., Soroudi, A., Lam, G. (2002). Following the Development of the Bonding Concept Using Knowledge Space Theory. Journal of

Chemical Education

, 79, 1756.

Taagepera, M. and Noori, S. (2000). Mapping Students’ Thinking Patterns in Learning

Organic Chemistry by the Use of the Knowledge Space Theory. Journal of Chemical

Education

, 77, 1224.

Taagepera, M., Potter, F., Miller, G., and Lakshminarayan, K. (1997). Mapping students thinking patterns by the use of knowledge space theory. International Journal of

Science Education , 19, 283-302.

Thi´ery, N. (2001). Dynamically Adapting Knowledge Spaces. Doctoral Dissertation,

University of California, Irvine.

Theuns, P. (1998). Building a knowledge space via boolean analysis of co-occurrence data. In C. Dowling, F. Roberts, and P. Theuns, editors, Recent Progress in Mathematical Psychology , pp. 173-194. Hillsdale, USA: Lawrence Erlbaum Associates Ltd.

Villano, M. (1991). Computerized knowledge assessment: Building the knowledge structure and calibrating the assessment routine

. Doctoral Dissertation, New York University.

Villano, M., Falmagne, J.-C., Johannsen, L., and Doignon, J.-P. (1987). Stochastic procedures for assessing an individual’s state of knowledge. In Proceedings of the International Conference on Computer-Assisted Learning in Post-Secondary Education

,

Calgary 1987, pp. 369-371. Calgary: University of Calgary Press.

Wille, R. (1999). Formal concept analysis. Abstract of a Tutorial given at the OSDA98,

Amherst, MA, September 1998. Electronic Notes in Discrete Mathematics, 2.

Wille, R. (1999). Mathematical support for empirical theory building. Abstract of a

Talk presented at the OSDA98, Amherst, MA, September 1998. Electronic Notes in

Discrete Mathematics

, 2.

# Chapter 10

# Frequently Asked Questions

## 10.1

## General

General questions on ALEKS concern what it is, its purpose, and what it contains.

What is ALEKS?

ALEKS is an online educational software program based on a cycle of assessment and learning. ALEKS course products include Mathematics, Statistics, Accounting, Business, and Chemistry. By knowing exactly which concepts the student has mastered and which are new but within reach, ALEKS enables the student to work on those concepts they are most ready to learn. ALEKS is a full-time automated tutor, including explanations, practice and feedback. ALEKS interacts closely with the student, continuously updating its precise map of the student’s knowledge state. ALEKS combines the advantages of one-on-one instruction and evaluation with the convenience of being on-call, on your computer, 24 hours a day, seven days a week. The cost of ALEKS is a small fraction of the cost of a human tutor.

What makes ALEKS different?

A great many important differences exist between ALEKS and other kinds of

“educational software,” including its finely individualized instructional features, easy access over the Internet, rigorous and comprehensive educational content, and full-featured class-management module for instructors and administrators. A critical difference is the capacity of ALEKS for efficient, precise, comprehensive, and qualitative assessment. This not only makes it a valuable tool for monitoring educational progress, but also enables it to provide students with the material they are most able to learn at a particular time. Students will not be given material they have already mastered, or topics for which they have not yet demonstrated prerequisite knowledge.

ALEKS is a self-contained learning environment, with complete sets of practice and explanatory units needed for the subjects that it covers. The units may also

187

188 CHAPTER 10. FREQUENTLY ASKED QUESTIONS be referenced or linked to textbooks for extended treatment of mathematical concepts. There is an online student mathematics dictionary accessed by clicking on underlined mathematical terms (hypertext links), and a diagnostic feedback facility that, in many cases, is able to explain the nature of misunderstandings and errors made by students.

For instructors, ALEKS offers a complete administrative and monitoring facility through which individual and group progress can be checked, standards established, enrollment managed, and messages exchanged. ALEKS can be configured for use with diverse educational standards.

ALEKS is not a game or “edutainment.” It is an automated educational tool with robust, carefully-designed features for both learners and educators.

What are the parts or “modules” of ALEKS?

The principal “modules” of ALEKS are the Assessment Mode, in which student knowledge is rigorously assessed, the Learning Mode, where students work on mastering specific concepts, the Instructor Module, in which instructors and administrators are able to monitor student progress and carry out administrative functions, and the Administrator Account, which permits management and monitoring of an arbitrary number of separate institutions, such as those making up a school district. There is also a Tutorial (which students take when first registering with the system), online help, a mathematical dictionary, graphic display of assessment results and learning progress, and many other features.

Why is ALEKS on the Internet?

ALEKS is available on the Internet so that a student who has registered with the system can use it from any suitable computer, in any location. Very little technical preparation is required. All you need is a self-installing, self-maintaining “plugin” obtained directly from the ALEKS website. No disks, CD’s, peripherals, or backup facilities are required. All data is kept securely on the ALEKS Corporation servers.

## 10.2

## Technical

The technical information needed to use ALEKS is minimal. These few questions are all that are likely to be asked, even in a large group of users.

What are the system requirements for using ALEKS?

[Sec. 3.2] Fig. 10.1 presents the technical requirements for ALEKS in summary form.

Java-Free Courses: For some course products, it is not necessary to install Java or the ALEKS plug-in, and Chromebook can be used: All Elementary School courses, All Middle School courses, Math Intervention, Math for College Readiness, High School Preparation for Algebra 1, Foundations of High School Math,

Prep for IN Algebra 1 ECA, Prep for LA Algebra 1 EOC Assessment, Prep for

10.2. TECHNICAL

PC Macintosh

Operating System Windows

Processor

RAM Memory

Browser

Any

64+ MB

Explorer 8.0+, Firefox 3+,

Chrome 4+

Screen Resolution 800x600 (1024x768 for

Chemistry)

MacOS 10.4+

Any

64+ MB

Safari 4+, Firefox

3+ (Chrome 4+ with some courses)

800x600 (1024x768 for Chemistry)

Figure 10.1: System Requirements

Chromebook (with some courses)

ChromeOS any any

Chrome any

189

PA Algebra 1 Keystone Exam, Prep for TX - STAAR Algebra 1, Prep for MN

Mathematics GRAD, Prep for SC Algebra 1 EOC Examination, Math for College

Success, Prep for GED Mathematics, High School Geometry, Integrated Mathematics I, GPS Integrated High School Math I (GA), Algebra 2, Algebra 2 with

Trigonometry, PreCalculus, Trigonometry, High School Preparation for Algebra 1,

Foundations of High School Math, Mastery of SAT Math, Math Prep for California High School Exit Exam, Prep for FL Algebra 1 EOC Assessment, Prep for FL

Geometry EOC Assessment, Prep for LA Geometry EOC Assessment, Prep for

SC HSAP Mathematics, Prep for TX - STAAR Geometry, Math Prep for TAKS

– HS Exit Exam, Math for 4-Year College Success, Math Review for AP Physics,

Math Review for AP Calculus, Prep for AP Chemistry, and AP Chemistry.

Tablet Courses: iPad (iOS 6+) and some Android Tablet devices (Android 4+) can be used with the following courses: All Elementary School courses, All Middle School courses, Math Intervention, Math for College Readiness, High School

Preparation for Algebra 1, Foundations of High School Math, Prep for IN Algebra 1 ECA, Prep for LA Algebra 1 EOC Assessment, Prep for PA Algebra 1

Keystone Exam, Prep for TX - STAAR Algebra 1, Prep for MN Mathematics

GRAD, Prep for SC Algebra 1 EOC Examination, Math for College Success, Prep for GED Mathematics, Algebra 2 with Trigonometry, PreCalculus, Trigonometry,

Math Prep for TAKS – HS Exit Exam, Math for 4-Year College Success, Math

Review for AP Calculus, Middle School Geometry, Math Prep for California High

School Exit Exam, Prep for FL Algebra 1 EOC Assessment, Support for CA High

School Geometry, CA High School Geometry, High School Geometry, Integrated

Mathematics I, GPS Integrated High School Math I, Algebra 2, Algebra 2 with

Trigonometry, PreCalculus, Trigonometry, Mastery of SAT Math, Prep for FL Geometry EOC Assessment, Prep for LA Geometry EOC Assessment, Prep for SC

HSAP Mathematics, Prep for TX - STAAR Geometry, Math Prep for TAKS – HS

Exit Exam, Math for 4-Year College Success, Math Review for AP Physics, Math

Review for AP Calculus, Prep for AP Chemistry, and AP Chemistry.

Notes:

190 CHAPTER 10. FREQUENTLY ASKED QUESTIONS

Âˆ

Âˆ

Instructors and ALEKS administrators using the Advanced Instructor Module

(“IM1”) are required to have Java and the ALEKS plug-in installed.

Where ALEKS is used on a tablet or without Java and the ALEKS plug-in,

Firefox 10 and higher are supported.

Note that any of the kinds of Internet connection (cable, ISDN, DSL, or wireless) typical in computer labs are adequate for use with ALEKS. If your computer lab has security safeguards in place, you will need the cooperation of your technology administrator to install the ALEKS plug-in.

Where can I get more information on ALEKS? How can I try out the system?

The ALEKS website provides complete information on the ALEKS system, including a Quick Tour, Free Trial use, licensing, history and theory, and technical support.

http://www.aleks.com

## 10.3

## Theory

For those interested in looking beneath the surface, these questions concern the principles on which ALEKS is designed and constructed.

What is the theory behind ALEKS?

[Chapter 9] ALEKS is based on a field of Cognitive Science (Mathematical Psychology) called “Knowledge Spaces” (or “Learning Spaces”). The purpose of research in Knowledge Spaces is to model human knowledge in any subject, using mathematical tools such as Set Theory, Combinatorics, and Markovian Processes, so as to make possible fast and accurate assessment through interactive computer applications. There are numerous scientific publications in the field of Knowledge Spaces dating back to the early 1980’s. A recent, authoritative treatment

(with Bibliography) is Doignon and Falmagne, Learning Spaces (Berlin, Heidelberg: Springer-Verlag, 2011).

What is an “item”?

[Sec. 9.2.1] In Knowledge Space theory, an “item” is a concept or skill to be learned, the mastery of which is captured by a “problem type” serving as the basis for specific assessment and practice problems. Thus the item “Addition of twodigit numbers without carry” might produce the problem (instance) “What is 25 plus 11?”

What is a “domain”?

[Sec. 9.2.1] In Knowledge Space theory, a “domain” is the set of all items making up a particular subject matter, such as Arithmetic. A learner is considered to have mastered the domain when that learner can solve problems corresponding to all the items in the domain.

10.3. THEORY

What is a “knowledge state”?

[Sec. 9.2.2] In Knowledge Space theory, a “knowledge state” is the set of items belonging to a domain that a learner has mastered at some point in time. We speak of knowledge states in relation to a particular learner and a particular domain.

Obviously, a learner’s knowledge changes in time, and the goal of learning is that the knowledge state should eventually include (correspond to) the entire domain.

What is the “outer fringe” of a knowledge state?

[Sec. 9.2.4] In Knowledge Space theory, a learner’s “outer fringe” is the set of items, any one of which can be added to the current knowledge state to make a new, feasible knowledge state. These are the items that the student is considered most “ready to learn.” Progress is made from one state to another through one of the items in the first state’s “outer fringe.”

What is the “inner fringe” of a knowledge state?

[Sec. 9.2.4] In Knowledge Space theory, a learner’s “inner fringe” is the set of items, any one of which can be taken away from the current knowledge state to make a new, feasible knowledge state. These are the items that the student may have learned recently, and thus whose knowledge might need reinforcement.

What is a “knowledge structure”? What is a “knowledge space”?

[Sec. 9.2.3] In Knowledge Space theory, “knowledge structure” or “knowledge space” (the two concepts differ in a technical way) refers to the collection of feasible knowledge states for a particular domain. It is a key point that not all sets of items from the domain (subsets of the domain) are feasible knowledge states. For instance, in mathematics there can be no knowledge state containing the item

“finding the square root of an integer” that does not contain the item “addition of two-digit numbers without carry,” since no one will master the first without having mastered the second.

How was the structure created?

The knowledge structures (or, briefly, “structures”) used by ALEKS are created by analysis of the subject matter and refined on the basis of data obtained from students’ learning experiences. When ALEKS assesses a student, it is actually searching the structure for knowledge states that match the student’s present competence.

What is the educational philosophy behind ALEKS?

The educational use of ALEKS is not tied to any particular theory of education or knowledge acquisition. A key insight underlying ALEKS is the existence of a vast multiplicity of diverse “learning paths” or sequences of topics by which a field can be mastered. Based on an inventory of knowledge states that numbers in the tens of thousands (for the subjects currently covered by ALEKS), the specialized tools of

Knowledge Space theory make it possible for the system to accommodate literally billions of possible individual learning paths implied by the relations among states.

ALEKS does not embody a particular philosophy of teaching mathematics; it is compatible with any pedagogical approach.

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## 10.4

## Assessments and Reports

Much of the power of ALEKS comes from its capacity for accurately and efficiently assessing the current state of a learner’s knowledge.

What is an ALEKS assessment?

[Chapter 4] An assessment by the ALEKS system consists of a sequence of mathematical problems posed to the student. The answers are in the form of mathematical expressions and constructions produced by the system’s input tools (no multiple choice). The student can answer “I haven’t learned this yet” where necessary. During an ALEKS assessment, the student is not told whether answers are correct or incorrect. The assessment is adaptive. Each question after the first is chosen on the basis of answers previously submitted. Assessment problems (like practice problems) are algorithmically generated, with random numerical values.

The length of the assessment is variable, between 15 and 35 questions. There are no time constraints, but some assessments can take less than a half-hour and a few more than an hour and a half. Students taking an assessment need to have paper and pencil. The ALEKS calculator button will become active when use of a calculator is permitted.

No help whatsoever should be given to students taking an assessment, not even rephrasing problems. Outside help can easily lead to false assessment results and hinder subsequent work in the ALEKS Learning Mode.

Students may be assessed when they first register with ALEKS. It is advisable that all assessments from which the instructor uses data for grading or a similar purpose take place under the instructor’s supervision. At a minimum, the Initial

Assessment should be supervised.

How does the ALEKS assessment work?

[Sec. 9.2.5] In assessing a student’s knowledge, the system is in fact determining which of the feasible knowledge states for that subject correspond to the student’s current knowledge. The assessment is probabilistic, so it is not fooled by odd careless errors. (Lucky guesses are very rare, because multiple choice answers are not used.) Likelihood values (values for the likelihood that the student is in a particular knowledge state) are spread out over the states belonging to the structure. With each correct answer, the likelihood of states containing the item for which a correct answer was given is raised and that of states not containing the item lowered. The reverse occurs for incorrect answers or “I haven’t learned this yet.” At each step of the assessment, the system attempts to choose an item for which it estimates, based on current likelihood values, that the student has about a fifty-fifty chance of success; such questions are maximally informative. When the likelihood values of a few states are extremely high and those of all the rest are extremely low—in technical terms, when the entropy of the structure is lower than a certain threshold value—the assessment ends and results are produced.

If a student makes a careless error or lucky guess, this will appear inconsistent

10.5. LEARNING MODE with the general tendency of the student’s responses, and the system will “probe” that area of knowledge until it is sure. For this reason, inconsistent assessments may require more questions.

How should I interpret the assessment report?

[Sec. 4.12] The results of an ALEKS assessment are shown in the form of a colorkeyed pie chart. A pie chart corresponds to a subject matter (domain) or to the curriculum of a particular class. Each slice of the pie corresponds to a general topic. The degree to which the slice is filled in with solid color shows how close the student is to mastering that area.

An extremely important aspect of the pie chart is its indication of what a student is currently most “ready to learn” (that is, the “outer fringe” of the student’s current knowledge state). These items are listed beneath the pie chart in an Assessment

Report and are also given through the pie chart itself. When the mouse pointer is placed over a slice of the pie, a list expands out of the pie, showing the concepts that the student is most “ready to learn” in that part of the curriculum. Clicking on any of these concepts takes the student into the Learning Mode.

The pie chart is displayed following assessments, after a concept has been worked on in the Learning Mode, or when a student clicks on “MyPie” to change topics.

At any given time, a student can only choose to work on concepts that the student is currently “ready to learn.” This number may vary between two and a few dozen, depending on what part of the structure is involved.

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## 10.5

## Learning Mode

Students spend by far the greatest part of their time in ALEKS in the Learning Mode.

The features of the Learning Mode are designed to provide a maximum of support to the student’s growing mastery of course materials.

What is the Learning Mode?

[Chapter 5] The Learning Mode in ALEKS contains features to help students practice and master specific mathematical concepts and skills. In the Learning

Mode, students are always working on a specific concept that they have chosen and that, in the system’s estimation, they are fully prepared to master. If the learner successfully solves an appropriate number of problems based on that concept, the system will tentatively determine that it has been mastered and offer a new choice of topics. If the student has difficulty, the system will attempt to diagnose and interpret the student’s errors. It will also provide explanations of how to solve problems and definitions of mathematical terms. It may suggest the name of a classmate who can help. If the student is unable to master the concept right now, or if the student wishes to change topics, a new choice of topics will be offered.

After a certain amount of time has been spent in the Learning Mode, or after a certain amount of progress has been made, the student will automatically be reassessed.

194 CHAPTER 10. FREQUENTLY ASKED QUESTIONS

What is the relationship between the Assessment Mode and the Learning

Mode in ALEKS?

The Assessment and Learning Modes work together in a cyclical fashion, beginning with the Initial Assessment. A student is assessed, and the results of the assessment serve as a basis for the student’s entry into the Learning Mode (the student works on concepts that the assessment showed that student most “ready to learn”). After a certain time in the Learning Mode, during which the results of the previous assessment are tentatively updated according to whether the student masters or fails to master new concepts, the student is reassessed and the cycle begins again.

In this sense, ALEKS is an interactive learning system guided and powered by ongoing diagnostic assessment.

NOTE. Students who do not take an Initial Assessment will begin this cycle in

Learning Mode.

## 10.6

## Educational Use

ALEKS also provides a full range of features for successful integration into a variety of teaching styles and class plans.

What is the best way to use ALEKS with my class?

The greatest factor in successful use of ALEKS is regular, structured use, with close monitoring of student progress by the instructor. We recommend scheduling regular lab sessions with ALEKS, totalling at least three hours per week, as part of your class requirements. Not every lab session need be supervised by the instructor, but the Initial Assessment should be. Any other interim and concluding assessments scheduled specially by the instructor normally should also be supervised.

There has been successful use of ALEKS in a very wide variety of contexts and structures, including independent study. ALEKS Corporation is happy to consult with instructors on the best way to use ALEKS with their students. Also, extensive materials on implementation strategies in ALEKS are available on the ALEKS website.

Can ALEKS be used with handicapped and learning-disability students?

Is ALEKS a remedial tool?

ALEKS is designed to help all students who can read sufficiently to understand what is being displayed on the screen, and who can use a computer. It has been used successfully with students exhibiting a range of learning disabilities. Students with reading difficulties can also use it, provided that there is someone on hand to help them as needed. The system does not currently contain facilities for audio output.

What burden will ALEKS place on our computer lab and Lab Director/LAN Administrator?

10.6. EDUCATIONAL USE

Normally ALEKS requires very little support from local computer technicians, given the automatic installation and maintenance of the ALEKS plug-in. Most of the time, however, the lab administrator will need to assist with installation in order to overcome security obstacles (school computer labs often prevent students from installing their own software). In some cases, the presence of a “firewall” or other security measures may require some action on the technician’s part for successful installation. Again, ALEKS Corporation stands ready to assist with problems of this nature.

Does ALEKS need to be used with a particular textbook or curriculum?

ALEKS is designed to be used with any program, curriculum, or textbook. The system may also be referenced or linked to a textbook or online applications for particular classes. The fundamental idea of the ALEKS system is to allow students to pursue individualized paths to mastery of the subject matter. For this reason instructors may often find their students learning material that has not yet been covered in the class.

Does ALEKS have special features for educators?

[Chapter 7] Students’ use of ALEKS and their progress toward mastery can be monitored using the features of the Instructor Module. The Instructor Module also enables instructors and administrators to establish the programs and standards used by ALEKS, to configure accounts, to find statistics on school district use, and to exchange messages. A instructor or administrator who has been registered with ALEKS enters the Instructor Module immediately upon login.

How can I contact ALEKS Corporation Customer Support?

[Sec. 11] You can contact ALEKS Corporation using the information in Chapter

12 of this manual. Students should approach their instructor first with any questions or problems regarding the use of ALEKS. Questions the instructor cannot answer should be brought to our attention.

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196 CHAPTER 10. FREQUENTLY ASKED QUESTIONS

# Chapter 11

# Support

NOTE. Troubleshooting information is found in Appendix A.10 of this Instructor’s Guide. Most problems can be resolved using this brief reference.

Current information on ALEKS is available at the ALEKS website: http://www.aleks.com

Technical support and consultation on the effective use of ALEKS is provided to educators by ALEKS Corporation Customer Support. Please contact the support group via the web: http://support.aleks.com

by telephone:

(714) 619-7090 or by fax:

(714) 245-7190

NOTE. We ask that students using ALEKS not contact us directly, but approach their instructors first. It is hoped that the information in this Instructor’s Manual will enable instructors to answer many of their students’ questions.

We also welcome any and all comments and feedback on ALEKS. Here is our mailing address:

ALEKS Corporation Customer Support

15460 Laguna Canyon Road

Irvine, CA 92618

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198 CHAPTER 11. SUPPORT

# Appendix A

# ALEKS Student User’s Guide

## A.1

## Preface

Welcome to ALEKS, one of the most powerful educational tools available for learning mathematics.

ALEKS combines advanced learning technology with the flexibility of the Internet, and provides an interactive tutoring system with unmatched features and capabilities.

ALEKS was developed with support from the National Science Foundation. It is based on a field of Mathematical Cognitive Science called Knowledge Spaces, which models human knowledge for precise assessment and efficient learning in interactive computer programs.

Based on your assessment results, ALEKS will understand what you know, what you don’t know, and most importantly, what you are ready to learn. ALEKS provides individualized, one-on-one instruction that fits your exact knowledge state and helps you select the ideal topics to work on next. That way you will learn concepts in the order that’s best for you. As you learn, ALEKS constantly challenges you and supplies extensive feedback on what you have accomplished.

Since ALEKS is available on the Internet, it fits any busy schedule. To get started immediately, you may refer to the Quick Start Instructions below. More detail is provided in the subsequent sections.

Also, your instructor can help you register and begin using ALEKS. ALEKS includes online instructions and feedback and is designed for use without help from a manual.

If you need additional information, refer to this booklet or contact ALEKS Customer

Support.

NOTE. Two or more students cannot use the same ALEKS account. ALEKS will regard them as a single person and give incorrect guidance.

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## A.2

## Quick Start Instructions

APPENDIX A. ALEKS STUDENT USER’S GUIDE

This section provides concise information to help you get started quickly in ALEKS.

System Requirements

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PCs must have at least 64 MB of RAM and Windows. Compatible browsers are Internet Explorer 8.0 or higher, Firefox 3 or higher, and Chrome 4 or higher.

PowerMacs or iMacs must have at least 64 MB of RAM and operating system

Mac OS 10.4 or higher. Compatible browsers are Safari 4 or higher and Firefox

3 or higher.

With certain course products, it is not necessary to install Java or the ALEKS plug-in, and Chromebook can be used: All Elementary School courses, All

Middle School courses, Math Intervention, Math for College Readiness, High

School Preparation for Algebra 1, Foundations of High School Math, Prep for

IN Algebra 1 ECA, Prep for LA Algebra 1 EOC Assessment, Prep for PA

Algebra 1 Keystone Exam, Prep for TX - STAAR Algebra 1, Prep for MN

Mathematics GRAD, Prep for SC Algebra 1 EOC Examination, Math for College Success, Prep for GED Mathematics, High School Geometry, Integrated

Mathematics I, GPS Integrated High School Math I (GA), Algebra 2, Algebra

2 with Trigonometry, PreCalculus, Trigonometry, High School Preparation for

Algebra 1, Foundations of High School Math, Mastery of SAT Math, Math

Prep for California High School Exit Exam, Prep for FL Algebra 1 EOC Assessment, Prep for FL Geometry EOC Assessment, Prep for LA Geometry

EOC Assessment, Prep for SC HSAP Mathematics, Prep for TX - STAAR

Geometry, Math Prep for TAKS – HS Exit Exam, Math for 4-Year College

Success, Math Review for AP Physics, Math Review for AP Calculus, Prep for AP Chemistry, and AP Chemistry.

With certain course products, iPad and some Android Tablet devices can be used: All Elementary School courses, All Middle School courses, Math Intervention, Math for College Readiness, High School Preparation for Algebra 1,

Foundations of High School Math, Prep for IN Algebra 1 ECA, Prep for LA

Algebra 1 EOC Assessment, Prep for PA Algebra 1 Keystone Exam, Prep for TX - STAAR Algebra 1, Prep for MN Mathematics GRAD, Prep for SC

Algebra 1 EOC Examination, Math for College Success, Prep for GED Mathematics, Algebra 2 with Trigonometry, PreCalculus, Trigonometry, Math Prep for TAKS – HS Exit Exam, Math for 4-Year College Success, Math Review for AP Calculus, Middle School Geometry, Math Prep for California High

School Exit Exam, Prep for FL Algebra 1 EOC Assessment, Support for CA

High School Geometry, CA High School Geometry, High School Geometry,

Integrated Mathematics I, GPS Integrated High School Math I, Algebra 2,

Algebra 2 with Trigonometry, PreCalculus, Trigonometry, Mastery of SAT

Math, Prep for FL Geometry EOC Assessment, Prep for LA Geometry EOC

A.2. QUICK START INSTRUCTIONS

Assessment, Prep for SC HSAP Mathematics, Prep for TX - STAAR Geometry, Math Prep for TAKS – HS Exit Exam, Math for 4-Year College Success,

Math Review for AP Physics, Math Review for AP Calculus, Prep for AP

Chemistry, and AP Chemistry.

Internet Access Requirements

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ALEKS is used over the Internet. It functions well with a connection of at least 56K.

Java Installation

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Java may need to be installed and enabled in order for ALEKS to function.

Please see Sec. A.2 for details on which ALEKS classes require Java. If Java is required for your ALEKS class we recommend there be a single installation of a recent version of Java.

The ALEKS Plug-in

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The ALEKS plug-in may be required for the use of ALEKS. Please see Sec. A.2

for details regarding which ALEKS classes require the ALEKS plug-in. It is normally installed as an automatic part of the registration or login process.

The ALEKS plug-in can also be downloaded from the ALEKS website by clicking on DOWNLOADS.

The ALEKS Tutorial

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The ALEKS Tutorial shows how to input answers in ALEKS. Taking the time to learn this is important in order to use ALEKS efficiently.

Initial Assessment

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Your ALEKS Initial Assessment will determine what topics you already know, the topics that you don’t yet know, and, most importantly, those you are ready to learn.

Here is some additional information about the assessment:

1. It consists of about 20-30 open-response questions (not multiple choice).

2. It has no time limit. You may take breaks or stop the assessment and return to ALEKS at another time.

3. You should have a pencil and paper with you in order to work through the problems.

You should not seek or receive any help during assessments. If you receive help, ALEKS will get a wrong idea of what you are most ready to learn, and will present you with material you are not ready to learn. This will hold up your progress in ALEKS.

You should do your best on all questions. Do not click the I haven’t learned this yet button when answering a question unless you truly have no idea how to do the problem. When you click the I haven’t learned this yet button,

ALEKS assumes that you don’t know how to do the problem type and possibly some of its prerequisite topics.

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202 APPENDIX A. ALEKS STUDENT USER’S GUIDE

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You should not use your browser’s Back and Forward buttons while logged on to ALEKS. Doing so will not help you make progress and may cause temporary software errors.

ALEKS will not provide feedback when you are taking the Initial Assessment in ALEKS. No messages will be displayed indicating whether you answered correctly or incorrectly during any of the assessment questions in ALEKS.

External calculators should not be used; the ALEKS Calculator button will become active when calculator use is appropriate.

Assessment Results

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Assessment results are presented in the form of a color-coded pie chart.

Slices of the pie chart correspond to parts of the program.

The relative size of the slices reflects the importance of each topic area for the program.

The darker part of each slice indicates the portion of the topics already mastered. The lighter part of each slice indicates the portion of topics still to be learned.

The topics that you are ready to learn will be listed as you place the mouse pointer over each slice.

Not all slices will contain available concepts at any given time. They may have been mastered already, or work may need to be done in other slices before they become available.

You may choose any topic listed and begin learning.

Learning Mode

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Clicking on the MyPie icon, in the upper left corner of your screen, will display your pie chart and allow you to work in the ALEKS Learning Mode.

Topics you are ready to learn will appear in the pie slices.

It is possible your ALEKS class will include Chapters/Objectives that should be completed by a specific date. The Chapter/Objective will include topics in your pie chart indicated by white dotted lines in some or all of your pie slices.

ALEKS will display a message under your pie chart indicating how many topics you have remaining in the Chapter/Objective and the due dates.

Guidelines for Effective Use

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You should have pencil and paper ready for all assessments and for use in the

Learning Mode.

The basic calculator included in ALEKS will only become active and available for use when appropriate.

To maximize successful learning, ALEKS should be used regularly, and for at least three hours per week.

You will be given additional assessments each time you have learned about 20 topics or spent about 10 hours in ALEKS (since the previous assessment).

A.3. REGISTRATION AND INSTALLATION

## A.3

## Registration and Installation

In order to register as an ALEKS user, you need a Class Code (10 characters) provided by your instructor. When you register with ALEKS, your name is entered into the database, and records of your progress are kept.

1. Go to the ALEKS website: http://www.aleks.com

When entering this URL, pay careful attention to the spelling of aleks.

203

Figure A.1: The ALEKS Website

2. Click on SIGN UP NOW! on the left of the page, under the space for Registered

Users (Fig. A.1).

3. At the beginning of Registration you will be asked for your Class Code. The

Class Code is supplied by your instructor. Enter this in the spaces provided, on the left-hand side of the window, and click on Continue (Fig. A.2).

4. Next, ALEKS will check whether you have ever used ALEKS before. Check the appropriate response and click on Continue. If you have used ALEKS before, you will be prompted to enter in your ALEKS login name and password before moving on.

5. Enter your personal information and choose a Password. Supplying this information enables your site administrator to help you with problems more quickly. You will also be able to enter your Student ID number.

204 APPENDIX A. ALEKS STUDENT USER’S GUIDE

Figure A.2: Class Code

6. At the end of registration you will be given a Login Name. You will need the

ALEKS Login Name and your Password to return to ALEKS (Sec. A.6.5).

Your Login Name and Password can be typed with upper- or lower-case letters.

Neither may contain spaces or punctuation. If you forget your Password, click on the link Forgot your login info? located underneath the Password field on the

ALEKS home page.

7. When you enter your Login Name and Password on the ALEKS home page,

ALEKS will check to see if your ALEKS class requires the ALEKS plug-in. If your class requires the plugin and your computer does not have it installed, one will be installed. Do not interrupt this process until a message appears saying that the installation is complete. Then you will need to quit your web browser (Exit,

Close, or Quit under the File menu), open your web browser again, and go back to the ALEKS website (use your Bookmark/Favorite).

8. You will need to wait for your instructor’s authorization before starting to use your new account. If you need to log off now, you can log back on later using your Login

Name and Password. As soon as your instructor authorizes your registration, you will be able to start using ALEKS by beginning the Tutorial.

## A.4

## Student Account Home

After completing the registration process, you will be taken to the ALEKS Tutorial for your class. To access the Student Account Home, click on your name in the upper right corner and select Account home. The Student Account Home groups all ALEKS student accounts for a single student under the same umbrella account. This allows

A.4. STUDENT ACCOUNT HOME 205

Figure A.3: Student Account Home Main Screen students to manage and add more ALEKS classes to their umbrella account rather than creating separate accounts for each ALEKS class. Students will also only need to remember one Login Name and Password. If you are enrolled in more than one ALEKS class at the same time, you will be taken to the Student Account Home when you log in. Otherwise, you will be taken directly to your class.

The Student Account Home lists your current and past ALEKS classes, and includes options to sign up for new classes, switch classes, download summary reports, and continue working on an expired account as an independent user.

A.4.1

Account Management

When you arrive at the Student Account Home main screen, you have the following options available to you:

Account Settings

To access your account settings, click on your name in the upper right corner of the

Student Account Home main screen, and select Account settings. The pop-up window displays information both for the umbrella account and for the school that you attend. This information includes your name, Student ID number, and the email address linked to the account. The email address is the only editable entry.

206 APPENDIX A. ALEKS STUDENT USER’S GUIDE

Figure A.4: Student Account Home Settings

To return to the main screen, click on the Save button (if changes were made to the email address) or on the Cancel link.

Adding a New Class

You can add a new class by clicking on the button Sign up for a new class

(Fig. A.3). You will be prompted to enter the class code for the new class. Once the new class has been added, it will be displayed in the ACTIVE section on the

Student Account Home main page, along with any other active courses.

NOTE. Sign up for a new class differs from Switch to a new class in that it will create a new account running in parallel to any existing active accounts.

Active Classes

All classes in which you have an active account will be listed here. You will see the name of the class, the name of the instructor, the date you last logged in to the account, and the date your access to the class will expire. Additional information can be accessed by clicking on the Show more link, including the Class Code, the Reference ID for the account, the date the account was started, the amount of time spent in the class, and the current level of progress.

Inactive Classes

The INACTIVE section will display a list of your classes that are no longer active.

The same class information that is displayed in the ACTIVE courses is available here.

Accessing a Class

You can access an active class by clicking on the class name. You will be taken to your pie chart for that class and will be able to work on topics. To return to the

Student Account Home main screen, click on your name in the upper right corner and select the Account home option. To completely log out, choose the Log out option after clicking on your name.

A.5. TUTORIAL

A.4.2

Class Management

Different options are available, depending on whether a class is ACTIVE, INACTIVE, or Pending Instructor Authorization:

ACTIVE Class Options

The following options are available for ACTIVE classes:

Switch class

You can switch to a new class by entering a new class code. When you do this, the new class will become active and the previously active class may appear under INACTIVE (see below).

NOTE. Switch class differs from Sign up for a new class by moving your account into a new class while still using the same subscription. After switching, the information for your old class will be visible in the INACTIVE box.

INACTIVE Class Options

The following options are available for INACTIVE classes:

Summary Report

Clicking on the Summary Report link will give you access to a PDF report displaying the pie chart and learning history progress achieved in the inactive class.

Continue this class on your own

You can continue your work in an inactive class as an independent user by clicking on the Activate link and following the registration prompts. This option should only be used if you wish to use ALEKS outside of the framework of a class.

Pending Instructor Authorization

The following options are available for classes where you are waiting for your instructor to authorize your enrollment:

Switch class

If your instructor had you register your ALEKS account through the ALEKS website, using a class code, you may see your account pending authorization the first time you log in. If you mistakenly enrolled into the wrong class, you can switch into the correct class using the Switch class link and the class code of the class you need to move into.

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## A.5

## Tutorial

ALEKS avoids multiple-choice questions. Most answers are complete mathematical expressions and constructions. After Registration, the ALEKS Tutorial will teach you how to enter your answers in ALEKS (Fig. A.5). There is plenty of feedback to help

208 APPENDIX A. ALEKS STUDENT USER’S GUIDE

Figure A.5: The Answer Editor (Tutorial) you complete it successfully. The Tutorial is not intended to teach mathematics. It just trains you to use the ALEKS input tool (called the Answer Editor). Online help is also available while you are using ALEKS; just click the Help button, which gives you access to the sections of the Tutorial.

## A.6

## Assessments and Learning

A.6.1

Assessments

Instruction through ALEKS is guided by precise understanding of your knowledge of the subject. This information is obtained by assessments in which ALEKS asks you to solve a series of problems. (ALEKS’s estimate of your knowledge is also updated when you make progress in the Learning Mode.) Your Initial Assessment occurs immediately after the ALEKS Tutorial.

NOTE. Your instructor may require that the Initial Assessment be taken under supervision. Don’t try to begin your Initial Assessment at home until you find out where your instructor wants you to take it. Additional assessments may be scheduled for you by the instructor. These may or may not need to be supervised, depending on the instructor’s preference. ALEKS also prompts automatic re-assessments when you have spent a certain amount of time in ALEKS or have made a certain amount of progress.

A.6.2

Results

Assessment results are presented in the form of a color-coded pie chart. Slices of the pie chart correspond to parts of the program. The solidly colored part of a slice indicates

A.6. ASSESSMENTS AND LEARNING how close you are to mastering that part of the program; the lighter portion represents the material you have left to master.

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A.6.3

Learning Mode

Figure A.6: Assessment Report

Following the presentation of assessment results, ALEKS will introduce you to a pie chart navigation tool (MyPie) (Fig. A.6). By placing the mouse pointer over slices of the pie, you can see which concepts you are now most ready to learn. Not all slices will contain concepts at any given time. They may have been mastered already, or work may need to be done in other slices before they become available. The concept you click on becomes your entry into the Learning Mode. ALEKS will help you to master that concept and add it to your pie.

A.6.4

Progress in the Learning Mode

In the Learning Mode, you are given problems based on the chosen topic. Additionally, you have access to explanations of how to solve the particular kind of problem and to a dictionary of mathematical concepts. Underlined mathematical terms are links to the Dictionary. Click on any term to get a complete definition. ALEKS will require a number of correct answers before it assumes that you have mastered the concept. When the topic is mastered, ALEKS will add the topic to your pie. At that point, a revised pie chart will be shown reflecting your new knowledge. You will be able to choose a new concept to begin. If you make mistakes, more correct answers may be required. If

210 APPENDIX A. ALEKS STUDENT USER’S GUIDE you tire of the topic and wish to choose another, you can click on MyPie near the top of the window. If you make repeated errors on a concept, the system will conclude that the concept was not mastered, and will offer you a new choice of other concepts.

A.6.5

Additional Features

All buttons described below are available in the Learning Mode. In the Assessment

Mode, certain buttons may be temporarily inactive.

For online help with the use of the Answer Editor, click Help.

To participate in class discussions, click Class Forum.

To print out an individualized homework sheet based on your most recent work in

ALEKS, use the Worksheet button.

Your instructor can send you messages via ALEKS. You see new messages when you log on. You can also check for messages by clicking on Inbox (Sec. A.6.6).

ALEKS provides a way to send your instructor a specific problem you are working on in ALEKS. Your instructor can choose to let you reply to messages as well.

Any time you wish to look at your assessment reports, click on Report. Choose any date from the drop-down menu and click OK.

This page gives you the option to forward your ALEKS messages to your email account. This page also shows the total number of hours you have spent using

ALEKS.

To access any special resources posted to your class by your instructor, click on the Resources button. This button will only be available if resources have been posted to your class.

To end your ALEKS session and exit, click on your name (top right), and select

Log out from the drop-down menu.

Clicking MyPie gives you a pie chart summarizing your current mastery. You can use this pie chart to choose a new concept.

To review past material, use the Review button.

A.6. ASSESSMENTS AND LEARNING

To search the online Dictionary of mathematical terms, click Dictionary. You can also click on hyperlinked terms in the ALEKS interface to access the Dictionary.

To access the online ALEKS Calculator, use the Calculator button. This button will be inactive for material where the use of a calculator is not appropriate. When this button is inactive, do not use any calculator.

To see the results of assignments you have taken in ALEKS or to begin a pending assignment, use the Assignments button. If assignments are currently available, you will see an orange burst on the Assignments button.

To access the Gradebook for your class, click on the Gradebook button.

To access the Calendar for your class, click on the Calendar button.

A.6.6

ALEKS Inbox

The Inbox allows you to send messages to your instructor if you need assistance with a topic or problem in ALEKS. To compose a message, click Compose. There is an option to include mathematical notation in your messages.

To include mathematical notation and illustrations:

1. Click the math tab at the right end of the tool bar. This switches you to the

Enhanced message editor, with a robust set of math input tools.

2. Click on the Graphs tab for graphing tools, or on Algebra, Trig, Matrix, or

Stat for symbolism specific to these areas.

While working in the Learning Mode, you can send a specific problem type to your instructor for assistance. This will include a link in the message, showing a screenshot of the practice problem that you see on your screen.

To attach a specific problem, make sure the practice problem is still on the screen, then:

1. Click on the Inbox link. This will take you into the ALEKS Message Center.

2. Click on the Compose button.

3. Below the body message section, check the box next to Attach Page.

4. Click on the Send button to send the message.

You also have an option to include attachments in your messages. The attachments can be up to 2MB in size.

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212 APPENDIX A. ALEKS STUDENT USER’S GUIDE

## A.7

## Guidelines for Effective Use

Please take note of the following important suggestions for successful use of ALEKS.

Supplementary Materials

You should have pencil and paper ready for all assessments and for use in the

Learning Mode. Basic calculators should be used only when you are instructed to do so. (A basic calculator is part of ALEKS.)

Assessments

You should not ask for any help during assessments. Even explanations or rephrasing of problems are not permitted. If you receive help, ALEKS will get a wrong idea of what you are most ready to learn, and this will hold up your progress. If you are sure you don’t know the answer, click I haven’t learned this yet.

Learning Mode

You should learn to use the special features of the Learning Mode, especially the explanations and the Dictionary.

Review

Whenever ALEKS suggests topics for you to review, you should review them.

Spending a few minutes daily on such review will help you retain what you have learned and do well on reassessments.

Regular Use

Nothing is more important to your progress than regular use of ALEKS. Three hours per week is a recommended minimum; five or more are normal in many cases.

## A.8

## QuickTables

Figure A.7: ALEKS QuickTables

A.8. QUICKTABLES

QuickTables is a special tool in ALEKS for learning the math facts of Addition, Subtraction, Multiplication, and Division. It is available as part of ALEKS classes, or as a separate class in ALEKS.

When you log in to an ALEKS class where QuickTables is enabled, you will see the

QuickTables link in the top bar menu. Clicking on this link will switch you into the

QuickTables environment. To begin using QuickTables, click on the OK button under the Welcome message (Fig. A.7).

The first time you use QuickTables, you will have a short training session before starting to practice. The purpose of the training is to make sure that you are comfortable typing and entering numbers in ALEKS. There will be a series of quick drills in which you are asked to type numbers that appear on the screen. If you make a mistake, QuickTables will stop to let you correct it. You can enter the numbers by pressing either your computer’s Enter key or the Space bar (the long bar at the bottom of the keyboard).

You will need to enter the numbers quickly; QuickTables wants you to learn the math facts so well that you can answer easily and smoothly. If you prefer to click numbers using the onscreen keypad, contact your instructor to turn on this feature.

After this training, you will begin a test or assessment of what you know now about the math facts. Do not be anxious about this test; just relax and do your best. The results of the test will tell QuickTables where you should start off in your math facts table.

This Initial Assessment test must be finished in one login session. Logging out before it is complete will require restarting the test.

You may have more than one table set up. If so, you will see different tabs on your screen with the names of the tables: Addition, Subtraction, Multiplication, Division.

Simply click on the tab for the table you wish to work in. You will need to take a brief test when you first start working in any table.

213

Figure A.8: QuickTables Learning Display

Once you finish the test, you will see a colored display that shows all the facts in the table (Fig. A.8). The colors in the cells show whether you have learned that fact, and

214 APPENDIX A. ALEKS STUDENT USER’S GUIDE how well you know it. In general, you will see that the colors fill in through the table diagonally, from the top left corner down. The hardest facts are the ones you get to last, down in the lower right-hand corner. You will have fun filling in this table!

Also, to the right of the table is a thermometer that gives your overall percentage of the table. Notice that there are gold stars on the thermometer. Every time you fill in to one of these stars, there will be a new game for you to play. You earn the games by the progress that you make filling in your table. Any time you want to play a game that you have earned, click on the green button marked Games at the top of the window.

These are fun games that give you extra practice on the math facts that you have been learning.

NOTE. You will only be able to use QuickTables for a certain amount of time on any day, and only a certain number of times per week. These limits are set for the best possible progress in learning and remembering math facts.

## A.9

## Frequently Asked Questions

For further information on any of these questions, follow the references provided to other sections of this guide.

What are the rules for taking an assessment in ALEKS?

[Sec. A.7] You must have paper and pencil when taking an assessment in ALEKS.

A basic calculator should be used only when you are instructed to do so. A basic calculator may be provided for some questions. No help whatsoever is permitted, not even rephrasing a problem.

During the assessment, you will not be given feedback about your answers. The assessment is not a test. Its main purpose is to determine what you are most ready to learn and help you make the best possible progress toward mastery.

How do I add concepts to my pie?

[Sec. A.6.4] You fill in your pie and achieve mastery in the subject matter by working in the Learning Mode on concepts and skills that the assessment has determined you are most ready to learn. When you master a concept in the

Learning Mode by successfully solving an appropriate number of problems, you will see that your pie chart has been changed by the addition of that concept. The goal is to fill the pie in completely.

Why is it that I mastered all the concepts in the Learning Mode, but my assessment still says I have concepts to learn?

In the Learning Mode, you are always working on one concept at a time, whereas assessments are cumulative and evaluate you on everything in the given subject matter. It may be more difficult to show mastery of concepts you have recently worked on, when you are being quizzed on many different topics at the same time.

For this reason, your assessment results may not exactly match what you had

A.9. FREQUENTLY ASKED QUESTIONS mastered in the Learning Mode. This is normal and simply means that you should keep working in the system. (Sometimes the opposite also occurs, and progress in the assessment turns out to be faster than in the Learning Mode.)

Why doesn’t my pie chart show any concepts from a slice if I haven’t filled in that slice yet?

[Sec. A.6.3] You are completely ready to learn a set of concepts or skills when you have mastered all the prerequisite concepts or skills for them. For example, in order to learn addition of two-digit numbers with carry you might have to first learn addition of two-digit numbers without carry and nothing else.

Your pie chart will not offer you concepts to work on if you are not ideally ready to begin learning them, that is, if they have prerequisites you have not yet mastered.

For this reason, your pie chart may show that you have mastered only 8 out of

10 concepts for a particular slice of the pie (a particular part of the curriculum), but the pie chart says you have no concepts available from that slice to work on.

This means that the concepts left to master have prerequisites in other areas of the curriculum that you must master first. Keep working in the other slices, and eventually the concepts in that slice will open up.

How can I best use the Learning Mode to help me learn?

[Sec. A.6.4] In the Learning Mode, you should do your best to solve the problems that are offered to you. You should not change topics casually or stop before the system tells you that you are done.

The Learning Mode will always tell you if your answer is correct or not. In many cases it will provide information on the kind of error you may have made. You should pay attention to this feedback and be sure to understand it.

At the bottom of the Explanation page you have the Practice button, and sometimes other options for more detailed explanations and help. The Explanation page may also contain a link or reference to a textbook used with the class. If you click the Practice button following an explanation, you are offered a different problem of the same type, not the one whose solution was explained. In order to master the concept and add it to your pie, you must successfully solve a certain number of practice problems. If you wish to choose a new concept, you can click the MyPie button on the ALEKS menu bar.

You should not use your browser’s Back and Forward buttons while logged on to ALEKS. Doing so will not help you make progress and may cause temporary software errors.

Keep in mind that ALEKS is always giving you material that, in its estimation, you are ideally ready to learn. It does not offer material you have already mastered, except in the Review mode. To go back to concepts you have already worked on, click the Review button on the ALEKS menu bar.

How does ALEKS create problems?

ALEKS creates problems in both Assessment and Learning Mode by means of computer algorithms, based on the definition of a particular concept or skill to be

215

216 APPENDIX A. ALEKS STUDENT USER’S GUIDE mastered. Thus, a particular concept or problem-type may serve as the basis for a very large number of specific problems, each with different numerical values and sometimes (as in application problems) differing in other ways as well.

Why is ALEKS giving me a new assessment?

[Sec. A.6.1] New assessments may be prompted automatically by ALEKS when you have spent sufficient time in the Learning Mode or when you have made adequate progress.

Your instructor may also request an assessment for you personally, or for everyone in the class. In this case it may be stipulated that the assessment must be taken at school. (If you attempt to work at home when an assessment has been ordered to be done at school, ALEKS will deny access and tell you that you need to log on from school.)

Why do I need to take the Tutorial to use ALEKS?

[Sec. A.5] The Tutorial is a brief interactive training program that teaches you to use the ALEKS input tools, or Answer Editor. ALEKS requires that answers be given in the form of numbers, mathematical expressions and geometrical and other constructions. The Answer Editor is a flexible set of tools enabling you to provide such answers. Although the Answer Editor is easy to use, the Tutorial will make sure you are completely proficient with it before beginning the ALEKS system. The Tutorial guides you through every step of learning to use the Answer

Editor.

What can I do if I make a mistake entering an answer?

If you make an error entering an answer with the Answer Editor, you should click on Undo to go back one step, or on Clear to start over. You can also use the

Backspace key on your keyboard in the usual way.

NOTE. You cannot use Undo or the Back button on your browser to go back if you have submitted an answer by clicking on Next. If you realize that the answer you submitted is incorrect, don’t be concerned; the system will most likely recognize this as a careless error based on your other answers and make allowances for it.

What are the icon buttons for?

They are used to enter mathematical symbols and to create forms for mathematical expressions. In some cases the keyboard equivalents for icon buttons can be used.

How do I get help on using ALEKS?

[Sec. A.6.5] You can get help using the Answer Editor by clicking the Help button on the ALEKS menu bar.

Can my instructor or friend help me (or can I use a calculator) in the

Learning Mode?

[Sec. A.7] Help and collaboration are allowed in the Learning Mode. Keep in mind, however, that if you get too much help, the system will start giving you problems that you are not prepared to solve.

A.9. FREQUENTLY ASKED QUESTIONS

You need paper and pencil for the Learning Mode, just as you did for the assessment. ALEKS provides a calculator when appropriate; when the Calculator button is active, the use of the calculator is permitted.

Why are some of the words I see hyperlinked?

[Sec. A.6.5] Underlined words in the Learning Mode are links to the online Dictionary. You can click on any hyperlinked word to see its definition. You can also access the Dictionary by clicking the Dictionary button on the ALEKS menu bar.

The Dictionary is not available during assessment.

Note that the Dictionary is opened in a new window. When you are finished reading the definition, you can close or minimize the window, and you will see the previous screen.

How can I change my Password?

[Sec. A.3] You can change your ALEKS password by going to the ALEKS website: http://www.aleks.com and clicking on the Forgot your login info? link. As long as you have an email connected to your ALEKS account you will receive an email with your ALEKS login name and a link to reset your password. If no email address is connected to your ALEKS account please see your instructor to retrieve your password.

How can I review material I have already worked on?

[Sec. A.6.5] You can click on the Review button to work on material you have already spent time on.

How can I choose a new topic to work on?

[Sec. A.6.5] To see your current pie chart and choose a new concept in the Learning Mode, click on MyPie (on the ALEKS menu bar), move your pointer over the pie, and choose a new concept from one of the slices.

How can I print something in ALEKS?

[Sec. A.10] To print the contents of the screen, you can click on the Print icon in the upper part of the ALEKS window. This produces a new, printable window

(the ALEKS display is not normally printable). Depending on your browser, you may also have to click the browser’s Print button. When you are done, you can close the new window.

What should I do if it’s taking too long for a new page to load (or if the program freezes)?

[Sec. A.10] It shouldn’t take more than a few seconds for ALEKS to respond when you click on any button. If you experience delay, freezing, or crashing, you can click your browser’s Reload or Refresh button. If this doesn’t work, you can close your browser and restart it. In extreme cases, use Ctrl-Alt-Delete (Cmd-

Opt-Esc on Macintosh) and end the task. You will come back to the exact place you left off when you log back on to ALEKS.

How do I exit the ALEKS program?

To leave ALEKS, you can click on your name (top right) and select Log out or simply close your browser. ALEKS always remembers where you left off.

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218 APPENDIX A. ALEKS STUDENT USER’S GUIDE

What if I have a question or problem using ALEKS?

If you have a question or problem using ALEKS that is not answered here, contact your instructor. Your instructor has been provided with extensive information on the operation of ALEKS and should be able to answer most questions you may have.

What if I forget my Login Name or Password?

If you forget your Login Name or Password, you can use the link on the ALEKS home page marked Forgot your login info? If you entered an email address at registration time, a link to reset your password will be sent to you by email.

Otherwise, contact your instructor.

## A.10

## Troubleshooting

Difficulties in using ALEKS can often be resolved by following the suggestions given in this section.

Login Not Successful

Be careful to type your Login Name and Password correctly, with no spaces or punctuation. If you forget your Login Name or Password, you can use the link on the ALEKS home page marked Forgot your login info? If you entered an email address at registration time, a link to reset your password will be sent to you by email. Otherwise, contact your instructor.

Mixed Number Difficulties

Mixed numbers must be entered using the Mixed Number icon, not by entering the whole part and then using the Fraction icon.

Freezing and Slow Response

If you are logged on to ALEKS and the program is either not responding or taking too long to load a new page, try the following:

1. Click on your browser’s Reload (or Refresh) button;

2. Close the browser and log on again (the system will bring you back to where you left off); if you cannot close the browser, use Ctrl-Alt-Delete (PC) or

Cmd-Opt-Esc (Macintosh) and end the task (or reboot if necessary).

Open applications, other than the web browser that you are using to access

ALEKS, are another cause of slowness. Closing these applications may correct the problem.

If slowness persists, it is most likely due to a problem in the local network. Bring this to the attention of your instructor.

Lengthy Assessment

It is not possible to know exactly how many questions will be asked in an assessment. The number of questions asked does not reflect your knowledge of the subject matter.

A.10. TROUBLESHOOTING

Loss of topics from Pie Chart

You may observe a loss of concepts in your pie chart following an assessment. This is not a malfunction in the system, but results from errors made by you on material you had previously mastered. Don’t worry: that is the way the system works. In particular, it is not unusual to have a bad assessment, one that, for external reasons (distractions, etc.), does not reflect your actual knowledge. ALEKS will quickly bring you back to where you belong.

Printing Problems

To print ALEKS output (for instance, the pie chart Report) you must click on the

ALEKS Print icon. This opens a new browser window containing the contents of the previous window in the form of a Print Preview. When this page has been printed, it should be closed to return to the normal ALEKS interface.

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220 APPENDIX A. ALEKS STUDENT USER’S GUIDE

# Appendix B

# Programs in ALEKS

## B.1

## Arithmetic - 3

Whole Numbers arith124 Whole number place value: Problem type 1 arith125 Whole number place value: Problem type 2 arith066 Expanded form arith643 Expanded form with zeros arith028 Numeral translation: Problem type 1 arith060 Numeral translation: Problem type 2 arith128 Adding or subtracting 10, 100, or 1000 arith633 One-digit addition with carry arith634 Addition of 3 or 4 one-digit numbers arith635 Adding a 2-digit number and a 1-digit number with carry arith001 Addition without carry arith050 Addition with carry arith630 Addition with carry to the hundreds place arith012 Addition of large numbers arith660 Finding the value of a collection of coins arith661 Finding the value of a collection of bills and coins arith636 Subtracting a 1-digit number from a 2-digit number arith007 Subtraction without borrowing arith006 Subtraction with borrowing arith682 Subtraction with multiple regrouping steps arith637 Subtraction and regrouping with zeros arith613 Word problem with addition or subtraction of whole numbers arith126 Multiplication as repeated addition arith008 One-digit multiplication arith679 Multiplication by 10, 100, and 1000 arith675 Understanding multiplication of a one-digit number with a larger number arith003 Multiplication without carry arith004 Multiplication with carry arith615 Introduction to multiplication of large numbers arith632 Multiplication with trailing zeros: Problem type 1 arith638 Multiplication with trailing zeros: Problem type 2 arith014 Multiplication of large numbers arith639 Using multiplication to find the number of squares arith640 Using addition and multiplication to count the objects on a grid arith641 Multiples: Problem type 1 arith642 Multiples: Problem type 2

221

222 APPENDIX B. PROGRAMS IN ALEKS arith075 Division facts arith052 Division without carry arith005 Division with carry arith680 Division with trailing zeros: Problem type 1 arith649 Division with trailing zeros: Problem type 2 arith650 Division involving quotients with intermediate zeros arith616 Quotient and remainder: Problem type 1 arith644 Word problem on quotient and remainder arith617 Quotient and remainder: Problem type 2 arith631 Quotient and remainder: Problem type 3 arith614 Word problem with multiplication or division of whole numbers arith023 Word problem with division of whole numbers and rounding arith130 Word problem with multiplication and addition or subtraction of whole numbers arith651 Introduction to inequalities arith077 Ordering large numbers arith078 Rounding to tens or hundreds arith061 Rounding to thousands, ten thousands, or hundred thousands arith123 Rounding to hundreds or thousands arith101 Estimating a sum of whole numbers arith102 Estimating a difference of whole numbers arith677 Estimating a product arith678 Estimating a quotient arith645 Introduction to parentheses arith681 Introduction to order of operations arith048 Order of operations with whole numbers arith051 Order of operations with whole numbers and grouping symbols arith646 Even and odd numbers arith647 Divisibility rules for 2, 5, and 10 arith648 Divisibility rules for 3 and 9 arith056 Factors arith034 Prime numbers arith035 Prime factorization arith033 Greatest common factor of 2 numbers arith070 Least common multiple of 2 numbers arith240 Word problem with common multiples arith653 Fact families for addition and subtraction arith654 Fact families for multiplication and division alge807 Finding the next terms of a sequence with whole numbers

Fractions arith623 Introduction to fractions arith665 Understanding equivalent fractions arith212 Equivalent fractions arith666 Introduction to simplifying a fraction arith067 Simplifying a fraction arith044 Ordering fractions with the same denominator arith091 Ordering fractions with the same numerator arith092 Using a common denominator to order fractions arith687 Fractional position on a number line arith667 Plotting fractions on a number line arith618 Addition or subtraction of fractions with the same denominator arith109 Addition or subtraction of unit fractions arith664 Introduction to addition or subtraction of fractions with different denominators arith230 Addition or subtraction of fractions with different denominators arith100 Fractional part of a circle arith088 The reciprocal of a number arith079 Product of a unit fraction and a whole number arith119 Introduction to fraction multiplication arith086 Product of a fraction and a whole number: Problem type 1

B.1. ARITHMETIC - 3 arith053 Fraction multiplication arith095 Multi-step word problem involving fractions and multiplication arith022 Fraction division arith662 Writing a mixed number and an improper fraction for a shaded region arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction arith215 Addition or subtraction of mixed numbers with the same denominator arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing arith085 Addition or subtraction of mixed numbers with different denominators arith020 Mixed number multiplication: Problem type 1 arith076 Mixed number multiplication: Problem type 2 arith068 Mixed number division

Decimals arith127 Writing a decimal and a fraction for a shaded region arith110 Decimal place value: Tenths and hundredths arith220 Decimal place value: Hundreds to ten thousandths arith221 Rounding decimals arith129 Introduction to ordering decimals arith608 Ordering decimals arith670 Converting a decimal to a fraction: Basic arith087 Converting a decimal to a proper fraction in simplest form: Advanced arith671 Converting a fraction with a denominator of 10, 100, or 1000 to a decimal arith222 Converting a fraction to a terminating decimal arith089 Converting a fraction to a repeating decimal arith672 Converting a decimal to a mixed number arith223 Converting a mixed number to a decimal arith668 Addition with money arith624 Addition of aligned decimals arith013 Decimal addition with 3 numbers arith625 Subtraction of aligned decimals arith669 Subtraction with money arith626 Word problem with one decimal operation: Problem type 1 arith627 Word problem with one decimal operation: Problem type 2 arith082 Multiplication of a decimal by a power of ten arith017 Multiplication of a decimal by a whole number arith055 Decimal multiplication: Problem type 1 arith046 Decimal multiplication: Problem type 2 arith628 Word problem with multiple decimal operations: Problem type 1 arith083 Division of a decimal by a power of ten arith081 Division of a decimal by a whole number arith019 Division of a decimal by a 2-digit decimal arith629 Word problem with multiple decimal operations: Problem type 2

Measurement and Geometry mstat033 Measuring length to the nearest inch mstat034 Measuring length to the nearest quarter or half inch unit005 U.S. Customary unit conversion with whole number values unit006 U.S. Customary unit conversion with whole number values: Two-step conversion unit007 U.S. Customary unit conversion with mixed number values: One-step conversion unit008 U.S. Customary unit conversion with mixed number values: Two-step conversion mstat035 Conversions involving measurements in feet and inches mstat036 Adding measurements in feet and inches unit001 Metric distance conversion with whole number values unit002 Metric mass or capacity conversion with whole number values

223

224 APPENDIX B. PROGRAMS IN ALEKS unit003 Metric distance conversion with decimal values unit004 Metric conversion with decimal values: Two-step problem time010 Telling time unit012 Time unit conversion with whole number values time008 Reading a calendar time009 Introduction to adding time time006 Adding time time011 Introduction to elapsed time time007 Elapsed time arith063 Word problem with clocks mstat024 Interpreting a bar graph mstat044 Interpreting a double bar graph mstat007 Interpreting a line graph stat804 Interpreting a circle graph or pie chart arith103 Average of two numbers mstat001 Mean of a data set geom866 Perimeter and area on a grid geom300 Perimeter of a square or a rectangle geom339 Perimeter of a polygon geom019 Area of a square or a rectangle geom221 Finding the missing length in a figure geom340 Area of a piecewise rectangular figure geom801 Area of a triangle geom022 Area of a parallelogram geom016 Circumference of a circle geom802 Circumference and area of a circle geom354 Volume of a rectangular prism made of unit cubes geom311 Volume of a rectangular prism geom031 Surface area of a cube or a rectangular prism

Proportions and Percents arith663 Writing ratios for real-world situations arith064 Solving a word problem on proportions using a unit rate arith045 Word problem with powers of ten arith122 Word problem on rates arith073 Word problem with inverse proportion arith674 Finding the percentage of a grid that is shaded arith226 Converting between percentages and decimals arith090 Converting a percentage to a fraction in simplest form arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50 arith030 Finding a percentage of a whole number without a calculator: Basic arith069 Writing a ratio as a percentage without a calculator arith074 Finding the sale price without a calculator given the original price and percent discount arith120 Word problem on percentage: Problem type 2 arith121 Word problem on percentage: Problem type 3 arith232 Finding simple interest without a calculator

Signed Numbers and Exponents mstat038 Reading the temperature from a thermometer alge286 Plotting integers on a number line arith071 Absolute value of a number arith200 Integer addition: Problem type 1 arith108 Integer addition: Problem type 2 arith688 Integer subtraction: Problem type 1 arith689 Integer subtraction: Problem type 2 arith690 Integer subtraction: Problem type 3

B.2. ARITHMETIC - 4 arith231 Integer multiplication and division arith117 Signed decimal addition and subtraction arith234 Signed decimal addition and subtraction with 3 numbers arith116 Signed fraction addition or subtraction: Basic arith105 Signed fraction multiplication: Advanced arith104 Operations with absolute value: Problem type 2 arith233 Introduction to exponents arith683 Power of 10: Positive exponent arith684 Power of 10: Negative exponent arith036 Scientific notation with positive exponent arith037 Scientific notation with negative exponent arith047 Evaluating expressions with exponents: Problem type 1 arith049 Evaluating expressions with exponents: Problem type 2 arith600 Order of operations with integers and exponents arith029 Ordering numbers with positive exponents arith024 Ordering numbers with negative exponents arith042 Evaluating an expression with a negative exponent: Positive fraction base arith043 Evaluating an expression with a negative exponent: Negative integer base arith016 Square root of a perfect square arith602 Estimating a square root arith601 Square root of a rational perfect square arith093 Simplifying the square root of a whole number less than 100 arith094 Cube root of an integer arith032 Square root addition or subtraction arith039 Square root multiplication: Advanced

## B.2

## Arithmetic - 4

Whole Numbers arith124 Whole number place value: Problem type 1 arith125 Whole number place value: Problem type 2 arith066 Expanded form arith643 Expanded form with zeros arith028 Numeral translation: Problem type 1 arith060 Numeral translation: Problem type 2 arith128 Adding or subtracting 10, 100, or 1000 arith633 One-digit addition with carry arith634 Addition of 3 or 4 one-digit numbers arith635 Adding a 2-digit number and a 1-digit number with carry arith001 Addition without carry arith050 Addition with carry arith630 Addition with carry to the hundreds place arith012 Addition of large numbers arith660 Finding the value of a collection of coins arith661 Finding the value of a collection of bills and coins arith636 Subtracting a 1-digit number from a 2-digit number arith007 Subtraction without borrowing arith006 Subtraction with borrowing arith682 Subtraction with multiple regrouping steps arith637 Subtraction and regrouping with zeros arith613 Word problem with addition or subtraction of whole numbers arith126 Multiplication as repeated addition arith008 One-digit multiplication arith679 Multiplication by 10, 100, and 1000 arith675 Understanding multiplication of a one-digit number with a larger number arith003 Multiplication without carry arith004 Multiplication with carry

225

226 APPENDIX B. PROGRAMS IN ALEKS arith615 Introduction to multiplication of large numbers arith632 Multiplication with trailing zeros: Problem type 1 arith638 Multiplication with trailing zeros: Problem type 2 arith014 Multiplication of large numbers arith639 Using multiplication to find the number of squares arith640 Using addition and multiplication to count the objects on a grid arith641 Multiples: Problem type 1 arith642 Multiples: Problem type 2 arith075 Division facts arith052 Division without carry arith005 Division with carry arith680 Division with trailing zeros: Problem type 1 arith649 Division with trailing zeros: Problem type 2 arith650 Division involving quotients with intermediate zeros arith616 Quotient and remainder: Problem type 1 arith644 Word problem on quotient and remainder arith617 Quotient and remainder: Problem type 2 arith631 Quotient and remainder: Problem type 3 arith614 Word problem with multiplication or division of whole numbers arith023 Word problem with division of whole numbers and rounding arith130 Word problem with multiplication and addition or subtraction of whole numbers arith651 Introduction to inequalities arith077 Ordering large numbers arith078 Rounding to tens or hundreds arith123 Rounding to hundreds or thousands arith061 Rounding to thousands, ten thousands, or hundred thousands arith101 Estimating a sum of whole numbers arith102 Estimating a difference of whole numbers arith677 Estimating a product arith678 Estimating a quotient arith645 Introduction to parentheses arith681 Introduction to order of operations arith048 Order of operations with whole numbers arith051 Order of operations with whole numbers and grouping symbols arith646 Even and odd numbers arith647 Divisibility rules for 2, 5, and 10 arith648 Divisibility rules for 3 and 9 arith056 Factors arith034 Prime numbers arith035 Prime factorization arith033 Greatest common factor of 2 numbers arith070 Least common multiple of 2 numbers arith240 Word problem with common multiples arith653 Fact families for addition and subtraction arith654 Fact families for multiplication and division alge807 Finding the next terms of a sequence with whole numbers

Fractions arith623 Introduction to fractions arith665 Understanding equivalent fractions arith212 Equivalent fractions arith666 Introduction to simplifying a fraction arith067 Simplifying a fraction arith044 Ordering fractions with the same denominator arith091 Ordering fractions with the same numerator arith092 Using a common denominator to order fractions arith687 Fractional position on a number line arith667 Plotting fractions on a number line arith618 Addition or subtraction of fractions with the same denominator

B.2. ARITHMETIC - 4 arith109 Addition or subtraction of unit fractions arith664 Introduction to addition or subtraction of fractions with different denominators arith230 Addition or subtraction of fractions with different denominators arith100 Fractional part of a circle arith088 The reciprocal of a number arith079 Product of a unit fraction and a whole number arith119 Introduction to fraction multiplication arith086 Product of a fraction and a whole number: Problem type 1 arith053 Fraction multiplication arith095 Multi-step word problem involving fractions and multiplication arith022 Fraction division arith662 Writing a mixed number and an improper fraction for a shaded region arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction arith215 Addition or subtraction of mixed numbers with the same denominator arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing arith085 Addition or subtraction of mixed numbers with different denominators arith020 Mixed number multiplication: Problem type 1 arith076 Mixed number multiplication: Problem type 2 arith068 Mixed number division

Decimals arith127 Writing a decimal and a fraction for a shaded region arith110 Decimal place value: Tenths and hundredths arith220 Decimal place value: Hundreds to ten thousandths arith221 Rounding decimals arith129 Introduction to ordering decimals arith608 Ordering decimals arith670 Converting a decimal to a fraction: Basic arith087 Converting a decimal to a proper fraction in simplest form: Advanced arith671 Converting a fraction with a denominator of 10, 100, or 1000 to a decimal arith222 Converting a fraction to a terminating decimal arith089 Converting a fraction to a repeating decimal arith672 Converting a decimal to a mixed number arith223 Converting a mixed number to a decimal arith668 Addition with money arith624 Addition of aligned decimals arith013 Decimal addition with 3 numbers arith625 Subtraction of aligned decimals arith669 Subtraction with money arith626 Word problem with one decimal operation: Problem type 1 arith627 Word problem with one decimal operation: Problem type 2 arith082 Multiplication of a decimal by a power of ten arith017 Multiplication of a decimal by a whole number arith055 Decimal multiplication: Problem type 1 arith046 Decimal multiplication: Problem type 2 arith628 Word problem with multiple decimal operations: Problem type 1 arith083 Division of a decimal by a power of ten arith081 Division of a decimal by a whole number arith019 Division of a decimal by a 2-digit decimal arith629 Word problem with multiple decimal operations: Problem type 2

Measurement and Geometry mstat033 Measuring length to the nearest inch mstat034 Measuring length to the nearest quarter or half inch

227

228 APPENDIX B. PROGRAMS IN ALEKS unit005 U.S. Customary unit conversion with whole number values unit006 U.S. Customary unit conversion with whole number values: Two-step conversion unit007 U.S. Customary unit conversion with mixed number values: One-step conversion unit008 U.S. Customary unit conversion with mixed number values: Two-step conversion mstat035 Conversions involving measurements in feet and inches mstat036 Adding measurements in feet and inches unit001 Metric distance conversion with whole number values unit002 Metric mass or capacity conversion with whole number values unit003 Metric distance conversion with decimal values unit004 Metric conversion with decimal values: Two-step problem time010 Telling time unit012 Time unit conversion with whole number values time008 Reading a calendar time009 Introduction to adding time time006 Adding time time011 Introduction to elapsed time time007 Elapsed time arith063 Word problem with clocks mstat024 Interpreting a bar graph mstat044 Interpreting a double bar graph mstat007 Interpreting a line graph stat804 Interpreting a circle graph or pie chart arith103 Average of two numbers mstat001 Mean of a data set geom866 Perimeter and area on a grid geom300 Perimeter of a square or a rectangle geom339 Perimeter of a polygon geom019 Area of a square or a rectangle geom221 Finding the missing length in a figure geom340 Area of a piecewise rectangular figure geom801 Area of a triangle geom022 Area of a parallelogram geom016 Circumference of a circle geom802 Circumference and area of a circle geom354 Volume of a rectangular prism made of unit cubes geom311 Volume of a rectangular prism geom031 Surface area of a cube or a rectangular prism

Proportions and Percents arith663 Writing ratios for real-world situations arith064 Solving a word problem on proportions using a unit rate arith045 Word problem with powers of ten arith122 Word problem on rates arith073 Word problem with inverse proportion arith674 Finding the percentage of a grid that is shaded arith226 Converting between percentages and decimals arith090 Converting a percentage to a fraction in simplest form arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50 arith030 Finding a percentage of a whole number without a calculator: Basic arith069 Writing a ratio as a percentage without a calculator arith074 Finding the sale price without a calculator given the original price and percent discount arith120 Word problem on percentage: Problem type 2 arith121 Word problem on percentage: Problem type 3 arith232 Finding simple interest without a calculator

Signed Numbers and Exponents

B.3. ARITHMETIC - 5 mstat038 Reading the temperature from a thermometer alge286 Plotting integers on a number line arith071 Absolute value of a number arith200 Integer addition: Problem type 1 arith108 Integer addition: Problem type 2 arith688 Integer subtraction: Problem type 1 arith689 Integer subtraction: Problem type 2 arith690 Integer subtraction: Problem type 3 arith231 Integer multiplication and division arith117 Signed decimal addition and subtraction arith234 Signed decimal addition and subtraction with 3 numbers arith116 Signed fraction addition or subtraction: Basic arith105 Signed fraction multiplication: Advanced arith104 Operations with absolute value: Problem type 2 arith233 Introduction to exponents arith683 Power of 10: Positive exponent arith684 Power of 10: Negative exponent arith036 Scientific notation with positive exponent arith037 Scientific notation with negative exponent arith047 Evaluating expressions with exponents: Problem type 1 arith049 Evaluating expressions with exponents: Problem type 2 arith600 Order of operations with integers and exponents arith029 Ordering numbers with positive exponents arith024 Ordering numbers with negative exponents arith042 Evaluating an expression with a negative exponent: Positive fraction base arith043 Evaluating an expression with a negative exponent: Negative integer base arith016 Square root of a perfect square arith602 Estimating a square root arith601 Square root of a rational perfect square arith093 Simplifying the square root of a whole number less than 100 arith094 Cube root of an integer arith032 Square root addition or subtraction arith039 Square root multiplication: Advanced

## B.3

## Arithmetic - 5

Whole Numbers arith124 Whole number place value: Problem type 1 arith125 Whole number place value: Problem type 2 arith066 Expanded form arith643 Expanded form with zeros arith028 Numeral translation: Problem type 1 arith060 Numeral translation: Problem type 2 arith128 Adding or subtracting 10, 100, or 1000 arith633 One-digit addition with carry arith634 Addition of 3 or 4 one-digit numbers arith635 Adding a 2-digit number and a 1-digit number with carry arith001 Addition without carry arith050 Addition with carry arith630 Addition with carry to the hundreds place arith012 Addition of large numbers arith660 Finding the value of a collection of coins arith661 Finding the value of a collection of bills and coins arith636 Subtracting a 1-digit number from a 2-digit number arith007 Subtraction without borrowing arith006 Subtraction with borrowing arith682 Subtraction with multiple regrouping steps

229

230 APPENDIX B. PROGRAMS IN ALEKS arith637 Subtraction and regrouping with zeros arith613 Word problem with addition or subtraction of whole numbers arith126 Multiplication as repeated addition arith008 One-digit multiplication arith679 Multiplication by 10, 100, and 1000 arith675 Understanding multiplication of a one-digit number with a larger number arith003 Multiplication without carry arith004 Multiplication with carry arith615 Introduction to multiplication of large numbers arith632 Multiplication with trailing zeros: Problem type 1 arith638 Multiplication with trailing zeros: Problem type 2 arith014 Multiplication of large numbers arith639 Using multiplication to find the number of squares arith640 Using addition and multiplication to count the objects on a grid arith641 Multiples: Problem type 1 arith642 Multiples: Problem type 2 arith075 Division facts arith052 Division without carry arith005 Division with carry arith680 Division with trailing zeros: Problem type 1 arith649 Division with trailing zeros: Problem type 2 arith650 Division involving quotients with intermediate zeros arith616 Quotient and remainder: Problem type 1 arith644 Word problem on quotient and remainder arith617 Quotient and remainder: Problem type 2 arith631 Quotient and remainder: Problem type 3 arith614 Word problem with multiplication or division of whole numbers arith023 Word problem with division of whole numbers and rounding arith130 Word problem with multiplication and addition or subtraction of whole numbers arith651 Introduction to inequalities arith077 Ordering large numbers arith078 Rounding to tens or hundreds arith123 Rounding to hundreds or thousands arith061 Rounding to thousands, ten thousands, or hundred thousands arith101 Estimating a sum of whole numbers arith102 Estimating a difference of whole numbers arith677 Estimating a product arith678 Estimating a quotient arith645 Introduction to parentheses arith681 Introduction to order of operations arith048 Order of operations with whole numbers arith051 Order of operations with whole numbers and grouping symbols arith646 Even and odd numbers arith647 Divisibility rules for 2, 5, and 10 arith648 Divisibility rules for 3 and 9 arith056 Factors arith034 Prime numbers arith035 Prime factorization arith033 Greatest common factor of 2 numbers arith070 Least common multiple of 2 numbers arith240 Word problem with common multiples arith653 Fact families for addition and subtraction arith654 Fact families for multiplication and division alge807 Finding the next terms of a sequence with whole numbers

Fractions arith623 Introduction to fractions arith665 Understanding equivalent fractions arith212 Equivalent fractions

B.3. ARITHMETIC - 5 arith666 Introduction to simplifying a fraction arith067 Simplifying a fraction arith044 Ordering fractions with the same denominator arith091 Ordering fractions with the same numerator arith092 Using a common denominator to order fractions arith687 Fractional position on a number line arith667 Plotting fractions on a number line arith618 Addition or subtraction of fractions with the same denominator arith109 Addition or subtraction of unit fractions arith664 Introduction to addition or subtraction of fractions with different denominators arith230 Addition or subtraction of fractions with different denominators arith100 Fractional part of a circle arith088 The reciprocal of a number arith079 Product of a unit fraction and a whole number arith119 Introduction to fraction multiplication arith086 Product of a fraction and a whole number: Problem type 1 arith053 Fraction multiplication arith095 Multi-step word problem involving fractions and multiplication arith022 Fraction division arith662 Writing a mixed number and an improper fraction for a shaded region arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction arith215 Addition or subtraction of mixed numbers with the same denominator arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing arith085 Addition or subtraction of mixed numbers with different denominators arith020 Mixed number multiplication: Problem type 1 arith076 Mixed number multiplication: Problem type 2 arith068 Mixed number division

Decimals arith127 Writing a decimal and a fraction for a shaded region arith110 Decimal place value: Tenths and hundredths arith220 Decimal place value: Hundreds to ten thousandths arith221 Rounding decimals arith129 Introduction to ordering decimals arith608 Ordering decimals arith670 Converting a decimal to a fraction: Basic arith087 Converting a decimal to a proper fraction in simplest form: Advanced arith671 Converting a fraction with a denominator of 10, 100, or 1000 to a decimal arith222 Converting a fraction to a terminating decimal arith089 Converting a fraction to a repeating decimal arith672 Converting a decimal to a mixed number arith223 Converting a mixed number to a decimal arith668 Addition with money arith624 Addition of aligned decimals arith013 Decimal addition with 3 numbers arith625 Subtraction of aligned decimals arith669 Subtraction with money arith626 Word problem with one decimal operation: Problem type 1 arith627 Word problem with one decimal operation: Problem type 2 arith082 Multiplication of a decimal by a power of ten arith017 Multiplication of a decimal by a whole number arith055 Decimal multiplication: Problem type 1 arith046 Decimal multiplication: Problem type 2 arith628 Word problem with multiple decimal operations: Problem type 1 arith083 Division of a decimal by a power of ten arith081 Division of a decimal by a whole number arith019 Division of a decimal by a 2-digit decimal

231

232 APPENDIX B. PROGRAMS IN ALEKS arith629 Word problem with multiple decimal operations: Problem type 2

Measurement and Geometry mstat033 Measuring length to the nearest inch mstat034 Measuring length to the nearest quarter or half inch unit005 U.S. Customary unit conversion with whole number values unit006 U.S. Customary unit conversion with whole number values: Two-step conversion unit007 U.S. Customary unit conversion with mixed number values: One-step conversion unit008 U.S. Customary unit conversion with mixed number values: Two-step conversion mstat035 Conversions involving measurements in feet and inches mstat036 Adding measurements in feet and inches unit001 Metric distance conversion with whole number values unit002 Metric mass or capacity conversion with whole number values unit003 Metric distance conversion with decimal values unit004 Metric conversion with decimal values: Two-step problem time010 Telling time unit012 Time unit conversion with whole number values time008 Reading a calendar time009 Introduction to adding time time006 Adding time time011 Introduction to elapsed time time007 Elapsed time arith063 Word problem with clocks mstat024 Interpreting a bar graph mstat044 Interpreting a double bar graph mstat007 Interpreting a line graph stat804 Interpreting a circle graph or pie chart arith103 Average of two numbers mstat001 Mean of a data set geom866 Perimeter and area on a grid geom300 Perimeter of a square or a rectangle geom339 Perimeter of a polygon geom019 Area of a square or a rectangle geom221 Finding the missing length in a figure geom340 Area of a piecewise rectangular figure geom801 Area of a triangle geom022 Area of a parallelogram geom016 Circumference of a circle geom802 Circumference and area of a circle geom354 Volume of a rectangular prism made of unit cubes geom311 Volume of a rectangular prism geom031 Surface area of a cube or a rectangular prism

Proportions and Percents arith663 Writing ratios for real-world situations arith064 Solving a word problem on proportions using a unit rate arith045 Word problem with powers of ten arith122 Word problem on rates arith073 Word problem with inverse proportion arith674 Finding the percentage of a grid that is shaded arith226 Converting between percentages and decimals arith090 Converting a percentage to a fraction in simplest form arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50 arith030 Finding a percentage of a whole number without a calculator: Basic arith069 Writing a ratio as a percentage without a calculator arith074 Finding the sale price without a calculator given the original price and percent discount

B.4. ARITHMETIC - 6 arith120 Word problem on percentage: Problem type 2 arith121 Word problem on percentage: Problem type 3 arith232 Finding simple interest without a calculator

Signed Numbers and Exponents mstat038 Reading the temperature from a thermometer alge286 Plotting integers on a number line arith071 Absolute value of a number arith200 Integer addition: Problem type 1 arith108 Integer addition: Problem type 2 arith688 Integer subtraction: Problem type 1 arith689 Integer subtraction: Problem type 2 arith690 Integer subtraction: Problem type 3 arith231 Integer multiplication and division arith117 Signed decimal addition and subtraction arith234 Signed decimal addition and subtraction with 3 numbers arith116 Signed fraction addition or subtraction: Basic arith105 Signed fraction multiplication: Advanced arith104 Operations with absolute value: Problem type 2 arith233 Introduction to exponents arith683 Power of 10: Positive exponent arith684 Power of 10: Negative exponent arith036 Scientific notation with positive exponent arith037 Scientific notation with negative exponent arith047 Evaluating expressions with exponents: Problem type 1 arith049 Evaluating expressions with exponents: Problem type 2 arith600 Order of operations with integers and exponents arith029 Ordering numbers with positive exponents arith024 Ordering numbers with negative exponents arith042 Evaluating an expression with a negative exponent: Positive fraction base arith043 Evaluating an expression with a negative exponent: Negative integer base arith016 Square root of a perfect square arith602 Estimating a square root arith601 Square root of a rational perfect square arith093 Simplifying the square root of a whole number less than 100 arith094 Cube root of an integer arith032 Square root addition or subtraction arith039 Square root multiplication: Advanced

## B.4

## Arithmetic - 6

Whole Numbers arith124 Whole number place value: Problem type 1 arith125 Whole number place value: Problem type 2 arith066 Expanded form arith643 Expanded form with zeros arith028 Numeral translation: Problem type 1 arith060 Numeral translation: Problem type 2 arith128 Adding or subtracting 10, 100, or 1000 arith633 One-digit addition with carry arith634 Addition of 3 or 4 one-digit numbers arith635 Adding a 2-digit number and a 1-digit number with carry arith001 Addition without carry

233

234 APPENDIX B. PROGRAMS IN ALEKS arith050 Addition with carry arith630 Addition with carry to the hundreds place arith012 Addition of large numbers arith660 Finding the value of a collection of coins arith661 Finding the value of a collection of bills and coins arith636 Subtracting a 1-digit number from a 2-digit number arith007 Subtraction without borrowing arith006 Subtraction with borrowing arith682 Subtraction with multiple regrouping steps arith637 Subtraction and regrouping with zeros arith613 Word problem with addition or subtraction of whole numbers arith126 Multiplication as repeated addition arith008 One-digit multiplication arith679 Multiplication by 10, 100, and 1000 arith675 Understanding multiplication of a one-digit number with a larger number arith003 Multiplication without carry arith004 Multiplication with carry arith615 Introduction to multiplication of large numbers arith632 Multiplication with trailing zeros: Problem type 1 arith638 Multiplication with trailing zeros: Problem type 2 arith014 Multiplication of large numbers arith639 Using multiplication to find the number of squares arith640 Using addition and multiplication to count the objects on a grid arith641 Multiples: Problem type 1 arith642 Multiples: Problem type 2 arith075 Division facts arith052 Division without carry arith005 Division with carry arith680 Division with trailing zeros: Problem type 1 arith649 Division with trailing zeros: Problem type 2 arith650 Division involving quotients with intermediate zeros arith616 Quotient and remainder: Problem type 1 arith644 Word problem on quotient and remainder arith617 Quotient and remainder: Problem type 2 arith631 Quotient and remainder: Problem type 3 arith614 Word problem with multiplication or division of whole numbers arith023 Word problem with division of whole numbers and rounding arith130 Word problem with multiplication and addition or subtraction of whole numbers arith651 Introduction to inequalities arith077 Ordering large numbers arith078 Rounding to tens or hundreds arith123 Rounding to hundreds or thousands arith061 Rounding to thousands, ten thousands, or hundred thousands arith101 Estimating a sum of whole numbers arith102 Estimating a difference of whole numbers arith677 Estimating a product arith678 Estimating a quotient arith645 Introduction to parentheses arith681 Introduction to order of operations arith048 Order of operations with whole numbers arith051 Order of operations with whole numbers and grouping symbols arith646 Even and odd numbers arith647 Divisibility rules for 2, 5, and 10 arith648 Divisibility rules for 3 and 9 arith056 Factors arith034 Prime numbers arith035 Prime factorization arith033 Greatest common factor of 2 numbers arith070 Least common multiple of 2 numbers arith240 Word problem with common multiples arith653 Fact families for addition and subtraction arith654 Fact families for multiplication and division

B.4. ARITHMETIC - 6 alge807 Finding the next terms of a sequence with whole numbers

Fractions arith623 Introduction to fractions arith665 Understanding equivalent fractions arith212 Equivalent fractions arith666 Introduction to simplifying a fraction arith067 Simplifying a fraction arith044 Ordering fractions with the same denominator arith091 Ordering fractions with the same numerator arith092 Using a common denominator to order fractions arith687 Fractional position on a number line arith667 Plotting fractions on a number line arith618 Addition or subtraction of fractions with the same denominator arith109 Addition or subtraction of unit fractions arith664 Introduction to addition or subtraction of fractions with different denominators arith230 Addition or subtraction of fractions with different denominators arith100 Fractional part of a circle arith088 The reciprocal of a number arith079 Product of a unit fraction and a whole number arith119 Introduction to fraction multiplication arith086 Product of a fraction and a whole number: Problem type 1 arith053 Fraction multiplication arith095 Multi-step word problem involving fractions and multiplication arith022 Fraction division arith662 Writing a mixed number and an improper fraction for a shaded region arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction arith215 Addition or subtraction of mixed numbers with the same denominator arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing arith085 Addition or subtraction of mixed numbers with different denominators arith020 Mixed number multiplication: Problem type 1 arith076 Mixed number multiplication: Problem type 2 arith068 Mixed number division

Decimals arith127 Writing a decimal and a fraction for a shaded region arith110 Decimal place value: Tenths and hundredths arith220 Decimal place value: Hundreds to ten thousandths arith221 Rounding decimals arith129 Introduction to ordering decimals arith608 Ordering decimals arith670 Converting a decimal to a fraction: Basic arith087 Converting a decimal to a proper fraction in simplest form: Advanced arith671 Converting a fraction with a denominator of 10, 100, or 1000 to a decimal arith222 Converting a fraction to a terminating decimal arith089 Converting a fraction to a repeating decimal arith672 Converting a decimal to a mixed number arith223 Converting a mixed number to a decimal arith668 Addition with money arith624 Addition of aligned decimals arith013 Decimal addition with 3 numbers arith625 Subtraction of aligned decimals arith669 Subtraction with money arith626 Word problem with one decimal operation: Problem type 1

235

236 APPENDIX B. PROGRAMS IN ALEKS arith627 Word problem with one decimal operation: Problem type 2 arith082 Multiplication of a decimal by a power of ten arith017 Multiplication of a decimal by a whole number arith055 Decimal multiplication: Problem type 1 arith046 Decimal multiplication: Problem type 2 arith628 Word problem with multiple decimal operations: Problem type 1 arith083 Division of a decimal by a power of ten arith081 Division of a decimal by a whole number arith019 Division of a decimal by a 2-digit decimal arith629 Word problem with multiple decimal operations: Problem type 2

Measurement and Geometry mstat033 Measuring length to the nearest inch mstat034 Measuring length to the nearest quarter or half inch unit005 U.S. Customary unit conversion with whole number values unit006 U.S. Customary unit conversion with whole number values: Two-step conversion unit007 U.S. Customary unit conversion with mixed number values: One-step conversion unit008 U.S. Customary unit conversion with mixed number values: Two-step conversion mstat035 Conversions involving measurements in feet and inches mstat036 Adding measurements in feet and inches unit001 Metric distance conversion with whole number values unit002 Metric mass or capacity conversion with whole number values unit003 Metric distance conversion with decimal values unit004 Metric conversion with decimal values: Two-step problem time010 Telling time unit012 Time unit conversion with whole number values time008 Reading a calendar time009 Introduction to adding time time006 Adding time time011 Introduction to elapsed time time007 Elapsed time arith063 Word problem with clocks mstat024 Interpreting a bar graph mstat044 Interpreting a double bar graph mstat007 Interpreting a line graph stat804 Interpreting a circle graph or pie chart arith103 Average of two numbers mstat001 Mean of a data set geom866 Perimeter and area on a grid geom300 Perimeter of a square or a rectangle geom339 Perimeter of a polygon geom019 Area of a square or a rectangle geom221 Finding the missing length in a figure geom340 Area of a piecewise rectangular figure geom801 Area of a triangle geom022 Area of a parallelogram geom016 Circumference of a circle geom802 Circumference and area of a circle geom354 Volume of a rectangular prism made of unit cubes geom311 Volume of a rectangular prism geom031 Surface area of a cube or a rectangular prism

Proportions and Percents arith663 Writing ratios for real-world situations arith064 Solving a word problem on proportions using a unit rate arith045 Word problem with powers of ten

B.5. LV3 arith122 Word problem on rates arith073 Word problem with inverse proportion arith674 Finding the percentage of a grid that is shaded arith226 Converting between percentages and decimals arith090 Converting a percentage to a fraction in simplest form arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50 arith030 Finding a percentage of a whole number without a calculator: Basic arith069 Writing a ratio as a percentage without a calculator arith074 Finding the sale price without a calculator given the original price and percent discount arith120 Word problem on percentage: Problem type 2 arith121 Word problem on percentage: Problem type 3 arith232 Finding simple interest without a calculator

Signed Numbers and Exponents mstat038 Reading the temperature from a thermometer alge286 Plotting integers on a number line arith071 Absolute value of a number arith200 Integer addition: Problem type 1 arith108 Integer addition: Problem type 2 arith688 Integer subtraction: Problem type 1 arith689 Integer subtraction: Problem type 2 arith690 Integer subtraction: Problem type 3 arith231 Integer multiplication and division arith117 Signed decimal addition and subtraction arith234 Signed decimal addition and subtraction with 3 numbers arith116 Signed fraction addition or subtraction: Basic arith105 Signed fraction multiplication: Advanced arith104 Operations with absolute value: Problem type 2 arith233 Introduction to exponents arith683 Power of 10: Positive exponent arith684 Power of 10: Negative exponent arith036 Scientific notation with positive exponent arith037 Scientific notation with negative exponent arith047 Evaluating expressions with exponents: Problem type 1 arith049 Evaluating expressions with exponents: Problem type 2 arith600 Order of operations with integers and exponents arith029 Ordering numbers with positive exponents arith024 Ordering numbers with negative exponents arith042 Evaluating an expression with a negative exponent: Positive fraction base arith043 Evaluating an expression with a negative exponent: Negative integer base arith016 Square root of a perfect square arith602 Estimating a square root arith601 Square root of a rational perfect square arith093 Simplifying the square root of a whole number less than 100 arith094 Cube root of an integer arith032 Square root addition or subtraction arith039 Square root multiplication: Advanced

## B.5

## LV3

Place Value and Money arith124 Whole number place value: Problem type 1 arith125 Whole number place value: Problem type 2

237

238 APPENDIX B. PROGRAMS IN ALEKS arith066 Expanded form arith643 Expanded form with zeros arith028 Numeral translation: Problem type 1 arith060 Numeral translation: Problem type 2 arith651 Introduction to inequalities arith652 Comparing a numerical expression with a number arith077 Ordering large numbers arith078 Rounding to tens or hundreds arith123 Rounding to hundreds or thousands arith061 Rounding to thousands, ten thousands, or hundred thousands arith660 Finding the value of a collection of coins arith661 Finding the value of a collection of bills and coins

Addition and Subtraction arith633 One-digit addition with carry arith634 Addition of 3 or 4 one-digit numbers arith635 Adding a 2-digit number and a 1-digit number with carry arith001 Addition without carry arith050 Addition with carry arith630 Addition with carry to the hundreds place arith012 Addition of large numbers arith636 Subtracting a 1-digit number from a 2-digit number arith007 Subtraction without borrowing arith006 Subtraction with borrowing arith682 Subtraction with multiple regrouping steps arith637 Subtraction and regrouping with zeros arith128 Adding or subtracting 10, 100, or 1000 arith613 Word problem with addition or subtraction of whole numbers arith101 Estimating a sum of whole numbers arith102 Estimating a difference of whole numbers arith653 Fact families for addition and subtraction arith655 Introduction to properties of addition alge284 Evaluating an algebraic expression: Whole number addition or subtraction alge009 Additive property of equality with whole numbers

Multiplication and Division arith008 One-digit multiplication arith679 Multiplication by 10, 100, and 1000 arith675 Understanding multiplication of a one-digit number with a larger number arith003 Multiplication without carry arith004 Multiplication with carry arith632 Multiplication with trailing zeros: Problem type 1 arith126 Multiplication as repeated addition arith639 Using multiplication to find the number of squares arith640 Using addition and multiplication to count the objects on a grid arith641 Multiples: Problem type 1 arith642 Multiples: Problem type 2 arith130 Word problem with multiplication and addition or subtraction of whole numbers arith075 Division facts arith052 Division without carry arith005 Division with carry arith680 Division with trailing zeros: Problem type 1 arith650 Division involving quotients with intermediate zeros arith616 Quotient and remainder: Problem type 1 arith644 Word problem on quotient and remainder arith617 Quotient and remainder: Problem type 2

B.5. LV3 arith614 Word problem with multiplication or division of whole numbers arith677 Estimating a product arith678 Estimating a quotient arith645 Introduction to parentheses arith658 Filling in missing operations to make an equation arith654 Fact families for multiplication and division arith656 Introduction to properties of multiplication alge683 Evaluating an algebraic expression: Whole number multiplication or division alge813 Solving simple equations with multiplication or division arith056 Factors arith646 Even and odd numbers arith647 Divisibility rules for 2, 5, and 10 alge807 Finding the next terms of a sequence with whole numbers alge281 Function tables with one-step rules mstat061 Describing an increasing or decreasing pattern from a table of values

Geometry, Measurement, and Graphs geom349 Naming segments, rays, and lines geom358 Identifying parallel and perpendicular lines geom303 Acute, obtuse, and right angles geom361 Naming polygons geom306 Acute, obtuse, and right triangles geom300 Perimeter of a square or a rectangle geom339 Perimeter of a polygon geom866 Perimeter and area on a grid geom019 Area of a square or a rectangle geom867 Identifying parallelograms, rectangles, and squares geom868 Classifying solids geom354 Volume of a rectangular prism made of unit cubes geom348 Vertices, edges, and faces of a solid geom219 Nets of solids geom359 Identifying congruent shapes on a grid geom360 Identifying similar or congruent shapes on a grid geom357 Identifying transformations geom334 Drawing lines of symmetry alge732 Finding patterns in shapes mstat058 Choosing a measuring tool mstat059 Choosing U.S. Customary measurement units mstat062 Reading a positive temperature from a thermometer mstat033 Measuring length to the nearest inch mstat034 Measuring length to the nearest quarter or half inch unit005 U.S. Customary unit conversion with whole number values mstat035 Conversions involving measurements in feet and inches mstat060 Choosing metric measurement units mstat063 Measuring length to the nearest centimeter unit001 Metric distance conversion with whole number values unit002 Metric mass or capacity conversion with whole number values time010 Telling time time008 Reading a calendar unit012 Time unit conversion with whole number values time009 Introduction to adding time time011 Introduction to elapsed time alge278 Reading a point in quadrant 1 alge279 Plotting a point in quadrant 1 mstat056 Interpreting a tally table mstat005 Constructing a bar graph for non-numerical data mstat024 Interpreting a bar graph mstat057 Interpreting a pictograph table mstat037 Constructing a line plot

239

240 APPENDIX B. PROGRAMS IN ALEKS mstat007 Interpreting a line graph mstat042 Interpreting a Venn diagram of 2 sets mstat055 Finding the mode and range of a data set mstat040 Introduction to the counting principle mstat054 Classifying likelihood mstat026 Introduction to the probability of an event

Fractions and Decimals arith623 Introduction to fractions arith665 Understanding equivalent fractions arith212 Equivalent fractions arith666 Introduction to simplifying a fraction arith662 Writing a mixed number and an improper fraction for a shaded region arith044 Ordering fractions with the same denominator arith091 Ordering fractions with the same numerator arith618 Addition or subtraction of fractions with the same denominator arith079 Product of a unit fraction and a whole number arith127 Writing a decimal and a fraction for a shaded region arith110 Decimal place value: Tenths and hundredths arith220 Decimal place value: Hundreds to ten thousandths arith129 Introduction to ordering decimals arith608 Ordering decimals arith670 Converting a decimal to a fraction: Basic arith671 Converting a fraction with a denominator of 10, 100, or 1000 to a decimal arith624 Addition of aligned decimals arith013 Decimal addition with 3 numbers arith668 Addition with money arith625 Subtraction of aligned decimals arith669 Subtraction with money arith626 Word problem with one decimal operation: Problem type 1 arith627 Word problem with one decimal operation: Problem type 2

## B.6

## LV4

Number Sense, Addition, and Subtraction arith124 Whole number place value: Problem type 1 arith125 Whole number place value: Problem type 2 arith066 Expanded form arith643 Expanded form with zeros arith028 Numeral translation: Problem type 1 arith060 Numeral translation: Problem type 2 arith651 Introduction to inequalities arith077 Ordering large numbers arith078 Rounding to tens or hundreds arith123 Rounding to hundreds or thousands arith061 Rounding to thousands, ten thousands, or hundred thousands arith633 One-digit addition with carry arith634 Addition of 3 or 4 one-digit numbers arith635 Adding a 2-digit number and a 1-digit number with carry arith001 Addition without carry arith050 Addition with carry arith630 Addition with carry to the hundreds place arith012 Addition of large numbers

B.6. LV4 arith636 Subtracting a 1-digit number from a 2-digit number arith007 Subtraction without borrowing arith006 Subtraction with borrowing arith128 Adding or subtracting 10, 100, or 1000 arith682 Subtraction with multiple regrouping steps arith637 Subtraction and regrouping with zeros arith613 Word problem with addition or subtraction of whole numbers arith101 Estimating a sum of whole numbers arith102 Estimating a difference of whole numbers arith653 Fact families for addition and subtraction arith655 Introduction to properties of addition

Multiplication and Division arith008 One-digit multiplication arith679 Multiplication by 10, 100, and 1000 arith675 Understanding multiplication of a one-digit number with a larger number arith003 Multiplication without carry arith004 Multiplication with carry arith632 Multiplication with trailing zeros: Problem type 1 arith126 Multiplication as repeated addition arith639 Using multiplication to find the number of squares arith640 Using addition and multiplication to count the objects on a grid arith641 Multiples: Problem type 1 arith642 Multiples: Problem type 2 arith615 Introduction to multiplication of large numbers arith638 Multiplication with trailing zeros: Problem type 2 arith014 Multiplication of large numbers arith130 Word problem with multiplication and addition or subtraction of whole numbers arith075 Division facts arith052 Division without carry arith005 Division with carry arith680 Division with trailing zeros: Problem type 1 arith650 Division involving quotients with intermediate zeros arith616 Quotient and remainder: Problem type 1 arith644 Word problem on quotient and remainder arith617 Quotient and remainder: Problem type 2 arith614 Word problem with multiplication or division of whole numbers arith631 Quotient and remainder: Problem type 3 arith649 Division with trailing zeros: Problem type 2 arith023 Word problem with division of whole numbers and rounding arith677 Estimating a product arith678 Estimating a quotient arith645 Introduction to parentheses arith681 Introduction to order of operations arith048 Order of operations with whole numbers arith051 Order of operations with whole numbers and grouping symbols arith657 Understanding the distributive property arith652 Comparing a numerical expression with a number arith654 Fact families for multiplication and division arith658 Filling in missing operations to make an equation arith656 Introduction to properties of multiplication alge807 Finding the next terms of a sequence with whole numbers arith646 Even and odd numbers arith647 Divisibility rules for 2, 5, and 10 arith648 Divisibility rules for 3 and 9 arith056 Factors arith033 Greatest common factor of 2 numbers arith070 Least common multiple of 2 numbers arith034 Prime numbers

241

242 APPENDIX B. PROGRAMS IN ALEKS arith035 Prime factorization

Fractions, Time, and Customary Measurement arith623 Introduction to fractions arith665 Understanding equivalent fractions arith212 Equivalent fractions arith666 Introduction to simplifying a fraction arith067 Simplifying a fraction arith044 Ordering fractions with the same denominator arith091 Ordering fractions with the same numerator arith092 Using a common denominator to order fractions arith687 Fractional position on a number line arith667 Plotting fractions on a number line arith618 Addition or subtraction of fractions with the same denominator arith109 Addition or subtraction of unit fractions arith664 Introduction to addition or subtraction of fractions with different denominators arith230 Addition or subtraction of fractions with different denominators arith100 Fractional part of a circle arith079 Product of a unit fraction and a whole number arith086 Product of a fraction and a whole number: Problem type 1 arith662 Writing a mixed number and an improper fraction for a shaded region arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction arith215 Addition or subtraction of mixed numbers with the same denominator arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing time010 Telling time unit012 Time unit conversion with whole number values time008 Reading a calendar time009 Introduction to adding time time006 Adding time time011 Introduction to elapsed time time007 Elapsed time mstat058 Choosing a measuring tool mstat059 Choosing U.S. Customary measurement units mstat062 Reading a positive temperature from a thermometer mstat033 Measuring length to the nearest inch mstat034 Measuring length to the nearest quarter or half inch mstat035 Conversions involving measurements in feet and inches mstat036 Adding measurements in feet and inches unit005 U.S. Customary unit conversion with whole number values unit006 U.S. Customary unit conversion with whole number values: Two-step conversion

Decimals, Money, and Metric Measurement arith660 Finding the value of a collection of coins arith661 Finding the value of a collection of bills and coins arith127 Writing a decimal and a fraction for a shaded region arith110 Decimal place value: Tenths and hundredths arith220 Decimal place value: Hundreds to ten thousandths arith221 Rounding decimals arith129 Introduction to ordering decimals arith608 Ordering decimals arith670 Converting a decimal to a fraction: Basic arith087 Converting a decimal to a proper fraction in simplest form: Advanced arith671 Converting a fraction with a denominator of 10, 100, or 1000 to a decimal arith672 Converting a decimal to a mixed number

B.6. LV4 arith624 Addition of aligned decimals arith668 Addition with money arith013 Decimal addition with 3 numbers arith625 Subtraction of aligned decimals arith669 Subtraction with money arith626 Word problem with one decimal operation: Problem type 1 arith627 Word problem with one decimal operation: Problem type 2 arith131 Estimating a decimal sum or difference arith674 Finding the percentage of a grid that is shaded mstat060 Choosing metric measurement units mstat063 Measuring length to the nearest centimeter mstat064 Measuring length to the nearest millimeter unit001 Metric distance conversion with whole number values unit002 Metric mass or capacity conversion with whole number values

Geometry geom349 Naming segments, rays, and lines geom358 Identifying parallel and perpendicular lines geom151 Measuring an angle with the protractor geom152 Drawing an angle with the protractor geom303 Acute, obtuse, and right angles geom361 Naming polygons geom306 Acute, obtuse, and right triangles geom307 Scalene, isosceles, and equilateral triangles geom001 Finding an angle measure of a triangle given two angles geom867 Identifying parallelograms, rectangles, and squares geom310 Classifying quadrilaterals geom300 Perimeter of a square or a rectangle geom339 Perimeter of a polygon geom078 Sides of polygons having the same perimeter geom221 Finding the missing length in a figure geom353 Perimeter of a piecewise rectangular figure geom866 Perimeter and area on a grid geom019 Area of a square or a rectangle geom350 Distinguishing between area and perimeter geom351 Areas of rectangles with the same perimeter geom340 Area of a piecewise rectangular figure geom869 Estimates and exact answers alge732 Finding patterns in shapes geom347 Introduction to a circle: Diameter, radius, and chord geom311 Volume of a rectangular prism geom354 Volume of a rectangular prism made of unit cubes geom868 Classifying solids geom348 Vertices, edges, and faces of a solid geom219 Nets of solids geom359 Identifying congruent shapes on a grid geom360 Identifying similar or congruent shapes on a grid geom355 Introduction to translations geom356 Introduction to reflections geom357 Identifying transformations geom334 Drawing lines of symmetry

Algebra, Graphs, and Probability mstat004 Constructing a histogram for numerical data mstat005 Constructing a bar graph for non-numerical data mstat037 Constructing a line plot

243

244 APPENDIX B. PROGRAMS IN ALEKS mstat056 Interpreting a tally table mstat057 Interpreting a pictograph table mstat024 Interpreting a bar graph mstat044 Interpreting a double bar graph mstat007 Interpreting a line graph mstat031 Interpreting a stem-and-leaf plot mstat003 Mode of a data set mstat055 Finding the mode and range of a data set mstat001 Mean of a data set mstat028 Mean and median of a data set mstat041 Interpreting a tree diagram mstat040 Introduction to the counting principle mstat054 Classifying likelihood mstat039 Understanding likelihood mstat026 Introduction to the probability of an event mstat010 Probability of an event mstat042 Interpreting a Venn diagram of 2 sets arith699 Writing a signed number for a real-world situation mstat038 Reading the temperature from a thermometer alge286 Plotting integers on a number line arith691 Ordering integers alge284 Evaluating an algebraic expression: Whole number addition or subtraction alge683 Evaluating an algebraic expression: Whole number multiplication or division alge285 Evaluating an algebraic expression: Whole numbers with two operations alge009 Additive property of equality with whole numbers alge813 Solving simple equations with multiplication or division alge008 Multiplicative property of equality with whole numbers alge733 Writing a one-step expression for a real-world situation alge281 Function tables with one-step rules alge282 Function tables with two-step rules mstat061 Describing an increasing or decreasing pattern from a table of values fun005 Writing a function rule given a table of ordered pairs: One-step rules alge278 Reading a point in quadrant 1 alge279 Plotting a point in quadrant 1 alge283 Graphing whole number functions alge280 Graphing a line in quadrant 1

## B.7

## LV5

Whole Numbers arith124 Whole number place value: Problem type 1 arith125 Whole number place value: Problem type 2 arith066 Expanded form arith643 Expanded form with zeros arith028 Numeral translation: Problem type 1 arith060 Numeral translation: Problem type 2 arith633 One-digit addition with carry arith634 Addition of 3 or 4 one-digit numbers arith635 Adding a 2-digit number and a 1-digit number with carry arith001 Addition without carry arith050 Addition with carry arith630 Addition with carry to the hundreds place arith012 Addition of large numbers arith660 Finding the value of a collection of coins arith661 Finding the value of a collection of bills and coins arith636 Subtracting a 1-digit number from a 2-digit number arith007 Subtraction without borrowing

B.7. LV5 arith006 Subtraction with borrowing arith128 Adding or subtracting 10, 100, or 1000 arith682 Subtraction with multiple regrouping steps arith637 Subtraction and regrouping with zeros arith613 Word problem with addition or subtraction of whole numbers arith641 Multiples: Problem type 1 arith642 Multiples: Problem type 2 arith008 One-digit multiplication arith679 Multiplication by 10, 100, and 1000 arith675 Understanding multiplication of a one-digit number with a larger number arith003 Multiplication without carry arith004 Multiplication with carry arith615 Introduction to multiplication of large numbers arith632 Multiplication with trailing zeros: Problem type 1 arith638 Multiplication with trailing zeros: Problem type 2 arith014 Multiplication of large numbers arith126 Multiplication as repeated addition arith639 Using multiplication to find the number of squares arith640 Using addition and multiplication to count the objects on a grid arith075 Division facts arith052 Division without carry arith005 Division with carry arith680 Division with trailing zeros: Problem type 1 arith649 Division with trailing zeros: Problem type 2 arith650 Division involving quotients with intermediate zeros arith616 Quotient and remainder: Problem type 1 arith644 Word problem on quotient and remainder arith617 Quotient and remainder: Problem type 2 arith631 Quotient and remainder: Problem type 3 arith023 Word problem with division of whole numbers and rounding arith614 Word problem with multiplication or division of whole numbers arith130 Word problem with multiplication and addition or subtraction of whole numbers arith651 Introduction to inequalities arith652 Comparing a numerical expression with a number arith077 Ordering large numbers arith078 Rounding to tens or hundreds arith123 Rounding to hundreds or thousands arith061 Rounding to thousands, ten thousands, or hundred thousands arith101 Estimating a sum of whole numbers arith102 Estimating a difference of whole numbers arith677 Estimating a product arith678 Estimating a quotient arith103 Average of two numbers arith645 Introduction to parentheses arith681 Introduction to order of operations arith048 Order of operations with whole numbers arith051 Order of operations with whole numbers and grouping symbols arith646 Even and odd numbers arith647 Divisibility rules for 2, 5, and 10 arith648 Divisibility rules for 3 and 9 arith056 Factors arith034 Prime numbers arith035 Prime factorization arith033 Greatest common factor of 2 numbers arith070 Least common multiple of 2 numbers arith240 Word problem with common multiples arith655 Introduction to properties of addition arith656 Introduction to properties of multiplication arith657 Understanding the distributive property arith653 Fact families for addition and subtraction arith654 Fact families for multiplication and division arith658 Filling in missing operations to make an equation

245

246 APPENDIX B. PROGRAMS IN ALEKS alge807 Finding the next terms of a sequence with whole numbers

Fractions and Proportions arith623 Introduction to fractions arith663 Writing ratios for real-world situations arith665 Understanding equivalent fractions arith212 Equivalent fractions arith666 Introduction to simplifying a fraction arith067 Simplifying a fraction arith044 Ordering fractions with the same denominator arith091 Ordering fractions with the same numerator arith092 Using a common denominator to order fractions arith687 Fractional position on a number line arith667 Plotting fractions on a number line arith618 Addition or subtraction of fractions with the same denominator arith109 Addition or subtraction of unit fractions arith664 Introduction to addition or subtraction of fractions with different denominators arith230 Addition or subtraction of fractions with different denominators arith100 Fractional part of a circle arith079 Product of a unit fraction and a whole number arith086 Product of a fraction and a whole number: Problem type 1 arith119 Introduction to fraction multiplication arith053 Fraction multiplication arith095 Multi-step word problem involving fractions and multiplication arith088 The reciprocal of a number arith694 Division involving a whole number and a fraction arith022 Fraction division arith662 Writing a mixed number and an improper fraction for a shaded region arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction arith215 Addition or subtraction of mixed numbers with the same denominator arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing arith085 Addition or subtraction of mixed numbers with different denominators arith020 Mixed number multiplication: Problem type 1 arith076 Mixed number multiplication: Problem type 2 arith068 Mixed number division arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers alge272 Solving a proportion of the form x/a = b/c arith064 Solving a word problem on proportions using a unit rate arith610 Word problem on proportions: Problem type 1 unit034 Converting between metric and U.S. Customary unit systems

Decimals and Percents arith127 Writing a decimal and a fraction for a shaded region arith110 Decimal place value: Tenths and hundredths arith220 Decimal place value: Hundreds to ten thousandths arith221 Rounding decimals arith129 Introduction to ordering decimals arith608 Ordering decimals arith609 Ordering fractions and decimals arith670 Converting a decimal to a fraction: Basic arith087 Converting a decimal to a proper fraction in simplest form: Advanced arith671 Converting a fraction with a denominator of 10, 100, or 1000 to a decimal arith222 Converting a fraction to a terminating decimal arith089 Converting a fraction to a repeating decimal

B.7. LV5 arith672 Converting a decimal to a mixed number arith223 Converting a mixed number to a decimal arith624 Addition of aligned decimals arith668 Addition with money arith013 Decimal addition with 3 numbers arith625 Subtraction of aligned decimals arith669 Subtraction with money arith626 Word problem with one decimal operation: Problem type 1 arith627 Word problem with one decimal operation: Problem type 2 arith131 Estimating a decimal sum or difference arith082 Multiplication of a decimal by a power of ten arith017 Multiplication of a decimal by a whole number arith055 Decimal multiplication: Problem type 1 arith046 Decimal multiplication: Problem type 2 arith045 Word problem with powers of ten arith628 Word problem with multiple decimal operations: Problem type 1 arith083 Division of a decimal by a power of ten arith081 Division of a decimal by a whole number arith019 Division of a decimal by a 2-digit decimal arith629 Word problem with multiple decimal operations: Problem type 2 arith674 Finding the percentage of a grid that is shaded arith226 Converting between percentages and decimals arith090 Converting a percentage to a fraction in simplest form arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50 arith069 Writing a ratio as a percentage without a calculator arith030 Finding a percentage of a whole number without a calculator: Basic arith074 Finding the sale price without a calculator given the original price and percent discount arith232 Finding simple interest without a calculator

Geometry and Measurement geom151 Measuring an angle with the protractor geom152 Drawing an angle with the protractor geom303 Acute, obtuse, and right angles geom159 Constructing congruent angles geom158 Constructing an angle bisector geom349 Naming segments, rays, and lines geom358 Identifying parallel and perpendicular lines geom154 Constructing the perpendicular bisector of a line segment geom361 Naming polygons geom306 Acute, obtuse, and right triangles geom307 Scalene, isosceles, and equilateral triangles geom801 Area of a triangle geom001 Finding an angle measure of a triangle given two angles geom908 Finding an angle measure for a triangle with an extended side geom870 Sum of the angle measures of a quadrilateral geom867 Identifying parallelograms, rectangles, and squares geom310 Classifying quadrilaterals geom532 Classifying parallelograms geom300 Perimeter of a square or a rectangle geom339 Perimeter of a polygon geom078 Sides of polygons having the same perimeter geom221 Finding the missing length in a figure geom353 Perimeter of a piecewise rectangular figure geom866 Perimeter and area on a grid geom019 Area of a square or a rectangle geom217 Finding the side length of a rectangle given its perimeter or area geom350 Distinguishing between area and perimeter geom351 Areas of rectangles with the same perimeter geom340 Area of a piecewise rectangular figure

247

248 APPENDIX B. PROGRAMS IN ALEKS geom022 Area of a parallelogram geom023 Area of a trapezoid geom347 Introduction to a circle: Diameter, radius, and chord geom016 Circumference of a circle geom802 Circumference and area of a circle geom869 Estimates and exact answers alge732 Finding patterns in shapes geom868 Classifying solids geom354 Volume of a rectangular prism made of unit cubes geom311 Volume of a rectangular prism geom090 Volume of a triangular prism geom031 Surface area of a cube or a rectangular prism geom345 Surface area of a piecewise rectangular prism made of unit cubes geom091 Surface area of a triangular prism geom219 Nets of solids geom348 Vertices, edges, and faces of a solid geom816 Side views of a solid made of cubes geom359 Identifying congruent shapes on a grid geom360 Identifying similar or congruent shapes on a grid geom037 Similar polygons geom355 Introduction to translations geom356 Introduction to reflections geom357 Identifying transformations geom334 Drawing lines of symmetry mstat058 Choosing a measuring tool mstat059 Choosing U.S. Customary measurement units mstat062 Reading a positive temperature from a thermometer mstat033 Measuring length to the nearest inch mstat034 Measuring length to the nearest quarter or half inch mstat035 Conversions involving measurements in feet and inches mstat036 Adding measurements in feet and inches unit005 U.S. Customary unit conversion with whole number values unit006 U.S. Customary unit conversion with whole number values: Two-step conversion unit007 U.S. Customary unit conversion with mixed number values: One-step conversion unit008 U.S. Customary unit conversion with mixed number values: Two-step conversion mstat060 Choosing metric measurement units mstat063 Measuring length to the nearest centimeter mstat064 Measuring length to the nearest millimeter unit001 Metric distance conversion with whole number values unit002 Metric mass or capacity conversion with whole number values unit003 Metric distance conversion with decimal values unit004 Metric conversion with decimal values: Two-step problem time010 Telling time time008 Reading a calendar unit012 Time unit conversion with whole number values time009 Introduction to adding time time006 Adding time time011 Introduction to elapsed time time007 Elapsed time

Algebra and Graphs mstat004 Constructing a histogram for numerical data mstat005 Constructing a bar graph for non-numerical data mstat037 Constructing a line plot mstat056 Interpreting a tally table mstat057 Interpreting a pictograph table mstat024 Interpreting a bar graph mstat044 Interpreting a double bar graph mstat007 Interpreting a line graph

B.7. LV5 stat804 Interpreting a circle graph or pie chart mstat031 Interpreting a stem-and-leaf plot mstat003 Mode of a data set mstat055 Finding the mode and range of a data set mstat001 Mean of a data set mstat028 Mean and median of a data set stat803 Finding the value for a new score that will yield a given mean mstat029 How changing a value affects the mean and median mstat025 Finding if a question can be answered by the data mstat041 Interpreting a tree diagram mstat040 Introduction to the counting principle stat106 Outcomes and event probability mstat054 Classifying likelihood mstat039 Understanding likelihood mstat026 Introduction to the probability of an event mstat010 Probability of an event mstat042 Interpreting a Venn diagram of 2 sets mstat043 Interpreting a Venn diagram of 3 sets arith699 Writing a signed number for a real-world situation mstat038 Reading the temperature from a thermometer alge286 Plotting integers on a number line arith691 Ordering integers arith605 Plotting rational numbers on a number line arith071 Absolute value of a number arith200 Integer addition: Problem type 1 arith108 Integer addition: Problem type 2 arith688 Integer subtraction: Problem type 1 arith689 Integer subtraction: Problem type 2 arith690 Integer subtraction: Problem type 3 arith701 Word problem with addition or subtraction of integers alge284 Evaluating an algebraic expression: Whole number addition or subtraction alge683 Evaluating an algebraic expression: Whole number multiplication or division alge285 Evaluating an algebraic expression: Whole numbers with two operations alge733 Writing a one-step expression for a real-world situation alge602 Writing a one-step variable expression for a real-world situation alge016 Translating a sentence into a one-step equation alge009 Additive property of equality with whole numbers alge010 Additive property of equality with integers alge800 Additive property of equality with decimals alge801 Additive property of equality with fractions and mixed numbers alge813 Solving simple equations with multiplication or division alge008 Multiplicative property of equality with whole numbers alge802 Solving a fraction word problem using a linear equation of the form Ax = B alge803 Using two steps to solve an equation with whole numbers alge281 Function tables with one-step rules alge282 Function tables with two-step rules mstat061 Describing an increasing or decreasing pattern from a table of values fun005 Writing a function rule given a table of ordered pairs: One-step rules alge278 Reading a point in quadrant 1 alge064 Reading a point in the coordinate plane alge279 Plotting a point in quadrant 1 alge067 Plotting a point in the coordinate plane alge283 Graphing whole number functions alge066 Finding a solution to a linear equation in two variables alge280 Graphing a line in quadrant 1 arith233 Introduction to exponents arith692 Writing expressions using exponents arith693 Order of operations with whole numbers and exponents: Basic arith683 Power of 10: Positive exponent arith036 Scientific notation with positive exponent arith016 Square root of a perfect square

249

250

## B.8

## Essential Mathematics

Whole Numbers

APPENDIX B. PROGRAMS IN ALEKS arith124 Whole number place value: Problem type 1 arith125 Whole number place value: Problem type 2 arith066 Expanded form arith643 Expanded form with zeros arith028 Numeral translation: Problem type 1 arith060 Numeral translation: Problem type 2 arith633 One-digit addition with carry arith634 Addition of 3 or 4 one-digit numbers arith001 Addition without carry arith635 Adding a 2-digit number and a 1-digit number with carry arith050 Addition with carry arith630 Addition with carry to the hundreds place arith012 Addition of large numbers arith636 Subtracting a 1-digit number from a 2-digit number arith007 Subtraction without borrowing arith006 Subtraction with borrowing arith682 Subtraction with multiple regrouping steps arith637 Subtraction and regrouping with zeros arith653 Fact families for addition and subtraction arith613 Word problem with addition or subtraction of whole numbers mstat061 Describing an increasing or decreasing pattern from a table of values arith126 Multiplication as repeated addition arith008 One-digit multiplication arith639 Using multiplication to find the number of squares arith679 Multiplication by 10, 100, and 1000 arith003 Multiplication without carry arith004 Multiplication with carry arith632 Multiplication with trailing zeros: Problem type 1 arith615 Introduction to multiplication of large numbers arith675 Understanding multiplication of a one-digit number with a larger number arith638 Multiplication with trailing zeros: Problem type 2 arith014 Multiplication of large numbers arith641 Multiples: Problem type 1 arith642 Multiples: Problem type 2 arith075 Division facts arith654 Fact families for multiplication and division arith614 Word problem with multiplication or division of whole numbers arith130 Word problem with multiplication and addition or subtraction of whole numbers arith451 Word problem on unit rates associated with ratios of whole numbers: Whole number answers arith243 Division of whole numbers given in fractional form arith711 Division involving zero arith052 Division without carry arith005 Division with carry arith901 Whole number division: 2-digit by 2-digit, no remainder arith902 Whole number division: 3-digit by 2-digit, no remainder arith680 Division with trailing zeros: Problem type 1 arith649 Division with trailing zeros: Problem type 2 arith616 Quotient and remainder: Problem type 1 arith644 Word problem on quotient and remainder arith617 Quotient and remainder: Problem type 2 arith631 Quotient and remainder: Problem type 3 arith650 Division involving quotients with intermediate zeros arith023 Word problem with division of whole numbers and rounding arith651 Introduction to inequalities arith652 Comparing a numerical expression with a number arith077 Ordering large numbers arith078 Rounding to tens or hundreds

B.8. ESSENTIAL MATHEMATICS arith123 Rounding to hundreds or thousands arith061 Rounding to thousands, ten thousands, or hundred thousands arith101 Estimating a sum of whole numbers arith102 Estimating a difference of whole numbers arith677 Estimating a product arith678 Estimating a quotient arith692 Writing expressions using exponents arith233 Introduction to exponents arith683 Power of 10: Positive exponent arith645 Introduction to parentheses arith865 Comparing numerical expressions with parentheses arith681 Introduction to order of operations arith048 Order of operations with whole numbers arith051 Order of operations with whole numbers and grouping symbols arith693 Order of operations with whole numbers and exponents: Basic arith713 Order of operations with whole numbers and exponents: Advanced arith646 Even and odd numbers arith647 Divisibility rules for 2, 5, and 10 arith648 Divisibility rules for 3 and 9 arith056 Factors arith034 Prime numbers arith035 Prime factorization arith033 Greatest common factor of 2 numbers arith516 Greatest common factor of 3 numbers arith409 Introduction to the distributive property arith657 Understanding the distributive property arith410 Introduction to factoring with numbers arith411 Factoring a sum or difference of whole numbers arith070 Least common multiple of 2 numbers arith804 Least common multiple of 3 numbers arith418 Word problem involving the least common multiple of 2 numbers arith240 Word problem with common multiples alge284 Evaluating an algebraic expression: Whole number addition or subtraction alge683 Evaluating an algebraic expression: Whole number multiplication or division alge285 Evaluating an algebraic expression: Whole numbers with two operations alge649 Evaluating a formula alge648 Evaluating an algebraic expression: Whole numbers with one operation and an exponent alge832 Evaluating an algebraic expression: Whole number operations and exponents alge733 Writing a one-step expression for a real-world situation alge831 Translating a phrase into a one-step expression alge291 Translating a phrase into a two-step expression alge650 Identifying solutions to a one-step linear equation: Problem type 1 alge651 Identifying solutions to a one-step linear equation: Problem type 2 alge009 Additive property of equality with whole numbers alge813 Solving simple equations with multiplication or division alge008 Multiplicative property of equality with whole numbers alge016 Translating a sentence into a one-step equation geom339 Perimeter of a polygon geom300 Perimeter of a square or a rectangle geom019 Area of a square or a rectangle geom866 Perimeter and area on a grid

Decimals arith110 Decimal place value: Tenths and hundredths arith220 Decimal place value: Hundreds to ten thousandths arith714 Writing a decimal number less than 1 given its name arith715 Writing a decimal number greater than 1 given its name arith716 Writing a decimal number given its name: Advanced arith829 Reading decimal position on a number line: Tenths

251

252 APPENDIX B. PROGRAMS IN ALEKS arith830 Reading decimal position on a number line: Hundredths arith831 Understanding decimal position on a number line using zoom: Hundredths arith832 Understanding decimal position on a number line using zoom: Thousandths arith129 Introduction to ordering decimals arith608 Ordering decimals arith221 Rounding decimals arith624 Addition of aligned decimals arith013 Decimal addition with 3 numbers arith734 Subtraction of aligned decimals arith735 Decimal subtraction: Basic arith736 Decimal subtraction: Advanced arith737 Decimal addition and subtraction with 3 or more numbers arith131 Estimating a decimal sum or difference arith668 Addition with money arith669 Subtraction with money arith132 Word problem with addition or subtraction of 2 decimals arith133 Word problem with addition of 3 or 4 decimals and whole numbers arith134 Word problem with subtraction of a whole number and a decimal: Regrouping with zeros arith739 Introduction to decimal multiplication arith017 Multiplication of a decimal by a whole number arith055 Decimal multiplication: Problem type 1 arith046 Decimal multiplication: Problem type 2 arith082 Multiplication of a decimal by a power of ten arith738 Multiplication of a decimal by a power of 0.1

arith740 Multiplication of decimals that have a product less than 0.1

arith752 Estimating a product of decimals arith135 Word problem with multiplication of a decimal and a whole number arith137 Word problem with multiplication of two decimals arith628 Word problem with multiple decimal operations: Problem type 1 arith744 Whole number division with decimal answers arith081 Division of a decimal by a whole number arith743 Division of a decimal by a 1-digit decimal arith019 Division of a decimal by a 2-digit decimal arith083 Division of a decimal by a power of ten arith742 Division of a decimal by a power of 0.1

arith745 Decimal division with rounding arith136 Word problem with division of a decimal and a whole number arith138 Word problem with division of two decimals arith629 Word problem with multiple decimal operations: Problem type 2 arith103 Average of two numbers arith753 Squaring decimal bases: Products greater than 0.1

arith741 Exponents and decimals: Products less than 0.1

arith720 Order of operations with decimals: Problem type 1 arith746 Order of operations with decimals: Problem type 2 arith747 Order of operations with decimals: Problem type 3 scinot023 Introduction to scientific notation with positive exponents arith036 Scientific notation with positive exponent

Fractions arith623 Introduction to fractions arith665 Understanding equivalent fractions arith212 Equivalent fractions arith666 Introduction to simplifying a fraction arith067 Simplifying a fraction arith687 Fractional position on a number line arith667 Plotting fractions on a number line arith044 Ordering fractions with the same denominator arith091 Ordering fractions with the same numerator arith092 Using a common denominator to order fractions

B.8. ESSENTIAL MATHEMATICS arith079 Product of a unit fraction and a whole number arith086 Product of a fraction and a whole number: Problem type 1 arith119 Introduction to fraction multiplication arith053 Fraction multiplication arith812 Product of a fraction and a whole number: Problem type 2 arith905 Determining if a quantity is increased or decreased when multiplied by a fraction arith509 Modeling multiplication of proper fractions arith813 Multiplication of 3 fractions arith818 Word problem involving fractions and multiplication arith095 Multi-step word problem involving fractions and multiplication arith088 The reciprocal of a number arith694 Division involving a whole number and a fraction arith022 Fraction division arith507 Fact families for multiplication and division of fractions arith508 Modeling division of a whole number by a fraction arith819 Word problem involving fractions and division arith618 Addition or subtraction of fractions with the same denominator arith802 Addition or subtraction of fractions with the same denominator and simplification arith801 Finding the LCD of two fractions arith109 Addition or subtraction of unit fractions arith664 Introduction to addition or subtraction of fractions with different denominators arith230 Addition or subtraction of fractions with different denominators arith803 Addition and subtraction of 3 fractions with different denominators arith805 Word problem involving addition or subtraction of fractions with different denominators arith100 Fractional part of a circle arith662 Writing a mixed number and an improper fraction for a shaded region arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction arith215 Addition or subtraction of mixed numbers with the same denominator arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing arith806 Addition or subtraction of mixed numbers with different denominators and no carry or borrow arith808 Addition of mixed numbers with different denominators and carry arith809 Subtraction of mixed numbers with different denominators and borrowing arith807 Addition and subtraction of 3 mixed numbers with different denominators arith810 Word problem involving addition or subtraction of mixed numbers with different denominators arith815 Mixed number multiplication arith816 Multiplication of a mixed number and a whole number arith817 Division with a mixed number and a whole number arith068 Mixed number division arith820 Word problem involving multiplication or division with mixed numbers arith127 Writing a decimal and a fraction for a shaded region arith725 Converting a fraction with a denominator of 10 or 100 to a decimal arith726 Converting a fraction with a denominator of 100 or 1000 to a decimal arith113 Converting a proper fraction with a denominator of 2, 4, or 5 to a decimal arith114 Converting a mixed number with a denominator of 2, 4, or 5 to a decimal arith727 Converting a fraction to a terminating decimal: Basic arith728 Converting a fraction to a terminating decimal: Advanced arith730 Converting a fraction to a repeating decimal: Basic arith731 Converting a fraction to a repeating decimal: Advanced arith733 Using a calculator to convert a fraction to a rounded decimal arith111 Converting a mixed number to a terminating decimal: Basic arith112 Converting a mixed number to a terminating decimal: Advanced arith732 Converting a fraction or mixed number to a rounded decimal arith609 Ordering fractions and decimals arith717 Converting a decimal to a proper fraction without simplifying: Basic arith719 Converting a decimal to a proper fraction without simplifying: Advanced arith718 Converting a decimal to a proper fraction in simplest form: Basic arith087 Converting a decimal to a proper fraction in simplest form: Advanced arith721 Converting a decimal to a mixed number and an improper fraction without simplifying arith722 Converting a decimal to a mixed number and an improper fraction in simplest form: Basic arith724 Converting a decimal to a mixed number and an improper fraction in simplest form: Advanced

253

254 APPENDIX B. PROGRAMS IN ALEKS arith513 Identifying rational decimal numbers arith821 Exponents and fractions arith859 Order of operations with fractions: Problem type 1 arith860 Order of operations with fractions: Problem type 2 arith861 Order of operations with fractions: Problem type 3 arith695 Complex fraction without variables: Problem type 1 arith748 Addition or subtraction with a decimal and a mixed number arith749 Multiplication with a decimal and a fraction

Ratios, Proportions, and Measurement arith823 Writing ratios using different notations arith663 Writing ratios for real-world situations arith450 Identifying statements that describe a ratio arith824 Simplifying a ratio of whole numbers: Problem type 1 arith825 Simplifying a ratio of decimals arith827 Finding a unit price arith455 Using tables to compare ratios arith828 Computing unit prices to find the better buy arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers arith064 Solving a word problem on proportions using a unit rate alge823 Solving a one-step word problem using the formula d = rt alge281 Function tables with one-step rules arith452 Finding missing values in a table of equivalent ratios arith453 Using a table of equivalent ratios to find a missing quantity in a ratio arith504 Writing an equation to represent a proportional relationship alge819 Solving a proportion of the form x/a=b/c: Basic alge272 Solving a proportion of the form x/a = b/c arith610 Word problem on proportions: Problem type 1 arith611 Word problem on proportions: Problem type 2 arith045 Word problem with powers of ten geom359 Identifying congruent shapes on a grid geom360 Identifying similar or congruent shapes on a grid geom037 Similar polygons geom038 Similar right triangles geom337 Indirect measurement geom538 Finding lengths using scale models geom539 Finding a scale factor: Same units geom541 Using a scale drawing to find actual area geom542 Reproducing a scale drawing at a different scale mstat058 Choosing a measuring tool mstat059 Choosing U.S. Customary measurement units mstat033 Measuring length to the nearest inch mstat034 Measuring length to the nearest quarter or half inch unit005 U.S. Customary unit conversion with whole number values mstat035 Conversions involving measurements in feet and inches mstat036 Adding measurements in feet and inches unit006 U.S. Customary unit conversion with whole number values: Two-step conversion unit007 U.S. Customary unit conversion with mixed number values: One-step conversion unit008 U.S. Customary unit conversion with mixed number values: Two-step conversion unit009 U.S. Customary area unit conversion with whole number values mstat060 Choosing metric measurement units mstat063 Measuring length to the nearest centimeter mstat064 Measuring length to the nearest millimeter unit001 Metric distance conversion with whole number values unit002 Metric mass or capacity conversion with whole number values unit003 Metric distance conversion with decimal values unit004 Metric conversion with decimal values: Two-step problem unit010 Metric area unit conversion with decimal values unit012 Time unit conversion with whole number values

B.8. ESSENTIAL MATHEMATICS time009 Introduction to adding time time006 Adding time time011 Introduction to elapsed time time007 Elapsed time mstat062 Reading a positive temperature from a thermometer mstat065 Converting between temperatures in Fahrenheit and Celsius arith826 Simplifying a ratio of whole numbers: Problem type 2 alge218 Solving a word problem involving rates and time conversion unit034 Converting between metric and U.S. Customary unit systems unit035 Converting between compound units: Basic unit036 Converting between compound units: Advanced

Percents arith836 Converting a fraction with a denominator of 100 to a percentage arith837 Converting a percentage to a fraction with a denominator of 100 arith674 Finding the percentage of a grid that is shaded arith903 Representing benchmark percentages on a grid arith723 Introduction to converting a percentage to a decimal arith833 Introduction to converting a decimal to a percentage arith834 Converting between percentages and decimals arith841 Converting a mixed number percentage to a decimal arith835 Converting between percentages and decimals in a real-world situation arith090 Converting a percentage to a fraction in simplest form arith839 Converting a decimal percentage to a fraction arith838 Converting a fraction to a percentage: Denominator of 4, 5, or 10 arith904 Finding benchmark fractions and percentages for a figure arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50 arith843 Using a calculator to convert a fraction to a rounded percentage arith842 Converting a fraction to a percentage in a real-world situation arith840 Finding a percentage of a whole number arith030 Finding a percentage of a whole number without a calculator: Basic arith844 Finding a percentage of a whole number without a calculator: Advanced arith862 Applying the percent equation: Problem type 1 arith863 Applying the percent equation: Problem type 2 arith845 Finding a percentage of a total amount: Real-world situations arith846 Finding a percentage of a total amount without a calculator: Sales tax, commission, discount arith857 Estimating a tip without a calculator arith069 Writing a ratio as a percentage without a calculator arith850 Finding the rate of a tax or commission arith849 Finding the total amount given the percentage of a partial amount stat805 Making a reasonable inference based on proportion statistics stat804 Interpreting a circle graph or pie chart arith856 Finding a percentage of a total amount in a circle graph stat801 Computations from a circle graph arith852 Finding the multiplier to give a final amount after a percentage increase or decrease arith851 Finding the final amount given the original amount and a percentage increase or decrease arith847 Finding the sale price given the original price and percent discount arith074 Finding the sale price without a calculator given the original price and percent discount arith848 Finding the total cost including tax or markup arith855 Finding the original amount given the result of a percentage increase or decrease arith031 Finding the original price given the sale price and percent discount arith858 Finding the percentage increase or decrease: Basic arith225 Finding the percentage increase or decrease: Advanced arith232 Finding simple interest without a calculator arith918 Comparing discounts arith914 Calculations involving paying for college arith916 Computing percentages for categories of a budget arith921 Comparing annual salaries of different occupations arith911 Calculations involving purchases with debit and credit cards

255

256 APPENDIX B. PROGRAMS IN ALEKS arith950 Comparing costs of checking accounts arith951 Balancing a check register arith912 Reading a credit report arith913 Understanding the impact of a credit score

Integers and Rational Numbers alge286 Plotting integers on a number line mstat038 Reading the temperature from a thermometer arith691 Ordering integers arith415 Using a number line to compare integers arith699 Writing a signed number for a real-world situation arith400 Interpreting a table of signed numbers that relate to a real-world situation: Problem type 1 arith511 Interpreting a table of signed numbers that relate to a real-world situation: Problem type 2 arith416 Comparing signed numbers relating to a real-world situation arith402 Plotting opposite integers on a number line arith403 Finding opposites of integers arith071 Absolute value of a number arith412 Finding all numbers with a given absolute value arith605 Plotting rational numbers on a number line arith200 Integer addition: Problem type 1 arith108 Integer addition: Problem type 2 arith431 Identifying a sum as a point located a given distance from another point arith430 Identifying relative change when combining two quantities arith688 Integer subtraction: Problem type 1 arith689 Integer subtraction: Problem type 2 arith690 Integer subtraction: Problem type 3 arith754 Addition and subtraction with 3 integers arith755 Addition and subtraction with 4 or 5 integers arith440 Operations with absolute value: Problem type 1 arith104 Operations with absolute value: Problem type 2 alge694 Computing the distance between two integers on a number line arith433 Computing and understanding distances between integers on a number line arith701 Word problem with addition or subtraction of integers arith231 Integer multiplication and division arith800 Multiplication of 3 or 4 integers arith952 Word problem with multiplication or division of integers arith702 Exponents and integers: Problem type 1 arith118 Order of operations with integers arith600 Order of operations with integers and exponents alge790 Evaluating expressions with exponents of zero arith684 Power of 10: Negative exponent scinot024 Introduction to scientific notation with negative exponents arith037 Scientific notation with negative exponent scinot012 Converting between scientific notation and standard form in a real-world situation arith117 Signed decimal addition and subtraction arith234 Signed decimal addition and subtraction with 3 numbers arith750 Signed decimal multiplication arith751 Signed decimal division alge660 Identifying equivalent signed fractions arith822 Signed fraction multiplication: Basic arith105 Signed fraction multiplication: Advanced arith814 Signed fraction division arith116 Signed fraction addition or subtraction: Basic arith864 Signed fraction subtraction involving double negation arith106 Signed fraction addition or subtraction: Advanced arith811 Addition and subtraction of 3 fractions involving signs geom525 Computing distances between decimals on the number line alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction alge004 Evaluating a quadratic expression: Integers

B.8. ESSENTIAL MATHEMATICS alge302 Evaluating a linear expression: Signed decimal addition and subtraction alge303 Evaluating a linear expression: Signed decimal multiplication with addition or subtraction alge808 Evaluating a linear expression: Signed fraction multiplication with addition or subtraction alge001 Identifying numbers as integers or non-integers alge647 Identifying like terms alge700 Combining like terms: Whole number coefficients alge607 Combining like terms: Integer coefficients arith655 Introduction to properties of addition alge187 Properties of addition alge665 Combining like terms: Decimal coefficients alge666 Combining like terms: Fractional coefficients alge310 Multiplying a constant and a linear monomial alge606 Distributive property: Whole number coefficients alge610 Distributive property: Fractional coefficients alge605 Factoring a linear binomial alge612 Identifying parts in an algebraic expression alge613 Identifying equivalent algebraic expressions arith656 Introduction to properties of multiplication alge188 Properties of real numbers alge608 Using distribution and combining like terms to simplify: Univariate alge667 Identifying properties used to simplify an algebraic expression

Equations and Inequalities alge800 Additive property of equality with decimals alge801 Additive property of equality with fractions and mixed numbers alge010 Additive property of equality with integers alge836 Additive property of equality with signed fractions alge825 Multiplicative property of equality with decimals alge646 Multiplicative property of equality with whole numbers: Fractional answers alge820 Multiplicative property of equality with fractions alge797 Multiplicative property of equality with integers alge012 Multiplicative property of equality with signed fractions alge834 Identifying solutions to a linear equation in one variable: Two-step equations alge803 Using two steps to solve an equation with whole numbers alge266 Additive property of equality with a negative coefficient alge006 Solving a two-step equation with integers alge920 Introduction to solving an equation with parentheses alge837 Solving a multi-step equation given in fractional form alge838 Introduction to solving an equation with variables on the same side alge862 Solving a linear equation with several occurrences of the variable: Variables on the same side alge611 Introduction to solving a linear equation with a variable on each side alge658 Introduction to solving a rational equation alge802 Solving a fraction word problem using a linear equation of the form Ax = B alge671 Choosing stories that can be represented by given one-step equations alge841 Translating a sentence into a multi-step equation alge628 Writing an equation of the form Ax + B = C to solve a word problem alge618 Comparing arithmetic and algebraic solutions to a word problem alge672 Choosing stories that can be represented by given two-step equations alge014 Solving a word problem with two unknowns using a linear equation alge511 Solving for a variable in terms of other variables using addition or subtraction: Basic alge513 Solving for a variable in terms of other variables using multiplication or division: Basic alge015 Translating a sentence by using an inequality symbol alge845 Translating a sentence into a one-step inequality alge653 Introduction to identifying solutions to an inequality alge748 Writing an inequality for a real-world situation alge017 Graphing a linear inequality on the number line alge822 Writing an inequality given a graph on the number line alge166 Graphing a compound inequality on the number line alge652 Identifying solutions to a one-step linear inequality

257

258 APPENDIX B. PROGRAMS IN ALEKS alge848 Additive property of inequality with whole numbers alge849 Additive property of inequality with integers alge809 Multiplicative property of inequality with whole numbers alge854 Multiplicative property of inequality with integers alge636 Solving a two-step linear inequality with whole numbers alge846 Translating a sentence into a multi-step inequality alge621 Solving a word problem using a one-step linear inequality alge623 Solving a word problem using a two-step linear inequality

Graphs and Functions alge278 Reading a point in quadrant 1 alge279 Plotting a point in quadrant 1 alge064 Reading a point in the coordinate plane alge067 Plotting a point in the coordinate plane alge692 Plotting a point in quadrant 1: Mixed number coordinates alge693 Plotting a point in the coordinate plane: Mixed number coordinates arith404 Naming the quadrant or axis of a point given its graph arith405 Naming the quadrant or axis of a point given its coordinates arith406 Naming the quadrant or axis of a point given the signs of its coordinates alge695 Finding distances between points that share a common coordinate: Problem type 1 alge696 Finding distances between points that share a common coordinate: Problem type 2 arith454 Making a table and plotting points given a unit rate alge283 Graphing whole number functions alge282 Function tables with two-step rules alge850 Table for a linear equation fun001 Table for a linear function fun005 Writing a function rule given a table of ordered pairs: One-step rules fun006 Writing a function rule given a table of ordered pairs: Two-step rules alge873 Identifying solutions to a linear equation in two variables alge066 Finding a solution to a linear equation in two variables alge280 Graphing a line in quadrant 1 alge877 Graphing a linear equation of the form y = mx alge878 Graphing a line given its equation in slope-intercept form: Integer slope alge879 Graphing a line given its equation in slope-intercept form: Fractional slope alge198 Graphing a vertical or horizontal line alge884 Finding x- and y-intercepts given the graph of a line on a grid mstat007 Interpreting a line graph alge575 Finding slope given the graph of a line in quadrant 1 that models a real-world situation alge875 Classifying slopes given graphs of lines alge886 Finding slope given the graph of a line on a grid alge887 Finding slope given two points on the line alge885 Finding the slope of horizontal and vertical lines alge630 Finding outputs of a one-step function that models a real-world situation: Two variable equation alge632 Finding outputs of a two-step function with decimals that models a real-world situation: Two variable equation alge633 Finding inputs and outputs of a two-step function that models a real-world situation: Two variable equation alge655 Writing and evaluating a function that models a real-world situation: Basic alge897 Writing and evaluating a function that models a real-world situation: Advanced alge654 Graphing ordered pairs and writing an equation from a table of values in context alge656 Writing an equation and drawing its graph to model a real-world situation: Basic alge701 Writing an equation and drawing its graph to model a real-world situation: Advanced alge818 Finding the initial amount and rate of change given a graph of a linear function alge670 Identifying independent and dependent quantities from tables and graphs mstat052 Identifying independent and dependent variables from equations or real-world situations alge999 Finding where a function is increasing, decreasing, or constant given the graph mstat018 Choosing a graph to fit a narrative: Basic mstat051 Choosing a graph to fit a narrative : Advanced alge263 Interpreting the graphs of two functions

B.8. ESSENTIAL MATHEMATICS alge925 Finding the next terms of an arithmetic sequence with whole numbers alge933 Finding the next terms of a geometric sequence with whole numbers alge732 Finding patterns in shapes alge906 Finding the next terms of an arithmetic sequence with integers alge979 Identifying arithmetic sequences and finding the common difference alge931 Finding a specified term of an arithmetic sequence given the first terms alge907 Finding the next terms of a geometric sequence with signed numbers alge981 Identifying arithmetic and geometric sequences alge980 Identifying geometric sequences and finding the common ratio

Angles, Lines, and Polygons geom151 Measuring an angle with the protractor geom152 Drawing an angle with the protractor geom303 Acute, obtuse, and right angles geom039 Finding supplementary and complementary angles geom551 Finding the complement or supplement of an angle given a figure geom305 Identifying supplementary and vertical angles geom553 Finding angle measures given two intersecting lines geom304 Identifying corresponding and alternate angles geom349 Naming segments, rays, and lines geom358 Identifying parallel and perpendicular lines geom554 Finding angle measures given two parallel lines cut by a transversal geom154 Constructing the perpendicular bisector of a line segment geom158 Constructing an angle bisector geom159 Constructing congruent angles geom150 Constructing a pair of perpendicular lines geom157 Constructing a pair of parallel lines geom306 Acute, obtuse, and right triangles geom307 Scalene, isosceles, and equilateral triangles geom001 Finding an angle measure of a triangle given two angles geom908 Finding an angle measure for a triangle with an extended side geom812 Finding an angle measure given extended triangles geom813 Finding an angle measure given a triangle and parallel lines geom519 Identifying and naming congruent parts of congruent triangles geom543 Drawing a circle with a given radius or diameter geom544 Creating triangles from given side lengths: Problem type 1 geom634 Creating triangles from given side lengths: Problem type 2 geom844 Triangle inequality: Problem type 1 geom548 Determining if a triangle is possible based on given angle measures geom546 Drawing triangles with given conditions: Angle measures geom547 Drawing triangles with given conditions: Side lengths and angle measures geom545 Drawing triangles with given side lengths using a compass geom361 Naming polygons mstat042 Interpreting a Venn diagram of 2 sets geom536 Drawing and identifying a polygon in the coordinate plane geom867 Identifying parallelograms, rectangles, and squares geom310 Classifying quadrilaterals geom532 Classifying parallelograms geom818 Finding the coordinates of a point to make a parallelogram geom870 Sum of the angle measures of a quadrilateral geom852 The sum of interior angle measures in a convex polygon arith016 Square root of a perfect square alge413 Finding all square roots of a number arith763 Using a calculator to approximate a square root arith602 Estimating a square root alge407 Introduction to the Pythagorean Theorem geom044 Pythagorean Theorem alge408 Word problem involving the Pythagorean Theorem geom603 Identifying side lengths that give right triangles

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260 APPENDIX B. PROGRAMS IN ALEKS

Transformations geom357 Identifying transformations geom355 Introduction to translations geom596 Translating a point and giving its coordinates: One step geom909 Translating a point and giving its coordinates: Two steps geom597 Properties of translated figures geom598 Determining if figures are related by a translation geom330 Translating a polygon geom356 Introduction to reflections arith408 Reflecting a point across an axis geom533 Reflecting a point across both coordinate axes geom590 Reflecting a point across an axis and giving its coordinates arith407 Coordinates of a point reflected across an axis geom560 Coordinates of a point reflected across both axes geom534 Reflecting a polygon across the x-axis or y-axis geom591 Properties of reflected figures geom592 Determining if figures are related by a reflection geom332 Reflecting a polygon over a vertical or horizontal line geom334 Drawing lines of symmetry geom602 Finding the coordinates of a point reflected across an axis and translated geom815 Finding an angle of rotation geom624 Identifying rotational symmetry and angles of rotation geom593 Rotating a point and giving its coordinates geom594 Properties of rotated figures geom595 Determining if figures are related by a rotation geom335 Rotating a figure about the origin geom580 Determining if figures are congruent and related by a transformation geom606 Dilating a segment and giving the coordinates of its endpoints geom607 The effect of dilation on side length geom608 Determining if figures are related by a dilation geom636 The effect of dilation on area

Perimeters, Areas, and Volumes geom618 Perimeter of a polygon involving mixed numbers and fractions geom078 Sides of polygons having the same perimeter geom221 Finding the missing length in a figure geom353 Perimeter of a piecewise rectangular figure alge615 Writing algebraic expressions for the perimeter of a figure geom620 Area of a rectangle involving fractions geom619 Area of a rectangle involving mixed numbers and fractions geom350 Distinguishing between area and perimeter geom351 Areas of rectangles with the same perimeter geom869 Estimates and exact answers alge616 Writing algebraic expressions for the area of a figure geom410 Word problem involving the area of a square or a rectangle geom217 Finding the side length of a rectangle given its perimeter or area geom340 Area of a piecewise rectangular figure geom562 Area between two rectangles geom142 Word problem involving the area between two rectangles geom501 Finding the area of a right triangle on a grid geom509 Finding the area of a right triangle or its corresponding rectangle geom801 Area of a triangle geom517 Finding the area of a trapezoid on a grid by using triangles and rectangles geom344 Area involving rectangles and triangles geom022 Area of a parallelogram geom023 Area of a trapezoid geom537 Finding the perimeter or area of a rectangle in the coordinate plane

B.8. ESSENTIAL MATHEMATICS geom832 Area of quadrilaterals in the coordinate plane geom347 Introduction to a circle: Diameter, radius, and chord geom016 Circumference of a circle geom218 Finding the radius or the diameter of a circle given its circumference geom838 Circumference ratios geom301 Perimeter involving rectangles and circles geom026 Area of a circle geom802 Circumference and area of a circle geom570 Distinguishing between the area and circumference of a circle geom302 Area involving rectangles and circles geom563 Area between two concentric circles geom036 Word problem involving the area between two concentric circles geom214 Area involving inscribed figures geom868 Classifying solids geom348 Vertices, edges, and faces of a solid geom830 Counting the cubes in a solid made of cubes geom816 Side views of a solid made of cubes geom550 Identifying horizontal and vertical cross sections of solids geom311 Volume of a rectangular prism geom354 Volume of a rectangular prism made of unit cubes geom518 Volume of a solid made of cubes with unit fraction edge lengths geom535 Volume of a rectangular prism with fractional edge lengths alge617 Writing equivalent expressions for the volume of a rectangular prism geom571 Word problem involving the volume of a rectangular prism geom558 Word problem involving the rate of filling or emptying a rectangular prism geom505 Volume of a piecewise rectangular prism geom090 Volume of a triangular prism geom572 Word problem involving the volume of a triangular prism geom033 Volume of a pyramid geom637 Relating the volumes of a rectangular prism and a rectangular pyramid geom638 Relating the volumes of a triangular prism and a triangular pyramid geom035 Volume of a cylinder geom573 Word problem involving the volume of a cylinder geom092 Word problem involving the rate of filling or emptying a cylinder geom622 Volume of a cone geom086 Volume of a cone: Exact answers in terms of pi geom639 Relating the volumes of a cylinder and a cone geom575 Word problem involving the volume of a cone geom219 Nets of solids geom031 Surface area of a cube or a rectangular prism geom632 Surface area of a rectangular prism made of unit cubes geom555 Distinguishing between surface area and volume geom556 Using a net to find the surface area of a rectangular prism geom576 Word problem involving the surface area of a rectangular prism geom345 Surface area of a piecewise rectangular prism made of unit cubes geom091 Surface area of a triangular prism geom557 Using a net to find the surface area of a triangular prism geom621 Surface area of a cylinder geom034 Surface area of a cylinder: Exact answers in terms of pi geom578 Word problem involving the surface area of a cylinder

Data Analysis and Probability mstat088 Identifying statistical questions mstat080 Choosing an appropriate method for gathering data: Problem type 1 mstat081 Choosing an appropriate method for gathering data: Problem type 2 mstat056 Interpreting a tally table mstat097 Constructing a two-way frequency table: Basic mstat098 Constructing a two-way frequency table: Advanced mstat049 Computing a percentage from a table of values

261

262 APPENDIX B. PROGRAMS IN ALEKS mstat087 Making an inference using a two-way frequency table stat020 Calculating relative frequencies in a contingency table mstat025 Finding if a question can be answered by the data mstat037 Constructing a line plot mstat005 Constructing a bar graph for non-numerical data mstat004 Constructing a histogram for numerical data mstat024 Interpreting a bar graph mstat044 Interpreting a double bar graph mstat057 Interpreting a pictograph table mstat031 Interpreting a stem-and-leaf plot geom814 Angle measure in a circle graph mstat094 Constructing a scatter plot mstat030 Sketching the line of best fit mstat023 Scatter plots and correlation mstat003 Mode of a data set mstat055 Finding the mode and range of a data set mstat092 Finding the mode and range from a line plot mstat001 Mean of a data set mstat077 Using a model to find the mean mstat075 Understanding the mean graphically: Two bars mstat076 Understanding the mean graphically: Four or more bars mstat091 Finding the mean of a symmetric distribution mstat079 Finding sample size and comparing samples for estimating the mean mstat089 Computations involving the mean, sample size, and sum of a data set stat803 Finding the value for a new score that will yield a given mean stat802 Rejecting unreasonable claims based on average statistics mstat066 Weighted mean mstat028 Mean and median of a data set mstat029 How changing a value affects the mean and median mstat095 Finding outliers in a data set mstat053 Choosing the best measure to describe data mstat078 Comparing measures of center and variation mstat027 Using back-to-back stem-and-leaf plots to compare data sets mstat072 Five-number summary and interquartile range mstat006 Constructing a box-and-whisker plot mstat073 Using box-and-whisker plots to compare data sets mstat082 Computing mean absolute deviation from a list of numerical values mstat083 Computing mean absolute deviation from a bar graph mstat043 Interpreting a Venn diagram of 3 sets mstat041 Interpreting a tree diagram mstat040 Introduction to the counting principle mstat015 Counting principle mstat099 Determining a sample space and outcomes for a simple event mstat100 Determining a sample space and outcomes for a compound event pcalc082 Factorial expressions mstat017 Computing permutations and combinations mstat008 Word problem involving permutations mstat009 Word problem involving combinations mstat054 Classifying likelihood mstat026 Introduction to the probability of an event mstat010 Probability of an event mstat039 Understanding likelihood mstat048 Odds of an event stat106 Outcomes and event probability mstat011 Area as probability mstat046 Experimental and theoretical probability mstat047 Introduction to expectation mstat012 Probability of independent events mstat013 Probability of dependent events

B.9. MS RTI TIER 3

## B.9

## MS RtI Tier 3

Whole Numbers arith124 Whole number place value: Problem type 1 arith125 Whole number place value: Problem type 2 arith066 Expanded form arith028 Numeral translation: Problem type 1 arith060 Numeral translation: Problem type 2 arith633 One-digit addition with carry arith634 Addition of 3 or 4 one-digit numbers arith635 Adding a 2-digit number and a 1-digit number with carry arith001 Addition without carry arith050 Addition with carry arith630 Addition with carry to the hundreds place arith012 Addition of large numbers arith660 Finding the value of a collection of coins arith661 Finding the value of a collection of bills and coins arith636 Subtracting a 1-digit number from a 2-digit number arith007 Subtraction without borrowing arith006 Subtraction with borrowing arith128 Adding or subtracting 10, 100, or 1000 arith682 Subtraction with multiple regrouping steps arith637 Subtraction and regrouping with zeros arith613 Word problem with addition or subtraction of whole numbers arith008 One-digit multiplication arith679 Multiplication by 10, 100, and 1000 arith675 Understanding multiplication of a one-digit number with a larger number arith003 Multiplication without carry arith004 Multiplication with carry arith615 Introduction to multiplication of large numbers arith632 Multiplication with trailing zeros: Problem type 1 arith638 Multiplication with trailing zeros: Problem type 2 arith014 Multiplication of large numbers arith126 Multiplication as repeated addition arith639 Using multiplication to find the number of squares arith640 Using addition and multiplication to count the objects on a grid arith641 Multiples: Problem type 1 arith642 Multiples: Problem type 2 arith075 Division facts arith052 Division without carry arith005 Division with carry arith680 Division with trailing zeros: Problem type 1 arith649 Division with trailing zeros: Problem type 2 arith650 Division involving quotients with intermediate zeros arith616 Quotient and remainder: Problem type 1 arith644 Word problem on quotient and remainder arith617 Quotient and remainder: Problem type 2 arith631 Quotient and remainder: Problem type 3 arith023 Word problem with division of whole numbers and rounding arith614 Word problem with multiplication or division of whole numbers arith130 Word problem with multiplication and addition or subtraction of whole numbers arith651 Introduction to inequalities arith652 Comparing a numerical expression with a number arith077 Ordering large numbers arith078 Rounding to tens or hundreds arith123 Rounding to hundreds or thousands arith061 Rounding to thousands, ten thousands, or hundred thousands arith101 Estimating a sum of whole numbers arith102 Estimating a difference of whole numbers arith677 Estimating a product

263

264 APPENDIX B. PROGRAMS IN ALEKS arith678 Estimating a quotient arith645 Introduction to parentheses arith681 Introduction to order of operations arith048 Order of operations with whole numbers arith646 Even and odd numbers arith647 Divisibility rules for 2, 5, and 10 arith056 Factors arith034 Prime numbers arith035 Prime factorization arith033 Greatest common factor of 2 numbers arith070 Least common multiple of 2 numbers arith655 Introduction to properties of addition arith656 Introduction to properties of multiplication arith653 Fact families for addition and subtraction arith654 Fact families for multiplication and division alge807 Finding the next terms of a sequence with whole numbers

Fractions arith623 Introduction to fractions arith665 Understanding equivalent fractions arith212 Equivalent fractions arith666 Introduction to simplifying a fraction arith067 Simplifying a fraction arith044 Ordering fractions with the same denominator arith091 Ordering fractions with the same numerator arith092 Using a common denominator to order fractions arith687 Fractional position on a number line arith667 Plotting fractions on a number line arith618 Addition or subtraction of fractions with the same denominator arith109 Addition or subtraction of unit fractions arith664 Introduction to addition or subtraction of fractions with different denominators arith230 Addition or subtraction of fractions with different denominators arith079 Product of a unit fraction and a whole number arith086 Product of a fraction and a whole number: Problem type 1 arith119 Introduction to fraction multiplication arith053 Fraction multiplication arith088 The reciprocal of a number arith694 Division involving a whole number and a fraction arith022 Fraction division arith662 Writing a mixed number and an improper fraction for a shaded region arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction arith215 Addition or subtraction of mixed numbers with the same denominator arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing arith020 Mixed number multiplication: Problem type 1

Decimals arith127 Writing a decimal and a fraction for a shaded region arith110 Decimal place value: Tenths and hundredths arith220 Decimal place value: Hundreds to ten thousandths arith221 Rounding decimals arith129 Introduction to ordering decimals arith608 Ordering decimals arith670 Converting a decimal to a fraction: Basic arith087 Converting a decimal to a proper fraction in simplest form: Advanced

B.9. MS RTI TIER 3 arith671 Converting a fraction with a denominator of 10, 100, or 1000 to a decimal arith222 Converting a fraction to a terminating decimal arith672 Converting a decimal to a mixed number arith624 Addition of aligned decimals arith668 Addition with money arith013 Decimal addition with 3 numbers arith625 Subtraction of aligned decimals arith669 Subtraction with money arith626 Word problem with one decimal operation: Problem type 1 arith627 Word problem with one decimal operation: Problem type 2 arith131 Estimating a decimal sum or difference arith082 Multiplication of a decimal by a power of ten arith017 Multiplication of a decimal by a whole number arith055 Decimal multiplication: Problem type 1 arith628 Word problem with multiple decimal operations: Problem type 1 arith083 Division of a decimal by a power of ten arith081 Division of a decimal by a whole number arith019 Division of a decimal by a 2-digit decimal arith064 Solving a word problem on proportions using a unit rate arith674 Finding the percentage of a grid that is shaded arith090 Converting a percentage to a fraction in simplest form arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50 arith030 Finding a percentage of a whole number without a calculator: Basic

Geometry geom151 Measuring an angle with the protractor geom303 Acute, obtuse, and right angles geom306 Acute, obtuse, and right triangles geom001 Finding an angle measure of a triangle given two angles geom300 Perimeter of a square or a rectangle geom339 Perimeter of a polygon geom221 Finding the missing length in a figure geom866 Perimeter and area on a grid geom019 Area of a square or a rectangle geom350 Distinguishing between area and perimeter geom868 Classifying solids geom311 Volume of a rectangular prism geom354 Volume of a rectangular prism made of unit cubes geom219 Nets of solids

Measurement and Data mstat058 Choosing a measuring tool mstat059 Choosing U.S. Customary measurement units mstat062 Reading a positive temperature from a thermometer mstat033 Measuring length to the nearest inch mstat035 Conversions involving measurements in feet and inches unit005 U.S. Customary unit conversion with whole number values unit006 U.S. Customary unit conversion with whole number values: Two-step conversion mstat060 Choosing metric measurement units mstat063 Measuring length to the nearest centimeter unit001 Metric distance conversion with whole number values unit002 Metric mass or capacity conversion with whole number values time010 Telling time unit012 Time unit conversion with whole number values time009 Introduction to adding time time011 Introduction to elapsed time

265

266 APPENDIX B. PROGRAMS IN ALEKS mstat005 Constructing a bar graph for non-numerical data mstat037 Constructing a line plot mstat056 Interpreting a tally table mstat057 Interpreting a pictograph table mstat024 Interpreting a bar graph mstat044 Interpreting a double bar graph mstat007 Interpreting a line graph mstat055 Finding the mode and range of a data set mstat001 Mean of a data set mstat028 Mean and median of a data set mstat031 Interpreting a stem-and-leaf plot mstat042 Interpreting a Venn diagram of 2 sets mstat054 Classifying likelihood mstat026 Introduction to the probability of an event

Algebra mstat038 Reading the temperature from a thermometer alge286 Plotting integers on a number line arith691 Ordering integers arith200 Integer addition: Problem type 1 arith108 Integer addition: Problem type 2 arith688 Integer subtraction: Problem type 1 arith231 Integer multiplication and division alge284 Evaluating an algebraic expression: Whole number addition or subtraction alge683 Evaluating an algebraic expression: Whole number multiplication or division alge285 Evaluating an algebraic expression: Whole numbers with two operations alge009 Additive property of equality with whole numbers alge800 Additive property of equality with decimals alge813 Solving simple equations with multiplication or division alge008 Multiplicative property of equality with whole numbers alge281 Function tables with one-step rules alge282 Function tables with two-step rules mstat061 Describing an increasing or decreasing pattern from a table of values fun005 Writing a function rule given a table of ordered pairs: One-step rules alge278 Reading a point in quadrant 1 alge279 Plotting a point in quadrant 1 alge280 Graphing a line in quadrant 1 arith233 Introduction to exponents arith692 Writing expressions using exponents

## B.10

## RtI 6

Whole Numbers arith124 Whole number place value: Problem type 1 arith125 Whole number place value: Problem type 2 arith066 Expanded form arith643 Expanded form with zeros arith028 Numeral translation: Problem type 1 arith060 Numeral translation: Problem type 2 arith633 One-digit addition with carry arith634 Addition of 3 or 4 one-digit numbers arith635 Adding a 2-digit number and a 1-digit number with carry arith001 Addition without carry

B.10. RTI 6 arith050 Addition with carry arith630 Addition with carry to the hundreds place arith012 Addition of large numbers arith660 Finding the value of a collection of coins arith661 Finding the value of a collection of bills and coins arith636 Subtracting a 1-digit number from a 2-digit number arith007 Subtraction without borrowing arith006 Subtraction with borrowing arith128 Adding or subtracting 10, 100, or 1000 arith682 Subtraction with multiple regrouping steps arith637 Subtraction and regrouping with zeros arith613 Word problem with addition or subtraction of whole numbers arith008 One-digit multiplication arith679 Multiplication by 10, 100, and 1000 arith675 Understanding multiplication of a one-digit number with a larger number arith003 Multiplication without carry arith004 Multiplication with carry arith615 Introduction to multiplication of large numbers arith632 Multiplication with trailing zeros: Problem type 1 arith638 Multiplication with trailing zeros: Problem type 2 arith014 Multiplication of large numbers arith126 Multiplication as repeated addition arith639 Using multiplication to find the number of squares arith640 Using addition and multiplication to count the objects on a grid arith641 Multiples: Problem type 1 arith642 Multiples: Problem type 2 arith075 Division facts arith052 Division without carry arith005 Division with carry arith680 Division with trailing zeros: Problem type 1 arith649 Division with trailing zeros: Problem type 2 arith650 Division involving quotients with intermediate zeros arith616 Quotient and remainder: Problem type 1 arith644 Word problem on quotient and remainder arith617 Quotient and remainder: Problem type 2 arith631 Quotient and remainder: Problem type 3 arith023 Word problem with division of whole numbers and rounding arith614 Word problem with multiplication or division of whole numbers arith130 Word problem with multiplication and addition or subtraction of whole numbers arith651 Introduction to inequalities arith652 Comparing a numerical expression with a number arith077 Ordering large numbers arith078 Rounding to tens or hundreds arith123 Rounding to hundreds or thousands arith061 Rounding to thousands, ten thousands, or hundred thousands arith101 Estimating a sum of whole numbers arith102 Estimating a difference of whole numbers arith677 Estimating a product arith678 Estimating a quotient arith103 Average of two numbers arith645 Introduction to parentheses arith681 Introduction to order of operations arith048 Order of operations with whole numbers arith051 Order of operations with whole numbers and grouping symbols arith658 Filling in missing operations to make an equation arith646 Even and odd numbers arith647 Divisibility rules for 2, 5, and 10 arith648 Divisibility rules for 3 and 9 arith056 Factors arith034 Prime numbers arith035 Prime factorization arith033 Greatest common factor of 2 numbers

267

268 APPENDIX B. PROGRAMS IN ALEKS arith070 Least common multiple of 2 numbers arith240 Word problem with common multiples arith655 Introduction to properties of addition arith656 Introduction to properties of multiplication arith657 Understanding the distributive property arith653 Fact families for addition and subtraction arith654 Fact families for multiplication and division alge807 Finding the next terms of a sequence with whole numbers

Fractions arith623 Introduction to fractions arith665 Understanding equivalent fractions arith212 Equivalent fractions arith666 Introduction to simplifying a fraction arith067 Simplifying a fraction arith044 Ordering fractions with the same denominator arith091 Ordering fractions with the same numerator arith092 Using a common denominator to order fractions arith687 Fractional position on a number line arith667 Plotting fractions on a number line arith618 Addition or subtraction of fractions with the same denominator arith109 Addition or subtraction of unit fractions arith664 Introduction to addition or subtraction of fractions with different denominators arith230 Addition or subtraction of fractions with different denominators arith100 Fractional part of a circle arith079 Product of a unit fraction and a whole number arith086 Product of a fraction and a whole number: Problem type 1 arith119 Introduction to fraction multiplication arith053 Fraction multiplication arith095 Multi-step word problem involving fractions and multiplication arith088 The reciprocal of a number arith694 Division involving a whole number and a fraction arith022 Fraction division arith662 Writing a mixed number and an improper fraction for a shaded region arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction arith215 Addition or subtraction of mixed numbers with the same denominator arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing arith085 Addition or subtraction of mixed numbers with different denominators arith020 Mixed number multiplication: Problem type 1 arith076 Mixed number multiplication: Problem type 2 arith068 Mixed number division

Decimals arith127 Writing a decimal and a fraction for a shaded region arith110 Decimal place value: Tenths and hundredths arith220 Decimal place value: Hundreds to ten thousandths arith221 Rounding decimals arith129 Introduction to ordering decimals arith608 Ordering decimals arith609 Ordering fractions and decimals arith670 Converting a decimal to a fraction: Basic arith087 Converting a decimal to a proper fraction in simplest form: Advanced arith671 Converting a fraction with a denominator of 10, 100, or 1000 to a decimal arith222 Converting a fraction to a terminating decimal

B.10. RTI 6 arith089 Converting a fraction to a repeating decimal arith672 Converting a decimal to a mixed number arith223 Converting a mixed number to a decimal arith624 Addition of aligned decimals arith668 Addition with money arith013 Decimal addition with 3 numbers arith625 Subtraction of aligned decimals arith669 Subtraction with money arith626 Word problem with one decimal operation: Problem type 1 arith627 Word problem with one decimal operation: Problem type 2 arith131 Estimating a decimal sum or difference arith082 Multiplication of a decimal by a power of ten arith017 Multiplication of a decimal by a whole number arith055 Decimal multiplication: Problem type 1 arith046 Decimal multiplication: Problem type 2 arith628 Word problem with multiple decimal operations: Problem type 1 arith083 Division of a decimal by a power of ten arith081 Division of a decimal by a whole number arith019 Division of a decimal by a 2-digit decimal arith629 Word problem with multiple decimal operations: Problem type 2

Geometry geom151 Measuring an angle with the protractor geom152 Drawing an angle with the protractor geom303 Acute, obtuse, and right angles geom349 Naming segments, rays, and lines geom358 Identifying parallel and perpendicular lines geom361 Naming polygons geom306 Acute, obtuse, and right triangles geom307 Scalene, isosceles, and equilateral triangles geom801 Area of a triangle geom001 Finding an angle measure of a triangle given two angles geom908 Finding an angle measure for a triangle with an extended side geom870 Sum of the angle measures of a quadrilateral geom867 Identifying parallelograms, rectangles, and squares geom310 Classifying quadrilaterals geom300 Perimeter of a square or a rectangle geom339 Perimeter of a polygon geom078 Sides of polygons having the same perimeter geom221 Finding the missing length in a figure geom353 Perimeter of a piecewise rectangular figure geom866 Perimeter and area on a grid geom019 Area of a square or a rectangle geom350 Distinguishing between area and perimeter geom351 Areas of rectangles with the same perimeter geom217 Finding the side length of a rectangle given its perimeter or area geom340 Area of a piecewise rectangular figure geom022 Area of a parallelogram geom869 Estimates and exact answers alge732 Finding patterns in shapes geom347 Introduction to a circle: Diameter, radius, and chord geom016 Circumference of a circle geom802 Circumference and area of a circle geom868 Classifying solids geom311 Volume of a rectangular prism geom354 Volume of a rectangular prism made of unit cubes geom090 Volume of a triangular prism geom031 Surface area of a cube or a rectangular prism geom219 Nets of solids

269

270 APPENDIX B. PROGRAMS IN ALEKS geom348 Vertices, edges, and faces of a solid geom816 Side views of a solid made of cubes geom359 Identifying congruent shapes on a grid geom360 Identifying similar or congruent shapes on a grid geom037 Similar polygons geom355 Introduction to translations geom356 Introduction to reflections geom334 Drawing lines of symmetry geom357 Identifying transformations

Measurement and Graphs mstat058 Choosing a measuring tool mstat059 Choosing U.S. Customary measurement units mstat062 Reading a positive temperature from a thermometer mstat033 Measuring length to the nearest inch mstat034 Measuring length to the nearest quarter or half inch mstat035 Conversions involving measurements in feet and inches mstat036 Adding measurements in feet and inches unit005 U.S. Customary unit conversion with whole number values unit006 U.S. Customary unit conversion with whole number values: Two-step conversion unit007 U.S. Customary unit conversion with mixed number values: One-step conversion mstat060 Choosing metric measurement units mstat063 Measuring length to the nearest centimeter mstat064 Measuring length to the nearest millimeter unit001 Metric distance conversion with whole number values unit002 Metric mass or capacity conversion with whole number values unit003 Metric distance conversion with decimal values unit034 Converting between metric and U.S. Customary unit systems time010 Telling time unit012 Time unit conversion with whole number values time008 Reading a calendar time009 Introduction to adding time time006 Adding time time011 Introduction to elapsed time time007 Elapsed time mstat004 Constructing a histogram for numerical data mstat005 Constructing a bar graph for non-numerical data mstat037 Constructing a line plot mstat056 Interpreting a tally table mstat057 Interpreting a pictograph table mstat024 Interpreting a bar graph mstat044 Interpreting a double bar graph mstat007 Interpreting a line graph stat804 Interpreting a circle graph or pie chart mstat055 Finding the mode and range of a data set mstat001 Mean of a data set mstat028 Mean and median of a data set mstat031 Interpreting a stem-and-leaf plot stat803 Finding the value for a new score that will yield a given mean

Proportions, Percents, and Probability arith663 Writing ratios for real-world situations alge272 Solving a proportion of the form x/a = b/c arith064 Solving a word problem on proportions using a unit rate arith610 Word problem on proportions: Problem type 1 arith674 Finding the percentage of a grid that is shaded

B.10. RTI 6 arith226 Converting between percentages and decimals arith090 Converting a percentage to a fraction in simplest form arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50 arith030 Finding a percentage of a whole number without a calculator: Basic arith069 Writing a ratio as a percentage without a calculator arith074 Finding the sale price without a calculator given the original price and percent discount arith232 Finding simple interest without a calculator mstat041 Interpreting a tree diagram mstat040 Introduction to the counting principle stat106 Outcomes and event probability mstat054 Classifying likelihood mstat026 Introduction to the probability of an event mstat010 Probability of an event mstat042 Interpreting a Venn diagram of 2 sets mstat043 Interpreting a Venn diagram of 3 sets

Algebra arith699 Writing a signed number for a real-world situation mstat038 Reading the temperature from a thermometer alge286 Plotting integers on a number line arith691 Ordering integers arith071 Absolute value of a number arith200 Integer addition: Problem type 1 arith108 Integer addition: Problem type 2 arith688 Integer subtraction: Problem type 1 arith689 Integer subtraction: Problem type 2 arith690 Integer subtraction: Problem type 3 arith231 Integer multiplication and division alge606 Distributive property: Whole number coefficients alge284 Evaluating an algebraic expression: Whole number addition or subtraction alge683 Evaluating an algebraic expression: Whole number multiplication or division alge285 Evaluating an algebraic expression: Whole numbers with two operations alge733 Writing a one-step expression for a real-world situation alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction alge009 Additive property of equality with whole numbers alge800 Additive property of equality with decimals alge010 Additive property of equality with integers alge813 Solving simple equations with multiplication or division alge008 Multiplicative property of equality with whole numbers alge797 Multiplicative property of equality with integers alge803 Using two steps to solve an equation with whole numbers alge016 Translating a sentence into a one-step equation alge802 Solving a fraction word problem using a linear equation of the form Ax = B alge015 Translating a sentence by using an inequality symbol alge019 Solving a linear inequality: Problem type 1 alge017 Graphing a linear inequality on the number line alge281 Function tables with one-step rules alge282 Function tables with two-step rules mstat061 Describing an increasing or decreasing pattern from a table of values fun005 Writing a function rule given a table of ordered pairs: One-step rules alge278 Reading a point in quadrant 1 alge064 Reading a point in the coordinate plane alge279 Plotting a point in quadrant 1 alge067 Plotting a point in the coordinate plane alge280 Graphing a line in quadrant 1 arith233 Introduction to exponents arith692 Writing expressions using exponents arith693 Order of operations with whole numbers and exponents: Basic arith683 Power of 10: Positive exponent

271

272 arith036 Scientific notation with positive exponent arith702 Exponents and integers: Problem type 1 arith016 Square root of a perfect square

APPENDIX B. PROGRAMS IN ALEKS

## B.11

## RtI 7

Whole Numbers arith124 Whole number place value: Problem type 1 arith125 Whole number place value: Problem type 2 arith066 Expanded form arith643 Expanded form with zeros arith028 Numeral translation: Problem type 1 arith060 Numeral translation: Problem type 2 arith633 One-digit addition with carry arith634 Addition of 3 or 4 one-digit numbers arith635 Adding a 2-digit number and a 1-digit number with carry arith001 Addition without carry arith050 Addition with carry arith630 Addition with carry to the hundreds place arith012 Addition of large numbers arith660 Finding the value of a collection of coins arith661 Finding the value of a collection of bills and coins arith636 Subtracting a 1-digit number from a 2-digit number arith007 Subtraction without borrowing arith006 Subtraction with borrowing arith128 Adding or subtracting 10, 100, or 1000 arith682 Subtraction with multiple regrouping steps arith637 Subtraction and regrouping with zeros arith613 Word problem with addition or subtraction of whole numbers arith008 One-digit multiplication arith679 Multiplication by 10, 100, and 1000 arith675 Understanding multiplication of a one-digit number with a larger number arith003 Multiplication without carry arith004 Multiplication with carry arith615 Introduction to multiplication of large numbers arith632 Multiplication with trailing zeros: Problem type 1 arith638 Multiplication with trailing zeros: Problem type 2 arith014 Multiplication of large numbers arith126 Multiplication as repeated addition arith639 Using multiplication to find the number of squares arith640 Using addition and multiplication to count the objects on a grid arith641 Multiples: Problem type 1 arith642 Multiples: Problem type 2 arith075 Division facts arith052 Division without carry arith005 Division with carry arith680 Division with trailing zeros: Problem type 1 arith649 Division with trailing zeros: Problem type 2 arith650 Division involving quotients with intermediate zeros arith616 Quotient and remainder: Problem type 1 arith644 Word problem on quotient and remainder arith617 Quotient and remainder: Problem type 2 arith631 Quotient and remainder: Problem type 3 arith023 Word problem with division of whole numbers and rounding arith614 Word problem with multiplication or division of whole numbers arith130 Word problem with multiplication and addition or subtraction of whole numbers arith651 Introduction to inequalities

B.11. RTI 7 arith652 Comparing a numerical expression with a number arith077 Ordering large numbers arith078 Rounding to tens or hundreds arith123 Rounding to hundreds or thousands arith061 Rounding to thousands, ten thousands, or hundred thousands arith101 Estimating a sum of whole numbers arith102 Estimating a difference of whole numbers arith677 Estimating a product arith678 Estimating a quotient arith103 Average of two numbers arith645 Introduction to parentheses arith681 Introduction to order of operations arith048 Order of operations with whole numbers arith051 Order of operations with whole numbers and grouping symbols arith658 Filling in missing operations to make an equation arith646 Even and odd numbers arith647 Divisibility rules for 2, 5, and 10 arith648 Divisibility rules for 3 and 9 arith056 Factors arith034 Prime numbers arith035 Prime factorization arith033 Greatest common factor of 2 numbers arith070 Least common multiple of 2 numbers arith240 Word problem with common multiples arith655 Introduction to properties of addition arith656 Introduction to properties of multiplication arith657 Understanding the distributive property arith653 Fact families for addition and subtraction arith654 Fact families for multiplication and division alge807 Finding the next terms of a sequence with whole numbers

Fractions arith623 Introduction to fractions arith665 Understanding equivalent fractions arith212 Equivalent fractions arith666 Introduction to simplifying a fraction arith067 Simplifying a fraction arith044 Ordering fractions with the same denominator arith091 Ordering fractions with the same numerator arith092 Using a common denominator to order fractions arith687 Fractional position on a number line arith667 Plotting fractions on a number line arith618 Addition or subtraction of fractions with the same denominator arith109 Addition or subtraction of unit fractions arith664 Introduction to addition or subtraction of fractions with different denominators arith230 Addition or subtraction of fractions with different denominators arith100 Fractional part of a circle arith079 Product of a unit fraction and a whole number arith086 Product of a fraction and a whole number: Problem type 1 arith119 Introduction to fraction multiplication arith053 Fraction multiplication arith095 Multi-step word problem involving fractions and multiplication arith088 The reciprocal of a number arith694 Division involving a whole number and a fraction arith022 Fraction division arith697 Mixed arithmetic operations with fractions arith662 Writing a mixed number and an improper fraction for a shaded region arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction

273

274 APPENDIX B. PROGRAMS IN ALEKS arith215 Addition or subtraction of mixed numbers with the same denominator arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing arith085 Addition or subtraction of mixed numbers with different denominators arith020 Mixed number multiplication: Problem type 1 arith076 Mixed number multiplication: Problem type 2 arith068 Mixed number division

Decimals arith127 Writing a decimal and a fraction for a shaded region arith110 Decimal place value: Tenths and hundredths arith220 Decimal place value: Hundreds to ten thousandths arith221 Rounding decimals arith129 Introduction to ordering decimals arith608 Ordering decimals arith609 Ordering fractions and decimals arith670 Converting a decimal to a fraction: Basic arith087 Converting a decimal to a proper fraction in simplest form: Advanced arith671 Converting a fraction with a denominator of 10, 100, or 1000 to a decimal arith222 Converting a fraction to a terminating decimal arith089 Converting a fraction to a repeating decimal arith672 Converting a decimal to a mixed number arith223 Converting a mixed number to a decimal arith624 Addition of aligned decimals arith668 Addition with money arith013 Decimal addition with 3 numbers arith625 Subtraction of aligned decimals arith669 Subtraction with money arith626 Word problem with one decimal operation: Problem type 1 arith627 Word problem with one decimal operation: Problem type 2 arith131 Estimating a decimal sum or difference arith082 Multiplication of a decimal by a power of ten arith017 Multiplication of a decimal by a whole number arith055 Decimal multiplication: Problem type 1 arith046 Decimal multiplication: Problem type 2 arith628 Word problem with multiple decimal operations: Problem type 1 arith083 Division of a decimal by a power of ten arith081 Division of a decimal by a whole number arith019 Division of a decimal by a 2-digit decimal arith629 Word problem with multiple decimal operations: Problem type 2

Geometry geom151 Measuring an angle with the protractor geom152 Drawing an angle with the protractor geom303 Acute, obtuse, and right angles geom349 Naming segments, rays, and lines geom358 Identifying parallel and perpendicular lines geom361 Naming polygons geom306 Acute, obtuse, and right triangles geom307 Scalene, isosceles, and equilateral triangles geom801 Area of a triangle geom001 Finding an angle measure of a triangle given two angles geom908 Finding an angle measure for a triangle with an extended side geom044 Pythagorean Theorem geom870 Sum of the angle measures of a quadrilateral geom867 Identifying parallelograms, rectangles, and squares

B.11. RTI 7 geom310 Classifying quadrilaterals geom300 Perimeter of a square or a rectangle geom339 Perimeter of a polygon geom078 Sides of polygons having the same perimeter geom221 Finding the missing length in a figure geom353 Perimeter of a piecewise rectangular figure geom866 Perimeter and area on a grid geom019 Area of a square or a rectangle geom350 Distinguishing between area and perimeter geom351 Areas of rectangles with the same perimeter geom217 Finding the side length of a rectangle given its perimeter or area geom340 Area of a piecewise rectangular figure geom022 Area of a parallelogram geom023 Area of a trapezoid geom344 Area involving rectangles and triangles geom869 Estimates and exact answers alge732 Finding patterns in shapes geom347 Introduction to a circle: Diameter, radius, and chord geom016 Circumference of a circle geom802 Circumference and area of a circle geom302 Area involving rectangles and circles geom868 Classifying solids geom311 Volume of a rectangular prism geom354 Volume of a rectangular prism made of unit cubes geom090 Volume of a triangular prism geom035 Volume of a cylinder geom031 Surface area of a cube or a rectangular prism geom091 Surface area of a triangular prism geom219 Nets of solids geom348 Vertices, edges, and faces of a solid geom816 Side views of a solid made of cubes geom359 Identifying congruent shapes on a grid geom360 Identifying similar or congruent shapes on a grid geom037 Similar polygons geom355 Introduction to translations geom356 Introduction to reflections geom334 Drawing lines of symmetry geom357 Identifying transformations

Measurement and Graphs mstat058 Choosing a measuring tool mstat059 Choosing U.S. Customary measurement units mstat062 Reading a positive temperature from a thermometer mstat033 Measuring length to the nearest inch mstat034 Measuring length to the nearest quarter or half inch mstat035 Conversions involving measurements in feet and inches mstat036 Adding measurements in feet and inches unit005 U.S. Customary unit conversion with whole number values unit006 U.S. Customary unit conversion with whole number values: Two-step conversion unit007 U.S. Customary unit conversion with mixed number values: One-step conversion unit008 U.S. Customary unit conversion with mixed number values: Two-step conversion mstat060 Choosing metric measurement units mstat063 Measuring length to the nearest centimeter mstat064 Measuring length to the nearest millimeter unit001 Metric distance conversion with whole number values unit002 Metric mass or capacity conversion with whole number values unit003 Metric distance conversion with decimal values unit004 Metric conversion with decimal values: Two-step problem unit034 Converting between metric and U.S. Customary unit systems

275

276 APPENDIX B. PROGRAMS IN ALEKS time010 Telling time unit012 Time unit conversion with whole number values time008 Reading a calendar time009 Introduction to adding time time006 Adding time time011 Introduction to elapsed time time007 Elapsed time mstat004 Constructing a histogram for numerical data mstat005 Constructing a bar graph for non-numerical data mstat037 Constructing a line plot mstat056 Interpreting a tally table mstat057 Interpreting a pictograph table mstat024 Interpreting a bar graph mstat044 Interpreting a double bar graph mstat007 Interpreting a line graph stat804 Interpreting a circle graph or pie chart mstat003 Mode of a data set mstat055 Finding the mode and range of a data set mstat001 Mean of a data set mstat028 Mean and median of a data set mstat031 Interpreting a stem-and-leaf plot stat803 Finding the value for a new score that will yield a given mean

Proportions, Percents, and Probability arith663 Writing ratios for real-world situations arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers alge272 Solving a proportion of the form x/a = b/c arith064 Solving a word problem on proportions using a unit rate arith610 Word problem on proportions: Problem type 1 arith674 Finding the percentage of a grid that is shaded arith226 Converting between percentages and decimals arith090 Converting a percentage to a fraction in simplest form arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50 arith030 Finding a percentage of a whole number without a calculator: Basic arith069 Writing a ratio as a percentage without a calculator arith698 Applying the percent equation arith074 Finding the sale price without a calculator given the original price and percent discount arith225 Finding the percentage increase or decrease: Advanced arith232 Finding simple interest without a calculator mstat049 Computing a percentage from a table of values mstat041 Interpreting a tree diagram mstat040 Introduction to the counting principle mstat015 Counting principle stat106 Outcomes and event probability mstat054 Classifying likelihood mstat026 Introduction to the probability of an event mstat010 Probability of an event mstat042 Interpreting a Venn diagram of 2 sets mstat043 Interpreting a Venn diagram of 3 sets

Algebra arith699 Writing a signed number for a real-world situation mstat038 Reading the temperature from a thermometer alge286 Plotting integers on a number line arith691 Ordering integers arith071 Absolute value of a number

B.11. RTI 7 arith200 Integer addition: Problem type 1 arith108 Integer addition: Problem type 2 arith688 Integer subtraction: Problem type 1 arith689 Integer subtraction: Problem type 2 arith690 Integer subtraction: Problem type 3 arith701 Word problem with addition or subtraction of integers arith231 Integer multiplication and division arith118 Order of operations with integers arith116 Signed fraction addition or subtraction: Basic arith105 Signed fraction multiplication: Advanced arith117 Signed decimal addition and subtraction arith234 Signed decimal addition and subtraction with 3 numbers alge001 Identifying numbers as integers or non-integers alge606 Distributive property: Whole number coefficients alge284 Evaluating an algebraic expression: Whole number addition or subtraction alge683 Evaluating an algebraic expression: Whole number multiplication or division alge285 Evaluating an algebraic expression: Whole numbers with two operations alge733 Writing a one-step expression for a real-world situation alge602 Writing a one-step variable expression for a real-world situation alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction alge009 Additive property of equality with whole numbers alge800 Additive property of equality with decimals alge801 Additive property of equality with fractions and mixed numbers alge010 Additive property of equality with integers alge813 Solving simple equations with multiplication or division alge008 Multiplicative property of equality with whole numbers alge797 Multiplicative property of equality with integers alge803 Using two steps to solve an equation with whole numbers alge006 Solving a two-step equation with integers alge016 Translating a sentence into a one-step equation alge802 Solving a fraction word problem using a linear equation of the form Ax = B alge015 Translating a sentence by using an inequality symbol alge019 Solving a linear inequality: Problem type 1 alge017 Graphing a linear inequality on the number line alge281 Function tables with one-step rules alge282 Function tables with two-step rules mstat061 Describing an increasing or decreasing pattern from a table of values fun005 Writing a function rule given a table of ordered pairs: One-step rules alge278 Reading a point in quadrant 1 alge064 Reading a point in the coordinate plane alge279 Plotting a point in quadrant 1 alge067 Plotting a point in the coordinate plane alge280 Graphing a line in quadrant 1 alge194 Graphing a line given its equation in slope-intercept form alge198 Graphing a vertical or horizontal line alge263 Interpreting the graphs of two functions arith233 Introduction to exponents arith692 Writing expressions using exponents arith693 Order of operations with whole numbers and exponents: Basic arith683 Power of 10: Positive exponent arith036 Scientific notation with positive exponent arith702 Exponents and integers: Problem type 1 alge004 Evaluating a quadratic expression: Integers arith029 Ordering numbers with positive exponents arith016 Square root of a perfect square arith602 Estimating a square root

277

278

## B.12

## RtI 8

Whole Numbers

APPENDIX B. PROGRAMS IN ALEKS arith124 Whole number place value: Problem type 1 arith125 Whole number place value: Problem type 2 arith066 Expanded form arith643 Expanded form with zeros arith028 Numeral translation: Problem type 1 arith060 Numeral translation: Problem type 2 arith633 One-digit addition with carry arith634 Addition of 3 or 4 one-digit numbers arith635 Adding a 2-digit number and a 1-digit number with carry arith001 Addition without carry arith050 Addition with carry arith630 Addition with carry to the hundreds place arith012 Addition of large numbers arith660 Finding the value of a collection of coins arith661 Finding the value of a collection of bills and coins arith636 Subtracting a 1-digit number from a 2-digit number arith007 Subtraction without borrowing arith006 Subtraction with borrowing arith128 Adding or subtracting 10, 100, or 1000 arith682 Subtraction with multiple regrouping steps arith637 Subtraction and regrouping with zeros arith613 Word problem with addition or subtraction of whole numbers arith008 One-digit multiplication arith679 Multiplication by 10, 100, and 1000 arith675 Understanding multiplication of a one-digit number with a larger number arith003 Multiplication without carry arith004 Multiplication with carry arith615 Introduction to multiplication of large numbers arith632 Multiplication with trailing zeros: Problem type 1 arith638 Multiplication with trailing zeros: Problem type 2 arith014 Multiplication of large numbers arith126 Multiplication as repeated addition arith639 Using multiplication to find the number of squares arith640 Using addition and multiplication to count the objects on a grid arith641 Multiples: Problem type 1 arith642 Multiples: Problem type 2 arith075 Division facts arith052 Division without carry arith005 Division with carry arith680 Division with trailing zeros: Problem type 1 arith649 Division with trailing zeros: Problem type 2 arith650 Division involving quotients with intermediate zeros arith616 Quotient and remainder: Problem type 1 arith644 Word problem on quotient and remainder arith617 Quotient and remainder: Problem type 2 arith631 Quotient and remainder: Problem type 3 arith023 Word problem with division of whole numbers and rounding arith614 Word problem with multiplication or division of whole numbers arith130 Word problem with multiplication and addition or subtraction of whole numbers arith651 Introduction to inequalities arith652 Comparing a numerical expression with a number arith077 Ordering large numbers arith078 Rounding to tens or hundreds arith123 Rounding to hundreds or thousands arith061 Rounding to thousands, ten thousands, or hundred thousands arith101 Estimating a sum of whole numbers arith102 Estimating a difference of whole numbers

B.12. RTI 8 arith677 Estimating a product arith678 Estimating a quotient arith103 Average of two numbers arith645 Introduction to parentheses arith681 Introduction to order of operations arith048 Order of operations with whole numbers arith051 Order of operations with whole numbers and grouping symbols arith658 Filling in missing operations to make an equation arith646 Even and odd numbers arith647 Divisibility rules for 2, 5, and 10 arith648 Divisibility rules for 3 and 9 arith056 Factors arith034 Prime numbers arith035 Prime factorization arith033 Greatest common factor of 2 numbers arith070 Least common multiple of 2 numbers arith240 Word problem with common multiples arith655 Introduction to properties of addition arith656 Introduction to properties of multiplication arith657 Understanding the distributive property arith653 Fact families for addition and subtraction arith654 Fact families for multiplication and division alge807 Finding the next terms of a sequence with whole numbers

Fractions arith623 Introduction to fractions arith665 Understanding equivalent fractions arith212 Equivalent fractions arith666 Introduction to simplifying a fraction arith067 Simplifying a fraction arith044 Ordering fractions with the same denominator arith091 Ordering fractions with the same numerator arith092 Using a common denominator to order fractions arith687 Fractional position on a number line arith667 Plotting fractions on a number line arith618 Addition or subtraction of fractions with the same denominator arith109 Addition or subtraction of unit fractions arith664 Introduction to addition or subtraction of fractions with different denominators arith230 Addition or subtraction of fractions with different denominators arith100 Fractional part of a circle arith079 Product of a unit fraction and a whole number arith086 Product of a fraction and a whole number: Problem type 1 arith119 Introduction to fraction multiplication arith053 Fraction multiplication arith095 Multi-step word problem involving fractions and multiplication arith088 The reciprocal of a number arith694 Division involving a whole number and a fraction arith022 Fraction division arith697 Mixed arithmetic operations with fractions arith662 Writing a mixed number and an improper fraction for a shaded region arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction arith215 Addition or subtraction of mixed numbers with the same denominator arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing arith085 Addition or subtraction of mixed numbers with different denominators arith020 Mixed number multiplication: Problem type 1 arith076 Mixed number multiplication: Problem type 2 arith068 Mixed number division

279

280 APPENDIX B. PROGRAMS IN ALEKS

Decimals arith127 Writing a decimal and a fraction for a shaded region arith110 Decimal place value: Tenths and hundredths arith220 Decimal place value: Hundreds to ten thousandths arith221 Rounding decimals arith129 Introduction to ordering decimals arith608 Ordering decimals arith609 Ordering fractions and decimals arith670 Converting a decimal to a fraction: Basic arith087 Converting a decimal to a proper fraction in simplest form: Advanced arith671 Converting a fraction with a denominator of 10, 100, or 1000 to a decimal arith222 Converting a fraction to a terminating decimal arith089 Converting a fraction to a repeating decimal arith672 Converting a decimal to a mixed number arith223 Converting a mixed number to a decimal arith624 Addition of aligned decimals arith668 Addition with money arith013 Decimal addition with 3 numbers arith625 Subtraction of aligned decimals arith669 Subtraction with money arith626 Word problem with one decimal operation: Problem type 1 arith627 Word problem with one decimal operation: Problem type 2 arith131 Estimating a decimal sum or difference arith082 Multiplication of a decimal by a power of ten arith017 Multiplication of a decimal by a whole number arith055 Decimal multiplication: Problem type 1 arith046 Decimal multiplication: Problem type 2 arith628 Word problem with multiple decimal operations: Problem type 1 arith083 Division of a decimal by a power of ten arith081 Division of a decimal by a whole number arith019 Division of a decimal by a 2-digit decimal arith629 Word problem with multiple decimal operations: Problem type 2

Geometry geom151 Measuring an angle with the protractor geom152 Drawing an angle with the protractor geom303 Acute, obtuse, and right angles geom349 Naming segments, rays, and lines geom358 Identifying parallel and perpendicular lines geom361 Naming polygons geom306 Acute, obtuse, and right triangles geom307 Scalene, isosceles, and equilateral triangles geom801 Area of a triangle geom001 Finding an angle measure of a triangle given two angles geom908 Finding an angle measure for a triangle with an extended side geom044 Pythagorean Theorem geom870 Sum of the angle measures of a quadrilateral geom867 Identifying parallelograms, rectangles, and squares geom310 Classifying quadrilaterals geom300 Perimeter of a square or a rectangle geom339 Perimeter of a polygon geom078 Sides of polygons having the same perimeter geom221 Finding the missing length in a figure geom353 Perimeter of a piecewise rectangular figure geom866 Perimeter and area on a grid geom019 Area of a square or a rectangle geom350 Distinguishing between area and perimeter

B.12. RTI 8 geom351 Areas of rectangles with the same perimeter geom217 Finding the side length of a rectangle given its perimeter or area geom340 Area of a piecewise rectangular figure geom022 Area of a parallelogram geom023 Area of a trapezoid geom344 Area involving rectangles and triangles geom869 Estimates and exact answers alge732 Finding patterns in shapes geom347 Introduction to a circle: Diameter, radius, and chord geom016 Circumference of a circle geom218 Finding the radius or the diameter of a circle given its circumference geom802 Circumference and area of a circle geom036 Word problem involving the area between two concentric circles geom302 Area involving rectangles and circles geom868 Classifying solids geom311 Volume of a rectangular prism geom354 Volume of a rectangular prism made of unit cubes geom090 Volume of a triangular prism geom035 Volume of a cylinder geom031 Surface area of a cube or a rectangular prism geom091 Surface area of a triangular prism geom034 Surface area of a cylinder: Exact answers in terms of pi geom219 Nets of solids geom348 Vertices, edges, and faces of a solid geom816 Side views of a solid made of cubes geom359 Identifying congruent shapes on a grid geom360 Identifying similar or congruent shapes on a grid geom037 Similar polygons geom355 Introduction to translations geom356 Introduction to reflections geom334 Drawing lines of symmetry geom357 Identifying transformations

Measurement and Graphs mstat058 Choosing a measuring tool mstat059 Choosing U.S. Customary measurement units mstat062 Reading a positive temperature from a thermometer mstat033 Measuring length to the nearest inch mstat034 Measuring length to the nearest quarter or half inch mstat035 Conversions involving measurements in feet and inches mstat036 Adding measurements in feet and inches unit005 U.S. Customary unit conversion with whole number values unit006 U.S. Customary unit conversion with whole number values: Two-step conversion unit007 U.S. Customary unit conversion with mixed number values: One-step conversion unit008 U.S. Customary unit conversion with mixed number values: Two-step conversion mstat060 Choosing metric measurement units mstat063 Measuring length to the nearest centimeter mstat064 Measuring length to the nearest millimeter unit001 Metric distance conversion with whole number values unit002 Metric mass or capacity conversion with whole number values unit003 Metric distance conversion with decimal values unit004 Metric conversion with decimal values: Two-step problem unit034 Converting between metric and U.S. Customary unit systems time010 Telling time unit012 Time unit conversion with whole number values time008 Reading a calendar time009 Introduction to adding time time006 Adding time time011 Introduction to elapsed time

281

282 APPENDIX B. PROGRAMS IN ALEKS time007 Elapsed time mstat004 Constructing a histogram for numerical data mstat005 Constructing a bar graph for non-numerical data mstat037 Constructing a line plot mstat056 Interpreting a tally table mstat057 Interpreting a pictograph table mstat024 Interpreting a bar graph mstat044 Interpreting a double bar graph mstat007 Interpreting a line graph stat804 Interpreting a circle graph or pie chart mstat003 Mode of a data set mstat055 Finding the mode and range of a data set mstat001 Mean of a data set mstat028 Mean and median of a data set mstat053 Choosing the best measure to describe data mstat031 Interpreting a stem-and-leaf plot stat803 Finding the value for a new score that will yield a given mean

Proportions, Percents, and Probability arith663 Writing ratios for real-world situations arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers alge272 Solving a proportion of the form x/a = b/c arith064 Solving a word problem on proportions using a unit rate arith610 Word problem on proportions: Problem type 1 arith674 Finding the percentage of a grid that is shaded arith226 Converting between percentages and decimals arith090 Converting a percentage to a fraction in simplest form arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50 arith030 Finding a percentage of a whole number without a calculator: Basic arith069 Writing a ratio as a percentage without a calculator arith698 Applying the percent equation arith074 Finding the sale price without a calculator given the original price and percent discount arith225 Finding the percentage increase or decrease: Advanced arith232 Finding simple interest without a calculator mstat049 Computing a percentage from a table of values mstat041 Interpreting a tree diagram mstat040 Introduction to the counting principle mstat015 Counting principle stat106 Outcomes and event probability mstat054 Classifying likelihood mstat026 Introduction to the probability of an event mstat010 Probability of an event mstat046 Experimental and theoretical probability mstat047 Introduction to expectation mstat042 Interpreting a Venn diagram of 2 sets mstat043 Interpreting a Venn diagram of 3 sets

Algebra arith699 Writing a signed number for a real-world situation mstat038 Reading the temperature from a thermometer alge286 Plotting integers on a number line arith691 Ordering integers arith071 Absolute value of a number arith200 Integer addition: Problem type 1 arith108 Integer addition: Problem type 2 arith688 Integer subtraction: Problem type 1

B.12. RTI 8 arith689 Integer subtraction: Problem type 2 arith690 Integer subtraction: Problem type 3 arith701 Word problem with addition or subtraction of integers arith231 Integer multiplication and division arith118 Order of operations with integers arith116 Signed fraction addition or subtraction: Basic arith105 Signed fraction multiplication: Advanced arith117 Signed decimal addition and subtraction arith234 Signed decimal addition and subtraction with 3 numbers alge001 Identifying numbers as integers or non-integers alge606 Distributive property: Whole number coefficients alge607 Combining like terms: Integer coefficients alge284 Evaluating an algebraic expression: Whole number addition or subtraction alge683 Evaluating an algebraic expression: Whole number multiplication or division alge285 Evaluating an algebraic expression: Whole numbers with two operations alge733 Writing a one-step expression for a real-world situation alge602 Writing a one-step variable expression for a real-world situation alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction alge009 Additive property of equality with whole numbers alge800 Additive property of equality with decimals alge801 Additive property of equality with fractions and mixed numbers alge010 Additive property of equality with integers alge813 Solving simple equations with multiplication or division alge008 Multiplicative property of equality with whole numbers alge797 Multiplicative property of equality with integers alge803 Using two steps to solve an equation with whole numbers alge006 Solving a two-step equation with integers alge016 Translating a sentence into a one-step equation alge802 Solving a fraction word problem using a linear equation of the form Ax = B alge015 Translating a sentence by using an inequality symbol alge019 Solving a linear inequality: Problem type 1 alge017 Graphing a linear inequality on the number line alge281 Function tables with one-step rules alge282 Function tables with two-step rules mstat061 Describing an increasing or decreasing pattern from a table of values fun005 Writing a function rule given a table of ordered pairs: One-step rules alge278 Reading a point in quadrant 1 alge064 Reading a point in the coordinate plane alge279 Plotting a point in quadrant 1 alge067 Plotting a point in the coordinate plane alge066 Finding a solution to a linear equation in two variables alge280 Graphing a line in quadrant 1 alge194 Graphing a line given its equation in slope-intercept form alge198 Graphing a vertical or horizontal line alge263 Interpreting the graphs of two functions arith233 Introduction to exponents arith692 Writing expressions using exponents arith693 Order of operations with whole numbers and exponents: Basic arith683 Power of 10: Positive exponent arith684 Power of 10: Negative exponent arith036 Scientific notation with positive exponent arith037 Scientific notation with negative exponent arith702 Exponents and integers: Problem type 1 arith600 Order of operations with integers and exponents alge004 Evaluating a quadratic expression: Integers arith029 Ordering numbers with positive exponents arith016 Square root of a perfect square arith602 Estimating a square root

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284

## B.13

## M.S. Math 1 / LV6

Whole Numbers

APPENDIX B. PROGRAMS IN ALEKS arith124 Whole number place value: Problem type 1 arith125 Whole number place value: Problem type 2 arith066 Expanded form arith643 Expanded form with zeros arith028 Numeral translation: Problem type 1 arith060 Numeral translation: Problem type 2 arith633 One-digit addition with carry arith634 Addition of 3 or 4 one-digit numbers arith001 Addition without carry arith635 Adding a 2-digit number and a 1-digit number with carry arith050 Addition with carry arith630 Addition with carry to the hundreds place arith012 Addition of large numbers arith636 Subtracting a 1-digit number from a 2-digit number arith007 Subtraction without borrowing arith006 Subtraction with borrowing arith682 Subtraction with multiple regrouping steps arith637 Subtraction and regrouping with zeros arith653 Fact families for addition and subtraction arith613 Word problem with addition or subtraction of whole numbers mstat061 Describing an increasing or decreasing pattern from a table of values arith126 Multiplication as repeated addition arith008 One-digit multiplication arith639 Using multiplication to find the number of squares arith679 Multiplication by 10, 100, and 1000 arith003 Multiplication without carry arith004 Multiplication with carry arith632 Multiplication with trailing zeros: Problem type 1 arith615 Introduction to multiplication of large numbers arith675 Understanding multiplication of a one-digit number with a larger number arith638 Multiplication with trailing zeros: Problem type 2 arith014 Multiplication of large numbers arith641 Multiples: Problem type 1 arith642 Multiples: Problem type 2 arith075 Division facts arith654 Fact families for multiplication and division arith614 Word problem with multiplication or division of whole numbers arith130 Word problem with multiplication and addition or subtraction of whole numbers arith451 Word problem on unit rates associated with ratios of whole numbers: Whole number answers arith243 Division of whole numbers given in fractional form arith711 Division involving zero arith052 Division without carry arith005 Division with carry arith901 Whole number division: 2-digit by 2-digit, no remainder arith902 Whole number division: 3-digit by 2-digit, no remainder arith680 Division with trailing zeros: Problem type 1 arith649 Division with trailing zeros: Problem type 2 arith616 Quotient and remainder: Problem type 1 arith644 Word problem on quotient and remainder arith617 Quotient and remainder: Problem type 2 arith631 Quotient and remainder: Problem type 3 arith650 Division involving quotients with intermediate zeros arith023 Word problem with division of whole numbers and rounding arith651 Introduction to inequalities arith652 Comparing a numerical expression with a number arith077 Ordering large numbers arith078 Rounding to tens or hundreds

B.13. M.S. MATH 1 / LV6 arith123 Rounding to hundreds or thousands arith061 Rounding to thousands, ten thousands, or hundred thousands arith101 Estimating a sum of whole numbers arith102 Estimating a difference of whole numbers arith677 Estimating a product arith678 Estimating a quotient arith692 Writing expressions using exponents arith233 Introduction to exponents arith683 Power of 10: Positive exponent arith645 Introduction to parentheses arith865 Comparing numerical expressions with parentheses arith681 Introduction to order of operations arith048 Order of operations with whole numbers arith051 Order of operations with whole numbers and grouping symbols arith693 Order of operations with whole numbers and exponents: Basic arith713 Order of operations with whole numbers and exponents: Advanced arith646 Even and odd numbers arith647 Divisibility rules for 2, 5, and 10 arith648 Divisibility rules for 3 and 9 arith056 Factors arith034 Prime numbers arith035 Prime factorization arith033 Greatest common factor of 2 numbers arith516 Greatest common factor of 3 numbers arith409 Introduction to the distributive property arith657 Understanding the distributive property arith410 Introduction to factoring with numbers arith411 Factoring a sum or difference of whole numbers arith070 Least common multiple of 2 numbers arith804 Least common multiple of 3 numbers arith418 Word problem involving the least common multiple of 2 numbers arith240 Word problem with common multiples alge284 Evaluating an algebraic expression: Whole number addition or subtraction alge683 Evaluating an algebraic expression: Whole number multiplication or division alge285 Evaluating an algebraic expression: Whole numbers with two operations alge649 Evaluating a formula alge648 Evaluating an algebraic expression: Whole numbers with one operation and an exponent alge832 Evaluating an algebraic expression: Whole number operations and exponents alge733 Writing a one-step expression for a real-world situation alge831 Translating a phrase into a one-step expression alge291 Translating a phrase into a two-step expression alge650 Identifying solutions to a one-step linear equation: Problem type 1 alge651 Identifying solutions to a one-step linear equation: Problem type 2 alge009 Additive property of equality with whole numbers alge813 Solving simple equations with multiplication or division alge008 Multiplicative property of equality with whole numbers alge016 Translating a sentence into a one-step equation geom339 Perimeter of a polygon geom300 Perimeter of a square or a rectangle geom019 Area of a square or a rectangle geom866 Perimeter and area on a grid

Decimals arith110 Decimal place value: Tenths and hundredths arith220 Decimal place value: Hundreds to ten thousandths arith714 Writing a decimal number less than 1 given its name arith715 Writing a decimal number greater than 1 given its name arith716 Writing a decimal number given its name: Advanced arith829 Reading decimal position on a number line: Tenths

285

286 APPENDIX B. PROGRAMS IN ALEKS arith830 Reading decimal position on a number line: Hundredths arith831 Understanding decimal position on a number line using zoom: Hundredths arith832 Understanding decimal position on a number line using zoom: Thousandths arith129 Introduction to ordering decimals arith608 Ordering decimals arith221 Rounding decimals arith624 Addition of aligned decimals arith013 Decimal addition with 3 numbers arith734 Subtraction of aligned decimals arith735 Decimal subtraction: Basic arith736 Decimal subtraction: Advanced arith737 Decimal addition and subtraction with 3 or more numbers arith131 Estimating a decimal sum or difference arith668 Addition with money arith669 Subtraction with money arith132 Word problem with addition or subtraction of 2 decimals arith133 Word problem with addition of 3 or 4 decimals and whole numbers arith134 Word problem with subtraction of a whole number and a decimal: Regrouping with zeros arith739 Introduction to decimal multiplication arith017 Multiplication of a decimal by a whole number arith055 Decimal multiplication: Problem type 1 arith046 Decimal multiplication: Problem type 2 arith082 Multiplication of a decimal by a power of ten arith738 Multiplication of a decimal by a power of 0.1

arith740 Multiplication of decimals that have a product less than 0.1

arith752 Estimating a product of decimals arith135 Word problem with multiplication of a decimal and a whole number arith137 Word problem with multiplication of two decimals arith628 Word problem with multiple decimal operations: Problem type 1 arith744 Whole number division with decimal answers arith081 Division of a decimal by a whole number arith743 Division of a decimal by a 1-digit decimal arith019 Division of a decimal by a 2-digit decimal arith083 Division of a decimal by a power of ten arith742 Division of a decimal by a power of 0.1

arith745 Decimal division with rounding arith136 Word problem with division of a decimal and a whole number arith138 Word problem with division of two decimals arith629 Word problem with multiple decimal operations: Problem type 2 arith103 Average of two numbers arith753 Squaring decimal bases: Products greater than 0.1

arith741 Exponents and decimals: Products less than 0.1

arith720 Order of operations with decimals: Problem type 1 arith746 Order of operations with decimals: Problem type 2 arith747 Order of operations with decimals: Problem type 3 scinot023 Introduction to scientific notation with positive exponents arith036 Scientific notation with positive exponent

Fractions arith623 Introduction to fractions arith665 Understanding equivalent fractions arith212 Equivalent fractions arith666 Introduction to simplifying a fraction arith067 Simplifying a fraction arith687 Fractional position on a number line arith667 Plotting fractions on a number line arith044 Ordering fractions with the same denominator arith091 Ordering fractions with the same numerator arith092 Using a common denominator to order fractions

B.13. M.S. MATH 1 / LV6 arith079 Product of a unit fraction and a whole number arith086 Product of a fraction and a whole number: Problem type 1 arith119 Introduction to fraction multiplication arith053 Fraction multiplication arith812 Product of a fraction and a whole number: Problem type 2 arith905 Determining if a quantity is increased or decreased when multiplied by a fraction arith509 Modeling multiplication of proper fractions arith813 Multiplication of 3 fractions arith818 Word problem involving fractions and multiplication arith095 Multi-step word problem involving fractions and multiplication arith088 The reciprocal of a number arith694 Division involving a whole number and a fraction arith022 Fraction division arith507 Fact families for multiplication and division of fractions arith508 Modeling division of a whole number by a fraction arith819 Word problem involving fractions and division arith618 Addition or subtraction of fractions with the same denominator arith802 Addition or subtraction of fractions with the same denominator and simplification arith801 Finding the LCD of two fractions arith109 Addition or subtraction of unit fractions arith664 Introduction to addition or subtraction of fractions with different denominators arith230 Addition or subtraction of fractions with different denominators arith803 Addition and subtraction of 3 fractions with different denominators arith805 Word problem involving addition or subtraction of fractions with different denominators arith100 Fractional part of a circle arith662 Writing a mixed number and an improper fraction for a shaded region arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction arith215 Addition or subtraction of mixed numbers with the same denominator arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing arith806 Addition or subtraction of mixed numbers with different denominators and no carry or borrow arith808 Addition of mixed numbers with different denominators and carry arith809 Subtraction of mixed numbers with different denominators and borrowing arith807 Addition and subtraction of 3 mixed numbers with different denominators arith810 Word problem involving addition or subtraction of mixed numbers with different denominators arith815 Mixed number multiplication arith816 Multiplication of a mixed number and a whole number arith817 Division with a mixed number and a whole number arith068 Mixed number division arith820 Word problem involving multiplication or division with mixed numbers arith127 Writing a decimal and a fraction for a shaded region arith725 Converting a fraction with a denominator of 10 or 100 to a decimal arith726 Converting a fraction with a denominator of 100 or 1000 to a decimal arith113 Converting a proper fraction with a denominator of 2, 4, or 5 to a decimal arith114 Converting a mixed number with a denominator of 2, 4, or 5 to a decimal arith727 Converting a fraction to a terminating decimal: Basic arith728 Converting a fraction to a terminating decimal: Advanced arith730 Converting a fraction to a repeating decimal: Basic arith731 Converting a fraction to a repeating decimal: Advanced arith733 Using a calculator to convert a fraction to a rounded decimal arith111 Converting a mixed number to a terminating decimal: Basic arith112 Converting a mixed number to a terminating decimal: Advanced arith732 Converting a fraction or mixed number to a rounded decimal arith609 Ordering fractions and decimals arith717 Converting a decimal to a proper fraction without simplifying: Basic arith719 Converting a decimal to a proper fraction without simplifying: Advanced arith718 Converting a decimal to a proper fraction in simplest form: Basic arith087 Converting a decimal to a proper fraction in simplest form: Advanced arith721 Converting a decimal to a mixed number and an improper fraction without simplifying arith722 Converting a decimal to a mixed number and an improper fraction in simplest form: Basic arith724 Converting a decimal to a mixed number and an improper fraction in simplest form: Advanced

287

288 APPENDIX B. PROGRAMS IN ALEKS arith513 Identifying rational decimal numbers arith821 Exponents and fractions arith859 Order of operations with fractions: Problem type 1 arith860 Order of operations with fractions: Problem type 2 arith861 Order of operations with fractions: Problem type 3 arith695 Complex fraction without variables: Problem type 1 arith748 Addition or subtraction with a decimal and a mixed number arith749 Multiplication with a decimal and a fraction

Ratios, Proportions, and Measurement arith823 Writing ratios using different notations arith663 Writing ratios for real-world situations arith450 Identifying statements that describe a ratio arith824 Simplifying a ratio of whole numbers: Problem type 1 arith825 Simplifying a ratio of decimals arith827 Finding a unit price arith455 Using tables to compare ratios arith828 Computing unit prices to find the better buy arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers arith064 Solving a word problem on proportions using a unit rate alge823 Solving a one-step word problem using the formula d = rt alge281 Function tables with one-step rules arith452 Finding missing values in a table of equivalent ratios arith453 Using a table of equivalent ratios to find a missing quantity in a ratio arith504 Writing an equation to represent a proportional relationship alge819 Solving a proportion of the form x/a=b/c: Basic alge272 Solving a proportion of the form x/a = b/c arith610 Word problem on proportions: Problem type 1 arith611 Word problem on proportions: Problem type 2 arith045 Word problem with powers of ten geom359 Identifying congruent shapes on a grid geom360 Identifying similar or congruent shapes on a grid geom037 Similar polygons geom038 Similar right triangles geom337 Indirect measurement geom538 Finding lengths using scale models geom539 Finding a scale factor: Same units geom541 Using a scale drawing to find actual area geom542 Reproducing a scale drawing at a different scale mstat058 Choosing a measuring tool mstat059 Choosing U.S. Customary measurement units mstat033 Measuring length to the nearest inch mstat034 Measuring length to the nearest quarter or half inch unit005 U.S. Customary unit conversion with whole number values mstat035 Conversions involving measurements in feet and inches mstat036 Adding measurements in feet and inches unit006 U.S. Customary unit conversion with whole number values: Two-step conversion unit007 U.S. Customary unit conversion with mixed number values: One-step conversion unit008 U.S. Customary unit conversion with mixed number values: Two-step conversion unit009 U.S. Customary area unit conversion with whole number values mstat060 Choosing metric measurement units mstat063 Measuring length to the nearest centimeter mstat064 Measuring length to the nearest millimeter unit001 Metric distance conversion with whole number values unit002 Metric mass or capacity conversion with whole number values unit003 Metric distance conversion with decimal values unit004 Metric conversion with decimal values: Two-step problem unit010 Metric area unit conversion with decimal values unit012 Time unit conversion with whole number values

B.13. M.S. MATH 1 / LV6 time009 Introduction to adding time time006 Adding time time011 Introduction to elapsed time time007 Elapsed time mstat062 Reading a positive temperature from a thermometer mstat065 Converting between temperatures in Fahrenheit and Celsius arith826 Simplifying a ratio of whole numbers: Problem type 2 alge218 Solving a word problem involving rates and time conversion unit034 Converting between metric and U.S. Customary unit systems unit035 Converting between compound units: Basic unit036 Converting between compound units: Advanced

Percents arith836 Converting a fraction with a denominator of 100 to a percentage arith837 Converting a percentage to a fraction with a denominator of 100 arith674 Finding the percentage of a grid that is shaded arith903 Representing benchmark percentages on a grid arith723 Introduction to converting a percentage to a decimal arith833 Introduction to converting a decimal to a percentage arith834 Converting between percentages and decimals arith841 Converting a mixed number percentage to a decimal arith835 Converting between percentages and decimals in a real-world situation arith090 Converting a percentage to a fraction in simplest form arith839 Converting a decimal percentage to a fraction arith838 Converting a fraction to a percentage: Denominator of 4, 5, or 10 arith904 Finding benchmark fractions and percentages for a figure arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50 arith843 Using a calculator to convert a fraction to a rounded percentage arith842 Converting a fraction to a percentage in a real-world situation arith840 Finding a percentage of a whole number arith030 Finding a percentage of a whole number without a calculator: Basic arith844 Finding a percentage of a whole number without a calculator: Advanced arith862 Applying the percent equation: Problem type 1 arith863 Applying the percent equation: Problem type 2 arith845 Finding a percentage of a total amount: Real-world situations arith846 Finding a percentage of a total amount without a calculator: Sales tax, commission, discount arith857 Estimating a tip without a calculator arith069 Writing a ratio as a percentage without a calculator arith850 Finding the rate of a tax or commission arith849 Finding the total amount given the percentage of a partial amount stat805 Making a reasonable inference based on proportion statistics stat804 Interpreting a circle graph or pie chart arith856 Finding a percentage of a total amount in a circle graph stat801 Computations from a circle graph arith852 Finding the multiplier to give a final amount after a percentage increase or decrease arith851 Finding the final amount given the original amount and a percentage increase or decrease arith847 Finding the sale price given the original price and percent discount arith074 Finding the sale price without a calculator given the original price and percent discount arith848 Finding the total cost including tax or markup arith855 Finding the original amount given the result of a percentage increase or decrease arith031 Finding the original price given the sale price and percent discount arith858 Finding the percentage increase or decrease: Basic arith225 Finding the percentage increase or decrease: Advanced arith232 Finding simple interest without a calculator arith918 Comparing discounts arith914 Calculations involving paying for college arith916 Computing percentages for categories of a budget arith921 Comparing annual salaries of different occupations arith911 Calculations involving purchases with debit and credit cards

289

290 APPENDIX B. PROGRAMS IN ALEKS arith950 Comparing costs of checking accounts arith951 Balancing a check register arith912 Reading a credit report arith913 Understanding the impact of a credit score

Integers and Rational Numbers alge286 Plotting integers on a number line mstat038 Reading the temperature from a thermometer arith691 Ordering integers arith415 Using a number line to compare integers arith699 Writing a signed number for a real-world situation arith400 Interpreting a table of signed numbers that relate to a real-world situation: Problem type 1 arith511 Interpreting a table of signed numbers that relate to a real-world situation: Problem type 2 arith416 Comparing signed numbers relating to a real-world situation arith402 Plotting opposite integers on a number line arith403 Finding opposites of integers arith071 Absolute value of a number arith412 Finding all numbers with a given absolute value arith605 Plotting rational numbers on a number line arith200 Integer addition: Problem type 1 arith108 Integer addition: Problem type 2 arith431 Identifying a sum as a point located a given distance from another point arith430 Identifying relative change when combining two quantities arith688 Integer subtraction: Problem type 1 arith689 Integer subtraction: Problem type 2 arith690 Integer subtraction: Problem type 3 arith754 Addition and subtraction with 3 integers arith755 Addition and subtraction with 4 or 5 integers arith440 Operations with absolute value: Problem type 1 arith104 Operations with absolute value: Problem type 2 alge694 Computing the distance between two integers on a number line arith433 Computing and understanding distances between integers on a number line arith701 Word problem with addition or subtraction of integers arith231 Integer multiplication and division arith800 Multiplication of 3 or 4 integers arith952 Word problem with multiplication or division of integers arith702 Exponents and integers: Problem type 1 arith118 Order of operations with integers arith600 Order of operations with integers and exponents alge790 Evaluating expressions with exponents of zero arith684 Power of 10: Negative exponent scinot024 Introduction to scientific notation with negative exponents arith037 Scientific notation with negative exponent scinot012 Converting between scientific notation and standard form in a real-world situation arith117 Signed decimal addition and subtraction arith234 Signed decimal addition and subtraction with 3 numbers arith750 Signed decimal multiplication arith751 Signed decimal division alge660 Identifying equivalent signed fractions arith822 Signed fraction multiplication: Basic arith105 Signed fraction multiplication: Advanced arith814 Signed fraction division arith116 Signed fraction addition or subtraction: Basic arith864 Signed fraction subtraction involving double negation arith106 Signed fraction addition or subtraction: Advanced arith811 Addition and subtraction of 3 fractions involving signs geom525 Computing distances between decimals on the number line alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction alge004 Evaluating a quadratic expression: Integers

B.13. M.S. MATH 1 / LV6 alge302 Evaluating a linear expression: Signed decimal addition and subtraction alge303 Evaluating a linear expression: Signed decimal multiplication with addition or subtraction alge808 Evaluating a linear expression: Signed fraction multiplication with addition or subtraction alge001 Identifying numbers as integers or non-integers alge647 Identifying like terms alge700 Combining like terms: Whole number coefficients alge607 Combining like terms: Integer coefficients arith655 Introduction to properties of addition alge187 Properties of addition alge665 Combining like terms: Decimal coefficients alge666 Combining like terms: Fractional coefficients alge310 Multiplying a constant and a linear monomial alge606 Distributive property: Whole number coefficients alge610 Distributive property: Fractional coefficients alge605 Factoring a linear binomial alge612 Identifying parts in an algebraic expression alge613 Identifying equivalent algebraic expressions arith656 Introduction to properties of multiplication alge188 Properties of real numbers alge608 Using distribution and combining like terms to simplify: Univariate alge667 Identifying properties used to simplify an algebraic expression

Equations and Inequalities alge800 Additive property of equality with decimals alge801 Additive property of equality with fractions and mixed numbers alge010 Additive property of equality with integers alge836 Additive property of equality with signed fractions alge825 Multiplicative property of equality with decimals alge646 Multiplicative property of equality with whole numbers: Fractional answers alge820 Multiplicative property of equality with fractions alge797 Multiplicative property of equality with integers alge012 Multiplicative property of equality with signed fractions alge834 Identifying solutions to a linear equation in one variable: Two-step equations alge803 Using two steps to solve an equation with whole numbers alge266 Additive property of equality with a negative coefficient alge006 Solving a two-step equation with integers alge920 Introduction to solving an equation with parentheses alge837 Solving a multi-step equation given in fractional form alge838 Introduction to solving an equation with variables on the same side alge862 Solving a linear equation with several occurrences of the variable: Variables on the same side alge611 Introduction to solving a linear equation with a variable on each side alge658 Introduction to solving a rational equation alge802 Solving a fraction word problem using a linear equation of the form Ax = B alge671 Choosing stories that can be represented by given one-step equations alge841 Translating a sentence into a multi-step equation alge628 Writing an equation of the form Ax + B = C to solve a word problem alge618 Comparing arithmetic and algebraic solutions to a word problem alge672 Choosing stories that can be represented by given two-step equations alge014 Solving a word problem with two unknowns using a linear equation alge511 Solving for a variable in terms of other variables using addition or subtraction: Basic alge513 Solving for a variable in terms of other variables using multiplication or division: Basic alge015 Translating a sentence by using an inequality symbol alge845 Translating a sentence into a one-step inequality alge653 Introduction to identifying solutions to an inequality alge748 Writing an inequality for a real-world situation alge017 Graphing a linear inequality on the number line alge822 Writing an inequality given a graph on the number line alge166 Graphing a compound inequality on the number line alge652 Identifying solutions to a one-step linear inequality

291

292 APPENDIX B. PROGRAMS IN ALEKS alge848 Additive property of inequality with whole numbers alge849 Additive property of inequality with integers alge809 Multiplicative property of inequality with whole numbers alge854 Multiplicative property of inequality with integers alge636 Solving a two-step linear inequality with whole numbers alge846 Translating a sentence into a multi-step inequality alge621 Solving a word problem using a one-step linear inequality alge623 Solving a word problem using a two-step linear inequality

Graphs and Functions alge278 Reading a point in quadrant 1 alge279 Plotting a point in quadrant 1 alge064 Reading a point in the coordinate plane alge067 Plotting a point in the coordinate plane alge692 Plotting a point in quadrant 1: Mixed number coordinates alge693 Plotting a point in the coordinate plane: Mixed number coordinates arith404 Naming the quadrant or axis of a point given its graph arith405 Naming the quadrant or axis of a point given its coordinates arith406 Naming the quadrant or axis of a point given the signs of its coordinates alge695 Finding distances between points that share a common coordinate: Problem type 1 alge696 Finding distances between points that share a common coordinate: Problem type 2 arith454 Making a table and plotting points given a unit rate alge283 Graphing whole number functions alge282 Function tables with two-step rules alge850 Table for a linear equation fun001 Table for a linear function fun005 Writing a function rule given a table of ordered pairs: One-step rules fun006 Writing a function rule given a table of ordered pairs: Two-step rules alge873 Identifying solutions to a linear equation in two variables alge066 Finding a solution to a linear equation in two variables alge280 Graphing a line in quadrant 1 alge877 Graphing a linear equation of the form y = mx alge878 Graphing a line given its equation in slope-intercept form: Integer slope alge879 Graphing a line given its equation in slope-intercept form: Fractional slope alge198 Graphing a vertical or horizontal line alge884 Finding x- and y-intercepts given the graph of a line on a grid mstat007 Interpreting a line graph alge575 Finding slope given the graph of a line in quadrant 1 that models a real-world situation alge875 Classifying slopes given graphs of lines alge886 Finding slope given the graph of a line on a grid alge887 Finding slope given two points on the line alge885 Finding the slope of horizontal and vertical lines alge630 Finding outputs of a one-step function that models a real-world situation: Two variable equation alge632 Finding outputs of a two-step function with decimals that models a real-world situation: Two variable equation alge633 Finding inputs and outputs of a two-step function that models a real-world situation: Two variable equation alge655 Writing and evaluating a function that models a real-world situation: Basic alge897 Writing and evaluating a function that models a real-world situation: Advanced alge654 Graphing ordered pairs and writing an equation from a table of values in context alge656 Writing an equation and drawing its graph to model a real-world situation: Basic alge701 Writing an equation and drawing its graph to model a real-world situation: Advanced alge818 Finding the initial amount and rate of change given a graph of a linear function alge670 Identifying independent and dependent quantities from tables and graphs mstat052 Identifying independent and dependent variables from equations or real-world situations alge999 Finding where a function is increasing, decreasing, or constant given the graph mstat018 Choosing a graph to fit a narrative: Basic mstat051 Choosing a graph to fit a narrative : Advanced alge263 Interpreting the graphs of two functions

B.13. M.S. MATH 1 / LV6 alge925 Finding the next terms of an arithmetic sequence with whole numbers alge933 Finding the next terms of a geometric sequence with whole numbers alge732 Finding patterns in shapes alge906 Finding the next terms of an arithmetic sequence with integers alge979 Identifying arithmetic sequences and finding the common difference alge931 Finding a specified term of an arithmetic sequence given the first terms alge907 Finding the next terms of a geometric sequence with signed numbers alge981 Identifying arithmetic and geometric sequences alge980 Identifying geometric sequences and finding the common ratio

Angles, Lines, and Polygons geom151 Measuring an angle with the protractor geom152 Drawing an angle with the protractor geom303 Acute, obtuse, and right angles geom039 Finding supplementary and complementary angles geom551 Finding the complement or supplement of an angle given a figure geom305 Identifying supplementary and vertical angles geom553 Finding angle measures given two intersecting lines geom304 Identifying corresponding and alternate angles geom349 Naming segments, rays, and lines geom358 Identifying parallel and perpendicular lines geom554 Finding angle measures given two parallel lines cut by a transversal geom154 Constructing the perpendicular bisector of a line segment geom158 Constructing an angle bisector geom159 Constructing congruent angles geom150 Constructing a pair of perpendicular lines geom157 Constructing a pair of parallel lines geom306 Acute, obtuse, and right triangles geom307 Scalene, isosceles, and equilateral triangles geom001 Finding an angle measure of a triangle given two angles geom908 Finding an angle measure for a triangle with an extended side geom812 Finding an angle measure given extended triangles geom813 Finding an angle measure given a triangle and parallel lines geom519 Identifying and naming congruent parts of congruent triangles geom543 Drawing a circle with a given radius or diameter geom544 Creating triangles from given side lengths: Problem type 1 geom634 Creating triangles from given side lengths: Problem type 2 geom844 Triangle inequality: Problem type 1 geom548 Determining if a triangle is possible based on given angle measures geom546 Drawing triangles with given conditions: Angle measures geom547 Drawing triangles with given conditions: Side lengths and angle measures geom545 Drawing triangles with given side lengths using a compass geom361 Naming polygons mstat042 Interpreting a Venn diagram of 2 sets geom536 Drawing and identifying a polygon in the coordinate plane geom867 Identifying parallelograms, rectangles, and squares geom310 Classifying quadrilaterals geom532 Classifying parallelograms geom818 Finding the coordinates of a point to make a parallelogram geom870 Sum of the angle measures of a quadrilateral geom852 The sum of interior angle measures in a convex polygon arith016 Square root of a perfect square alge413 Finding all square roots of a number arith763 Using a calculator to approximate a square root arith602 Estimating a square root alge407 Introduction to the Pythagorean Theorem geom044 Pythagorean Theorem alge408 Word problem involving the Pythagorean Theorem geom603 Identifying side lengths that give right triangles

293

294 APPENDIX B. PROGRAMS IN ALEKS

Transformations geom357 Identifying transformations geom355 Introduction to translations geom596 Translating a point and giving its coordinates: One step geom909 Translating a point and giving its coordinates: Two steps geom597 Properties of translated figures geom598 Determining if figures are related by a translation geom330 Translating a polygon geom356 Introduction to reflections arith408 Reflecting a point across an axis geom533 Reflecting a point across both coordinate axes geom590 Reflecting a point across an axis and giving its coordinates arith407 Coordinates of a point reflected across an axis geom560 Coordinates of a point reflected across both axes geom534 Reflecting a polygon across the x-axis or y-axis geom591 Properties of reflected figures geom592 Determining if figures are related by a reflection geom332 Reflecting a polygon over a vertical or horizontal line geom334 Drawing lines of symmetry geom602 Finding the coordinates of a point reflected across an axis and translated geom815 Finding an angle of rotation geom624 Identifying rotational symmetry and angles of rotation geom593 Rotating a point and giving its coordinates geom594 Properties of rotated figures geom595 Determining if figures are related by a rotation geom335 Rotating a figure about the origin geom580 Determining if figures are congruent and related by a transformation geom606 Dilating a segment and giving the coordinates of its endpoints geom607 The effect of dilation on side length geom608 Determining if figures are related by a dilation geom636 The effect of dilation on area

Perimeters, Areas, and Volumes geom618 Perimeter of a polygon involving mixed numbers and fractions geom078 Sides of polygons having the same perimeter geom221 Finding the missing length in a figure geom353 Perimeter of a piecewise rectangular figure alge615 Writing algebraic expressions for the perimeter of a figure geom620 Area of a rectangle involving fractions geom619 Area of a rectangle involving mixed numbers and fractions geom350 Distinguishing between area and perimeter geom351 Areas of rectangles with the same perimeter geom869 Estimates and exact answers alge616 Writing algebraic expressions for the area of a figure geom410 Word problem involving the area of a square or a rectangle geom217 Finding the side length of a rectangle given its perimeter or area geom340 Area of a piecewise rectangular figure geom562 Area between two rectangles geom142 Word problem involving the area between two rectangles geom501 Finding the area of a right triangle on a grid geom509 Finding the area of a right triangle or its corresponding rectangle geom801 Area of a triangle geom517 Finding the area of a trapezoid on a grid by using triangles and rectangles geom344 Area involving rectangles and triangles geom022 Area of a parallelogram geom023 Area of a trapezoid geom537 Finding the perimeter or area of a rectangle in the coordinate plane

B.13. M.S. MATH 1 / LV6 geom832 Area of quadrilaterals in the coordinate plane geom347 Introduction to a circle: Diameter, radius, and chord geom016 Circumference of a circle geom218 Finding the radius or the diameter of a circle given its circumference geom838 Circumference ratios geom301 Perimeter involving rectangles and circles geom026 Area of a circle geom802 Circumference and area of a circle geom570 Distinguishing between the area and circumference of a circle geom302 Area involving rectangles and circles geom563 Area between two concentric circles geom036 Word problem involving the area between two concentric circles geom214 Area involving inscribed figures geom868 Classifying solids geom348 Vertices, edges, and faces of a solid geom830 Counting the cubes in a solid made of cubes geom816 Side views of a solid made of cubes geom550 Identifying horizontal and vertical cross sections of solids geom311 Volume of a rectangular prism geom354 Volume of a rectangular prism made of unit cubes geom518 Volume of a solid made of cubes with unit fraction edge lengths geom535 Volume of a rectangular prism with fractional edge lengths alge617 Writing equivalent expressions for the volume of a rectangular prism geom571 Word problem involving the volume of a rectangular prism geom558 Word problem involving the rate of filling or emptying a rectangular prism geom505 Volume of a piecewise rectangular prism geom090 Volume of a triangular prism geom572 Word problem involving the volume of a triangular prism geom033 Volume of a pyramid geom637 Relating the volumes of a rectangular prism and a rectangular pyramid geom638 Relating the volumes of a triangular prism and a triangular pyramid geom035 Volume of a cylinder geom573 Word problem involving the volume of a cylinder geom092 Word problem involving the rate of filling or emptying a cylinder geom622 Volume of a cone geom086 Volume of a cone: Exact answers in terms of pi geom639 Relating the volumes of a cylinder and a cone geom575 Word problem involving the volume of a cone geom219 Nets of solids geom031 Surface area of a cube or a rectangular prism geom632 Surface area of a rectangular prism made of unit cubes geom555 Distinguishing between surface area and volume geom556 Using a net to find the surface area of a rectangular prism geom576 Word problem involving the surface area of a rectangular prism geom345 Surface area of a piecewise rectangular prism made of unit cubes geom091 Surface area of a triangular prism geom557 Using a net to find the surface area of a triangular prism geom621 Surface area of a cylinder geom034 Surface area of a cylinder: Exact answers in terms of pi geom578 Word problem involving the surface area of a cylinder

Data Analysis and Probability mstat088 Identifying statistical questions mstat080 Choosing an appropriate method for gathering data: Problem type 1 mstat081 Choosing an appropriate method for gathering data: Problem type 2 mstat056 Interpreting a tally table mstat097 Constructing a two-way frequency table: Basic mstat098 Constructing a two-way frequency table: Advanced mstat049 Computing a percentage from a table of values

295

296 APPENDIX B. PROGRAMS IN ALEKS mstat087 Making an inference using a two-way frequency table stat020 Calculating relative frequencies in a contingency table mstat025 Finding if a question can be answered by the data mstat037 Constructing a line plot mstat005 Constructing a bar graph for non-numerical data mstat004 Constructing a histogram for numerical data mstat024 Interpreting a bar graph mstat044 Interpreting a double bar graph mstat057 Interpreting a pictograph table mstat031 Interpreting a stem-and-leaf plot geom814 Angle measure in a circle graph mstat094 Constructing a scatter plot mstat030 Sketching the line of best fit mstat023 Scatter plots and correlation mstat003 Mode of a data set mstat055 Finding the mode and range of a data set mstat092 Finding the mode and range from a line plot mstat001 Mean of a data set mstat077 Using a model to find the mean mstat075 Understanding the mean graphically: Two bars mstat076 Understanding the mean graphically: Four or more bars mstat091 Finding the mean of a symmetric distribution mstat079 Finding sample size and comparing samples for estimating the mean mstat089 Computations involving the mean, sample size, and sum of a data set stat803 Finding the value for a new score that will yield a given mean stat802 Rejecting unreasonable claims based on average statistics mstat066 Weighted mean mstat028 Mean and median of a data set mstat029 How changing a value affects the mean and median mstat095 Finding outliers in a data set mstat053 Choosing the best measure to describe data mstat078 Comparing measures of center and variation mstat027 Using back-to-back stem-and-leaf plots to compare data sets mstat072 Five-number summary and interquartile range mstat006 Constructing a box-and-whisker plot mstat073 Using box-and-whisker plots to compare data sets mstat082 Computing mean absolute deviation from a list of numerical values mstat083 Computing mean absolute deviation from a bar graph mstat043 Interpreting a Venn diagram of 3 sets mstat041 Interpreting a tree diagram mstat040 Introduction to the counting principle mstat015 Counting principle mstat099 Determining a sample space and outcomes for a simple event mstat100 Determining a sample space and outcomes for a compound event pcalc082 Factorial expressions mstat017 Computing permutations and combinations mstat008 Word problem involving permutations mstat009 Word problem involving combinations mstat054 Classifying likelihood mstat026 Introduction to the probability of an event mstat010 Probability of an event mstat039 Understanding likelihood mstat048 Odds of an event stat106 Outcomes and event probability mstat011 Area as probability mstat046 Experimental and theoretical probability mstat047 Introduction to expectation mstat012 Probability of independent events mstat013 Probability of dependent events

B.14. M.S. MATH 2

## B.14

## M.S. Math 2

Whole Numbers and Integers arith124 Whole number place value: Problem type 1 arith125 Whole number place value: Problem type 2 arith066 Expanded form arith643 Expanded form with zeros arith028 Numeral translation: Problem type 1 arith060 Numeral translation: Problem type 2 arith630 Addition with carry to the hundreds place arith012 Addition of large numbers arith006 Subtraction with borrowing arith682 Subtraction with multiple regrouping steps arith637 Subtraction and regrouping with zeros arith613 Word problem with addition or subtraction of whole numbers mstat061 Describing an increasing or decreasing pattern from a table of values arith126 Multiplication as repeated addition arith004 Multiplication with carry arith615 Introduction to multiplication of large numbers arith675 Understanding multiplication of a one-digit number with a larger number arith014 Multiplication of large numbers arith641 Multiples: Problem type 1 arith642 Multiples: Problem type 2 arith614 Word problem with multiplication or division of whole numbers arith130 Word problem with multiplication and addition or subtraction of whole numbers arith451 Word problem on unit rates associated with ratios of whole numbers: Whole number answers arith243 Division of whole numbers given in fractional form arith711 Division involving zero arith005 Division with carry arith901 Whole number division: 2-digit by 2-digit, no remainder arith902 Whole number division: 3-digit by 2-digit, no remainder arith616 Quotient and remainder: Problem type 1 arith617 Quotient and remainder: Problem type 2 arith631 Quotient and remainder: Problem type 3 arith650 Division involving quotients with intermediate zeros arith023 Word problem with division of whole numbers and rounding arith651 Introduction to inequalities arith652 Comparing a numerical expression with a number arith077 Ordering large numbers arith078 Rounding to tens or hundreds arith123 Rounding to hundreds or thousands arith061 Rounding to thousands, ten thousands, or hundred thousands arith101 Estimating a sum of whole numbers arith102 Estimating a difference of whole numbers arith677 Estimating a product arith678 Estimating a quotient arith692 Writing expressions using exponents arith233 Introduction to exponents arith683 Power of 10: Positive exponent arith645 Introduction to parentheses arith865 Comparing numerical expressions with parentheses arith681 Introduction to order of operations arith048 Order of operations with whole numbers arith051 Order of operations with whole numbers and grouping symbols arith693 Order of operations with whole numbers and exponents: Basic arith713 Order of operations with whole numbers and exponents: Advanced arith646 Even and odd numbers arith647 Divisibility rules for 2, 5, and 10 arith648 Divisibility rules for 3 and 9 arith056 Factors

297

298 APPENDIX B. PROGRAMS IN ALEKS arith034 Prime numbers arith035 Prime factorization arith033 Greatest common factor of 2 numbers arith516 Greatest common factor of 3 numbers arith409 Introduction to the distributive property arith657 Understanding the distributive property arith410 Introduction to factoring with numbers arith411 Factoring a sum or difference of whole numbers arith070 Least common multiple of 2 numbers arith804 Least common multiple of 3 numbers arith418 Word problem involving the least common multiple of 2 numbers arith240 Word problem with common multiples alge286 Plotting integers on a number line arith691 Ordering integers arith415 Using a number line to compare integers arith699 Writing a signed number for a real-world situation arith400 Interpreting a table of signed numbers that relate to a real-world situation: Problem type 1 arith511 Interpreting a table of signed numbers that relate to a real-world situation: Problem type 2 arith416 Comparing signed numbers relating to a real-world situation arith402 Plotting opposite integers on a number line arith403 Finding opposites of integers arith071 Absolute value of a number arith412 Finding all numbers with a given absolute value arith200 Integer addition: Problem type 1 arith108 Integer addition: Problem type 2 arith431 Identifying a sum as a point located a given distance from another point arith430 Identifying relative change when combining two quantities arith688 Integer subtraction: Problem type 1 arith689 Integer subtraction: Problem type 2 arith690 Integer subtraction: Problem type 3 arith754 Addition and subtraction with 3 integers arith755 Addition and subtraction with 4 or 5 integers arith440 Operations with absolute value: Problem type 1 arith104 Operations with absolute value: Problem type 2 alge694 Computing the distance between two integers on a number line arith433 Computing and understanding distances between integers on a number line arith701 Word problem with addition or subtraction of integers arith231 Integer multiplication and division arith800 Multiplication of 3 or 4 integers arith952 Word problem with multiplication or division of integers arith702 Exponents and integers: Problem type 1 arith703 Exponents and integers: Problem type 2 arith118 Order of operations with integers arith600 Order of operations with integers and exponents alge284 Evaluating an algebraic expression: Whole number addition or subtraction alge683 Evaluating an algebraic expression: Whole number multiplication or division alge285 Evaluating an algebraic expression: Whole numbers with two operations alge649 Evaluating a formula alge648 Evaluating an algebraic expression: Whole numbers with one operation and an exponent alge832 Evaluating an algebraic expression: Whole number operations and exponents alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction alge004 Evaluating a quadratic expression: Integers alge733 Writing a one-step expression for a real-world situation alge831 Translating a phrase into a one-step expression alge291 Translating a phrase into a two-step expression geom339 Perimeter of a polygon geom300 Perimeter of a square or a rectangle geom019 Area of a square or a rectangle geom866 Perimeter and area on a grid geom311 Volume of a rectangular prism alge650 Identifying solutions to a one-step linear equation: Problem type 1 alge651 Identifying solutions to a one-step linear equation: Problem type 2

B.14. M.S. MATH 2 alge009 Additive property of equality with whole numbers alge010 Additive property of equality with integers alge008 Multiplicative property of equality with whole numbers alge797 Multiplicative property of equality with integers

Fractions arith623 Introduction to fractions arith665 Understanding equivalent fractions arith212 Equivalent fractions arith666 Introduction to simplifying a fraction arith067 Simplifying a fraction alge660 Identifying equivalent signed fractions arith687 Fractional position on a number line arith667 Plotting fractions on a number line arith044 Ordering fractions with the same denominator arith091 Ordering fractions with the same numerator arith092 Using a common denominator to order fractions arith079 Product of a unit fraction and a whole number arith086 Product of a fraction and a whole number: Problem type 1 arith119 Introduction to fraction multiplication arith053 Fraction multiplication arith812 Product of a fraction and a whole number: Problem type 2 arith905 Determining if a quantity is increased or decreased when multiplied by a fraction arith509 Modeling multiplication of proper fractions arith813 Multiplication of 3 fractions arith822 Signed fraction multiplication: Basic arith105 Signed fraction multiplication: Advanced arith818 Word problem involving fractions and multiplication arith095 Multi-step word problem involving fractions and multiplication arith088 The reciprocal of a number arith694 Division involving a whole number and a fraction arith022 Fraction division arith507 Fact families for multiplication and division of fractions arith508 Modeling division of a whole number by a fraction arith814 Signed fraction division arith819 Word problem involving fractions and division arith618 Addition or subtraction of fractions with the same denominator arith802 Addition or subtraction of fractions with the same denominator and simplification alge432 Introduction to adding fractions with variables and common denominators arith801 Finding the LCD of two fractions arith109 Addition or subtraction of unit fractions arith664 Introduction to addition or subtraction of fractions with different denominators arith230 Addition or subtraction of fractions with different denominators arith803 Addition and subtraction of 3 fractions with different denominators arith116 Signed fraction addition or subtraction: Basic arith864 Signed fraction subtraction involving double negation arith106 Signed fraction addition or subtraction: Advanced arith811 Addition and subtraction of 3 fractions involving signs arith805 Word problem involving addition or subtraction of fractions with different denominators arith100 Fractional part of a circle arith662 Writing a mixed number and an improper fraction for a shaded region arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction arith605 Plotting rational numbers on a number line arith215 Addition or subtraction of mixed numbers with the same denominator arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing arith806 Addition or subtraction of mixed numbers with different denominators and no carry or borrow arith808 Addition of mixed numbers with different denominators and carry

299

300 APPENDIX B. PROGRAMS IN ALEKS arith809 Subtraction of mixed numbers with different denominators and borrowing arith807 Addition and subtraction of 3 mixed numbers with different denominators arith810 Word problem involving addition or subtraction of mixed numbers with different denominators arith815 Mixed number multiplication arith816 Multiplication of a mixed number and a whole number arith817 Division with a mixed number and a whole number arith068 Mixed number division arith820 Word problem involving multiplication or division with mixed numbers arith821 Exponents and fractions alge790 Evaluating expressions with exponents of zero arith704 Exponents and signed fractions arith859 Order of operations with fractions: Problem type 1 arith860 Order of operations with fractions: Problem type 2 arith861 Order of operations with fractions: Problem type 3 arith695 Complex fraction without variables: Problem type 1 alge808 Evaluating a linear expression: Signed fraction multiplication with addition or subtraction alge801 Additive property of equality with fractions and mixed numbers alge836 Additive property of equality with signed fractions alge646 Multiplicative property of equality with whole numbers: Fractional answers alge820 Multiplicative property of equality with fractions alge012 Multiplicative property of equality with signed fractions

Decimals arith127 Writing a decimal and a fraction for a shaded region arith110 Decimal place value: Tenths and hundredths arith220 Decimal place value: Hundreds to ten thousandths arith714 Writing a decimal number less than 1 given its name arith715 Writing a decimal number greater than 1 given its name arith716 Writing a decimal number given its name: Advanced arith829 Reading decimal position on a number line: Tenths arith830 Reading decimal position on a number line: Hundredths arith831 Understanding decimal position on a number line using zoom: Hundredths arith832 Understanding decimal position on a number line using zoom: Thousandths arith129 Introduction to ordering decimals arith608 Ordering decimals arith221 Rounding decimals arith717 Converting a decimal to a proper fraction without simplifying: Basic arith719 Converting a decimal to a proper fraction without simplifying: Advanced arith718 Converting a decimal to a proper fraction in simplest form: Basic arith087 Converting a decimal to a proper fraction in simplest form: Advanced arith721 Converting a decimal to a mixed number and an improper fraction without simplifying arith722 Converting a decimal to a mixed number and an improper fraction in simplest form: Basic arith724 Converting a decimal to a mixed number and an improper fraction in simplest form: Advanced arith624 Addition of aligned decimals arith013 Decimal addition with 3 numbers arith734 Subtraction of aligned decimals arith735 Decimal subtraction: Basic arith736 Decimal subtraction: Advanced arith737 Decimal addition and subtraction with 3 or more numbers arith131 Estimating a decimal sum or difference arith117 Signed decimal addition and subtraction arith234 Signed decimal addition and subtraction with 3 numbers geom525 Computing distances between decimals on the number line arith132 Word problem with addition or subtraction of 2 decimals arith133 Word problem with addition of 3 or 4 decimals and whole numbers arith134 Word problem with subtraction of a whole number and a decimal: Regrouping with zeros arith739 Introduction to decimal multiplication arith017 Multiplication of a decimal by a whole number arith055 Decimal multiplication: Problem type 1

B.14. M.S. MATH 2 arith046 Decimal multiplication: Problem type 2 arith082 Multiplication of a decimal by a power of ten arith738 Multiplication of a decimal by a power of 0.1

arith740 Multiplication of decimals that have a product less than 0.1

arith752 Estimating a product of decimals arith750 Signed decimal multiplication arith135 Word problem with multiplication of a decimal and a whole number arith137 Word problem with multiplication of two decimals arith628 Word problem with multiple decimal operations: Problem type 1 arith744 Whole number division with decimal answers arith081 Division of a decimal by a whole number arith743 Division of a decimal by a 1-digit decimal arith019 Division of a decimal by a 2-digit decimal arith083 Division of a decimal by a power of ten arith742 Division of a decimal by a power of 0.1

arith745 Decimal division with rounding arith751 Signed decimal division arith136 Word problem with division of a decimal and a whole number arith138 Word problem with division of two decimals arith629 Word problem with multiple decimal operations: Problem type 2 arith103 Average of two numbers arith725 Converting a fraction with a denominator of 10 or 100 to a decimal arith726 Converting a fraction with a denominator of 100 or 1000 to a decimal arith113 Converting a proper fraction with a denominator of 2, 4, or 5 to a decimal arith114 Converting a mixed number with a denominator of 2, 4, or 5 to a decimal arith727 Converting a fraction to a terminating decimal: Basic arith728 Converting a fraction to a terminating decimal: Advanced arith730 Converting a fraction to a repeating decimal: Basic arith731 Converting a fraction to a repeating decimal: Advanced arith733 Using a calculator to convert a fraction to a rounded decimal arith111 Converting a mixed number to a terminating decimal: Basic arith112 Converting a mixed number to a terminating decimal: Advanced arith732 Converting a fraction or mixed number to a rounded decimal arith609 Ordering fractions and decimals alge001 Identifying numbers as integers or non-integers arith513 Identifying rational decimal numbers arith753 Squaring decimal bases: Products greater than 0.1

arith741 Exponents and decimals: Products less than 0.1

arith720 Order of operations with decimals: Problem type 1 arith746 Order of operations with decimals: Problem type 2 arith747 Order of operations with decimals: Problem type 3 arith748 Addition or subtraction with a decimal and a mixed number arith749 Multiplication with a decimal and a fraction alge302 Evaluating a linear expression: Signed decimal addition and subtraction alge303 Evaluating a linear expression: Signed decimal multiplication with addition or subtraction alge800 Additive property of equality with decimals alge825 Multiplicative property of equality with decimals

Ratios, Proportions, and Measurement arith823 Writing ratios using different notations arith663 Writing ratios for real-world situations arith450 Identifying statements that describe a ratio arith824 Simplifying a ratio of whole numbers: Problem type 1 arith825 Simplifying a ratio of decimals arith827 Finding a unit price arith455 Using tables to compare ratios arith828 Computing unit prices to find the better buy arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers arith505 Word problem on unit rates associated with ratios of fractions

301

302 APPENDIX B. PROGRAMS IN ALEKS arith506 Word problem on unit rates associated with ratios of mixed numbers arith064 Solving a word problem on proportions using a unit rate alge823 Solving a one-step word problem using the formula d = rt arith452 Finding missing values in a table of equivalent ratios arith453 Using a table of equivalent ratios to find a missing quantity in a ratio arith504 Writing an equation to represent a proportional relationship alge819 Solving a proportion of the form x/a=b/c: Basic alge272 Solving a proportion of the form x/a = b/c arith610 Word problem on proportions: Problem type 1 arith611 Word problem on proportions: Problem type 2 arith045 Word problem with powers of ten arith500 Identifying proportional relationships in tables by calculating unit rates: Whole numbers arith510 Identifying proportional relationships in tables by calculating unit rates: Fractions geom359 Identifying congruent shapes on a grid geom360 Identifying similar or congruent shapes on a grid geom037 Similar polygons geom038 Similar right triangles geom337 Indirect measurement geom538 Finding lengths using scale models geom539 Finding a scale factor: Same units geom541 Using a scale drawing to find actual area geom542 Reproducing a scale drawing at a different scale mstat058 Choosing a measuring tool mstat059 Choosing U.S. Customary measurement units mstat033 Measuring length to the nearest inch mstat034 Measuring length to the nearest quarter or half inch unit005 U.S. Customary unit conversion with whole number values mstat035 Conversions involving measurements in feet and inches mstat036 Adding measurements in feet and inches unit006 U.S. Customary unit conversion with whole number values: Two-step conversion unit007 U.S. Customary unit conversion with mixed number values: One-step conversion unit008 U.S. Customary unit conversion with mixed number values: Two-step conversion unit009 U.S. Customary area unit conversion with whole number values mstat060 Choosing metric measurement units mstat063 Measuring length to the nearest centimeter mstat064 Measuring length to the nearest millimeter unit001 Metric distance conversion with whole number values unit002 Metric mass or capacity conversion with whole number values unit003 Metric distance conversion with decimal values unit004 Metric conversion with decimal values: Two-step problem unit010 Metric area unit conversion with decimal values unit012 Time unit conversion with whole number values time009 Introduction to adding time time006 Adding time time011 Introduction to elapsed time time007 Elapsed time mstat062 Reading a positive temperature from a thermometer mstat038 Reading the temperature from a thermometer mstat065 Converting between temperatures in Fahrenheit and Celsius arith826 Simplifying a ratio of whole numbers: Problem type 2 alge218 Solving a word problem involving rates and time conversion unit034 Converting between metric and U.S. Customary unit systems unit035 Converting between compound units: Basic unit036 Converting between compound units: Advanced

Percents arith836 Converting a fraction with a denominator of 100 to a percentage arith837 Converting a percentage to a fraction with a denominator of 100 arith674 Finding the percentage of a grid that is shaded

B.14. M.S. MATH 2 arith903 Representing benchmark percentages on a grid arith723 Introduction to converting a percentage to a decimal arith833 Introduction to converting a decimal to a percentage arith834 Converting between percentages and decimals arith841 Converting a mixed number percentage to a decimal arith835 Converting between percentages and decimals in a real-world situation arith090 Converting a percentage to a fraction in simplest form arith839 Converting a decimal percentage to a fraction arith838 Converting a fraction to a percentage: Denominator of 4, 5, or 10 arith904 Finding benchmark fractions and percentages for a figure arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50 arith843 Using a calculator to convert a fraction to a rounded percentage arith842 Converting a fraction to a percentage in a real-world situation arith840 Finding a percentage of a whole number arith030 Finding a percentage of a whole number without a calculator: Basic arith844 Finding a percentage of a whole number without a calculator: Advanced arith862 Applying the percent equation: Problem type 1 arith863 Applying the percent equation: Problem type 2 arith845 Finding a percentage of a total amount: Real-world situations arith846 Finding a percentage of a total amount without a calculator: Sales tax, commission, discount arith857 Estimating a tip without a calculator arith069 Writing a ratio as a percentage without a calculator arith850 Finding the rate of a tax or commission arith849 Finding the total amount given the percentage of a partial amount stat805 Making a reasonable inference based on proportion statistics stat804 Interpreting a circle graph or pie chart arith856 Finding a percentage of a total amount in a circle graph stat801 Computations from a circle graph arith852 Finding the multiplier to give a final amount after a percentage increase or decrease arith851 Finding the final amount given the original amount and a percentage increase or decrease arith847 Finding the sale price given the original price and percent discount arith074 Finding the sale price without a calculator given the original price and percent discount arith848 Finding the total cost including tax or markup arith855 Finding the original amount given the result of a percentage increase or decrease arith031 Finding the original price given the sale price and percent discount arith858 Finding the percentage increase or decrease: Basic arith225 Finding the percentage increase or decrease: Advanced unit052 Finding the absolute error and percent error of a measurement arith232 Finding simple interest without a calculator arith853 Introduction to compound interest arith915 Calculating income tax arith918 Comparing discounts arith909 Examining a savings plan for college arith914 Calculations involving paying for college arith920 Comparing total costs for attending different colleges arith922 Distinguishing between fixed and variable expenses arith916 Computing percentages for categories of a budget arith919 Computations involving cost of living and hourly wage arith921 Comparing annual salaries of different occupations arith911 Calculations involving purchases with debit and credit cards arith950 Comparing costs of checking accounts arith951 Balancing a check register arith912 Reading a credit report arith913 Understanding the impact of a credit score arith917 Computing a person’s net worth arith906 Calculating and comparing monthly payments using the ALEKS loan calculator arith907 Calculating monthly payment, total payment, and interest using the ALEKS loan calculator arith908 Calculating and comparing total loan payments using the ALEKS loan calculator arith910 Calculating and comparing simple interest and compound interest

Equations and Inequalities

303

304 APPENDIX B. PROGRAMS IN ALEKS alge647 Identifying like terms alge700 Combining like terms: Whole number coefficients alge607 Combining like terms: Integer coefficients arith655 Introduction to properties of addition alge187 Properties of addition alge666 Combining like terms: Fractional coefficients alge665 Combining like terms: Decimal coefficients alge310 Multiplying a constant and a linear monomial alge606 Distributive property: Whole number coefficients alge604 Distributive property: Integer coefficients alge610 Distributive property: Fractional coefficients alge605 Factoring a linear binomial alge612 Identifying parts in an algebraic expression alge613 Identifying equivalent algebraic expressions arith656 Introduction to properties of multiplication alge188 Properties of real numbers alge608 Using distribution and combining like terms to simplify: Univariate alge667 Identifying properties used to simplify an algebraic expression alge609 Using distribution with double negation and combining like terms to simplify: Multivariate alge293 Combining like terms in a quadratic expression alge436 Adding rational expressions with different denominators and a single occurrence of a variable alge834 Identifying solutions to a linear equation in one variable: Two-step equations alge803 Using two steps to solve an equation with whole numbers alge266 Additive property of equality with a negative coefficient alge006 Solving a two-step equation with integers alge200 Solving an equation to find the value of an expression alge920 Introduction to solving an equation with parentheses alge837 Solving a multi-step equation given in fractional form alge986 Identifying properties used to solve a linear equation alge824 Solving a two-step equation with signed decimals alge838 Introduction to solving an equation with variables on the same side alge862 Solving a linear equation with several occurrences of the variable: Variables on the same side alge611 Introduction to solving a linear equation with a variable on each side alge863 Solving a linear equation with several occurrences of the variable: Variables on both sides alge011 Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution alge013 Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution alge209 Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions alge614 Clearing fractions in an equation alge420 Solving a linear equation with several occurrences of the variable: Fractional forms with monomial numerators alge208 Solving a two-step equation with signed fractions alge061 Solving a linear equation with several occurrences of the variable: Variables on both sides and fractional coefficients alge742 Solving equations with zero, one, or infinitely many solutions alge840 Solving a proportion of the form (x+a)/b = c/d alge271 Solving a proportion of the form a/(x+b) = c/x alge658 Introduction to solving a rational equation alge060 Solving a rational equation that simplifies to linear: Denominator x alge603 Introduction to solving an absolute value equation alge864 Solving an absolute value equation: Problem type 1 alge511 Solving for a variable in terms of other variables using addition or subtraction: Basic alge512 Solving for a variable in terms of other variables using addition or subtraction: Advanced alge513 Solving for a variable in terms of other variables using multiplication or division: Basic alge514 Solving for a variable in terms of other variables using multiplication or division: Advanced alge517 Solving for a variable in terms of other variables using addition or subtraction with division alge518 Solving for a variable inside parentheses in terms of other variables alge507 Solving for a variable in terms of other variables in a linear equation with fractions alge802 Solving a fraction word problem using a linear equation of the form Ax = B alge016 Translating a sentence into a one-step equation

B.14. M.S. MATH 2 alge671 Choosing stories that can be represented by given one-step equations alge841 Translating a sentence into a multi-step equation alge628 Writing an equation of the form Ax + B = C to solve a word problem alge618 Comparing arithmetic and algebraic solutions to a word problem alge672 Choosing stories that can be represented by given two-step equations alge173 Solving a decimal word problem using a linear equation of the form Ax + B = C alge629 Writing an equation of the form A(x + B) = C to solve a word problem alge014 Solving a word problem with two unknowns using a linear equation alge673 Writing an equation to represent a real-world problem: Variable on both sides alge674 Writing and solving a real-world problem given an equation with the variable on both sides alge219 Solving a decimal word problem using a linear equation with the variable on both sides alge704 Solving a fraction word problem using a linear equation with the variable on both sides alge792 Solving a word problem with three unknowns using a linear equation alge842 Solving a word problem involving consecutive integers alge794 Solving a value mixture problem using a linear equation alge795 Solving a percent mixture problem using a linear equation alge796 Solving a distance, rate, time problem using a linear equation alge015 Translating a sentence by using an inequality symbol alge845 Translating a sentence into a one-step inequality alge653 Introduction to identifying solutions to an inequality alge748 Writing an inequality for a real-world situation alge017 Graphing a linear inequality on the number line alge822 Writing an inequality given a graph on the number line alge186 Translating a sentence into a compound inequality alge166 Graphing a compound inequality on the number line alge847 Writing a compound inequality given a graph on the number line alge652 Identifying solutions to a one-step linear inequality alge848 Additive property of inequality with whole numbers alge849 Additive property of inequality with integers alge852 Additive property of inequality with signed fractions alge853 Additive property of inequality with signed decimals alge809 Multiplicative property of inequality with whole numbers alge854 Multiplicative property of inequality with integers alge964 Multiplicative property of inequality with signed fractions alge621 Solving a word problem using a one-step linear inequality alge844 Identifying solutions to a two-step linear inequality in one variable alge636 Solving a two-step linear inequality with whole numbers alge855 Solving a two-step linear inequality: Problem type 1 alge856 Solving a two-step linear inequality: Problem type 2 alge857 Solving a two-step linear inequality with a fractional coefficient alge977 Solving a linear inequality with multiple occurrences of the variable: Problem type 1 alge858 Solving a linear inequality with multiple occurrences of the variable: Problem type 2 alge859 Solving a linear inequality with multiple occurrences of the variable: Problem type 3 alge846 Translating a sentence into a multi-step inequality alge619 Solving a word problem using a two-step linear inequality and describing the solution alge623 Solving a word problem using a two-step linear inequality alge749 Solving a decimal word problem using a two-step linear inequality

Graphing, Functions, and Sequences alge278 Reading a point in quadrant 1 alge279 Plotting a point in quadrant 1 alge064 Reading a point in the coordinate plane alge067 Plotting a point in the coordinate plane alge692 Plotting a point in quadrant 1: Mixed number coordinates alge693 Plotting a point in the coordinate plane: Mixed number coordinates arith404 Naming the quadrant or axis of a point given its graph arith405 Naming the quadrant or axis of a point given its coordinates arith406 Naming the quadrant or axis of a point given the signs of its coordinates alge695 Finding distances between points that share a common coordinate: Problem type 1

305

306 APPENDIX B. PROGRAMS IN ALEKS alge696 Finding distances between points that share a common coordinate: Problem type 2 alge191 Midpoint of a line segment in the plane alge282 Function tables with two-step rules alge850 Table for a linear equation fun005 Writing a function rule given a table of ordered pairs: One-step rules fun006 Writing a function rule given a table of ordered pairs: Two-step rules alge873 Identifying solutions to a linear equation in two variables alge066 Finding a solution to a linear equation in two variables alge280 Graphing a line in quadrant 1 alge877 Graphing a linear equation of the form y = mx alge878 Graphing a line given its equation in slope-intercept form: Integer slope alge879 Graphing a line given its equation in slope-intercept form: Fractional slope alge880 Graphing a line given its equation in standard form alge198 Graphing a vertical or horizontal line alge884 Finding x- and y-intercepts given the graph of a line on a grid alge924 Finding x- and y-intercepts of a line given the equation: Basic alge210 Finding x- and y-intercepts of a line given the equation: Advanced alge197 Graphing a line given its x- and y-intercepts alge881 Graphing a line by first finding its x- and y-intercepts alge874 Identifying linear functions given ordered pairs geom358 Identifying parallel and perpendicular lines mstat007 Interpreting a line graph arith454 Making a table and plotting points given a unit rate arith501 Identifying proportional relationships in graphs: Basic arith502 Identifying proportional relationships in graphs: Advanced arith512 Finding outputs and rate of increase given the graph of a line that models a real-world situation alge699 Comparing proportional relationships given in different forms alge575 Finding slope given the graph of a line in quadrant 1 that models a real-world situation alge875 Classifying slopes given graphs of lines alge886 Finding slope given the graph of a line on a grid alge887 Finding slope given two points on the line alge885 Finding the slope of horizontal and vertical lines alge814 Using right triangles to find the slope of a line alge888 Finding the coordinate that yields a given slope alge259 Graphing a line given its slope and y-intercept alge196 Graphing a line through a given point with a given slope alge982 Identifying direct variation equations alge938 Identifying direct variation from ordered pairs and writing equations alge904 Writing a direct variation equation alge175 Word problem on direct variation alge828 Interpreting direct variation from a graph alge905 Writing an inverse variation equation alge903 Identifying direct and inverse variation equations alge902 Identifying direct and inverse variation from ordered pairs and writing equations alge176 Word problem on inverse variation alge220 Word problem on inverse proportions alge625 Identifying linear equations: Basic alge891 Rewriting a linear equation in the form Ax + By = C alge889 Finding the slope and y-intercept of a line given its equation in the form y = mx + b alge890 Finding the slope and y-intercept of a line given its equation in the form Ax + By = C alge882 Graphing a line by first finding its slope and y-intercept alge258 Writing an equation of a line given its slope and y-intercept alge892 Writing an equation and graphing a line given its slope and y-intercept alge893 Writing an equation in slope-intercept form given the slope and a point alge883 Graphing a line given its equation in point-slope form alge894 Writing an equation in point-slope form given the slope and a point alge070 Writing an equation of a line given the y-intercept and another point alge072 Writing the equation of the line through two given points alge073 Writing the equations of vertical and horizontal lines through a given point geom806 Finding slopes of lines parallel and perpendicular to a line given in slope-intercept form geom807 Finding slopes of lines parallel and perpendicular to a line given in the form Ax + By = C alge895 Identifying parallel and perpendicular lines from equations

B.14. M.S. MATH 2 geom808 Writing equations of lines parallel and perpendicular to a given line through a point alge630 Finding outputs of a one-step function that models a real-world situation: Two variable equation alge632 Finding outputs of a two-step function with decimals that models a real-world situation: Two variable equation alge633 Finding inputs and outputs of a two-step function that models a real-world situation: Two variable equation alge655 Writing and evaluating a function that models a real-world situation: Basic alge897 Writing and evaluating a function that models a real-world situation: Advanced alge654 Graphing ordered pairs and writing an equation from a table of values in context alge656 Writing an equation and drawing its graph to model a real-world situation: Basic alge701 Writing an equation and drawing its graph to model a real-world situation: Advanced alge817 Finding the initial amount and rate of change given a table for a linear function alge818 Finding the initial amount and rate of change given a graph of a linear function alge987 Comparing properties of linear functions given in different forms alge989 Interpreting the parameters of a linear function that models a real-world situation alge805 Application problem with a linear function: Finding a coordinate given the slope and a point alge806 Application problem with a linear function: Finding a coordinate given two points alge670 Identifying independent and dependent quantities from tables and graphs mstat052 Identifying independent and dependent variables from equations or real-world situations fun032 Identifying functions from relations fun010 Vertical line test fun016 Domain and range from ordered pairs fun001 Table for a linear function pcalc760 Evaluating functions: Linear and quadratic or cubic alge294 Finding outputs of a one-step function that models a real-world situation: Function notation alge295 Finding outputs of a two-step function with decimals that models a real-world situation: Function notation alge296 Finding inputs and outputs of a two-step function that models a real-world situation: Function notation alge990 Domain and range of a linear function that models a real-world situation fun026 Finding an output of a function from its graph pcalc761 Finding inputs and outputs of a function from its graph fun007 Domain and range from the graph of a discrete relation alge896 Graphing an integer function and finding its range for a given domain alge570 Graphing a function of the form f(x) = ax + b: Integer slope alge571 Graphing a function of the form f(x) = ax + b: Fractional slope alge999 Finding where a function is increasing, decreasing, or constant given the graph mstat018 Choosing a graph to fit a narrative: Basic mstat051 Choosing a graph to fit a narrative : Advanced alge913 Graphing an absolute value equation of the form y = A—x— alge900 Graphing an absolute value equation in the plane: Basic alge168 Graphing an absolute value equation in the plane: Advanced alge954 Graphing a parabola of the form y = ax2 alge955 Graphing a parabola of the form y = ax2 + c alge262 Graphing a cubic function of the form y = ax3 alge925 Finding the next terms of an arithmetic sequence with whole numbers alge933 Finding the next terms of a geometric sequence with whole numbers alge732 Finding patterns in shapes alge644 Finding the first terms of an arithmetic sequence using an explicit rule alge645 Finding the first terms of a geometric sequence using an explicit rule alge906 Finding the next terms of an arithmetic sequence with integers alge979 Identifying arithmetic sequences and finding the common difference alge931 Finding a specified term of an arithmetic sequence given the first terms pcalc085 Finding a specified term of an arithmetic sequence given the common difference and first term alge909 Writing an explicit rule for an arithmetic sequence alge907 Finding the next terms of a geometric sequence with signed numbers alge981 Identifying arithmetic and geometric sequences alge980 Identifying geometric sequences and finding the common ratio alge934 Finding a specified term of a geometric sequence given the first terms pcalc086 Finding a specified term of a geometric sequence given the common ratio and first term pcalc713 Arithmetic and geometric sequences: Identifying and writing an explicit rule alge914 Identifying solutions to a system of linear equations alge725 Graphically solving a system of linear equations

307

308 APPENDIX B. PROGRAMS IN ALEKS alge815 Introduction to using substitution to solve a linear equation alge816 Solving a system of linear equations of the form y = mx + b alge751 Solving a system of linear equations using substitution alge915 Solving a system of linear equations using elimination with addition alge076 Solving a system of linear equations using elimination with multiplication and addition alge634 Solving systems of linear equations with 0, 1, or infinitely many solutions alge263 Interpreting the graphs of two functions alge078 Solving a word problem involving a sum and another basic relationship using a system of linear equations alge919 Solving a word problem using a system of linear equations of the form Ax + By = C alge918 Solving a word problem using a system of linear equations of the form y = mx + b alge184 Solving a value mixture problem using a system of linear equations pcalc038 Addition or subtraction of matrices alge912 Identifying solutions to a linear inequality in two variables alge225 Graphing a linear inequality in the plane: Vertical or horizontal line alge720 Graphing a linear inequality in the plane: Slope-intercept form alge018 Graphing a linear inequality in the plane: Standard form alge079 Graphing a system of two linear inequalities: Basic alge921 Graphing a system of two linear inequalities: Advanced

Exponents, Polynomials, and Radicals alge686 Introduction to the product rule with positive exponents: Whole number base alge821 Understanding the product rule of exponents alge024 Introduction to the product rule of exponents alge311 Product rule with positive exponents: Univariate alge030 Product rule with positive exponents: Multivariate alge690 Introduction to the power of a power rule with positive exponents: Whole number base alge826 Understanding the power rules of exponents alge306 Introduction to the power of a power rule of exponents alge305 Introduction to the power of a product rule of exponents alge307 Power rules with positive exponents: Multivariate products alge308 Power rules with positive exponents: Multivariate quotients alge451 Simplifying a ratio of multivariate monomials: Basic alge688 Introduction to the quotient rule with positive exponents: Whole number base alge827 Introduction to the quotient rule of exponents alge452 Simplifying a ratio of univariate monomials alge026 Quotient of expressions involving exponents arith029 Ordering numbers with positive exponents arith684 Power of 10: Negative exponent arith729 Evaluating an expression with a negative exponent: Whole number base arith042 Evaluating an expression with a negative exponent: Positive fraction base arith043 Evaluating an expression with a negative exponent: Negative integer base arith024 Ordering numbers with negative exponents alge791 Rewriting an algebraic expression without a negative exponent alge687 Introduction to the product rule with negative exponents: Whole number base alge961 Introduction to the product rule with negative exponents alge689 Introduction to the quotient rule with negative exponents: Whole number base alge755 Quotient rule with negative exponents: Problem type 1 alge691 Introduction to the power of a power rule with negative exponents: Whole number base alge025 Power of a power rule with negative exponents scinot023 Introduction to scientific notation with positive exponents arith036 Scientific notation with positive exponent scinot024 Introduction to scientific notation with negative exponents arith037 Scientific notation with negative exponent scinot012 Converting between scientific notation and standard form in a real-world situation scinot025 Estimating numbers using scientific notation scinot020 Choosing metric units and converting to the base unit in scientific notation scinot021 Expressing calculator notation as scientific notation scinot008 Multiplying numbers written in scientific notation: Basic scinot009 Multiplying numbers written in scientific notation: Advanced

B.14. M.S. MATH 2 scinot019 Multiplying numbers written in decimal form or scientific notation in a real-world situation scinot010 Dividing numbers written in scientific notation: Basic scinot011 Dividing numbers written in scientific notation: Advanced scinot013 Finding the scale factor between numbers given in scientific notation in a real-world situation scinot015 Adding or subtracting numbers written in scientific notation: Same exponents, basic scinot022 Adding or subtracting numbers written in scientific notation: Same exponents, advanced scinot016 Adding or subtracting numbers written in scientific notation: Different exponents scinot017 Estimating the sum or difference of two numbers written in scientific notation alge758 Degree and leading coefficient of a univariate polynomial alge031 Degree of a multivariate polynomial alge798 Simplifying a sum or difference of two univariate polynomials alge029 Simplifying a sum or difference of three univariate polynomials alge735 Multiplying a univariate polynomial by a monomial with a positive coefficient alge033 Multiplying binomials with leading coefficients of 1 alge983 Multiplying binomials with leading coefficients greater than 1 alge765 Multiplying binomials in two variables alge764 Multiplying conjugate binomials: Univariate alge032 Squaring a binomial: Univariate alge935 Multiplication involving binomials and trinomials in one variable alge180 Multiplication involving binomials and trinomials in two variables alge737 Introduction to the LCM of two monomials alge055 Least common multiple of two monomials alge736 Introduction to the GCF of two monomials alge037 Greatest common factor of two multivariate monomials alge738 Factoring out a monomial from a polynomial: Univariate alge039 Factoring a quadratic with leading coefficient 1 alge944 Factoring a perfect square trinomial with leading coefficient 1 alge290 Factoring a difference of squares in one variable: Basic alge947 Factoring a difference of squares in one variable: Advanced alge045 Finding the roots of a quadratic equation with leading coefficient 1 arith016 Square root of a perfect square arith601 Square root of a rational perfect square alge413 Finding all square roots of a number arith760 Square roots of perfect squares with signs arith763 Using a calculator to approximate a square root arith602 Estimating a square root alge567 Using numerical methods to approximate a square root to the nearest tenth alge568 Using numerical methods to approximate a square root to the nearest hundredth arith515 Approximating the location of irrational numbers on a number line arith712 Ordering real numbers arith514 Converting a repeating decimal to a fraction arith432 Identifying true statements about rational and irrational numbers alge002 Identifying numbers as rational or irrational alge415 Introduction to simplifying a radical expression with an even exponent alge264 Square root of a perfect square monomial arith093 Simplifying the square root of a whole number less than 100 arith762 Simplifying the square root of a whole number greater than 100 alge080 Simplifying a radical expression with an even exponent arith767 Introduction to square root addition or subtraction arith032 Square root addition or subtraction arith764 Introduction to square root multiplication arith765 Square root multiplication: Basic alge962 Solving an equation of the form x2 = a using the square root property geom564 Finding side lengths of squares given an area and a perimeter alge400 Introduction to solving a radical equation alge089 Solving a radical equation that simplifies to a linear equation: One radical, basic alge542 Word problem involving radical equations: Basic arith094 Cube root of an integer alge698 Solving an equation of the form x3 = a using integers alge093 Solving an equation using the odd-root property: Problem type 1 geom565 Finding the side length of a cube given its volume alge560 Rational exponents: Unit fraction exponents and whole number bases

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310 APPENDIX B. PROGRAMS IN ALEKS alge250 Rational exponents: Non-unit fraction exponent with a whole number base alge407 Introduction to the Pythagorean Theorem geom044 Pythagorean Theorem alge408 Word problem involving the Pythagorean Theorem geom862 Using the Pythagorean Theorem repeatedly alge675 Using the Pythagorean Theorem to find distance on a grid alge132 Distance between two points in the plane

Angles, Lines, and Polygons geom151 Measuring an angle with the protractor geom152 Drawing an angle with the protractor geom303 Acute, obtuse, and right angles geom039 Finding supplementary and complementary angles geom551 Finding the complement or supplement of an angle given a figure geom552 Solving an equation involving complementary or supplementary angles geom305 Identifying supplementary and vertical angles geom553 Finding angle measures given two intersecting lines geom530 Solving equations involving vertical angles geom304 Identifying corresponding and alternate angles geom349 Naming segments, rays, and lines geom554 Finding angle measures given two parallel lines cut by a transversal geom531 Solving equations involving angles and parallel lines geom584 Establishing facts about the angles created when parallel lines are cut by a transversal geom154 Constructing the perpendicular bisector of a line segment geom158 Constructing an angle bisector geom159 Constructing congruent angles geom150 Constructing a pair of perpendicular lines geom157 Constructing a pair of parallel lines geom306 Acute, obtuse, and right triangles geom307 Scalene, isosceles, and equilateral triangles geom001 Finding an angle measure of a triangle given two angles geom860 Special right triangles geom908 Finding an angle measure for a triangle with an extended side geom812 Finding an angle measure given extended triangles geom813 Finding an angle measure given a triangle and parallel lines geom623 Finding angle measures of a triangle given angles with variables geom502 Finding angle measures of a right or isosceles triangle given angles with variables geom309 Finding an angle measure for a triangle sharing a side with another triangle geom586 Establishing facts about the interior angles of a triangle geom587 Establishing facts about the interior and exterior angles of a triangle geom543 Drawing a circle with a given radius or diameter geom544 Creating triangles from given side lengths: Problem type 1 geom634 Creating triangles from given side lengths: Problem type 2 geom844 Triangle inequality: Problem type 1 geom548 Determining if a triangle is possible based on given angle measures geom549 Determining if given measurements define a unique triangle, more than one triangle, or no triangle geom546 Drawing triangles with given conditions: Angle measures geom547 Drawing triangles with given conditions: Side lengths and angle measures geom545 Drawing triangles with given side lengths using a compass pcalc609 Sine, cosine, and tangent ratios: Numbers for side lengths pcalc600 Sine, cosine, and tangent ratios: Variables for side lengths pcalc616 Using a calculator to approximate sine, cosine, and tangent values pcalc606 Using the Pythagorean Theorem to find a trigonometric ratio pcalc607 Using a trigonometric ratio to find a side length in a right triangle pcalc610 Using trigonometry to find distances pcalc608 Using a trigonometric ratio to find an angle measure in a right triangle pcalc611 Using trigonometry to find angles of elevation or depression geom361 Naming polygons mstat042 Interpreting a Venn diagram of 2 sets

B.14. M.S. MATH 2 geom536 Drawing and identifying a polygon in the coordinate plane geom867 Identifying parallelograms, rectangles, and squares geom310 Classifying quadrilaterals geom532 Classifying parallelograms geom818 Finding the coordinates of a point to make a parallelogram geom870 Sum of the angle measures of a quadrilateral geom852 The sum of interior angle measures in a convex polygon

Transformations geom519 Identifying and naming congruent parts of congruent triangles geom520 Identifying and naming congruent triangles geom583 Finding angle measures of a triangle given two angles of a similar triangle geom585 Finding angle measures and side ratios to determine if two triangles are similar geom357 Identifying transformations geom596 Translating a point and giving its coordinates: One step geom909 Translating a point and giving its coordinates: Two steps geom597 Properties of translated figures geom598 Determining if figures are related by a translation geom330 Translating a polygon geom331 Using a translated point to find coordinates of other translated points arith408 Reflecting a point across an axis geom533 Reflecting a point across both coordinate axes geom590 Reflecting a point across an axis and giving its coordinates arith407 Coordinates of a point reflected across an axis geom560 Coordinates of a point reflected across both axes geom534 Reflecting a polygon across the x-axis or y-axis geom591 Properties of reflected figures geom592 Determining if figures are related by a reflection geom332 Reflecting a polygon over a vertical or horizontal line geom333 Finding the coordinates of three points reflected over an axis geom334 Drawing lines of symmetry geom602 Finding the coordinates of a point reflected across an axis and translated geom815 Finding an angle of rotation geom624 Identifying rotational symmetry and angles of rotation geom593 Rotating a point and giving its coordinates geom594 Properties of rotated figures geom595 Determining if figures are related by a rotation geom335 Rotating a figure about the origin geom580 Determining if figures are congruent and related by a transformation geom581 Determining if figures are congruent and related by two transformations geom606 Dilating a segment and giving the coordinates of its endpoints geom607 The effect of dilation on side length geom608 Determining if figures are related by a dilation geom636 The effect of dilation on area geom336 Dilating a figure geom582 Determining if figures are similar and related by two transformations

Perimeters, Areas, and Volumes geom618 Perimeter of a polygon involving mixed numbers and fractions geom078 Sides of polygons having the same perimeter geom221 Finding the missing length in a figure geom353 Perimeter of a piecewise rectangular figure alge615 Writing algebraic expressions for the perimeter of a figure geom817 Finding a side length given the perimeter and side lengths with variables geom217 Finding the side length of a rectangle given its perimeter or area geom561 Finding the dimensions of a rectangle given its perimeter and a relationship between sides

311

312 APPENDIX B. PROGRAMS IN ALEKS geom620 Area of a rectangle involving fractions geom619 Area of a rectangle involving mixed numbers and fractions geom350 Distinguishing between area and perimeter geom351 Areas of rectangles with the same perimeter geom869 Estimates and exact answers alge616 Writing algebraic expressions for the area of a figure geom410 Word problem involving the area of a square or a rectangle geom143 Finding the perimeter or area of a rectangle given one of these values geom340 Area of a piecewise rectangular figure geom562 Area between two rectangles geom142 Word problem involving the area between two rectangles geom501 Finding the area of a right triangle on a grid geom509 Finding the area of a right triangle or its corresponding rectangle geom801 Area of a triangle geom517 Finding the area of a trapezoid on a grid by using triangles and rectangles geom344 Area involving rectangles and triangles alge724 Finding an area in terms of variables geom022 Area of a parallelogram geom023 Area of a trapezoid geom537 Finding the perimeter or area of a rectangle in the coordinate plane geom832 Area of quadrilaterals in the coordinate plane geom603 Identifying side lengths that give right triangles geom589 Demonstrating the converse of the Pythagorean Theorem geom588 Informal proof of the Pythagorean Theorem geom347 Introduction to a circle: Diameter, radius, and chord geom343 Identifying central angles, inscribed angles, arcs, chords, and tangents of a circle geom016 Circumference of a circle geom218 Finding the radius or the diameter of a circle given its circumference geom838 Circumference ratios geom301 Perimeter involving rectangles and circles geom026 Area of a circle geom802 Circumference and area of a circle geom570 Distinguishing between the area and circumference of a circle geom302 Area involving rectangles and circles geom563 Area between two concentric circles geom036 Word problem involving the area between two concentric circles geom214 Area involving inscribed figures geom126 Area of a sector of a circle geom868 Classifying solids geom348 Vertices, edges, and faces of a solid geom830 Counting the cubes in a solid made of cubes geom816 Side views of a solid made of cubes geom550 Identifying horizontal and vertical cross sections of solids geom354 Volume of a rectangular prism made of unit cubes geom518 Volume of a solid made of cubes with unit fraction edge lengths geom535 Volume of a rectangular prism with fractional edge lengths alge617 Writing equivalent expressions for the volume of a rectangular prism geom571 Word problem involving the volume of a rectangular prism geom558 Word problem involving the rate of filling or emptying a rectangular prism geom505 Volume of a piecewise rectangular prism geom090 Volume of a triangular prism geom572 Word problem involving the volume of a triangular prism geom033 Volume of a pyramid geom637 Relating the volumes of a rectangular prism and a rectangular pyramid geom638 Relating the volumes of a triangular prism and a triangular pyramid geom035 Volume of a cylinder geom573 Word problem involving the volume of a cylinder geom092 Word problem involving the rate of filling or emptying a cylinder geom622 Volume of a cone geom086 Volume of a cone: Exact answers in terms of pi geom639 Relating the volumes of a cylinder and a cone geom575 Word problem involving the volume of a cone

B.14. M.S. MATH 2 geom841 Volume of a sphere geom574 Word problem involving the volume of a sphere geom133 Ratio of volumes geom219 Nets of solids geom031 Surface area of a cube or a rectangular prism geom632 Surface area of a rectangular prism made of unit cubes geom555 Distinguishing between surface area and volume geom556 Using a net to find the surface area of a rectangular prism geom576 Word problem involving the surface area of a rectangular prism geom345 Surface area of a piecewise rectangular prism made of unit cubes geom091 Surface area of a triangular prism geom557 Using a net to find the surface area of a triangular prism geom621 Surface area of a cylinder geom034 Surface area of a cylinder: Exact answers in terms of pi geom578 Word problem involving the surface area of a cylinder geom842 Surface area of a sphere geom338 Surface area involving prisms or cylinders geom846 Similar solids: Problem type 1 geom847 Similar solids: Problem type 2

Data Analysis and Probability mstat088 Identifying statistical questions mstat080 Choosing an appropriate method for gathering data: Problem type 1 mstat081 Choosing an appropriate method for gathering data: Problem type 2 mstat056 Interpreting a tally table mstat097 Constructing a two-way frequency table: Basic mstat098 Constructing a two-way frequency table: Advanced mstat049 Computing a percentage from a table of values mstat087 Making an inference using a two-way frequency table stat020 Calculating relative frequencies in a contingency table mstat025 Finding if a question can be answered by the data mstat037 Constructing a line plot mstat005 Constructing a bar graph for non-numerical data mstat004 Constructing a histogram for numerical data mstat024 Interpreting a bar graph mstat044 Interpreting a double bar graph mstat057 Interpreting a pictograph table mstat031 Interpreting a stem-and-leaf plot geom814 Angle measure in a circle graph mstat094 Constructing a scatter plot mstat030 Sketching the line of best fit mstat023 Scatter plots and correlation mstat068 Predictions from the line of best fit mstat067 Approximating the equation of a line of best fit and making predictions mstat093 Classifying linear and nonlinear relationships from scatter plots mstat071 Linear relationship and the correlation coefficient mstat096 Identifying outliers and clustering in scatter plots mstat003 Mode of a data set mstat055 Finding the mode and range of a data set mstat092 Finding the mode and range from a line plot mstat001 Mean of a data set mstat077 Using a model to find the mean mstat075 Understanding the mean graphically: Two bars mstat076 Understanding the mean graphically: Four or more bars mstat091 Finding the mean of a symmetric distribution mstat079 Finding sample size and comparing samples for estimating the mean mstat089 Computations involving the mean, sample size, and sum of a data set stat803 Finding the value for a new score that will yield a given mean stat802 Rejecting unreasonable claims based on average statistics

313

314 APPENDIX B. PROGRAMS IN ALEKS mstat066 Weighted mean mstat028 Mean and median of a data set mstat029 How changing a value affects the mean and median mstat095 Finding outliers in a data set mstat053 Choosing the best measure to describe data mstat078 Comparing measures of center and variation mstat027 Using back-to-back stem-and-leaf plots to compare data sets mstat072 Five-number summary and interquartile range mstat006 Constructing a box-and-whisker plot mstat073 Using box-and-whisker plots to compare data sets mstat090 Comparing sample means mstat082 Computing mean absolute deviation from a list of numerical values mstat083 Computing mean absolute deviation from a bar graph mstat084 Assessing the degree of overlap of two distributions mstat043 Interpreting a Venn diagram of 3 sets mstat041 Interpreting a tree diagram mstat040 Introduction to the counting principle mstat015 Counting principle mstat099 Determining a sample space and outcomes for a simple event mstat100 Determining a sample space and outcomes for a compound event pcalc082 Factorial expressions mstat017 Computing permutations and combinations mstat008 Word problem involving permutations mstat009 Word problem involving combinations mstat054 Classifying likelihood mstat026 Introduction to the probability of an event mstat010 Probability of an event mstat039 Understanding likelihood mstat048 Odds of an event stat106 Outcomes and event probability stat112 Probabilities involving two dice mstat011 Area as probability mstat046 Experimental and theoretical probability mstat047 Introduction to expectation mstat012 Probability of independent events mstat013 Probability of dependent events mstat085 Identifying outcomes in a random number table used to simulate a compound event mstat086 Using a random number table to simulate a compound event

## B.15

## M.S. Math 3

Whole Numbers and Integers arith124 Whole number place value: Problem type 1 arith125 Whole number place value: Problem type 2 arith066 Expanded form arith643 Expanded form with zeros arith028 Numeral translation: Problem type 1 arith060 Numeral translation: Problem type 2 arith630 Addition with carry to the hundreds place arith012 Addition of large numbers arith006 Subtraction with borrowing arith682 Subtraction with multiple regrouping steps arith637 Subtraction and regrouping with zeros arith613 Word problem with addition or subtraction of whole numbers mstat061 Describing an increasing or decreasing pattern from a table of values arith126 Multiplication as repeated addition arith004 Multiplication with carry

B.15. M.S. MATH 3 arith615 Introduction to multiplication of large numbers arith675 Understanding multiplication of a one-digit number with a larger number arith014 Multiplication of large numbers arith641 Multiples: Problem type 1 arith642 Multiples: Problem type 2 arith614 Word problem with multiplication or division of whole numbers arith130 Word problem with multiplication and addition or subtraction of whole numbers arith451 Word problem on unit rates associated with ratios of whole numbers: Whole number answers arith243 Division of whole numbers given in fractional form arith711 Division involving zero arith005 Division with carry arith901 Whole number division: 2-digit by 2-digit, no remainder arith902 Whole number division: 3-digit by 2-digit, no remainder arith616 Quotient and remainder: Problem type 1 arith617 Quotient and remainder: Problem type 2 arith631 Quotient and remainder: Problem type 3 arith650 Division involving quotients with intermediate zeros arith023 Word problem with division of whole numbers and rounding arith651 Introduction to inequalities arith652 Comparing a numerical expression with a number arith077 Ordering large numbers arith078 Rounding to tens or hundreds arith123 Rounding to hundreds or thousands arith061 Rounding to thousands, ten thousands, or hundred thousands arith101 Estimating a sum of whole numbers arith102 Estimating a difference of whole numbers arith677 Estimating a product arith678 Estimating a quotient arith692 Writing expressions using exponents arith233 Introduction to exponents arith683 Power of 10: Positive exponent arith645 Introduction to parentheses arith865 Comparing numerical expressions with parentheses arith681 Introduction to order of operations arith048 Order of operations with whole numbers arith051 Order of operations with whole numbers and grouping symbols arith693 Order of operations with whole numbers and exponents: Basic arith713 Order of operations with whole numbers and exponents: Advanced arith646 Even and odd numbers arith647 Divisibility rules for 2, 5, and 10 arith648 Divisibility rules for 3 and 9 arith056 Factors arith034 Prime numbers arith035 Prime factorization arith033 Greatest common factor of 2 numbers arith516 Greatest common factor of 3 numbers arith409 Introduction to the distributive property arith657 Understanding the distributive property arith410 Introduction to factoring with numbers arith411 Factoring a sum or difference of whole numbers arith070 Least common multiple of 2 numbers arith804 Least common multiple of 3 numbers arith418 Word problem involving the least common multiple of 2 numbers arith240 Word problem with common multiples alge286 Plotting integers on a number line arith691 Ordering integers arith415 Using a number line to compare integers arith699 Writing a signed number for a real-world situation arith400 Interpreting a table of signed numbers that relate to a real-world situation: Problem type 1 arith511 Interpreting a table of signed numbers that relate to a real-world situation: Problem type 2 arith416 Comparing signed numbers relating to a real-world situation arith402 Plotting opposite integers on a number line

315

316 APPENDIX B. PROGRAMS IN ALEKS arith403 Finding opposites of integers arith071 Absolute value of a number arith412 Finding all numbers with a given absolute value arith200 Integer addition: Problem type 1 arith108 Integer addition: Problem type 2 arith431 Identifying a sum as a point located a given distance from another point arith430 Identifying relative change when combining two quantities arith688 Integer subtraction: Problem type 1 arith689 Integer subtraction: Problem type 2 arith690 Integer subtraction: Problem type 3 arith754 Addition and subtraction with 3 integers arith755 Addition and subtraction with 4 or 5 integers arith440 Operations with absolute value: Problem type 1 arith104 Operations with absolute value: Problem type 2 alge694 Computing the distance between two integers on a number line arith433 Computing and understanding distances between integers on a number line arith701 Word problem with addition or subtraction of integers arith231 Integer multiplication and division arith800 Multiplication of 3 or 4 integers arith952 Word problem with multiplication or division of integers arith702 Exponents and integers: Problem type 1 arith703 Exponents and integers: Problem type 2 arith118 Order of operations with integers arith600 Order of operations with integers and exponents alge284 Evaluating an algebraic expression: Whole number addition or subtraction alge683 Evaluating an algebraic expression: Whole number multiplication or division alge285 Evaluating an algebraic expression: Whole numbers with two operations alge649 Evaluating a formula alge648 Evaluating an algebraic expression: Whole numbers with one operation and an exponent alge832 Evaluating an algebraic expression: Whole number operations and exponents alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction alge004 Evaluating a quadratic expression: Integers alge733 Writing a one-step expression for a real-world situation alge831 Translating a phrase into a one-step expression alge291 Translating a phrase into a two-step expression geom339 Perimeter of a polygon geom300 Perimeter of a square or a rectangle geom019 Area of a square or a rectangle geom866 Perimeter and area on a grid geom311 Volume of a rectangular prism alge650 Identifying solutions to a one-step linear equation: Problem type 1 alge651 Identifying solutions to a one-step linear equation: Problem type 2 alge009 Additive property of equality with whole numbers alge010 Additive property of equality with integers alge008 Multiplicative property of equality with whole numbers alge797 Multiplicative property of equality with integers

Fractions arith623 Introduction to fractions arith665 Understanding equivalent fractions arith212 Equivalent fractions arith666 Introduction to simplifying a fraction arith067 Simplifying a fraction alge660 Identifying equivalent signed fractions arith687 Fractional position on a number line arith667 Plotting fractions on a number line arith044 Ordering fractions with the same denominator arith091 Ordering fractions with the same numerator arith092 Using a common denominator to order fractions

B.15. M.S. MATH 3 arith079 Product of a unit fraction and a whole number arith086 Product of a fraction and a whole number: Problem type 1 arith119 Introduction to fraction multiplication arith053 Fraction multiplication arith812 Product of a fraction and a whole number: Problem type 2 arith905 Determining if a quantity is increased or decreased when multiplied by a fraction arith509 Modeling multiplication of proper fractions arith813 Multiplication of 3 fractions arith822 Signed fraction multiplication: Basic arith105 Signed fraction multiplication: Advanced arith818 Word problem involving fractions and multiplication arith095 Multi-step word problem involving fractions and multiplication arith088 The reciprocal of a number arith694 Division involving a whole number and a fraction arith022 Fraction division arith507 Fact families for multiplication and division of fractions arith508 Modeling division of a whole number by a fraction arith814 Signed fraction division arith819 Word problem involving fractions and division arith618 Addition or subtraction of fractions with the same denominator arith802 Addition or subtraction of fractions with the same denominator and simplification alge432 Introduction to adding fractions with variables and common denominators arith801 Finding the LCD of two fractions arith109 Addition or subtraction of unit fractions arith664 Introduction to addition or subtraction of fractions with different denominators arith230 Addition or subtraction of fractions with different denominators arith803 Addition and subtraction of 3 fractions with different denominators arith116 Signed fraction addition or subtraction: Basic arith864 Signed fraction subtraction involving double negation arith106 Signed fraction addition or subtraction: Advanced arith811 Addition and subtraction of 3 fractions involving signs arith805 Word problem involving addition or subtraction of fractions with different denominators arith100 Fractional part of a circle arith662 Writing a mixed number and an improper fraction for a shaded region arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction arith605 Plotting rational numbers on a number line arith215 Addition or subtraction of mixed numbers with the same denominator arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing arith806 Addition or subtraction of mixed numbers with different denominators and no carry or borrow arith808 Addition of mixed numbers with different denominators and carry arith809 Subtraction of mixed numbers with different denominators and borrowing arith807 Addition and subtraction of 3 mixed numbers with different denominators arith810 Word problem involving addition or subtraction of mixed numbers with different denominators arith815 Mixed number multiplication arith816 Multiplication of a mixed number and a whole number arith817 Division with a mixed number and a whole number arith068 Mixed number division arith820 Word problem involving multiplication or division with mixed numbers arith821 Exponents and fractions alge790 Evaluating expressions with exponents of zero arith704 Exponents and signed fractions arith859 Order of operations with fractions: Problem type 1 arith860 Order of operations with fractions: Problem type 2 arith861 Order of operations with fractions: Problem type 3 arith695 Complex fraction without variables: Problem type 1 alge808 Evaluating a linear expression: Signed fraction multiplication with addition or subtraction alge801 Additive property of equality with fractions and mixed numbers alge836 Additive property of equality with signed fractions alge646 Multiplicative property of equality with whole numbers: Fractional answers alge820 Multiplicative property of equality with fractions

317

318 alge012 Multiplicative property of equality with signed fractions

APPENDIX B. PROGRAMS IN ALEKS

Decimals arith127 Writing a decimal and a fraction for a shaded region arith110 Decimal place value: Tenths and hundredths arith220 Decimal place value: Hundreds to ten thousandths arith714 Writing a decimal number less than 1 given its name arith715 Writing a decimal number greater than 1 given its name arith716 Writing a decimal number given its name: Advanced arith829 Reading decimal position on a number line: Tenths arith830 Reading decimal position on a number line: Hundredths arith831 Understanding decimal position on a number line using zoom: Hundredths arith832 Understanding decimal position on a number line using zoom: Thousandths arith129 Introduction to ordering decimals arith608 Ordering decimals arith221 Rounding decimals arith717 Converting a decimal to a proper fraction without simplifying: Basic arith719 Converting a decimal to a proper fraction without simplifying: Advanced arith718 Converting a decimal to a proper fraction in simplest form: Basic arith087 Converting a decimal to a proper fraction in simplest form: Advanced arith721 Converting a decimal to a mixed number and an improper fraction without simplifying arith722 Converting a decimal to a mixed number and an improper fraction in simplest form: Basic arith724 Converting a decimal to a mixed number and an improper fraction in simplest form: Advanced arith624 Addition of aligned decimals arith013 Decimal addition with 3 numbers arith734 Subtraction of aligned decimals arith735 Decimal subtraction: Basic arith736 Decimal subtraction: Advanced arith737 Decimal addition and subtraction with 3 or more numbers arith131 Estimating a decimal sum or difference arith117 Signed decimal addition and subtraction arith234 Signed decimal addition and subtraction with 3 numbers geom525 Computing distances between decimals on the number line arith132 Word problem with addition or subtraction of 2 decimals arith133 Word problem with addition of 3 or 4 decimals and whole numbers arith134 Word problem with subtraction of a whole number and a decimal: Regrouping with zeros arith739 Introduction to decimal multiplication arith017 Multiplication of a decimal by a whole number arith055 Decimal multiplication: Problem type 1 arith046 Decimal multiplication: Problem type 2 arith082 Multiplication of a decimal by a power of ten arith738 Multiplication of a decimal by a power of 0.1

arith740 Multiplication of decimals that have a product less than 0.1

arith752 Estimating a product of decimals arith750 Signed decimal multiplication arith135 Word problem with multiplication of a decimal and a whole number arith137 Word problem with multiplication of two decimals arith628 Word problem with multiple decimal operations: Problem type 1 arith744 Whole number division with decimal answers arith081 Division of a decimal by a whole number arith743 Division of a decimal by a 1-digit decimal arith019 Division of a decimal by a 2-digit decimal arith083 Division of a decimal by a power of ten arith742 Division of a decimal by a power of 0.1

arith745 Decimal division with rounding arith751 Signed decimal division arith136 Word problem with division of a decimal and a whole number arith138 Word problem with division of two decimals arith629 Word problem with multiple decimal operations: Problem type 2

B.15. M.S. MATH 3 arith103 Average of two numbers arith725 Converting a fraction with a denominator of 10 or 100 to a decimal arith726 Converting a fraction with a denominator of 100 or 1000 to a decimal arith113 Converting a proper fraction with a denominator of 2, 4, or 5 to a decimal arith114 Converting a mixed number with a denominator of 2, 4, or 5 to a decimal arith727 Converting a fraction to a terminating decimal: Basic arith728 Converting a fraction to a terminating decimal: Advanced arith730 Converting a fraction to a repeating decimal: Basic arith731 Converting a fraction to a repeating decimal: Advanced arith733 Using a calculator to convert a fraction to a rounded decimal arith111 Converting a mixed number to a terminating decimal: Basic arith112 Converting a mixed number to a terminating decimal: Advanced arith732 Converting a fraction or mixed number to a rounded decimal arith609 Ordering fractions and decimals arith753 Squaring decimal bases: Products greater than 0.1

arith741 Exponents and decimals: Products less than 0.1

arith720 Order of operations with decimals: Problem type 1 arith746 Order of operations with decimals: Problem type 2 arith747 Order of operations with decimals: Problem type 3 arith748 Addition or subtraction with a decimal and a mixed number arith749 Multiplication with a decimal and a fraction alge302 Evaluating a linear expression: Signed decimal addition and subtraction alge303 Evaluating a linear expression: Signed decimal multiplication with addition or subtraction alge800 Additive property of equality with decimals alge825 Multiplicative property of equality with decimals

Ratios, Proportions, and Measurement arith823 Writing ratios using different notations arith663 Writing ratios for real-world situations arith450 Identifying statements that describe a ratio arith824 Simplifying a ratio of whole numbers: Problem type 1 arith825 Simplifying a ratio of decimals arith827 Finding a unit price arith455 Using tables to compare ratios arith828 Computing unit prices to find the better buy arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers arith505 Word problem on unit rates associated with ratios of fractions arith506 Word problem on unit rates associated with ratios of mixed numbers arith064 Solving a word problem on proportions using a unit rate alge823 Solving a one-step word problem using the formula d = rt arith452 Finding missing values in a table of equivalent ratios arith453 Using a table of equivalent ratios to find a missing quantity in a ratio arith504 Writing an equation to represent a proportional relationship alge819 Solving a proportion of the form x/a=b/c: Basic alge272 Solving a proportion of the form x/a = b/c arith610 Word problem on proportions: Problem type 1 arith611 Word problem on proportions: Problem type 2 arith045 Word problem with powers of ten arith500 Identifying proportional relationships in tables by calculating unit rates: Whole numbers arith510 Identifying proportional relationships in tables by calculating unit rates: Fractions geom359 Identifying congruent shapes on a grid geom360 Identifying similar or congruent shapes on a grid geom037 Similar polygons geom038 Similar right triangles geom337 Indirect measurement geom538 Finding lengths using scale models geom539 Finding a scale factor: Same units geom541 Using a scale drawing to find actual area geom542 Reproducing a scale drawing at a different scale

319

320 APPENDIX B. PROGRAMS IN ALEKS mstat058 Choosing a measuring tool mstat059 Choosing U.S. Customary measurement units mstat033 Measuring length to the nearest inch mstat034 Measuring length to the nearest quarter or half inch unit005 U.S. Customary unit conversion with whole number values mstat035 Conversions involving measurements in feet and inches mstat036 Adding measurements in feet and inches unit006 U.S. Customary unit conversion with whole number values: Two-step conversion unit007 U.S. Customary unit conversion with mixed number values: One-step conversion unit008 U.S. Customary unit conversion with mixed number values: Two-step conversion unit009 U.S. Customary area unit conversion with whole number values mstat060 Choosing metric measurement units mstat063 Measuring length to the nearest centimeter mstat064 Measuring length to the nearest millimeter unit001 Metric distance conversion with whole number values unit002 Metric mass or capacity conversion with whole number values unit003 Metric distance conversion with decimal values unit004 Metric conversion with decimal values: Two-step problem unit010 Metric area unit conversion with decimal values unit012 Time unit conversion with whole number values time009 Introduction to adding time time006 Adding time time011 Introduction to elapsed time time007 Elapsed time mstat062 Reading a positive temperature from a thermometer mstat038 Reading the temperature from a thermometer mstat065 Converting between temperatures in Fahrenheit and Celsius arith826 Simplifying a ratio of whole numbers: Problem type 2 alge218 Solving a word problem involving rates and time conversion unit034 Converting between metric and U.S. Customary unit systems unit035 Converting between compound units: Basic unit036 Converting between compound units: Advanced

Percents arith836 Converting a fraction with a denominator of 100 to a percentage arith837 Converting a percentage to a fraction with a denominator of 100 arith674 Finding the percentage of a grid that is shaded arith903 Representing benchmark percentages on a grid arith723 Introduction to converting a percentage to a decimal arith833 Introduction to converting a decimal to a percentage arith834 Converting between percentages and decimals arith841 Converting a mixed number percentage to a decimal arith835 Converting between percentages and decimals in a real-world situation arith090 Converting a percentage to a fraction in simplest form arith839 Converting a decimal percentage to a fraction arith838 Converting a fraction to a percentage: Denominator of 4, 5, or 10 arith904 Finding benchmark fractions and percentages for a figure arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50 arith843 Using a calculator to convert a fraction to a rounded percentage arith842 Converting a fraction to a percentage in a real-world situation arith840 Finding a percentage of a whole number arith030 Finding a percentage of a whole number without a calculator: Basic arith844 Finding a percentage of a whole number without a calculator: Advanced arith862 Applying the percent equation: Problem type 1 arith863 Applying the percent equation: Problem type 2 arith845 Finding a percentage of a total amount: Real-world situations arith846 Finding a percentage of a total amount without a calculator: Sales tax, commission, discount arith857 Estimating a tip without a calculator arith069 Writing a ratio as a percentage without a calculator

B.15. M.S. MATH 3 arith850 Finding the rate of a tax or commission arith849 Finding the total amount given the percentage of a partial amount stat805 Making a reasonable inference based on proportion statistics stat804 Interpreting a circle graph or pie chart arith856 Finding a percentage of a total amount in a circle graph stat801 Computations from a circle graph arith852 Finding the multiplier to give a final amount after a percentage increase or decrease arith851 Finding the final amount given the original amount and a percentage increase or decrease arith847 Finding the sale price given the original price and percent discount arith074 Finding the sale price without a calculator given the original price and percent discount arith848 Finding the total cost including tax or markup arith855 Finding the original amount given the result of a percentage increase or decrease arith031 Finding the original price given the sale price and percent discount arith858 Finding the percentage increase or decrease: Basic arith225 Finding the percentage increase or decrease: Advanced unit052 Finding the absolute error and percent error of a measurement arith232 Finding simple interest without a calculator arith853 Introduction to compound interest arith915 Calculating income tax arith918 Comparing discounts arith909 Examining a savings plan for college arith914 Calculations involving paying for college arith920 Comparing total costs for attending different colleges arith922 Distinguishing between fixed and variable expenses arith916 Computing percentages for categories of a budget arith919 Computations involving cost of living and hourly wage arith921 Comparing annual salaries of different occupations arith911 Calculations involving purchases with debit and credit cards arith950 Comparing costs of checking accounts arith951 Balancing a check register arith912 Reading a credit report arith913 Understanding the impact of a credit score arith917 Computing a person’s net worth arith906 Calculating and comparing monthly payments using the ALEKS loan calculator arith907 Calculating monthly payment, total payment, and interest using the ALEKS loan calculator arith908 Calculating and comparing total loan payments using the ALEKS loan calculator arith910 Calculating and comparing simple interest and compound interest

Equations and Inequalities alge647 Identifying like terms alge700 Combining like terms: Whole number coefficients alge607 Combining like terms: Integer coefficients arith655 Introduction to properties of addition alge187 Properties of addition alge666 Combining like terms: Fractional coefficients alge665 Combining like terms: Decimal coefficients alge310 Multiplying a constant and a linear monomial alge606 Distributive property: Whole number coefficients alge604 Distributive property: Integer coefficients alge610 Distributive property: Fractional coefficients alge605 Factoring a linear binomial alge612 Identifying parts in an algebraic expression alge613 Identifying equivalent algebraic expressions arith656 Introduction to properties of multiplication alge188 Properties of real numbers alge608 Using distribution and combining like terms to simplify: Univariate alge667 Identifying properties used to simplify an algebraic expression alge609 Using distribution with double negation and combining like terms to simplify: Multivariate alge293 Combining like terms in a quadratic expression

321

322 APPENDIX B. PROGRAMS IN ALEKS alge436 Adding rational expressions with different denominators and a single occurrence of a variable alge834 Identifying solutions to a linear equation in one variable: Two-step equations alge803 Using two steps to solve an equation with whole numbers alge266 Additive property of equality with a negative coefficient alge006 Solving a two-step equation with integers alge200 Solving an equation to find the value of an expression alge920 Introduction to solving an equation with parentheses alge837 Solving a multi-step equation given in fractional form alge986 Identifying properties used to solve a linear equation alge824 Solving a two-step equation with signed decimals alge838 Introduction to solving an equation with variables on the same side alge862 Solving a linear equation with several occurrences of the variable: Variables on the same side alge611 Introduction to solving a linear equation with a variable on each side alge863 Solving a linear equation with several occurrences of the variable: Variables on both sides alge011 Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution alge013 Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution alge209 Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions alge614 Clearing fractions in an equation alge420 Solving a linear equation with several occurrences of the variable: Fractional forms with monomial numerators alge208 Solving a two-step equation with signed fractions alge061 Solving a linear equation with several occurrences of the variable: Variables on both sides and fractional coefficients alge742 Solving equations with zero, one, or infinitely many solutions alge840 Solving a proportion of the form (x+a)/b = c/d alge271 Solving a proportion of the form a/(x+b) = c/x alge658 Introduction to solving a rational equation alge060 Solving a rational equation that simplifies to linear: Denominator x alge603 Introduction to solving an absolute value equation alge864 Solving an absolute value equation: Problem type 1 alge511 Solving for a variable in terms of other variables using addition or subtraction: Basic alge512 Solving for a variable in terms of other variables using addition or subtraction: Advanced alge513 Solving for a variable in terms of other variables using multiplication or division: Basic alge514 Solving for a variable in terms of other variables using multiplication or division: Advanced alge517 Solving for a variable in terms of other variables using addition or subtraction with division alge518 Solving for a variable inside parentheses in terms of other variables alge507 Solving for a variable in terms of other variables in a linear equation with fractions alge802 Solving a fraction word problem using a linear equation of the form Ax = B alge016 Translating a sentence into a one-step equation alge671 Choosing stories that can be represented by given one-step equations alge841 Translating a sentence into a multi-step equation alge628 Writing an equation of the form Ax + B = C to solve a word problem alge618 Comparing arithmetic and algebraic solutions to a word problem alge672 Choosing stories that can be represented by given two-step equations alge173 Solving a decimal word problem using a linear equation of the form Ax + B = C alge629 Writing an equation of the form A(x + B) = C to solve a word problem alge014 Solving a word problem with two unknowns using a linear equation alge673 Writing an equation to represent a real-world problem: Variable on both sides alge674 Writing and solving a real-world problem given an equation with the variable on both sides alge219 Solving a decimal word problem using a linear equation with the variable on both sides alge704 Solving a fraction word problem using a linear equation with the variable on both sides alge792 Solving a word problem with three unknowns using a linear equation alge842 Solving a word problem involving consecutive integers alge794 Solving a value mixture problem using a linear equation alge795 Solving a percent mixture problem using a linear equation alge796 Solving a distance, rate, time problem using a linear equation alge015 Translating a sentence by using an inequality symbol alge845 Translating a sentence into a one-step inequality alge653 Introduction to identifying solutions to an inequality

B.15. M.S. MATH 3 alge748 Writing an inequality for a real-world situation alge017 Graphing a linear inequality on the number line alge822 Writing an inequality given a graph on the number line alge186 Translating a sentence into a compound inequality alge166 Graphing a compound inequality on the number line alge847 Writing a compound inequality given a graph on the number line alge652 Identifying solutions to a one-step linear inequality alge848 Additive property of inequality with whole numbers alge849 Additive property of inequality with integers alge852 Additive property of inequality with signed fractions alge853 Additive property of inequality with signed decimals alge809 Multiplicative property of inequality with whole numbers alge854 Multiplicative property of inequality with integers alge964 Multiplicative property of inequality with signed fractions alge621 Solving a word problem using a one-step linear inequality alge844 Identifying solutions to a two-step linear inequality in one variable alge636 Solving a two-step linear inequality with whole numbers alge855 Solving a two-step linear inequality: Problem type 1 alge856 Solving a two-step linear inequality: Problem type 2 alge857 Solving a two-step linear inequality with a fractional coefficient alge977 Solving a linear inequality with multiple occurrences of the variable: Problem type 1 alge858 Solving a linear inequality with multiple occurrences of the variable: Problem type 2 alge859 Solving a linear inequality with multiple occurrences of the variable: Problem type 3 alge846 Translating a sentence into a multi-step inequality alge619 Solving a word problem using a two-step linear inequality and describing the solution alge623 Solving a word problem using a two-step linear inequality alge749 Solving a decimal word problem using a two-step linear inequality

Graphing, Functions, and Sequences alge278 Reading a point in quadrant 1 alge279 Plotting a point in quadrant 1 alge064 Reading a point in the coordinate plane alge067 Plotting a point in the coordinate plane alge692 Plotting a point in quadrant 1: Mixed number coordinates alge693 Plotting a point in the coordinate plane: Mixed number coordinates arith404 Naming the quadrant or axis of a point given its graph arith405 Naming the quadrant or axis of a point given its coordinates arith406 Naming the quadrant or axis of a point given the signs of its coordinates alge695 Finding distances between points that share a common coordinate: Problem type 1 alge696 Finding distances between points that share a common coordinate: Problem type 2 alge191 Midpoint of a line segment in the plane alge282 Function tables with two-step rules alge850 Table for a linear equation fun005 Writing a function rule given a table of ordered pairs: One-step rules fun006 Writing a function rule given a table of ordered pairs: Two-step rules alge873 Identifying solutions to a linear equation in two variables alge066 Finding a solution to a linear equation in two variables alge280 Graphing a line in quadrant 1 alge877 Graphing a linear equation of the form y = mx alge878 Graphing a line given its equation in slope-intercept form: Integer slope alge879 Graphing a line given its equation in slope-intercept form: Fractional slope alge880 Graphing a line given its equation in standard form alge198 Graphing a vertical or horizontal line alge884 Finding x- and y-intercepts given the graph of a line on a grid alge924 Finding x- and y-intercepts of a line given the equation: Basic alge210 Finding x- and y-intercepts of a line given the equation: Advanced alge197 Graphing a line given its x- and y-intercepts alge881 Graphing a line by first finding its x- and y-intercepts alge874 Identifying linear functions given ordered pairs

323

324 APPENDIX B. PROGRAMS IN ALEKS geom358 Identifying parallel and perpendicular lines mstat007 Interpreting a line graph arith454 Making a table and plotting points given a unit rate arith501 Identifying proportional relationships in graphs: Basic arith502 Identifying proportional relationships in graphs: Advanced arith512 Finding outputs and rate of increase given the graph of a line that models a real-world situation alge699 Comparing proportional relationships given in different forms alge575 Finding slope given the graph of a line in quadrant 1 that models a real-world situation alge875 Classifying slopes given graphs of lines alge886 Finding slope given the graph of a line on a grid alge887 Finding slope given two points on the line alge885 Finding the slope of horizontal and vertical lines alge814 Using right triangles to find the slope of a line alge888 Finding the coordinate that yields a given slope alge259 Graphing a line given its slope and y-intercept alge196 Graphing a line through a given point with a given slope alge982 Identifying direct variation equations alge938 Identifying direct variation from ordered pairs and writing equations alge904 Writing a direct variation equation alge175 Word problem on direct variation alge828 Interpreting direct variation from a graph alge905 Writing an inverse variation equation alge903 Identifying direct and inverse variation equations alge902 Identifying direct and inverse variation from ordered pairs and writing equations alge176 Word problem on inverse variation alge220 Word problem on inverse proportions alge625 Identifying linear equations: Basic alge891 Rewriting a linear equation in the form Ax + By = C alge889 Finding the slope and y-intercept of a line given its equation in the form y = mx + b alge890 Finding the slope and y-intercept of a line given its equation in the form Ax + By = C alge882 Graphing a line by first finding its slope and y-intercept alge258 Writing an equation of a line given its slope and y-intercept alge892 Writing an equation and graphing a line given its slope and y-intercept alge893 Writing an equation in slope-intercept form given the slope and a point alge883 Graphing a line given its equation in point-slope form alge894 Writing an equation in point-slope form given the slope and a point alge070 Writing an equation of a line given the y-intercept and another point alge072 Writing the equation of the line through two given points alge073 Writing the equations of vertical and horizontal lines through a given point geom806 Finding slopes of lines parallel and perpendicular to a line given in slope-intercept form geom807 Finding slopes of lines parallel and perpendicular to a line given in the form Ax + By = C alge895 Identifying parallel and perpendicular lines from equations geom808 Writing equations of lines parallel and perpendicular to a given line through a point alge630 Finding outputs of a one-step function that models a real-world situation: Two variable equation alge632 Finding outputs of a two-step function with decimals that models a real-world situation: Two variable equation alge633 Finding inputs and outputs of a two-step function that models a real-world situation: Two variable equation alge655 Writing and evaluating a function that models a real-world situation: Basic alge897 Writing and evaluating a function that models a real-world situation: Advanced alge654 Graphing ordered pairs and writing an equation from a table of values in context alge656 Writing an equation and drawing its graph to model a real-world situation: Basic alge701 Writing an equation and drawing its graph to model a real-world situation: Advanced alge817 Finding the initial amount and rate of change given a table for a linear function alge818 Finding the initial amount and rate of change given a graph of a linear function alge987 Comparing properties of linear functions given in different forms alge989 Interpreting the parameters of a linear function that models a real-world situation alge805 Application problem with a linear function: Finding a coordinate given the slope and a point alge806 Application problem with a linear function: Finding a coordinate given two points alge670 Identifying independent and dependent quantities from tables and graphs mstat052 Identifying independent and dependent variables from equations or real-world situations fun032 Identifying functions from relations

B.15. M.S. MATH 3 fun010 Vertical line test fun016 Domain and range from ordered pairs fun001 Table for a linear function pcalc760 Evaluating functions: Linear and quadratic or cubic alge294 Finding outputs of a one-step function that models a real-world situation: Function notation alge295 Finding outputs of a two-step function with decimals that models a real-world situation: Function notation alge296 Finding inputs and outputs of a two-step function that models a real-world situation: Function notation alge990 Domain and range of a linear function that models a real-world situation fun026 Finding an output of a function from its graph pcalc761 Finding inputs and outputs of a function from its graph fun007 Domain and range from the graph of a discrete relation alge896 Graphing an integer function and finding its range for a given domain alge570 Graphing a function of the form f(x) = ax + b: Integer slope alge571 Graphing a function of the form f(x) = ax + b: Fractional slope alge999 Finding where a function is increasing, decreasing, or constant given the graph mstat018 Choosing a graph to fit a narrative: Basic mstat051 Choosing a graph to fit a narrative : Advanced alge913 Graphing an absolute value equation of the form y = A—x— alge900 Graphing an absolute value equation in the plane: Basic alge168 Graphing an absolute value equation in the plane: Advanced alge954 Graphing a parabola of the form y = ax2 alge955 Graphing a parabola of the form y = ax2 + c alge262 Graphing a cubic function of the form y = ax3 alge925 Finding the next terms of an arithmetic sequence with whole numbers alge933 Finding the next terms of a geometric sequence with whole numbers alge732 Finding patterns in shapes alge644 Finding the first terms of an arithmetic sequence using an explicit rule alge645 Finding the first terms of a geometric sequence using an explicit rule alge906 Finding the next terms of an arithmetic sequence with integers alge979 Identifying arithmetic sequences and finding the common difference alge931 Finding a specified term of an arithmetic sequence given the first terms pcalc085 Finding a specified term of an arithmetic sequence given the common difference and first term alge909 Writing an explicit rule for an arithmetic sequence alge907 Finding the next terms of a geometric sequence with signed numbers alge981 Identifying arithmetic and geometric sequences alge980 Identifying geometric sequences and finding the common ratio alge934 Finding a specified term of a geometric sequence given the first terms pcalc086 Finding a specified term of a geometric sequence given the common ratio and first term pcalc713 Arithmetic and geometric sequences: Identifying and writing an explicit rule alge914 Identifying solutions to a system of linear equations alge725 Graphically solving a system of linear equations alge815 Introduction to using substitution to solve a linear equation alge816 Solving a system of linear equations of the form y = mx + b alge751 Solving a system of linear equations using substitution alge915 Solving a system of linear equations using elimination with addition alge076 Solving a system of linear equations using elimination with multiplication and addition alge634 Solving systems of linear equations with 0, 1, or infinitely many solutions alge263 Interpreting the graphs of two functions alge078 Solving a word problem involving a sum and another basic relationship using a system of linear equations alge919 Solving a word problem using a system of linear equations of the form Ax + By = C alge918 Solving a word problem using a system of linear equations of the form y = mx + b alge184 Solving a value mixture problem using a system of linear equations pcalc038 Addition or subtraction of matrices alge912 Identifying solutions to a linear inequality in two variables alge225 Graphing a linear inequality in the plane: Vertical or horizontal line alge720 Graphing a linear inequality in the plane: Slope-intercept form alge018 Graphing a linear inequality in the plane: Standard form alge079 Graphing a system of two linear inequalities: Basic alge921 Graphing a system of two linear inequalities: Advanced

325

326 APPENDIX B. PROGRAMS IN ALEKS

Exponents, Polynomials, and Radicals alge686 Introduction to the product rule with positive exponents: Whole number base alge821 Understanding the product rule of exponents alge024 Introduction to the product rule of exponents alge311 Product rule with positive exponents: Univariate alge030 Product rule with positive exponents: Multivariate alge690 Introduction to the power of a power rule with positive exponents: Whole number base alge826 Understanding the power rules of exponents alge306 Introduction to the power of a power rule of exponents alge305 Introduction to the power of a product rule of exponents alge307 Power rules with positive exponents: Multivariate products alge308 Power rules with positive exponents: Multivariate quotients alge451 Simplifying a ratio of multivariate monomials: Basic alge688 Introduction to the quotient rule with positive exponents: Whole number base alge827 Introduction to the quotient rule of exponents alge452 Simplifying a ratio of univariate monomials alge026 Quotient of expressions involving exponents arith029 Ordering numbers with positive exponents arith684 Power of 10: Negative exponent arith729 Evaluating an expression with a negative exponent: Whole number base arith042 Evaluating an expression with a negative exponent: Positive fraction base arith043 Evaluating an expression with a negative exponent: Negative integer base arith024 Ordering numbers with negative exponents alge791 Rewriting an algebraic expression without a negative exponent alge687 Introduction to the product rule with negative exponents: Whole number base alge961 Introduction to the product rule with negative exponents alge689 Introduction to the quotient rule with negative exponents: Whole number base alge755 Quotient rule with negative exponents: Problem type 1 alge691 Introduction to the power of a power rule with negative exponents: Whole number base alge025 Power of a power rule with negative exponents scinot023 Introduction to scientific notation with positive exponents arith036 Scientific notation with positive exponent scinot024 Introduction to scientific notation with negative exponents arith037 Scientific notation with negative exponent scinot012 Converting between scientific notation and standard form in a real-world situation scinot025 Estimating numbers using scientific notation scinot020 Choosing metric units and converting to the base unit in scientific notation scinot021 Expressing calculator notation as scientific notation scinot008 Multiplying numbers written in scientific notation: Basic scinot009 Multiplying numbers written in scientific notation: Advanced scinot019 Multiplying numbers written in decimal form or scientific notation in a real-world situation scinot010 Dividing numbers written in scientific notation: Basic scinot011 Dividing numbers written in scientific notation: Advanced scinot013 Finding the scale factor between numbers given in scientific notation in a real-world situation scinot015 Adding or subtracting numbers written in scientific notation: Same exponents, basic scinot022 Adding or subtracting numbers written in scientific notation: Same exponents, advanced scinot016 Adding or subtracting numbers written in scientific notation: Different exponents scinot017 Estimating the sum or difference of two numbers written in scientific notation alge758 Degree and leading coefficient of a univariate polynomial alge031 Degree of a multivariate polynomial alge798 Simplifying a sum or difference of two univariate polynomials alge029 Simplifying a sum or difference of three univariate polynomials alge735 Multiplying a univariate polynomial by a monomial with a positive coefficient alge033 Multiplying binomials with leading coefficients of 1 alge983 Multiplying binomials with leading coefficients greater than 1 alge765 Multiplying binomials in two variables alge764 Multiplying conjugate binomials: Univariate alge032 Squaring a binomial: Univariate alge935 Multiplication involving binomials and trinomials in one variable alge180 Multiplication involving binomials and trinomials in two variables alge737 Introduction to the LCM of two monomials

B.15. M.S. MATH 3 alge055 Least common multiple of two monomials alge736 Introduction to the GCF of two monomials alge037 Greatest common factor of two multivariate monomials alge738 Factoring out a monomial from a polynomial: Univariate alge039 Factoring a quadratic with leading coefficient 1 alge944 Factoring a perfect square trinomial with leading coefficient 1 alge290 Factoring a difference of squares in one variable: Basic alge947 Factoring a difference of squares in one variable: Advanced alge045 Finding the roots of a quadratic equation with leading coefficient 1 arith016 Square root of a perfect square arith601 Square root of a rational perfect square alge413 Finding all square roots of a number arith760 Square roots of perfect squares with signs arith763 Using a calculator to approximate a square root arith602 Estimating a square root alge567 Using numerical methods to approximate a square root to the nearest tenth alge568 Using numerical methods to approximate a square root to the nearest hundredth arith515 Approximating the location of irrational numbers on a number line arith712 Ordering real numbers alge001 Identifying numbers as integers or non-integers arith513 Identifying rational decimal numbers arith514 Converting a repeating decimal to a fraction arith432 Identifying true statements about rational and irrational numbers alge002 Identifying numbers as rational or irrational alge415 Introduction to simplifying a radical expression with an even exponent alge264 Square root of a perfect square monomial arith093 Simplifying the square root of a whole number less than 100 arith762 Simplifying the square root of a whole number greater than 100 alge080 Simplifying a radical expression with an even exponent arith767 Introduction to square root addition or subtraction arith032 Square root addition or subtraction arith764 Introduction to square root multiplication arith765 Square root multiplication: Basic alge962 Solving an equation of the form x2 = a using the square root property geom564 Finding side lengths of squares given an area and a perimeter alge400 Introduction to solving a radical equation alge089 Solving a radical equation that simplifies to a linear equation: One radical, basic alge542 Word problem involving radical equations: Basic arith094 Cube root of an integer alge698 Solving an equation of the form x3 = a using integers alge093 Solving an equation using the odd-root property: Problem type 1 geom565 Finding the side length of a cube given its volume alge560 Rational exponents: Unit fraction exponents and whole number bases alge250 Rational exponents: Non-unit fraction exponent with a whole number base alge407 Introduction to the Pythagorean Theorem geom044 Pythagorean Theorem alge408 Word problem involving the Pythagorean Theorem geom862 Using the Pythagorean Theorem repeatedly alge675 Using the Pythagorean Theorem to find distance on a grid alge132 Distance between two points in the plane

Angles, Lines, and Polygons geom151 Measuring an angle with the protractor geom152 Drawing an angle with the protractor geom303 Acute, obtuse, and right angles geom039 Finding supplementary and complementary angles geom551 Finding the complement or supplement of an angle given a figure geom552 Solving an equation involving complementary or supplementary angles geom305 Identifying supplementary and vertical angles

327

328 APPENDIX B. PROGRAMS IN ALEKS geom553 Finding angle measures given two intersecting lines geom530 Solving equations involving vertical angles geom304 Identifying corresponding and alternate angles geom349 Naming segments, rays, and lines geom554 Finding angle measures given two parallel lines cut by a transversal geom531 Solving equations involving angles and parallel lines geom584 Establishing facts about the angles created when parallel lines are cut by a transversal geom154 Constructing the perpendicular bisector of a line segment geom158 Constructing an angle bisector geom159 Constructing congruent angles geom150 Constructing a pair of perpendicular lines geom157 Constructing a pair of parallel lines geom306 Acute, obtuse, and right triangles geom307 Scalene, isosceles, and equilateral triangles geom001 Finding an angle measure of a triangle given two angles geom860 Special right triangles geom908 Finding an angle measure for a triangle with an extended side geom812 Finding an angle measure given extended triangles geom813 Finding an angle measure given a triangle and parallel lines geom623 Finding angle measures of a triangle given angles with variables geom502 Finding angle measures of a right or isosceles triangle given angles with variables geom309 Finding an angle measure for a triangle sharing a side with another triangle geom586 Establishing facts about the interior angles of a triangle geom587 Establishing facts about the interior and exterior angles of a triangle geom543 Drawing a circle with a given radius or diameter geom544 Creating triangles from given side lengths: Problem type 1 geom634 Creating triangles from given side lengths: Problem type 2 geom844 Triangle inequality: Problem type 1 geom548 Determining if a triangle is possible based on given angle measures geom549 Determining if given measurements define a unique triangle, more than one triangle, or no triangle geom546 Drawing triangles with given conditions: Angle measures geom547 Drawing triangles with given conditions: Side lengths and angle measures geom545 Drawing triangles with given side lengths using a compass pcalc609 Sine, cosine, and tangent ratios: Numbers for side lengths pcalc600 Sine, cosine, and tangent ratios: Variables for side lengths pcalc616 Using a calculator to approximate sine, cosine, and tangent values pcalc606 Using the Pythagorean Theorem to find a trigonometric ratio pcalc607 Using a trigonometric ratio to find a side length in a right triangle pcalc610 Using trigonometry to find distances pcalc608 Using a trigonometric ratio to find an angle measure in a right triangle pcalc611 Using trigonometry to find angles of elevation or depression geom361 Naming polygons mstat042 Interpreting a Venn diagram of 2 sets geom536 Drawing and identifying a polygon in the coordinate plane geom867 Identifying parallelograms, rectangles, and squares geom310 Classifying quadrilaterals geom532 Classifying parallelograms geom818 Finding the coordinates of a point to make a parallelogram geom870 Sum of the angle measures of a quadrilateral geom852 The sum of interior angle measures in a convex polygon

Transformations geom519 Identifying and naming congruent parts of congruent triangles geom520 Identifying and naming congruent triangles geom583 Finding angle measures of a triangle given two angles of a similar triangle geom585 Finding angle measures and side ratios to determine if two triangles are similar geom357 Identifying transformations geom596 Translating a point and giving its coordinates: One step geom909 Translating a point and giving its coordinates: Two steps

B.15. M.S. MATH 3 geom597 Properties of translated figures geom598 Determining if figures are related by a translation geom330 Translating a polygon geom331 Using a translated point to find coordinates of other translated points arith408 Reflecting a point across an axis geom533 Reflecting a point across both coordinate axes geom590 Reflecting a point across an axis and giving its coordinates arith407 Coordinates of a point reflected across an axis geom560 Coordinates of a point reflected across both axes geom534 Reflecting a polygon across the x-axis or y-axis geom591 Properties of reflected figures geom592 Determining if figures are related by a reflection geom332 Reflecting a polygon over a vertical or horizontal line geom333 Finding the coordinates of three points reflected over an axis geom334 Drawing lines of symmetry geom602 Finding the coordinates of a point reflected across an axis and translated geom815 Finding an angle of rotation geom624 Identifying rotational symmetry and angles of rotation geom593 Rotating a point and giving its coordinates geom594 Properties of rotated figures geom595 Determining if figures are related by a rotation geom335 Rotating a figure about the origin geom580 Determining if figures are congruent and related by a transformation geom581 Determining if figures are congruent and related by two transformations geom606 Dilating a segment and giving the coordinates of its endpoints geom607 The effect of dilation on side length geom608 Determining if figures are related by a dilation geom636 The effect of dilation on area geom336 Dilating a figure geom582 Determining if figures are similar and related by two transformations

Perimeters, Areas, and Volumes geom618 Perimeter of a polygon involving mixed numbers and fractions geom078 Sides of polygons having the same perimeter geom221 Finding the missing length in a figure geom353 Perimeter of a piecewise rectangular figure alge615 Writing algebraic expressions for the perimeter of a figure geom817 Finding a side length given the perimeter and side lengths with variables geom217 Finding the side length of a rectangle given its perimeter or area geom561 Finding the dimensions of a rectangle given its perimeter and a relationship between sides geom620 Area of a rectangle involving fractions geom619 Area of a rectangle involving mixed numbers and fractions geom350 Distinguishing between area and perimeter geom351 Areas of rectangles with the same perimeter geom869 Estimates and exact answers alge616 Writing algebraic expressions for the area of a figure geom410 Word problem involving the area of a square or a rectangle geom143 Finding the perimeter or area of a rectangle given one of these values geom340 Area of a piecewise rectangular figure geom562 Area between two rectangles geom142 Word problem involving the area between two rectangles geom501 Finding the area of a right triangle on a grid geom509 Finding the area of a right triangle or its corresponding rectangle geom801 Area of a triangle geom517 Finding the area of a trapezoid on a grid by using triangles and rectangles geom344 Area involving rectangles and triangles alge724 Finding an area in terms of variables geom022 Area of a parallelogram geom023 Area of a trapezoid

329

330 APPENDIX B. PROGRAMS IN ALEKS geom537 Finding the perimeter or area of a rectangle in the coordinate plane geom832 Area of quadrilaterals in the coordinate plane geom603 Identifying side lengths that give right triangles geom589 Demonstrating the converse of the Pythagorean Theorem geom588 Informal proof of the Pythagorean Theorem geom347 Introduction to a circle: Diameter, radius, and chord geom343 Identifying central angles, inscribed angles, arcs, chords, and tangents of a circle geom016 Circumference of a circle geom218 Finding the radius or the diameter of a circle given its circumference geom838 Circumference ratios geom301 Perimeter involving rectangles and circles geom026 Area of a circle geom802 Circumference and area of a circle geom570 Distinguishing between the area and circumference of a circle geom302 Area involving rectangles and circles geom563 Area between two concentric circles geom036 Word problem involving the area between two concentric circles geom214 Area involving inscribed figures geom126 Area of a sector of a circle geom868 Classifying solids geom348 Vertices, edges, and faces of a solid geom830 Counting the cubes in a solid made of cubes geom816 Side views of a solid made of cubes geom550 Identifying horizontal and vertical cross sections of solids geom354 Volume of a rectangular prism made of unit cubes geom518 Volume of a solid made of cubes with unit fraction edge lengths geom535 Volume of a rectangular prism with fractional edge lengths alge617 Writing equivalent expressions for the volume of a rectangular prism geom571 Word problem involving the volume of a rectangular prism geom558 Word problem involving the rate of filling or emptying a rectangular prism geom505 Volume of a piecewise rectangular prism geom090 Volume of a triangular prism geom572 Word problem involving the volume of a triangular prism geom033 Volume of a pyramid geom637 Relating the volumes of a rectangular prism and a rectangular pyramid geom638 Relating the volumes of a triangular prism and a triangular pyramid geom035 Volume of a cylinder geom573 Word problem involving the volume of a cylinder geom092 Word problem involving the rate of filling or emptying a cylinder geom622 Volume of a cone geom086 Volume of a cone: Exact answers in terms of pi geom639 Relating the volumes of a cylinder and a cone geom575 Word problem involving the volume of a cone geom841 Volume of a sphere geom574 Word problem involving the volume of a sphere geom133 Ratio of volumes geom219 Nets of solids geom031 Surface area of a cube or a rectangular prism geom632 Surface area of a rectangular prism made of unit cubes geom555 Distinguishing between surface area and volume geom556 Using a net to find the surface area of a rectangular prism geom576 Word problem involving the surface area of a rectangular prism geom345 Surface area of a piecewise rectangular prism made of unit cubes geom091 Surface area of a triangular prism geom557 Using a net to find the surface area of a triangular prism geom621 Surface area of a cylinder geom034 Surface area of a cylinder: Exact answers in terms of pi geom578 Word problem involving the surface area of a cylinder geom842 Surface area of a sphere geom338 Surface area involving prisms or cylinders geom846 Similar solids: Problem type 1 geom847 Similar solids: Problem type 2

B.15. M.S. MATH 3

Data Analysis and Probability mstat088 Identifying statistical questions mstat080 Choosing an appropriate method for gathering data: Problem type 1 mstat081 Choosing an appropriate method for gathering data: Problem type 2 mstat056 Interpreting a tally table mstat097 Constructing a two-way frequency table: Basic mstat098 Constructing a two-way frequency table: Advanced mstat049 Computing a percentage from a table of values mstat087 Making an inference using a two-way frequency table stat020 Calculating relative frequencies in a contingency table mstat025 Finding if a question can be answered by the data mstat037 Constructing a line plot mstat005 Constructing a bar graph for non-numerical data mstat004 Constructing a histogram for numerical data mstat024 Interpreting a bar graph mstat044 Interpreting a double bar graph mstat057 Interpreting a pictograph table mstat031 Interpreting a stem-and-leaf plot geom814 Angle measure in a circle graph mstat094 Constructing a scatter plot mstat030 Sketching the line of best fit mstat023 Scatter plots and correlation mstat068 Predictions from the line of best fit mstat067 Approximating the equation of a line of best fit and making predictions mstat093 Classifying linear and nonlinear relationships from scatter plots mstat071 Linear relationship and the correlation coefficient mstat096 Identifying outliers and clustering in scatter plots mstat003 Mode of a data set mstat055 Finding the mode and range of a data set mstat092 Finding the mode and range from a line plot mstat001 Mean of a data set mstat077 Using a model to find the mean mstat075 Understanding the mean graphically: Two bars mstat076 Understanding the mean graphically: Four or more bars mstat091 Finding the mean of a symmetric distribution mstat079 Finding sample size and comparing samples for estimating the mean mstat089 Computations involving the mean, sample size, and sum of a data set stat803 Finding the value for a new score that will yield a given mean stat802 Rejecting unreasonable claims based on average statistics mstat066 Weighted mean mstat028 Mean and median of a data set mstat029 How changing a value affects the mean and median mstat095 Finding outliers in a data set mstat053 Choosing the best measure to describe data mstat078 Comparing measures of center and variation mstat027 Using back-to-back stem-and-leaf plots to compare data sets mstat072 Five-number summary and interquartile range mstat006 Constructing a box-and-whisker plot mstat073 Using box-and-whisker plots to compare data sets mstat090 Comparing sample means mstat082 Computing mean absolute deviation from a list of numerical values mstat083 Computing mean absolute deviation from a bar graph mstat084 Assessing the degree of overlap of two distributions mstat043 Interpreting a Venn diagram of 3 sets mstat041 Interpreting a tree diagram mstat040 Introduction to the counting principle mstat015 Counting principle mstat099 Determining a sample space and outcomes for a simple event

331

332 APPENDIX B. PROGRAMS IN ALEKS mstat100 Determining a sample space and outcomes for a compound event pcalc082 Factorial expressions mstat017 Computing permutations and combinations mstat008 Word problem involving permutations mstat009 Word problem involving combinations mstat054 Classifying likelihood mstat026 Introduction to the probability of an event mstat010 Probability of an event mstat039 Understanding likelihood mstat048 Odds of an event stat106 Outcomes and event probability stat112 Probabilities involving two dice mstat011 Area as probability mstat046 Experimental and theoretical probability mstat047 Introduction to expectation mstat012 Probability of independent events mstat013 Probability of dependent events mstat085 Identifying outcomes in a random number table used to simulate a compound event mstat086 Using a random number table to simulate a compound event

## B.16

## Pre-Algebra

Whole Numbers and Integers arith124 Whole number place value: Problem type 1 arith125 Whole number place value: Problem type 2 arith066 Expanded form arith643 Expanded form with zeros arith028 Numeral translation: Problem type 1 arith060 Numeral translation: Problem type 2 arith630 Addition with carry to the hundreds place arith012 Addition of large numbers arith006 Subtraction with borrowing arith682 Subtraction with multiple regrouping steps arith637 Subtraction and regrouping with zeros arith613 Word problem with addition or subtraction of whole numbers mstat061 Describing an increasing or decreasing pattern from a table of values arith126 Multiplication as repeated addition arith004 Multiplication with carry arith615 Introduction to multiplication of large numbers arith675 Understanding multiplication of a one-digit number with a larger number arith014 Multiplication of large numbers arith641 Multiples: Problem type 1 arith642 Multiples: Problem type 2 arith614 Word problem with multiplication or division of whole numbers arith130 Word problem with multiplication and addition or subtraction of whole numbers arith451 Word problem on unit rates associated with ratios of whole numbers: Whole number answers arith243 Division of whole numbers given in fractional form arith711 Division involving zero arith005 Division with carry arith901 Whole number division: 2-digit by 2-digit, no remainder arith902 Whole number division: 3-digit by 2-digit, no remainder arith616 Quotient and remainder: Problem type 1 arith617 Quotient and remainder: Problem type 2 arith631 Quotient and remainder: Problem type 3 arith650 Division involving quotients with intermediate zeros arith023 Word problem with division of whole numbers and rounding arith651 Introduction to inequalities

B.16. PRE-ALGEBRA arith652 Comparing a numerical expression with a number arith077 Ordering large numbers arith078 Rounding to tens or hundreds arith123 Rounding to hundreds or thousands arith061 Rounding to thousands, ten thousands, or hundred thousands arith101 Estimating a sum of whole numbers arith102 Estimating a difference of whole numbers arith677 Estimating a product arith678 Estimating a quotient arith692 Writing expressions using exponents arith233 Introduction to exponents arith683 Power of 10: Positive exponent arith645 Introduction to parentheses arith865 Comparing numerical expressions with parentheses arith681 Introduction to order of operations arith048 Order of operations with whole numbers arith051 Order of operations with whole numbers and grouping symbols arith693 Order of operations with whole numbers and exponents: Basic arith713 Order of operations with whole numbers and exponents: Advanced arith646 Even and odd numbers arith647 Divisibility rules for 2, 5, and 10 arith648 Divisibility rules for 3 and 9 arith056 Factors arith034 Prime numbers arith035 Prime factorization arith033 Greatest common factor of 2 numbers arith516 Greatest common factor of 3 numbers arith409 Introduction to the distributive property arith657 Understanding the distributive property arith410 Introduction to factoring with numbers arith411 Factoring a sum or difference of whole numbers arith070 Least common multiple of 2 numbers arith804 Least common multiple of 3 numbers arith418 Word problem involving the least common multiple of 2 numbers arith240 Word problem with common multiples alge286 Plotting integers on a number line arith691 Ordering integers arith415 Using a number line to compare integers arith699 Writing a signed number for a real-world situation arith400 Interpreting a table of signed numbers that relate to a real-world situation: Problem type 1 arith511 Interpreting a table of signed numbers that relate to a real-world situation: Problem type 2 arith416 Comparing signed numbers relating to a real-world situation arith402 Plotting opposite integers on a number line arith403 Finding opposites of integers arith071 Absolute value of a number arith412 Finding all numbers with a given absolute value arith200 Integer addition: Problem type 1 arith108 Integer addition: Problem type 2 arith431 Identifying a sum as a point located a given distance from another point arith430 Identifying relative change when combining two quantities arith688 Integer subtraction: Problem type 1 arith689 Integer subtraction: Problem type 2 arith690 Integer subtraction: Problem type 3 arith754 Addition and subtraction with 3 integers arith755 Addition and subtraction with 4 or 5 integers arith440 Operations with absolute value: Problem type 1 arith104 Operations with absolute value: Problem type 2 alge694 Computing the distance between two integers on a number line arith433 Computing and understanding distances between integers on a number line arith701 Word problem with addition or subtraction of integers arith231 Integer multiplication and division arith800 Multiplication of 3 or 4 integers

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334 APPENDIX B. PROGRAMS IN ALEKS arith952 Word problem with multiplication or division of integers arith702 Exponents and integers: Problem type 1 arith703 Exponents and integers: Problem type 2 arith118 Order of operations with integers arith600 Order of operations with integers and exponents alge284 Evaluating an algebraic expression: Whole number addition or subtraction alge683 Evaluating an algebraic expression: Whole number multiplication or division alge285 Evaluating an algebraic expression: Whole numbers with two operations alge649 Evaluating a formula alge648 Evaluating an algebraic expression: Whole numbers with one operation and an exponent alge832 Evaluating an algebraic expression: Whole number operations and exponents alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction alge004 Evaluating a quadratic expression: Integers alge733 Writing a one-step expression for a real-world situation alge831 Translating a phrase into a one-step expression alge291 Translating a phrase into a two-step expression geom339 Perimeter of a polygon geom300 Perimeter of a square or a rectangle geom019 Area of a square or a rectangle geom866 Perimeter and area on a grid geom311 Volume of a rectangular prism alge650 Identifying solutions to a one-step linear equation: Problem type 1 alge651 Identifying solutions to a one-step linear equation: Problem type 2 alge009 Additive property of equality with whole numbers alge010 Additive property of equality with integers alge008 Multiplicative property of equality with whole numbers alge797 Multiplicative property of equality with integers

Fractions arith623 Introduction to fractions arith665 Understanding equivalent fractions arith212 Equivalent fractions arith666 Introduction to simplifying a fraction arith067 Simplifying a fraction alge660 Identifying equivalent signed fractions arith687 Fractional position on a number line arith667 Plotting fractions on a number line arith044 Ordering fractions with the same denominator arith091 Ordering fractions with the same numerator arith092 Using a common denominator to order fractions arith079 Product of a unit fraction and a whole number arith086 Product of a fraction and a whole number: Problem type 1 arith119 Introduction to fraction multiplication arith053 Fraction multiplication arith812 Product of a fraction and a whole number: Problem type 2 arith905 Determining if a quantity is increased or decreased when multiplied by a fraction arith509 Modeling multiplication of proper fractions arith813 Multiplication of 3 fractions arith822 Signed fraction multiplication: Basic arith105 Signed fraction multiplication: Advanced arith818 Word problem involving fractions and multiplication arith095 Multi-step word problem involving fractions and multiplication arith088 The reciprocal of a number arith694 Division involving a whole number and a fraction arith022 Fraction division arith507 Fact families for multiplication and division of fractions arith508 Modeling division of a whole number by a fraction arith814 Signed fraction division arith819 Word problem involving fractions and division

B.16. PRE-ALGEBRA arith618 Addition or subtraction of fractions with the same denominator arith802 Addition or subtraction of fractions with the same denominator and simplification alge432 Introduction to adding fractions with variables and common denominators arith801 Finding the LCD of two fractions arith109 Addition or subtraction of unit fractions arith664 Introduction to addition or subtraction of fractions with different denominators arith230 Addition or subtraction of fractions with different denominators arith803 Addition and subtraction of 3 fractions with different denominators arith116 Signed fraction addition or subtraction: Basic arith864 Signed fraction subtraction involving double negation arith106 Signed fraction addition or subtraction: Advanced arith811 Addition and subtraction of 3 fractions involving signs arith805 Word problem involving addition or subtraction of fractions with different denominators arith100 Fractional part of a circle arith662 Writing a mixed number and an improper fraction for a shaded region arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction arith605 Plotting rational numbers on a number line arith215 Addition or subtraction of mixed numbers with the same denominator arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing arith806 Addition or subtraction of mixed numbers with different denominators and no carry or borrow arith808 Addition of mixed numbers with different denominators and carry arith809 Subtraction of mixed numbers with different denominators and borrowing arith807 Addition and subtraction of 3 mixed numbers with different denominators arith810 Word problem involving addition or subtraction of mixed numbers with different denominators arith815 Mixed number multiplication arith816 Multiplication of a mixed number and a whole number arith817 Division with a mixed number and a whole number arith068 Mixed number division arith820 Word problem involving multiplication or division with mixed numbers arith821 Exponents and fractions alge790 Evaluating expressions with exponents of zero arith704 Exponents and signed fractions arith859 Order of operations with fractions: Problem type 1 arith860 Order of operations with fractions: Problem type 2 arith861 Order of operations with fractions: Problem type 3 arith695 Complex fraction without variables: Problem type 1 alge808 Evaluating a linear expression: Signed fraction multiplication with addition or subtraction alge801 Additive property of equality with fractions and mixed numbers alge836 Additive property of equality with signed fractions alge646 Multiplicative property of equality with whole numbers: Fractional answers alge820 Multiplicative property of equality with fractions alge012 Multiplicative property of equality with signed fractions

Decimals arith127 Writing a decimal and a fraction for a shaded region arith110 Decimal place value: Tenths and hundredths arith220 Decimal place value: Hundreds to ten thousandths arith714 Writing a decimal number less than 1 given its name arith715 Writing a decimal number greater than 1 given its name arith716 Writing a decimal number given its name: Advanced arith829 Reading decimal position on a number line: Tenths arith830 Reading decimal position on a number line: Hundredths arith831 Understanding decimal position on a number line using zoom: Hundredths arith832 Understanding decimal position on a number line using zoom: Thousandths arith129 Introduction to ordering decimals arith608 Ordering decimals arith221 Rounding decimals

335

336 APPENDIX B. PROGRAMS IN ALEKS arith717 Converting a decimal to a proper fraction without simplifying: Basic arith719 Converting a decimal to a proper fraction without simplifying: Advanced arith718 Converting a decimal to a proper fraction in simplest form: Basic arith087 Converting a decimal to a proper fraction in simplest form: Advanced arith721 Converting a decimal to a mixed number and an improper fraction without simplifying arith722 Converting a decimal to a mixed number and an improper fraction in simplest form: Basic arith724 Converting a decimal to a mixed number and an improper fraction in simplest form: Advanced arith624 Addition of aligned decimals arith013 Decimal addition with 3 numbers arith734 Subtraction of aligned decimals arith735 Decimal subtraction: Basic arith736 Decimal subtraction: Advanced arith737 Decimal addition and subtraction with 3 or more numbers arith131 Estimating a decimal sum or difference arith117 Signed decimal addition and subtraction arith234 Signed decimal addition and subtraction with 3 numbers geom525 Computing distances between decimals on the number line arith132 Word problem with addition or subtraction of 2 decimals arith133 Word problem with addition of 3 or 4 decimals and whole numbers arith134 Word problem with subtraction of a whole number and a decimal: Regrouping with zeros arith739 Introduction to decimal multiplication arith017 Multiplication of a decimal by a whole number arith055 Decimal multiplication: Problem type 1 arith046 Decimal multiplication: Problem type 2 arith082 Multiplication of a decimal by a power of ten arith738 Multiplication of a decimal by a power of 0.1

arith740 Multiplication of decimals that have a product less than 0.1

arith752 Estimating a product of decimals arith750 Signed decimal multiplication arith135 Word problem with multiplication of a decimal and a whole number arith137 Word problem with multiplication of two decimals arith628 Word problem with multiple decimal operations: Problem type 1 arith744 Whole number division with decimal answers arith081 Division of a decimal by a whole number arith743 Division of a decimal by a 1-digit decimal arith019 Division of a decimal by a 2-digit decimal arith083 Division of a decimal by a power of ten arith742 Division of a decimal by a power of 0.1

arith745 Decimal division with rounding arith751 Signed decimal division arith136 Word problem with division of a decimal and a whole number arith138 Word problem with division of two decimals arith629 Word problem with multiple decimal operations: Problem type 2 arith103 Average of two numbers arith725 Converting a fraction with a denominator of 10 or 100 to a decimal arith726 Converting a fraction with a denominator of 100 or 1000 to a decimal arith113 Converting a proper fraction with a denominator of 2, 4, or 5 to a decimal arith114 Converting a mixed number with a denominator of 2, 4, or 5 to a decimal arith727 Converting a fraction to a terminating decimal: Basic arith728 Converting a fraction to a terminating decimal: Advanced arith730 Converting a fraction to a repeating decimal: Basic arith731 Converting a fraction to a repeating decimal: Advanced arith733 Using a calculator to convert a fraction to a rounded decimal arith111 Converting a mixed number to a terminating decimal: Basic arith112 Converting a mixed number to a terminating decimal: Advanced arith732 Converting a fraction or mixed number to a rounded decimal arith609 Ordering fractions and decimals arith753 Squaring decimal bases: Products greater than 0.1

arith741 Exponents and decimals: Products less than 0.1

arith720 Order of operations with decimals: Problem type 1 arith746 Order of operations with decimals: Problem type 2 arith747 Order of operations with decimals: Problem type 3

B.16. PRE-ALGEBRA arith748 Addition or subtraction with a decimal and a mixed number arith749 Multiplication with a decimal and a fraction alge302 Evaluating a linear expression: Signed decimal addition and subtraction alge303 Evaluating a linear expression: Signed decimal multiplication with addition or subtraction alge800 Additive property of equality with decimals alge825 Multiplicative property of equality with decimals

Ratios, Proportions, and Measurement arith823 Writing ratios using different notations arith663 Writing ratios for real-world situations arith450 Identifying statements that describe a ratio arith824 Simplifying a ratio of whole numbers: Problem type 1 arith825 Simplifying a ratio of decimals arith827 Finding a unit price arith455 Using tables to compare ratios arith828 Computing unit prices to find the better buy arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers arith505 Word problem on unit rates associated with ratios of fractions arith506 Word problem on unit rates associated with ratios of mixed numbers arith064 Solving a word problem on proportions using a unit rate alge823 Solving a one-step word problem using the formula d = rt arith452 Finding missing values in a table of equivalent ratios arith453 Using a table of equivalent ratios to find a missing quantity in a ratio arith504 Writing an equation to represent a proportional relationship alge819 Solving a proportion of the form x/a=b/c: Basic alge272 Solving a proportion of the form x/a = b/c arith610 Word problem on proportions: Problem type 1 arith611 Word problem on proportions: Problem type 2 arith045 Word problem with powers of ten arith500 Identifying proportional relationships in tables by calculating unit rates: Whole numbers arith510 Identifying proportional relationships in tables by calculating unit rates: Fractions geom359 Identifying congruent shapes on a grid geom360 Identifying similar or congruent shapes on a grid geom037 Similar polygons geom038 Similar right triangles geom337 Indirect measurement geom538 Finding lengths using scale models geom539 Finding a scale factor: Same units geom541 Using a scale drawing to find actual area geom542 Reproducing a scale drawing at a different scale mstat058 Choosing a measuring tool mstat059 Choosing U.S. Customary measurement units mstat033 Measuring length to the nearest inch mstat034 Measuring length to the nearest quarter or half inch unit005 U.S. Customary unit conversion with whole number values mstat035 Conversions involving measurements in feet and inches mstat036 Adding measurements in feet and inches unit006 U.S. Customary unit conversion with whole number values: Two-step conversion unit007 U.S. Customary unit conversion with mixed number values: One-step conversion unit008 U.S. Customary unit conversion with mixed number values: Two-step conversion unit009 U.S. Customary area unit conversion with whole number values mstat060 Choosing metric measurement units mstat063 Measuring length to the nearest centimeter mstat064 Measuring length to the nearest millimeter unit001 Metric distance conversion with whole number values unit002 Metric mass or capacity conversion with whole number values unit003 Metric distance conversion with decimal values unit004 Metric conversion with decimal values: Two-step problem unit010 Metric area unit conversion with decimal values

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338 APPENDIX B. PROGRAMS IN ALEKS unit012 Time unit conversion with whole number values time009 Introduction to adding time time006 Adding time time011 Introduction to elapsed time time007 Elapsed time mstat062 Reading a positive temperature from a thermometer mstat038 Reading the temperature from a thermometer mstat065 Converting between temperatures in Fahrenheit and Celsius arith826 Simplifying a ratio of whole numbers: Problem type 2 alge218 Solving a word problem involving rates and time conversion unit034 Converting between metric and U.S. Customary unit systems unit035 Converting between compound units: Basic unit036 Converting between compound units: Advanced

Percents arith836 Converting a fraction with a denominator of 100 to a percentage arith837 Converting a percentage to a fraction with a denominator of 100 arith674 Finding the percentage of a grid that is shaded arith903 Representing benchmark percentages on a grid arith723 Introduction to converting a percentage to a decimal arith833 Introduction to converting a decimal to a percentage arith834 Converting between percentages and decimals arith841 Converting a mixed number percentage to a decimal arith835 Converting between percentages and decimals in a real-world situation arith090 Converting a percentage to a fraction in simplest form arith839 Converting a decimal percentage to a fraction arith838 Converting a fraction to a percentage: Denominator of 4, 5, or 10 arith904 Finding benchmark fractions and percentages for a figure arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50 arith843 Using a calculator to convert a fraction to a rounded percentage arith842 Converting a fraction to a percentage in a real-world situation arith840 Finding a percentage of a whole number arith030 Finding a percentage of a whole number without a calculator: Basic arith844 Finding a percentage of a whole number without a calculator: Advanced arith862 Applying the percent equation: Problem type 1 arith863 Applying the percent equation: Problem type 2 arith845 Finding a percentage of a total amount: Real-world situations arith846 Finding a percentage of a total amount without a calculator: Sales tax, commission, discount arith857 Estimating a tip without a calculator arith069 Writing a ratio as a percentage without a calculator arith850 Finding the rate of a tax or commission arith849 Finding the total amount given the percentage of a partial amount stat805 Making a reasonable inference based on proportion statistics stat804 Interpreting a circle graph or pie chart arith856 Finding a percentage of a total amount in a circle graph stat801 Computations from a circle graph arith852 Finding the multiplier to give a final amount after a percentage increase or decrease arith851 Finding the final amount given the original amount and a percentage increase or decrease arith847 Finding the sale price given the original price and percent discount arith074 Finding the sale price without a calculator given the original price and percent discount arith848 Finding the total cost including tax or markup arith855 Finding the original amount given the result of a percentage increase or decrease arith031 Finding the original price given the sale price and percent discount arith858 Finding the percentage increase or decrease: Basic arith225 Finding the percentage increase or decrease: Advanced unit052 Finding the absolute error and percent error of a measurement arith232 Finding simple interest without a calculator arith853 Introduction to compound interest arith915 Calculating income tax

B.16. PRE-ALGEBRA arith918 Comparing discounts arith909 Examining a savings plan for college arith914 Calculations involving paying for college arith920 Comparing total costs for attending different colleges arith922 Distinguishing between fixed and variable expenses arith916 Computing percentages for categories of a budget arith919 Computations involving cost of living and hourly wage arith921 Comparing annual salaries of different occupations arith911 Calculations involving purchases with debit and credit cards arith950 Comparing costs of checking accounts arith951 Balancing a check register arith912 Reading a credit report arith913 Understanding the impact of a credit score arith917 Computing a person’s net worth arith906 Calculating and comparing monthly payments using the ALEKS loan calculator arith907 Calculating monthly payment, total payment, and interest using the ALEKS loan calculator arith908 Calculating and comparing total loan payments using the ALEKS loan calculator arith910 Calculating and comparing simple interest and compound interest

Equations and Inequalities alge647 Identifying like terms alge700 Combining like terms: Whole number coefficients alge607 Combining like terms: Integer coefficients arith655 Introduction to properties of addition alge187 Properties of addition alge666 Combining like terms: Fractional coefficients alge665 Combining like terms: Decimal coefficients alge310 Multiplying a constant and a linear monomial alge606 Distributive property: Whole number coefficients alge604 Distributive property: Integer coefficients alge610 Distributive property: Fractional coefficients alge605 Factoring a linear binomial alge612 Identifying parts in an algebraic expression alge613 Identifying equivalent algebraic expressions arith656 Introduction to properties of multiplication alge188 Properties of real numbers alge608 Using distribution and combining like terms to simplify: Univariate alge667 Identifying properties used to simplify an algebraic expression alge609 Using distribution with double negation and combining like terms to simplify: Multivariate alge293 Combining like terms in a quadratic expression alge436 Adding rational expressions with different denominators and a single occurrence of a variable alge834 Identifying solutions to a linear equation in one variable: Two-step equations alge803 Using two steps to solve an equation with whole numbers alge266 Additive property of equality with a negative coefficient alge006 Solving a two-step equation with integers alge200 Solving an equation to find the value of an expression alge920 Introduction to solving an equation with parentheses alge837 Solving a multi-step equation given in fractional form alge986 Identifying properties used to solve a linear equation alge824 Solving a two-step equation with signed decimals alge838 Introduction to solving an equation with variables on the same side alge862 Solving a linear equation with several occurrences of the variable: Variables on the same side alge611 Introduction to solving a linear equation with a variable on each side alge863 Solving a linear equation with several occurrences of the variable: Variables on both sides alge011 Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution alge013 Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution alge209 Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions

339

340 APPENDIX B. PROGRAMS IN ALEKS alge614 Clearing fractions in an equation alge420 Solving a linear equation with several occurrences of the variable: Fractional forms with monomial numerators alge208 Solving a two-step equation with signed fractions alge061 Solving a linear equation with several occurrences of the variable: Variables on both sides and fractional coefficients alge742 Solving equations with zero, one, or infinitely many solutions alge840 Solving a proportion of the form (x+a)/b = c/d alge271 Solving a proportion of the form a/(x+b) = c/x alge658 Introduction to solving a rational equation alge060 Solving a rational equation that simplifies to linear: Denominator x alge603 Introduction to solving an absolute value equation alge864 Solving an absolute value equation: Problem type 1 alge511 Solving for a variable in terms of other variables using addition or subtraction: Basic alge512 Solving for a variable in terms of other variables using addition or subtraction: Advanced alge513 Solving for a variable in terms of other variables using multiplication or division: Basic alge514 Solving for a variable in terms of other variables using multiplication or division: Advanced alge517 Solving for a variable in terms of other variables using addition or subtraction with division alge518 Solving for a variable inside parentheses in terms of other variables alge507 Solving for a variable in terms of other variables in a linear equation with fractions alge802 Solving a fraction word problem using a linear equation of the form Ax = B alge016 Translating a sentence into a one-step equation alge671 Choosing stories that can be represented by given one-step equations alge841 Translating a sentence into a multi-step equation alge628 Writing an equation of the form Ax + B = C to solve a word problem alge618 Comparing arithmetic and algebraic solutions to a word problem alge672 Choosing stories that can be represented by given two-step equations alge173 Solving a decimal word problem using a linear equation of the form Ax + B = C alge629 Writing an equation of the form A(x + B) = C to solve a word problem alge014 Solving a word problem with two unknowns using a linear equation alge673 Writing an equation to represent a real-world problem: Variable on both sides alge674 Writing and solving a real-world problem given an equation with the variable on both sides alge219 Solving a decimal word problem using a linear equation with the variable on both sides alge704 Solving a fraction word problem using a linear equation with the variable on both sides alge792 Solving a word problem with three unknowns using a linear equation alge842 Solving a word problem involving consecutive integers alge794 Solving a value mixture problem using a linear equation alge795 Solving a percent mixture problem using a linear equation alge796 Solving a distance, rate, time problem using a linear equation alge015 Translating a sentence by using an inequality symbol alge845 Translating a sentence into a one-step inequality alge653 Introduction to identifying solutions to an inequality alge748 Writing an inequality for a real-world situation alge017 Graphing a linear inequality on the number line alge822 Writing an inequality given a graph on the number line alge186 Translating a sentence into a compound inequality alge166 Graphing a compound inequality on the number line alge847 Writing a compound inequality given a graph on the number line alge652 Identifying solutions to a one-step linear inequality alge848 Additive property of inequality with whole numbers alge849 Additive property of inequality with integers alge852 Additive property of inequality with signed fractions alge853 Additive property of inequality with signed decimals alge809 Multiplicative property of inequality with whole numbers alge854 Multiplicative property of inequality with integers alge964 Multiplicative property of inequality with signed fractions alge621 Solving a word problem using a one-step linear inequality alge844 Identifying solutions to a two-step linear inequality in one variable alge636 Solving a two-step linear inequality with whole numbers alge855 Solving a two-step linear inequality: Problem type 1 alge856 Solving a two-step linear inequality: Problem type 2 alge857 Solving a two-step linear inequality with a fractional coefficient

B.16. PRE-ALGEBRA alge977 Solving a linear inequality with multiple occurrences of the variable: Problem type 1 alge858 Solving a linear inequality with multiple occurrences of the variable: Problem type 2 alge859 Solving a linear inequality with multiple occurrences of the variable: Problem type 3 alge846 Translating a sentence into a multi-step inequality alge619 Solving a word problem using a two-step linear inequality and describing the solution alge623 Solving a word problem using a two-step linear inequality alge749 Solving a decimal word problem using a two-step linear inequality

Graphing, Functions, and Sequences alge278 Reading a point in quadrant 1 alge279 Plotting a point in quadrant 1 alge064 Reading a point in the coordinate plane alge067 Plotting a point in the coordinate plane alge692 Plotting a point in quadrant 1: Mixed number coordinates alge693 Plotting a point in the coordinate plane: Mixed number coordinates arith404 Naming the quadrant or axis of a point given its graph arith405 Naming the quadrant or axis of a point given its coordinates arith406 Naming the quadrant or axis of a point given the signs of its coordinates alge695 Finding distances between points that share a common coordinate: Problem type 1 alge696 Finding distances between points that share a common coordinate: Problem type 2 alge191 Midpoint of a line segment in the plane alge282 Function tables with two-step rules alge850 Table for a linear equation fun005 Writing a function rule given a table of ordered pairs: One-step rules fun006 Writing a function rule given a table of ordered pairs: Two-step rules alge873 Identifying solutions to a linear equation in two variables alge066 Finding a solution to a linear equation in two variables alge280 Graphing a line in quadrant 1 alge877 Graphing a linear equation of the form y = mx alge878 Graphing a line given its equation in slope-intercept form: Integer slope alge879 Graphing a line given its equation in slope-intercept form: Fractional slope alge880 Graphing a line given its equation in standard form alge198 Graphing a vertical or horizontal line alge884 Finding x- and y-intercepts given the graph of a line on a grid alge924 Finding x- and y-intercepts of a line given the equation: Basic alge210 Finding x- and y-intercepts of a line given the equation: Advanced alge197 Graphing a line given its x- and y-intercepts alge881 Graphing a line by first finding its x- and y-intercepts alge874 Identifying linear functions given ordered pairs geom358 Identifying parallel and perpendicular lines mstat007 Interpreting a line graph arith454 Making a table and plotting points given a unit rate arith501 Identifying proportional relationships in graphs: Basic arith502 Identifying proportional relationships in graphs: Advanced arith512 Finding outputs and rate of increase given the graph of a line that models a real-world situation alge699 Comparing proportional relationships given in different forms alge575 Finding slope given the graph of a line in quadrant 1 that models a real-world situation alge875 Classifying slopes given graphs of lines alge886 Finding slope given the graph of a line on a grid alge887 Finding slope given two points on the line alge885 Finding the slope of horizontal and vertical lines alge814 Using right triangles to find the slope of a line alge888 Finding the coordinate that yields a given slope alge259 Graphing a line given its slope and y-intercept alge196 Graphing a line through a given point with a given slope alge982 Identifying direct variation equations alge938 Identifying direct variation from ordered pairs and writing equations alge904 Writing a direct variation equation alge175 Word problem on direct variation

341

342 APPENDIX B. PROGRAMS IN ALEKS alge828 Interpreting direct variation from a graph alge905 Writing an inverse variation equation alge903 Identifying direct and inverse variation equations alge902 Identifying direct and inverse variation from ordered pairs and writing equations alge176 Word problem on inverse variation alge220 Word problem on inverse proportions alge625 Identifying linear equations: Basic alge891 Rewriting a linear equation in the form Ax + By = C alge889 Finding the slope and y-intercept of a line given its equation in the form y = mx + b alge890 Finding the slope and y-intercept of a line given its equation in the form Ax + By = C alge882 Graphing a line by first finding its slope and y-intercept alge258 Writing an equation of a line given its slope and y-intercept alge892 Writing an equation and graphing a line given its slope and y-intercept alge893 Writing an equation in slope-intercept form given the slope and a point alge883 Graphing a line given its equation in point-slope form alge894 Writing an equation in point-slope form given the slope and a point alge070 Writing an equation of a line given the y-intercept and another point alge072 Writing the equation of the line through two given points alge073 Writing the equations of vertical and horizontal lines through a given point geom806 Finding slopes of lines parallel and perpendicular to a line given in slope-intercept form geom807 Finding slopes of lines parallel and perpendicular to a line given in the form Ax + By = C alge895 Identifying parallel and perpendicular lines from equations geom808 Writing equations of lines parallel and perpendicular to a given line through a point alge630 Finding outputs of a one-step function that models a real-world situation: Two variable equation alge632 Finding outputs of a two-step function with decimals that models a real-world situation: Two variable equation alge633 Finding inputs and outputs of a two-step function that models a real-world situation: Two variable equation alge655 Writing and evaluating a function that models a real-world situation: Basic alge897 Writing and evaluating a function that models a real-world situation: Advanced alge654 Graphing ordered pairs and writing an equation from a table of values in context alge656 Writing an equation and drawing its graph to model a real-world situation: Basic alge701 Writing an equation and drawing its graph to model a real-world situation: Advanced alge817 Finding the initial amount and rate of change given a table for a linear function alge818 Finding the initial amount and rate of change given a graph of a linear function alge987 Comparing properties of linear functions given in different forms alge989 Interpreting the parameters of a linear function that models a real-world situation alge805 Application problem with a linear function: Finding a coordinate given the slope and a point alge806 Application problem with a linear function: Finding a coordinate given two points alge670 Identifying independent and dependent quantities from tables and graphs mstat052 Identifying independent and dependent variables from equations or real-world situations fun032 Identifying functions from relations fun010 Vertical line test fun016 Domain and range from ordered pairs fun001 Table for a linear function pcalc760 Evaluating functions: Linear and quadratic or cubic alge294 Finding outputs of a one-step function that models a real-world situation: Function notation alge295 Finding outputs of a two-step function with decimals that models a real-world situation: Function notation alge296 Finding inputs and outputs of a two-step function that models a real-world situation: Function notation alge990 Domain and range of a linear function that models a real-world situation fun026 Finding an output of a function from its graph pcalc761 Finding inputs and outputs of a function from its graph fun007 Domain and range from the graph of a discrete relation alge896 Graphing an integer function and finding its range for a given domain alge570 Graphing a function of the form f(x) = ax + b: Integer slope alge571 Graphing a function of the form f(x) = ax + b: Fractional slope alge999 Finding where a function is increasing, decreasing, or constant given the graph mstat018 Choosing a graph to fit a narrative: Basic mstat051 Choosing a graph to fit a narrative : Advanced alge913 Graphing an absolute value equation of the form y = A—x— alge900 Graphing an absolute value equation in the plane: Basic

B.16. PRE-ALGEBRA alge168 Graphing an absolute value equation in the plane: Advanced alge954 Graphing a parabola of the form y = ax2 alge955 Graphing a parabola of the form y = ax2 + c alge262 Graphing a cubic function of the form y = ax3 alge925 Finding the next terms of an arithmetic sequence with whole numbers alge933 Finding the next terms of a geometric sequence with whole numbers alge732 Finding patterns in shapes alge644 Finding the first terms of an arithmetic sequence using an explicit rule alge645 Finding the first terms of a geometric sequence using an explicit rule alge906 Finding the next terms of an arithmetic sequence with integers alge979 Identifying arithmetic sequences and finding the common difference alge931 Finding a specified term of an arithmetic sequence given the first terms pcalc085 Finding a specified term of an arithmetic sequence given the common difference and first term alge909 Writing an explicit rule for an arithmetic sequence alge907 Finding the next terms of a geometric sequence with signed numbers alge981 Identifying arithmetic and geometric sequences alge980 Identifying geometric sequences and finding the common ratio alge934 Finding a specified term of a geometric sequence given the first terms pcalc086 Finding a specified term of a geometric sequence given the common ratio and first term pcalc713 Arithmetic and geometric sequences: Identifying and writing an explicit rule alge914 Identifying solutions to a system of linear equations alge725 Graphically solving a system of linear equations alge815 Introduction to using substitution to solve a linear equation alge816 Solving a system of linear equations of the form y = mx + b alge751 Solving a system of linear equations using substitution alge915 Solving a system of linear equations using elimination with addition alge076 Solving a system of linear equations using elimination with multiplication and addition alge634 Solving systems of linear equations with 0, 1, or infinitely many solutions alge263 Interpreting the graphs of two functions alge078 Solving a word problem involving a sum and another basic relationship using a system of linear equations alge919 Solving a word problem using a system of linear equations of the form Ax + By = C alge918 Solving a word problem using a system of linear equations of the form y = mx + b alge184 Solving a value mixture problem using a system of linear equations pcalc038 Addition or subtraction of matrices alge912 Identifying solutions to a linear inequality in two variables alge225 Graphing a linear inequality in the plane: Vertical or horizontal line alge720 Graphing a linear inequality in the plane: Slope-intercept form alge018 Graphing a linear inequality in the plane: Standard form alge079 Graphing a system of two linear inequalities: Basic alge921 Graphing a system of two linear inequalities: Advanced

343

Exponents, Polynomials, and Radicals alge686 Introduction to the product rule with positive exponents: Whole number base alge821 Understanding the product rule of exponents alge024 Introduction to the product rule of exponents alge311 Product rule with positive exponents: Univariate alge030 Product rule with positive exponents: Multivariate alge690 Introduction to the power of a power rule with positive exponents: Whole number base alge826 Understanding the power rules of exponents alge306 Introduction to the power of a power rule of exponents alge305 Introduction to the power of a product rule of exponents alge307 Power rules with positive exponents: Multivariate products alge308 Power rules with positive exponents: Multivariate quotients alge451 Simplifying a ratio of multivariate monomials: Basic alge688 Introduction to the quotient rule with positive exponents: Whole number base alge827 Introduction to the quotient rule of exponents alge452 Simplifying a ratio of univariate monomials alge026 Quotient of expressions involving exponents arith029 Ordering numbers with positive exponents

344 APPENDIX B. PROGRAMS IN ALEKS arith684 Power of 10: Negative exponent arith729 Evaluating an expression with a negative exponent: Whole number base arith042 Evaluating an expression with a negative exponent: Positive fraction base arith043 Evaluating an expression with a negative exponent: Negative integer base arith024 Ordering numbers with negative exponents alge791 Rewriting an algebraic expression without a negative exponent alge687 Introduction to the product rule with negative exponents: Whole number base alge961 Introduction to the product rule with negative exponents alge689 Introduction to the quotient rule with negative exponents: Whole number base alge755 Quotient rule with negative exponents: Problem type 1 alge691 Introduction to the power of a power rule with negative exponents: Whole number base alge025 Power of a power rule with negative exponents scinot023 Introduction to scientific notation with positive exponents arith036 Scientific notation with positive exponent scinot024 Introduction to scientific notation with negative exponents arith037 Scientific notation with negative exponent scinot012 Converting between scientific notation and standard form in a real-world situation scinot025 Estimating numbers using scientific notation scinot020 Choosing metric units and converting to the base unit in scientific notation scinot021 Expressing calculator notation as scientific notation scinot008 Multiplying numbers written in scientific notation: Basic scinot009 Multiplying numbers written in scientific notation: Advanced scinot019 Multiplying numbers written in decimal form or scientific notation in a real-world situation scinot010 Dividing numbers written in scientific notation: Basic scinot011 Dividing numbers written in scientific notation: Advanced scinot013 Finding the scale factor between numbers given in scientific notation in a real-world situation scinot015 Adding or subtracting numbers written in scientific notation: Same exponents, basic scinot022 Adding or subtracting numbers written in scientific notation: Same exponents, advanced scinot016 Adding or subtracting numbers written in scientific notation: Different exponents scinot017 Estimating the sum or difference of two numbers written in scientific notation alge758 Degree and leading coefficient of a univariate polynomial alge031 Degree of a multivariate polynomial alge798 Simplifying a sum or difference of two univariate polynomials alge029 Simplifying a sum or difference of three univariate polynomials alge735 Multiplying a univariate polynomial by a monomial with a positive coefficient alge033 Multiplying binomials with leading coefficients of 1 alge983 Multiplying binomials with leading coefficients greater than 1 alge765 Multiplying binomials in two variables alge764 Multiplying conjugate binomials: Univariate alge032 Squaring a binomial: Univariate alge935 Multiplication involving binomials and trinomials in one variable alge180 Multiplication involving binomials and trinomials in two variables alge737 Introduction to the LCM of two monomials alge055 Least common multiple of two monomials alge736 Introduction to the GCF of two monomials alge037 Greatest common factor of two multivariate monomials alge738 Factoring out a monomial from a polynomial: Univariate alge039 Factoring a quadratic with leading coefficient 1 alge944 Factoring a perfect square trinomial with leading coefficient 1 alge290 Factoring a difference of squares in one variable: Basic alge947 Factoring a difference of squares in one variable: Advanced alge045 Finding the roots of a quadratic equation with leading coefficient 1 arith016 Square root of a perfect square arith601 Square root of a rational perfect square alge413 Finding all square roots of a number arith760 Square roots of perfect squares with signs arith763 Using a calculator to approximate a square root arith602 Estimating a square root alge567 Using numerical methods to approximate a square root to the nearest tenth alge568 Using numerical methods to approximate a square root to the nearest hundredth arith515 Approximating the location of irrational numbers on a number line arith712 Ordering real numbers

B.16. PRE-ALGEBRA alge001 Identifying numbers as integers or non-integers arith513 Identifying rational decimal numbers arith514 Converting a repeating decimal to a fraction arith432 Identifying true statements about rational and irrational numbers alge002 Identifying numbers as rational or irrational alge415 Introduction to simplifying a radical expression with an even exponent alge264 Square root of a perfect square monomial arith093 Simplifying the square root of a whole number less than 100 arith762 Simplifying the square root of a whole number greater than 100 alge080 Simplifying a radical expression with an even exponent arith767 Introduction to square root addition or subtraction arith032 Square root addition or subtraction arith764 Introduction to square root multiplication arith765 Square root multiplication: Basic alge962 Solving an equation of the form x2 = a using the square root property geom564 Finding side lengths of squares given an area and a perimeter alge400 Introduction to solving a radical equation alge089 Solving a radical equation that simplifies to a linear equation: One radical, basic alge542 Word problem involving radical equations: Basic arith094 Cube root of an integer alge698 Solving an equation of the form x3 = a using integers alge093 Solving an equation using the odd-root property: Problem type 1 geom565 Finding the side length of a cube given its volume alge560 Rational exponents: Unit fraction exponents and whole number bases alge250 Rational exponents: Non-unit fraction exponent with a whole number base alge407 Introduction to the Pythagorean Theorem geom044 Pythagorean Theorem alge408 Word problem involving the Pythagorean Theorem geom862 Using the Pythagorean Theorem repeatedly alge675 Using the Pythagorean Theorem to find distance on a grid alge132 Distance between two points in the plane

Angles, Lines, and Polygons geom151 Measuring an angle with the protractor geom152 Drawing an angle with the protractor geom303 Acute, obtuse, and right angles geom039 Finding supplementary and complementary angles geom551 Finding the complement or supplement of an angle given a figure geom552 Solving an equation involving complementary or supplementary angles geom305 Identifying supplementary and vertical angles geom553 Finding angle measures given two intersecting lines geom530 Solving equations involving vertical angles geom304 Identifying corresponding and alternate angles geom349 Naming segments, rays, and lines geom554 Finding angle measures given two parallel lines cut by a transversal geom531 Solving equations involving angles and parallel lines geom584 Establishing facts about the angles created when parallel lines are cut by a transversal geom154 Constructing the perpendicular bisector of a line segment geom158 Constructing an angle bisector geom159 Constructing congruent angles geom150 Constructing a pair of perpendicular lines geom157 Constructing a pair of parallel lines geom306 Acute, obtuse, and right triangles geom307 Scalene, isosceles, and equilateral triangles geom001 Finding an angle measure of a triangle given two angles geom860 Special right triangles geom908 Finding an angle measure for a triangle with an extended side geom812 Finding an angle measure given extended triangles geom813 Finding an angle measure given a triangle and parallel lines

345

346 APPENDIX B. PROGRAMS IN ALEKS geom623 Finding angle measures of a triangle given angles with variables geom502 Finding angle measures of a right or isosceles triangle given angles with variables geom309 Finding an angle measure for a triangle sharing a side with another triangle geom586 Establishing facts about the interior angles of a triangle geom587 Establishing facts about the interior and exterior angles of a triangle geom543 Drawing a circle with a given radius or diameter geom544 Creating triangles from given side lengths: Problem type 1 geom634 Creating triangles from given side lengths: Problem type 2 geom844 Triangle inequality: Problem type 1 geom548 Determining if a triangle is possible based on given angle measures geom549 Determining if given measurements define a unique triangle, more than one triangle, or no triangle geom546 Drawing triangles with given conditions: Angle measures geom547 Drawing triangles with given conditions: Side lengths and angle measures geom545 Drawing triangles with given side lengths using a compass pcalc609 Sine, cosine, and tangent ratios: Numbers for side lengths pcalc600 Sine, cosine, and tangent ratios: Variables for side lengths pcalc616 Using a calculator to approximate sine, cosine, and tangent values pcalc606 Using the Pythagorean Theorem to find a trigonometric ratio pcalc607 Using a trigonometric ratio to find a side length in a right triangle pcalc610 Using trigonometry to find distances pcalc608 Using a trigonometric ratio to find an angle measure in a right triangle pcalc611 Using trigonometry to find angles of elevation or depression geom361 Naming polygons mstat042 Interpreting a Venn diagram of 2 sets geom536 Drawing and identifying a polygon in the coordinate plane geom867 Identifying parallelograms, rectangles, and squares geom310 Classifying quadrilaterals geom532 Classifying parallelograms geom818 Finding the coordinates of a point to make a parallelogram geom870 Sum of the angle measures of a quadrilateral geom852 The sum of interior angle measures in a convex polygon

Transformations geom519 Identifying and naming congruent parts of congruent triangles geom520 Identifying and naming congruent triangles geom583 Finding angle measures of a triangle given two angles of a similar triangle geom585 Finding angle measures and side ratios to determine if two triangles are similar geom357 Identifying transformations geom596 Translating a point and giving its coordinates: One step geom909 Translating a point and giving its coordinates: Two steps geom597 Properties of translated figures geom598 Determining if figures are related by a translation geom330 Translating a polygon geom331 Using a translated point to find coordinates of other translated points arith408 Reflecting a point across an axis geom533 Reflecting a point across both coordinate axes geom590 Reflecting a point across an axis and giving its coordinates arith407 Coordinates of a point reflected across an axis geom560 Coordinates of a point reflected across both axes geom534 Reflecting a polygon across the x-axis or y-axis geom591 Properties of reflected figures geom592 Determining if figures are related by a reflection geom332 Reflecting a polygon over a vertical or horizontal line geom333 Finding the coordinates of three points reflected over an axis geom334 Drawing lines of symmetry geom602 Finding the coordinates of a point reflected across an axis and translated geom815 Finding an angle of rotation geom624 Identifying rotational symmetry and angles of rotation geom593 Rotating a point and giving its coordinates

B.16. PRE-ALGEBRA geom594 Properties of rotated figures geom595 Determining if figures are related by a rotation geom335 Rotating a figure about the origin geom580 Determining if figures are congruent and related by a transformation geom581 Determining if figures are congruent and related by two transformations geom606 Dilating a segment and giving the coordinates of its endpoints geom607 The effect of dilation on side length geom608 Determining if figures are related by a dilation geom636 The effect of dilation on area geom336 Dilating a figure geom582 Determining if figures are similar and related by two transformations

Perimeters, Areas, and Volumes geom618 Perimeter of a polygon involving mixed numbers and fractions geom078 Sides of polygons having the same perimeter geom221 Finding the missing length in a figure geom353 Perimeter of a piecewise rectangular figure alge615 Writing algebraic expressions for the perimeter of a figure geom817 Finding a side length given the perimeter and side lengths with variables geom217 Finding the side length of a rectangle given its perimeter or area geom561 Finding the dimensions of a rectangle given its perimeter and a relationship between sides geom620 Area of a rectangle involving fractions geom619 Area of a rectangle involving mixed numbers and fractions geom350 Distinguishing between area and perimeter geom351 Areas of rectangles with the same perimeter geom869 Estimates and exact answers alge616 Writing algebraic expressions for the area of a figure geom410 Word problem involving the area of a square or a rectangle geom143 Finding the perimeter or area of a rectangle given one of these values geom340 Area of a piecewise rectangular figure geom562 Area between two rectangles geom142 Word problem involving the area between two rectangles geom501 Finding the area of a right triangle on a grid geom509 Finding the area of a right triangle or its corresponding rectangle geom801 Area of a triangle geom517 Finding the area of a trapezoid on a grid by using triangles and rectangles geom344 Area involving rectangles and triangles alge724 Finding an area in terms of variables geom022 Area of a parallelogram geom023 Area of a trapezoid geom537 Finding the perimeter or area of a rectangle in the coordinate plane geom832 Area of quadrilaterals in the coordinate plane geom603 Identifying side lengths that give right triangles geom589 Demonstrating the converse of the Pythagorean Theorem geom588 Informal proof of the Pythagorean Theorem geom347 Introduction to a circle: Diameter, radius, and chord geom343 Identifying central angles, inscribed angles, arcs, chords, and tangents of a circle geom016 Circumference of a circle geom218 Finding the radius or the diameter of a circle given its circumference geom838 Circumference ratios geom301 Perimeter involving rectangles and circles geom026 Area of a circle geom802 Circumference and area of a circle geom570 Distinguishing between the area and circumference of a circle geom302 Area involving rectangles and circles geom563 Area between two concentric circles geom036 Word problem involving the area between two concentric circles geom214 Area involving inscribed figures geom126 Area of a sector of a circle

347

348 APPENDIX B. PROGRAMS IN ALEKS geom868 Classifying solids geom348 Vertices, edges, and faces of a solid geom830 Counting the cubes in a solid made of cubes geom816 Side views of a solid made of cubes geom550 Identifying horizontal and vertical cross sections of solids geom354 Volume of a rectangular prism made of unit cubes geom518 Volume of a solid made of cubes with unit fraction edge lengths geom535 Volume of a rectangular prism with fractional edge lengths alge617 Writing equivalent expressions for the volume of a rectangular prism geom571 Word problem involving the volume of a rectangular prism geom558 Word problem involving the rate of filling or emptying a rectangular prism geom505 Volume of a piecewise rectangular prism geom090 Volume of a triangular prism geom572 Word problem involving the volume of a triangular prism geom033 Volume of a pyramid geom637 Relating the volumes of a rectangular prism and a rectangular pyramid geom638 Relating the volumes of a triangular prism and a triangular pyramid geom035 Volume of a cylinder geom573 Word problem involving the volume of a cylinder geom092 Word problem involving the rate of filling or emptying a cylinder geom622 Volume of a cone geom086 Volume of a cone: Exact answers in terms of pi geom639 Relating the volumes of a cylinder and a cone geom575 Word problem involving the volume of a cone geom841 Volume of a sphere geom574 Word problem involving the volume of a sphere geom133 Ratio of volumes geom219 Nets of solids geom031 Surface area of a cube or a rectangular prism geom632 Surface area of a rectangular prism made of unit cubes geom555 Distinguishing between surface area and volume geom556 Using a net to find the surface area of a rectangular prism geom576 Word problem involving the surface area of a rectangular prism geom345 Surface area of a piecewise rectangular prism made of unit cubes geom091 Surface area of a triangular prism geom557 Using a net to find the surface area of a triangular prism geom621 Surface area of a cylinder geom034 Surface area of a cylinder: Exact answers in terms of pi geom578 Word problem involving the surface area of a cylinder geom842 Surface area of a sphere geom338 Surface area involving prisms or cylinders geom846 Similar solids: Problem type 1 geom847 Similar solids: Problem type 2

Data Analysis and Probability mstat088 Identifying statistical questions mstat080 Choosing an appropriate method for gathering data: Problem type 1 mstat081 Choosing an appropriate method for gathering data: Problem type 2 mstat056 Interpreting a tally table mstat097 Constructing a two-way frequency table: Basic mstat098 Constructing a two-way frequency table: Advanced mstat049 Computing a percentage from a table of values mstat087 Making an inference using a two-way frequency table stat020 Calculating relative frequencies in a contingency table mstat025 Finding if a question can be answered by the data mstat037 Constructing a line plot mstat005 Constructing a bar graph for non-numerical data mstat004 Constructing a histogram for numerical data mstat024 Interpreting a bar graph

B.16. PRE-ALGEBRA mstat044 Interpreting a double bar graph mstat057 Interpreting a pictograph table mstat031 Interpreting a stem-and-leaf plot geom814 Angle measure in a circle graph mstat094 Constructing a scatter plot mstat030 Sketching the line of best fit mstat023 Scatter plots and correlation mstat068 Predictions from the line of best fit mstat067 Approximating the equation of a line of best fit and making predictions mstat093 Classifying linear and nonlinear relationships from scatter plots mstat071 Linear relationship and the correlation coefficient mstat096 Identifying outliers and clustering in scatter plots mstat003 Mode of a data set mstat055 Finding the mode and range of a data set mstat092 Finding the mode and range from a line plot mstat001 Mean of a data set mstat077 Using a model to find the mean mstat075 Understanding the mean graphically: Two bars mstat076 Understanding the mean graphically: Four or more bars mstat091 Finding the mean of a symmetric distribution mstat079 Finding sample size and comparing samples for estimating the mean mstat089 Computations involving the mean, sample size, and sum of a data set stat803 Finding the value for a new score that will yield a given mean stat802 Rejecting unreasonable claims based on average statistics mstat066 Weighted mean mstat028 Mean and median of a data set mstat029 How changing a value affects the mean and median mstat095 Finding outliers in a data set mstat053 Choosing the best measure to describe data mstat078 Comparing measures of center and variation mstat027 Using back-to-back stem-and-leaf plots to compare data sets mstat072 Five-number summary and interquartile range mstat006 Constructing a box-and-whisker plot mstat073 Using box-and-whisker plots to compare data sets mstat090 Comparing sample means mstat082 Computing mean absolute deviation from a list of numerical values mstat083 Computing mean absolute deviation from a bar graph mstat084 Assessing the degree of overlap of two distributions mstat043 Interpreting a Venn diagram of 3 sets mstat041 Interpreting a tree diagram mstat040 Introduction to the counting principle mstat015 Counting principle mstat099 Determining a sample space and outcomes for a simple event mstat100 Determining a sample space and outcomes for a compound event pcalc082 Factorial expressions mstat017 Computing permutations and combinations mstat008 Word problem involving permutations mstat009 Word problem involving combinations mstat054 Classifying likelihood mstat026 Introduction to the probability of an event mstat010 Probability of an event mstat039 Understanding likelihood mstat048 Odds of an event stat106 Outcomes and event probability stat112 Probabilities involving two dice mstat011 Area as probability mstat046 Experimental and theoretical probability mstat047 Introduction to expectation mstat012 Probability of independent events mstat013 Probability of dependent events mstat085 Identifying outcomes in a random number table used to simulate a compound event mstat086 Using a random number table to simulate a compound event

349

350 APPENDIX B. PROGRAMS IN ALEKS

## B.17

## H.S. Prep. for Algebra 1

Whole Numbers arith633 One-digit addition with carry arith635 Adding a 2-digit number and a 1-digit number with carry arith001 Addition without carry arith050 Addition with carry arith630 Addition with carry to the hundreds place arith012 Addition of large numbers arith128 Adding or subtracting 10, 100, or 1000 arith636 Subtracting a 1-digit number from a 2-digit number arith007 Subtraction without borrowing arith006 Subtraction with borrowing arith682 Subtraction with multiple regrouping steps arith637 Subtraction and regrouping with zeros arith613 Word problem with addition or subtraction of whole numbers arith126 Multiplication as repeated addition arith008 One-digit multiplication arith639 Using multiplication to find the number of squares arith679 Multiplication by 10, 100, and 1000 arith675 Understanding multiplication of a one-digit number with a larger number arith003 Multiplication without carry arith004 Multiplication with carry arith615 Introduction to multiplication of large numbers arith632 Multiplication with trailing zeros: Problem type 1 arith638 Multiplication with trailing zeros: Problem type 2 arith014 Multiplication of large numbers arith075 Division facts arith052 Division without carry arith005 Division with carry arith680 Division with trailing zeros: Problem type 1 arith649 Division with trailing zeros: Problem type 2 arith616 Quotient and remainder: Problem type 1 arith644 Word problem on quotient and remainder arith617 Quotient and remainder: Problem type 2 arith650 Division involving quotients with intermediate zeros arith614 Word problem with multiplication or division of whole numbers arith130 Word problem with multiplication and addition or subtraction of whole numbers arith124 Whole number place value: Problem type 1 arith078 Rounding to tens or hundreds arith123 Rounding to hundreds or thousands arith651 Introduction to inequalities arith077 Ordering large numbers arith645 Introduction to parentheses arith681 Introduction to order of operations arith048 Order of operations with whole numbers arith051 Order of operations with whole numbers and grouping symbols arith056 Factors arith033 Greatest common factor of 2 numbers arith641 Multiples: Problem type 1 arith642 Multiples: Problem type 2 arith070 Least common multiple of 2 numbers arith034 Prime numbers arith035 Prime factorization

B.17. H.S. PREP. FOR ALGEBRA 1

Fractions and Mixed Numbers arith623 Introduction to fractions arith665 Understanding equivalent fractions arith212 Equivalent fractions arith666 Introduction to simplifying a fraction arith067 Simplifying a fraction arith044 Ordering fractions with the same denominator arith091 Ordering fractions with the same numerator arith092 Using a common denominator to order fractions arith687 Fractional position on a number line arith667 Plotting fractions on a number line arith801 Finding the LCD of two fractions arith618 Addition or subtraction of fractions with the same denominator arith109 Addition or subtraction of unit fractions arith664 Introduction to addition or subtraction of fractions with different denominators arith230 Addition or subtraction of fractions with different denominators arith100 Fractional part of a circle arith079 Product of a unit fraction and a whole number arith119 Introduction to fraction multiplication arith086 Product of a fraction and a whole number: Problem type 1 arith053 Fraction multiplication arith088 The reciprocal of a number arith694 Division involving a whole number and a fraction arith022 Fraction division arith697 Mixed arithmetic operations with fractions arith662 Writing a mixed number and an improper fraction for a shaded region arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction arith215 Addition or subtraction of mixed numbers with the same denominator arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing arith085 Addition or subtraction of mixed numbers with different denominators arith020 Mixed number multiplication: Problem type 1 arith068 Mixed number division

Decimals and Percents arith127 Writing a decimal and a fraction for a shaded region arith110 Decimal place value: Tenths and hundredths arith220 Decimal place value: Hundreds to ten thousandths arith221 Rounding decimals arith129 Introduction to ordering decimals arith608 Ordering decimals arith670 Converting a decimal to a fraction: Basic arith671 Converting a fraction with a denominator of 10, 100, or 1000 to a decimal arith222 Converting a fraction to a terminating decimal arith624 Addition of aligned decimals arith013 Decimal addition with 3 numbers arith625 Subtraction of aligned decimals arith131 Estimating a decimal sum or difference arith626 Word problem with one decimal operation: Problem type 1 arith627 Word problem with one decimal operation: Problem type 2 arith082 Multiplication of a decimal by a power of ten arith017 Multiplication of a decimal by a whole number arith055 Decimal multiplication: Problem type 1 arith628 Word problem with multiple decimal operations: Problem type 1 arith083 Division of a decimal by a power of ten arith081 Division of a decimal by a whole number

351

352 APPENDIX B. PROGRAMS IN ALEKS arith019 Division of a decimal by a 2-digit decimal arith674 Finding the percentage of a grid that is shaded arith226 Converting between percentages and decimals arith090 Converting a percentage to a fraction in simplest form arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50 arith030 Finding a percentage of a whole number without a calculator: Basic arith686 Writing a ratio as a percentage mstat049 Computing a percentage from a table of values arith698 Applying the percent equation arith074 Finding the sale price without a calculator given the original price and percent discount arith031 Finding the original price given the sale price and percent discount arith225 Finding the percentage increase or decrease: Advanced arith232 Finding simple interest without a calculator

Signed Numbers and Variable Expressions mstat038 Reading the temperature from a thermometer alge286 Plotting integers on a number line arith699 Writing a signed number for a real-world situation arith691 Ordering integers arith071 Absolute value of a number arith200 Integer addition: Problem type 1 arith108 Integer addition: Problem type 2 arith688 Integer subtraction: Problem type 1 arith689 Integer subtraction: Problem type 2 arith690 Integer subtraction: Problem type 3 arith231 Integer multiplication and division arith800 Multiplication of 3 or 4 integers arith118 Order of operations with integers arith701 Word problem with addition or subtraction of integers alge001 Identifying numbers as integers or non-integers alge002 Identifying numbers as rational or irrational arith116 Signed fraction addition or subtraction: Basic arith106 Signed fraction addition or subtraction: Advanced arith117 Signed decimal addition and subtraction arith234 Signed decimal addition and subtraction with 3 numbers arith822 Signed fraction multiplication: Basic arith105 Signed fraction multiplication: Advanced alge606 Distributive property: Whole number coefficients alge604 Distributive property: Integer coefficients alge700 Combining like terms: Whole number coefficients alge607 Combining like terms: Integer coefficients alge293 Combining like terms in a quadratic expression alge798 Simplifying a sum or difference of two univariate polynomials alge284 Evaluating an algebraic expression: Whole number addition or subtraction alge683 Evaluating an algebraic expression: Whole number multiplication or division alge285 Evaluating an algebraic expression: Whole numbers with two operations alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction arith233 Introduction to exponents arith692 Writing expressions using exponents arith693 Order of operations with whole numbers and exponents: Basic arith683 Power of 10: Positive exponent arith036 Scientific notation with positive exponent arith684 Power of 10: Negative exponent arith037 Scientific notation with negative exponent arith702 Exponents and integers: Problem type 1 arith703 Exponents and integers: Problem type 2 arith704 Exponents and signed fractions alge004 Evaluating a quadratic expression: Integers alge821 Understanding the product rule of exponents

B.17. H.S. PREP. FOR ALGEBRA 1 alge024 Introduction to the product rule of exponents alge030 Product rule with positive exponents: Multivariate alge735 Multiplying a univariate polynomial by a monomial with a positive coefficient alge033 Multiplying binomials with leading coefficients of 1 alge032 Squaring a binomial: Univariate alge826 Understanding the power rules of exponents alge754 Introduction to the power rules of exponents alge827 Introduction to the quotient rule of exponents alge026 Quotient of expressions involving exponents arith016 Square root of a perfect square

Equations, Inequalities, and Functions arith655 Introduction to properties of addition arith656 Introduction to properties of multiplication arith657 Understanding the distributive property alge009 Additive property of equality with whole numbers alge800 Additive property of equality with decimals alge010 Additive property of equality with integers alge813 Solving simple equations with multiplication or division alge008 Multiplicative property of equality with whole numbers alge820 Multiplicative property of equality with fractions alge825 Multiplicative property of equality with decimals alge797 Multiplicative property of equality with integers alge012 Multiplicative property of equality with signed fractions alge810 Introduction to algebraic symbol manipulation alge272 Solving a proportion of the form x/a = b/c alge266 Additive property of equality with a negative coefficient alge803 Using two steps to solve an equation with whole numbers alge006 Solving a two-step equation with integers alge824 Solving a two-step equation with signed decimals alge011 Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution alge013 Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution alge733 Writing a one-step expression for a real-world situation alge602 Writing a one-step variable expression for a real-world situation alge016 Translating a sentence into a one-step equation alge291 Translating a phrase into a two-step expression alge802 Solving a fraction word problem using a linear equation of the form Ax = B alge014 Solving a word problem with two unknowns using a linear equation alge173 Solving a decimal word problem using a linear equation of the form Ax + B = C arith064 Solving a word problem on proportions using a unit rate arith610 Word problem on proportions: Problem type 1 alge823 Solving a one-step word problem using the formula d = rt alge218 Solving a word problem involving rates and time conversion alge015 Translating a sentence by using an inequality symbol alge017 Graphing a linear inequality on the number line alge822 Writing an inequality given a graph on the number line alge019 Solving a linear inequality: Problem type 1 alge020 Solving a linear inequality: Problem type 2 alge021 Solving a linear inequality: Problem type 3 alge745 Solving a linear inequality: Problem type 5 alge807 Finding the next terms of a sequence with whole numbers fun005 Writing a function rule given a table of ordered pairs: One-step rules alge282 Function tables with two-step rules fun001 Table for a linear function alge278 Reading a point in quadrant 1 alge064 Reading a point in the coordinate plane alge279 Plotting a point in quadrant 1

353

354 APPENDIX B. PROGRAMS IN ALEKS alge067 Plotting a point in the coordinate plane alge280 Graphing a line in quadrant 1 alge194 Graphing a line given its equation in slope-intercept form alge198 Graphing a vertical or horizontal line alge263 Interpreting the graphs of two functions alge684 Finding slope given the graph of a line on a grid alge685 Finding slope given two points on the line alge828 Interpreting direct variation from a graph

Geometry and Measurement geom525 Computing distances between decimals on the number line geom339 Perimeter of a polygon geom300 Perimeter of a square or a rectangle geom866 Perimeter and area on a grid geom019 Area of a square or a rectangle geom350 Distinguishing between area and perimeter geom351 Areas of rectangles with the same perimeter geom217 Finding the side length of a rectangle given its perimeter or area geom221 Finding the missing length in a figure geom353 Perimeter of a piecewise rectangular figure geom340 Area of a piecewise rectangular figure geom801 Area of a triangle geom001 Finding an angle measure of a triangle given two angles geom044 Pythagorean Theorem geom016 Circumference of a circle geom802 Circumference and area of a circle geom302 Area involving rectangles and circles geom219 Nets of solids geom354 Volume of a rectangular prism made of unit cubes geom311 Volume of a rectangular prism geom035 Volume of a cylinder geom031 Surface area of a cube or a rectangular prism unit005 U.S. Customary unit conversion with whole number values unit001 Metric distance conversion with whole number values unit034 Converting between metric and U.S. Customary unit systems unit012 Time unit conversion with whole number values mstat005 Constructing a bar graph for non-numerical data mstat024 Interpreting a bar graph mstat044 Interpreting a double bar graph mstat007 Interpreting a line graph stat804 Interpreting a circle graph or pie chart mstat003 Mode of a data set mstat001 Mean of a data set mstat028 Mean and median of a data set stat803 Finding the value for a new score that will yield a given mean mstat026 Introduction to the probability of an event mstat010 Probability of an event

## B.18

## Foundations of H.S. Math

Whole Numbers and Integers arith124 Whole number place value: Problem type 1 arith125 Whole number place value: Problem type 2

B.18. FOUNDATIONS OF H.S. MATH arith066 Expanded form arith643 Expanded form with zeros arith028 Numeral translation: Problem type 1 arith060 Numeral translation: Problem type 2 arith630 Addition with carry to the hundreds place arith012 Addition of large numbers arith006 Subtraction with borrowing arith682 Subtraction with multiple regrouping steps arith637 Subtraction and regrouping with zeros arith613 Word problem with addition or subtraction of whole numbers mstat061 Describing an increasing or decreasing pattern from a table of values arith126 Multiplication as repeated addition arith004 Multiplication with carry arith615 Introduction to multiplication of large numbers arith675 Understanding multiplication of a one-digit number with a larger number arith014 Multiplication of large numbers arith641 Multiples: Problem type 1 arith642 Multiples: Problem type 2 arith614 Word problem with multiplication or division of whole numbers arith130 Word problem with multiplication and addition or subtraction of whole numbers arith451 Word problem on unit rates associated with ratios of whole numbers: Whole number answers arith243 Division of whole numbers given in fractional form arith711 Division involving zero arith005 Division with carry arith901 Whole number division: 2-digit by 2-digit, no remainder arith902 Whole number division: 3-digit by 2-digit, no remainder arith616 Quotient and remainder: Problem type 1 arith617 Quotient and remainder: Problem type 2 arith631 Quotient and remainder: Problem type 3 arith650 Division involving quotients with intermediate zeros arith023 Word problem with division of whole numbers and rounding arith651 Introduction to inequalities arith652 Comparing a numerical expression with a number arith077 Ordering large numbers arith078 Rounding to tens or hundreds arith123 Rounding to hundreds or thousands arith061 Rounding to thousands, ten thousands, or hundred thousands arith101 Estimating a sum of whole numbers arith102 Estimating a difference of whole numbers arith677 Estimating a product arith678 Estimating a quotient arith692 Writing expressions using exponents arith233 Introduction to exponents arith683 Power of 10: Positive exponent arith645 Introduction to parentheses arith865 Comparing numerical expressions with parentheses arith681 Introduction to order of operations arith048 Order of operations with whole numbers arith051 Order of operations with whole numbers and grouping symbols arith693 Order of operations with whole numbers and exponents: Basic arith713 Order of operations with whole numbers and exponents: Advanced arith646 Even and odd numbers arith647 Divisibility rules for 2, 5, and 10 arith648 Divisibility rules for 3 and 9 arith056 Factors arith034 Prime numbers arith035 Prime factorization arith033 Greatest common factor of 2 numbers arith516 Greatest common factor of 3 numbers arith409 Introduction to the distributive property arith657 Understanding the distributive property arith410 Introduction to factoring with numbers

355

356 APPENDIX B. PROGRAMS IN ALEKS arith411 Factoring a sum or difference of whole numbers arith070 Least common multiple of 2 numbers arith804 Least common multiple of 3 numbers arith418 Word problem involving the least common multiple of 2 numbers arith240 Word problem with common multiples alge286 Plotting integers on a number line arith691 Ordering integers arith415 Using a number line to compare integers arith699 Writing a signed number for a real-world situation arith400 Interpreting a table of signed numbers that relate to a real-world situation: Problem type 1 arith511 Interpreting a table of signed numbers that relate to a real-world situation: Problem type 2 arith416 Comparing signed numbers relating to a real-world situation arith402 Plotting opposite integers on a number line arith403 Finding opposites of integers arith071 Absolute value of a number arith412 Finding all numbers with a given absolute value arith200 Integer addition: Problem type 1 arith108 Integer addition: Problem type 2 arith431 Identifying a sum as a point located a given distance from another point arith430 Identifying relative change when combining two quantities arith688 Integer subtraction: Problem type 1 arith689 Integer subtraction: Problem type 2 arith690 Integer subtraction: Problem type 3 arith754 Addition and subtraction with 3 integers arith755 Addition and subtraction with 4 or 5 integers arith440 Operations with absolute value: Problem type 1 arith104 Operations with absolute value: Problem type 2 alge694 Computing the distance between two integers on a number line arith433 Computing and understanding distances between integers on a number line arith701 Word problem with addition or subtraction of integers arith231 Integer multiplication and division arith800 Multiplication of 3 or 4 integers arith952 Word problem with multiplication or division of integers arith702 Exponents and integers: Problem type 1 arith703 Exponents and integers: Problem type 2 arith118 Order of operations with integers arith600 Order of operations with integers and exponents alge284 Evaluating an algebraic expression: Whole number addition or subtraction alge683 Evaluating an algebraic expression: Whole number multiplication or division alge285 Evaluating an algebraic expression: Whole numbers with two operations alge649 Evaluating a formula alge648 Evaluating an algebraic expression: Whole numbers with one operation and an exponent alge832 Evaluating an algebraic expression: Whole number operations and exponents alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction alge004 Evaluating a quadratic expression: Integers alge733 Writing a one-step expression for a real-world situation alge831 Translating a phrase into a one-step expression alge291 Translating a phrase into a two-step expression geom339 Perimeter of a polygon geom300 Perimeter of a square or a rectangle geom019 Area of a square or a rectangle geom866 Perimeter and area on a grid geom311 Volume of a rectangular prism alge650 Identifying solutions to a one-step linear equation: Problem type 1 alge651 Identifying solutions to a one-step linear equation: Problem type 2 alge009 Additive property of equality with whole numbers alge010 Additive property of equality with integers alge008 Multiplicative property of equality with whole numbers alge797 Multiplicative property of equality with integers

Fractions

B.18. FOUNDATIONS OF H.S. MATH arith623 Introduction to fractions arith665 Understanding equivalent fractions arith212 Equivalent fractions arith666 Introduction to simplifying a fraction arith067 Simplifying a fraction alge660 Identifying equivalent signed fractions arith687 Fractional position on a number line arith667 Plotting fractions on a number line arith044 Ordering fractions with the same denominator arith091 Ordering fractions with the same numerator arith092 Using a common denominator to order fractions arith079 Product of a unit fraction and a whole number arith086 Product of a fraction and a whole number: Problem type 1 arith119 Introduction to fraction multiplication arith053 Fraction multiplication arith812 Product of a fraction and a whole number: Problem type 2 arith905 Determining if a quantity is increased or decreased when multiplied by a fraction arith509 Modeling multiplication of proper fractions arith813 Multiplication of 3 fractions arith822 Signed fraction multiplication: Basic arith105 Signed fraction multiplication: Advanced arith818 Word problem involving fractions and multiplication arith095 Multi-step word problem involving fractions and multiplication arith088 The reciprocal of a number arith694 Division involving a whole number and a fraction arith022 Fraction division arith507 Fact families for multiplication and division of fractions arith508 Modeling division of a whole number by a fraction arith814 Signed fraction division arith819 Word problem involving fractions and division arith618 Addition or subtraction of fractions with the same denominator arith802 Addition or subtraction of fractions with the same denominator and simplification alge432 Introduction to adding fractions with variables and common denominators arith801 Finding the LCD of two fractions arith109 Addition or subtraction of unit fractions arith664 Introduction to addition or subtraction of fractions with different denominators arith230 Addition or subtraction of fractions with different denominators arith803 Addition and subtraction of 3 fractions with different denominators arith116 Signed fraction addition or subtraction: Basic arith864 Signed fraction subtraction involving double negation arith106 Signed fraction addition or subtraction: Advanced arith811 Addition and subtraction of 3 fractions involving signs arith805 Word problem involving addition or subtraction of fractions with different denominators arith100 Fractional part of a circle arith662 Writing a mixed number and an improper fraction for a shaded region arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction arith605 Plotting rational numbers on a number line arith215 Addition or subtraction of mixed numbers with the same denominator arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing arith806 Addition or subtraction of mixed numbers with different denominators and no carry or borrow arith808 Addition of mixed numbers with different denominators and carry arith809 Subtraction of mixed numbers with different denominators and borrowing arith807 Addition and subtraction of 3 mixed numbers with different denominators arith810 Word problem involving addition or subtraction of mixed numbers with different denominators arith815 Mixed number multiplication arith816 Multiplication of a mixed number and a whole number arith817 Division with a mixed number and a whole number arith068 Mixed number division arith820 Word problem involving multiplication or division with mixed numbers arith821 Exponents and fractions

357

358 APPENDIX B. PROGRAMS IN ALEKS alge790 Evaluating expressions with exponents of zero arith704 Exponents and signed fractions arith859 Order of operations with fractions: Problem type 1 arith860 Order of operations with fractions: Problem type 2 arith861 Order of operations with fractions: Problem type 3 arith695 Complex fraction without variables: Problem type 1 alge808 Evaluating a linear expression: Signed fraction multiplication with addition or subtraction alge801 Additive property of equality with fractions and mixed numbers alge836 Additive property of equality with signed fractions alge646 Multiplicative property of equality with whole numbers: Fractional answers alge820 Multiplicative property of equality with fractions alge012 Multiplicative property of equality with signed fractions

Decimals arith127 Writing a decimal and a fraction for a shaded region arith110 Decimal place value: Tenths and hundredths arith220 Decimal place value: Hundreds to ten thousandths arith714 Writing a decimal number less than 1 given its name arith715 Writing a decimal number greater than 1 given its name arith716 Writing a decimal number given its name: Advanced arith829 Reading decimal position on a number line: Tenths arith830 Reading decimal position on a number line: Hundredths arith831 Understanding decimal position on a number line using zoom: Hundredths arith832 Understanding decimal position on a number line using zoom: Thousandths arith129 Introduction to ordering decimals arith608 Ordering decimals arith221 Rounding decimals arith717 Converting a decimal to a proper fraction without simplifying: Basic arith719 Converting a decimal to a proper fraction without simplifying: Advanced arith718 Converting a decimal to a proper fraction in simplest form: Basic arith087 Converting a decimal to a proper fraction in simplest form: Advanced arith721 Converting a decimal to a mixed number and an improper fraction without simplifying arith722 Converting a decimal to a mixed number and an improper fraction in simplest form: Basic arith724 Converting a decimal to a mixed number and an improper fraction in simplest form: Advanced arith624 Addition of aligned decimals arith013 Decimal addition with 3 numbers arith734 Subtraction of aligned decimals arith735 Decimal subtraction: Basic arith736 Decimal subtraction: Advanced arith737 Decimal addition and subtraction with 3 or more numbers arith131 Estimating a decimal sum or difference arith117 Signed decimal addition and subtraction arith234 Signed decimal addition and subtraction with 3 numbers geom525 Computing distances between decimals on the number line arith132 Word problem with addition or subtraction of 2 decimals arith133 Word problem with addition of 3 or 4 decimals and whole numbers arith134 Word problem with subtraction of a whole number and a decimal: Regrouping with zeros arith739 Introduction to decimal multiplication arith017 Multiplication of a decimal by a whole number arith055 Decimal multiplication: Problem type 1 arith046 Decimal multiplication: Problem type 2 arith082 Multiplication of a decimal by a power of ten arith738 Multiplication of a decimal by a power of 0.1

arith740 Multiplication of decimals that have a product less than 0.1

arith752 Estimating a product of decimals arith750 Signed decimal multiplication arith135 Word problem with multiplication of a decimal and a whole number arith137 Word problem with multiplication of two decimals arith628 Word problem with multiple decimal operations: Problem type 1

B.18. FOUNDATIONS OF H.S. MATH arith744 Whole number division with decimal answers arith081 Division of a decimal by a whole number arith743 Division of a decimal by a 1-digit decimal arith019 Division of a decimal by a 2-digit decimal arith083 Division of a decimal by a power of ten arith742 Division of a decimal by a power of 0.1

arith745 Decimal division with rounding arith751 Signed decimal division arith136 Word problem with division of a decimal and a whole number arith138 Word problem with division of two decimals arith629 Word problem with multiple decimal operations: Problem type 2 arith103 Average of two numbers arith725 Converting a fraction with a denominator of 10 or 100 to a decimal arith726 Converting a fraction with a denominator of 100 or 1000 to a decimal arith113 Converting a proper fraction with a denominator of 2, 4, or 5 to a decimal arith114 Converting a mixed number with a denominator of 2, 4, or 5 to a decimal arith727 Converting a fraction to a terminating decimal: Basic arith728 Converting a fraction to a terminating decimal: Advanced arith730 Converting a fraction to a repeating decimal: Basic arith731 Converting a fraction to a repeating decimal: Advanced arith733 Using a calculator to convert a fraction to a rounded decimal arith111 Converting a mixed number to a terminating decimal: Basic arith112 Converting a mixed number to a terminating decimal: Advanced arith732 Converting a fraction or mixed number to a rounded decimal arith609 Ordering fractions and decimals arith753 Squaring decimal bases: Products greater than 0.1

arith741 Exponents and decimals: Products less than 0.1

arith720 Order of operations with decimals: Problem type 1 arith746 Order of operations with decimals: Problem type 2 arith747 Order of operations with decimals: Problem type 3 arith748 Addition or subtraction with a decimal and a mixed number arith749 Multiplication with a decimal and a fraction alge302 Evaluating a linear expression: Signed decimal addition and subtraction alge303 Evaluating a linear expression: Signed decimal multiplication with addition or subtraction alge800 Additive property of equality with decimals alge825 Multiplicative property of equality with decimals

Ratios, Proportions, and Measurement arith823 Writing ratios using different notations arith663 Writing ratios for real-world situations arith450 Identifying statements that describe a ratio arith824 Simplifying a ratio of whole numbers: Problem type 1 arith825 Simplifying a ratio of decimals arith827 Finding a unit price arith455 Using tables to compare ratios arith828 Computing unit prices to find the better buy arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers arith505 Word problem on unit rates associated with ratios of fractions arith506 Word problem on unit rates associated with ratios of mixed numbers arith064 Solving a word problem on proportions using a unit rate alge823 Solving a one-step word problem using the formula d = rt arith452 Finding missing values in a table of equivalent ratios arith453 Using a table of equivalent ratios to find a missing quantity in a ratio arith504 Writing an equation to represent a proportional relationship alge819 Solving a proportion of the form x/a=b/c: Basic alge272 Solving a proportion of the form x/a = b/c arith610 Word problem on proportions: Problem type 1 arith611 Word problem on proportions: Problem type 2 arith045 Word problem with powers of ten

359

360 APPENDIX B. PROGRAMS IN ALEKS arith500 Identifying proportional relationships in tables by calculating unit rates: Whole numbers arith510 Identifying proportional relationships in tables by calculating unit rates: Fractions geom359 Identifying congruent shapes on a grid geom360 Identifying similar or congruent shapes on a grid geom037 Similar polygons geom038 Similar right triangles geom337 Indirect measurement geom538 Finding lengths using scale models geom539 Finding a scale factor: Same units geom541 Using a scale drawing to find actual area geom542 Reproducing a scale drawing at a different scale mstat058 Choosing a measuring tool mstat059 Choosing U.S. Customary measurement units mstat033 Measuring length to the nearest inch mstat034 Measuring length to the nearest quarter or half inch unit005 U.S. Customary unit conversion with whole number values mstat035 Conversions involving measurements in feet and inches mstat036 Adding measurements in feet and inches unit006 U.S. Customary unit conversion with whole number values: Two-step conversion unit007 U.S. Customary unit conversion with mixed number values: One-step conversion unit008 U.S. Customary unit conversion with mixed number values: Two-step conversion unit009 U.S. Customary area unit conversion with whole number values mstat060 Choosing metric measurement units mstat063 Measuring length to the nearest centimeter mstat064 Measuring length to the nearest millimeter unit001 Metric distance conversion with whole number values unit002 Metric mass or capacity conversion with whole number values unit003 Metric distance conversion with decimal values unit004 Metric conversion with decimal values: Two-step problem unit010 Metric area unit conversion with decimal values unit012 Time unit conversion with whole number values time009 Introduction to adding time time006 Adding time time011 Introduction to elapsed time time007 Elapsed time mstat062 Reading a positive temperature from a thermometer mstat038 Reading the temperature from a thermometer mstat065 Converting between temperatures in Fahrenheit and Celsius arith826 Simplifying a ratio of whole numbers: Problem type 2 alge218 Solving a word problem involving rates and time conversion unit034 Converting between metric and U.S. Customary unit systems unit035 Converting between compound units: Basic unit036 Converting between compound units: Advanced

Percents arith836 Converting a fraction with a denominator of 100 to a percentage arith837 Converting a percentage to a fraction with a denominator of 100 arith674 Finding the percentage of a grid that is shaded arith903 Representing benchmark percentages on a grid arith723 Introduction to converting a percentage to a decimal arith833 Introduction to converting a decimal to a percentage arith834 Converting between percentages and decimals arith841 Converting a mixed number percentage to a decimal arith835 Converting between percentages and decimals in a real-world situation arith090 Converting a percentage to a fraction in simplest form arith839 Converting a decimal percentage to a fraction arith838 Converting a fraction to a percentage: Denominator of 4, 5, or 10 arith904 Finding benchmark fractions and percentages for a figure arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50

B.18. FOUNDATIONS OF H.S. MATH arith843 Using a calculator to convert a fraction to a rounded percentage arith842 Converting a fraction to a percentage in a real-world situation arith840 Finding a percentage of a whole number arith030 Finding a percentage of a whole number without a calculator: Basic arith844 Finding a percentage of a whole number without a calculator: Advanced arith862 Applying the percent equation: Problem type 1 arith863 Applying the percent equation: Problem type 2 arith845 Finding a percentage of a total amount: Real-world situations arith846 Finding a percentage of a total amount without a calculator: Sales tax, commission, discount arith857 Estimating a tip without a calculator arith069 Writing a ratio as a percentage without a calculator arith850 Finding the rate of a tax or commission arith849 Finding the total amount given the percentage of a partial amount stat805 Making a reasonable inference based on proportion statistics stat804 Interpreting a circle graph or pie chart arith856 Finding a percentage of a total amount in a circle graph stat801 Computations from a circle graph arith852 Finding the multiplier to give a final amount after a percentage increase or decrease arith851 Finding the final amount given the original amount and a percentage increase or decrease arith847 Finding the sale price given the original price and percent discount arith074 Finding the sale price without a calculator given the original price and percent discount arith848 Finding the total cost including tax or markup arith855 Finding the original amount given the result of a percentage increase or decrease arith031 Finding the original price given the sale price and percent discount arith858 Finding the percentage increase or decrease: Basic arith225 Finding the percentage increase or decrease: Advanced unit052 Finding the absolute error and percent error of a measurement arith232 Finding simple interest without a calculator arith853 Introduction to compound interest arith915 Calculating income tax arith918 Comparing discounts arith909 Examining a savings plan for college arith914 Calculations involving paying for college arith920 Comparing total costs for attending different colleges arith922 Distinguishing between fixed and variable expenses arith916 Computing percentages for categories of a budget arith919 Computations involving cost of living and hourly wage arith921 Comparing annual salaries of different occupations arith911 Calculations involving purchases with debit and credit cards arith950 Comparing costs of checking accounts arith951 Balancing a check register arith912 Reading a credit report arith913 Understanding the impact of a credit score arith917 Computing a person’s net worth arith906 Calculating and comparing monthly payments using the ALEKS loan calculator arith907 Calculating monthly payment, total payment, and interest using the ALEKS loan calculator arith908 Calculating and comparing total loan payments using the ALEKS loan calculator arith910 Calculating and comparing simple interest and compound interest

Equations and Inequalities alge647 Identifying like terms alge700 Combining like terms: Whole number coefficients alge607 Combining like terms: Integer coefficients arith655 Introduction to properties of addition alge187 Properties of addition alge666 Combining like terms: Fractional coefficients alge665 Combining like terms: Decimal coefficients alge310 Multiplying a constant and a linear monomial alge606 Distributive property: Whole number coefficients

361

362 APPENDIX B. PROGRAMS IN ALEKS alge604 Distributive property: Integer coefficients alge610 Distributive property: Fractional coefficients alge605 Factoring a linear binomial alge612 Identifying parts in an algebraic expression alge613 Identifying equivalent algebraic expressions arith656 Introduction to properties of multiplication alge188 Properties of real numbers alge608 Using distribution and combining like terms to simplify: Univariate alge667 Identifying properties used to simplify an algebraic expression alge609 Using distribution with double negation and combining like terms to simplify: Multivariate alge293 Combining like terms in a quadratic expression alge436 Adding rational expressions with different denominators and a single occurrence of a variable alge834 Identifying solutions to a linear equation in one variable: Two-step equations alge803 Using two steps to solve an equation with whole numbers alge266 Additive property of equality with a negative coefficient alge006 Solving a two-step equation with integers alge200 Solving an equation to find the value of an expression alge920 Introduction to solving an equation with parentheses alge837 Solving a multi-step equation given in fractional form alge986 Identifying properties used to solve a linear equation alge824 Solving a two-step equation with signed decimals alge838 Introduction to solving an equation with variables on the same side alge862 Solving a linear equation with several occurrences of the variable: Variables on the same side alge611 Introduction to solving a linear equation with a variable on each side alge863 Solving a linear equation with several occurrences of the variable: Variables on both sides alge011 Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution alge013 Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution alge209 Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions alge614 Clearing fractions in an equation alge420 Solving a linear equation with several occurrences of the variable: Fractional forms with monomial numerators alge208 Solving a two-step equation with signed fractions alge061 Solving a linear equation with several occurrences of the variable: Variables on both sides and fractional coefficients alge742 Solving equations with zero, one, or infinitely many solutions alge840 Solving a proportion of the form (x+a)/b = c/d alge271 Solving a proportion of the form a/(x+b) = c/x alge658 Introduction to solving a rational equation alge060 Solving a rational equation that simplifies to linear: Denominator x alge603 Introduction to solving an absolute value equation alge864 Solving an absolute value equation: Problem type 1 alge511 Solving for a variable in terms of other variables using addition or subtraction: Basic alge512 Solving for a variable in terms of other variables using addition or subtraction: Advanced alge513 Solving for a variable in terms of other variables using multiplication or division: Basic alge514 Solving for a variable in terms of other variables using multiplication or division: Advanced alge517 Solving for a variable in terms of other variables using addition or subtraction with division alge518 Solving for a variable inside parentheses in terms of other variables alge507 Solving for a variable in terms of other variables in a linear equation with fractions alge802 Solving a fraction word problem using a linear equation of the form Ax = B alge016 Translating a sentence into a one-step equation alge671 Choosing stories that can be represented by given one-step equations alge841 Translating a sentence into a multi-step equation alge628 Writing an equation of the form Ax + B = C to solve a word problem alge618 Comparing arithmetic and algebraic solutions to a word problem alge672 Choosing stories that can be represented by given two-step equations alge173 Solving a decimal word problem using a linear equation of the form Ax + B = C alge629 Writing an equation of the form A(x + B) = C to solve a word problem alge014 Solving a word problem with two unknowns using a linear equation alge673 Writing an equation to represent a real-world problem: Variable on both sides

B.18. FOUNDATIONS OF H.S. MATH alge674 Writing and solving a real-world problem given an equation with the variable on both sides alge219 Solving a decimal word problem using a linear equation with the variable on both sides alge704 Solving a fraction word problem using a linear equation with the variable on both sides alge792 Solving a word problem with three unknowns using a linear equation alge842 Solving a word problem involving consecutive integers alge794 Solving a value mixture problem using a linear equation alge795 Solving a percent mixture problem using a linear equation alge796 Solving a distance, rate, time problem using a linear equation alge015 Translating a sentence by using an inequality symbol alge845 Translating a sentence into a one-step inequality alge653 Introduction to identifying solutions to an inequality alge748 Writing an inequality for a real-world situation alge017 Graphing a linear inequality on the number line alge822 Writing an inequality given a graph on the number line alge186 Translating a sentence into a compound inequality alge166 Graphing a compound inequality on the number line alge847 Writing a compound inequality given a graph on the number line alge652 Identifying solutions to a one-step linear inequality alge848 Additive property of inequality with whole numbers alge849 Additive property of inequality with integers alge852 Additive property of inequality with signed fractions alge853 Additive property of inequality with signed decimals alge809 Multiplicative property of inequality with whole numbers alge854 Multiplicative property of inequality with integers alge964 Multiplicative property of inequality with signed fractions alge621 Solving a word problem using a one-step linear inequality alge844 Identifying solutions to a two-step linear inequality in one variable alge636 Solving a two-step linear inequality with whole numbers alge855 Solving a two-step linear inequality: Problem type 1 alge856 Solving a two-step linear inequality: Problem type 2 alge857 Solving a two-step linear inequality with a fractional coefficient alge977 Solving a linear inequality with multiple occurrences of the variable: Problem type 1 alge858 Solving a linear inequality with multiple occurrences of the variable: Problem type 2 alge859 Solving a linear inequality with multiple occurrences of the variable: Problem type 3 alge846 Translating a sentence into a multi-step inequality alge619 Solving a word problem using a two-step linear inequality and describing the solution alge623 Solving a word problem using a two-step linear inequality alge749 Solving a decimal word problem using a two-step linear inequality

Graphing, Functions, and Sequences alge278 Reading a point in quadrant 1 alge279 Plotting a point in quadrant 1 alge064 Reading a point in the coordinate plane alge067 Plotting a point in the coordinate plane alge692 Plotting a point in quadrant 1: Mixed number coordinates alge693 Plotting a point in the coordinate plane: Mixed number coordinates arith404 Naming the quadrant or axis of a point given its graph arith405 Naming the quadrant or axis of a point given its coordinates arith406 Naming the quadrant or axis of a point given the signs of its coordinates alge695 Finding distances between points that share a common coordinate: Problem type 1 alge696 Finding distances between points that share a common coordinate: Problem type 2 alge191 Midpoint of a line segment in the plane alge282 Function tables with two-step rules alge850 Table for a linear equation fun005 Writing a function rule given a table of ordered pairs: One-step rules fun006 Writing a function rule given a table of ordered pairs: Two-step rules alge873 Identifying solutions to a linear equation in two variables alge066 Finding a solution to a linear equation in two variables alge280 Graphing a line in quadrant 1

363

364 APPENDIX B. PROGRAMS IN ALEKS alge877 Graphing a linear equation of the form y = mx alge878 Graphing a line given its equation in slope-intercept form: Integer slope alge879 Graphing a line given its equation in slope-intercept form: Fractional slope alge880 Graphing a line given its equation in standard form alge198 Graphing a vertical or horizontal line alge884 Finding x- and y-intercepts given the graph of a line on a grid alge924 Finding x- and y-intercepts of a line given the equation: Basic alge210 Finding x- and y-intercepts of a line given the equation: Advanced alge197 Graphing a line given its x- and y-intercepts alge881 Graphing a line by first finding its x- and y-intercepts alge874 Identifying linear functions given ordered pairs geom358 Identifying parallel and perpendicular lines mstat007 Interpreting a line graph arith454 Making a table and plotting points given a unit rate arith501 Identifying proportional relationships in graphs: Basic arith502 Identifying proportional relationships in graphs: Advanced arith512 Finding outputs and rate of increase given the graph of a line that models a real-world situation alge699 Comparing proportional relationships given in different forms alge575 Finding slope given the graph of a line in quadrant 1 that models a real-world situation alge875 Classifying slopes given graphs of lines alge886 Finding slope given the graph of a line on a grid alge887 Finding slope given two points on the line alge885 Finding the slope of horizontal and vertical lines alge814 Using right triangles to find the slope of a line alge888 Finding the coordinate that yields a given slope alge259 Graphing a line given its slope and y-intercept alge196 Graphing a line through a given point with a given slope alge982 Identifying direct variation equations alge938 Identifying direct variation from ordered pairs and writing equations alge904 Writing a direct variation equation alge175 Word problem on direct variation alge828 Interpreting direct variation from a graph alge905 Writing an inverse variation equation alge903 Identifying direct and inverse variation equations alge902 Identifying direct and inverse variation from ordered pairs and writing equations alge176 Word problem on inverse variation alge220 Word problem on inverse proportions alge625 Identifying linear equations: Basic alge891 Rewriting a linear equation in the form Ax + By = C alge889 Finding the slope and y-intercept of a line given its equation in the form y = mx + b alge890 Finding the slope and y-intercept of a line given its equation in the form Ax + By = C alge882 Graphing a line by first finding its slope and y-intercept alge258 Writing an equation of a line given its slope and y-intercept alge892 Writing an equation and graphing a line given its slope and y-intercept alge893 Writing an equation in slope-intercept form given the slope and a point alge883 Graphing a line given its equation in point-slope form alge894 Writing an equation in point-slope form given the slope and a point alge070 Writing an equation of a line given the y-intercept and another point alge072 Writing the equation of the line through two given points alge073 Writing the equations of vertical and horizontal lines through a given point geom806 Finding slopes of lines parallel and perpendicular to a line given in slope-intercept form geom807 Finding slopes of lines parallel and perpendicular to a line given in the form Ax + By = C alge895 Identifying parallel and perpendicular lines from equations geom808 Writing equations of lines parallel and perpendicular to a given line through a point alge630 Finding outputs of a one-step function that models a real-world situation: Two variable equation alge632 Finding outputs of a two-step function with decimals that models a real-world situation: Two variable equation alge633 Finding inputs and outputs of a two-step function that models a real-world situation: Two variable equation alge655 Writing and evaluating a function that models a real-world situation: Basic alge897 Writing and evaluating a function that models a real-world situation: Advanced alge654 Graphing ordered pairs and writing an equation from a table of values in context

B.18. FOUNDATIONS OF H.S. MATH alge656 Writing an equation and drawing its graph to model a real-world situation: Basic alge701 Writing an equation and drawing its graph to model a real-world situation: Advanced alge817 Finding the initial amount and rate of change given a table for a linear function alge818 Finding the initial amount and rate of change given a graph of a linear function alge987 Comparing properties of linear functions given in different forms alge989 Interpreting the parameters of a linear function that models a real-world situation alge805 Application problem with a linear function: Finding a coordinate given the slope and a point alge806 Application problem with a linear function: Finding a coordinate given two points alge670 Identifying independent and dependent quantities from tables and graphs mstat052 Identifying independent and dependent variables from equations or real-world situations fun032 Identifying functions from relations fun010 Vertical line test fun016 Domain and range from ordered pairs fun001 Table for a linear function pcalc760 Evaluating functions: Linear and quadratic or cubic alge294 Finding outputs of a one-step function that models a real-world situation: Function notation alge295 Finding outputs of a two-step function with decimals that models a real-world situation: Function notation alge296 Finding inputs and outputs of a two-step function that models a real-world situation: Function notation alge990 Domain and range of a linear function that models a real-world situation fun026 Finding an output of a function from its graph pcalc761 Finding inputs and outputs of a function from its graph fun007 Domain and range from the graph of a discrete relation alge896 Graphing an integer function and finding its range for a given domain alge570 Graphing a function of the form f(x) = ax + b: Integer slope alge571 Graphing a function of the form f(x) = ax + b: Fractional slope alge999 Finding where a function is increasing, decreasing, or constant given the graph mstat018 Choosing a graph to fit a narrative: Basic mstat051 Choosing a graph to fit a narrative : Advanced alge913 Graphing an absolute value equation of the form y = A—x— alge900 Graphing an absolute value equation in the plane: Basic alge168 Graphing an absolute value equation in the plane: Advanced alge954 Graphing a parabola of the form y = ax2 alge955 Graphing a parabola of the form y = ax2 + c alge262 Graphing a cubic function of the form y = ax3 alge925 Finding the next terms of an arithmetic sequence with whole numbers alge933 Finding the next terms of a geometric sequence with whole numbers alge732 Finding patterns in shapes alge644 Finding the first terms of an arithmetic sequence using an explicit rule alge645 Finding the first terms of a geometric sequence using an explicit rule alge906 Finding the next terms of an arithmetic sequence with integers alge979 Identifying arithmetic sequences and finding the common difference alge931 Finding a specified term of an arithmetic sequence given the first terms pcalc085 Finding a specified term of an arithmetic sequence given the common difference and first term alge909 Writing an explicit rule for an arithmetic sequence alge907 Finding the next terms of a geometric sequence with signed numbers alge981 Identifying arithmetic and geometric sequences alge980 Identifying geometric sequences and finding the common ratio alge934 Finding a specified term of a geometric sequence given the first terms pcalc086 Finding a specified term of a geometric sequence given the common ratio and first term pcalc713 Arithmetic and geometric sequences: Identifying and writing an explicit rule alge914 Identifying solutions to a system of linear equations alge725 Graphically solving a system of linear equations alge815 Introduction to using substitution to solve a linear equation alge816 Solving a system of linear equations of the form y = mx + b alge751 Solving a system of linear equations using substitution alge915 Solving a system of linear equations using elimination with addition alge076 Solving a system of linear equations using elimination with multiplication and addition alge634 Solving systems of linear equations with 0, 1, or infinitely many solutions alge263 Interpreting the graphs of two functions alge078 Solving a word problem involving a sum and another basic relationship using a system of linear equations alge919 Solving a word problem using a system of linear equations of the form Ax + By = C

365

366 APPENDIX B. PROGRAMS IN ALEKS alge918 Solving a word problem using a system of linear equations of the form y = mx + b alge184 Solving a value mixture problem using a system of linear equations pcalc038 Addition or subtraction of matrices alge912 Identifying solutions to a linear inequality in two variables alge225 Graphing a linear inequality in the plane: Vertical or horizontal line alge720 Graphing a linear inequality in the plane: Slope-intercept form alge018 Graphing a linear inequality in the plane: Standard form alge079 Graphing a system of two linear inequalities: Basic alge921 Graphing a system of two linear inequalities: Advanced

Exponents, Polynomials, and Radicals alge686 Introduction to the product rule with positive exponents: Whole number base alge821 Understanding the product rule of exponents alge024 Introduction to the product rule of exponents alge311 Product rule with positive exponents: Univariate alge030 Product rule with positive exponents: Multivariate alge690 Introduction to the power of a power rule with positive exponents: Whole number base alge826 Understanding the power rules of exponents alge306 Introduction to the power of a power rule of exponents alge305 Introduction to the power of a product rule of exponents alge307 Power rules with positive exponents: Multivariate products alge308 Power rules with positive exponents: Multivariate quotients alge451 Simplifying a ratio of multivariate monomials: Basic alge688 Introduction to the quotient rule with positive exponents: Whole number base alge827 Introduction to the quotient rule of exponents alge452 Simplifying a ratio of univariate monomials alge026 Quotient of expressions involving exponents arith029 Ordering numbers with positive exponents arith684 Power of 10: Negative exponent arith729 Evaluating an expression with a negative exponent: Whole number base arith042 Evaluating an expression with a negative exponent: Positive fraction base arith043 Evaluating an expression with a negative exponent: Negative integer base arith024 Ordering numbers with negative exponents alge791 Rewriting an algebraic expression without a negative exponent alge687 Introduction to the product rule with negative exponents: Whole number base alge961 Introduction to the product rule with negative exponents alge689 Introduction to the quotient rule with negative exponents: Whole number base alge755 Quotient rule with negative exponents: Problem type 1 alge691 Introduction to the power of a power rule with negative exponents: Whole number base alge025 Power of a power rule with negative exponents scinot023 Introduction to scientific notation with positive exponents arith036 Scientific notation with positive exponent scinot024 Introduction to scientific notation with negative exponents arith037 Scientific notation with negative exponent scinot012 Converting between scientific notation and standard form in a real-world situation scinot025 Estimating numbers using scientific notation scinot020 Choosing metric units and converting to the base unit in scientific notation scinot021 Expressing calculator notation as scientific notation scinot008 Multiplying numbers written in scientific notation: Basic scinot009 Multiplying numbers written in scientific notation: Advanced scinot019 Multiplying numbers written in decimal form or scientific notation in a real-world situation scinot010 Dividing numbers written in scientific notation: Basic scinot011 Dividing numbers written in scientific notation: Advanced scinot013 Finding the scale factor between numbers given in scientific notation in a real-world situation scinot015 Adding or subtracting numbers written in scientific notation: Same exponents, basic scinot022 Adding or subtracting numbers written in scientific notation: Same exponents, advanced scinot016 Adding or subtracting numbers written in scientific notation: Different exponents scinot017 Estimating the sum or difference of two numbers written in scientific notation alge758 Degree and leading coefficient of a univariate polynomial

B.18. FOUNDATIONS OF H.S. MATH alge031 Degree of a multivariate polynomial alge798 Simplifying a sum or difference of two univariate polynomials alge029 Simplifying a sum or difference of three univariate polynomials alge735 Multiplying a univariate polynomial by a monomial with a positive coefficient alge033 Multiplying binomials with leading coefficients of 1 alge983 Multiplying binomials with leading coefficients greater than 1 alge765 Multiplying binomials in two variables alge764 Multiplying conjugate binomials: Univariate alge032 Squaring a binomial: Univariate alge935 Multiplication involving binomials and trinomials in one variable alge180 Multiplication involving binomials and trinomials in two variables alge737 Introduction to the LCM of two monomials alge055 Least common multiple of two monomials alge736 Introduction to the GCF of two monomials alge037 Greatest common factor of two multivariate monomials alge738 Factoring out a monomial from a polynomial: Univariate alge039 Factoring a quadratic with leading coefficient 1 alge944 Factoring a perfect square trinomial with leading coefficient 1 alge290 Factoring a difference of squares in one variable: Basic alge947 Factoring a difference of squares in one variable: Advanced alge045 Finding the roots of a quadratic equation with leading coefficient 1 arith016 Square root of a perfect square arith601 Square root of a rational perfect square alge413 Finding all square roots of a number arith760 Square roots of perfect squares with signs arith763 Using a calculator to approximate a square root arith602 Estimating a square root alge567 Using numerical methods to approximate a square root to the nearest tenth alge568 Using numerical methods to approximate a square root to the nearest hundredth arith515 Approximating the location of irrational numbers on a number line arith712 Ordering real numbers alge001 Identifying numbers as integers or non-integers arith513 Identifying rational decimal numbers arith514 Converting a repeating decimal to a fraction arith432 Identifying true statements about rational and irrational numbers alge002 Identifying numbers as rational or irrational alge415 Introduction to simplifying a radical expression with an even exponent alge264 Square root of a perfect square monomial arith093 Simplifying the square root of a whole number less than 100 arith762 Simplifying the square root of a whole number greater than 100 alge080 Simplifying a radical expression with an even exponent arith767 Introduction to square root addition or subtraction arith032 Square root addition or subtraction arith764 Introduction to square root multiplication arith765 Square root multiplication: Basic alge962 Solving an equation of the form x2 = a using the square root property geom564 Finding side lengths of squares given an area and a perimeter alge400 Introduction to solving a radical equation alge089 Solving a radical equation that simplifies to a linear equation: One radical, basic alge542 Word problem involving radical equations: Basic arith094 Cube root of an integer alge698 Solving an equation of the form x3 = a using integers alge093 Solving an equation using the odd-root property: Problem type 1 geom565 Finding the side length of a cube given its volume alge560 Rational exponents: Unit fraction exponents and whole number bases alge250 Rational exponents: Non-unit fraction exponent with a whole number base alge407 Introduction to the Pythagorean Theorem geom044 Pythagorean Theorem alge408 Word problem involving the Pythagorean Theorem geom862 Using the Pythagorean Theorem repeatedly alge675 Using the Pythagorean Theorem to find distance on a grid alge132 Distance between two points in the plane

367

368 APPENDIX B. PROGRAMS IN ALEKS

Angles, Lines, and Polygons geom151 Measuring an angle with the protractor geom152 Drawing an angle with the protractor geom303 Acute, obtuse, and right angles geom039 Finding supplementary and complementary angles geom551 Finding the complement or supplement of an angle given a figure geom552 Solving an equation involving complementary or supplementary angles geom305 Identifying supplementary and vertical angles geom553 Finding angle measures given two intersecting lines geom530 Solving equations involving vertical angles geom304 Identifying corresponding and alternate angles geom349 Naming segments, rays, and lines geom554 Finding angle measures given two parallel lines cut by a transversal geom531 Solving equations involving angles and parallel lines geom584 Establishing facts about the angles created when parallel lines are cut by a transversal geom154 Constructing the perpendicular bisector of a line segment geom158 Constructing an angle bisector geom159 Constructing congruent angles geom150 Constructing a pair of perpendicular lines geom157 Constructing a pair of parallel lines geom306 Acute, obtuse, and right triangles geom307 Scalene, isosceles, and equilateral triangles geom001 Finding an angle measure of a triangle given two angles geom860 Special right triangles geom908 Finding an angle measure for a triangle with an extended side geom812 Finding an angle measure given extended triangles geom813 Finding an angle measure given a triangle and parallel lines geom623 Finding angle measures of a triangle given angles with variables geom502 Finding angle measures of a right or isosceles triangle given angles with variables geom309 Finding an angle measure for a triangle sharing a side with another triangle geom586 Establishing facts about the interior angles of a triangle geom587 Establishing facts about the interior and exterior angles of a triangle geom543 Drawing a circle with a given radius or diameter geom544 Creating triangles from given side lengths: Problem type 1 geom634 Creating triangles from given side lengths: Problem type 2 geom844 Triangle inequality: Problem type 1 geom548 Determining if a triangle is possible based on given angle measures geom549 Determining if given measurements define a unique triangle, more than one triangle, or no triangle geom546 Drawing triangles with given conditions: Angle measures geom547 Drawing triangles with given conditions: Side lengths and angle measures geom545 Drawing triangles with given side lengths using a compass pcalc609 Sine, cosine, and tangent ratios: Numbers for side lengths pcalc600 Sine, cosine, and tangent ratios: Variables for side lengths pcalc616 Using a calculator to approximate sine, cosine, and tangent values pcalc606 Using the Pythagorean Theorem to find a trigonometric ratio pcalc607 Using a trigonometric ratio to find a side length in a right triangle pcalc610 Using trigonometry to find distances pcalc608 Using a trigonometric ratio to find an angle measure in a right triangle pcalc611 Using trigonometry to find angles of elevation or depression geom361 Naming polygons mstat042 Interpreting a Venn diagram of 2 sets geom536 Drawing and identifying a polygon in the coordinate plane geom867 Identifying parallelograms, rectangles, and squares geom310 Classifying quadrilaterals geom532 Classifying parallelograms geom818 Finding the coordinates of a point to make a parallelogram geom870 Sum of the angle measures of a quadrilateral geom852 The sum of interior angle measures in a convex polygon

B.18. FOUNDATIONS OF H.S. MATH

Transformations geom519 Identifying and naming congruent parts of congruent triangles geom520 Identifying and naming congruent triangles geom583 Finding angle measures of a triangle given two angles of a similar triangle geom585 Finding angle measures and side ratios to determine if two triangles are similar geom357 Identifying transformations geom596 Translating a point and giving its coordinates: One step geom909 Translating a point and giving its coordinates: Two steps geom597 Properties of translated figures geom598 Determining if figures are related by a translation geom330 Translating a polygon geom331 Using a translated point to find coordinates of other translated points arith408 Reflecting a point across an axis geom533 Reflecting a point across both coordinate axes geom590 Reflecting a point across an axis and giving its coordinates arith407 Coordinates of a point reflected across an axis geom560 Coordinates of a point reflected across both axes geom534 Reflecting a polygon across the x-axis or y-axis geom591 Properties of reflected figures geom592 Determining if figures are related by a reflection geom332 Reflecting a polygon over a vertical or horizontal line geom333 Finding the coordinates of three points reflected over an axis geom334 Drawing lines of symmetry geom602 Finding the coordinates of a point reflected across an axis and translated geom815 Finding an angle of rotation geom624 Identifying rotational symmetry and angles of rotation geom593 Rotating a point and giving its coordinates geom594 Properties of rotated figures geom595 Determining if figures are related by a rotation geom335 Rotating a figure about the origin geom580 Determining if figures are congruent and related by a transformation geom581 Determining if figures are congruent and related by two transformations geom606 Dilating a segment and giving the coordinates of its endpoints geom607 The effect of dilation on side length geom608 Determining if figures are related by a dilation geom636 The effect of dilation on area geom336 Dilating a figure geom582 Determining if figures are similar and related by two transformations

Perimeters, Areas, and Volumes geom618 Perimeter of a polygon involving mixed numbers and fractions geom078 Sides of polygons having the same perimeter geom221 Finding the missing length in a figure geom353 Perimeter of a piecewise rectangular figure alge615 Writing algebraic expressions for the perimeter of a figure geom817 Finding a side length given the perimeter and side lengths with variables geom217 Finding the side length of a rectangle given its perimeter or area geom561 Finding the dimensions of a rectangle given its perimeter and a relationship between sides geom620 Area of a rectangle involving fractions geom619 Area of a rectangle involving mixed numbers and fractions geom350 Distinguishing between area and perimeter geom351 Areas of rectangles with the same perimeter geom869 Estimates and exact answers alge616 Writing algebraic expressions for the area of a figure geom410 Word problem involving the area of a square or a rectangle geom143 Finding the perimeter or area of a rectangle given one of these values geom340 Area of a piecewise rectangular figure

369

370 APPENDIX B. PROGRAMS IN ALEKS geom562 Area between two rectangles geom142 Word problem involving the area between two rectangles geom501 Finding the area of a right triangle on a grid geom509 Finding the area of a right triangle or its corresponding rectangle geom801 Area of a triangle geom517 Finding the area of a trapezoid on a grid by using triangles and rectangles geom344 Area involving rectangles and triangles alge724 Finding an area in terms of variables geom022 Area of a parallelogram geom023 Area of a trapezoid geom537 Finding the perimeter or area of a rectangle in the coordinate plane geom832 Area of quadrilaterals in the coordinate plane geom603 Identifying side lengths that give right triangles geom589 Demonstrating the converse of the Pythagorean Theorem geom588 Informal proof of the Pythagorean Theorem geom347 Introduction to a circle: Diameter, radius, and chord geom343 Identifying central angles, inscribed angles, arcs, chords, and tangents of a circle geom016 Circumference of a circle geom218 Finding the radius or the diameter of a circle given its circumference geom838 Circumference ratios geom301 Perimeter involving rectangles and circles geom026 Area of a circle geom802 Circumference and area of a circle geom570 Distinguishing between the area and circumference of a circle geom302 Area involving rectangles and circles geom563 Area between two concentric circles geom036 Word problem involving the area between two concentric circles geom214 Area involving inscribed figures geom126 Area of a sector of a circle geom868 Classifying solids geom348 Vertices, edges, and faces of a solid geom830 Counting the cubes in a solid made of cubes geom816 Side views of a solid made of cubes geom550 Identifying horizontal and vertical cross sections of solids geom354 Volume of a rectangular prism made of unit cubes geom518 Volume of a solid made of cubes with unit fraction edge lengths geom535 Volume of a rectangular prism with fractional edge lengths alge617 Writing equivalent expressions for the volume of a rectangular prism geom571 Word problem involving the volume of a rectangular prism geom558 Word problem involving the rate of filling or emptying a rectangular prism geom505 Volume of a piecewise rectangular prism geom090 Volume of a triangular prism geom572 Word problem involving the volume of a triangular prism geom033 Volume of a pyramid geom637 Relating the volumes of a rectangular prism and a rectangular pyramid geom638 Relating the volumes of a triangular prism and a triangular pyramid geom035 Volume of a cylinder geom573 Word problem involving the volume of a cylinder geom092 Word problem involving the rate of filling or emptying a cylinder geom622 Volume of a cone geom086 Volume of a cone: Exact answers in terms of pi geom639 Relating the volumes of a cylinder and a cone geom575 Word problem involving the volume of a cone geom841 Volume of a sphere geom574 Word problem involving the volume of a sphere geom133 Ratio of volumes geom219 Nets of solids geom031 Surface area of a cube or a rectangular prism geom632 Surface area of a rectangular prism made of unit cubes geom555 Distinguishing between surface area and volume geom556 Using a net to find the surface area of a rectangular prism geom576 Word problem involving the surface area of a rectangular prism

B.18. FOUNDATIONS OF H.S. MATH geom345 Surface area of a piecewise rectangular prism made of unit cubes geom091 Surface area of a triangular prism geom557 Using a net to find the surface area of a triangular prism geom621 Surface area of a cylinder geom034 Surface area of a cylinder: Exact answers in terms of pi geom578 Word problem involving the surface area of a cylinder geom842 Surface area of a sphere geom338 Surface area involving prisms or cylinders geom846 Similar solids: Problem type 1 geom847 Similar solids: Problem type 2

Data Analysis and Probability mstat088 Identifying statistical questions mstat080 Choosing an appropriate method for gathering data: Problem type 1 mstat081 Choosing an appropriate method for gathering data: Problem type 2 mstat056 Interpreting a tally table mstat097 Constructing a two-way frequency table: Basic mstat098 Constructing a two-way frequency table: Advanced mstat049 Computing a percentage from a table of values mstat087 Making an inference using a two-way frequency table stat020 Calculating relative frequencies in a contingency table mstat025 Finding if a question can be answered by the data mstat037 Constructing a line plot mstat005 Constructing a bar graph for non-numerical data mstat004 Constructing a histogram for numerical data mstat024 Interpreting a bar graph mstat044 Interpreting a double bar graph mstat057 Interpreting a pictograph table mstat031 Interpreting a stem-and-leaf plot geom814 Angle measure in a circle graph mstat094 Constructing a scatter plot mstat030 Sketching the line of best fit mstat023 Scatter plots and correlation mstat068 Predictions from the line of best fit mstat067 Approximating the equation of a line of best fit and making predictions mstat093 Classifying linear and nonlinear relationships from scatter plots mstat071 Linear relationship and the correlation coefficient mstat096 Identifying outliers and clustering in scatter plots mstat003 Mode of a data set mstat055 Finding the mode and range of a data set mstat092 Finding the mode and range from a line plot mstat001 Mean of a data set mstat077 Using a model to find the mean mstat075 Understanding the mean graphically: Two bars mstat076 Understanding the mean graphically: Four or more bars mstat091 Finding the mean of a symmetric distribution mstat079 Finding sample size and comparing samples for estimating the mean mstat089 Computations involving the mean, sample size, and sum of a data set stat803 Finding the value for a new score that will yield a given mean stat802 Rejecting unreasonable claims based on average statistics mstat066 Weighted mean mstat028 Mean and median of a data set mstat029 How changing a value affects the mean and median mstat095 Finding outliers in a data set mstat053 Choosing the best measure to describe data mstat078 Comparing measures of center and variation mstat027 Using back-to-back stem-and-leaf plots to compare data sets mstat072 Five-number summary and interquartile range mstat006 Constructing a box-and-whisker plot

371

372 APPENDIX B. PROGRAMS IN ALEKS mstat073 Using box-and-whisker plots to compare data sets mstat090 Comparing sample means mstat082 Computing mean absolute deviation from a list of numerical values mstat083 Computing mean absolute deviation from a bar graph mstat084 Assessing the degree of overlap of two distributions mstat043 Interpreting a Venn diagram of 3 sets mstat041 Interpreting a tree diagram mstat040 Introduction to the counting principle mstat015 Counting principle mstat099 Determining a sample space and outcomes for a simple event mstat100 Determining a sample space and outcomes for a compound event pcalc082 Factorial expressions mstat017 Computing permutations and combinations mstat008 Word problem involving permutations mstat009 Word problem involving combinations mstat054 Classifying likelihood mstat026 Introduction to the probability of an event mstat010 Probability of an event mstat039 Understanding likelihood mstat048 Odds of an event stat106 Outcomes and event probability stat112 Probabilities involving two dice mstat011 Area as probability mstat046 Experimental and theoretical probability mstat047 Introduction to expectation mstat012 Probability of independent events mstat013 Probability of dependent events mstat085 Identifying outcomes in a random number table used to simulate a compound event mstat086 Using a random number table to simulate a compound event

## B.19

## Algebra Readiness

Whole Numbers and Integers arith630 Addition with carry to the hundreds place arith012 Addition of large numbers arith006 Subtraction with borrowing arith637 Subtraction and regrouping with zeros arith613 Word problem with addition or subtraction of whole numbers arith004 Multiplication with carry arith615 Introduction to multiplication of large numbers arith014 Multiplication of large numbers arith005 Division with carry arith617 Quotient and remainder: Problem type 2 arith631 Quotient and remainder: Problem type 3 arith023 Word problem with division of whole numbers and rounding arith614 Word problem with multiplication or division of whole numbers arith066 Expanded form arith028 Numeral translation: Problem type 1 arith060 Numeral translation: Problem type 2 arith077 Ordering large numbers arith078 Rounding to tens or hundreds arith061 Rounding to thousands, ten thousands, or hundred thousands arith101 Estimating a sum of whole numbers arith102 Estimating a difference of whole numbers arith677 Estimating a product arith678 Estimating a quotient arith103 Average of two numbers

B.19. ALGEBRA READINESS arith681 Introduction to order of operations arith048 Order of operations with whole numbers arith051 Order of operations with whole numbers and grouping symbols arith056 Factors arith034 Prime numbers arith035 Prime factorization arith033 Greatest common factor of 2 numbers arith070 Least common multiple of 2 numbers arith240 Word problem with common multiples arith647 Divisibility rules for 2, 5, and 10 arith648 Divisibility rules for 3 and 9 unit005 U.S. Customary unit conversion with whole number values unit006 U.S. Customary unit conversion with whole number values: Two-step conversion unit009 U.S. Customary area unit conversion with whole number values unit001 Metric distance conversion with whole number values unit002 Metric mass or capacity conversion with whole number values unit012 Time unit conversion with whole number values mstat038 Reading the temperature from a thermometer alge286 Plotting integers on a number line arith071 Absolute value of a number arith104 Operations with absolute value: Problem type 2 arith200 Integer addition: Problem type 1 arith108 Integer addition: Problem type 2 arith688 Integer subtraction: Problem type 1 arith689 Integer subtraction: Problem type 2 arith690 Integer subtraction: Problem type 3 arith231 Integer multiplication and division

Rational Numbers arith623 Introduction to fractions arith663 Writing ratios for real-world situations arith665 Understanding equivalent fractions arith212 Equivalent fractions arith067 Simplifying a fraction arith687 Fractional position on a number line arith667 Plotting fractions on a number line arith605 Plotting rational numbers on a number line arith044 Ordering fractions with the same denominator arith091 Ordering fractions with the same numerator arith092 Using a common denominator to order fractions arith618 Addition or subtraction of fractions with the same denominator arith230 Addition or subtraction of fractions with different denominators arith100 Fractional part of a circle arith088 The reciprocal of a number arith079 Product of a unit fraction and a whole number arith009 Unit fraction multiplication arith086 Product of a fraction and a whole number: Problem type 1 arith053 Fraction multiplication arith095 Multi-step word problem involving fractions and multiplication arith022 Fraction division arith106 Signed fraction addition or subtraction: Advanced arith105 Signed fraction multiplication: Advanced arith662 Writing a mixed number and an improper fraction for a shaded region arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction arith215 Addition or subtraction of mixed numbers with the same denominator arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing arith085 Addition or subtraction of mixed numbers with different denominators

373

374 APPENDIX B. PROGRAMS IN ALEKS arith020 Mixed number multiplication: Problem type 1 arith076 Mixed number multiplication: Problem type 2 arith068 Mixed number division arith220 Decimal place value: Hundreds to ten thousandths arith221 Rounding decimals arith608 Ordering decimals arith609 Ordering fractions and decimals arith624 Addition of aligned decimals arith625 Subtraction of aligned decimals arith626 Word problem with one decimal operation: Problem type 1 arith627 Word problem with one decimal operation: Problem type 2 arith234 Signed decimal addition and subtraction with 3 numbers arith082 Multiplication of a decimal by a power of ten arith017 Multiplication of a decimal by a whole number arith055 Decimal multiplication: Problem type 1 arith045 Word problem with powers of ten arith628 Word problem with multiple decimal operations: Problem type 1 arith083 Division of a decimal by a power of ten arith081 Division of a decimal by a whole number arith019 Division of a decimal by a 2-digit decimal arith087 Converting a decimal to a proper fraction in simplest form: Advanced arith222 Converting a fraction to a terminating decimal arith089 Converting a fraction to a repeating decimal arith223 Converting a mixed number to a decimal unit007 U.S. Customary unit conversion with mixed number values: One-step conversion unit008 U.S. Customary unit conversion with mixed number values: Two-step conversion unit003 Metric distance conversion with decimal values unit004 Metric conversion with decimal values: Two-step problem unit010 Metric area unit conversion with decimal values

Proportion, Percent, Data and Probability arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers alge218 Solving a word problem involving rates and time conversion alge272 Solving a proportion of the form x/a = b/c alge271 Solving a proportion of the form a/(x+b) = c/x arith064 Solving a word problem on proportions using a unit rate arith610 Word problem on proportions: Problem type 1 arith611 Word problem on proportions: Problem type 2 alge220 Word problem on inverse proportions unit034 Converting between metric and U.S. Customary unit systems unit035 Converting between compound units: Basic unit036 Converting between compound units: Advanced arith674 Finding the percentage of a grid that is shaded arith226 Converting between percentages and decimals arith090 Converting a percentage to a fraction in simplest form arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50 arith030 Finding a percentage of a whole number without a calculator: Basic arith069 Writing a ratio as a percentage without a calculator arith074 Finding the sale price without a calculator given the original price and percent discount arith031 Finding the original price given the sale price and percent discount arith225 Finding the percentage increase or decrease: Advanced arith232 Finding simple interest without a calculator mstat049 Computing a percentage from a table of values mstat037 Constructing a line plot mstat004 Constructing a histogram for numerical data mstat005 Constructing a bar graph for non-numerical data mstat024 Interpreting a bar graph mstat044 Interpreting a double bar graph mstat007 Interpreting a line graph

B.19. ALGEBRA READINESS stat804 Interpreting a circle graph or pie chart geom814 Angle measure in a circle graph mstat003 Mode of a data set mstat028 Mean and median of a data set stat803 Finding the value for a new score that will yield a given mean mstat029 How changing a value affects the mean and median mstat053 Choosing the best measure to describe data stat802 Rejecting unreasonable claims based on average statistics mstat031 Interpreting a stem-and-leaf plot mstat027 Using back-to-back stem-and-leaf plots to compare data sets mstat006 Constructing a box-and-whisker plot mstat023 Scatter plots and correlation mstat030 Sketching the line of best fit mstat043 Interpreting a Venn diagram of 3 sets mstat041 Interpreting a tree diagram mstat040 Introduction to the counting principle mstat015 Counting principle mstat008 Word problem involving permutations mstat009 Word problem involving combinations mstat048 Odds of an event stat106 Outcomes and event probability mstat026 Introduction to the probability of an event mstat010 Probability of an event mstat011 Area as probability mstat012 Probability of independent events mstat013 Probability of dependent events stat112 Probabilities involving two dice mstat046 Experimental and theoretical probability mstat047 Introduction to expectation

Variable Expressions and Equations arith655 Introduction to properties of addition arith656 Introduction to properties of multiplication arith657 Understanding the distributive property alge606 Distributive property: Whole number coefficients alge604 Distributive property: Integer coefficients alge607 Combining like terms: Integer coefficients alge663 Combining like terms: Advanced alge001 Identifying numbers as integers or non-integers alge002 Identifying numbers as rational or irrational alge731 Evaluating an algebraic expression: Whole numbers with two operations alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction alge004 Evaluating a quadratic expression: Integers alge602 Writing a one-step variable expression for a real-world situation alge009 Additive property of equality with whole numbers alge800 Additive property of equality with decimals alge801 Additive property of equality with fractions and mixed numbers alge010 Additive property of equality with integers alge266 Additive property of equality with a negative coefficient alge008 Multiplicative property of equality with whole numbers alge012 Multiplicative property of equality with signed fractions alge006 Solving a two-step equation with integers alge208 Solving a two-step equation with signed fractions alge200 Solving an equation to find the value of an expression alge011 Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution alge061 Solving a linear equation with several occurrences of the variable: Variables on both sides and fractional coefficients alge013 Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution

375

376 APPENDIX B. PROGRAMS IN ALEKS alge209 Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions alge016 Translating a sentence into a one-step equation alge802 Solving a fraction word problem using a linear equation of the form Ax = B alge014 Solving a word problem with two unknowns using a linear equation alge219 Solving a decimal word problem using a linear equation with the variable on both sides alge173 Solving a decimal word problem using a linear equation of the form Ax + B = C alge704 Solving a fraction word problem using a linear equation with the variable on both sides alge810 Introduction to algebraic symbol manipulation alge160 Algebraic symbol manipulation alge015 Translating a sentence by using an inequality symbol alge186 Translating a sentence into a compound inequality alge019 Solving a linear inequality: Problem type 1 alge020 Solving a linear inequality: Problem type 2 alge021 Solving a linear inequality: Problem type 3 alge207 Solving a linear inequality: Problem type 4 alge017 Graphing a linear inequality on the number line alge166 Graphing a compound inequality on the number line

Functions and Graphs alge282 Function tables with two-step rules fun001 Table for a linear function fun005 Writing a function rule given a table of ordered pairs: One-step rules fun006 Writing a function rule given a table of ordered pairs: Two-step rules alge064 Reading a point in the coordinate plane alge067 Plotting a point in the coordinate plane fun002 Graphing integer functions fun010 Vertical line test mstat051 Choosing a graph to fit a narrative : Advanced alge263 Interpreting the graphs of two functions alge807 Finding the next terms of a sequence with whole numbers pcalc085 Finding a specified term of an arithmetic sequence given the common difference and first term pcalc086 Finding a specified term of a geometric sequence given the common ratio and first term pcalc713 Arithmetic and geometric sequences: Identifying and writing an explicit rule alge197 Graphing a line given its x- and y-intercepts alge194 Graphing a line given its equation in slope-intercept form alge195 Graphing a line given its equation in standard form alge196 Graphing a line through a given point with a given slope alge198 Graphing a vertical or horizontal line alge191 Midpoint of a line segment in the plane alge066 Finding a solution to a linear equation in two variables alge216 Determining whether given points lie on one, both, or neither of 2 lines given equations alge210 Finding x- and y-intercepts of a line given the equation: Advanced alge684 Finding slope given the graph of a line on a grid alge685 Finding slope given two points on the line alge631 Finding the slope of a line given its equation alge070 Writing an equation of a line given the y-intercept and another point alge071 Writing the equation of a line given the slope and a point on the line alge072 Writing the equation of the line through two given points alge701 Writing an equation and drawing its graph to model a real-world situation: Advanced alge725 Graphically solving a system of linear equations alge018 Graphing a linear inequality in the plane: Standard form alge225 Graphing a linear inequality in the plane: Vertical or horizontal line alge720 Graphing a linear inequality in the plane: Slope-intercept form alge252 Graphing a parabola of the form y = ax2 alge262 Graphing a cubic function of the form y = ax3 alge132 Distance between two points in the plane

Exponents and Polynomials

B.19. ALGEBRA READINESS arith233 Introduction to exponents arith047 Evaluating expressions with exponents: Problem type 1 arith049 Evaluating expressions with exponents: Problem type 2 arith600 Order of operations with integers and exponents arith042 Evaluating an expression with a negative exponent: Positive fraction base arith043 Evaluating an expression with a negative exponent: Negative integer base arith029 Ordering numbers with positive exponents arith024 Ordering numbers with negative exponents arith036 Scientific notation with positive exponent arith037 Scientific notation with negative exponent scinot002 Multiplying and dividing numbers written in scientific notation alge024 Introduction to the product rule of exponents alge030 Product rule with positive exponents: Multivariate alge026 Quotient of expressions involving exponents alge027 Power rules with positive exponents alge025 Power of a power rule with negative exponents arith016 Square root of a perfect square arith601 Square root of a rational perfect square arith602 Estimating a square root arith093 Simplifying the square root of a whole number less than 100 alge264 Square root of a perfect square monomial alge080 Simplifying a radical expression with an even exponent arith094 Cube root of an integer alge029 Simplifying a sum or difference of three univariate polynomials alge033 Multiplying binomials with leading coefficients of 1 alge032 Squaring a binomial: Univariate alge180 Multiplication involving binomials and trinomials in two variables alge037 Greatest common factor of two multivariate monomials alge055 Least common multiple of two monomials alge031 Degree of a multivariate polynomial

Geometry geom349 Naming segments, rays, and lines geom151 Measuring an angle with the protractor geom152 Drawing an angle with the protractor geom303 Acute, obtuse, and right angles geom039 Finding supplementary and complementary angles geom304 Identifying corresponding and alternate angles geom305 Identifying supplementary and vertical angles geom530 Solving equations involving vertical angles geom531 Solving equations involving angles and parallel lines geom159 Constructing congruent angles geom158 Constructing an angle bisector geom154 Constructing the perpendicular bisector of a line segment geom150 Constructing a pair of perpendicular lines geom157 Constructing a pair of parallel lines geom306 Acute, obtuse, and right triangles geom307 Scalene, isosceles, and equilateral triangles geom844 Triangle inequality: Problem type 1 geom801 Area of a triangle geom001 Finding an angle measure of a triangle given two angles geom908 Finding an angle measure for a triangle with an extended side geom044 Pythagorean Theorem pcalc600 Sine, cosine, and tangent ratios: Variables for side lengths pcalc607 Using a trigonometric ratio to find a side length in a right triangle pcalc610 Using trigonometry to find distances pcalc608 Using a trigonometric ratio to find an angle measure in a right triangle pcalc611 Using trigonometry to find angles of elevation or depression geom310 Classifying quadrilaterals

377

378 APPENDIX B. PROGRAMS IN ALEKS geom532 Classifying parallelograms geom300 Perimeter of a square or a rectangle geom339 Perimeter of a polygon geom817 Finding a side length given the perimeter and side lengths with variables geom078 Sides of polygons having the same perimeter geom217 Finding the side length of a rectangle given its perimeter or area geom350 Distinguishing between area and perimeter geom351 Areas of rectangles with the same perimeter geom353 Perimeter of a piecewise rectangular figure geom019 Area of a square or a rectangle geom340 Area of a piecewise rectangular figure geom022 Area of a parallelogram geom023 Area of a trapezoid geom142 Word problem involving the area between two rectangles geom344 Area involving rectangles and triangles geom143 Finding the perimeter or area of a rectangle given one of these values geom832 Area of quadrilaterals in the coordinate plane geom852 The sum of interior angle measures in a convex polygon geom347 Introduction to a circle: Diameter, radius, and chord geom016 Circumference of a circle geom802 Circumference and area of a circle geom218 Finding the radius or the diameter of a circle given its circumference geom838 Circumference ratios geom301 Perimeter involving rectangles and circles geom036 Word problem involving the area between two concentric circles geom302 Area involving rectangles and circles geom214 Area involving inscribed figures geom311 Volume of a rectangular prism geom505 Volume of a piecewise rectangular prism geom090 Volume of a triangular prism geom033 Volume of a pyramid geom035 Volume of a cylinder geom092 Word problem involving the rate of filling or emptying a cylinder geom086 Volume of a cone: Exact answers in terms of pi geom841 Volume of a sphere geom348 Vertices, edges, and faces of a solid geom816 Side views of a solid made of cubes geom830 Counting the cubes in a solid made of cubes geom219 Nets of solids geom345 Surface area of a piecewise rectangular prism made of unit cubes geom031 Surface area of a cube or a rectangular prism geom091 Surface area of a triangular prism geom034 Surface area of a cylinder: Exact answers in terms of pi geom338 Surface area involving prisms or cylinders geom842 Surface area of a sphere geom037 Similar polygons geom038 Similar right triangles geom337 Indirect measurement geom846 Similar solids: Problem type 1 geom357 Identifying transformations geom330 Translating a polygon geom331 Using a translated point to find coordinates of other translated points geom332 Reflecting a polygon over a vertical or horizontal line geom333 Finding the coordinates of three points reflected over an axis geom334 Drawing lines of symmetry geom335 Rotating a figure about the origin geom336 Dilating a figure

B.20. ALGEBRA 1A

## B.20

## Algebra 1A

Arithmetic Readiness arith078 Rounding to tens or hundreds arith123 Rounding to hundreds or thousands arith101 Estimating a sum of whole numbers arith233 Introduction to exponents arith692 Writing expressions using exponents arith048 Order of operations with whole numbers arith051 Order of operations with whole numbers and grouping symbols arith693 Order of operations with whole numbers and exponents: Basic arith713 Order of operations with whole numbers and exponents: Advanced alge731 Evaluating an algebraic expression: Whole numbers with two operations alge832 Evaluating an algebraic expression: Whole number operations and exponents arith056 Factors arith034 Prime numbers arith035 Prime factorization arith033 Greatest common factor of 2 numbers arith070 Least common multiple of 2 numbers arith240 Word problem with common multiples arith212 Equivalent fractions arith067 Simplifying a fraction arith092 Using a common denominator to order fractions arith618 Addition or subtraction of fractions with the same denominator arith801 Finding the LCD of two fractions arith664 Introduction to addition or subtraction of fractions with different denominators arith230 Addition or subtraction of fractions with different denominators arith100 Fractional part of a circle arith079 Product of a unit fraction and a whole number arith086 Product of a fraction and a whole number: Problem type 1 arith119 Introduction to fraction multiplication arith053 Fraction multiplication arith088 The reciprocal of a number arith694 Division involving a whole number and a fraction arith022 Fraction division arith697 Mixed arithmetic operations with fractions arith095 Multi-step word problem involving fractions and multiplication arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing arith085 Addition or subtraction of mixed numbers with different denominators arith020 Mixed number multiplication: Problem type 1 arith068 Mixed number division arith110 Decimal place value: Tenths and hundredths arith221 Rounding decimals arith129 Introduction to ordering decimals arith608 Ordering decimals arith609 Ordering fractions and decimals arith222 Converting a fraction to a terminating decimal arith089 Converting a fraction to a repeating decimal arith087 Converting a decimal to a proper fraction in simplest form: Advanced arith624 Addition of aligned decimals arith625 Subtraction of aligned decimals arith131 Estimating a decimal sum or difference arith017 Multiplication of a decimal by a whole number arith082 Multiplication of a decimal by a power of ten arith055 Decimal multiplication: Problem type 1 arith081 Division of a decimal by a whole number arith083 Division of a decimal by a power of ten

379

380 APPENDIX B. PROGRAMS IN ALEKS arith019 Division of a decimal by a 2-digit decimal arith626 Word problem with one decimal operation: Problem type 1 arith627 Word problem with one decimal operation: Problem type 2 arith628 Word problem with multiple decimal operations: Problem type 1 arith016 Square root of a perfect square arith602 Estimating a square root arith601 Square root of a rational perfect square arith094 Cube root of an integer arith683 Power of 10: Positive exponent arith684 Power of 10: Negative exponent arith036 Scientific notation with positive exponent arith037 Scientific notation with negative exponent geom339 Perimeter of a polygon geom300 Perimeter of a square or a rectangle geom019 Area of a square or a rectangle geom221 Finding the missing length in a figure geom340 Area of a piecewise rectangular figure geom142 Word problem involving the area between two rectangles geom801 Area of a triangle geom022 Area of a parallelogram geom023 Area of a trapezoid geom016 Circumference of a circle geom301 Perimeter involving rectangles and circles geom838 Circumference ratios geom802 Circumference and area of a circle geom302 Area involving rectangles and circles geom036 Word problem involving the area between two concentric circles geom214 Area involving inscribed figures geom031 Surface area of a cube or a rectangular prism geom091 Surface area of a triangular prism geom034 Surface area of a cylinder: Exact answers in terms of pi geom842 Surface area of a sphere geom311 Volume of a rectangular prism geom090 Volume of a triangular prism geom033 Volume of a pyramid geom035 Volume of a cylinder geom092 Word problem involving the rate of filling or emptying a cylinder geom086 Volume of a cone: Exact answers in terms of pi geom841 Volume of a sphere geom039 Finding supplementary and complementary angles

Real Numbers alge001 Identifying numbers as integers or non-integers alge002 Identifying numbers as rational or irrational mstat038 Reading the temperature from a thermometer arith699 Writing a signed number for a real-world situation alge286 Plotting integers on a number line arith687 Fractional position on a number line arith605 Plotting rational numbers on a number line arith691 Ordering integers arith712 Ordering real numbers arith200 Integer addition: Problem type 1 arith108 Integer addition: Problem type 2 arith688 Integer subtraction: Problem type 1 arith689 Integer subtraction: Problem type 2 arith690 Integer subtraction: Problem type 3 arith701 Word problem with addition or subtraction of integers arith116 Signed fraction addition or subtraction: Basic arith106 Signed fraction addition or subtraction: Advanced

B.20. ALGEBRA 1A arith117 Signed decimal addition and subtraction arith234 Signed decimal addition and subtraction with 3 numbers arith231 Integer multiplication and division arith800 Multiplication of 3 or 4 integers arith822 Signed fraction multiplication: Basic arith105 Signed fraction multiplication: Advanced alge984 Classifying sums and products as rational or irrational arith702 Exponents and integers: Problem type 1 arith703 Exponents and integers: Problem type 2 arith704 Exponents and signed fractions arith118 Order of operations with integers arith600 Order of operations with integers and exponents alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction alge004 Evaluating a quadratic expression: Integers arith071 Absolute value of a number arith104 Operations with absolute value: Problem type 2 geom525 Computing distances between decimals on the number line alge187 Properties of addition alge188 Properties of real numbers arith657 Understanding the distributive property alge606 Distributive property: Whole number coefficients alge604 Distributive property: Integer coefficients alge700 Combining like terms: Whole number coefficients alge607 Combining like terms: Integer coefficients alge663 Combining like terms: Advanced alge293 Combining like terms in a quadratic expression

Linear Equations alge009 Additive property of equality with whole numbers alge801 Additive property of equality with fractions and mixed numbers alge800 Additive property of equality with decimals alge010 Additive property of equality with integers alge266 Additive property of equality with a negative coefficient alge836 Additive property of equality with signed fractions alge008 Multiplicative property of equality with whole numbers alge820 Multiplicative property of equality with fractions alge825 Multiplicative property of equality with decimals alge797 Multiplicative property of equality with integers alge012 Multiplicative property of equality with signed fractions alge834 Identifying solutions to a linear equation in one variable: Two-step equations alge803 Using two steps to solve an equation with whole numbers alge006 Solving a two-step equation with integers alge837 Solving a multi-step equation given in fractional form alge208 Solving a two-step equation with signed fractions alge824 Solving a two-step equation with signed decimals alge200 Solving an equation to find the value of an expression alge920 Introduction to solving an equation with parentheses alge838 Introduction to solving an equation with variables on the same side alge862 Solving a linear equation with several occurrences of the variable: Variables on the same side alge863 Solving a linear equation with several occurrences of the variable: Variables on both sides alge011 Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution alge013 Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution alge209 Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions alge061 Solving a linear equation with several occurrences of the variable: Variables on both sides and fractional coefficients alge179 Solving a linear equation with several occurrences of the variable: Fractional forms with binomial numerators

381

382 APPENDIX B. PROGRAMS IN ALEKS alge742 Solving equations with zero, one, or infinitely many solutions alge986 Identifying properties used to solve a linear equation alge810 Introduction to algebraic symbol manipulation alge743 Algebraic symbol manipulation: Problem type 1 alge744 Algebraic symbol manipulation: Problem type 2 alge831 Translating a phrase into a one-step expression alge733 Writing a one-step expression for a real-world situation alge291 Translating a phrase into a two-step expression alge016 Translating a sentence into a one-step equation alge841 Translating a sentence into a multi-step equation alge730 Writing a multi-step equation for a real-world situation alge802 Solving a fraction word problem using a linear equation of the form Ax = B alge014 Solving a word problem with two unknowns using a linear equation alge173 Solving a decimal word problem using a linear equation of the form Ax + B = C alge219 Solving a decimal word problem using a linear equation with the variable on both sides alge704 Solving a fraction word problem using a linear equation with the variable on both sides alge792 Solving a word problem with three unknowns using a linear equation alge842 Solving a word problem involving consecutive integers alge794 Solving a value mixture problem using a linear equation alge795 Solving a percent mixture problem using a linear equation arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers alge823 Solving a one-step word problem using the formula d = rt alge218 Solving a word problem involving rates and time conversion alge796 Solving a distance, rate, time problem using a linear equation geom817 Finding a side length given the perimeter and side lengths with variables geom217 Finding the side length of a rectangle given its perimeter or area geom143 Finding the perimeter or area of a rectangle given one of these values geom530 Solving equations involving vertical angles geom001 Finding an angle measure of a triangle given two angles geom502 Finding angle measures of a right or isosceles triangle given angles with variables stat803 Finding the value for a new score that will yield a given mean arith663 Writing ratios for real-world situations alge272 Solving a proportion of the form x/a = b/c alge840 Solving a proportion of the form (x+a)/b = c/d alge271 Solving a proportion of the form a/(x+b) = c/x arith064 Solving a word problem on proportions using a unit rate arith610 Word problem on proportions: Problem type 1 arith611 Word problem on proportions: Problem type 2 geom037 Similar polygons geom038 Similar right triangles geom337 Indirect measurement arith226 Converting between percentages and decimals arith090 Converting a percentage to a fraction in simplest form arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50 arith069 Writing a ratio as a percentage without a calculator arith030 Finding a percentage of a whole number without a calculator: Basic arith698 Applying the percent equation arith074 Finding the sale price without a calculator given the original price and percent discount arith031 Finding the original price given the sale price and percent discount arith225 Finding the percentage increase or decrease: Advanced arith232 Finding simple interest without a calculator unit005 U.S. Customary unit conversion with whole number values unit001 Metric distance conversion with whole number values unit034 Converting between metric and U.S. Customary unit systems unit035 Converting between compound units: Basic unit036 Converting between compound units: Advanced mstat065 Converting between temperatures in Fahrenheit and Celsius unit052 Finding the absolute error and percent error of a measurement alge864 Solving an absolute value equation: Problem type 1 alge865 Solving an absolute value equation: Problem type 2 alge866 Solving an absolute value equation: Problem type 3 alge867 Solving an absolute value equation: Problem type 4

B.20. ALGEBRA 1A

Linear Inequalities alge015 Translating a sentence by using an inequality symbol alge845 Translating a sentence into a one-step inequality alge846 Translating a sentence into a multi-step inequality alge748 Writing an inequality for a real-world situation alge729 Writing a multi-step inequality for a real-world situation alge017 Graphing a linear inequality on the number line alge822 Writing an inequality given a graph on the number line alge186 Translating a sentence into a compound inequality alge166 Graphing a compound inequality on the number line alge847 Writing a compound inequality given a graph on the number line alge844 Identifying solutions to a two-step linear inequality in one variable alge848 Additive property of inequality with whole numbers alge849 Additive property of inequality with integers alge852 Additive property of inequality with signed fractions alge853 Additive property of inequality with signed decimals alge854 Multiplicative property of inequality with integers alge964 Multiplicative property of inequality with signed fractions alge855 Solving a two-step linear inequality: Problem type 1 alge856 Solving a two-step linear inequality: Problem type 2 alge857 Solving a two-step linear inequality with a fractional coefficient alge977 Solving a linear inequality with multiple occurrences of the variable: Problem type 1 alge858 Solving a linear inequality with multiple occurrences of the variable: Problem type 2 alge859 Solving a linear inequality with multiple occurrences of the variable: Problem type 3 alge860 Solving inequalities with no solution or all real numbers as solutions alge746 Solving a compound linear inequality: Problem type 1 alge861 Solving a compound linear inequality: Problem type 2 alge749 Solving a decimal word problem using a two-step linear inequality alge750 Solving a decimal word problem using a linear inequality with the variable on both sides alge943 Writing an absolute value inequality given a graph on the number line alge868 Solving an absolute value inequality: Problem type 1 alge869 Solving an absolute value inequality: Problem type 2 alge870 Solving an absolute value inequality: Problem type 3 alge871 Solving an absolute value inequality: Problem type 4 alge872 Solving an absolute value inequality: Problem type 5

Functions and Lines set001 Set builder notation set002 Union and intersection of finite sets fun001 Table for a linear function pcalc760 Evaluating functions: Linear and quadratic or cubic fun033 Variable expressions as inputs of functions fun016 Domain and range from ordered pairs alge896 Graphing an integer function and finding its range for a given domain fun032 Identifying functions from relations fun010 Vertical line test pcalc761 Finding inputs and outputs of a function from its graph alge999 Finding where a function is increasing, decreasing, or constant given the graph pcalc752 Finding local maxima and minima of a function given the graph fun005 Writing a function rule given a table of ordered pairs: One-step rules fun006 Writing a function rule given a table of ordered pairs: Two-step rules alge716 Introduction to the composition of two functions fun012 Inverse functions: Problem type 1 alge064 Reading a point in the coordinate plane alge067 Plotting a point in the coordinate plane

383

384 APPENDIX B. PROGRAMS IN ALEKS alge873 Identifying solutions to a linear equation in two variables alge850 Table for a linear equation alge066 Finding a solution to a linear equation in two variables alge877 Graphing a linear equation of the form y = mx alge878 Graphing a line given its equation in slope-intercept form: Integer slope alge879 Graphing a line given its equation in slope-intercept form: Fractional slope alge880 Graphing a line given its equation in standard form alge197 Graphing a line given its x- and y-intercepts alge881 Graphing a line by first finding its x- and y-intercepts alge196 Graphing a line through a given point with a given slope alge882 Graphing a line by first finding its slope and y-intercept alge883 Graphing a line given its equation in point-slope form alge198 Graphing a vertical or horizontal line alge876 Identifying linear equations: Advanced alge874 Identifying linear functions given ordered pairs alge891 Rewriting a linear equation in the form Ax + By = C alge884 Finding x- and y-intercepts given the graph of a line on a grid alge924 Finding x- and y-intercepts of a line given the equation: Basic alge210 Finding x- and y-intercepts of a line given the equation: Advanced alge875 Classifying slopes given graphs of lines alge886 Finding slope given the graph of a line on a grid alge887 Finding slope given two points on the line alge885 Finding the slope of horizontal and vertical lines alge888 Finding the coordinate that yields a given slope alge889 Finding the slope and y-intercept of a line given its equation in the form y = mx + b alge890 Finding the slope and y-intercept of a line given its equation in the form Ax + By = C alge892 Writing an equation and graphing a line given its slope and y-intercept alge070 Writing an equation of a line given the y-intercept and another point alge893 Writing an equation in slope-intercept form given the slope and a point alge894 Writing an equation in point-slope form given the slope and a point alge072 Writing the equation of the line through two given points alge073 Writing the equations of vertical and horizontal lines through a given point alge897 Writing and evaluating a function that models a real-world situation: Advanced alge701 Writing an equation and drawing its graph to model a real-world situation: Advanced mstat052 Identifying independent and dependent variables from equations or real-world situations alge990 Domain and range of a linear function that models a real-world situation alge989 Interpreting the parameters of a linear function that models a real-world situation alge992 Combining functions to write a new function that models a real-world situation alge987 Comparing properties of linear functions given in different forms alge805 Application problem with a linear function: Finding a coordinate given the slope and a point alge806 Application problem with a linear function: Finding a coordinate given two points alge895 Identifying parallel and perpendicular lines from equations geom807 Finding slopes of lines parallel and perpendicular to a line given in the form Ax + By = C geom808 Writing equations of lines parallel and perpendicular to a given line through a point alge991 Solving a linear equation by graphing mstat051 Choosing a graph to fit a narrative : Advanced alge828 Interpreting direct variation from a graph alge982 Identifying direct variation equations alge938 Identifying direct variation from ordered pairs and writing equations alge904 Writing a direct variation equation alge175 Word problem on direct variation alge925 Finding the next terms of an arithmetic sequence with whole numbers alge906 Finding the next terms of an arithmetic sequence with integers alge979 Identifying arithmetic sequences and finding the common difference alge931 Finding a specified term of an arithmetic sequence given the first terms pcalc085 Finding a specified term of an arithmetic sequence given the common difference and first term alge909 Writing an explicit rule for an arithmetic sequence alge908 Finding the first terms of a sequence using a recursive rule alge910 Writing a recursive rule for an arithmetic sequence mstat023 Scatter plots and correlation mstat030 Sketching the line of best fit mstat068 Predictions from the line of best fit

B.20. ALGEBRA 1A mstat067 Approximating the equation of a line of best fit and making predictions mstat069 Computing residuals mstat070 Interpreting residual plots mstat071 Linear relationship and the correlation coefficient mstat074 Identifying correlation and causation alge898 Translating the graph of an absolute value function: One step alge899 Translating the graph of an absolute value function: Two steps alge913 Graphing an absolute value equation of the form y = A—x— alge900 Graphing an absolute value equation in the plane: Basic alge168 Graphing an absolute value equation in the plane: Advanced alge901 How the leading coefficient affects the graph of an absolute value function alge954 Graphing a parabola of the form y = ax2 alge955 Graphing a parabola of the form y = ax2 + c alge262 Graphing a cubic function of the form y = ax3 fun030 Evaluating a piecewise-defined function fun031 Graphing a piecewise-defined function

Systems alge914 Identifying solutions to a system of linear equations alge075 Classifying systems of linear equations from graphs alge725 Graphically solving a system of linear equations alge751 Solving a system of linear equations using substitution alge915 Solving a system of linear equations using elimination with addition alge076 Solving a system of linear equations using elimination with multiplication and addition alge916 Solving a system of linear equations with fractional coefficients alge917 Solving a system of linear equations with decimal coefficients alge752 Solving a system of linear equations that is inconsistent or consistent dependent alge753 Solving a system of 3 linear equations in 3 unknowns alge988 Identifying the operations used to create equivalent systems of equations alge263 Interpreting the graphs of two functions alge078 Solving a word problem involving a sum and another basic relationship using a system of linear equations alge919 Solving a word problem using a system of linear equations of the form Ax + By = C alge918 Solving a word problem using a system of linear equations of the form y = mx + b alge184 Solving a value mixture problem using a system of linear equations alge224 Solving a distance, rate, time problem using a system of linear equations alge192 Solving a percent mixture problem using a system of linear equations alge172 Solving a tax rate or interest rate problem using a system of linear equations alge793 Solving a word problem using a 3x3 system of linear equations alge912 Identifying solutions to a linear inequality in two variables alge720 Graphing a linear inequality in the plane: Slope-intercept form alge018 Graphing a linear inequality in the plane: Standard form alge225 Graphing a linear inequality in the plane: Vertical or horizontal line alge079 Graphing a system of two linear inequalities: Basic alge921 Graphing a system of two linear inequalities: Advanced alge922 Graphing a system of three linear inequalities pcalc093 Solving a word problem using a system of linear inequalities pcalc037 Scalar multiplication of a matrix pcalc038 Addition or subtraction of matrices pcalc740 Linear combination of matrices pcalc712 Gauss-Jordan elimination with a 2x2 matrix

Exponents alge790 Evaluating expressions with exponents of zero arith042 Evaluating an expression with a negative exponent: Positive fraction base arith043 Evaluating an expression with a negative exponent: Negative integer base arith029 Ordering numbers with positive exponents

385

386 APPENDIX B. PROGRAMS IN ALEKS arith024 Ordering numbers with negative exponents alge791 Rewriting an algebraic expression without a negative exponent alge821 Understanding the product rule of exponents alge024 Introduction to the product rule of exponents alge030 Product rule with positive exponents: Multivariate alge961 Introduction to the product rule with negative exponents alge028 Product rule with negative exponents alge827 Introduction to the quotient rule of exponents alge026 Quotient of expressions involving exponents alge755 Quotient rule with negative exponents: Problem type 1 alge926 Quotient rule with negative exponents: Problem type 2 scinot002 Multiplying and dividing numbers written in scientific notation alge826 Understanding the power rules of exponents alge754 Introduction to the power rules of exponents alge027 Power rules with positive exponents alge025 Power of a power rule with negative exponents alge799 Power rules with negative exponents alge756 Power and product rules with positive exponents alge927 Power and quotient rules with positive exponents alge928 Power and quotient rules with negative exponents: Problem type 1 alge929 Power and quotient rules with negative exponents: Problem type 2 alge757 Power, product, and quotient rules with negative exponents alge812 Converting between radical form and exponent form alge250 Rational exponents: Non-unit fraction exponent with a whole number base alge251 Rational exponents: Negative exponents and fractional bases alge773 Rational exponents: Products and quotients with negative exponents alge249 Rational exponents: Powers of powers with negative exponents alge971 Table for an exponential function alge830 Evaluating an exponential function that models a real-world situation alge966 Finding the initial amount and rate of change given an exponential function alge968 Writing an equation that models exponential growth or decay alge967 Writing an exponential function rule given a table of ordered pairs alge301 Solving an exponential equation by finding common bases: Linear exponents alge177 Finding a final amount in a word problem on exponential growth or decay alge741 Compound interest alge969 Graphing an exponential function: f(x) = ax alge970 Graphing an exponential function: f(x) = a(b)x alge993 Comparing linear, polynomial, and exponential functions alge933 Finding the next terms of a geometric sequence with whole numbers alge907 Finding the next terms of a geometric sequence with signed numbers alge981 Identifying arithmetic and geometric sequences alge980 Identifying geometric sequences and finding the common ratio alge934 Finding a specified term of a geometric sequence given the first terms pcalc086 Finding a specified term of a geometric sequence given the common ratio and first term pcalc713 Arithmetic and geometric sequences: Identifying and writing an explicit rule alge911 Writing recursive rules for arithmetic and geometric sequences

Polynomials and Factoring alge758 Degree and leading coefficient of a univariate polynomial alge031 Degree of a multivariate polynomial alge798 Simplifying a sum or difference of two univariate polynomials alge029 Simplifying a sum or difference of three univariate polynomials alge932 Simplifying a sum or difference of multivariate polynomials alge735 Multiplying a univariate polynomial by a monomial with a positive coefficient alge972 Multiplying a univariate polynomial by a monomial with a negative coefficient alge835 Multiplying a multivariate polynomial by a monomial alge033 Multiplying binomials with leading coefficients of 1 alge983 Multiplying binomials with leading coefficients greater than 1 alge765 Multiplying binomials in two variables

B.20. ALGEBRA 1A alge764 Multiplying conjugate binomials: Univariate alge081 Multiplying conjugate binomials: Multivariate alge032 Squaring a binomial: Univariate alge068 Squaring a binomial: Multivariate alge973 Multiplying binomials with negative coefficients alge935 Multiplication involving binomials and trinomials in one variable alge180 Multiplication involving binomials and trinomials in two variables alge759 Dividing a polynomial by a monomial: Univariate alge760 Dividing a polynomial by a monomial: Multivariate alge761 Polynomial long division: Problem type 1 alge762 Polynomial long division: Problem type 2 alge763 Polynomial long division: Problem type 3 alge985 Closure properties of integers and polynomials alge736 Introduction to the GCF of two monomials alge037 Greatest common factor of two multivariate monomials alge930 Greatest common factor of three univariate monomials alge738 Factoring out a monomial from a polynomial: Univariate alge739 Factoring out a monomial from a polynomial: Multivariate alge949 Factoring out a binomial from a polynomial: Basic alge923 Factoring a univariate polynomial by grouping: Problem type 1 alge950 Factoring a univariate polynomial by grouping: Problem type 2 alge951 Factoring a multivariate polynomial by grouping: Problem type 1 alge952 Factoring a multivariate polynomial by grouping: Problem type 2 alge039 Factoring a quadratic with leading coefficient 1 alge942 Factoring a quadratic in two variables with leading coefficient 1 alge936 Factoring out a constant before factoring a quadratic alge939 Factoring a quadratic with leading coefficient greater than 1: Problem type 1 alge940 Factoring a quadratic with leading coefficient greater than 1: Problem type 2 alge941 Factoring a quadratic with leading coefficient greater than 1: Problem type 3 alge978 Factoring a quadratic by the ac-method alge265 Factoring a quadratic in two variables with leading coefficient greater than 1 alge937 Factoring a quadratic with a negative leading coefficient alge041 Factoring a product of a quadratic trinomial and a monomial alge944 Factoring a perfect square trinomial with leading coefficient 1 alge945 Factoring a perfect square trinomial with leading coefficient greater than 1 alge946 Factoring a perfect square trinomial in two variables alge290 Factoring a difference of squares in one variable: Basic alge947 Factoring a difference of squares in one variable: Advanced alge839 Factoring a difference of squares in two variables alge948 Factoring a polynomial involving a GCF and a difference of squares: Univariate alge833 Factoring a polynomial involving a GCF and a difference of squares: Multivariate alge042 Factoring with repeated use of the difference of squares formula alge044 Factoring a sum or difference of two cubes alge681 Solving an equation written in factored form alge956 Finding the roots of a quadratic equation of the form ax2 + bx = 0 alge045 Finding the roots of a quadratic equation with leading coefficient 1 alge048 Finding the roots of a quadratic equation with leading coefficient greater than 1 alge211 Solving a quadratic equation needing simplification alge703 Solving a word problem using a quadratic equation with rational roots

Data Analysis and Probability mstat037 Constructing a line plot mstat004 Constructing a histogram for numerical data mstat024 Interpreting a bar graph mstat044 Interpreting a double bar graph mstat007 Interpreting a line graph stat804 Interpreting a circle graph or pie chart stat801 Computations from a circle graph geom814 Angle measure in a circle graph

387

388 APPENDIX B. PROGRAMS IN ALEKS mstat031 Interpreting a stem-and-leaf plot mstat027 Using back-to-back stem-and-leaf plots to compare data sets mstat006 Constructing a box-and-whisker plot mstat073 Using box-and-whisker plots to compare data sets mstat003 Mode of a data set mstat055 Finding the mode and range of a data set mstat001 Mean of a data set mstat028 Mean and median of a data set mstat066 Weighted mean mstat029 How changing a value affects the mean and median mstat053 Choosing the best measure to describe data stat802 Rejecting unreasonable claims based on average statistics mstat025 Finding if a question can be answered by the data mstat049 Computing a percentage from a table of values stat020 Calculating relative frequencies in a contingency table stat805 Making a reasonable inference based on proportion statistics stat009 Percentiles mstat072 Five-number summary and interquartile range stat021 Population standard deviation mstat042 Interpreting a Venn diagram of 2 sets mstat043 Interpreting a Venn diagram of 3 sets mstat041 Interpreting a tree diagram mstat040 Introduction to the counting principle mstat015 Counting principle pcalc082 Factorial expressions mstat017 Computing permutations and combinations mstat008 Word problem involving permutations mstat009 Word problem involving combinations stat790 Permutations, combinations, and the multiplication principle for counting mstat026 Introduction to the probability of an event mstat010 Probability of an event mstat048 Odds of an event stat106 Outcomes and event probability stat112 Probabilities involving two dice mstat011 Area as probability mstat046 Experimental and theoretical probability mstat047 Introduction to expectation mstat012 Probability of independent events mstat013 Probability of dependent events mstat032 Probability of the union of two events

## B.21

## CA Algebra 1A

Arithmetic Readiness arith078 Rounding to tens or hundreds arith123 Rounding to hundreds or thousands arith101 Estimating a sum of whole numbers arith233 Introduction to exponents arith692 Writing expressions using exponents arith048 Order of operations with whole numbers arith051 Order of operations with whole numbers and grouping symbols arith693 Order of operations with whole numbers and exponents: Basic arith713 Order of operations with whole numbers and exponents: Advanced alge731 Evaluating an algebraic expression: Whole numbers with two operations alge832 Evaluating an algebraic expression: Whole number operations and exponents arith056 Factors arith034 Prime numbers

B.21. CA ALGEBRA 1A arith035 Prime factorization arith033 Greatest common factor of 2 numbers arith070 Least common multiple of 2 numbers arith240 Word problem with common multiples arith212 Equivalent fractions arith067 Simplifying a fraction arith092 Using a common denominator to order fractions arith618 Addition or subtraction of fractions with the same denominator arith801 Finding the LCD of two fractions arith664 Introduction to addition or subtraction of fractions with different denominators arith230 Addition or subtraction of fractions with different denominators arith100 Fractional part of a circle arith079 Product of a unit fraction and a whole number arith086 Product of a fraction and a whole number: Problem type 1 arith119 Introduction to fraction multiplication arith053 Fraction multiplication arith088 The reciprocal of a number arith694 Division involving a whole number and a fraction arith022 Fraction division arith697 Mixed arithmetic operations with fractions arith095 Multi-step word problem involving fractions and multiplication arith015 Writing an improper fraction as a mixed number arith619 Writing a mixed number as an improper fraction arith084 Addition of mixed numbers with the same denominator and carry arith216 Subtraction of mixed numbers with the same denominator and borrowing arith085 Addition or subtraction of mixed numbers with different denominators arith020 Mixed number multiplication: Problem type 1 arith068 Mixed number division arith110 Decimal place value: Tenths and hundredths arith221 Rounding decimals arith129 Introduction to ordering decimals arith608 Ordering decimals arith609 Ordering fractions and decimals arith222 Converting a fraction to a terminating decimal arith089 Converting a fraction to a repeating decimal arith087 Converting a decimal to a proper fraction in simplest form: Advanced arith624 Addition of aligned decimals arith625 Subtraction of aligned decimals arith131 Estimating a decimal sum or difference arith017 Multiplication of a decimal by a whole number arith082 Multiplication of a decimal by a power of ten arith055 Decimal multiplication: Problem type 1 arith081 Division of a decimal by a whole number arith083 Division of a decimal by a power of ten arith019 Division of a decimal by a 2-digit decimal arith626 Word problem with one decimal operation: Problem type 1 arith627 Word problem with one decimal operation: Problem type 2 arith628 Word problem with multiple decimal operations: Problem type 1 arith016 Square root of a perfect square arith602 Estimating a square root arith601 Square root of a rational perfect square arith094 Cube root of an integer arith683 Power of 10: Positive exponent arith684 Power of 10: Negative exponent arith036 Scientific notation with positive exponent arith037 Scientific notation with negative exponent geom339 Perimeter of a polygon geom300 Perimeter of a square or a rectangle geom019 Area of a square or a rectangle geom221 Finding the missing length in a figure geom340 Area of a piecewise rectangular figure geom142 Word problem involving the area between two rectangles

389

390 APPENDIX B. PROGRAMS IN ALEKS geom801 Area of a triangle geom022 Area of a parallelogram geom023 Area of a trapezoid geom016 Circumference of a circle geom301 Perimeter involving rectangles and circles geom838 Circumference ratios geom802 Circumference and area of a circle geom302 Area involving rectangles and circles geom036 Word problem involving the area between two concentric circles geom214 Area involving inscribed figures geom031 Surface area of a cube or a rectangular prism geom091 Surface area of a triangular prism geom034 Surface area of a cylinder: Exact answers in terms of pi geom842 Surface area of a sphere geom311 Volume of a rectangular prism geom090 Volume of a triangular prism geom033 Volume of a pyramid geom035 Volume of a cylinder geom092 Word problem involving the rate of filling or emptying a cylinder geom086 Volume of a cone: Exact answers in terms of pi geom841 Volume of a sphere geom039 Finding supplementary and complementary angles

Real Numbers alge001 Identifying numbers as integers or non-integers alge002 Identifying numbers as rational or irrational mstat038 Reading the temperature from a thermometer arith699 Writing a signed number for a real-world situation alge286 Plotting integers on a number line arith687 Fractional position on a number line arith605 Plotting rational numbers on a number line arith691 Ordering integers arith712 Ordering real numbers arith200 Integer addition: Problem type 1 arith108 Integer addition: Problem type 2 arith688 Integer subtraction: Problem type 1 arith689 Integer subtraction: Problem type 2 arith690 Integer subtraction: Problem type 3 arith701 Word problem with addition or subtraction of integers arith116 Signed fraction addition or subtraction: Basic arith106 Signed fraction addition or subtraction: Advanced arith117 Signed decimal addition and subtraction arith234 Signed decimal addition and subtraction with 3 numbers arith231 Integer multiplication and division arith800 Multiplication of 3 or 4 integers arith822 Signed fraction multiplication: Basic arith105 Signed fraction multiplication: Advanced alge984 Classifying sums and products as rational or irrational arith702 Exponents and integers: Problem type 1 arith703 Exponents and integers: Problem type 2 arith704 Exponents and signed fractions arith118 Order of operations with integers arith600 Order of operations with integers and exponents alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction alge004 Evaluating a quadratic expression: Integers arith071 Absolute value of a number arith104 Operations with absolute value: Problem type 2 geom525 Computing distances between decimals on the number line alge187 Properties of addition

B.21. CA ALGEBRA 1A alge188 Properties of real numbers arith657 Understanding the distributive property alge606 Distributive property: Whole number coefficients alge604 Distributive property: Integer coefficients alge700 Combining like terms: Whole number coefficients alge607 Combining like terms: Integer coefficients alge663 Combining like terms: Advanced alge293 Combining like terms in a quadratic expression

Linear Equations alge009 Additive property of equality with whole numbers alge801 Additive property of equality with fractions and mixed numbers alge800 Additive property of equality with decimals alge010 Additive property of equality with integers alge266 Additive property of equality with a negative coefficient alge836 Additive property of equality with signed fractions alge008 Multiplicative property of equality with whole numbers alge820 Multiplicative property of equality with fractions alge825 Multiplicative property of equality with decimals alge797 Multiplicative property of equality with integers alge012 Multiplicative property of equality with signed fractions alge834 Identifying solutions to a linear equation in one variable: Two-step equations alge803 Using two steps to solve an equation with whole numbers alge006 Solving a two-step equation with integers alge837 Solving a multi-step equation given in fractional form alge208 Solving a two-step equation with signed fractions alge824 Solving a two-step equation with signed decimals alge200 Solving an equation to find the value of an expression alge920 Introduction to solving an equation with parentheses alge838 Introduction to solving an equation with variables on the same side alge862 Solving a linear equation with several occurrences of the variable: Variables on the same side alge863 Solving a linear equation with several occurrences of the variable: Variables on both sides alge011 Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution alge013 Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution alge209 Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions alge061 Solving a linear equation with several occurrences of the variable: Variables on both sides and fractional coefficients alge179 Solving a linear equation with several occurrences of the variable: Fractional forms with binomial numerators alge742 Solving equations with zero, one, or infinitely many solutions alge986 Identifying properties used to solve a linear equation alge810 Introduction to algebraic symbol manipulation alge743 Algebraic symbol manipulation: Problem type 1 alge744 Algebraic symbol manipulation: Problem type 2 alge831 Translating a phrase into a one-step expression alge733 Writing a one-step expression for a real-world situation alge291 Translating a phrase into a two-step expression alge016 Translating a sentence into a one-step equation alge841 Translating a sentence into a multi-step equation alge730 Writing a multi-step equation for a real-world situation alge802 Solving a fraction word problem using a linear equation of the form Ax = B alge014 Solving a word problem with two unknowns using a linear equation alge173 Solving a decimal word problem using a linear equation of the form Ax + B = C alge219 Solving a decimal word problem using a linear equation with the variable on both sides alge704 Solving a fraction word problem using a linear equation with the variable on both sides alge792 Solving a word problem with three unknowns using a linear equation

391

392 APPENDIX B. PROGRAMS IN ALEKS alge842 Solving a word problem involving consecutive integers alge794 Solving a value mixture problem using a linear equation alge795 Solving a percent mixture problem using a linear equation arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers alge823 Solving a one-step word problem using the formula d = rt alge218 Solving a word problem involving rates and time conversion alge796 Solving a distance, rate, time problem using a linear equation geom817 Finding a side length given the perimeter and side lengths with variables geom217 Finding the side length of a rectangle given its perimeter or area geom143 Finding the perimeter or area of a rectangle given one of these values geom530 Solving equations involving vertical angles geom001 Finding an angle measure of a triangle given two angles geom502 Finding angle measures of a right or isosceles triangle given angles with variables stat803 Finding the value for a new score that will yield a given mean arith663 Writing ratios for real-world situations alge272 Solving a proportion of the form x/a = b/c alge840 Solving a proportion of the form (x+a)/b = c/d alge271 Solving a proportion of the form a/(x+b) = c/x arith064 Solving a word problem on proportions using a unit rate arith610 Word problem on proportions: Problem type 1 arith611 Word problem on proportions: Problem type 2 geom037 Similar polygons geom038 Similar right triangles geom337 Indirect measurement arith226 Converting between percentages and decimals arith090 Converting a percentage to a fraction in simplest form arith002 Converting a fraction to a percentage: Denominator of 20, 25, or 50 arith069 Writing a ratio as a percentage without a calculator arith030 Finding a percentage of a whole number without a calculator: Basic arith698 Applying the percent equation arith074 Finding the sale price without a calculator given the original price and percent discount arith031 Finding the original price given the sale price and percent discount arith225 Finding the percentage increase or decrease: Advanced arith232 Finding simple interest without a calculator unit005 U.S. Customary unit conversion with whole number values unit001 Metric distance conversion with whole number values unit034 Converting between metric and U.S. Customary unit systems unit035 Converting between compound units: Basic unit036 Converting between compound units: Advanced mstat065 Converting between temperatures in Fahrenheit and Celsius unit052 Finding the absolute error and percent error of a measurement alge864 Solving an absolute value equation: Problem type 1 alge865 Solving an absolute value equation: Problem type 2 alge866 Solving an absolute value equation: Problem type 3 alge867 Solving an absolute value equation: Problem type 4

Linear Inequalities alge015 Translating a sentence by using an inequality symbol alge845 Translating a sentence into a one-step inequality alge846 Translating a sentence into a multi-step inequality alge748 Writing an inequality for a real-world situation alge729 Writing a multi-step inequality for a real-world situation alge017 Graphing a linear inequality on the number line alge822 Writing an inequality given a graph on the number line alge186 Translating a sentence into a compound inequality alge166 Graphing a compound inequality on the number line alge847 Writing a compound inequality given a graph on the number line alge844 Identifying solutions to a two-step linear inequality in one variable alge848 Additive property of inequality with whole numbers

B.21. CA ALGEBRA 1A alge849 Additive property of inequality with integers alge852 Additive property of inequality with signed fractions alge853 Additive property of inequality with signed decimals alge854 Multiplicative property of inequality with integers alge964 Multiplicative property of inequality with signed fractions alge855 Solving a two-step linear inequality: Problem type 1 alge856 Solving a two-step linear inequality: Problem type 2 alge857 Solving a two-step linear inequality with a fractional coefficient alge977 Solving a linear inequality with multiple occurrences of the variable: Problem type 1 alge858 Solving a linear inequality with multiple occurrences of the variable: Problem type 2 alge859 Solving a linear inequality with multiple occurrences of the variable: Problem type 3 alge860 Solving inequalities with no solution or all real numbers as solutions alge746 Solving a compound linear inequality: Problem type 1 alge861 Solving a compound linear inequality: Problem type 2 alge749 Solving a decimal word problem using a two-step linear inequality alge750 Solving a decimal word problem using a linear inequality with the variable on both sides alge943 Writing an absolute value inequality given a graph on the number line alge868 Solving an absolute value inequality: Problem type 1 alge869 Solving an absolute value inequality: Problem type 2 alge870 Solving an absolute value inequality: Problem type 3 alge871 Solving an absolute value inequality: Problem type 4 alge872 Solving an absolute value inequality: Problem type 5

Functions and Lines set001 Set builder notation set002 Union and intersection of finite sets fun001 Table for a linear function pcalc760 Evaluating functions: Linear and quadratic or cubic fun033 Variable expressions as inputs of functions fun016 Domain and range from ordered pairs alge896 Graphing an integer function and finding its range for a given domain fun032 Identifying functions from relations fun010 Vertical line test pcalc761 Finding inputs and outputs of a function from its graph alge999 Finding where a function is increasing, decreasing, or constant given the graph pcalc752 Finding local maxima and minima of a function given the graph fun005 Writing a function rule given a table of ordered pairs: One-step rules fun006 Writing a function rule given a table of ordered pairs: Two-step rules alge716 Introduction to the composition of two functions fun012 Inverse functions: Problem type 1 alge064 Reading a point in the coordinate plane alge067 Plotting a point in the coordinate plane alge873 Identifying solutions to a linear equation in two variables alge850 Table for a linear equation alge066 Finding a solution to a linear equation in two variables alge877 Graphing a linear equation of the form y = mx alge878 Graphing a line given its equation in slope-intercept form: Integer slope alge879 Graphing a line given its equation in slope-intercept form: Fractional slope alge880 Graphing a line given its equation in standard form alge197 Graphing a line given its x- and y-intercepts alge881 Graphing a line by first finding its x- and y-intercepts alge196 Graphing a line through a given point with a given slope alge882 Graphing a line by first finding its slope and y-intercept alge883 Graphing a line given its equation in point-slope form alge198 Graphing a vertical or horizontal line alge876 Identifying linear equations: Advanced alge874 Identifying linear functions given ordered pairs alge891 Rewriting a linear equation in the form Ax + By = C alge884 Finding x- and y-intercepts given the graph of a line on a grid

393

394 APPENDIX B. PROGRAMS IN ALEKS alge924 Finding x- and y-intercepts of a line given the equation: Basic alge210 Finding x- and y-intercepts of a line given the equation: Advanced alge875 Classifying slopes given graphs of lines alge886 Finding slope given the graph of a line on a grid alge887 Finding slope given two points on the line alge885 Finding the slope of horizontal and vertical lines alge888 Finding the coordinate that yields a given slope alge889 Finding the slope and y-intercept of a line given its equation in the form y = mx + b alge890 Finding the slope and y-intercept of a line given its equation in the form Ax + By = C alge892 Writing an equation and graphing a line given its slope and y-intercept alge070 Writing an equation of a line given the y-intercept and another point alge893 Writing an equation in slope-intercept form given the slope and a point alge894 Writing an equation in point-slope form given the slope and a point alge072 Writing the equation of the line through two given points alge073 Writing the equations of vertical and horizontal lines through a given point alge897 Writing and evaluating a function that models a real-world situation: Advanced alge701 Writing an equation and drawing its graph to model a real-world situation: Advanced mstat052 Identifying independent and dependent variables from equations or real-world situations alge990 Domain and range of a linear function that models a real-world situation alge989 Interpreting the parameters of a linear function that models a real-world situation alge992 Combining functions to write a new function that models a real-world situation alge987 Comparing properties of linear functions given in different forms alge805 Application problem with a linear function: Finding a coordinate given the slope and a point alge806 Application problem with a linear function: Finding a coordinate given two points alge895 Identifying parallel and perpendicular lines from equations geom807 Finding slopes of lines parallel and perpendicular to a line given in the form Ax + By = C geom808 Writing equations of lines parallel and perpendicular to a given line through a point alge991 Solving a linear equation by graphing mstat051 Choosing a graph to fit a narrative : Advanced alge828 Interpreting direct variation from a graph alge982 Identifying direct variation equations alge938 Identifying direct variation from ordered pairs and writing equations alge904 Writing a direct variation equation alge175 Word problem on direct variation alge925 Finding the next terms of an arithmetic sequence with whole numbers alge906 Finding the next terms of an arithmetic sequence with integers alge979 Identifying arithmetic sequences and finding the common difference alge931 Finding a specified term of an arithmetic sequence given the first terms pcalc085 Finding a specified term of an arithmetic sequence given the common difference and first term alge909 Writing an explicit rule for an arithmetic sequence alge908 Finding the first terms of a sequence using a recursive rule alge910 Writing a recursive rule for an arithmetic sequence mstat023 Scatter plots and correlation mstat030 Sketching the line of best fit mstat068 Predictions from the line of best fit mstat067 Approximating the equation of a line of best fit and making predictions mstat069 Computing residuals mstat070 Interpreting residual plots mstat071 Linear relationship and the correlation coefficient mstat074 Identifying correlation and causation alge898 Translating the graph of an absolute value function: One step alge899 Translating the graph of an absolute value function: Two steps alge913 Graphing an absolute value equation of the form y = A—x— alge900 Graphing an absolute value equation in the plane: Basic alge168 Graphing an absolute value equation in the plane: Advanced alge901 How the leading coefficient affects the graph of an absolute value function alge954 Graphing a parabola of the form y = ax2 alge955 Graphing a parabola of the form y = ax2 + c alge262 Graphing a cubic function of the form y = ax3 fun030 Evaluating a piecewise-defined function fun031 Graphing a piecewise-defined function

B.21. CA ALGEBRA 1A

Systems alge914 Identifying solutions to a system of linear equations alge075 Classifying systems of linear equations from graphs alge725 Graphically solving a system of linear equations alge751 Solving a system of linear equations using substitution alge915 Solving a system of linear equations using elimination with addition alge076 Solving a system of linear equations using elimination with multiplication and addition alge916 Solving a system of linear equations with fractional coefficients alge917 Solving a system of linear equations with decimal coefficients alge752 Solving a system of linear equations that is inconsistent or consistent dependent alge753 Solving a system of 3 linear equations in 3 unknowns alge988 Identifying the operations used to create equivalent systems of equations alge263 Interpreting the graphs of two functions alge078 Solving a word problem involving a sum and another basic relationship using a system of linear equations alge919 Solving a word problem using a system of linear equations of the form Ax + By = C alge918 Solving a word problem using a system of linear equations of the form y = mx + b alge184 Solving a value mixture problem using a system of linear equations alge224 Solving a distance, rate, time problem using a system of linear equations alge192 Solving a percent mixture problem using a system of linear equations alge172 Solving a tax rate or interest rate problem using a system of linear equations alge793 Solving a word problem using a 3x3 system of linear equations alge912 Identifying solutions to a linear inequality in two variables alge720 Graphing a linear inequality in the plane: Slope-intercept form alge018 Graphing a linear inequality in the plane: Standard form alge225 Graphing a linear inequality in the plane: Vertical or horizontal line alge079 Graphing a system of two linear inequalities: Basic alge921 Graphing a system of two linear inequalities: Advanced alge922 Graphing a system of three linear inequalities pcalc093 Solving a word problem using a system of linear inequalities pcalc037 Scalar multiplication of a matrix pcalc038 Addition or subtraction of matrices pcalc740 Linear combination of matrices pcalc712 Gauss-Jordan elimination with a 2x2 matrix

395

Exponents alge790 Evaluating expressions with exponents of zero arith042 Evaluating an expression with a negative exponent: Positive fraction base arith043 Evaluating an expression with a negative exponent: Negative integer base arith029 Ordering numbers with positive exponents arith024 Ordering numbers with negative exponents alge791 Rewriting an algebraic expression without a negative exponent alge821 Understanding the product rule of exponents alge024 Introduction to the product rule of exponents alge030 Product rule with positive exponents: Multivariate alge961 Introduction to the product rule with negative exponents alge028 Product rule with negative exponents alge827 Introduction to the quotient rule of exponents alge026 Quotient of expressions involving exponents alge755 Quotient rule with negative exponents: Problem type 1 alge926 Quotient rule with negative exponents: Problem type 2 scinot002 Multiplying and dividing numbers written in scientific notation alge826 Understanding the power rules of exponents alge754 Introduction to the power rules of exponents alge027 Power rules with positive exponents alge025 Power of a power rule with negative exponents alge799 Power rules with negative exponents alge756 Power and product rules with positive exponents

396 APPENDIX B. PROGRAMS IN ALEKS alge927 Power and quotient rules with positive exponents alge928 Power and quotient rules with negative exponents: Problem type 1 alge929 Power and quotient rules with negative exponents: Problem type 2 alge757 Power, product, and quotient rules with negative exponents alge812 Converting between radical form and exponent form alge250 Rational exponents: Non-unit fraction exponent with a whole number base alge251 Rational exponents: Negative exponents and fractional bases alge773 Rational exponents: Products and quotients with negative exponents alge249 Rational exponents: Powers of powers with negative exponents alge971 Table for an exponential function alge830 Evaluating an exponential function that models a real-world situation alge966 Finding the initial amount and rate of change given an exponential function alge968 Writing an equation that models exponential growth or decay alge967 Writing an exponential function rule given a table of ordered pairs alge301 Solving an exponential equation by finding common bases: Linear exponents alge177 Finding a final amount in a word problem on exponential growth or decay alge741 Compound interest alge969 Graphing an exponential function: f(x) = ax alge970 Graphing an exponential function: f(x) = a(b)x alge993 Comparing linear, polynomial, and exponential functions alge933 Finding the next terms of a geometric sequence with whole numbers alge907 Finding the next terms of a geometric sequence with signed numbers alge981 Identifying arithmetic and geometric sequences alge980 Identifying geometric sequences and finding the common ratio alge934 Finding a specified term of a geometric sequence given the first terms pcalc086 Finding a specified term of a geometric sequence given the common ratio and first term pcalc713 Arithmetic and geometric sequences: Identifying and writing an explicit rule alge911 Writing recursive rules for arithmetic and geometric sequences

Polynomials and Factoring alge758 Degree and leading coefficient of a univariate polynomial alge031 Degree of a multivariate polynomial alge798 Simplifying a sum or difference of two univariate polynomials alge029 Simplifying a sum or difference of three univariate polynomials alge932 Simplifying a sum or difference of multivariate polynomials alge735 Multiplying a univariate polynomial by a monomial with a positive coefficient alge972 Multiplying a univariate polynomial by a monomial with a negative coefficient alge835 Multiplying a multivariate polynomial by a monomial alge033 Multiplying binomials with leading coefficients of 1 alge983 Multiplying binomials with leading coefficients greater than 1 alge765 Multiplying binomials in two variables alge764 Multiplying conjugate binomials: Univariate alge081 Multiplying conjugate binomials: Multivariate alge032 Squaring a binomial: Univariate alge068 Squaring a binomial: Multivariate alge973 Multiplying binomials with negative coefficients alge935 Multiplication involving binomials and trinomials in one variable alge180 Multiplication involving binomials and trinomials in two variables alge759 Dividing a polynomial by a monomial: Univariate alge760 Dividing a polynomial by a monomial: Multivariate alge761 Polynomial long division: Problem type 1 alge762 Polynomial long division: Problem type 2 alge763 Polynomial long division: Problem type 3 alge985 Closure properties of integers and polynomials alge736 Introduction to the GCF of two monomials alge037 Greatest common factor of two multivariate monomials alge930 Greatest common factor of three univariate monomials alge738 Factoring out a monomial from a polynomial: Univariate alge739 Factoring out a monomial from a polynomial: Multivariate

B.21. CA ALGEBRA 1A alge949 Factoring out a binomial from a polynomial: Basic alge923 Factoring a univariate polynomial by grouping: Problem type 1 alge950 Factoring a univariate polynomial by grouping: Problem type 2 alge951 Factoring a multivariate polynomial by grouping: Problem type 1 alge952 Factoring a multivariate polynomial by grouping: Problem type 2 alge039 Factoring a quadratic with leading coefficient 1 alge942 Factoring a quadratic in two variables with leading coefficient 1 alge936 Factoring out a constant before factoring a quadratic alge939 Factoring a quadratic with leading coefficient greater than 1: Problem type 1 alge940 Factoring a quadratic with leading coefficient greater than 1: Problem type 2 alge941 Factoring a quadratic with leading coefficient greater than 1: Problem type 3 alge978 Factoring a quadratic by the ac-method alge265 Factoring a quadratic in two variables with leading coefficient greater than 1 alge937 Factoring a quadratic with a negative leading coefficient alge041 Factoring a product of a quadratic trinomial and a monomial alge944 Factoring a perfect square trinomial with leading coefficient 1 alge945 Factoring a perfect square trinomial with leading coefficient greater than 1 alge946 Factoring a perfect square trinomial in two variables alge290 Factoring a difference of squares in one variable: Basic alge947 Factoring a difference of squares in one variable: Advanced alge839 Factoring a difference of squares in two variables alge948 Factoring a polynomial involving a GCF and a difference of squares: Univariate alge833 Factoring a polynomial involving a GCF and a difference of squares: Multivariate alge042 Factoring with repeated use of the difference of squares formula alge044 Factoring a sum or difference of two cubes alge681 Solving an equation written in factored form alge956 Finding the roots of a quadratic equation of the form ax2 + bx = 0 alge045 Finding the roots of a quadratic equation with leading coefficient 1 alge048 Finding the roots of a quadratic equation with leading coefficient greater than 1 alge211 Solving a quadratic equation needing simplification alge703 Solving a word problem using a quadratic equation with rational roots

Data Analysis and Probability mstat037 Constructing a line plot mstat004 Constructing a histogram for numerical data mstat024 Interpreting a bar graph mstat044 Interpreting a double bar graph mstat007 Interpreting a line graph stat804 Interpreting a circle graph or pie chart stat801 Computations from a circle graph geom814 Angle measure in a circle graph mstat031 Interpreting a stem-and-leaf plot mstat027 Using back-to-back stem-and-leaf plots to compare data sets mstat006 Constructing a box-and-whisker plot mstat073 Using box-and-whisker plots to compare data sets mstat003 Mode of a data set mstat055 Finding the mode and range of a