# null null ```Instructor’s Manual
for Higher Education Mathematics
ALEKS Corporation
ALEKS Instructor’s Manual for Higher Education Mathematics, Version 3.18.
Revised March 15, 2017.
Prepared by Advanced Customer Solutions, ALEKS Corporation.
®
ALEKS is a registered trademark of ALEKS Corporation.
Contents
List of Figures
xv
Preface
xxi
1 Introduction
1
1.1
What is ALEKS? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1
1.2
The ALEKS Instructor’s Manual . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2
2 Quick Start
3
2.1
Obtaining a Class Code . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3
2.2
Registering Students . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3
3 Setup Guide for Instructors
5
3.1
Instructor Preparation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
5
3.2
System Requirements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
6
3.3
Instructor Module . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
6
3.4
Student Orientation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
6
3.5
Registration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
7
3.6
Tutorial . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
7
3.7
First Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8
3.8
Report Tutorial . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8
3.9
Beginning the Learning Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8
4 Assessment Mode
4.1
9
Assessments in ALEKS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
iii
9
iv
CONTENTS
4.2
Guidelines for Assessments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
4.3
How Assessments are Triggered . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
4.3.1
Initial Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
4.3.2
Automatic Assessments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
4.3.3
Scheduled Assessments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
4.3.4
Requested Assessments for a Single Student . . . . . . . . . . . . . . . . . 12
4.4
Answer Editor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
4.5
Manipulators for Mathematical Expressions . . . . . . . . . . . . . . . . . . . . . . 14
4.6
4.5.1
Basic Input . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
4.5.2
Basic Editing Tools . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
4.5.3
Selecting Input . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
4.5.4
Clear and Undo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
Mathematical Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
4.6.1
Entering Expressions from the Keyboard . . . . . . . . . . . . . . . . . . . 16
4.6.2
Using the Answer Editor Keypad to Structure Simple Expressions . . . . . 16
4.6.3
Entering Complex Expressions . . . . . . . . . . . . . . . . . . . . . . . . . 16
4.6.4
Alternate Ways of Entering Expressions . . . . . . . . . . . . . . . . . . . . 16
4.6.5
Other Mathematical Signs . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
4.6.6
The Asterisk for Multiplication
4.6.7
Mixed Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
. . . . . . . . . . . . . . . . . . . . . . . . 17
4.7
Types of Mathematical Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
4.8
Advanced Mathematical Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . 19
4.9
The Answer Editor for Graphing . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
4.10
The Answer Editor for Histograms . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
5 Learning Mode
23
5.1
The ALEKS Learning Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
5.2
Interface Features . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
5.3
The Learning Mode Workflow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
5.3.1
Practice Page . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
5.3.2
Explanation Page . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
CONTENTS
5.3.3
v
Wrong Answer Page . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
5.4
Feedback in Learning Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
5.5
Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
5.6
Worksheet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
6 QuickTables
6.1
6.2
6.3
6.4
29
Setting Up QuickTables for your Class . . . . . . . . . . . . . . . . . . . . . . . . . 29
6.1.1
QuickTables Sub-Navigation . . . . . . . . . . . . . . . . . . . . . . . . . . 29
6.1.2
Create a Table . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
6.1.3
Edit Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
6.1.4
QuickTables Class Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
6.1.5
Game Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
6.1.6
Retention Assessment Settings . . . . . . . . . . . . . . . . . . . . . . . . . 33
6.1.7
QuickTables Student Settings . . . . . . . . . . . . . . . . . . . . . . . . . 34
QuickTables Assignments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
6.2.1
QuickTables Scheduled Assessments . . . . . . . . . . . . . . . . . . . . . . 34
6.2.2
QuickTables Quiz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
6.2.3
QuickTables Worksheets . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
Reporting your Students’ Progress in QuickTables . . . . . . . . . . . . . . . . . . . 36
6.3.1
QuickTables Progress Reports . . . . . . . . . . . . . . . . . . . . . . . . . 36
6.3.2
QuickTables Quiz Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
6.3.3
QuickTables Scheduled Assessment Reports
How Your Students Use QuickTables . . . . . . . . . . . . . . . . . . . . . . . . . . 38
6.4.1
QuickTables Keyboard Exercise . . . . . . . . . . . . . . . . . . . . . . . . 38
6.4.2
QuickTables Testing Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
6.4.3
QuickTables Learning Mode . . . . . . . . . . . . . . . . . . . . . . . . . . 38
6.4.4
QuickTables Games . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
6.4.5
QuickTables Completion Certificate . . . . . . . . . . . . . . . . . . . . . . 40
7 Instructor Module
7.1
. . . . . . . . . . . . . . . . . 37
43
Navigation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
vi
CONTENTS
7.2
7.3
7.1.1
Search Box . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
7.1.2
Main Navigation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
7.1.3
Sub-Navigation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
7.1.4
Dashboard . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
7.1.5
Home Button . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
Instructor Account . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
7.2.1
Account Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
7.2.2
Message Center . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
7.2.3
Reference Guides . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48
7.2.4
Customer Support . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48
7.2.5
Training & Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
7.2.6
Log Out . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
7.2.7
Community
7.2.8
Feedback . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
7.2.9
Student Roster (Instructor Level) . . . . . . . . . . . . . . . . . . . . . . . 49
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
7.3.1
Available Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
7.3.2
Download Report Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
7.3.3
Send Message to Selected Students . . . . . . . . . . . . . . . . . . . . . . 52
7.3.4
Viewing Student History Across Multiple ALEKS classes . . . . . . . . . . 52
7.3.5
Interpreting Bar Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
7.3.6
ALEKS Pie
7.3.7
Display Options for ALEKS Pie Report . . . . . . . . . . . . . . . . . . . . 54
7.3.8
ALEKS Pie Report for a Single Student . . . . . . . . . . . . . . . . . . . . 57
7.3.9
Objective Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
7.3.10
Progress Reports
7.3.11
Learning Progress Since Latest Knowledge Check . . . . . . . . . . . . . . 59
7.3.12
Most Recent Knowledge Check . . . . . . . . . . . . . . . . . . . . . . . . . 59
7.3.13
Best Performance in Learning Mode Over Time . . . . . . . . . . . . . . . 61
7.3.14
Progress in Knowledge Check Over Time . . . . . . . . . . . . . . . . . . . 61
7.3.15
Detailed Progress History . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
CONTENTS
7.4
vii
7.3.16
Progress Report for a Single Student . . . . . . . . . . . . . . . . . . . . . 63
7.3.17
Time and Topic Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
7.3.18
Class Time and Topic Report . . . . . . . . . . . . . . . . . . . . . . . . . 64
7.3.19
Individual Time and Topic Report . . . . . . . . . . . . . . . . . . . . . . . 65
7.3.20
Knowledge Per Slice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66
7.3.21
Assignment Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
7.3.22
Scheduled Knowledge Check Report . . . . . . . . . . . . . . . . . . . . . . 67
7.3.23
Homework, Quiz, and Test Results
7.3.24
Standards Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68
7.3.25
QuickTables Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
7.3.26
Custom Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
. . . . . . . . . . . . . . . . . . . . . . 68
Class Creation and Configuration (Class Administration) . . . . . . . . . . . . . . . 73
7.4.1
Creating a Class . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
7.4.2
Class Creation Wizard . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
7.4.3
Save for Later or Cancel . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
7.4.4
Textbook Integration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
7.4.5
Set Objectives / Modules . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
7.4.6
Objective Completion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
7.4.7
Objectives Editor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
7.4.8
Edit Objective . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
7.4.9
Topic Recommendation Tool (TREC) . . . . . . . . . . . . . . . . . . . . . 81
7.4.10
Post Objective Progress Assessment . . . . . . . . . . . . . . . . . . . . . . 83
7.4.11
ALEKS 360 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
7.4.12
Content Editor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84
7.4.13
Section Level Content . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85
7.4.14
Supplementary Textbook Topics . . . . . . . . . . . . . . . . . . . . . . . . 85
7.4.15
Core Readiness Topics in the Content Editor . . . . . . . . . . . . . . . . . 85
7.4.16
Class Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85
7.4.17
Syllabus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86
7.4.18
Class Content . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87
7.4.19
Class Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87
viii
CONTENTS
7.5
7.4.20
Access Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88
7.4.21
Student Activity Notifications . . . . . . . . . . . . . . . . . . . . . . . . . 88
7.4.22
Learning Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89
7.4.23
Student Assessment Options . . . . . . . . . . . . . . . . . . . . . . . . . . 89
7.4.24
Worksheet Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89
7.4.25
QuickTables Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90
7.4.26
Implementation Information . . . . . . . . . . . . . . . . . . . . . . . . . . 90
7.4.27
Class Duplicate Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90
7.4.28
Gradebook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90
7.4.29
Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91
7.4.30
Incoming and Exiting Student Options . . . . . . . . . . . . . . . . . . . . 92
7.4.31
Share Class Access . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93
7.4.32
Student Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93
7.4.33
Class List . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94
7.4.34
Cleanup Tool . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94
7.4.35
Class Roster . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95
7.4.36
Financial Aid Code . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96
7.4.37
Forum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96
7.4.38
Calendar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96
7.4.39
Student View . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97
7.4.40
Class Archive . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97
7.4.41
Class Tools . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98
Assignments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98
7.5.1
Class Assignments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99
7.5.2
New Homework . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100
7.5.3
Name & Date . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101
7.5.4
Content . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102
7.5.5
Gradebook Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103
7.5.6
Advanced Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104
7.5.7
Grading Scale . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105
7.5.8
Edit Homework . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106
CONTENTS
7.6
ix
7.5.9
Scheduled Assessments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106
7.5.10
Scheduled Assignment Behaviors . . . . . . . . . . . . . . . . . . . . . . . . 107
7.5.11
Pie Mastery, Time, and Topic Categories . . . . . . . . . . . . . . . . . . . 108
Gradebook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110
7.6.1
Gradebook Interface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111
7.6.2
Gradebook Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112
7.6.3
Grading Scale for Total Grade . . . . . . . . . . . . . . . . . . . . . . . . . 115
7.6.4
Chapter or Objective Completion and the Gradebook . . . . . . . . . . . . 115
7.6.5
External Assignments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116
7.6.6
Adjust Student Scores . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117
7.6.7
Gradebook Log . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117
7.7
QuickTables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118
7.8
Student Administration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118
7.9
7.8.1
Account Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118
7.8.2
Move and Unenroll Student . . . . . . . . . . . . . . . . . . . . . . . . . . . 119
7.8.3
Student Cleanup Tool . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119
7.8.4
Student Gradebook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120
7.8.5
Student Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120
7.8.6
Student Assignments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120
7.8.7
Edit Extensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120
7.8.8
Student Worksheets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121
7.8.9
Request Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121
7.8.10
Cancel Current Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . 122
7.8.11
Student QuickTables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122
7.8.12
Student QuickTables Worksheet . . . . . . . . . . . . . . . . . . . . . . . . 123
Administrator Features . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123
7.9.1
Institution Account Summary . . . . . . . . . . . . . . . . . . . . . . . . . 123
7.9.2
Schedule Domain Upgrade . . . . . . . . . . . . . . . . . . . . . . . . . . . 124
7.9.3
Learning Management System (LMS) Integration . . . . . . . . . . . . . . 124
7.9.4
Instructor Roster . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126
7.9.5
Create New Instructor Account . . . . . . . . . . . . . . . . . . . . . . . . 126
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7.10
7.9.6
Subscription Management System . . . . . . . . . . . . . . . . . . . . . . . 127
7.9.7
Administrative Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127
7.9.8
Student Roster (Institution Level) . . . . . . . . . . . . . . . . . . . . . . . 128
Master Templates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129
7.10.1
Master Templates List . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130
7.10.2
Getting Started . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130
7.10.3
Master Template Basic Settings . . . . . . . . . . . . . . . . . . . . . . . . 131
7.10.4
Master Template (Class Summary) . . . . . . . . . . . . . . . . . . . . . . 132
7.10.5
Lockout Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132
7.10.6
Create Assignments in Master Template . . . . . . . . . . . . . . . . . . . 133
7.10.7
Create Linked Classes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134
7.10.8
Classes to be Assigned . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135
7.10.9
Create a Master Template from an Existing Class . . . . . . . . . . . . . . 136
7.10.10 Duplicate a Master Template . . . . . . . . . . . . . . . . . . . . . . . . . . 136
7.10.11 Archive Master Templates . . . . . . . . . . . . . . . . . . . . . . . . . . . 137
7.10.12 Delete Master Template . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137
7.10.13 Master Template Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138
7.10.14 Effects of Editing a Master Template . . . . . . . . . . . . . . . . . . . . . 138
7.11
District Features . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139
7.11.1
Account Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139
7.11.2
Learning Management System (LMS) Integration (District Level) . . . . . 139
7.11.3
Administrator Roster . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140
7.11.4
New Administrator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140
7.11.5
Class Activity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140
7.11.6
Student Roster (District Level) . . . . . . . . . . . . . . . . . . . . . . . . . 140
7.11.7
Subscription Management System (District Level) . . . . . . . . . . . . . . 141
7.11.8
Administrative Reports (District Level) . . . . . . . . . . . . . . . . . . . . 141
8 Teaching with ALEKS
143
8.1
The ALEKS Educational Paradigm . . . . . . . . . . . . . . . . . . . . . . . . . . . 143
8.2
The Instructor and ALEKS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144
CONTENTS
xi
8.3
Planning the ALEKS Class . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145
8.4
Preparing Your Students . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 146
8.5
Focused Instruction with ALEKS . . . . . . . . . . . . . . . . . . . . . . . . . . . . 146
8.6
Models of Classroom Integration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148
8.7
Monitoring Student Use . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 150
8.8
Monitoring the Progress of a Class . . . . . . . . . . . . . . . . . . . . . . . . . . . 150
8.9
Monitoring Individual Progress . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 150
8.10
Moving a Student to a New Class . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151
8.11
Ordering Assessments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151
8.12
Independent Study and Distance Learning . . . . . . . . . . . . . . . . . . . . . . . 151
8.13
The ALEKS Knowledge Structure . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152
8.14
Objectives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152
9 Knowledge Spaces and the Theory Behind ALEKS
155
9.1
History . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 155
9.2
Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 155
9.3
9.2.1
Domain, Items, and Instances . . . . . . . . . . . . . . . . . . . . . . . . . 155
9.2.2
Knowledge States . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156
9.2.3
Knowledge Structures and Knowledge Spaces . . . . . . . . . . . . . . . . . 158
9.2.4
Inner and Outer Fringes of a Knowledge State . . . . . . . . . . . . . . . . 158
9.2.5
Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159
Selected Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 160
167
10.1
General . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167
10.2
Technical . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 168
10.3
Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169
10.4
Assessments and Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 171
10.5
Learning Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172
10.6
Educational Use . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173
11 Support
175
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CONTENTS
APPENDICES
177
A ALEKS Student User’s Guide
177
A.1
System Requirements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177
A.2
Registration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177
A.3
Tools Tutorial . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 180
A.4
Knowledge Checks
A.5
A.6
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 180
A.4.1
Knowledge Checks in ALEKS . . . . . . . . . . . . . . . . . . . . . . . . . 181
A.4.2
Knowledge Check Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . 182
A.4.3
Knowledge Checks and Your Learning . . . . . . . . . . . . . . . . . . . . . 182
Home . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 182
A.5.1
ALEKS Timeline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183
A.5.2
ALEKS Pie and Details . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184
A.5.3
Primary Guidance Menu . . . . . . . . . . . . . . . . . . . . . . . . . . . . 186
A.5.4
Main Navigation Menu . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 186
A.5.5
Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 187
Learning Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 187
A.6.1
Learning Page/Problem Page/Explanation Page . . . . . . . . . . . . . . . 187
A.6.2
Progress Indicator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 188
A.6.3
Topic Carousel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189
A.6.4
Classes with Objectives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191
A.6.5
Locked Topics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191
A.7
Message Center . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 192
A.8
Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 192
A.9
A.8.1
Progress History . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193
A.8.2
Time and Topic Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193
A.8.3
Objective Details Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . 194
A.8.4
QuickTables Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 194
Assignments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 194
A.10 Gradebook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195
A.11 Student Account Home . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195
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xiii
A.11.1 Account Management . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 196
A.11.2 Class Management
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197
A.11.3 Suspend Account . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 198
A.11.4 Leave of Absence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199
A.12 QuickTables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199
B Syllabi in ALEKS
203
B.1
Basic Math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 203
B.2
Pre-Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 214
B.3
Pre-Algebra and Introductory Algebra . . . . . . . . . . . . . . . . . . . . . . . . . 225
B.4
Math Literacy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 243
B.5
Liberal Arts Math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 257
B.6
Beginning Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 268
B.7
Intro. to Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 283
B.8
Intermediate Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 287
B.9
Beginning and Intermediate Algebra Combined . . . . . . . . . . . . . . . . . . . . 301
B.10 Developmental Math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 317
B.11 College Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 337
B.12 Georgia MATH 0999-MATH 1111 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 354
B.13 New York MAT 117 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 368
B.14 Texas DMAT 0093-MATH 1314 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 385
B.15 College Algebra with Trigonometry . . . . . . . . . . . . . . . . . . . . . . . . . . . 399
B.16 PreCalculus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 419
B.17 STEM PreCalculus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 440
B.18 Trigonometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 460
B.19 Intro. to Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 476
B.20 Prep. for Beginning Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 479
B.21 Prep. for Intermediate Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 482
B.22 Prep. for College Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 486
B.23 Prep. for College Algebra with Trigonometry . . . . . . . . . . . . . . . . . . . . . . 492
B.24 Prep. for PreCalculus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 498
xiv
CONTENTS
B.25 Preparation for Calculus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 503
B.26 Prep. for Calculus with Limits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 511
B.27 Prep. for Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 519
B.28 Prep. for Math and Dosage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 521
B.29 Prep. for the CSU - ELM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 523
B.30 Florida Math 0018 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 534
B.31 Florida Math 0022 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 545
B.32 Florida Math 0028 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 563
B.33 NCCCS Developmental Math Module 010 . . . . . . . . . . . . . . . . . . . . . . . 577
B.34 NCCCS Developmental Math Module 020 . . . . . . . . . . . . . . . . . . . . . . . 594
B.35 NCCCS Developmental Math Module 030 . . . . . . . . . . . . . . . . . . . . . . . 612
B.36 NCCCS Developmental Math Module 040 . . . . . . . . . . . . . . . . . . . . . . . 629
B.37 NCCCS Developmental Math Module 050 . . . . . . . . . . . . . . . . . . . . . . . 646
B.38 NCCCS Developmental Math Module 060 . . . . . . . . . . . . . . . . . . . . . . . 664
B.39 NCCCS Developmental Math Module 070 . . . . . . . . . . . . . . . . . . . . . . . 681
B.40 NCCCS Developmental Math Module 080 . . . . . . . . . . . . . . . . . . . . . . . 698
B.41 Math Toolbox . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 716
B.42 Math Prep. for Elementary Education . . . . . . . . . . . . . . . . . . . . . . . . . 720
B.43 UNLV Liberal Arts Math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 726
B.44 Math Placement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 728
B.45 Tallahassee Community College Math Placement . . . . . . . . . . . . . . . . . . . 730
B.46 Tarrant Placement Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 734
B.47 Math Prep. for College Physics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 738
B.48 Essential Math Skills for Business . . . . . . . . . . . . . . . . . . . . . . . . . . . . 743
B.49 Business Math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 747
B.50 Business Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 750
B.51 Math Prep. for Accounting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 753
B.52 Statistics for the Behavioral Sciences . . . . . . . . . . . . . . . . . . . . . . . . . . 756
List of Figures
3.1
The ALEKS Website . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
5
3.2
System Requirements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
6
4.1
The Answer Editor for Mathematical Expressions (Assessment) . . . . . . . . . . . 13
4.2
Mathematical Expressions Produced by the Answer Editor . . . . . . . . . . . . . . 14
4.3
Using Special Keys in the Answer Editor . . . . . . . . . . . . . . . . . . . . . . . . 15
4.4
The Answer Editor for Graphing . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
4.5
The Answer Editor for Histograms . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
5.1
Practice Page . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
5.2
Explanation Page . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
5.3
Wrong Answer Page . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
5.4
Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
5.5
Worksheet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
6.1
6.2
Create a Table . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
6.3
QuickTables Class Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
6.4
QuickTables Reporting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
6.5
QuickTables Learning Display . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
6.6
QuickTables Games . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
6.7
QuickTables Games . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
7.1
Account Home Screen . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
7.2
Search Box . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
xv
xvi
LIST OF FIGURES
7.3
Main Navigation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
7.4
Sub-Navigation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
7.5
Dashboard . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
7.6
Account Drop-Down Menu . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
7.7
Account Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
7.8
Message Center . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
7.9
ALEKS Community . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
7.10
Student Roster (Instructor Level) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
7.11
Reporting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
7.12
ALEKS Pie . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
7.13
Student Mastery . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55
7.14
ALEKS Pie Report for a Single Student . . . . . . . . . . . . . . . . . . . . . . . . 57
7.15
Objective Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
7.16
Progress Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
7.17
Learning Progress Since Latest Knowledge Check . . . . . . . . . . . . . . . . . . . 59
7.18
Most Recent Knowledge Check
7.19
Best Performance in Learning Mode Over Time . . . . . . . . . . . . . . . . . . . . 60
7.20
Progress in Knowledge Check Over Time . . . . . . . . . . . . . . . . . . . . . . . . 61
7.21
Detailed Progress History . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
7.22
Progress History . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
7.23
Progress Report for a Single Student . . . . . . . . . . . . . . . . . . . . . . . . . . 63
7.24
Class Time and Topic Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
7.25
Individual Time and Topic Learning Log . . . . . . . . . . . . . . . . . . . . . . . . 65
7.26
Knowledge Per Slice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66
7.27
All Assignment Reports
7.28
Scheduled Assessment Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
7.29
Quiz Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68
7.30
Standards Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69
7.31
Custom Report Template . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
7.32
Creating the Custom Report Template . . . . . . . . . . . . . . . . . . . . . . . . . 71
7.33
Scheduling a Custom Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
LIST OF FIGURES
xvii
7.34
New Class . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
7.35
Class Information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
7.36
Resume/Discard . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
7.37
Objectives Editor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
7.38
Edit Objectives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
7.39
Topic Recommendation Tool (TREC) . . . . . . . . . . . . . . . . . . . . . . . . . . 81
7.40
Tagging Feature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82
7.41
Class Summary Part 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86
7.42
Class Summary Part 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87
7.43
Course Content . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88
7.44
Worksheet Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90
7.45
Class Duplicate Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91
7.46
Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92
7.47
Class List . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94
7.48
Class Roster . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95
7.49
Calendar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97
7.50
Class Tools . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98
7.51
Assignments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98
7.52
Assignment Status . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99
7.53
New Homework . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101
7.54
New Homework (cont.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104
7.55
New Homework (cont.) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105
7.56
Add an Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107
7.57
Pie Mastery Grade Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108
7.58
Time Grade Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109
7.59
Topic Grade Settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109
7.60
Gradebook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110
7.61
Gradebook Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113
7.62
Assignment Weights . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113
7.63
Grading Scale for Total Grade . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115
7.64
External Assignment Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116
xviii
LIST OF FIGURES
7.65
Student Account Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118
7.66
Move and Unenroll Student . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119
7.67
Edit Extensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121
7.68
Request Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121
7.69
Cancel Current Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122
7.70
Three levels of hierarchy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123
7.71
Learning Management System (LMS) Integration . . . . . . . . . . . . . . . . . . . 125
7.72
Instructor Roster . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126
7.73
Student Roster (Institution Level) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129
7.74
Master Template Sub-Navigation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130
7.75
New Master Template
7.76
Create Assignments in Master Template . . . . . . . . . . . . . . . . . . . . . . . . 133
7.77
Create Linked Classes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134
7.78
Classes to be Assigned . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135
7.79
Create a Master Template from an Existing Class . . . . . . . . . . . . . . . . . . . 136
7.80
Duplicate a Master Template
7.81
Tab Indications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139
7.82
Account Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139
7.83
Administrator Roster . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140
7.84
New Administrator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141
9.1
Domain of Basic Math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156
9.2
Knowledge State . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157
9.3
Learning Path . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157
9.4
Outer Fringe of a Knowledge State . . . . . . . . . . . . . . . . . . . . . . . . . . . 158
9.5
Inner Fringe of a Knowledge State . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159
10.1
System Requirements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169
A.1
The ALEKS Website . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 178
A.2
Class Code . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 179
A.3
Access Code . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 179
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136
LIST OF FIGURES
xix
A.4
The Answer Editor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 180
A.5
Knowledge Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181
A.6
ALEKS Timeline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183
A.7
Timeline Icons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184
A.8
ALEKS Pie . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 185
A.9
Main Navigation Menu . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 187
A.10 Learning Page . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 188
A.11 Topic Carousel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189
A.12 Topic Icons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189
A.13 Objectives/Ready to Learn Drop-Down Menu . . . . . . . . . . . . . . . . . . . . . 190
A.14 Report Dashboard . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193
A.15 Assignments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 194
A.16 Student Gradebook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195
A.17 Student Account Home Main Screen . . . . . . . . . . . . . . . . . . . . . . . . . . 196
A.18 ALEKS QuickTables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199
A.19 QuickTables Learning Display . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 200
xx
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 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 syllabi 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, from work, or
from the classroom! ALEKS can also be integrated with a variety of textbooks and other
online learning resources. No setup fees or site licenses are required. 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.
ALEKS is sold to the student as a subscription. The student purchases a User’s Guide
with Student Access Code, usually through a bookstore or online. Using the Student
Access Code along with the Course Code provided by the instructor, the student registers on the ALEKS website.
ALEKS can be adopted in one of two ways:
 ALEKS may be adopted as a supplement to a McGraw-Hill textbook. In this case,
the student subscription cost is similar to the cost of a traditional print supplement,
such as a study guide or student solutions manual. For McGraw-Hill textbooks,
ALEKS allows the student to see references to the textbooks and provides links to
xxi
xxii
PREFACE
the McGraw-Hill book-specific websites. These websites include additional tutorial material and interactive applications that supplement the explanations within
ALEKS. Students will need to purchase a McGraw-Hill textbook bundled with the
User’s Guide with Student Access Code.
 ALEKS may be adopted as a stand-alone item. In this case, the instructor adopts
ALEKS alone, and the students purchase the User’s Guide with Student Access
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 (https://www.aleks.com, Fig. 3.1). 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 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
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, college,
and system levels.
The core of the system is an efficient, adaptive assessment engine that determines quickly
and precisely what an individual student knows (an assessment is also called a knowledge
check). Based on assessment data, the system is able to offer material that the student
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
1.2
CHAPTER 1. INTRODUCTION
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
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
Manual. Feel free to use the system now. If questions arise, or if you
a convenient and comprehensive reference.
NOTE. For a brief, comprehensive overview of ALEKS, turn directly to the “Frequently
 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 (or Knowledge Check), and entry into the Learning Mode).
 Chapters 4 through 7 contain descriptions of the principal parts of the ALEKS
system: Assessment Mode, Learning Mode, and the Instructor Module.
 QuickTables, a tool for mastering math facts, is described in Chapter 6.
 The Instructor Module is discussed in Chapter 7.
 Chapter 8 is a brief guide to teaching with ALEKS, describing a range of scenarios
and the ALEKS features that support them.
 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
ALEKS. Chapter 11 gives the information necessary for obtaining technical and
other support.
 The ALEKS User’s Guide is available to all students from the ALEKS website.
The User’s Guide is reproduced here in Appendix A. Unlike the other chapters
of the ALEKS Instructor’s Manual, Appendix A is addressed to student users of
the system. It covers technical requirements, installation, registration, the Tutorial, and ordinary use of the system, as well as guidelines for effective use and
troubleshooting tips. Appendix A can be used by instructors to obtain a brief
but complete picture of how the system is used. 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.
This code should be given to students to use in registration, together with their Student
Students should not use the Student Access Code and Class Code to register a second
time, as they will not be able to create a new account this way.
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 or knowledge check.)
To obtain the Class Code for any class, log on to your instructor account,
on the Instructor Administration menu, select Class List (Sec. 7.4.33). 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
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.
2.2
Registering Students
Students should use the following steps to register.
3
4
CHAPTER 2. QUICK START
1. Go to the ALEKS website.
https://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. Indicate whether you are a new or an existing ALEKS user.
6. Enter the Student Access Code.
7. Enter other information as prompted and choose a password.
8. Record the Login Name provided by the system.
9. Begin using ALEKS by taking the student tutorial and an Initial Assessment
(Knowledge Check).
Students will subsequently use their Login Name and Password to enter their accounts.
Chapter 3
Setup Guide for Instructors
3.1
Instructor Preparation
Figure 3.1: The ALEKS Website
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 Manual, 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).
5
6
CHAPTER 3. SETUP GUIDE FOR INSTRUCTORS
3.2
System Requirements
The following table presents the system requirements for ALEKS in summary form.
Operating System
Processor
RAM Memory
Browser
Screen Resolution
PC
Windows 7+
Any
64+ MB
Explorer 11+, Firefox
25+, Chrome 30+
1024x768
Macintosh
MacOS 10.7+
Any
64+ MB
Safari 6+, Firefox
25+, Chrome 30+
1024x768
Chromebook
Chrome OS
Any
Any
Chrome 30+
Any
Figure 3.2: System Requirements
Tablets. All courses are desktop and tablet compatible with the exception of Intro. to
Statistics, Business Statistics, Statistics for the Behavioral Sciences, Prep. for Statistics,
Math Prep. for Accounting, Essential Math Skills for Business, and Business Math.
These courses are not compatible with tablet devices.
Note that any kind of Internet connection (cable, ISDN, DSL, or wireless) usually
available in a computer lab is adequate for use with ALEKS.
3.3
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.
3.4
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. Students can access the ALEKS User’s Guide from the
ALEKS website. Encourage students to familiarize themselves with this brief guide.
You should remind your students to bring their Student Access Code to the first session of class. It is also advisable for students to have pencil and paper for assessments
3.5. REGISTRATION
(knowledge checks) 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
knowledge checks (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.
3.5
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.
NOTE. In order to register, all students must have both their Student Access Code
and 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 User’s 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.
3.6
Tutorial
Following Registration, the students enter a brief tutorial on the use of ALEKS input
tools, also called the Answer Editor Tutorial (Sec. 4.4). 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.
7
8
3.7
CHAPTER 3. SETUP GUIDE FOR INSTRUCTORS
First Assessment
Immediately after the tutorial, students proceed to their Initial Assessment or Knowledge Check (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.
3.8
Report Tutorial
At the conclusion of the Initial Knowledge Check (Assessment), the student is given a
brief tutorial on how to interpret the Assessment Report.
3.9
Beginning the Learning Mode
Students enter the Learning Mode by clicking on one of the 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
important for when they will have to use ALEKS unsupervised.
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. The terms “knowledge check” and “assessment” are
synonymous and will be used interchangeably.
4.1
Assessments in ALEKS
The ALEKS assessment (knowledge check) uses open-ended problems (no multiplechoice 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, midterm, 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. 3.7). The student is clearly informed that the assessment
(knowledge check) 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 don’t know). In Assessment Mode, the system does not inform the student
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CHAPTER 4. ASSESSMENT MODE
whether their answer is correct or incorrect. The assessment continues until 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.
Information on the reports available to students, including reports on knowledge checks (assessments), can be found in Appendix A.
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. 3.7).
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 don’t know 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 knowledge checks (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. 3.7). 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. 7.4.23).
4.3. HOW ASSESSMENTS ARE TRIGGERED
4.3.2
Automatic Assessments
Additional assessments (knowledge checks) 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.
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
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
Students can see when their next Knowledge Check is coming up by clicking on the
Knowledge Check icon on their Home page, next to the Timeline/ALEKS Pie switch.
When it is time for the Knowledge Check, they will see a notification, and they will
have 24 hours to begin it (the exact period may be different if you set it differently for
your class). Before beginning the Knowledge Check, the student should be encouraged
to review by clicking on Review for Knowledge Check; this option appears under
Note that a Progress, Login Time, or Periodic Assessment (Knowledge Check) “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
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CHAPTER 4. ASSESSMENT MODE
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.
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 the Assignment tab, then again on Assignments, and then select Scheduled
Assessment under New Assignment. For example, the instructor, department, or
college may wish to have “midterm” 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.
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.
4.4
Figure 4.1: The Answer Editor for Mathematical Expressions (Assessment)
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, including: an Answer Editor
for mathematical expressions, an Answer Editor for the numberline, 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. 3.6). Also, context-sensitive help is available on use of
Answer Editor through the ? icon next to the buttons on the tool palette.
In much of what follows, 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.
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CHAPTER 4. ASSESSMENT MODE
4.5
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). 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
Square Root
Fraction
p
[ ] [ ]
[ ]
[ ]
Keyboard equivalent
(none)
/
Mixed Number
Repeating Decimal
Absolute Value
List of Expressions
Exponent
Multiplication Expression
Percentage
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)
,
∧ (before exponent)
∗
%
>
<
(none)
(none)
=
(none)
(none)
(none)
Figure 4.2: Mathematical Expressions Produced by the Answer Editor
4.5.1
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
4.6. MATHEMATICAL EXPRESSIONS
Key
Right arrow Tab - Enter Spacebar
Left arrow
Backspace
Effect
moves the cursor one place to the right
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).
4.5.2
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).
4.5.3
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).
4.5.4
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).
4.6
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
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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.
4.6.1
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).
4.6.2
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.
4.6.3
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.
4.6.4
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.
4.7. TYPES OF MATHEMATICAL EXPRESSIONS
4.6.5
Other Mathematical Signs
The following mathematical signs can be entered only from the keyboard:
 The plus sign (+).
 The minus sign (-), both for connecting the two parts of a subtraction expression
and for designating a negative number.
 The period (.) used in decimals.
 The comma (,) used to punctuate numbers of more than three places.
4.6.6
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
4.6.7
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.
4.7
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:
 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.
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CHAPTER 4. ASSESSMENT MODE
7
10
Fraction
Fractions can be entered in at least three ways:
 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 78
Mixed numbers can be entered in more than one way, but each way requires use
of the mixed number button:
 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
 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.
q
5
Fraction in square root followed by multiplier
8 ×3
For this example only one input method is given, but others could be suggested:
 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:
 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.
19
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
 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|
 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
32
 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. 4.6.3).
√
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:
 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.
4.8
The following types of mathematical expressions occur in more advanced subjects.
20
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.
4.9
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
4.10. THE ANSWER EDITOR FOR HISTOGRAMS
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.
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 numberline, select the eraser tool and click on any part of a line, arc, or
other component to remove it.
4.10
The Answer Editor for histograms consists of a space for drawing histograms and icons
(buttons) for creating and adjusting bars (Fig. 4.5).
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.
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CHAPTER 4. ASSESSMENT MODE
Figure 4.5: The Answer Editor for Histograms
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.
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).
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CHAPTER 5. LEARNING MODE
5.2
Interface Features
The features of the Learning Mode interface 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.
For a detailed description of the features of the student interface in ALEKS, please see
Appendix A, the User’s Guide.
5.3
The Learning Mode Workflow
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. Students receive
immediate feedback on their answers. Examples of how to solve the problems will be
displayed on the “Explain” pages. The “Explain” pages link to definitions of terms and
a comprehensive dictionary.
5.3.1
Practice Page
Figure 5.1: Practice Page
When a student chooses to begin work on a topic, ALEKS 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. 5.1). 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.
5.3. THE LEARNING MODE WORKFLOW
Below the Answer Editor are buttons labeled Explanation and Check. Clicking on
Check 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 student will receive a congratulatory message.
When the student clicks Next, a new problem is presented. In the case where the
topic is considered mastered, the student will receive a congratulatory message and the
system will offer to suggest new topics.
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 the
Explanation button.
5.3.2
Explanation Page
Figure 5.2: Explanation Page
The Explanation Page (Fig. 5.2) 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,
an icon will appear on the right of the Explanation page, linking to a reference or to an
online textbook. Additional tutorial material and interactive applications may also be
found through other icons at the right of the Explanation Page.
Certain parts of the Explanation may be expanded by clicking on a More icon. 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 Start 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.
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CHAPTER 5. LEARNING MODE
5.3.3
The Wrong Answer Page will appear only after an incorrect answer has been submitted
on the practice page (Fig. 5.3). The system may explain why the answer is incorrect
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 Explanation 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. 5.3). 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
A student using ALEKS can review topics recently mastered in the Learning Mode or
Assessment by selecting the Review filter in the topic carousel (Fig. 5.4). Clicking on
any of these topics provides the chance for additional practice; this is particularly useful
when the student knows that a new assessment (knowledge check) is imminent.
5.6. WORKSHEET
27
Figure 5.4: Review
NOTE. Work done in Review mode does not affect the student’s pie chart or progress
records.
5.6
Worksheet
Clicking the Worksheet button in the Main Navigation Menu (upper left) lets the student generate an individualized, printable homework sheet (in PDF format) containing
a number of questions based on the student’s most recent work in ALEKS (Fig. 5.5).
When the student does this, a sheet containing answers for this individual worksheet
(labeled with the student’s name and the date) is sent to the instructor via the ALEKS
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
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
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.
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CHAPTER 5. LEARNING MODE
Figure 5.5: 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. 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).
6.1.1
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
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CHAPTER 6. QUICKTABLES
(Fig. 6.1).
The available options are:
 Create a Table (Sec. 6.1.2)
 Edit Tables (Sec. 6.1.3)
 QuickTables Class Settings (Sec. 6.1.4)
 QuickTables Game Settings (Sec. 6.1.5)
 QuickTables Retention Assessment Settings (Sec. 6.1.6)
 QuickTables Student Settings (Sec. 6.1.7)
 QuickTables Assignments (Sec. 6.2)
 QuickTables Reports (Sec. 6.3)
6.1.2
Create a Table
Figure 6.2: Create a Table
6.1. SETTING UP QUICKTABLES FOR YOUR CLASS
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).
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:
 Reassign Students to a table(s).
 Delete a table.
 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:
 The daily time limit for the entire QuickTables session (default 15 minutes).
 The maximum number of days QuickTables can be used each week (default 3
days).
 The tutor character.
 The Game Settings (Sec. 6.1.5).
 The Retention Assessment Settings (Sec. 6.1.6).
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CHAPTER 6. QUICKTABLES
Figure 6.3: QuickTables Class Settings
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
6.1. SETTING UP QUICKTABLES FOR YOUR CLASS
daily time limit for QuickTables (first setting at the top of the QuickTables Course
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.
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.
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CHAPTER 6. QUICKTABLES
6.1.7
QuickTables Student Settings
To modify student settings, from the QuickTables sub-navigation, select Student
Settings.
 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.
 On-screen timer is the the display of the time elapsed for a problem. You can
hide or show this timer.
 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 QuickTables 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. QUICKTABLES ASSIGNMENTS
6.2.2
QuickTables Quiz
Instructors can create a QuickTables quiz for a single student or for the entire class.
To schedule a Quiz:
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.
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.
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CHAPTER 6. QUICKTABLES
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:
 Progress
 Quiz
 Scheduled Assessments
6.3.1
QuickTables Progress Reports
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):
 The total time spent in QuickTables since completion of the typing tutorial.
 The assessment date, which is the date the assessment was completed.
6.3. REPORTING YOUR STUDENTS’ PROGRESS IN QUICKTABLES
 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.
To print the QuickTables progress report, use the ALEKS Print button to upper right;
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.
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:
 The date the quiz was submitted.
 The timer setting, meaning how long the student has to answer each question.
 The total time spent in the quiz.
 The percentage score. (You can click on the link to the right of a student’s score
to see the results in greater detail.)
The student data may be ordered by any of the green clickable column headings. To
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:
 The date of the assessment.
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CHAPTER 6. QUICKTABLES
 The time spend on the assessment.
 The results of the assessment.
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
6.4
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.
6.4. HOW YOUR STUDENTS USE QUICKTABLES
Figure 6.5: QuickTables Learning Display
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
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
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CHAPTER 6. QUICKTABLES
Figure 6.6: QuickTables Games
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.
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
Students who complete a QuickTables table can print a certificate of completion by
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).
6.4. HOW YOUR STUDENTS USE QUICKTABLES
Figure 6.7: QuickTables Games
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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.
7.1
There are several ways to navigate the Instructor Module. They include using the search
are described below.
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CHAPTER 7. INSTRUCTOR MODULE
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 (Fig. 7.2).
It can be used to search all pages in the Instructor Module with the exception of the
ALEKS Community and the Class Forum. To search for a class, student, or assignment
type in a search query and then select the Enter key. Alternatively, you can type in a
search query and then click the search icon next to the search box.
7.1.2
Instructors have access to a two-level hierarchy: class and student (Fig. 7.3). 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
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
dashboard.
7.1.3
(class or student) (Fig. 7.4). To return to the tab level, click on the top of the appropriate
tab to make it active again.
45
Figure 7.5: Dashboard
7.1.4
Dashboard
The Dashboard displays quick overviews of important data applicable to the level currently selected (Fig. 7.5). 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:
1. Press and hold your finger on the tablet screen over the title of the dashboard tile.
2. Drag the tile to the desired location.
3. 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.
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CHAPTER 7. INSTRUCTOR MODULE
To rearrange dashboard tiles on a computer or laptop:
1. Move the mouse over the title of the dashboard tile.
2. Click and hold. You will see the tile become slightly larger.
3. Move the tile to the desired location.
4. 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 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 home screen for the currently active account.
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 (Fig. 7.6). Details for each option are given below.
7.2. INSTRUCTOR ACCOUNT
7.2.1
47
Account Settings
Figure 7.7: Account Summary
The Account Summary page contains your account settings, contact information,
and email preferences (Fig. 7.7). You can access this screen by selecting Settings
from the account drop-down, or by clicking Account Summary under Instructor
7.2.2
Message Center
Figure 7.8: Message Center
48
CHAPTER 7. INSTRUCTOR MODULE
The ALEKS Message Center is where messages can be sent from instructor to
student and to ALEKS Customer Support (Fig. 7.8). 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.
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 Guides
The following online documents are accessible directly from the ALEKS instructor and
 Reference Guide is a summary of features of the Instructor Module.
 Quick Start Guide outlines the most important features and functions within
ALEKS so instructors can easily began working in ALEKS.
 New SM Reference Guide provides an overview of the new Student Module
and its features.
7.2.4
Customer Support
Clicking on Customer Support in the instructor or administrator account drop-down
menu opens an ALEKS customer support form.
7.2. INSTRUCTOR ACCOUNT
7.2.5
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 for an upcoming ALEKS
overview session, and view On-demand videos of popular ALEKS features and tasks.
7.2.6
Log Out
To end your ALEKS session, select Log Out from the account drop-down, or simply
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 (Fig. 7.9). 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 (Fig. 7.10).
Instructors can use the following filters to display various groups of students:
Active
All students currently in the class are tagged as active and displayed by default.
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CHAPTER 7. INSTRUCTOR MODULE
Figure 7.10: Student Roster (Instructor Level)
Former
Students are tagged with this status when they were in this class and have moved
out of the class into another class, but their records still appear in this class.
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 settings will display information for Active students. Instructors
can use the Class Roster to view students information in a selected class (Sec. 7.4.35).
registered at the school (Sec. 7.9.8).
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.
7.3. REPORTS
51
Figure 7.11: Reporting
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:
 ALEKS Pie (Sec. 7.3.6)
 Progress (Sec. 7.3.10)
 Time and Topic (Sec. 7.3.17)
 Knowledge Per Slice (Sec. 7.3.20)
 Assignments (Sec. 7.3.21)
 Standards (Sec. 7.3.24)
 QuickTables (Sec. 7.3.25)
 Custom Reports (Sec. 7.3.26)
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 desired report
7.3.2
Reporting data can be printed or downloaded from any of the report styles. Use the
on the down arrow, and then select XLS.
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CHAPTER 7. INSTRUCTOR MODULE
7.3.3
Send Message to Selected Students
Instructors can send messages to selected students from within most class reports, the
class roster, and the Gradebook as follows:
 To select specific students, click on the numbered icon or checkbox next to students’
names. The icons will change from grey to yellow, while the checkbox will contain
a mark. Re-clicking on the icon or checkbox will deselect the student.
 By clicking on All or the checkbox next to Name, instructors can select all students in the list.
 Clicking on the Send Message to Selected Students link or Send Msg icon
opens a message in the ALEKS Inbox. The students’ names will be pre-filled in
the “Bcc” field of the email message (thus recipients of a group message do not
know who the other recipients are).
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:
 ALEKS Pie Report for a Single Student (Sec. 7.3.8)
 Progress Report for the Class (Detailed Progress History) (Sec. 7.3.15)
 Progress Report for a Single Student (Sec. 7.3.16)
NOTE. Depending on the options selected by the administrator at the school, instructors are able to see report history only for the classes they have taught or 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 a knowledge check.
7.3. REPORTS
Light Blue
Means that tentative mastery was achieved in Learning Mode.
Grey
Indicates the part of the course material not mastered.
Blank (white)
Indicates a knowledge check is in progress.
Aquamarine
Shows progress made between the first and latest knowledge check.
Asterisk
Appearing by a greyed-out bar graph or any other color indicates, in some
reports, that a new knowledge check 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 Course Progress 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 knowledge checks
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:
 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. 7.3.16).
 Clicking on the date for a knowledge check takes you to a detailed (pie chart)
report for that knowledge check (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.
7.3.6
ALEKS Pie
53
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CHAPTER 7. INSTRUCTOR MODULE
Figure 7.12: ALEKS Pie
The class report shows the average learning for the class and a detailed view of topic
mastery (Fig. 7.12).
This report only includes results for students who have completed at least an Initial
Knowledge Check. The ALEKS Pie Mastery for all students in the class and the number
of topics completed are initially displayed in the top right.
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
knowledge check, 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
Instructors can use the Show drop-down menu to filter the report by Current Progress,
Most Recent Knowledge Check, or Initial Knowledge Check.
 In the Current Progress view, the main Ready to Learn Topics for the entire
pie are listed to the right of the pie.
 In the Most Recent Knowledge Check view, the main Topics Lost in Recent
Knowledge Check for the entire pie are listed. This shows data based on the most
recent knowledge check results.
 In the Initial Knowledge Check view, the main Topics Mastered in Initial
Knowledge Check for the entire pie are listed.
7.3. REPORTS
55
Figure 7.13: Student Mastery
These views of student results may be 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 most ready
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.
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
The columns in this report have different meanings, depending on the current view:
Under Current Progress, you see:
Mastered
These are topics added to the pie after knowledge check in learning mode.
Remaining
These are topics the students have not shown mastery of, whether they have attempted them or not.
This is a subset of the not mastered category, and are the topics the students are
Attempted, not mastered
This is a subset of the Remaining category, and are the topics the students have
attempted but not mastered.
Under Most Recent Knowledge Check, you see:
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CHAPTER 7. INSTRUCTOR MODULE
Mastered
These are the topics known based on the most recent knowledge check.
Remaining
These are the topics the students do not know, based on the most recent knowledge
check.
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 knowledge check.
Lost in Recent Knowledge Check
These are topics the students knew at one point but have lost, because the most
recent knowledge check determined that the students did not know the topic anymore.
Under Initial Knowledge Check, you see:
Mastered
These are the topics known based on the Initial Knowledge Check.
Remaining
These are the topics the students do not know, based on the Initial Knowledge
Check.
This is what the students are ready to learn now, based on the Initial Knowledge
Check.
Other features:
 If you click on the percent link for a topic, you will see a breakdown of student
mastery of that topic.
 You can send messages to students directly from this report.
 You can view additional topics that a group of students is ready to learn.
 The objectives tab (when present), will contain prerequisite topics if the TREC
tool added items to the class (Sec. 7.4.9).
Excel downloads. Students who have not taken an Initial Knowledge Check 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 objectives are set up in the class.
7.3. REPORTS
57
Figure 7.14: ALEKS Pie Report for a Single Student
7.3.8
ALEKS Pie Report for a Single Student
This report displays a pie chart for a single student, which by default will represent the
most recent period of Knowledge Check and Learning (Fig. 7.14). Reports for other
periods may be chosen by selecting dates from the drop-down menu at the top of the
page The report will show the results of the most recent Knowledge Check, along with
any progress made in Learning subsequent to that Knowledge Check.
The shading on the pie chart indicates the level of the student’s mastery in each area: the
shaded portion represents what the student has mastered, and the unshaded portion
represents what the student has yet to learn. To the right of the pie chart are tiles
for each individual pie slice, showing a breakdown of what material the student has
mastered, learned, and has left to learn. To see a complete list of the topics in each
category, click on the View All Topics toggle below the tiles. The list will update
based on which tile the user has selected. Click on a topic to generate a unique instance
of the problem and an explanation of the instance.
7.3.9
Objective Report
The Objective Report is a scrollable list of tiles for each objective in the course (Fig. 7.15).
Each tile summarizes the student’s progress for a particular objective at the time the
report is generated. The tiles display the due date of the objective (future objectives)
or the date the student completed the objective (past objectives), the score achieved,
the number of items making up the objective, and the number of goal topics remaining.
Beneath the tiles are expandable lists of topics, broken down by category: Ready to
Learn, Learned, Mastered, and Locked. (“Locked” topics are those for which the student
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CHAPTER 7. INSTRUCTOR MODULE
Figure 7.15: Objective Report
has prerequisite topics left to complete.) To see a full list of topics, click on the View
All Topics toggle. Double-click on a topic to see a sample question and corresponding
explanation.
7.3.10
Progress Reports
Figure 7.16: Progress Reports
Using the Progress Reports, instructors can view student progress on knowledge
checks and in Learning Mode at various time intervals (Fig. 7.16). 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. A description of the report selected will be
In class-level Progress reports, clicking on a student’s name will take the instructor to
the individual progress report for the student (Sec. 7.3.16). Clicking on an knowledge
check 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).
7.3. REPORTS
59
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.
7.3.11
Learning Progress Since Latest Knowledge Check
Figure 7.17: Learning Progress Since Latest Knowledge Check
This report shows each student’s progress in Learning Mode since the most recent
knowledge check (Fig. 7.17). It includes total hours spent in ALEKS, the last login
date, the last knowledge check start and end date, total time in knowledge check, course
performance displayed in a bar graph, and learning rates. There are several ways this
report can be used:
 Identify which students are ahead, on pace, or behind in the class.
 Determine learning rates to use in assigning performance grades or for data tracking
purposes.
 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.
7.3.12
Most Recent Knowledge Check
This report can be used to view each student’s mastery based on the most recent
knowledge check taken (Fig. 7.18).
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CHAPTER 7. INSTRUCTOR MODULE
Figure 7.18: Most Recent Knowledge Check
Figure 7.19: Best Performance in Learning Mode Over Time
7.3. REPORTS
7.3.13
61
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. 7.19). Set the date range using
the Change link, then click Apply.
7.3.14
Progress in Knowledge Check Over Time
Figure 7.20: Progress in Knowledge Check Over Time
This report can be used to view each student’s progress between the first and last
knowledge checks within any date range up to one year in the past (Fig. 7.20). Set the
date range using the Change link, then click Apply.
7.3.15
Detailed Progress History
This report is an expanded version of Learning Progress Since Latest Knowledge
Check (Fig. 7.21). It shows a segment of the student’s learning history, including
knowledge checks 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) (Fig. 7.22). The current class can be distinguished by the (Current
Class) label.
 Each bar graph represents an knowledge check taken by the student.
 The bar graphs are stacked, the earliest on the bottom and the most recent at the
top.
 The date and reason for the knowledge check are to the left of each bar graph.
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Figure 7.21: Detailed Progress History
Figure 7.22: Progress History
7.3. REPORTS
7.3.16
63
Progress Report for a Single Student
Figure 7.23: 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 (Fig. 7.23). There is
one row for each knowledge check that the student has taken, with dates (linked to the
Report page for that knowledge check). Clicking on the All Results tab will display
the student’s current and previous class progress results (if applicable). Clicking on an
knowledge check 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).
 The blue portion of each bar graph measures the student’s mastery as of the given
knowledge check.
 The light blue portion of the bar measures progress made in the Learning Mode
subsequent to that knowledge check (but before the next knowledge check, if there
is one).
 The percentage values beneath the bars for the blue and light blue portions represent the knowledge check mastery, and subsequent progress in Learning Mode
respectively. For example, 57+9% means that the last knowledge check showed
57% mastery, and that subsequent work in the Learning Mode added another 9%
mastery for a total of 66%.
 Information on each knowledge check and total hours spent subsequently in the
Learning Mode (up to the time of the next knowledge check) is also provided, with
average numbers of items gained per hour.
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CHAPTER 7. INSTRUCTOR MODULE
7.3.17
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.)
7.3.18
Class Time and Topic Report
Figure 7.24: Class Time and Topic Report
The following points describe the features of the class Time and Topic Report (Fig. 7.24):
 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.
 The graph shows for each day the total time, average time, total topics, or average
topics.
7.3. REPORTS
65
 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.
 The number of topics mastered versus the number attempted is displayed below
the daily time log.
 If a student has spent some time on an ALEKS knowledge check during that day,
the session will be marked with a blue triangle in the upper right-hand corner.
 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 knowledge check the
student has done. Work done in QuickTables is not included in the report.
 Clicking on an individual student name will take you to the Individual Time and
Topic report for that student (Sec. 7.3.19).
7.3.19
Individual Time and Topic Report
Figure 7.25: Individual Time and Topic Learning Log
The Individual Time and Topic report gives detailed information on the topics each
student has attempted and mastered (Fig. 7.25). To see the student’s Learning Sequence
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CHAPTER 7. INSTRUCTOR MODULE
Log on a certain date, click on the grey column above the date. The Learning Sequence
Log will display the time and result of the attempted topic. By clicking on the Result
icon below the name of the topic (Wrong, Correct, or Success), you can see specific
problem the student worked on, along with their answer and the solution.
A wider date range can be chosen for the individual report, up to six months at a time.
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.
7.3.20
Knowledge Per Slice
Figure 7.26: Knowledge Per Slice
This report shows each student’s current mastery for each ALEKS pie slice in the
class and can be generated for the entire class or for individual students (Fig. 7.26).
It includes overall class mastery, followed by a breakdown of progress in each pie slice.
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
time spent in ALEKS, average topic mastery, and a comparison between the beginning
knowledge state (based on the Initial Knowledge Check) and the current knowledge
state for each pie slice. The report shows this data for both the class and individual
student.
7.3. REPORTS
7.3.21
67
Assignment Reports
Figure 7.27: 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 (Fig. 7.27).
The Show drop-down menu can be used to filter the assignments by Homework, Quiz,
Test, or Knowledge Check. Clicking on an assignment name will show the detailed
class results for that assignment.
7.3.22
Scheduled Knowledge Check Report
Figure 7.28: 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. 7.28).
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CHAPTER 7. INSTRUCTOR MODULE
 A menu at the top of the display can be used to choose earlier scheduled assessments.
 The blue portion of each bar graph shows the student’s knowledge as measured by
the assessment.
 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.
7.3.23
Homework, Quiz, and Test Results
Figure 7.29: Quiz Results
This report shows the results on any given quiz and can be generated for the class or for
individual students (Fig. 7.29). 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.
7.3.24
Standards Report
Some ALEKS course products are aligned with external standards. For these classes,
reporting will be available based on the applicable standard (Fig. 7.30).
The principal display of the Standards Report is a set of vertical bar graphs, showing
the class average mastery of each of the main strands of the standard. The bars are
labeled with the names of the strands, and below each there is a ratio showing the
specific level of mastery for that strand. For example, “9.4 of 11” under Real Numbers
7.3. REPORTS
69
Figure 7.30: Standards Report
and Linear Functions means that the class has mastered 9.4 out of the 11 substrands
belonging to this strand.
The following options are available for the Standards Report:
Mastery
By default, a student shows “mastery” of a substrand of the standard by showing
knowledge of 50% of the supporting topics in ALEKS. This has proven to be
the most meaningful percentage to use in this report, due to extensive overlap
in ALEKS’s coverage of the substrands (i.e., the same ALEKS topics tend to
support multiple substrands). The instructor has the option, however, of raising
the percentage required for “mastery” to 60% or 70%. The level of mastery for
each strand is the average of the levels of mastery of individuals in the class.
Display Mode
By default, the report is based on knowledge shown by the students of the class in
their most recent ALEKS Knowledge Check. This can be changed to reflect only
the students’ Initial Knowledge Check: this shows the level of mastery at which
they began their work in the class. It can also be changed to show the results of
their most recent work in the Learning Mode: this will tend to represent a higher
level of mastery for all students.
Select Students
By default, the work of all students who have been active in ALEKS is represented.
This option can be changed to require certain minimum amounts of time spent in
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CHAPTER 7. INSTRUCTOR MODULE
the system (e.g., 10 hours, 20 hours, etc.). For example, if 20 hours is selected
from this menu, the report will only reflect the work of students who have spent
20 hours or more working in this ALEKS class. Trying different values from this
menu may be a good illustration of the effect of students’ work in ALEKS on their
math knowledge, as the students spending more time will tend to have significantly
higher levels of mastery.
Changing the values for these options will affect various parts of the Standards Report.
Breakdown by standard
Underneath the bar graphs is a breakdown of the percentage of students who have
mastered particular substrands. For example, “87% mastery” following the name
of a substrand indicates that 87% of the students in the class have shown mastery
of this substrand (see above for the meaning of “mastery”). Clicking on this link
opens a list of the students with mastery, along with other detailed information
about the substrand, including the specific topics in ALEKS that support it.
Breakdown by student
If you click this link, the bottom of the display will change to show the individual
levels of mastery of the entire standard for all of the students in the class. For
example, “15%” after a student’s name indicates that the student has mastered
15% of the strands of the standard. Clicking on this link will open a list of specific
substrands mastered and not mastered by the student.
7.3.25
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.
7.3.26
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
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.
7.3. REPORTS
71
Figure 7.31: Custom Report Template
Figure 7.32: Creating the Custom Report Template
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CHAPTER 7. INSTRUCTOR MODULE
Figure 7.33: Scheduling a Custom Report
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. 7.31). 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.
The following information must be selected when creating the template:
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. 7.32).
7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION)
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. 7.33):
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.
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 (Fig. 7.34):
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.
73
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CHAPTER 7. INSTRUCTOR MODULE
Figure 7.34: 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 Duplicate 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 (Fig. 7.35).
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. 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)
Figure 7.35: Class Information
The class dates are used to configure the Calendar, and should include the entire
period of time that the students will be using ALEKS (Sec. 7.4.38). By default,
the class will be automatically archived after the class end date unless this option
is deselected (Sec. 7.4.40).
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.
Accessibility mode for visually impaired students can be set at the class level or
student level. Turning on this setting will allow a visually impaired student to use
JAWS screen reader technology with ALEKS.
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.
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7.4.3
Save for Later or Cancel
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
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.
Note that using the Save for Later or Save and Exit options saves the data, but
that 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
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.
Textbooks appearing in the list with “ALEKS 360” after the name are available with
an optional eBook (Sec. 7.4.11).
7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION)
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 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
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.
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See the following sections for additional details about the choices outlined above.
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
to the next objective, and the material in the past objective will not be available
unless it is prerequisite for current learning. If students finish an objective before
the due date, instructor has the option to move students to the next objective or
open all objectives so students have the option to work on Ready to Learn topics
in an objective until the next objective begins.
 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 objectives with the same end date are
combined as a single 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 through the Topic Carousel by selecting the downward arrow tab in the
upper left corner of the screen. 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. 7.37).
 Remove chapters by unchecking the box to the left of the objective.
7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION)
Figure 7.37: Objectives Editor
 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.
 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).
 Check the box next to each chapter/objective to enable a post objective progress
assessment (Sec. 7.4.10)
 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 used. 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.
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. 7.38), 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.
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Figure 7.38: Edit Objectives
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.
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.
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.
Topics may be added or removed from objectives as follows:
 Click on the plus sign (+) to the left of each folder to view its contents.
 Check the box to the left of a topic name to include that topic in your objective.
 To see a sample problem for any topic, double-click on the topic name.
 Check the box to the right of a folder icon to include all topics in that folder.
7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION)
A running count of the number of included topics will be displayed just above the
directory window.
 Use the Custom Objective Name field to change the name assigned to the
objective.
 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.
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 to review the
settings. Click on Save to finalize the setup.
7.4.9
Topic Recommendation Tool (TREC)
Figure 7.39: Topic Recommendation Tool (TREC)
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. 7.39).
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Figure 7.40: Tagging Feature
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.
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. 7.4.18). 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.
7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION)
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. 7.40).
7.4.10
Post Objective Progress Assessment
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
be assessed automatically on their mastery of this material or be moved to the next
objective without an assessment.
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.
 The assessment score will not affect the student’s score for the objective completion
 This assessment will reset the assessment clock so that the student will not have
two assessments in quick succession.
 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.
 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.
7.4.11
ALEKS 360
ALEKS 360 is a complete class solution that combines personalized learning in ALEKS
with a fully integrated, interactive eBook. The eBooks featured in ALEKS 360 are
much more than just PDF versions of the textbooks: they are high-quality, interactive
versions of their physical counterparts, with robust virtual features such as highlighting
and note-taking, as well as access to multimedia assets such as images, video tutorials,
and Homework exercises.
To create a new class using ALEKS 360, select Yes, integrate textbook to use a
with eBooks include “ALEKS 360” in the title.) Not all ALEKS classes offer an eBook
option.
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After selecting an eBook, choose one of the following options:
Mandatory
Instructors will have the eBook visible in the interface at all times. Students must
purchase an ALEKS 360 subscription to use this class.
Optional
Instructors will have the eBook visible in the interface at all times. If students
purchase a regular ALEKS subscription (without eBook) they will not see the
eBook. They will be able to upgrade their non-ALEKS 360 account to ALEKS 360
through the Hamburger menu. If students purchase the ALEKS 360 subscription,
Disabled
Instructors and students will not see the eBook. Students use a regular ALEKS
access code or subscription.
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:
 All topics that are checked are currently included in the class.
 Unchecked topics are excluded from the class.
 Topics may be checked to include them in the class, or unchecked to remove them.
 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
cause ALEKS to function incorrectly. 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)
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.
7.4.16
Class Summary
A summary of the class is presented at the end of the customization process (Figs. 7.41
and 7.42). 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:
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Figure 7.41: Class Summary Part 1












Class Information (Sec. 7.4.2)
Syllabus (Sec. 7.4.17)
Class Content (Sec. 7.4.18)
Class Options (Sec. 7.4.19)
QuickTables Settings (Sec. 7.4.25)
Implementation Information (Sec. 7.4.26)
Class Duplicate Settings (Sec. 7.4.27)
Resources (Sec. 7.4.29)
Incoming and Exiting (Sec. 7.4.30)
Share Class Access (Sec. 7.4.31)
Student Groups (Sec. 7.4.32)
Click on Edit for any area to go back and revise your choices, or use the available links.
7.4.17
Syllabus
Two formats are available, an HTML webpage or a PDF document. The ALEKS Class
7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION)
Figure 7.42: Class Summary Part 2
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
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. 7.43). 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).
7.4.19
Class Options
Many options to edit the class settings are provided in the Class Options section of
the Class Summary page, including the following:
 Access Options (Sec. 7.4.20)
 Student Activity Notifications (Sec. 7.4.21)
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Figure 7.43: Course Content
 Learning Options (Sec. 7.4.22)
 Class Forum (Sec. 7.4.37)
 Student Assessment Options (Sec. 7.4.23)
 Worksheet Options (Sec. 7.4.24)
Click on Edit to revise any of these options.
7.4.20
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:
 Student Enrollment Status can be set to Open or Closed, to allow or prevent
students from enrolling this this class.
 Class Access can be set to Regular or Denied, to allow or prevent currently enrolled
students from accessing this class.
 The Archive Status may be set to archived or unarchived (Sec. 7.4.40).
7.4.21
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
7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION)
the student be notified) when a student completes an objective. The instructor can
also choose to be notified when students assess at certain percentages of the syllabus or
when students reach a specific level of learning progress.
7.4.22
Learning Options
From the Class Summary page under Class Options, click on Edit to find Learning
Options. In this section, instructors can choose to allow students to see a Learning
Page first before being given a problem to solve, show learning resources on problem
page, or show the Send Message to Instructor button inside the learning module.
These options are on by default.
7.4.23
Student Assessment Options
From the Class Summary page under Class Options, click on Edit to find Student
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.
Instructors can also delay progress assessment. This feature allows students to finish
other assignments or goals before taking the assessment. The assessment delay feature
will apply to subsequent or future assessments, not if the assessment is either current
or in the past.
7.4.24
Worksheet Options
From the Class Summary page under Class Options, click on Edit to find Worksheet Options (Fig. 7.44). Worksheets consist of 16 questions; by default, these are
drawn from the student’s recent learning history, but optionally four of the 16 may
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:
 Remind the students to print a worksheet at the end of an ALEKS session.
 Allow students see the answers to their worksheets.
 Always generate a new worksheet; by default, this only occurs after the student
has done some work in Learning Mode.
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Figure 7.44: Worksheet Options
7.4.25
QuickTables Settings
From the Class Summary page there are links in this section that enable instructors
Sec. 6.1.3.
7.4.26
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.
7.4.27
Class Duplicate Settings
From the Class Summary page there is a link to the Class Duplicate Settings
(Fig. 7.45). 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.
7.4.28
From the Class Summary page, instructors may access the Gradebook Setup page.
7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION)
Figure 7.45: Class Duplicate Settings
7.4.29
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
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 (Fig. 7.46):
 Three types of resources can be added: files, links, or text-only notes (250 characters or fewer).
 Valid URLs must begin with http://, https:// or www.
 There is no limitation on the number of resources that can be uploaded per topic.
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Figure 7.46: Resources
 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
7.4.30
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 using the same Course Product:
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.
Fresh Start
All students will be given an Initial Assessment.
Exiting Students, regardless of what course product they are going to:
Always keep a record of student data in my class, regardless if they exit
my class (Recommended)
These students will appear as “Former” students in class rosters.
7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION)
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.
Never keep a record of student data in my class
There will be no record kept of the student’s work in the first class, as though he
or she had not been in that 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.
Note also that these settings do not all apply when the student is moving between
courses linked to the same Master Template (Sec. 7.10).
7.4.31
Share Class Access
From the Class Summary page there is a link to the Share Class 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:
 No Access
 Full
 Assign per Student
A shared class will be listed for shared instructors with a “S” next to the name in class
lists.
7.4.32
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.
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7.4.33
Class List
Figure 7.47: Class List
Under Class Administration, select Class List. This feature can also be accessed
from the Instructor Administration. A list of the instructor’s classes will be displayed (Fig. 7.47). ALEKS Administrators will see all ALEKS classes for each instructor
at the college.
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):






7.4.34
New Class (Sec. 7.4.1)
Class Summary (Sec. 7.4.16)
Dashboard (Sec. 7.1.4)
Duplicate (Sec. 7.4.1)
Archive (Sec. 7.4.40)
Delete (only available if no students are enrolled in the class)
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 logged by students 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.
7.4. CLASS CREATION AND CONFIGURATION (CLASS ADMINISTRATION)
7.4.35
Class Roster
Figure 7.48: Class Roster
From the Class Administration, select Class Roster. A list of the students enrolled
in the class will be displayed (Fig. 7.48).
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.
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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7.4.36
Financial Aid Code
A Financial Aid Access code can be requested to allow students enrolled in the class free
temporary access to ALEKS. The code is valid for a period of 2 weeks. If the class is
set for 6-week access codes only, the Financial Aid Access Code is valid for 2 days after
activation. The Financial Aid Access code is designed to assist students experiencing
financial aid delays. This feature is only available for classes set up to use access codes.
To request a Financial Aid Access Code for your class, from the Class Administration,
click on Financial Aid Code. Next, click on the Request a Financial Aid Code
button; you will receive a message in your ALEKS Message Center Inbox containing
your class code, Financial Aid Access Code, and instructions for the students on how
to register with ALEKS. It is recommended that you print out the email or forward it
to the students who need it. The code can be used by any number of students in the
class, but only for that class. This process should be completed for each class where
the Financial Aid Code is needed.
NOTE. When students purchase their access code, the time used in ALEKS with the
Financial Aid Access code will be subtracted from the time available on the purchased
access code; in other words, using the Financial Aid Access code does not add
two weeks to the total length of an account.
7.4.37
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. 7.4.19).
7.4.38
Calendar
The Calendar can be accessed either from the Class Administration or from the
Class Tools icon (Fig. 7.49). 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.
Hovering over either a start date or an end date will highlight the start and end dates
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)
Figure 7.49: Calendar
7.4.39
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.
7.4.40
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. 7.4.33). Classes can be set to archive
automatically after their end date has passed (Sec. 7.4.2).
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Figure 7.50: Class Tools
7.4.41
Class Tools
After selecting a class, the Class Tools link will be available in the upper right area
of the page (Fig. 7.50). Clicking on this link will display icons for quick access to the
following for the current class:
 Forum (Sec. 7.4.37)
 Calendar (Sec. 7.4.38)
 Resources (Sec. 7.4.29)
 Student View (Sec. 7.4.39)
7.5
Assignments
Figure 7.51: Assignments
The following kinds of assignments can be created in ALEKS: Pie Progress Goal, Time
Goal, Topic Goal, Homework, Tests, Quizzes, and Scheduled Assessments (Fig. 7.51).
All are optional: ALEKS can be used without any of these, but they may enhance the
effectiveness of ALEKS in certain instructional contexts. Pie Progress Goal, Time Goal,
and Topic Goal are similar in setup and will be addressed breifly below. 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 Assessments
7.5. ASSIGNMENTS
99
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. 7.4.28).
7.5.1
Class Assignments
Figure 7.52: Assignment Status
Assignments that have been created for a class can be viewed by clicking on the Assignments option. The Assignments link will display a table showing all assignments
in the class (Fig. 7.52). By default the list is sorted by end date, then the name of the
assignment. The list can also be sorted based on other columns as well. The table
includes the following information: Assignment Name, Type of assignment, Start Date,
End Date, Goal Details, 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.
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Clicking on the box next to one 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.
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.
Print
Instructors can print up to five different 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 Assignments
tab then the New Homework link. (Fig. 7.51). Alternatively, instructors can create a
new Homework assignment by using the Duplicate option from the Assignment List.
The following steps are needed to complete the assignment creation process (Figs. 7.53
and 7.54):
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).
7.5. ASSIGNMENTS
101
Figure 7.53: New Homework
STEP 2: Content
In this step content is added to the assignment (Sec. 7.5.4).
Instructors can specify when students can see their grades, or if multiple attempts
are permitted for the assignment (Sec. 7.5.5).
In this step instructors can control student access to the assignment (Sec. 7.5.6).
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.
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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
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 to students.
Location
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.
If the class is integrated with an ALEKS 360 textbook, you will have the option of
allowing students access to the eBook while working on the Homework assignment.
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
7.5. ASSIGNMENTS
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.
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.
7.5.5
STEP 3. You can choose whether the students will see their scores and grades immediately (default), or only after the end date (Fig. 7.54). Next is a box that can be
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).
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Figure 7.54: New Homework (cont.)
Quick Retake
Students retake only the problems that were answered incorrectly.
7.5.6
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 2 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 (Sec. 7.5.8).
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.
7.5. ASSIGNMENTS
105
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
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.
7.5.7
Figure 7.55: 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. 7.55). The sliders on the scale can be moved and
renamed, and you can 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.
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To complete the process, click Save at the bottom of the New Homework page. After
you click 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.
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. 7.56). 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:
 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.
 Scheduled Assessments will not allow access to worked examples, integrated eBooks,
or multiple attempts.
 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
7.5. ASSIGNMENTS
107
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 the grading scale should be set carefully,
to reflect your expectation of what the students will have learned at the 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.
 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.
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 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.
The student will see a message that says the assessment was canceled. The student
will be prompted to take the Scheduled Assessment immediately.
 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
Pie Mastery, Time, and Topic Categories
Figure 7.57: Pie Mastery Grade Settings
The following categories require specific components to be added via the Gradebook
Setup Page, to be included in the Gradebook.
Pie Mastery
The Pie Mastery category is used to grade students based on their mastery of a
percentage of the ALEKS Pie by a specified due date and time (Fig. 7.57).
Time
The Time category is used to grade students based on the amount of minutes/hours
spent in ALEKS for a specified date range (Fig. 7.58).
Topic
The Topic category is used to grade students based on the number of topics mastered in the ALEKS Pie for a specified date range (Fig. 7.59).
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7.6
The Gradebook records student grades for assignments in the categories selected in the
The following types of assignment categories can be used by the Gradebook:
 Pie Progress
 Time
 Topics
 Objectives (Chapter Completion)
 Scheduled Assessments
 Quizzes
 Tests
 Homework
 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 External Assignment category assignments require specific components (goals or
assignments) to be added via the Gradebook Setup page, in order to be included in the
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.
7.6.1
then select Class Gradebook (Fig. 7.60). Several options are available for this display.
the gradebook data to be filtered by assignment type. Each assignment is color-coded
by category. If student groups have been set up, 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.
As with other reporting displays in ALEKS, the contents of the Gradebook can be
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
The Total Grade column will be displayed when All is chosen from the Show
assignments completed or for which the due date has passed. This grade predicts
the student’s grade for the class based on any work completed to date. For example,
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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.
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:
Empty cells
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  link in any column, for a specific assignment, will open a box
containing options to view and edit student results.
7.6.2
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. 7.61). To include that category in the Gradebook, you must set this
percentage 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 you are 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 component of the total grade (Fig. 7.62).
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Figure 7.62: Assignment Weights
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Dropping Low Scores
On the assignment weighting page 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 (Fig. 7.62). Only regular (non-extra credit and non-zero weight)
assignments can be dropped. Suppose that 10 ALEKS Quizzes have been set up
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
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, there is a check box that can be used to
designate the assignment as extra credit (Fig. 7.62). 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 automatically
flagged as Extra Credit. This ensures that the assignment to only some students
will not hurt 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.)
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
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.
7.6.3
115
This feature allows the instructor to assign a grading scale for the total class grade
(Fig. 7.63). 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 can be moved and renamed, and you
can 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 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’ overall scores.
7.6.4
Chapter or Objective Completion and the Gradebook
Scores for the Objective category will be calculated 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, they will be treated as a
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single objective, and there will only be one column for these objectives
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. The Total Grade column will not include the chapter
or objective assignment score until after the end date for the class 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.
7.6.5
External Assignments
Figure 7.64: External Assignment Setup
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. 7.64):
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.
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:
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.
7.6.6
Instructors can adjust student scores for ALEKS assignments and external assignments
directly through the Gradebook, as follows:
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.
7.6.7
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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 Share Class Access (Sec. 7.4.31).
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 allows the instructor to manage individual student accounts
and progress. Selecting a student account will display the student-related menus and
7.8.1
Account Summary
Figure 7.65: Student Account Summary
Student Account Summary allows instructors to make corrections or changes to a
student’s name, email address, ID, and account status (Fig. 7.65). For each student,
can view Student Groups and Share Class Access information (Sec. 7.4.31). To edit a
student’s account preferences, click Edit next to the corresponding category.
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Figure 7.66: Move and Unenroll Student
7.8.2
Move and Unenroll Student
Selecting a student account and clicking on Student Administration displays Move/Unenroll
(Fig. 7.66). 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. 7.4.35.
NOTE. See Sec. 7.4.30 for more information on what happens to students’ records
when they are moved to a new class.
7.8.3
Student Cleanup Tool
Selecting a student account and clicking on Student Administration displays Cleanup
Tool. This feature allows you to clear statistics for an individual student. For the class
level Cleanup Tool, see Sec. 7.4.34.
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7.8.4
Selecting a student account and clicking on Gradebook displays the following information:
7.8.5
Student Reports
Selecting a student account and clicking on Reports displays the following information:









ALEKS Pie (Sec. 7.3.8)
Progress (Sec. 7.3.16)
Time & Topic (Sec. 7.3.19)
Knowledge Per Slice (Sec. 7.3.20)
Assignments (Sec. 7.3.21)
Objective (Sec. 7.3.9)
Time Line
Standards (Sec. 7.3.24)
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
(Fig. 7.67):





Edit Extensions (Sec. 7.8.7)
Worksheet (Sec. 7.8.8)
Class Assignments (Sec. 7.5.1)
Request Assessment (Sec. 7.8.9)
Cancel Assessment (Sec. 7.8.10)
Please see each section referenced for more details.
7.8.7
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.
Figure 7.67: Edit Extensions
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. 7.4.24.
7.8.9
Request Assessment
Figure 7.68: Request Assessment
Selecting a student account and clicking on Assignments displays Request Assessment (Fig. 7.68). This feature allows you to request a ”Progress”-style assessment or a
”Comprehensive”-style assessment for a single student, effective immediately. Via the
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drop-down Action menu, you can choose between Request new assessment (taken
in Institution only) or Request new assessment (taken anywhere). If your
college 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
Figure 7.69: Cancel Current Assessment
Selecting a student account and clicking on Assignments displays Cancel Current
Assessment (Fig. 7.69). 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.
7.8.11
Student QuickTables
Selecting a student account and clicking on QuickTables displays the following options:
 Worksheets (Sec. 7.8.12)
 Progress Report(Sec. 6.3.1)
 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:
 Select a table from the list (if tables have been created) to create a QuickTables
Worksheet for that student.
 View a previously created Worksheet for that student.
7.9
Figure 7.70: Three levels of hierarchy
ALEKS administrators have access to three account levels: instructor, class, and student (Fig. 7.70). This section will focus on the Instructor level. The class and student
levels are described earlier in detail (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 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 also be modified in this section.
Important Contacts
Technical Contact, Implementation Specialist, and Course Product/Feature Upgrade Contact under this section.
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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.
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
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
labels: (A) for Administrator or (TA) for Teaching Assistant. There is a link to
the Admin/Instructor Roster under this section.
7.9.2
ALEKS Corporation periodically releases new versions of its class products. When this
occurs, there is an announcement to users explaining the nature of the upgrade, window
of time during which users may upgrade, and the default date on which the upgrade
will occur if no action is taken. If the college 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
7.9.3
Learning Management System (LMS) Integration
You can set up Single Sign On (SSO) by integrating ALEKS with your school Learning
Management System (LMS). This will allow instructors and students to link from your
LMS to ALEKS without having to remember separate login names and passwords. It
will also remove the need to share Class Codes by letting the LMS feed class information
directly to ALEKS. LMS integration is available for all regular ALEKS Higher Ed
classes.
ALEKS is a Learning Tools Interoperability (LTI) 1.1 compliant Tool Provider. Your
school can integrate ALEKS with any LTI compliant LMS. It is a two-part process,
which involves (1) logging into ALEKS to obtain the LTI parameters (2) logging into
the school’s LMS to input the parameters.
Figure 7.71: Learning Management System (LMS) Integration
Part 1: Obtain Parameters
After logging into ALEKS, under the Institution Administration, select Integration. You will arrive at the Learning Management System (LMS) page
(Fig. 7.71). To obtain the parameters for the college, use the drop-down menu to
select the LMS that the college is using or the mode of integration. If your LMS
is not listed, you can integrate ALEKS with any LTI compliant LMS by selecting “Basic LTI/LTI 1.1” from the list as your mode of integration. If you wish
to integrate your LMS with ALEKS using McGraw-Hill (MH) Campus, a service
that allows instructors using a LMS to have access to McGraw-Hill educational
materials within their LMS, select MH Campus from the list.
After making a selection in the drop-down menu, the parameters for the selected
LMS or mode of integration will appear on the screen. Enabling LMS Gradebook
Integration will allow instructors to synchronize the overall score for each student
carefully and then click on the Save button. This will complete the first part of
the integration.
Part 2: Configure a School’s LMS with ALEKS
ALEKS using the parameters obtained from the ALEKS “LMS Integration” page.
Some of the LMS selections will show one or more “?” icons on the page. Clicking
on a “?” will open a pop-up with additional instructions.
Once the setup between the LMS and ALEKS is complete, instructors and students
can pair their LMS accounts and classes with their ALEKS classes. For detailed
instructions on institution, instructor, class, and student pairing, visit the ALEKS
Training Center.
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7.9.4
Instructor Roster
Figure 7.72: 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 (Fig. 7.72). 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 students, and manage student accounts. Some features consume purchased
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 the instructors’ ability to access their accounts.
7.9.5
Create New Instructor Account
Frequently, instructor accounts are created by ALEKS Corporation for the college. Administrators, however, are able to create them independently by selecting Institution
Administration and clicking New Instructor. Note that new instructors may be set
7.9.6
Subscription Management System
This page does not show the use of access codes at the college. Many institutions use
only access codes; in such cases, no information will appear on this page.
For some purposes, it may be preferable to use “subscriptions” (or virtual account
inventory) rather than access codes for creating student accounts in ALEKS. If the
college has used subscriptions for any of its students’ access to ALEKS, a summary of
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 a detailed history of 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.
Activity Log
The Activity Log tab displays the history of subscription movements and holds
performed via the Subscription Management tab. Each entry contains detailed
7.9.7
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.
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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
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 in ALEKS.
Class Activity
Shows the number of students who worked in ALEKS or QuickTables each month
and the average hours worked each week.
Common Core Report
Details student performance against applicable standards, for all students at the
college 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.
Server Stats: Page Hits
Presents a graph of page hits over time by users of ALEKS at the college. The
“Data Range” menu can be used to set the time period that is graphed. Beneath
the graph a range of summary statistics may appear, 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.
7.9.8
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 (Fig. 7.73). 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:
7.10. MASTER TEMPLATES
Figure 7.73: Student Roster (Institution Level)
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 7.4.35.
7.10
Master Templates
The Master Templates are one of the most powerful features in ALEKS. They provide
an efficient way to create and control class instances based on a master class (Fig. 7.74).
Instructors who have administrator privileges can create a 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.
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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:
 New Master Template (Sec. 7.10.2)
 Master Template (Class Summary) (Sec. 7.10.4)
 Duplicate (Sec. 7.10.10)
 Archive (Sec. 7.10.11)
 Delete (Sec. 7.10.12)
 Reports (Sec. 7.10.13)
7.10.2
Getting Started
Figure 7.75: New Master Template
Selecting New Master Template displays the following options (Fig. 7.75):
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).
7.10. MASTER TEMPLATES
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).
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
 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.
 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.
QuickTables
QuickTables may be added to the template during this step or at a later time. For
complete details about QuickTables, see Chapter 6.
Class Specific Settings
These are specific settings that apply to this class template, such as providing
ALEKS graphing calculator functionality.
Accessibility mode for visually impaired students can be set in the Show Accessibility Options area. The link will appear for any class where accommodations
for visually impaired students is availible.
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
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:
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 Continue to Master Template Summary (Sec. 7.10.4) to view setup details;
or select
 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:












7.10.5
Master Template Information (Sec. 7.10.3)
Syllabus (Sec. 7.4.17)
Class Content (Sec. 7.4.18)
Class Options (Sec. 7.4.19)
QuickTables Settings (Sec. 7.4.25 and Chap. 6)
Implementation Information (Sec. 7.4.26)
Resources (Sec. 7.4.29)
Lockout Options (Sec. 7.10.5)
Assignments (Sec. 7.10.6)
Linked Classes (Secs. 7.10.7 and 7.10.8)
Incoming and Exiting (Sec. 7.4.30)
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
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.
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
Incoming and Exiting Student Options
If this option is selected, instructors of linked classes cannot edit Incoming and
Exiting Student Options.
7.10. MASTER TEMPLATES
7.10.6
Create Assignments in Master Template
Figure 7.76: 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. 7.76):
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.
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
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.
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7.10.7
After you have defined the Master Template settings, content, and created assignments,
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
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
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 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).
7.10. MASTER TEMPLATES
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
NOTE. There is no limit on the number of linked classes you can associate with a
Master Template. The interface allows you to link up to 15 at a time: to add more than
Classes section, and select Edit. On the Linked Class List page, select New Linked
Class.
7.10.8
Classes to be Assigned
Figure 7.78: Classes to be Assigned
The Classes to be Assigned page contains linked classes that were set to “Instructor
to be announced (TBA)” (Fig. 7.78).
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.
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3. Click Move.
4. Select the instructor who is going to teach the class.
5. Click Apply.
6. Click Confirm.
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 7.79: 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. 7.79).
On the page that follows, fill in the new Master Template information, including Name
and Start Date/End Date. 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
Figure 7.80: Duplicate a Master Template
7.10. MASTER TEMPLATES
After selecting Duplicate a Master Template, use the drop-down menu to select a
Master Template, and click Continue (Fig. 7.80).
On the page that follows, fill in the new Master Template information, including Name
and Start Date/End Date. 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 (nor would you generally want to). Administrators will need to link sections 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 templates 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. 7.4.33).
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.
3. Select Delete.
4. Click Confirm to proceed with the deletion.
This will remove the selected template from the list.
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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. 7.3.26.)
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:
 Edits to the Master Template will apply automatically to all linked classes under
the Master Template.
 A change made to the Master Template will override changes made in individual
linked classes. If something was changed in the course settings on the Master
Template, then that specific change is made to all linked classes. 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
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.
 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.
7.11. DISTRICT FEATURES
7.11
139
District Features
Figure 7.81: Tab Indications
access to four levels of account: institution, instructor, class, and student (Fig. 7.81).
7.11.1
Account Summary
Figure 7.82: Account Summary
Selecting Institution Administration and then Account Summary displays a
page containing account settings and important contact information for the district
(Fig. 7.82).
7.11.2
Learning Management System (LMS) Integration (District Level)
LMS Integration is also available at the multi-campus level. Integration at this level
should only be done when the same LMS instance is shared across ALL campuses. If
each institution has its own instance of the LMS, the integration should be done at
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7.11.3
roster displays administrator information (Fig. 7.83). 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.
7.11.4
New district administrator accounts can be created through this feature (Fig. 7.84).
7.11.5
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.
7.11.6
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
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this page for updating and managing accounts efficiently. For full details on the student
roster, see Sec. 7.9.8.
7.11.7
Subscription Management System (District Level)
District administrators can also view and manage subscriptions for the district and
System, see Sec. 7.9.6.
7.11.8
District administrators can also generate administrative reports for the district and for
Sec. 7.9.7.
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CHAPTER 7. INSTRUCTOR MODULE
Chapter 8
Teaching with ALEKS
8.1
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. (The term “knowledge check” is synonymous with assessment.) 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
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are possible. The following should be understood as suggestions, designed to give instructors 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 (knowledge check), 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 (Knowledge Check). 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,
8.3. PLANNING THE ALEKS CLASS
the student may have received help, or inappropriately used a calculator on an unsupervised assessment, skewing the assessment results and leading to inappropriate material
in the Learning Mode. This can be corrected by requesting a new assessment for the
student.
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
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a precise record of a student’s actual work in ALEKS by viewing the student’s “Time
and Topic” report.
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
The following considerations may be useful in preparing your students to begin to use
ALEKS.
Difficulty of Assessment Questions
The ALEKS Initial Assessment (Knowledge Check) 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 don’t know 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 Basic Math 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
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.
8.5. FOCUSED INSTRUCTION WITH 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: 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 Manual 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 Knowledge Check,” or “Initial Knowledge
Check.” 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
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 Basic Math, and clicks
on “ALEKS Pie” under “Reports” 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 Basic Math, and clicks on “ALEKS Pie” under “Reports” to access the
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ALEKS Pie Report. Next the instructor clicks on 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.
On a Monday morning, the instructor logs on to his or her ALEKS account, selects
the name of a class in Beginning Algebra, and clicks on “ALEKS Pie” under
“Reports” 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
8.6. MODELS OF CLASSROOM INTEGRATION
Expert supervision can be provided for the students’ use of ALEKS in regularly
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 college 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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CHAPTER 8. TEACHING WITH ALEKS
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
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
8.10. MOVING A STUDENT TO A NEW CLASS
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
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.
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 or Knowledge Check (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 (midterm 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 syllabus 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
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internal message system of ALEKS puts the instructor in constant touch with students,
without dependence on telephone or email communication.
8.13
The ALEKS Knowledge Structure
Each ALEKS subject, such as Beginning Algebra, has a knowledge structure associated with it. The number of items comprised in a knowledge structure ranges roughly
between 200 and 1000 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 syllabi within a single class
(See the Instructor’s Manual 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
8.14. OBJECTIVES
students. When Objectives have been set, students will be guided to these items by the
shortest possible path.
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Chapter 9
Knowledge Spaces and the Theory
Behind ALEKS
9.1
History
Knowledge Space Theory has been under development since 1983 by Professor JeanClaude 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 Basic Math 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 Basic Math 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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Figure 9.1: Domain of Basic Math
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
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Figure 9.2: Knowledge State
Figure 9.3: Learning Path
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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
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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 ALEKS, assessments may be
called “knowledge checks.”) 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
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response (correct or false) determines a change in all 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 Basic Math, 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”:
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., Thiéry, 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 Thiéry, 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 Thiéry, 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
161
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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
framework. In B. Ganter, R. Wille, and K.E. Wolfe, editors, Beiträge zur Begriffsanalyse: Vorträge der Arbeitstagung Begriffsanalyse, Darmstadt 1986, 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., 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 Universität 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.
Düntsch, I. and Gediga, G. (1995). Skills and knowledge structures. British Journal of
Mathematical and Statistical Psychology, 48, 9-27.
Düntsch, I. and Gediga, G. (1996). On query procedures to build knowledge structures.
Journal of Mathematical Psychology, 40, 160-168.
Düntsch, I. and Gediga, G. (1998). Knowledge structures and their applications in
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, 169174.
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.
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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. and Doignon, J.-P. (2011). Learning Spaces: Interdisciplinary Applied
Mathematics. Berlin, Heidelberg: Springer-Verlag.
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
report, Institut für Psychologie, Karl-Franzens-Universität, Graz, Austria.
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. Alvegȧrd,
editor, CALISCE’98: Proceedings of the Fourth International Conference on Computer
Aided Learning in Science and Engineering, pp. 417-423. Göteborg, Sweden: Chalmers
tekniska högskola.
Kambouri, M. (1991). Knowledge assessment: A comparison between human experts
and computerized procedure. Doctoral Dissertation, New York University.
9.3. SELECTED BIBLIOGRAPHY
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.
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: SpringerVerlag.
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.
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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.
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.
Thiéry, 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
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
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168
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
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 (assessments are
also called “knowledge checks”), 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
Account, which permits management and monitoring of an arbitrary number of
separate institutions, such as those making up a multi-campus college system.
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. No disks, CD’s,
peripherals, or backup facilities are required.
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.
Tablets. All courses are desktop and tablet compatible with the exception of Intro.
to Statistics, Business Statistics, Statistics for the Behavioral Sciences, Prep. for
Statistics, Math Prep. for Accounting, Essential Math Skills for Business, and
Business Math. These courses are not compatible with tablet devices.
Note that any of the kinds of Internet connection (cable, ISDN, DSL, or wireless)
typical in computer labs are adequate for use with ALEKS.
10.3. THEORY
Operating System
Processor
RAM Memory
Browser
Screen Resolution
169
PC
Windows 7+
Any
64+ MB
Explorer 11+, Firefox
25+, Chrome 30+
1024x768
Macintosh
MacOS 10.7+
Any
64+ MB
Safari 6+, Firefox
25+, Chrome 30+
1024x768
Chromebook
Chrome OS
Any
Any
Chrome 30+
Any
Figure 10.1: System Requirements
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.
https://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 Basic Math. A learner is considered to
170
have mastered the domain when that learner can solve problems corresponding to
all the items in the domain.
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 without others
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 without any others 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
10.4. ASSESSMENTS AND REPORTS
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.
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 (knowledge check)?
[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 don’t know” 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 a knowledge check, 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 don’t know.” At
each step of the assessment, the system attempts to choose an item for which it
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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
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.
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.
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 (Knowledge Check). 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
10.6. EDUCATIONAL USE
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. A large
part of ALEKS content is compatible with screen-reading technology.
Does ALEKS need to be used with a particular textbook or curriculum?
ALEKS is designed to be used with any syllabus, 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 syllabi and standards used
by ALEKS, to configure accounts, to find statistics on multi-campus college system
use, and to exchange messages. An instructor or administrator who has been
registered with ALEKS enters the Instructor Module immediately upon login.
How can I contact ALEKS Corporation Customer Support?
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[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.
Chapter 11
Support
Current information on ALEKS is available at the ALEKS website:
https://www.aleks.com
Technical support and consultation on the effective use of ALEKS is provided to educators by ALEKS Corporation. Please contact the support group via the web:
https://support.aleks.com
by telephone:
(714) 619-7090
or by fax:
(714) 245-7190
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
ALEKS Corporation Customer Support
Irvine, CA 92618
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CHAPTER 11. SUPPORT
Appendix A
ALEKS Student User’s Guide
A.1
System Requirements
ALEKS runs on many devices with various operating system and web browser configurations.
 PCs must have at least 64 MB of RAM and Windows 7 or higher. Compatible
browsers are Internet Explorer 11.0 or higher, Firefox 25 or higher, and Chrome
30 or higher.
 PowerMacs or iMacs must have at least 64 MB of RAM and operating system
Mac OS 10.7 or higher. Compatible browsers are Safari 6 or higher, Firefox 25 or
higher, and Chrome 30 or higher.
 All courses are desktop and tablet compatible with the exception of Introduction
to Statistics, Math Prep for Accounting, Business Statistics, Essential Math Skills
for Business, Statistics for the Behavioral Sciences, Business Math, and Prep for
Statistics. These courses are not compatible with tablet devices.
NOTE. The most up-to-date requirements can always be found on the ALEKS website.
A.2
Registration
In order to register as an ALEKS user, you need a Student Access Code (20 characters), which may be purchased through your campus bookstore, online as part of
the ALEKS registration process, or in some other way. If this booklet was purchased
through the bookstore, the Student Access Code may be inside its back cover. You also
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.
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APPENDIX A. ALEKS STUDENT USER’S GUIDE
1. Go to the ALEKS website:
https://www.aleks.com
When entering this URL, pay careful attention to the spelling of aleks.
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
on.
may be packaged with the textbook, or can be purchased directly from ALEKS Corporation by using the link on this page (PURCHASE AN ACCESS CODE).
Enter the Student Access Code in the spaces provided and click on Continue
(Fig. A.3).
also be able to enter your Student ID number.
A.2. REGISTRATION
179
Figure A.2: Class Code
Figure A.3: Access Code
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APPENDIX A. ALEKS STUDENT USER’S GUIDE
7. At the end of registration you will be given a Login Name. You will need the
Neither may contain spaces or punctuation. If you forget your Password, click on
A.3
Tools Tutorial
The ALEKS Tools Tutorial teaches you how to enter your answers in ALEKS. ALEKS
avoids multiple-choice questions. Most answers are complete mathematical expressions
and constructions. The Tools Tutorial is not intended to teach mathematics. The Tools
Tutorial teaches you how to use the ALEKS input tools called the Answer Editor
(Fig. A.4). Online help is also available while you are using ALEKS; just click the ?
button next to the input tools when you are working in ALEKS. This will give you
A.4
Knowledge Checks
Instruction through ALEKS is guided by a precise understanding of your knowledge of
the ALEKS class material. This information is obtained by Knowledge Checks in which
A.4. KNOWLEDGE CHECKS
181
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 Knowledge
Check occurs immediately after the ALEKS Tools Tutorial.
A.4.1
Knowledge Checks in ALEKS
Figure A.5: Knowledge Check
The Initial Knowledge Check determines which class topics you already have mastery of,
which topics are not currently mastered, and which topics you are ready to learn. When
the Initial Knowledge Check is completed ALEKS will display your unique knowledge
state and individualized learning path.
Additional Knowledge Checks may be scheduled for you by your instructor. These may
or may not need to be supervised, depending on the instructor’s preference. ALEKS
also prompts for automatic Knowledge Checks when you have spent a certain amount
of time in ALEKS or have made a certain amount of progress (Fig. A.5).
NOTE. Your instructor may require that the Initial Knowledge Check be taken under
supervision. Don’t try to begin your Initial Knowledge Check at home until
you find out where your instructor wants you to take it.
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APPENDIX A. ALEKS STUDENT USER’S GUIDE
A.4.2
Knowledge Check Results
Upon completion of your Initial Knowledge Check you will see your ALEKS Pie along
with quick tips that describe how it works and how to use it. The ALEKS Pie will
display the number of topics mastered per pie slice and the overall mastery percent in
the class based on the Initial Knowledge Check. Clicking on an individual pie slice will
give specific information about the topics in that slice.
A.4.3
The purpose of Knowledge Checks in ALEKS is to throughout your learning path to
confirm that you have retained material previously learned and to provide review and
reinforcement when it is needed. New Knowledge Checks occur at regular intervals
(typically 20 new topics learned or 10 hours in the system), or after the completion or
due date of an Objective. Note that any new Knowledge Check “resets the clock,” so
that they don’t occur one after another.
You can see when your next Knowledge Check is coming up by clicking on the Knowledge
time for the Knowledge Check, you will see a notification, and you will have 24 hours
to begin it (the exact period may be different if your instructor sets it differently for
your class). Before beginning the Knowledge Check, you may wish to review by clicking
on Review for Knowledge Check; this option appears under the Knowledge Check
It is important to make your best effort on the Knowledge Check! Do not rush or work
when tired; remember you can always break off and resume the Knowledge Check later.
As always, only use the I don’t know button when you have no idea of the answer;
it’s always better to try to respond if you possibly can, since “I don’t know” is counted
as “incorrect.” Note that you are likely to get at least a couple of questions that you
haven’t learned yet, due to the adaptive nature of the Knowledge Check mechanism.
Needs More Practice. It is also normal to lose some topics from your mastery
count on a Knowledge Check. This simply means that those topics need additional
reinforcement; in most cases you will add them back quickly. ALEKS will present these
topics in the beginning of the Topic Carousel under Needs More Practice.
A.5
Home
The first time you enter your ALEKS Home page you will be guided through an introduction giving a brief description of how ALEKS works. There are also pop-ups and
animations that appear when you are seeing something in ALEKS for the first time, to
ensure that you understand the interface and know how to use it.
The Home page includes some important information such as the name of the ALEKS
A.5. HOME
183
(Sec. A.5.5), Primary Guidance Menu (Sec. A.5.3), and next Knowledge Check indicator.
The Home page shows the Timeline by default (Sec. A.5.1), but you can switch to the
ALEKS Pie view (Sec. A.5.2) to see your progress within each slice. The view last
At any point in ALEKS, you can click on the Home symbol or ALEKS icon in the upper
A.5.1
ALEKS Timeline
Figure A.6: ALEKS Timeline
The ALEKS Timeline is a visual tool that graphs your progress and growth over time.
It helps you understand how to achieve learning goals and reach milestones. You can
use the timeline to view what you worked on in the past, what’s ahead, and when topics
are due next so you can plan your class accordingly. As you learn or lose topics, the
timeline is updated with real-time information.
Some key points about the timeline:
 The timeline is intended to show information at a macro level. You can select points
on the graph to access information. For example, the blue goal topic marker is a
projection to show what you are working towards next.
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APPENDIX A. ALEKS STUDENT USER’S GUIDE
 The orange marker displays your progress today, and the number of topics you
have left to reach the next goal on the timeline. It also shows what was completed
on that day.
 The area below the timeline contains assignments created by the instructor, showing when the assignments start and end. You can select the assignment name to
view detailed information. When there are multiple assignments available, they
are stacked and prioritized by due dates.
You can select the Timeline Detail button to see a more detailed full-screen view
and a longer time range than what is displayed on the Home page. You can filter the
timeline by day, week, or month.
Figure A.7: Timeline Icons
For a key to the icons that may appear on the timeline, see Fig. A.7.
A.5.2
ALEKS Pie and Details
The ALEKS Pie view is an alternate Home page. You can switch back and forth between
the Pie view and the Timeline; whichever you looked at last will appear as your Home
The ALEKS Pie allows you to see your overall progress toward completion of the class.
Slices represent topic categories. Mastered, learned, and remaining topics are shown in
different colors within each slice. Each pie slice is color-coded to match the list next to
the ALEKS Pie. The darker color in the slice represents topics mastered, the lighter
color represents topics learned, and the outer space without color represents the topics
remaining to be learned and mastered (Fig. A.8).
A.5. HOME
185
Figure A.8: ALEKS Pie
You can view your progress in real time by selecting a pie slice. The area to the right is
a legend that displays the slice name and the number of topics mastered, learned, and
remaining in each category for the slice selected.
Mastered
The number of topics you have demonstrated mastery of in a Knowledge Check.
Learned
The number of topics that you have practiced successfully in Learning Mode but
have not yet confirmed through a Knowledge Check.
Remaining
The number of topics you have left to learn.
The number in the middle of the ALEKS Pie is a counter that represents the total
number of topics you have mastered or learned.
You can also click on the ALEKS Pie Detail button to see your class progress broken
down by the topics that you are ready to learn, have learned, and have mastered in each
slice. Category headings can be expanded to view progress and sample problems. The
drop-down menu at the top of the report displays progress in Knowledge Checks. You
can use this drop-down to track how they have performed across all Knowledge Checks
in their class.
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APPENDIX A. ALEKS STUDENT USER’S GUIDE
A.5.3
The blue bar area on the left-hand side of the Home page is called the Primary Guidance
Menu. This menu will show you the next topic in your path. You will also see your
class progress and any upcoming assignments.
The Primary Guidance Menu displays the following features:
UP NEXT
This section contains buttons such as START MY PATH/CONTINUE MY
PATH to direct you to Learning Mode to practice problems that are Ready to
Learn. The GET STARTED/CONTINUE button begins or continues an assignment.
WORKING TOWARD
This section displays goals and what the student is working toward, including due
dates.
WORK ON SOMETHING ELSE
This section contains class assignments as they become available to work on.
A.5.4
will see some or all of the following menu options displayed:
 Assignments (Sec. A.9)
 Worksheet
 Calendar
 Reports (Sec. A.8)
 Message Center (Sec. A.7)
 Class Forum
 E-Book
 Dictionary
 Instructor Resources
 QuickTables (Sec. A.12)
 Manage My Classes (Secs. A.11.1 and A.11.2)
clicking the X. (Fig. A.9).
A.6. LEARNING MODE
187
A.5.5
Settings
You can access your account settings and log out of ALEKS by selecting the down arrow
in the upper-right corner by your name. On the Settings page, you have the option to
during Registration, you can put it in now. The option to change your ALEKS account
A.6
Learning Mode
In Learning Mode you can practice Ready to Learn topics and review previously learned
and mastered topics. To access Learning Mode, go to the Primary Guidance Menu and
select START MY PATH.
A.6.1
Learning Page/Problem Page/Explanation Page
The following pages are available in Learning Mode:
Learning Page
The ALEKS Learning Page provides a sample problem for the current topic, with
detailed explanation and answer (Fig. A.10). After reviewing the Learning Page,
select the Start button to move to the first problem.
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APPENDIX A. ALEKS STUDENT USER’S GUIDE
Figure A.10: Learning Page
Problem Page
The ALEKS Problem Page displays a problem for the current topic. Enter your
answer in the space provided and then select the Check button at the bottom of
the screen. If your answer is correct, ALEKS will display the message Correct on
the screen. If your answer is incorrect, you will be given the opportunity to correct
the answer and then select the re-check button.
Explain Page
If you are not sure how to answer a problem, you can click on the Explanation
button at the bottom of the screen. This will take you to the Explanation page
showing detailed information about how to solve the problem. For some topics
solving the problem.
Resources
Resources on the right hand side of the Problem Pages and Explain Pages are provided to help you solve the problem. These may include tools such as a calculator,
an eBook link, the ALEKS dictionary, and the Message Center.
A.6.2
Progress Indicator
Mastery of problems is based on a point system: one point added for a correct answer,
two points added for two correct in a row without using the Explanation page, and one
point subtracted for an incorrect answer. The number of points cannot go below zero.
A.6. LEARNING MODE
189
ALEKS considers a topic learned when a student earns a total of five points for that
topic. The bars in the progress indicator represent how many points you have earned
for the current topic (top right of the Learning Page). The progress bars change color to
show how the topic is going: green to show success, yellow, orange, and red to indicate
difficulty.
A.6.3
Topic Carousel
Figure A.11: Topic Carousel
Figure A.12: Topic Icons
In Learning Mode you can access the Topic Carousel by selecting the downward arrow
tab in the upper left corner of your screen (Fig. A.11). The Carousel lists topics that
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APPENDIX A. ALEKS STUDENT USER’S GUIDE
you are currently ready to learn, sorted by degree of difficulty or complexity, with the
most accessible first. Each topic has its own card containing the slice name, the topic
name, and attributes (if any) indicated by icons (Fig. A.12). The Topic Carousel shows
three cards at a time and is scrolled using the scroll bar or the back/forward arrows.
Filters
You can filter topics by selecting Filters in the upper right corner of the screen
(Fig. A.11). The Filters feature lets you search for topics by name and type.
Switching Topics
You can switch topics at any time by selecting a new topic card in the Topic
Carousel. When you select a card, a sample problem is previewed in the bottom
half of the window. Switching topics mid-way through a topic will not cause you
to lose work; when you return to the topic, ALEKS will resume where you left off.
The drop-down menu above the Topic Carousel allows you to see progress in Objectives (if used in the class) or Ready to Learn pie slices. To see this drop-down
A.6. LEARNING MODE
(Fig. A.13).
Review
You can review previously-learned topics by choosing Review (rather than Ready
to Learn) in the filter. Note that you will also be prompted to review when you
A.6.4
Classes with Objectives
Objectives are sections of the material in your class, similar to chapters in a textbook
or units or modules in a lecture course. If your ALEKS class uses Objectives, they will
be in a definite order and you will need to work through them in that order. They
may have individual due dates, or there may be one due date for all the Objectives; the
following paragraphs explain how the Objectives work on both cases. Note that when
the next Objective begins, you will be notified by tool tips appearing on the Home page
and in the Topic Carousel.
Objectives with Due Dates
In Learning Mode, the Topic Carousel will display Ready to Learn topics in the
current Objective. If you complete the current Objective before the scheduled
due date, you will move into Open Pie Mode, which unlocks all Ready to Learn
topics until the start of the next Objective. During this time, you can return to
previous Objectives and work on topics you did not learn or may have lost during
a Knowledge Check. For example, if you missed an Objective, did not complete
all topics in an Objective by the due date, or lost topics from previous Objectives
in a Knowledge Check, you can go back to the previous Objectives and learn or
re-learn those topics. After you learn all topics in a given Objective, the Topic
Carousel will be empty. You can select another Objective to work on from the
Objectives drop-down menu, or use the review filter to practice previously learned
and mastered topics in the selected Objective.
Objectives with One Final Due Date
In Learning Mode, the Topic Carousel will display Ready to Learn topics in the
current Objective. The Objectives drop-down menu conveniently displays the
breakdown for the number of topics that must be learned to complete the current Objective. Future Objectives are locked. Completing the current Objective
at the level specified by your instructor (e.g., 90%) will unlock the next Objective.
A.6.5
Locked Topics
Some topics that appear in the Topic Carousel may be locked. This occurs when there
is one or more prerequisite topic that must be learned prior to attempting the topic. A
lock icon appears in the topic card to distinguish the locked topics.
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A.7
APPENDIX A. ALEKS STUDENT USER’S GUIDE
Message Center
The Message Center allows you to send messages to your instructor if you need assistance
with a topic or problem in ALEKS. To compose a message, click the Navigation Menu
in the upper left corner of your screen. Next, click the Message Center link and select
the Compose button to create an email.
To include mathematical notation and illustrations:
1. Click the Math or Graphs 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 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, with the problem on the screen:
1. Click on the Envelope icon (located on the right-hand side of the screen). This
will take you into the ALEKS Message Center. The system will automatically be
in the Compose mode.
2. Fill in the Subject line and any details you want included in your message.
3. Below the body message section, the system will automatically check the box next
to Attach Page to include the current problem. Uncheck this box if you don’t
want the page attached to your message.
4. Click on the Send button to send the message.
You can also include attachments of up to 2MB in your messages.
A.8
Reports
You can access a wide range of reports in your ALEKS account by selecting the Main
The Report dashboard displays quick overviews of important data applicable to your
progress in ALEKS (Fig. A.14). You can move the tiles around by selecting the icon
in the upper-right corner of a tile. Selecting View Full Report on a tile will give you
more detailed information about that report.
Reports that may be available in your account include:
 ALEKS Pie (Sec. A.5.2)
 Timeline (Sec. A.5.1)
A.8. REPORTS
193
Figure A.14: Report Dashboard
 Progress History (Sec. A.8.1)
 Time and Topic Report (Sec. A.8.2)
 Objective Details Report (Sec. A.8.3)
 QuickTables Report (Sec. A.8.4)
A.8.1
Progress History
This report shows your progress on Knowledge Checks and in Learning Mode. Clicking
on the Current Class tab shows the progress for the current class. Clicking on the
All Classes tab shows the progress for all classes that you have been enrolled in.
 The dark blue bar shows the content mastered based on your most recent Knowledge Check.
 The light blue bar shows progress made in Learning Mode since your last Knowledge Check.
 The gray bar shows the content remaining to be learned.
A.8.2
Time and Topic Report
This report gives a daily breakdown of time spent in ALEKS. The view can be adjusted
to a weekly, monthly, or cumulative view or to a specific date range.
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APPENDIX A. ALEKS STUDENT USER’S GUIDE
 Hover over a bar to see how much time was spent and which topics were attempted
and learned on a given day.
 Select a bar to view the Learning Sequence Log, which shows the sequence of
actions you followed to learn the topic, including the exact problems practiced and
 Select the magnifying glass icon to see the answer that you entered with the correct
A.8.3
Objective Details Report
This report helps you track your progress towards Objective completion for classes set
up to use Objectives. The report displays goal topics, prerequisite topics, and locked
topics (topics not yet Ready to Learn). You can scroll through the Carousel to view
details on past, current, or future objectives.
A.8.4
QuickTables Report
This report shows your progress in QuickTables (Sec. A.12) based on Knowledge Checks
and Learning Mode. The report displays the following information:
 The total time spent in Quicktables since completion of the typing tutorial.
 The date the last Knowledge Check was completed.
A.9
Assignments
Figure A.15: Assignments
and past assignments in your class. Assignments are displayed in a table that includes
195
the assignment type, start date, due date, score, and details about the specific assignment. Assignments are sorted by due date. Assignments can be started by selecting an
assignment name. ALEKS indicates when assignments are In Progress or Saved for
Later; clicking on such assignments lets you pick up where you left off. Clicking on
an assignment score (for assignments that have been completed) will display detailed
information about that assignment (Fig. A.15).
A.10
displays assignments in your ALEKS class, e.g., tests, quizzes, and Objectives. You
can click on the Filters drop-down to customize the Gradebook display to show specific
assignment types (Fig. A.16).
A.11
Student Account Home
The Student Account Home groups all your ALEKS accounts under one profile with
one Login Name and Password. When you log on to ALEKS, you come first to your
Student Account Home. From here, you click on the link of the active class you wish
to work in.
The Student Account Home lists your current and past ALEKS classes, and includes
classes, and remove classes from the Student Account Home.
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APPENDIX A. ALEKS STUDENT USER’S GUIDE
Figure A.17: Student Account Home Main Screen
A.11.1
Account Management
main screen.
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
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.
Accessing a Class
You can access an active class by clicking on the class name. You will be taken
to your Home page 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.
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.
You can add a new class by clicking on the + NEW CLASS button (Fig. A.17).
You will be prompted to enter the class code for the new class. Once the new
A.11. STUDENT ACCOUNT HOME
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.
+ NEW CLASS creates a new account in a new class, and will require a new
20-character access code as well as the 10-character class code; it does not transfer
your current access code to a different class. To transfer your current access code
to a different class (and set the previously active account to inactive), use Switch
to a new class (below, Sec. A.11.2).
Account Settings
To access your account settings, click on your name in the upper right corner of the
Student Account Home main screen. This screen displays information both for the
profile account and for the college that you attend. This information includes your
name, the Login Name for the profile account, the account Password (hidden), and
the email address linked to the account. You can edit certain entries by clicking
on the Edit link to the right. To return to the main screen, click on the Done
button.
A.11.2
Class Management
Different options are available, depending on whether a class is ACTIVE, ON-HOLD,
or INACTIVE:
ACTIVE Class Options
The following options are available for ACTIVE classes:
Switch to a new 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. (No records will be kept if you switch
within the first 15 days after beginning the previous class; this period depends on
the instructor’s configuration of the class and may vary.) If the new class uses
the same course product as the one you were in previously, your progress will be
carried over; otherwise, a new Initial Knowledge Check will be required.
To begin a new class with a new access code, leaving the current class active, use
+ NEW CLASS (above, Sec. A.11.1).
Suspend Access to this Class. This option will only appear when your subscription meets the eligibility requirements for suspension (Sec. A.11.3). Once
suspended, an account appears in the ON-HOLD section.
the Extend option and entering a new 20-character access code. You will be able
to purchase the access code on line if needed.
ON-HOLD Class Options
The following option is available for ON-HOLD classes:
Reactivate Accounts. You can click on the Reactivate button when you are
ready to reactivate a class that was suspended or placed on Leave of Absence
(Sec. A.11.3 and Sec. A.11.4).
197
198
APPENDIX A. ALEKS STUDENT USER’S GUIDE
INACTIVE Class Options
The following options are available for INACTIVE classes:
PDF report displaying the pie chart and learning history progress achieved in the
inactive class.
by entering a new 20-character access code. The access code can be purchased on
line if needed. The course will then appear under ACTIVE.
Delete from my account. Inactive class accounts may be deleted; they will then
no longer be displayed in the Student Account Home.
A.11.3
Suspend Account
purchased subscription with ALEKS. The Suspend access to this class feature is
used when you have already purchased an access code and registered with ALEKS,
but then decide to drop the course with the intention of taking it again at the next
opportunity.
This feature can be used within a limited time after you activate your account.
 6-week access codes can be suspended within 7 days of activation OR if the account
has less than 5 hours of use, whichever comes first.
 11-week access codes can be suspended within 14 days of activation OR if the
account has less than 8 hours of use, whichever comes first.
 18-week, 2-semester, 3-quarter, and 52-week access codes can be suspended within
30 days of activation OR if the account has less than 10 hours of use, whichever
comes first.
(above, Sec. A.11.2). After you confirm this choice, the system will suspend the account
for a period of time equal to the length of the access code they purchased (6 weeks,
11, weeks, 18 weeks, etc.). At the end of this period you will be able to reactivate the
account (above, Sec. A.11.2), and you will have the full subscription length originally
purchased.
NOTE. Be sure to reactivate your suspended account in a timely way. If you do not
reactivate the account within a certain period of time following the end of the normal
suspension period, it will reactivate automatically and its time will begin to run, whether
or not you are using it.
Cancel Suspension. Should you suspend your account by mistake and then need it to
be reactivated before the end of the normal suspension period, you will need to contact
ALEKS Customer Support. If the suspension is cancelled, the time remaining for the
A.12. QUICKTABLES
199
access code will be recalculated from the original start date. Note that the Suspend
feature can only be used once per account.
A.11.4
Leave of Absence
In contrast to the Suspend feature, the Leave of Absence feature applies only to 2semester (40 week), 3-quarter (also 40 weeks), and 52-week access codes; it takes effect
automatically after a certain number of weeks have passed since the account was activated.
20 weeks after the access code was used to activate the account, you will receive a
one-week warning. The leave will begin automatically 21 weeks after the account
was activated.
When you log in after the 21st week, you will see another message informing
you that the account is on hold and giving the date on which the account will
automatically resume if it is not manually reactivated.
If you choose to resume using the account prior to the automatic reactivation date
(above, ”Reactivate Accounts,” Sec. A.11.2), you will be given access for the time
remaining on the access code.
A.12
QuickTables
Figure A.18: ALEKS QuickTables
QuickTables is a special tool in ALEKS for learning the math facts of Addition, Subtraction, Multiplication, and Division. It is available where needed as a component in
ALEKS classes.
200
APPENDIX A. ALEKS STUDENT USER’S GUIDE
When you log in to an ALEKS class where QuickTables is enabled, you will see the
into the QuickTables environment (Fig. A.18).
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 Knowledge Check of what you know now about the
best. The results of the Knowledge Check will tell QuickTables where you should start
off in your math facts table. This Initial Knowledge Check 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
Knowledge Check when you first start working in any table.
Figure A.19: QuickTables Learning Display
Once you finish the test, you will see a colored display that shows all the facts in the
table (Fig. A.19). The colors in the cells show whether you have learned that fact, and
A.12. QUICKTABLES
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, in the lower right-hand corner.
Above the table is a Progress bar that gives your overall percentage of the table. Notice
that there are gold stars on the bar. Every time you reach one of these stars, there will
be a new game for you to play. You earn access to 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 Games link top right. 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.
201
202
APPENDIX A. ALEKS STUDENT USER’S GUIDE
Appendix B
Syllabi in ALEKS
B.1
Basic Math
Whole Numbers
arith124
arith125
arith066
arith643
arith028
arith060
arith633
arith634
arith001
arith635
arith050
arith630
arith012
arith636
arith007
arith128
arith006
arith682
arith637
arith613
arith655
arith126
arith008
arith679
arith003
arith004
arith632
arith615
arith638
arith014
arith641
arith642
arith656
arith075
arith614
arith130
Whole number place value: Problem type 1
Whole number place value: Problem type 2
Expanded form
Expanded form with zeros
Numeral translation: Problem type 1
Numeral translation: Problem type 2
Addition of 3 or 4 one-digit numbers
Adding a 2-digit number and a 1-digit number with carry
Addition with carry to the hundreds place
Subtracting a 1-digit number from a 2-digit number
Subtraction without borrowing
Adding or subtracting 10, 100, or 1000
Subtraction with borrowing
Subtraction with multiple regrouping steps
Subtraction and regrouping with zeros
Word problem with addition or subtraction of whole numbers
One-digit multiplication
Multiplication by 10, 100, and 1000
Multiplication without carry
Multiplication with carry
Multiplication with trailing zeros: Problem type 1
Introduction to multiplication of large numbers
Multiplication with trailing zeros: Problem type 2
Multiplication of large numbers
Multiples: Problem type 1
Multiples: Problem type 2
Introduction to properties of multiplication
Division facts
Word problem with multiplication or division of whole numbers
Word problem with multiplication and addition or subtraction of whole numbers
203
204
APPENDIX B. SYLLABI IN ALEKS
arith243 Division of whole numbers given in fractional form
arith711 Division involving zero
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
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
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
arith604 Estimating a product or quotient of whole numbers
arith692 Writing expressions using exponents
arith233 Introduction to exponents
arith683 Power of 10: Positive exponent
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
arith693 Order of operations with whole numbers and exponents: Basic
arith713 Order of operations with whole numbers and exponents: Advanced
arith657 Understanding the distributive property
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
arith804 Least common multiple of 3 numbers
arith240 Word problem with common multiples
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
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
alge008 Multiplicative property of equality with whole numbers
alge803 Using two steps to solve an equation with whole numbers
Fractions
arith623
arith665
arith212
arith666
arith067
arith687
arith667
arith044
Introduction to fractions
Understanding equivalent fractions
Equivalent fractions
Introduction to simplifying a fraction
Simplifying a fraction
Fractional position on a number line
Plotting fractions on a number line
Ordering fractions with the same denominator
B.1. BASIC MATH
arith091
arith092
arith079
arith086
arith119
arith053
arith812
arith813
arith818
arith095
arith088
arith694
arith022
arith819
arith618
arith802
arith801
arith109
arith664
arith230
arith803
arith805
arith100
arith662
arith015
arith619
arith215
arith084
arith216
arith806
arith808
arith809
arith807
arith810
arith815
arith816
arith817
arith068
arith820
arith821
arith859
arith860
arith861
arith695
Ordering fractions with the same numerator
Using a common denominator to order fractions
Product of a unit fraction and a whole number
Product of a fraction and a whole number: Problem type 1
Introduction to fraction multiplication
Fraction multiplication
Product of a fraction and a whole number: Problem type 2
Multiplication of 3 fractions
Word problem involving fractions and multiplication
Multi-step word problem involving fractions and multiplication
The reciprocal of a number
Division involving a whole number and a fraction
Fraction division
Word problem involving fractions and division
Addition or subtraction of fractions with the same denominator
Addition or subtraction of fractions with the same denominator and simplification
Finding the LCD of two fractions
Addition or subtraction of unit fractions
Introduction to addition or subtraction of fractions with different denominators
Addition or subtraction of fractions with different denominators
Addition and subtraction of 3 fractions with different denominators
Word problem involving addition or subtraction of fractions with different denominators
Fractional part of a circle
Writing a mixed number and an improper fraction for a shaded region
Writing an improper fraction as a mixed number
Writing a mixed number as an improper fraction
Addition or subtraction of mixed numbers with the same denominator
Addition of mixed numbers with the same denominator and carry
Subtraction of mixed numbers with the same denominator and borrowing
Addition or subtraction of mixed numbers with different denominators and no carry or borrow
Addition of mixed numbers with different denominators and carry
Subtraction of mixed numbers with different denominators and borrowing
Addition and subtraction of 3 mixed numbers with different denominators
Word problem involving addition or subtraction of mixed numbers with different denominators
Mixed number multiplication
Multiplication of a mixed number and a whole number
Division with a mixed number and a whole number
Mixed number division
Word problem involving multiplication or division with mixed numbers
Exponents and fractions
Order of operations with fractions: Problem type 1
Order of operations with fractions: Problem type 2
Order of operations with fractions: Problem type 3
Complex fraction without variables: Problem type 1
Decimals
arith127
arith110
arith220
arith714
arith715
arith716
arith829
arith830
arith831
arith832
arith129
arith608
arith221
Writing a decimal and a fraction for a shaded region
Decimal place value: Tenths and hundredths
Decimal place value: Hundreds to ten thousandths
Writing a decimal number less than 1 given its name
Writing a decimal number greater than 1 given its name
Writing a decimal number given its name: Advanced
Reading decimal position on a number line: Tenths
Reading decimal position on a number line: Hundredths
Understanding decimal position on a number line using zoom: Hundredths
Understanding decimal position on a number line using zoom: Thousandths
Introduction to ordering decimals
Ordering decimals
Rounding decimals
205
206
APPENDIX B. SYLLABI 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
arith013 Decimal addition with 3 numbers
arith734 Subtraction of aligned decimals
arith735 Decimal subtraction: Basic
arith737 Decimal addition and subtraction with 3 or more numbers
arith131 Estimating a decimal sum or difference
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
arith224 Word problem with decimal addition and multiplication
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
arith227 Word problem with decimal subtraction and division
alge823 Solving a one-step word problem using the formula d = rt
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
arith609 Ordering fractions and decimals
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
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
Ratios, Proportions, and Percents
arith823 Writing ratios using different notations
B.1. BASIC MATH
arith663 Writing ratios for real-world situations
arith824 Simplifying a ratio of whole numbers: Problem type 1
arith825 Simplifying a ratio of decimals
arith827 Finding a unit price
arith828 Computing unit prices to find the better buy
arith064 Solving a word problem on proportions using a unit rate
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
arith610 Word problem on proportions: Problem type 1
arith611 Word problem on proportions: Problem type 2
alge063 Word problem on mixed number proportions
arith045 Word problem with powers of ten
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
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
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
mstat049 Computing a percentage from a table of values
arith850 Finding the rate of a tax or commission
arith849 Finding the total amount given the percentage of a partial amount
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
arith853 Introduction to compound interest
alge741 Finding the final amount in a word problem on compound interest
arith854 Computing a percent mixture
Geometry
geom339
geom300
geom618
geom078
geom221
geom353
Perimeter of a polygon
Perimeter of a square or a rectangle
Perimeter of a polygon involving mixed numbers and fractions
Sides of polygons having the same perimeter
Finding the missing length in a figure
Perimeter of a piecewise rectangular figure
207
208
APPENDIX B. SYLLABI IN ALEKS
geom358 Identifying parallel and perpendicular lines
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
geom305 Identifying supplementary and vertical angles
geom304 Identifying corresponding and alternate angles
geom306 Acute, obtuse, and right triangles
geom307 Classifying scalene, isosceles, and equilateral triangles by side lengths or angles
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
geom361 Naming polygons
mstat042 Interpreting a Venn diagram of 2 sets
geom867 Identifying parallelograms, rectangles, and squares
geom532 Classifying parallelograms
geom019 Area of a square or a rectangle
geom866 Perimeter and area on a grid
geom620 Area of a rectangle involving fractions
geom619 Area of a rectangle involving mixed numbers and fractions
geom350 Distinguishing between the area and perimeter of a rectangle
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
geom142 Word problem involving the area between two rectangles
geom801 Area of a triangle
geom344 Area involving rectangles and triangles
geom022 Area of a parallelogram
geom023 Area of a trapezoid
geom347 Introduction to a circle: Diameter, radius, and chord
geom016 Circumference of a circle
geom301 Perimeter involving rectangles and circles
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
geom868 Classifying solids
geom348 Vertices, edges, and faces of a solid
geom830 Counting the cubes in a solid made of cubes
geom354 Volume of a rectangular prism made of unit cubes
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
geom622 Volume of a cone
geom841 Volume of a sphere
geom219 Nets of solids
geom816 Side views of a solid made of cubes
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
geom621 Surface area of a cylinder
geom842 Surface area of a sphere
arith016 Square root of a perfect square
arith763 Using a calculator to approximate a square root
arith602 Estimating a square root
arith601 Square root of a rational perfect square
B.1. BASIC MATH
alge407 Introduction to the Pythagorean Theorem
geom044 Pythagorean Theorem
alge408 Word problem involving the Pythagorean Theorem
geom359 Identifying congruent shapes on a grid
geom520 Identifying and naming congruent triangles
geom360 Identifying similar or congruent shapes on a grid
geom037 Similar polygons
geom038 Similar right triangles
geom337 Indirect measurement
Measurement
mstat059 Choosing U.S. Customary measurement units
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
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
time007 Elapsed time
arith063 Word problem with clocks
mstat065 Converting between temperatures in Fahrenheit and Celsius
arith826 Simplifying a ratio of whole numbers: Problem type 2
unit034 Converting between metric and U.S. Customary unit systems
unit035 Converting between compound units: Basic
unit036 Converting between compound units: Advanced
Data Analysis and Statistics
mstat056 Interpreting a tally table
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
mstat007 Interpreting a line graph
mstat031 Interpreting a stem-and-leaf plot
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
geom814 Angle measure in a circle graph
stat020 Calculating relative frequencies in a contingency table
stat805 Making a reasonable inference based on proportion statistics
mstat025 Finding if a question can be answered by the data
mstat003 Mode of a data set
mstat055 Finding the mode and range of a data set
arith103 Average of two numbers
mstat001 Mean of a data set
209
210
APPENDIX B. SYLLABI IN ALEKS
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
mstat066 Weighted mean
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
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
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
mstat032 Probability of the union of two events
Real Numbers
alge286 Plotting integers on a number line
arith605 Plotting rational numbers on a number line
mstat038 Reading the temperature from a thermometer
arith699 Writing a signed number for a real-world situation
arith691 Ordering integers
arith712 Ordering real numbers
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
arith754 Addition and subtraction with 3 integers
arith755 Addition and subtraction with 4 or 5 integers
arith701 Word problem with addition or subtraction of integers
arith231 Integer multiplication and division
arith800 Multiplication of 3 or 4 integers
alge001 Identifying numbers as integers or non-integers
alge002 Identifying numbers as rational or irrational
arith116 Signed fraction addition or subtraction: Basic
arith864 Signed fraction subtraction involving double negation
arith811 Addition and subtraction of 3 fractions involving signs
arith822 Signed fraction multiplication: Basic
arith814 Signed fraction division
arith117 Signed decimal addition and subtraction
B.1. BASIC MATH
arith234 Signed decimal addition and subtraction with 3 numbers
arith750 Signed decimal multiplication
arith751 Signed decimal division
arith104 Operations with absolute value: Problem type 2
unit052 Finding the absolute error and percent error of a measurement
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
arith696 Complex fraction without variables: Problem type 2
arith036 Scientific notation with positive exponent
arith037 Scientific notation with negative exponent
scinot012 Converting between scientific notation and standard form in a real-world situation
Algebraic Expressions and Equations
alge005
alge808
alge302
alge303
alge832
alge004
alge310
alge606
alge604
alge700
alge607
alge608
alge609
alge293
alge432
alge436
alge437
alge187
alge188
alge801
alge800
alge010
alge836
alge511
alge820
alge825
alge797
alge012
alge513
alge834
alge266
alge006
alge200
alge920
alge837
alge986
alge824
alge838
alge862
alge863
alge011
bution
alge013
tion
Evaluating a linear expression: Integer multiplication with addition or subtraction
Evaluating a linear expression: Signed fraction multiplication with addition or subtraction
Evaluating a linear expression: Signed decimal addition and subtraction
Evaluating a linear expression: Signed decimal multiplication with addition or subtraction
Evaluating an algebraic expression: Whole number operations and exponents
Multiplying a constant and a linear monomial
Distributive property: Whole number coefficients
Distributive property: Integer coefficients
Combining like terms: Whole number coefficients
Combining like terms: Integer coefficients
Using distribution and combining like terms to simplify: Univariate
Using distribution with double negation and combining like terms to simplify: Multivariate
Combining like terms in a quadratic expression
Introduction to adding fractions with variables and common denominators
Adding rational expressions with different denominators and a single occurrence of a variable
Adding rational expressions with denominators ax and bx: Basic
Properties of real numbers
Additive property of equality with fractions and mixed numbers
Additive property of equality with decimals
Additive property of equality with integers
Additive property of equality with signed fractions
Solving for a variable in terms of other variables using addition or subtraction: Basic
Multiplicative property of equality with fractions
Multiplicative property of equality with decimals
Multiplicative property of equality with integers
Multiplicative property of equality with signed fractions
Solving for a variable in terms of other variables using multiplication or division: Basic
Identifying solutions to a linear equation in one variable: Two-step equations
Additive property of equality with a negative coefficient
Solving a two-step equation with integers
Solving an equation to find the value of an expression
Introduction to solving an equation with parentheses
Solving a multi-step equation given in fractional form
Identifying properties used to solve a linear equation
Solving a two-step equation with signed decimals
Introduction to solving an equation with variables on the same side
Solving a linear equation with several occurrences of the variable: Variables on the same side
Solving a linear equation with several occurrences of the variable: Variables on both sides
Solving a linear equation with several occurrences of the variable: Variables on the same side and distriSolving a linear equation with several occurrences of the variable: Variables on both sides and distribu-
211
212
APPENDIX B. SYLLABI IN ALEKS
alge209 Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions
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)&divide;b = c&divide;d
alge271 Solving a proportion of the form a/(x+b) = c/x
alge512 Solving for a variable in terms of other variables using addition or subtraction: Advanced
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
alge016 Translating a sentence into a one-step equation
alge841 Translating a sentence into a multi-step equation
alge802 Solving a fraction word problem using a linear equation of the form Ax = B
alge218 Solving a word problem involving rates and time conversion
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
alge842 Solving a word problem involving consecutive integers
geom530 Solving equations involving vertical angles
geom531 Solving equations involving angles and a pair of 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
geom817 Finding a side length given the perimeter and side lengths with variables
geom143 Finding the perimeter or area of a rectangle given one of these values
geom218 Finding the radius or the diameter of a circle given its circumference
geom838 Circumference ratios
Inequalities
alge015
alge017
alge822
alge845
alge846
alge748
alge844
alge848
alge849
alge852
alge853
alge854
alge964
alge855
alge856
Translating a sentence by using an inequality symbol
Graphing a linear inequality on the number line
Writing an inequality given a graph on the number line
Translating a sentence into a one-step inequality
Translating a sentence into a multi-step inequality
Writing an inequality for a real-world situation
Identifying solutions to a two-step linear inequality in one variable
Additive property of inequality with whole numbers
Additive property of inequality with integers
Additive property of inequality with signed fractions
Additive property of inequality with signed decimals
Multiplicative property of inequality with integers
Multiplicative property of inequality with signed fractions
Solving a two-step linear inequality: Problem type 1
Solving a two-step linear inequality: Problem type 2
Graphs of Linear Equations
alge064 Reading a point in the coordinate plane
alge067 Plotting a point in the coordinate plane
alge850 Table for a linear equation
alge873 Identifying solutions to a linear equation in two variables
alge066 Finding a solution to a linear equation in two variables
fun005 Writing a function rule given a table of ordered pairs: One-step rules
B.1. BASIC MATH
alge191
alge877
alge878
alge879
alge880
alge198
alge884
alge924
alge210
alge197
alge881
alge954
alge875
alge886
alge887
alge885
alge888
alge259
alge196
alge701
alge263
alge060
alge982
alge938
alge904
alge175
alge828
alge905
alge903
alge902
alge176
Midpoint of a line segment in the plane
Graphing a linear equation of the form y = mx
Graphing a line given its equation in slope-intercept form: Integer slope
Graphing a line given its equation in slope-intercept form: Fractional slope
Graphing a line given its equation in standard form
Graphing a vertical or horizontal line
Finding x- and y-intercepts given the graph of a line on a grid
Finding x- and y-intercepts of a line given the equation: Basic
Finding x- and y-intercepts of a line given the equation: Advanced
Graphing a line given its x- and y-intercepts
Graphing a line by first finding its x- and y-intercepts
Graphing a parabola of the form y = ax2
Classifying slopes given graphs of lines
Finding slope given the graph of a line on a grid
Finding slope given two points on the line
Finding the slope of horizontal and vertical lines
Finding the coordinate that yields a given slope
Graphing a line given its slope and y-intercept
Graphing a line through a given point with a given slope
Writing an equation and drawing its graph to model a real-world situation: Advanced
Interpreting the graphs of two functions
Solving a rational equation that simplifies to linear: Denominator x
Identifying direct variation equations
Identifying direct variation from ordered pairs and writing equations
Writing a direct variation equation
Word problem on direct variation
Interpreting direct variation from a graph
Writing an inverse variation equation
Identifying direct and inverse variation equations
Identifying direct and inverse variation from ordered pairs and writing equations
Word problem on inverse variation
Exponents and Polynomials
alge758 Degree and leading coefficient of a univariate 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
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
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
alge756 Power and product rules with positive exponents
arith029 Ordering numbers with positive exponents
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
alge935 Multiplication involving binomials and trinomials in one variable
213
214
APPENDIX B. SYLLABI IN ALEKS
alge180 Multiplication involving binomials and trinomials in two variables
alge736 Introduction to the GCF of two monomials
alge037 Greatest common factor of two multivariate monomials
alge930 Greatest common factor of three univariate monomials
alge737 Introduction to the LCM of two monomials
alge055 Least common multiple of two monomials
alge605 Factoring a linear binomial
alge738 Factoring out a monomial from a polynomial: Univariate
alge739 Factoring out a monomial from a polynomial: Multivariate
alge451 Simplifying a ratio of multivariate monomials: Basic
alge827 Introduction to the quotient rule of exponents
alge452 Simplifying a ratio of univariate monomials
alge026 Quotient of expressions involving exponents
alge453 Simplifying a ratio of multivariate monomials: Advanced
alge790 Evaluating expressions with exponents of zero
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
alge791 Rewriting an algebraic expression without a negative exponent
alge961 Introduction to the product rule with negative exponents
alge028 Product rule with negative exponents
alge025 Power of a power rule with negative exponents
alge799 Power rules with negative exponents
alge755 Quotient rule with negative exponents: Problem type 1
scinot008 Multiplying numbers written in scientific notation: Basic
scinot009 Multiplying numbers written in scientific notation: Advanced
scinot010 Dividing numbers written in scientific notation: Basic
scinot011 Dividing numbers written in scientific notation: Advanced
alge413 Finding all square roots of a number
arith093 Simplifying the square root of a whole number less than 100
arith762 Simplifying the square root of a whole number greater than 100
arith764 Introduction to square root multiplication
arith765 Square root multiplication: Basic
arith767 Introduction to square root addition or subtraction
arith032 Square root addition or subtraction
alge533 Square root addition or subtraction with three terms
B.2
Pre-Algebra
Whole Numbers
arith124
arith125
arith066
arith643
arith028
arith060
arith633
arith634
arith001
arith635
arith050
arith630
arith012
arith636
arith007
arith128
Whole number place value: Problem type 1
Whole number place value: Problem type 2
Expanded form
Expanded form with zeros
Numeral translation: Problem type 1
Numeral translation: Problem type 2
Addition of 3 or 4 one-digit numbers
Adding a 2-digit number and a 1-digit number with carry
Addition with carry to the hundreds place
Subtracting a 1-digit number from a 2-digit number
Subtraction without borrowing
Adding or subtracting 10, 100, or 1000
B.2. PRE-ALGEBRA
arith006
arith682
arith637
arith613
arith655
arith126
arith008
arith679
arith003
arith004
arith632
arith615
arith638
arith014
arith641
arith642
arith656
arith075
arith614
arith130
arith243
arith711
arith052
arith005
arith680
arith649
arith616
arith644
arith617
arith631
arith650
arith023
arith646
arith651
arith077
arith078
arith123
arith061
arith101
arith102
arith604
arith692
arith233
arith683
arith645
arith681
arith048
arith051
arith693
arith713
arith657
Subtraction with borrowing
Subtraction with multiple regrouping steps
Subtraction and regrouping with zeros
Word problem with addition or subtraction of whole numbers
One-digit multiplication
Multiplication by 10, 100, and 1000
Multiplication without carry
Multiplication with carry
Multiplication with trailing zeros: Problem type 1
Introduction to multiplication of large numbers
Multiplication with trailing zeros: Problem type 2
Multiplication of large numbers
Multiples: Problem type 1
Multiples: Problem type 2
Introduction to properties of multiplication
Division facts
Word problem with multiplication or division of whole numbers
Word problem with multiplication and addition or subtraction of whole numbers
Division of whole numbers given in fractional form
Division involving zero
Division without carry
Division with carry
Division with trailing zeros: Problem type 1
Division with trailing zeros: Problem type 2
Quotient and remainder: Problem type 1
Word problem on quotient and remainder
Quotient and remainder: Problem type 2
Quotient and remainder: Problem type 3
Division involving quotients with intermediate zeros
Word problem with division of whole numbers and rounding
Even and odd numbers
Introduction to inequalities
Ordering large numbers
Rounding to tens or hundreds
Rounding to hundreds or thousands
Rounding to thousands, ten thousands, or hundred thousands
Estimating a sum of whole numbers
Estimating a difference of whole numbers
Estimating a product or quotient of whole numbers
Writing expressions using exponents
Introduction to exponents
Power of 10: Positive exponent
Introduction to parentheses
Introduction to order of operations
Order of operations with whole numbers
Order of operations with whole numbers and grouping symbols
Order of operations with whole numbers and exponents: Basic
Order of operations with whole numbers and exponents: Advanced
Understanding the distributive property
Integers
alge286 Plotting integers on a number line
mstat038 Reading the temperature from a thermometer
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
215
216
APPENDIX B. SYLLABI IN ALEKS
arith108
arith688
arith689
arith690
arith754
arith755
arith701
arith104
arith231
arith800
arith702
arith703
arith118
arith600
Integer subtraction: Problem type 1
Integer subtraction: Problem type 2
Integer subtraction: Problem type 3
Addition and subtraction with 3 integers
Addition and subtraction with 4 or 5 integers
Word problem with addition or subtraction of integers
Operations with absolute value: Problem type 2
Integer multiplication and division
Multiplication of 3 or 4 integers
Exponents and integers: Problem type 1
Exponents and integers: Problem type 2
Order of operations with integers
Order of operations with integers and exponents
Algebraic Expressions and Equations
alge284
alge683
alge285
alge832
alge005
alge004
alge310
alge606
alge604
alge700
alge607
alge608
alge609
alge293
alge009
alge010
alge511
alge008
alge797
alge513
alge834
alge803
alge266
alge006
alge200
alge920
alge838
alge862
alge863
alge011
bution
alge013
tion
alge986
alge742
alge512
alge733
alge831
alge291
alge016
alge841
alge014
alge842
Evaluating an algebraic expression: Whole number addition or subtraction
Evaluating an algebraic expression: Whole number multiplication or division
Evaluating an algebraic expression: Whole numbers with two operations
Evaluating an algebraic expression: Whole number operations and exponents
Evaluating a linear expression: Integer multiplication with addition or subtraction
Multiplying a constant and a linear monomial
Distributive property: Whole number coefficients
Distributive property: Integer coefficients
Combining like terms: Whole number coefficients
Combining like terms: Integer coefficients
Using distribution and combining like terms to simplify: Univariate
Using distribution with double negation and combining like terms to simplify: Multivariate
Combining like terms in a quadratic expression
Additive property of equality with whole numbers
Additive property of equality with integers
Solving for a variable in terms of other variables using addition or subtraction: Basic
Multiplicative property of equality with whole numbers
Multiplicative property of equality with integers
Solving for a variable in terms of other variables using multiplication or division: Basic
Identifying solutions to a linear equation in one variable: Two-step equations
Using two steps to solve an equation with whole numbers
Additive property of equality with a negative coefficient
Solving a two-step equation with integers
Solving an equation to find the value of an expression
Introduction to solving an equation with parentheses
Introduction to solving an equation with variables on the same side
Solving a linear equation with several occurrences of the variable: Variables on the same side
Solving a linear equation with several occurrences of the variable: Variables on both sides
Solving a linear equation with several occurrences of the variable: Variables on the same side and distriSolving a linear equation with several occurrences of the variable: Variables on both sides and distribuIdentifying properties used to solve a linear equation
Solving equations with zero, one, or infinitely many solutions
Solving for a variable in terms of other variables using addition or subtraction: Advanced
Writing a one-step expression for a real-world situation
Translating a phrase into a one-step expression
Translating a phrase into a two-step expression
Translating a sentence into a one-step equation
Translating a sentence into a multi-step equation
Solving a word problem with two unknowns using a linear equation
Solving a word problem involving consecutive integers
B.2. PRE-ALGEBRA
Fractions
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
arith804 Least common multiple of 3 numbers
arith240 Word problem with common multiples
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
arith623 Introduction to fractions
arith665 Understanding equivalent fractions
arith212 Equivalent fractions
arith666 Introduction to simplifying a fraction
arith067 Simplifying a fraction
alge451 Simplifying a ratio of multivariate monomials: Basic
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
arith813 Multiplication of 3 fractions
arith822 Signed fraction multiplication: Basic
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
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
arith811 Addition and subtraction of 3 fractions involving signs
alge436 Adding rational expressions with different denominators and a single occurrence of a variable
alge437 Adding rational expressions with denominators ax and bx: Basic
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
217
218
APPENDIX B. SYLLABI IN ALEKS
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
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
alge808 Evaluating a linear expression: Signed fraction multiplication with addition or subtraction
arith695 Complex fraction without variables: Problem type 1
arith696 Complex fraction without variables: Problem type 2
alge801 Additive property of equality with fractions and mixed numbers
alge836 Additive property of equality with signed fractions
alge820 Multiplicative property of equality with fractions
alge012 Multiplicative property of equality with signed fractions
alge837 Solving a multi-step equation given in fractional form
alge208 Solving a two-step equation with signed fractions
alge420 Solving a linear equation with several occurrences of the variable: Fractional forms with monomial numerators
alge061 Solving a linear equation with several occurrences of the variable: Variables on both sides and fractional
coefficients
alge209 Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions
alge188 Properties of real numbers
alge802 Solving a fraction word problem using a linear equation of the form Ax = B
alge704 Solving a fraction word problem using a linear equation with the variable on both sides
Decimals
arith127
arith110
arith220
arith714
arith715
arith716
arith829
arith830
arith831
arith832
arith129
arith608
arith221
arith717
arith719
arith718
arith087
arith721
arith722
arith724
arith624
arith013
Writing a decimal and a fraction for a shaded region
Decimal place value: Tenths and hundredths
Decimal place value: Hundreds to ten thousandths
Writing a decimal number less than 1 given its name
Writing a decimal number greater than 1 given its name
Writing a decimal number given its name: Advanced
Reading decimal position on a number line: Tenths
Reading decimal position on a number line: Hundredths
Understanding decimal position on a number line using zoom: Hundredths
Understanding decimal position on a number line using zoom: Thousandths
Introduction to ordering decimals
Ordering decimals
Rounding decimals
Converting a decimal to a proper fraction without simplifying: Basic
Converting a decimal to a proper fraction without simplifying: Advanced
Converting a decimal to a proper fraction in simplest form: Basic
Converting a decimal to a proper fraction in simplest form: Advanced
Converting a decimal to a mixed number and an improper fraction without simplifying
Converting a decimal to a mixed number and an improper fraction in simplest form: Basic
Converting a decimal to a mixed number and an improper fraction in simplest form: Advanced
B.2. PRE-ALGEBRA
arith734 Subtraction of aligned decimals
arith735 Decimal subtraction: Basic
arith737 Decimal addition and subtraction with 3 or more numbers
arith117 Signed decimal addition and subtraction
arith234 Signed decimal addition and subtraction with 3 numbers
arith131 Estimating a decimal sum or difference
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
arith750 Signed decimal multiplication
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
arith224 Word problem with decimal addition and multiplication
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
arith751 Signed decimal division
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
arith227 Word problem with decimal subtraction and division
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
arith609 Ordering fractions and decimals
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
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
alge302 Evaluating a linear expression: Signed decimal addition and subtraction
alge303 Evaluating a linear expression: Signed decimal multiplication with addition or subtraction
arith748 Addition or subtraction with a decimal and a mixed number
arith749 Multiplication with a decimal and a fraction
alge800 Additive property of equality with decimals
alge825 Multiplicative property of equality with decimals
alge824 Solving a two-step equation with signed decimals
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
arith016 Square root of a perfect square
arith763 Using a calculator to approximate a square root
arith602 Estimating a square root
arith601 Square root of a rational perfect square
219
220
APPENDIX B. SYLLABI IN ALEKS
alge413 Finding all square roots of a number
arith093 Simplifying the square root of a whole number less than 100
arith762 Simplifying the square root of a whole number greater than 100
arith764 Introduction to square root multiplication
arith765 Square root multiplication: Basic
arith767 Introduction to square root addition or subtraction
arith032 Square root addition or subtraction
alge533 Square root addition or subtraction with three terms
alge001 Identifying numbers as integers or non-integers
alge002 Identifying numbers as rational or irrational
arith712 Ordering real numbers
Ratios, Proportions, and Percents
arith823 Writing ratios using different notations
arith663 Writing ratios for real-world situations
arith824 Simplifying a ratio of whole numbers: Problem type 1
arith825 Simplifying a ratio of decimals
arith827 Finding a unit price
arith828 Computing unit prices to find the better buy
arith064 Solving a word problem on proportions using a unit rate
alge823 Solving a one-step word problem using the formula d = rt
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
alge840 Solving a proportion of the form (x+a)&divide;b = c&divide;d
alge271 Solving a proportion of the form a/(x+b) = c/x
arith610 Word problem on proportions: Problem type 1
arith611 Word problem on proportions: Problem type 2
alge063 Word problem on mixed number proportions
arith045 Word problem with powers of ten
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
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
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
mstat049 Computing a percentage from a table of values
arith850 Finding the rate of a tax or commission
arith849 Finding the total amount given the percentage of a partial amount
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
B.2. PRE-ALGEBRA
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
alge741 Finding the final amount in a word problem on compound interest
arith854 Computing a percent mixture
Geometry
geom339 Perimeter of a polygon
geom300 Perimeter of a square or a rectangle
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
geom358 Identifying parallel and perpendicular lines
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
geom305 Identifying supplementary and vertical angles
geom530 Solving equations involving vertical angles
geom304 Identifying corresponding and alternate angles
geom531 Solving equations involving angles and a pair of parallel lines
geom306 Acute, obtuse, and right triangles
geom307 Classifying scalene, isosceles, and equilateral triangles by side lengths or angles
geom001 Finding an angle measure of a triangle given two angles
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
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
geom361 Naming polygons
mstat042 Interpreting a Venn diagram of 2 sets
geom867 Identifying parallelograms, rectangles, and squares
geom532 Classifying parallelograms
geom019 Area of a square or a rectangle
geom866 Perimeter and area on a grid
geom620 Area of a rectangle involving fractions
geom619 Area of a rectangle involving mixed numbers and fractions
geom350 Distinguishing between the area and perimeter of a rectangle
geom351 Areas of rectangles with the same perimeter
geom217 Finding the side length of a rectangle given its perimeter or area
geom817 Finding a side length given the perimeter and side lengths with variables
geom143 Finding the perimeter or area of a rectangle given one of these values
geom340 Area of a piecewise rectangular figure
geom142 Word problem involving the area between two rectangles
geom801 Area of a triangle
geom344 Area involving rectangles and triangles
geom022 Area of a parallelogram
geom023 Area of a trapezoid
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
221
222
APPENDIX B. SYLLABI IN ALEKS
geom838 Circumference ratios
geom301 Perimeter involving rectangles and circles
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
geom868 Classifying solids
geom348 Vertices, edges, and faces of a solid
geom830 Counting the cubes in a solid made of cubes
geom354 Volume of a rectangular prism made of unit cubes
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
geom622 Volume of a cone
geom841 Volume of a sphere
geom219 Nets of solids
geom816 Side views of a solid made of cubes
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
geom621 Surface area of a cylinder
geom842 Surface area of a sphere
alge407 Introduction to the Pythagorean Theorem
geom044 Pythagorean Theorem
alge408 Word problem involving the Pythagorean Theorem
geom359 Identifying congruent shapes on a grid
geom520 Identifying and naming congruent triangles
geom360 Identifying similar or congruent shapes on a grid
geom037 Similar polygons
geom038 Similar right triangles
geom337 Indirect measurement
Measurement
mstat059 Choosing U.S. Customary measurement units
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
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
time007 Elapsed time
arith063 Word problem with clocks
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
B.2. PRE-ALGEBRA
unit036 Converting between compound units: Advanced
Statistics and Probability
mstat056 Interpreting a tally table
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
mstat007 Interpreting a line graph
mstat031 Interpreting a stem-and-leaf plot
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
geom814 Angle measure in a circle graph
stat020 Calculating relative frequencies in a contingency table
stat805 Making a reasonable inference based on proportion statistics
mstat025 Finding if a question can be answered by the data
mstat003 Mode of a data set
mstat055 Finding the mode and range of a data set
arith103 Average of two numbers
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
mstat053 Choosing the best measure to describe data
stat802 Rejecting unreasonable claims based on average statistics
mstat066 Weighted mean
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
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
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
mstat032 Probability of the union of two events
Graphs of Linear Equations
alge064 Reading a point in the coordinate plane
alge067 Plotting a point in the coordinate plane
223
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APPENDIX B. SYLLABI IN ALEKS
alge850 Table for a linear equation
alge873 Identifying solutions to a linear equation in two variables
alge066 Finding a solution to a linear equation in two variables
fun005 Writing a function rule given a table of ordered pairs: One-step rules
alge191 Midpoint of a line segment in the plane
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
alge954 Graphing a parabola of the form y = ax2
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
alge259 Graphing a line given its slope and y-intercept
alge196 Graphing a line through a given point with a given slope
alge701 Writing an equation and drawing its graph to model a real-world situation: Advanced
alge263 Interpreting the graphs of two functions
alge060 Solving a rational equation that simplifies to linear: Denominator x
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
Exponents and Polynomials
alge758 Degree and leading coefficient of a univariate 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
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
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
alge756 Power and product rules with positive exponents
arith029 Ordering numbers with positive exponents
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
B.3. PRE-ALGEBRA AND INTRODUCTORY ALGEBRA
alge081 Multiplying conjugate binomials: Multivariate
alge032 Squaring a binomial: Univariate
alge068 Squaring a binomial: Multivariate
alge935 Multiplication involving binomials and trinomials in one variable
alge180 Multiplication involving binomials and trinomials in two variables
alge736 Introduction to the GCF of two monomials
alge037 Greatest common factor of two multivariate monomials
alge930 Greatest common factor of three univariate monomials
alge737 Introduction to the LCM of two monomials
alge055 Least common multiple of two monomials
alge605 Factoring a linear binomial
alge738 Factoring out a monomial from a polynomial: Univariate
alge739 Factoring out a monomial from a polynomial: Multivariate
alge827 Introduction to the quotient rule of exponents
alge452 Simplifying a ratio of univariate monomials
alge026 Quotient of expressions involving exponents
alge453 Simplifying a ratio of multivariate monomials: Advanced
alge790 Evaluating expressions with exponents of zero
arith729 Evaluating an expression with a negative exponent: Whole number base
arith684 Power of 10: Negative exponent
arith042 Evaluating an expression with a negative exponent: Positive fraction base
arith043 Evaluating an expression with a negative exponent: Negative integer base
alge791 Rewriting an algebraic expression without a negative exponent
alge961 Introduction to the product rule with negative exponents
alge028 Product rule with negative exponents
alge025 Power of a power rule with negative exponents
alge799 Power rules with negative exponents
alge755 Quotient rule with negative exponents: Problem type 1
arith036 Scientific notation with positive exponent
arith037 Scientific notation with negative exponent
scinot012 Converting between scientific notation and standard form in a real-world situation
scinot008 Multiplying numbers written in scientific notation: Basic
scinot009 Multiplying numbers written in scientific notation: Advanced
scinot010 Dividing numbers written in scientific notation: Basic
scinot011 Dividing numbers written in scientific notation: Advanced
Inequalities
alge015
alge017
alge822
alge845
alge846
alge748
alge844
alge848
alge849
alge852
alge853
alge854
alge964
alge855
alge856
B.3
Translating a sentence by using an inequality symbol
Graphing a linear inequality on the number line
Writing an inequality given a graph on the number line
Translating a sentence into a one-step inequality
Translating a sentence into a multi-step inequality
Writing an inequality for a real-world situation
Identifying solutions to a two-step linear inequality in one variable
Additive property of inequality with whole numbers
Additive property of inequality with integers
Additive property of inequality with signed fractions
Additive property of inequality with signed decimals
Multiplicative property of inequality with integers
Multiplicative property of inequality with signed fractions
Solving a two-step linear inequality: Problem type 1
Solving a two-step linear inequality: Problem type 2
Pre-Algebra and Introductory Algebra
Whole Numbers
225
226
APPENDIX B. SYLLABI IN ALEKS
arith124
arith125
arith066
arith643
arith028
arith060
arith633
arith634
arith001
arith635
arith050
arith630
arith012
arith636
arith007
arith128
arith006
arith682
arith637
arith613
arith655
arith126
arith008
arith679
arith003
arith004
arith632
arith615
arith638
arith014
arith641
arith642
arith656
arith075
arith614
arith130
arith243
arith711
arith052
arith005
arith680
arith649
arith616
arith644
arith617
arith631
arith650
arith023
arith651
arith077
arith078
arith123
arith061
arith101
arith102
arith604
arith692
arith233
arith683
arith645
arith681
arith048
Whole number place value: Problem type 1
Whole number place value: Problem type 2
Expanded form
Expanded form with zeros
Numeral translation: Problem type 1
Numeral translation: Problem type 2
Addition of 3 or 4 one-digit numbers
Adding a 2-digit number and a 1-digit number with carry
Addition with carry to the hundreds place
Subtracting a 1-digit number from a 2-digit number
Subtraction without borrowing
Adding or subtracting 10, 100, or 1000
Subtraction with borrowing
Subtraction with multiple regrouping steps
Subtraction and regrouping with zeros
Word problem with addition or subtraction of whole numbers
One-digit multiplication
Multiplication by 10, 100, and 1000
Multiplication without carry
Multiplication with carry
Multiplication with trailing zeros: Problem type 1
Introduction to multiplication of large numbers
Multiplication with trailing zeros: Problem type 2
Multiplication of large numbers
Multiples: Problem type 1
Multiples: Problem type 2
Introduction to properties of multiplication
Division facts
Word problem with multiplication or division of whole numbers
Word problem with multiplication and addition or subtraction of whole numbers
Division of whole numbers given in fractional form
Division involving zero
Division without carry
Division with carry
Division with trailing zeros: Problem type 1
Division with trailing zeros: Problem type 2
Quotient and remainder: Problem type 1
Word problem on quotient and remainder
Quotient and remainder: Problem type 2
Quotient and remainder: Problem type 3
Division involving quotients with intermediate zeros
Word problem with division of whole numbers and rounding
Introduction to inequalities
Ordering large numbers
Rounding to tens or hundreds
Rounding to hundreds or thousands
Rounding to thousands, ten thousands, or hundred thousands
Estimating a sum of whole numbers
Estimating a difference of whole numbers
Estimating a product or quotient of whole numbers
Writing expressions using exponents
Introduction to exponents
Power of 10: Positive exponent
Introduction to parentheses
Introduction to order of operations
Order of operations with whole numbers
B.3. PRE-ALGEBRA AND INTRODUCTORY ALGEBRA
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
arith657 Understanding the distributive property
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
alge832 Evaluating an algebraic expression: Whole number operations and exponents
alge009 Additive property of equality with whole numbers
alge008 Multiplicative property of equality with whole numbers
alge803 Using two steps to solve an equation 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
arith034 Prime numbers
arith035 Prime factorization
arith033 Greatest common factor of 2 numbers
arith070 Least common multiple of 2 numbers
arith804 Least common multiple of 3 numbers
arith240 Word problem with common multiples
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
Fractions
arith623
arith665
arith212
arith666
arith067
arith687
arith667
arith044
arith091
arith092
arith079
arith086
arith119
arith053
arith812
arith813
arith818
arith095
arith088
arith694
arith022
arith819
arith618
arith802
arith801
arith109
arith664
arith230
arith803
arith805
arith100
arith662
arith015
Introduction to fractions
Understanding equivalent fractions
Equivalent fractions
Introduction to simplifying a fraction
Simplifying a fraction
Fractional position on a number line
Plotting fractions on a number line
Ordering fractions with the same denominator
Ordering fractions with the same numerator
Using a common denominator to order fractions
Product of a unit fraction and a whole number
Product of a fraction and a whole number: Problem type 1
Introduction to fraction multiplication
Fraction multiplication
Product of a fraction and a whole number: Problem type 2
Multiplication of 3 fractions
Word problem involving fractions and multiplication
Multi-step word problem involving fractions and multiplication
The reciprocal of a number
Division involving a whole number and a fraction
Fraction division
Word problem involving fractions and division
Addition or subtraction of fractions with the same denominator
Addition or subtraction of fractions with the same denominator and simplification
Finding the LCD of two fractions
Addition or subtraction of unit fractions
Introduction to addition or subtraction of fractions with different denominators
Addition or subtraction of fractions with different denominators
Addition and subtraction of 3 fractions with different denominators
Word problem involving addition or subtraction of fractions with different denominators
Fractional part of a circle
Writing a mixed number and an improper fraction for a shaded region
Writing an improper fraction as a mixed number
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228
APPENDIX B. SYLLABI IN ALEKS
arith619
arith215
arith084
arith216
arith806
arith808
arith809
arith807
arith810
arith815
arith816
arith817
arith068
arith820
arith821
arith859
arith860
arith861
arith695
Writing a mixed number as an improper fraction
Addition or subtraction of mixed numbers with the same denominator
Addition of mixed numbers with the same denominator and carry
Subtraction of mixed numbers with the same denominator and borrowing
Addition or subtraction of mixed numbers with different denominators and no carry or borrow
Addition of mixed numbers with different denominators and carry
Subtraction of mixed numbers with different denominators and borrowing
Addition and subtraction of 3 mixed numbers with different denominators
Word problem involving addition or subtraction of mixed numbers with different denominators
Mixed number multiplication
Multiplication of a mixed number and a whole number
Division with a mixed number and a whole number
Mixed number division
Word problem involving multiplication or division with mixed numbers
Exponents and fractions
Order of operations with fractions: Problem type 1
Order of operations with fractions: Problem type 2
Order of operations with fractions: Problem type 3
Complex fraction without variables: Problem type 1
Decimals, Proportions, and Percents
arith127
arith110
arith220
arith714
arith715
arith716
arith829
arith830
arith831
arith832
arith129
arith608
arith221
arith717
arith719
arith718
arith087
arith721
arith722
arith724
arith624
arith013
arith734
arith735
arith736
arith737
arith131
arith132
arith133
arith134
arith739
arith017
arith055
arith046
arith082
arith738
arith740
arith752
Writing a decimal and a fraction for a shaded region
Decimal place value: Tenths and hundredths
Decimal place value: Hundreds to ten thousandths
Writing a decimal number less than 1 given its name
Writing a decimal number greater than 1 given its name
Writing a decimal number given its name: Advanced
Reading decimal position on a number line: Tenths
Reading decimal position on a number line: Hundredths
Understanding decimal position on a number line using zoom: Hundredths
Understanding decimal position on a number line using zoom: Thousandths
Introduction to ordering decimals
Ordering decimals
Rounding decimals
Converting a decimal to a proper fraction without simplifying: Basic
Converting a decimal to a proper fraction without simplifying: Advanced
Converting a decimal to a proper fraction in simplest form: Basic
Converting a decimal to a proper fraction in simplest form: Advanced
Converting a decimal to a mixed number and an improper fraction without simplifying
Converting a decimal to a mixed number and an improper fraction in simplest form: Basic
Converting a decimal to a mixed number and an improper fraction in simplest form: Advanced
Subtraction of aligned decimals
Decimal subtraction: Basic
Decimal addition and subtraction with 3 or more numbers
Estimating a decimal sum or difference
Word problem with addition or subtraction of 2 decimals
Word problem with addition of 3 or 4 decimals and whole numbers
Word problem with subtraction of a whole number and a decimal: Regrouping with zeros
Introduction to decimal multiplication
Multiplication of a decimal by a whole number
Decimal multiplication: Problem type 1
Decimal multiplication: Problem type 2
Multiplication of a decimal by a power of ten
Multiplication of a decimal by a power of 0.1
Multiplication of decimals that have a product less than 0.1
Estimating a product of decimals
B.3. PRE-ALGEBRA AND INTRODUCTORY ALGEBRA
arith135 Word problem with multiplication of a decimal and a whole number
arith137 Word problem with multiplication of two decimals
arith224 Word problem with decimal addition and multiplication
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
arith227 Word problem with decimal subtraction and division
alge823 Solving a one-step word problem using the formula d = rt
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
arith609 Ordering fractions and decimals
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
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
arith823 Writing ratios using different notations
arith663 Writing ratios for real-world situations
arith824 Simplifying a ratio of whole numbers: Problem type 1
arith825 Simplifying a ratio of decimals
arith827 Finding a unit price
arith828 Computing unit prices to find the better buy
arith064 Solving a word problem on proportions using a unit rate
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
arith610 Word problem on proportions: Problem type 1
arith611 Word problem on proportions: Problem type 2
alge063 Word problem on mixed number proportions
arith045 Word problem with powers of ten
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
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
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
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APPENDIX B. SYLLABI IN ALEKS
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
mstat049 Computing a percentage from a table of values
arith850 Finding the rate of a tax or commission
arith849 Finding the total amount given the percentage of a partial amount
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
Geometry
geom339 Perimeter of a polygon
geom300 Perimeter of a square or a rectangle
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
geom358 Identifying parallel and perpendicular lines
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
geom305 Identifying supplementary and vertical angles
geom304 Identifying corresponding and alternate angles
geom306 Acute, obtuse, and right triangles
geom307 Classifying scalene, isosceles, and equilateral triangles by side lengths or angles
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
geom361 Naming polygons
mstat042 Interpreting a Venn diagram of 2 sets
geom867 Identifying parallelograms, rectangles, and squares
geom532 Classifying parallelograms
geom019 Area of a square or a rectangle
geom866 Perimeter and area on a grid
geom620 Area of a rectangle involving fractions
geom619 Area of a rectangle involving mixed numbers and fractions
geom350 Distinguishing between the area and perimeter of a rectangle
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
geom142 Word problem involving the area between two rectangles
geom801 Area of a triangle
geom344 Area involving rectangles and triangles
geom022 Area of a parallelogram
geom023 Area of a trapezoid
B.3. PRE-ALGEBRA AND INTRODUCTORY ALGEBRA
geom347 Introduction to a circle: Diameter, radius, and chord
geom016 Circumference of a circle
geom301 Perimeter involving rectangles and circles
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
geom868 Classifying solids
geom348 Vertices, edges, and faces of a solid
geom830 Counting the cubes in a solid made of cubes
geom354 Volume of a rectangular prism made of unit cubes
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
geom622 Volume of a cone
geom841 Volume of a sphere
geom219 Nets of solids
geom816 Side views of a solid made of cubes
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
geom621 Surface area of a cylinder
geom842 Surface area of a sphere
arith016 Square root of a perfect square
arith763 Using a calculator to approximate a square root
arith602 Estimating a square root
arith601 Square root of a rational perfect square
alge407 Introduction to the Pythagorean Theorem
geom044 Pythagorean Theorem
alge408 Word problem involving the Pythagorean Theorem
geom359 Identifying congruent shapes on a grid
geom520 Identifying and naming congruent triangles
geom360 Identifying similar or congruent shapes on a grid
geom037 Similar polygons
geom038 Similar right triangles
geom337 Indirect measurement
Measurement and Data Analysis
mstat059 Choosing U.S. Customary measurement units
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
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
time007 Elapsed time
arith063 Word problem with clocks
231
232
APPENDIX B. SYLLABI IN ALEKS
mstat065 Converting between temperatures in Fahrenheit and Celsius
arith826 Simplifying a ratio of whole numbers: Problem type 2
unit034 Converting between metric and U.S. Customary unit systems
unit035 Converting between compound units: Basic
unit036 Converting between compound units: Advanced
mstat056 Interpreting a tally table
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
mstat007 Interpreting a line graph
mstat031 Interpreting a stem-and-leaf plot
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
geom814 Angle measure in a circle graph
stat020 Calculating relative frequencies in a contingency table
stat805 Making a reasonable inference based on proportion statistics
mstat025 Finding if a question can be answered by the data
mstat003 Mode of a data set
mstat055 Finding the mode and range of a data set
arith103 Average of two numbers
mstat001 Mean of a data set
mstat028 Mean and median of a data set
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
mstat066 Weighted mean
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
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
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
mstat032 Probability of the union of two events
Real Numbers
alge286 Plotting integers on a number line
arith605 Plotting rational numbers on a number line
mstat038 Reading the temperature from a thermometer
B.3. PRE-ALGEBRA AND INTRODUCTORY ALGEBRA
arith699 Writing a signed number for a real-world situation
arith691 Ordering integers
arith712 Ordering real numbers
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
arith754 Addition and subtraction with 3 integers
arith755 Addition and subtraction with 4 or 5 integers
arith701 Word problem with addition or subtraction of integers
arith231 Integer multiplication and division
arith800 Multiplication of 3 or 4 integers
alge001 Identifying numbers as integers or non-integers
alge002 Identifying numbers as rational or irrational
arith116 Signed fraction addition or subtraction: Basic
arith864 Signed fraction subtraction involving double negation
arith811 Addition and subtraction of 3 fractions involving signs
arith822 Signed fraction multiplication: Basic
arith814 Signed fraction division
arith117 Signed decimal addition and subtraction
arith234 Signed decimal addition and subtraction with 3 numbers
arith750 Signed decimal multiplication
arith751 Signed decimal division
arith104 Operations with absolute value: Problem type 2
geom525 Computing distances between decimals on the number line
unit052 Finding the absolute error and percent error of a measurement
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
arith696 Complex fraction without variables: Problem type 2
alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction
alge808 Evaluating a linear expression: Signed fraction multiplication with addition or subtraction
alge302 Evaluating a linear expression: Signed decimal addition and subtraction
alge303 Evaluating a linear expression: Signed decimal multiplication with addition or subtraction
alge004 Evaluating a quadratic expression: Integers
alge700 Combining like terms: Whole number coefficients
alge607 Combining like terms: Integer coefficients
alge310 Multiplying a constant and a linear monomial
alge606 Distributive property: Whole number coefficients
alge604 Distributive property: Integer coefficients
alge188 Properties of real numbers
alge608 Using distribution and combining like terms to simplify: Univariate
alge609 Using distribution with double negation and combining like terms to simplify: Multivariate
alge293 Combining like terms in a quadratic expression
alge432 Introduction to adding fractions with variables and common denominators
alge436 Adding rational expressions with different denominators and a single occurrence of a variable
Linear Equations and Inequalities
alge801
alge800
alge010
alge836
property
property
property
property
of
of
of
of
equality
equality
equality
equality
with
with
with
with
fractions and mixed numbers
decimals
integers
signed fractions
233
234
APPENDIX B. SYLLABI IN ALEKS
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
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
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
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
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
alge840 Solving a proportion of the form (x+a)&divide;b = c&divide;d
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
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
alge016 Translating a sentence into a one-step equation
alge841 Translating a sentence into a multi-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
alge173 Solving a decimal word problem using a linear equation of the form Ax + B = C
alge730 Writing a multi-step equation for a real-world situation
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
alge218 Solving a word problem involving rates and time conversion
alge796 Solving a distance, rate, time problem using a linear equation
arith854 Computing a percent mixture
alge795 Solving a percent mixture problem using a linear equation
geom817 Finding a side length given the perimeter and side lengths with variables
geom143 Finding the perimeter or area of a rectangle given one of these values
geom218 Finding the radius or the diameter of a circle given its circumference
geom838 Circumference ratios
geom530 Solving equations involving vertical angles
B.3. PRE-ALGEBRA AND INTRODUCTORY ALGEBRA
geom531 Solving equations involving angles and a pair of 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
stat803 Finding the value for a new score that will yield a given mean
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
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
set001 Set builder notation
set004 Set builder and interval notation
set002 Union and intersection of finite sets
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: Graph solution, basic
alge747 Solving a compound linear inequality: Interval notation
alge868 Solving an absolute value inequality: Problem type 1
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
Lines and Functions
alge064
alge067
alge850
alge873
alge066
alge191
alge877
alge878
alge879
alge880
alge198
alge884
alge924
alge210
alge197
alge881
alge875
alge886
alge887
alge885
alge888
alge259
Reading a point in the coordinate plane
Plotting a point in the coordinate plane
Table for a linear equation
Identifying solutions to a linear equation in two variables
Finding a solution to a linear equation in two variables
Midpoint of a line segment in the plane
Graphing a linear equation of the form y = mx
Graphing a line given its equation in slope-intercept form: Integer slope
Graphing a line given its equation in slope-intercept form: Fractional slope
Graphing a line given its equation in standard form
Graphing a vertical or horizontal line
Finding x- and y-intercepts given the graph of a line on a grid
Finding x- and y-intercepts of a line given the equation: Basic
Finding x- and y-intercepts of a line given the equation: Advanced
Graphing a line given its x- and y-intercepts
Graphing a line by first finding its x- and y-intercepts
Classifying slopes given graphs of lines
Finding slope given the graph of a line on a grid
Finding slope given two points on the line
Finding the slope of horizontal and vertical lines
Finding the coordinate that yields a given slope
Graphing a line given its slope and y-intercept
235
236
APPENDIX B. SYLLABI IN ALEKS
alge196 Graphing a line through a given point with a given slope
alge874 Identifying linear functions given ordered pairs
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
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
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
alge992 Combining functions to write a new function that models a real-world situation
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
mstat052 Identifying independent and dependent variables from equations or real-world situations
alge991 Solving a linear equation by graphing
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
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
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
fun033 Variable expressions as inputs of functions: Problem type 1
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
fun024 Domain and range from the graph of a continuous function
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
B.3. PRE-ALGEBRA AND INTRODUCTORY ALGEBRA
alge954 Graphing a parabola of the form y = ax2
alge955 Graphing a parabola of the form y = ax2 + c
alge572 Graphing a function of the form f(x) = ax2
alge573 Graphing a function of the form f(x) = ax2 + c
pcalc750 Finding intercepts of a nonlinear function given its graph
pcalc751 Finding where a function is increasing, decreasing, or constant given the graph: Interval notation
pcalc752 Finding local maxima and minima of a function given the graph
mstat018 Choosing a graph to fit a narrative: Basic
mstat051 Choosing a graph to fit a narrative: Advanced
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 2x2 system of linear equations that is inconsistent or consistent dependent
alge988 Identifying the operations used to create equivalent systems of equations
alge753 Solving a 3x3 system of linear equations: Problem type 1
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
alge192 Solving a percent mixture problem using a system of linear equations
alge224 Solving a distance, rate, time 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: Problem type 1
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
alge922 Graphing a system of three linear inequalities
alge729 Writing a multi-step inequality for a real-world situation
pcalc093 Solving a word problem using a system of linear inequalities: Problem type 1
Exponents and Polynomials
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
arith029 Ordering numbers with positive exponents
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
alge756 Power and product rules with positive exponents
alge451 Simplifying a ratio of multivariate monomials: Basic
alge827 Introduction to the quotient rule of exponents
alge452 Simplifying a ratio of univariate monomials
237
238
APPENDIX B. SYLLABI IN ALEKS
alge026 Quotient of expressions involving exponents
alge453 Simplifying a ratio of multivariate monomials: Advanced
alge927 Power and quotient rules with positive exponents
alge790 Evaluating expressions with exponents of zero
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
alge961 Introduction to the product rule with negative exponents
alge028 Product rule with negative exponents
alge755 Quotient rule with negative exponents: Problem type 1
alge926 Quotient rule with negative exponents: Problem type 2
alge025 Power of a power rule with negative exponents
alge799 Power rules with negative 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
arith036 Scientific notation with positive exponent
arith037 Scientific notation with negative exponent
scinot012 Converting between scientific notation and standard form in a real-world situation
scinot008 Multiplying numbers written in scientific notation: Basic
scinot009 Multiplying numbers written in scientific notation: Advanced
scinot010 Dividing numbers written in scientific notation: Basic
scinot011 Dividing numbers written in scientific notation: Advanced
alge971 Table for an exponential function
alge830 Evaluating an exponential function that models a real-world situation
arith853 Introduction to compound interest
alge177 Finding a final amount in a word problem on exponential growth or decay
alge741 Finding the final amount in a word problem on compound interest
alge966 Finding the initial amount and rate of change given an exponential function
alge968 Writing an equation that models exponential growth or decay
alge301 Solving an exponential equation by finding common bases: Linear exponents
alge969 Graphing an exponential function: f(x) = ax
alge970 Graphing an exponential function: f(x) = a(b)x
alge967 Writing an exponential function rule given a table of ordered pairs
alge993 Comparing linear, polynomial, and exponential functions
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
B.3. PRE-ALGEBRA AND INTRODUCTORY ALGEBRA
alge605
alge736
alge930
alge037
alge738
alge739
alge949
alge923
alge950
alge951
alge952
alge039
alge942
alge936
alge939
alge940
alge941
alge978
alge265
alge937
alge944
alge945
alge946
alge290
alge947
alge839
alge948
alge833
alge041
alge042
alge044
alge681
alge956
alge045
alge048
alge211
alge703
alge713
Factoring a linear binomial
Introduction to the GCF of two monomials
Greatest common factor of three univariate monomials
Greatest common factor of two multivariate monomials
Factoring out a monomial from a polynomial: Univariate
Factoring out a monomial from a polynomial: Multivariate
Factoring out a binomial from a polynomial: GCF factoring, basic
Factoring a univariate polynomial by grouping: Problem type 1
Factoring a univariate polynomial by grouping: Problem type 2
Factoring a multivariate polynomial by grouping: Problem type 1
Factoring a multivariate polynomial by grouping: Problem type 2
Factoring out a constant before factoring a quadratic
Factoring a quadratic with leading coefficient greater than 1: Problem type 1
Factoring a quadratic with leading coefficient greater than 1: Problem type 2
Factoring a quadratic with leading coefficient greater than 1: Problem type 3
Factoring a quadratic by the ac-method
Factoring a quadratic in two variables with leading coefficient greater than 1
Factoring a perfect square trinomial with leading coefficient 1
Factoring a perfect square trinomial with leading coefficient greater than 1
Factoring a perfect square trinomial in two variables
Factoring a difference of squares in one variable: Basic
Factoring a difference of squares in one variable: Advanced
Factoring a difference of squares in two variables
Factoring a polynomial involving a GCF and a difference of squares: Univariate
Factoring a polynomial involving a GCF and a difference of squares: Multivariate
Factoring a product of a quadratic trinomial and a monomial
Factoring with repeated use of the difference of squares formula
Factoring a sum or difference of two cubes
Solving an equation written in factored form
Finding the roots of a quadratic equation of the form ax2 + bx = 0
Finding the roots of a quadratic equation with leading coefficient greater than 1
Solving a quadratic equation needing simplification
Solving a word problem using a quadratic equation with rational roots
Using the Pythagorean Theorem and a quadratic equation to find side lengths of a right triangle
Rational Expressions
alge049
alge467
alge468
alge469
alge715
alge454
alge455
alge456
alge457
alge458
alge710
alge682
alge459
alge034
alge053
alge460
alge620
alge461
alge462
Restriction on a variable in a denominator: Linear
Restriction on a variable in a denominator: Quadratic
Evaluating a rational function: Problem type 1
Evaluating a rational function: Problem type 2
Domain of a rational function: Excluded values
Simplifying a ratio of factored polynomials: Linear factors
Simplifying a ratio of factored polynomials: Factors with exponents
Simplifying a ratio of polynomials using GCF factoring
Simplifying a ratio of linear polynomials: 1, -1, and no simplification
Simplifying a ratio of polynomials by factoring a quadratic with leading coefficient 1
Simplifying a ratio of polynomials: Problem type 1
Simplifying a ratio of polynomials: Problem type 2
Simplifying a ratio of polynomials: Problem type 3
Simplifying a ratio of multivariate polynomials
Multiplying rational expressions involving multivariate monomials
Multiplying rational expressions made up of linear expressions
Multiplying rational expressions involving multivariate quadratics
239
240
APPENDIX B. SYLLABI IN ALEKS
alge054 Dividing rational expressions involving multivariate monomials
alge463 Dividing rational expressions involving linear expressions
alge464 Dividing rational expressions involving quadratics with leading coefficients greater than 1
alge465 Dividing rational expressions involving multivariate quadratics
alge466 Multiplication and division of 3 rational expressions
alge737 Introduction to the LCM of two monomials
alge055 Least common multiple of two monomials
alge427 Finding the LCD of rational expressions with linear denominators: Relatively prime
alge428 Finding the LCD of rational expressions with linear denominators: Common factors
alge429 Finding the LCD of rational expressions with quadratic denominators
alge430 Writing equivalent rational expressions with monomial denominators
alge431 Writing equivalent rational expressions with polynomial denominators
alge304 Writing equivalent rational expressions involving opposite factors
alge433 Adding rational expressions with common denominators and monomial numerators
alge056 Adding rational expressions with common denominators and binomial numerators
alge434 Adding rational expressions with common denominators and GCF factoring
alge437 Adding rational expressions with denominators ax and bx: Basic
alge439 Adding rational expressions with denominators axn and bxm
alge440 Adding rational expressions with multivariate monomial denominators: Basic
alge441 Adding rational expressions with linear denominators without common factors: Basic
alge443 Adding rational expressions with linear denominators with common factors: Basic
alge445 Adding rational expressions with denominators ax-b and b-ax
alge470 Complex fraction involving univariate monomials
alge058 Complex fraction involving multivariate monomials
alge471 Complex fraction: GCF factoring
alge473 Complex fraction made of sums involving rational expressions: Problem type 1
alge474 Complex fraction made of sums involving rational expressions: Problem type 2
alge475 Complex fraction made of sums involving rational expressions: Problem type 3
alge476 Complex fraction made of sums involving rational expressions: Problem type 4
alge477 Complex fraction made of sums involving rational expressions: Problem type 5
alge478 Complex fraction made of sums involving rational expressions: Problem type 6
alge479 Complex fraction made of sums involving rational expressions: Multivariate
alge480 Complex fraction with negative exponents: Problem type 1
alge481 Complex fraction with negative exponents: Problem type 2
alge162 Complex fraction that contains a complex fraction
alge271 Solving a proportion of the form a/(x+b) = c/x
alge060 Solving a rational equation that simplifies to linear: Denominator x
alge205 Solving a rational equation that simplifies to linear: Denominator x+a
alge769 Solving a rational equation that simplifies to linear: Denominators a, x, or ax
alge421 Solving a rational equation that simplifies to linear: Denominators ax and bx
alge422 Solving a rational equation that simplifies to linear: Like binomial denominators
alge206 Solving a rational equation that simplifies to linear: Unlike binomial denominators
alge423 Solving a rational equation that simplifies to linear: Factorable quadratic denominator
alge424 Solving a rational equation that simplifies to quadratic: Proportional form, basic
alge425 Solving a rational equation that simplifies to quadratic: Denominator x
alge212 Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators
alge062 Solving a rational equation that simplifies to quadratic: Binomial denominators and numerators
alge426 Solving a rational equation that simplifies to quadratic: Factorable quadratic denominator
alge047 Solving a rational equation that simplifies to quadratic: Proportional form, advanced
alge508 Solving for a variable in terms of other variables in a rational equation: Problem type 1
alge509 Solving for a variable in terms of other variables in a rational equation: Problem type 2
alge510 Solving for a variable in terms of other variables in a rational equation: Problem type 3
arith612 Word problem involving multiple rates
B.3. PRE-ALGEBRA AND INTRODUCTORY ALGEBRA
alge770 Solving a work problem using a rational equation
alge450 Solving a distance, rate, time problem using a rational equation
alge059 Ordering fractions with variables
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
pcalc681 Writing an equation that models variation
alge772 Word problem on combined variation
alge413 Finding all square roots of a number
arith760 Square roots of perfect squares with signs
alge415 Introduction to simplifying a radical expression with an even exponent
alge264 Square root of a perfect square monomial
arith094 Cube root of an integer
alge549 Finding nth roots of perfect nth powers with signs
arith768 Finding the nth root of a perfect nth power fraction
alge550 Finding the nth root of a perfect nth power 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
alge520 Introduction to simplifying a radical expression with an odd exponent
alge521 Simplifying a radical expression with an odd exponent
alge275 Simplifying a radical expression with two variables
alge273 Simplifying a higher root of a whole number
alge551 Introduction to simplifying a higher radical expression
alge552 Simplifying a higher radical expression: Univariate
alge811 Simplifying a higher radical expression: Multivariate
arith767 Introduction to square root addition or subtraction
arith032 Square root addition or subtraction
alge533 Square root addition or subtraction with three terms
alge531 Introduction to simplifying a sum or difference of radical expressions: Univariate
alge532 Simplifying a sum or difference of radical expressions: Univariate
alge084 Simplifying a sum or difference of radical expressions: Multivariate
alge554 Simplifying a sum or difference of higher roots
alge555 Simplifying a sum or difference of higher radical expressions
arith764 Introduction to square root multiplication
arith765 Square root multiplication: Basic
alge522 Introduction to simplifying a product of radical expressions: Univariate
alge523 Simplifying a product of radical expressions: Univariate
alge640 Simplifying a product of radical expressions: Multivariate
alge556 Introduction to simplifying a product of higher roots
alge557 Simplifying a product of higher radical expressions
alge525 Introduction to simplifying a product involving square roots using the distributive property
alge526 Simplifying a product involving square roots using the distributive property: Basic
alge276 Simplifying a product involving square roots using the distributive property: Advanced
alge774 Special products of radical expressions: Conjugates and squaring
alge984 Classifying sums and products as rational or irrational
arith766 Simplifying a quotient of square roots
alge530 Simplifying a quotient involving a sum or difference with a square root
alge527 Rationalizing a denominator: Quotient involving square roots
241
242
APPENDIX B. SYLLABI IN ALEKS
alge528 Rationalizing a denominator: Square root of a fraction
alge529 Rationalizing a denominator: Quotient involving a monomial
alge534 Rationalizing a denominator using conjugates: Integer numerator
alge535 Rationalizing a denominator using conjugates: Square root in numerator
alge536 Rationalizing a denominator using conjugates: Variable in denominator
alge564 Rationalizing a denominator: Quotient involving a higher radical
alge400 Introduction to solving a radical equation
alge089 Solving a radical equation that simplifies to a linear equation: One radical, basic
alge090 Solving a radical equation that simplifies to a linear equation: Two radicals
alge405 Solving a radical equation with two radicals that simplifies to sqrt(x) = a
alge410 Solving an equation with a root index greater than 2: Problem type 1
alge417 Solving an equation with a root index greater than 2: Problem type 2
alge412 Algebraic symbol manipulation with radicals
alge542 Word problem involving radical equations: Basic
alge132 Distance between two points in the plane: Exact answers
alge539 Table for a square root function
alge540 Domain of a square root function: Basic
pcalc763 Domain of a square root function: Advanced
alge543 Graphing a square root function: Problem type 1
alge544 Graphing a square root function: Problem type 2
alge812 Converting between radical form and exponent form
alge560 Rational exponents: Unit fraction exponents and whole number bases
alge561 Rational exponents: Unit fraction exponents and bases involving signs
alge250 Rational exponents: Non-unit fraction exponent with a whole number base
alge251 Rational exponents: Negative exponents and fractional bases
alge558 Rational exponents: Product rule
alge559 Rational exponents: Quotient rule
alge773 Rational exponents: Products and quotients with negative exponents
alge562 Rational exponents: Power of a power rule
alge249 Rational exponents: Powers of powers with negative exponents
alge563 Simplifying products or quotients of higher radicals with different indices: Univariate
alge778 Using i to rewrite square roots of negative numbers
alge779 Simplifying a product and quotient involving square roots of negative numbers
pcalc048 Adding or subtracting complex numbers
pcalc049 Multiplying complex numbers
pcalc050 Dividing complex numbers
pcalc053 Simplifying a power of i
alge962 Solving an equation of the form x2 = a using the square root property
alge092 Solving a quadratic equation using the square root property: Exact answers, basic
alge094 Completing the square
pcalc051 Solving a quadratic equation with complex roots
alge214 Discriminant of a quadratic equation
alge524 Solving a word problem using a quadratic equation with irrational roots
alge974 Finding the vertex, x-intercepts, and axis of symmetry from the graph of a parabola
alge953 Translating the graph of a parabola: One step
alge253 Graphing a parabola of the form y = (x-h)2 + k
alge569 Graphing a parabola of the form y = x2 + bx + c
pcalc746 Graphing a parabola of the form y = ax2 + bx + c: Integer coefficients
pcalc747 Graphing a parabola of the form y = ax2 + bx + c: Rational coefficients
alge277 Finding the x-intercept(s) and the vertex of a parabola
pcalc774 Rewriting a quadratic function to find the vertex of its graph
pcalc775 Finding the maximum or minimum of a quadratic function
B.4. MATH LITERACY
alge785 Word problem involving the maximum or minimum of a quadratic function
alge975 Domain and range from the graph of a parabola
pcalc762 Range of a quadratic function
alge957 Solving a quadratic equation by graphing
alge996 Comparing properties of quadratic functions given in different forms
alge702 Classifying the graph of a function
alge723 How the leading coefficient affects the shape of a parabola
alge965 Identifying linear, quadratic, and exponential functions given ordered pairs
alge262 Graphing a cubic function of the form y = ax3
fun019 Sum, difference, and product of two functions
fun022 Composition of two functions: Basic
pcalc776 Expressing a function as a composition of two functions
pcalc924 Determining whether an equation defines a function: Basic
pcalc757 Determining whether an equation defines a function: Advanced
B.4
Math Literacy
arith711 Division involving zero
arith130 Word problem with multiplication and addition or subtraction of whole 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
arith604 Estimating a product or quotient of whole numbers
arith655 Introduction to properties of addition
arith656 Introduction to properties of multiplication
arith692 Writing expressions using exponents
arith233 Introduction to exponents
arith683 Power of 10: Positive exponent
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
arith693 Order of operations with whole numbers and exponents: Basic
arith713 Order of operations with whole numbers and exponents: Advanced
arith657 Understanding the distributive property
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
arith804 Least common multiple of 3 numbers
arith240 Word problem with common multiples
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
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
alge832 Evaluating an algebraic expression: Whole number operations and exponents
alge009 Additive property of equality with whole numbers
243
244
APPENDIX B. SYLLABI IN ALEKS
alge008 Multiplicative property of equality with whole numbers
alge803 Using two steps to solve an equation with whole numbers
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
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
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
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
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
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
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
B.4. MATH LITERACY
arith831
arith832
arith129
arith608
arith221
arith624
arith013
arith734
arith735
arith736
arith737
arith131
arith132
arith133
arith134
arith739
arith017
arith055
arith046
arith082
arith738
arith740
arith752
arith135
arith137
arith224
arith744
arith081
arith743
arith019
arith083
arith742
arith745
arith136
arith138
arith227
arith753
arith741
arith720
arith746
arith747
arith717
arith719
arith718
arith087
arith721
arith722
arith724
arith725
arith726
arith727
arith728
arith730
arith731
arith733
arith111
arith112
arith732
arith609
arith748
arith749
Understanding decimal position on a number line using zoom: Hundredths
Understanding decimal position on a number line using zoom: Thousandths
Introduction to ordering decimals
Ordering decimals
Rounding decimals
Subtraction of aligned decimals
Decimal subtraction: Basic
Decimal addition and subtraction with 3 or more numbers
Estimating a decimal sum or difference
Word problem with addition or subtraction of 2 decimals
Word problem with addition of 3 or 4 decimals and whole numbers
Word problem with subtraction of a whole number and a decimal: Regrouping with zeros
Introduction to decimal multiplication
Multiplication of a decimal by a whole number
Decimal multiplication: Problem type 1
Decimal multiplication: Problem type 2
Multiplication of a decimal by a power of ten
Multiplication of a decimal by a power of 0.1
Multiplication of decimals that have a product less than 0.1
Estimating a product of decimals
Word problem with multiplication of a decimal and a whole number
Word problem with multiplication of two decimals
Word problem with decimal addition and multiplication
Whole number division with decimal answers
Division of a decimal by a whole number
Division of a decimal by a 1-digit decimal
Division of a decimal by a 2-digit decimal
Division of a decimal by a power of ten
Division of a decimal by a power of 0.1
Decimal division with rounding
Word problem with division of a decimal and a whole number
Word problem with division of two decimals
Word problem with decimal subtraction and division
Squaring decimal bases: Products greater than 0.1
Exponents and decimals: Products less than 0.1
Order of operations with decimals: Problem type 1
Order of operations with decimals: Problem type 2
Order of operations with decimals: Problem type 3
Converting a decimal to a proper fraction without simplifying: Basic
Converting a decimal to a proper fraction without simplifying: Advanced
Converting a decimal to a proper fraction in simplest form: Basic
Converting a decimal to a proper fraction in simplest form: Advanced
Converting a decimal to a mixed number and an improper fraction without simplifying
Converting a decimal to a mixed number and an improper fraction in simplest form: Basic
Converting a decimal to a mixed number and an improper fraction in simplest form: Advanced
Converting a fraction with a denominator of 10 or 100 to a decimal
Converting a fraction with a denominator of 100 or 1000 to a decimal
Converting a fraction to a terminating decimal: Basic
Converting a fraction to a terminating decimal: Advanced
Converting a fraction to a repeating decimal: Basic
Converting a fraction to a repeating decimal: Advanced
Using a calculator to convert a fraction to a rounded decimal
Converting a mixed number to a terminating decimal: Basic
Converting a mixed number to a terminating decimal: Advanced
Converting a fraction or mixed number to a rounded decimal
Ordering fractions and decimals
Addition or subtraction with a decimal and a mixed number
Multiplication with a decimal and a fraction
245
246
APPENDIX B. SYLLABI IN ALEKS
Geometry
geom339 Perimeter of a polygon
geom300 Perimeter of a square or a rectangle
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
geom358 Identifying parallel and perpendicular lines
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
geom305 Identifying supplementary and vertical angles
geom304 Identifying corresponding and alternate angles
geom306 Acute, obtuse, and right triangles
geom307 Classifying scalene, isosceles, and equilateral triangles by side lengths or angles
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
geom361 Naming polygons
mstat042 Interpreting a Venn diagram of 2 sets
geom867 Identifying parallelograms, rectangles, and squares
geom532 Classifying parallelograms
geom019 Area of a square or a rectangle
geom866 Perimeter and area on a grid
geom620 Area of a rectangle involving fractions
geom619 Area of a rectangle involving mixed numbers and fractions
geom350 Distinguishing between the area and perimeter of a rectangle
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
geom142 Word problem involving the area between two rectangles
geom801 Area of a triangle
geom344 Area involving rectangles and triangles
geom022 Area of a parallelogram
geom023 Area of a trapezoid
geom347 Introduction to a circle: Diameter, radius, and chord
geom016 Circumference of a circle
geom301 Perimeter involving rectangles and circles
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
geom868 Classifying solids
geom348 Vertices, edges, and faces of a solid
geom830 Counting the cubes in a solid made of cubes
geom354 Volume of a rectangular prism made of unit cubes
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
geom622 Volume of a cone
geom841 Volume of a sphere
geom219 Nets of solids
geom816 Side views of a solid made of cubes
geom031 Surface area of a cube or a rectangular prism
geom345 Surface area of a piecewise rectangular prism made of unit cubes
B.4. MATH LITERACY
geom091 Surface area of a triangular prism
geom621 Surface area of a cylinder
geom842 Surface area of a sphere
arith016 Square root of a perfect square
arith763 Using a calculator to approximate a square root
arith602 Estimating a square root
arith601 Square root of a rational perfect square
alge407 Introduction to the Pythagorean Theorem
geom044 Pythagorean Theorem
alge408 Word problem involving the Pythagorean Theorem
Ratios, Proportions, and Percents
arith823 Writing ratios using different notations
arith663 Writing ratios for real-world situations
arith824 Simplifying a ratio of whole numbers: Problem type 1
arith825 Simplifying a ratio of decimals
arith827 Finding a unit price
arith828 Computing unit prices to find the better buy
arith064 Solving a word problem on proportions using a unit rate
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
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
geom520 Identifying and naming congruent triangles
geom360 Identifying similar or congruent shapes on a grid
geom037 Similar polygons
geom038 Similar right triangles
geom337 Indirect measurement
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
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
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
mstat049 Computing a percentage from a table of values
arith850 Finding the rate of a tax or commission
arith849 Finding the total amount given the percentage of a partial amount
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
247
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APPENDIX B. SYLLABI IN ALEKS
arith847
arith074
arith848
arith855
arith031
arith858
arith225
arith232
Finding
Finding
Finding
Finding
Finding
Finding
Finding
Finding
the sale price given the original price and percent discount
the sale price without a calculator given the original price and percent discount
the total cost including tax or markup
the original amount given the result of a percentage increase or decrease
the original price given the sale price and percent discount
the percentage increase or decrease: Basic
the percentage increase or decrease: Advanced
simple interest without a calculator
Measurement
mstat059 Choosing U.S. Customary measurement units
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
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
time007 Elapsed time
mstat065 Converting between temperatures in Fahrenheit and Celsius
arith826 Simplifying a ratio of whole numbers: Problem type 2
unit034 Converting between metric and U.S. Customary unit systems
unit035 Converting between compound units: Basic
unit036 Converting between compound units: Advanced
Data Analysis
mstat056 Interpreting a tally table
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
mstat007 Interpreting a line graph
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
geom814 Angle measure in a circle graph
stat020 Calculating relative frequencies in a contingency table
stat805 Making a reasonable inference based on proportion statistics
mstat025 Finding if a question can be answered by the data
mstat003 Mode of a data set
mstat055 Finding the mode and range of a data set
arith103 Average of two numbers
mstat001 Mean of a data set
mstat028 Mean and median of a data set
mstat029 How changing a value affects the mean and median
B.4. MATH LITERACY
mstat053 Choosing the best measure to describe data
stat802 Rejecting unreasonable claims based on average statistics
mstat066 Weighted mean
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
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
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
mstat032 Probability of the union of two events
Real Numbers
alge286 Plotting integers on a number line
arith605 Plotting rational numbers on a number line
mstat038 Reading the temperature from a thermometer
arith699 Writing a signed number for a real-world situation
arith691 Ordering integers
arith071 Absolute value of a number
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
arith754 Addition and subtraction with 3 integers
arith755 Addition and subtraction with 4 or 5 integers
arith701 Word problem with addition or subtraction of integers
arith231 Integer multiplication and division
arith800 Multiplication of 3 or 4 integers
alge001 Identifying numbers as integers or non-integers
alge002 Identifying numbers as rational or irrational
arith116 Signed fraction addition or subtraction: Basic
arith864 Signed fraction subtraction involving double negation
arith811 Addition and subtraction of 3 fractions involving signs
arith822 Signed fraction multiplication: Basic
arith814 Signed fraction division
arith117 Signed decimal addition and subtraction
arith234 Signed decimal addition and subtraction with 3 numbers
arith750 Signed decimal multiplication
arith751 Signed decimal division
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APPENDIX B. SYLLABI IN ALEKS
arith104 Operations with absolute value: Problem type 2
geom525 Computing distances between decimals on the number line
unit052 Finding the absolute error and percent error of a measurement
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
alge808 Evaluating a linear expression: Signed fraction multiplication with addition or subtraction
alge302 Evaluating a linear expression: Signed decimal addition and subtraction
alge303 Evaluating a linear expression: Signed decimal multiplication with addition or subtraction
alge004 Evaluating a quadratic expression: Integers
alge700 Combining like terms: Whole number coefficients
alge607 Combining like terms: Integer coefficients
alge310 Multiplying a constant and a linear monomial
alge606 Distributive property: Whole number coefficients
alge604 Distributive property: Integer coefficients
alge188 Properties of real numbers
alge608 Using distribution and combining like terms to simplify: Univariate
alge609 Using distribution with double negation and combining like terms to simplify: Multivariate
alge293 Combining like terms in a quadratic expression
arith767 Introduction to square root addition or subtraction
Linear Equations and Inequalities
alge801 Additive property of equality with fractions and mixed numbers
alge800 Additive property of equality with decimals
alge010 Additive property of equality with integers
alge836 Additive property of equality with signed fractions
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
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
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
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
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
B.4. MATH LITERACY
alge840 Solving a proportion of the form (x+a)&divide;b = c&divide;d
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
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
alge016 Translating a sentence into a one-step equation
alge841 Translating a sentence into a multi-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
alge173 Solving a decimal word problem using a linear equation of the form Ax + B = C
alge730 Writing a multi-step equation for a real-world situation
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
alge218 Solving a word problem involving rates and time conversion
alge796 Solving a distance, rate, time problem using a linear equation
arith854 Computing a percent mixture
alge795 Solving a percent mixture problem using a linear equation
geom817 Finding a side length given the perimeter and side lengths with variables
geom143 Finding the perimeter or area of a rectangle given one of these values
geom218 Finding the radius or the diameter of a circle given its circumference
geom838 Circumference ratios
geom092 Word problem involving the rate of filling or emptying a cylinder
geom530 Solving equations involving vertical angles
geom531 Solving equations involving angles and a pair of 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
stat803 Finding the value for a new score that will yield a given mean
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
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
set001 Set builder notation
set004 Set builder and interval notation
set002 Union and intersection of finite sets
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
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alge859
alge860
alge746
alge747
alge749
alge750
alge868
Solving
Solving
Solving
Solving
Solving
Solving
Solving
a linear inequality with multiple occurrences of the variable: Problem type 3
inequalities with no solution or all real numbers as solutions
a compound linear inequality: Graph solution, basic
a compound linear inequality: Interval notation
a decimal word problem using a two-step linear inequality
a decimal word problem using a linear inequality with the variable on both sides
an absolute value inequality: Problem type 1
Lines
alge064 Reading a point in the coordinate plane
alge067 Plotting a point in the coordinate plane
alge850 Table for a linear equation
alge873 Identifying solutions to a linear equation in two variables
alge066 Finding a solution to a linear equation in two variables
alge191 Midpoint of a line segment in the plane
alge132 Distance between two points in the plane: Exact answers
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
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
alge259 Graphing a line given its slope and y-intercept
alge196 Graphing a line through a given point with a given slope
alge874 Identifying linear functions given ordered pairs
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
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
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
alge992 Combining functions to write a new function that models a real-world situation
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
B.4. MATH LITERACY
alge806 Application problem with a linear function: Finding a coordinate given two points
mstat052 Identifying independent and dependent variables from equations or real-world situations
alge991 Solving a linear equation by graphing
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
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
mstat069 Computing residuals
mstat070 Interpreting residual plots
mstat071 Linear relationship and the correlation coefficient
mstat074 Identifying correlation and causation
alge060 Solving a rational equation that simplifies to linear: Denominator x
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
pcalc681 Writing an equation that models variation
alge772 Word problem on combined variation
stat021 Population standard deviation
stat852 Word problem involving calculations from a normal distribution
Functions
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
fun033 Variable expressions as inputs of functions: Problem type 1
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
fun024 Domain and range from the graph of a continuous function
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
alge572 Graphing a function of the form f(x) = ax2
alge573 Graphing a function of the form f(x) = ax2 + c
pcalc750 Finding intercepts of a nonlinear function given its graph
alge999 Finding where a function is increasing, decreasing, or constant given the graph
pcalc751 Finding where a function is increasing, decreasing, or constant given the graph: Interval notation
pcalc752 Finding local maxima and minima of a function given the graph
mstat018 Choosing a graph to fit a narrative: Basic
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APPENDIX B. SYLLABI IN ALEKS
mstat051 Choosing a graph to fit a narrative: Advanced
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 2x2 system of linear equations that is inconsistent or consistent dependent
alge988 Identifying the operations used to create equivalent systems of equations
alge753 Solving a 3x3 system of linear equations: Problem type 1
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
alge192 Solving a percent mixture problem using a system of linear equations
alge224 Solving a distance, rate, time 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: Problem type 1
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
alge922 Graphing a system of three linear inequalities
alge729 Writing a multi-step inequality for a real-world situation
pcalc093 Solving a word problem using a system of linear inequalities: Problem type 1
Exponents and Polynomials
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
arith029 Ordering numbers with positive exponents
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
alge756 Power and product rules with positive exponents
alge451 Simplifying a ratio of multivariate monomials: Basic
alge827 Introduction to the quotient rule of exponents
alge452 Simplifying a ratio of univariate monomials
alge026 Quotient of expressions involving exponents
alge453 Simplifying a ratio of multivariate monomials: Advanced
alge927 Power and quotient rules with positive exponents
alge790 Evaluating expressions with exponents of zero
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
B.4. MATH LITERACY
arith024 Ordering numbers with negative exponents
alge791 Rewriting an algebraic expression without a negative exponent
alge961 Introduction to the product rule with negative exponents
alge028 Product rule with negative exponents
alge755 Quotient rule with negative exponents: Problem type 1
alge926 Quotient rule with negative exponents: Problem type 2
alge025 Power of a power rule with negative exponents
alge799 Power rules with negative 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
arith036 Scientific notation with positive exponent
arith037 Scientific notation with negative exponent
scinot012 Converting between scientific notation and standard form in a real-world situation
scinot008 Multiplying numbers written in scientific notation: Basic
scinot009 Multiplying numbers written in scientific notation: Advanced
scinot010 Dividing numbers written in scientific notation: Basic
scinot011 Dividing numbers written in scientific notation: Advanced
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
alge605 Factoring a linear binomial
alge736 Introduction to the GCF of two monomials
alge930 Greatest common factor of three univariate monomials
alge037 Greatest common factor of two multivariate 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: GCF factoring, 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
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
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APPENDIX B. SYLLABI IN ALEKS
alge944
alge945
alge946
alge290
alge947
alge839
alge948
alge833
alge041
alge042
alge044
Factoring
Factoring
Factoring
Factoring
Factoring
Factoring
Factoring
Factoring
Factoring
Factoring
Factoring
a perfect square trinomial with leading coefficient 1
a perfect square trinomial with leading coefficient greater than 1
a perfect square trinomial in two variables
a difference of squares in one variable: Basic
a difference of squares in one variable: Advanced
a difference of squares in two variables
a polynomial involving a GCF and a difference of squares: Univariate
a polynomial involving a GCF and a difference of squares: Multivariate
a product of a quadratic trinomial and a monomial
with repeated use of the difference of squares formula
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
alge713 Using the Pythagorean Theorem and a quadratic equation to find side lengths of a right triangle
arith760 Square roots of perfect squares with signs
arith093 Simplifying the square root of a whole number less than 100
alge962 Solving an equation of the form x2 = a using the square root property
alge092 Solving a quadratic equation using the square root property: Exact answers, basic
alge094 Completing the square
alge214 Discriminant of a quadratic equation
alge524 Solving a word problem using a quadratic equation with irrational roots
alge974 Finding the vertex, x-intercepts, and axis of symmetry from the graph of a parabola
alge954 Graphing a parabola of the form y = ax2
alge955 Graphing a parabola of the form y = ax2 + c
alge953 Translating the graph of a parabola: One step
alge253 Graphing a parabola of the form y = (x-h)2 + k
alge569 Graphing a parabola of the form y = x2 + bx + c
pcalc746 Graphing a parabola of the form y = ax2 + bx + c: Integer coefficients
pcalc747 Graphing a parabola of the form y = ax2 + bx + c: Rational coefficients
alge277 Finding the x-intercept(s) and the vertex of a parabola
pcalc774 Rewriting a quadratic function to find the vertex of its graph
pcalc775 Finding the maximum or minimum of a quadratic function
alge785 Word problem involving the maximum or minimum of a quadratic function
alge975 Domain and range from the graph of a parabola
pcalc762 Range of a quadratic function
alge957 Solving a quadratic equation by graphing
alge996 Comparing properties of quadratic functions given in different forms
alge702 Classifying the graph of a function
alge723 How the leading coefficient affects the shape of a parabola
alge971 Table for an exponential function
alge830 Evaluating an exponential function that models a real-world situation
arith853 Introduction to compound interest
alge177 Finding a final amount in a word problem on exponential growth or decay
alge741 Finding the final amount in a word problem on compound interest
alge966 Finding the initial amount and rate of change given an exponential function
alge968 Writing an equation that models exponential growth or decay
alge301 Solving an exponential equation by finding common bases: Linear exponents
alge969 Graphing an exponential function: f(x) = ax
alge970 Graphing an exponential function: f(x) = a(b)x
B.5. LIBERAL ARTS MATH
alge967 Writing an exponential function rule given a table of ordered pairs
alge993 Comparing linear, polynomial, and exponential functions
alge965 Identifying linear, quadratic, and exponential functions given ordered pairs
B.5
Liberal Arts Math
Problem Solving, Sets, and Logic
arith124 Whole number place value: Problem type 1
arith125 Whole number place value: Problem type 2
arith066 Expanded form
arith643 Expanded form with zeros
arith078 Rounding to tens or hundreds
arith123 Rounding to hundreds or thousands
arith061 Rounding to thousands, ten thousands, or hundred thousands
arith110 Decimal place value: Tenths and hundredths
arith220 Decimal place value: Hundreds to ten thousandths
arith221 Rounding decimals
arith101 Estimating a sum of whole numbers
arith102 Estimating a difference of whole numbers
arith604 Estimating a product or quotient of whole numbers
arith131 Estimating a decimal sum or difference
arith752 Estimating a product of decimals
arith130 Word problem with multiplication and addition or subtraction of whole numbers
alge732 Finding patterns in shapes
alge925 Finding the next terms of an arithmetic sequence with whole numbers
arith013 Decimal addition with 3 numbers
arith132 Word problem with addition or subtraction of 2 decimals
arith017 Multiplication of a decimal by a whole number
arith055 Decimal multiplication: Problem type 1
arith082 Multiplication of a decimal by a power of ten
arith135 Word problem with multiplication of a decimal and a whole number
arith137 Word problem with multiplication of two decimals
arith224 Word problem with decimal addition and multiplication
arith081 Division of a decimal by a whole number
arith019 Division of a decimal by a 2-digit decimal
arith083 Division of a decimal by a power of ten
arith136 Word problem with division of a decimal and a whole number
arith227 Word problem with decimal subtraction and division
arith827 Finding a unit price
arith828 Computing unit prices to find the better buy
arith064 Solving a word problem on proportions using a unit rate
arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers
mstat007 Interpreting a line graph
mstat024 Interpreting a bar graph
mstat044 Interpreting a double bar graph
alge263 Interpreting the graphs of two functions
set001 Set builder notation
set002 Union and intersection of finite sets
mstat042 Interpreting a Venn diagram of 2 sets
mstat043 Interpreting a Venn diagram of 3 sets
glogic001 Conditional statements and negations
glogic005 The converse, inverse, and contrapositive of a conditional statement
glogic008 Conditional statements and deductive reasoning
The Real Number System
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APPENDIX B. SYLLABI IN ALEKS
arith655 Introduction to properties of addition
arith656 Introduction to properties of multiplication
arith692 Writing expressions using exponents
arith233 Introduction to exponents
arith683 Power of 10: Positive exponent
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
arith693 Order of operations with whole numbers and exponents: Basic
arith713 Order of operations with whole numbers and exponents: Advanced
arith657 Understanding the distributive property
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
arith804 Least common multiple of 3 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
alge286 Plotting integers on a number line
mstat038 Reading the temperature from a thermometer
arith699 Writing a signed number for a real-world situation
arith691 Ordering integers
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
arith754 Addition and subtraction with 3 integers
arith701 Word problem with addition or subtraction of integers
arith231 Integer multiplication and division
arith800 Multiplication of 3 or 4 integers
arith118 Order of operations with integers
arith071 Absolute value of a number
arith744 Whole number division with decimal answers
arith623 Introduction to 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
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
arith813 Multiplication of 3 fractions
arith095 Multi-step word problem involving fractions and multiplication
arith088 The reciprocal of a number
arith022 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
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
B.5. LIBERAL ARTS MATH
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
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
arith822 Signed fraction multiplication: Basic
arith814 Signed fraction division
arith116 Signed fraction addition or subtraction: Basic
arith864 Signed fraction subtraction involving double negation
arith811 Addition and subtraction of 3 fractions involving signs
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
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
arith068 Mixed number division
arith820 Word problem involving multiplication or division with mixed numbers
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
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
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
alge001 Identifying numbers as integers or non-integers
alge002 Identifying numbers as rational or irrational
alge188 Properties of real numbers
arith702 Exponents and integers: Problem type 1
arith703 Exponents and integers: Problem type 2
arith704 Exponents and signed fractions
arith600 Order of operations with integers and exponents
alge821 Understanding the product rule of exponents
alge024 Introduction to the product rule of exponents
alge790 Evaluating expressions with exponents of zero
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
alge961 Introduction to the product rule with negative exponents
alge827 Introduction to the quotient rule of exponents
alge755 Quotient rule with negative exponents: Problem type 1
alge306 Introduction to the power of a power rule of exponents
arith036 Scientific notation with positive exponent
arith037 Scientific notation with negative exponent
scinot012 Converting between scientific notation and standard form in a real-world situation
scinot008 Multiplying numbers written in scientific notation: Basic
259
260
APPENDIX B. SYLLABI IN ALEKS
scinot009 Multiplying numbers written in scientific notation: Advanced
scinot010 Dividing numbers written in scientific notation: Basic
scinot011 Dividing numbers written in scientific notation: Advanced
arith016 Square root of a perfect square
arith760 Square roots of perfect squares with signs
arith763 Using a calculator to approximate a square root
arith602 Estimating a square root
arith093 Simplifying the square root of a whole number less than 100
arith762 Simplifying the square root of a whole number greater than 100
arith601 Square root of a rational perfect square
arith767 Introduction to square root addition or subtraction
arith032 Square root addition or subtraction
alge533 Square root addition or subtraction with three terms
arith764 Introduction to square root multiplication
arith765 Square root multiplication: Basic
alge527 Rationalizing a denominator: Quotient involving square roots
alge528 Rationalizing a denominator: Square root of a fraction
alge933 Finding the next terms of a geometric sequence with whole numbers
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
pcalc080 Finding the first terms of a sequence using an explicit rule with multiple occurrences of n
pcalc085 Finding a specified term of an arithmetic sequence given the common difference and first term
pcalc715 Finding a specified term of an arithmetic sequence given two terms of the sequence
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
alge909 Writing an explicit rule for an arithmetic sequence
alge910 Writing a recursive rule for an arithmetic sequence
Basics of Algebra
alge700
alge607
alge310
alge606
alge604
alge608
alge293
alge798
alge029
alge005
alge808
alge302
alge303
alge004
alge733
alge831
alge291
alge016
alge841
alge009
alge801
alge800
alge010
alge836
alge008
alge820
alge825
alge797
alge012
Combining like terms: Whole number coefficients
Combining like terms: Integer coefficients
Multiplying a constant and a linear monomial
Distributive property: Whole number coefficients
Distributive property: Integer coefficients
Using distribution and combining like terms to simplify: Univariate
Combining like terms in a quadratic expression
Simplifying a sum or difference of two univariate polynomials
Simplifying a sum or difference of three univariate polynomials
Evaluating a linear expression: Integer multiplication with addition or subtraction
Evaluating a linear expression: Signed fraction multiplication with addition or subtraction
Evaluating a linear expression: Signed decimal addition and subtraction
Evaluating a linear expression: Signed decimal multiplication with addition or subtraction
Writing a one-step expression for a real-world situation
Translating a phrase into a one-step expression
Translating a phrase into a two-step expression
Translating a sentence into a one-step equation
Translating a sentence into a multi-step equation
Additive property of equality with whole numbers
Additive property of equality with fractions and mixed numbers
Additive property of equality with decimals
Additive property of equality with integers
Additive property of equality with signed fractions
Multiplicative property of equality with whole numbers
Multiplicative property of equality with fractions
Multiplicative property of equality with decimals
Multiplicative property of equality with integers
Multiplicative property of equality with signed fractions
B.5. LIBERAL ARTS MATH
alge834 Identifying solutions to a linear equation in one variable: Two-step equations
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
alge920 Introduction to solving an equation with parentheses
alge837 Solving a multi-step equation given in fractional form
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
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
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
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
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
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
alge730 Writing a multi-step equation for a real-world situation
alge219 Solving a decimal 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
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
geom530 Solving equations involving vertical angles
geom531 Solving equations involving angles and a pair of parallel lines
stat803 Finding the value for a new score that will yield a given mean
arith825 Simplifying a ratio of decimals
arith823 Writing ratios using different notations
arith663 Writing ratios for real-world situations
arith824 Simplifying a ratio of whole numbers: Problem type 1
alge272 Solving a proportion of the form x/a = b/c
alge840 Solving a proportion of the form (x+a)&divide;b = c&divide;d
arith610 Word problem on proportions: Problem type 1
arith611 Word problem on proportions: Problem type 2
alge060 Solving a rational equation that simplifies to linear: Denominator x
alge982 Identifying direct variation equations
alge903 Identifying direct and inverse variation equations
alge904 Writing a direct variation equation
alge905 Writing an inverse variation equation
alge175 Word problem on direct variation
alge220 Word problem on inverse proportions
alge176 Word problem on inverse variation
alge772 Word problem on combined variation
261
262
APPENDIX B. SYLLABI IN ALEKS
alge015
alge845
alge846
alge186
alge748
alge822
alge017
alge166
alge848
alge849
alge852
alge853
alge854
alge964
alge855
alge856
alge857
alge977
alge858
alge746
alge749
alge750
alge033
alge983
alge764
alge039
alge944
alge936
alge939
alge940
alge941
alge681
alge956
alge045
alge048
alge211
alge703
alge227
alge095
alge963
alge214
alge524
Translating a sentence by using an inequality symbol
Translating a sentence into a one-step inequality
Translating a sentence into a multi-step inequality
Translating a sentence into a compound inequality
Writing an inequality for a real-world situation
Writing an inequality given a graph on the number line
Graphing a linear inequality on the number line
Graphing a compound inequality on the number line
Additive property of inequality with whole numbers
Additive property of inequality with integers
Additive property of inequality with signed fractions
Additive property of inequality with signed decimals
Multiplicative property of inequality with integers
Multiplicative property of inequality with signed fractions
Solving a two-step linear inequality: Problem type 1
Solving a two-step linear inequality: Problem type 2
Solving a two-step linear inequality with a fractional coefficient
Solving a linear inequality with multiple occurrences of the variable: Problem type 1
Solving a linear inequality with multiple occurrences of the variable: Problem type 2
Solving a compound linear inequality: Graph solution, basic
Solving a decimal word problem using a two-step linear inequality
Solving a decimal word problem using a linear inequality with the variable on both sides
Multiplying binomials with leading coefficients of 1
Multiplying binomials with leading coefficients greater than 1
Multiplying conjugate binomials: Univariate
Factoring a perfect square trinomial with leading coefficient 1
Factoring out a constant before factoring a quadratic
Factoring a quadratic with leading coefficient greater than 1: Problem type 1
Factoring a quadratic with leading coefficient greater than 1: Problem type 2
Factoring a quadratic with leading coefficient greater than 1: Problem type 3
Solving an equation written in factored form
Finding the roots of a quadratic equation of the form ax2 + bx = 0
Finding the roots of a quadratic equation with leading coefficient greater than 1
Solving a quadratic equation needing simplification
Solving a word problem using a quadratic equation with rational roots
Solving a word problem using a quadratic equation with irrational roots
Graphs and Functions
alge064
alge067
alge850
alge873
alge877
alge197
alge878
alge879
alge198
alge884
alge924
alge210
alge881
alge880
alge875
Reading a point in the coordinate plane
Plotting a point in the coordinate plane
Table for a linear equation
Identifying solutions to a linear equation in two variables
Graphing a linear equation of the form y = mx
Graphing a line given its x- and y-intercepts
Graphing a line given its equation in slope-intercept form: Integer slope
Graphing a line given its equation in slope-intercept form: Fractional slope
Graphing a vertical or horizontal line
Finding x- and y-intercepts given the graph of a line on a grid
Finding x- and y-intercepts of a line given the equation: Basic
Finding x- and y-intercepts of a line given the equation: Advanced
Graphing a line by first finding its x- and y-intercepts
Graphing a line given its equation in standard form
Classifying slopes given graphs of lines
B.5. LIBERAL ARTS MATH
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
alge259 Graphing a line given its slope and y-intercept
alge196 Graphing a line through a given point with 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
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
alge883 Graphing a line given its equation in point-slope form
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
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
alge992 Combining functions to write a new function that models a real-world situation
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
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 2x2 system of linear equations that is inconsistent or consistent dependent
alge753 Solving a 3x3 system of linear equations: Problem type 1
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
alge172 Solving a tax rate or interest rate problem using a system of linear equations
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
alge922 Graphing a system of three linear inequalities
alge729 Writing a multi-step inequality for a real-world situation
pcalc093 Solving a word problem using a system of linear inequalities: Problem type 1
pcalc095 Linear programming
pcalc094 Solving a word problem using linear programming
pcalc037 Scalar multiplication of a matrix
pcalc038 Addition or subtraction of matrices
pcalc740 Linear combination of matrices
pcalc039 Multiplication of matrices: Basic
pcalc712 Gauss-Jordan elimination with a 2x2 matrix
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
263
264
APPENDIX B. SYLLABI IN ALEKS
pcalc761 Finding inputs and outputs of a function from its graph
fun024 Domain and range from the graph of a continuous function
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
alge572 Graphing a function of the form f(x) = ax2
alge573 Graphing a function of the form f(x) = ax2 + c
alge999 Finding where a function is increasing, decreasing, or constant given the graph
mstat018 Choosing a graph to fit a narrative: Basic
alge974 Finding the vertex, x-intercepts, and axis of symmetry from the graph of a parabola
alge954 Graphing a parabola of the form y = ax2
alge955 Graphing a parabola of the form y = ax2 + c
alge253 Graphing a parabola of the form y = (x-h)2 + k
alge569 Graphing a parabola of the form y = x2 + bx + c
pcalc746 Graphing a parabola of the form y = ax2 + bx + c: Integer coefficients
pcalc747 Graphing a parabola of the form y = ax2 + bx + c: Rational coefficients
alge277 Finding the x-intercept(s) and the vertex of a parabola
pcalc775 Finding the maximum or minimum of a quadratic function
alge785 Word problem involving the maximum or minimum of a quadratic function
alge975 Domain and range from the graph of a parabola
pcalc762 Range of a quadratic function
alge723 How the leading coefficient affects the shape of a parabola
alge971 Table for an exponential function
alge830 Evaluating an exponential function that models a real-world situation
alge177 Finding a final amount in a word problem on exponential growth or decay
alge966 Finding the initial amount and rate of change given an exponential function
alge968 Writing an equation that models exponential growth or decay
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
alge108 Converting between logarithmic and exponential equations
pcalc612 Change of base for logarithms: Problem type 1
pcalc799 Converting between natural logarithmic and exponential equations
alge788 Graphing a logarithmic function: Basic
Consumer Mathematics
arith836 Converting a fraction with a denominator of 100 to a percentage
arith837 Converting a percentage to a fraction with a denominator of 100
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
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
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
mstat049 Computing a percentage from a table of values
arith850 Finding the rate of a tax or commission
arith849 Finding the total amount given the percentage of a partial amount
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
B.5. LIBERAL ARTS MATH
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
bmath037 Simple interest and maturity value
bmath038 Exact and ordinary methods for simple interest and maturity value
bmath039 Solving for principal, rate, or time in simple interest problems
bmath101 The U. S. Rule: Making partial note payments before due date
arith853 Introduction to compound interest
alge741 Finding the final amount in a word problem on compound interest
bmath042 Compound interest for daily compounding
bmath041 Compound interest for annual, semiannual, and quarterly compounding
bmath043 Present value tables
bmath044 Ordinary annuity
bmath045 Annuity due
bmath047 Sinking funds
bmath048 Amount financed, finance charge, and deferred payment
bmath049 Cost of installment buying: Computing the APR
bmath050 Cost of installment buying: Computing the monthly payment
bmath052 Revolving charge credit cards
bmath053 Monthly mortgage payment tables
bmath054 Total cost of interest for a mortgage
bmath055 Amortization schedule: Interest, principal, and new mortgage balance
bmath085 Calculating return on stock investment
bmath139 Stock yield, earnings per share, and price-earnings ratio
bmath084 Stock dividends
bmath087 Calculating bond yields
bmath088 Net asset value of a mutual fund
Measurement
mstat059 Choosing U.S. Customary measurement units
unit005 U.S. Customary unit conversion with whole number values
mstat035 Conversions involving measurements in feet and inches
unit006 U.S. Customary unit conversion with whole number values: Two-step conversion
unit009 U.S. Customary area unit conversion with whole number values
mstat060 Choosing metric measurement units
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
mstat065 Converting between temperatures in Fahrenheit and Celsius
unit034 Converting between metric and U.S. Customary unit systems
unit035 Converting between compound units: Basic
unit036 Converting between compound units: Advanced
Geometry
geom358
geom349
geom151
geom152
geom303
geom039
Identifying parallel and perpendicular lines
Naming segments, rays, and lines
Measuring an angle with the protractor
Drawing an angle with the protractor
Acute, obtuse, and right angles
Finding supplementary and complementary angles
265
266
APPENDIX B. SYLLABI IN ALEKS
geom305 Identifying supplementary and vertical angles
geom304 Identifying corresponding and alternate angles
geom306 Acute, obtuse, and right triangles
geom307 Classifying scalene, isosceles, and equilateral triangles by side lengths or angles
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
alge407 Introduction to the Pythagorean Theorem
geom044 Pythagorean Theorem
alge408 Word problem involving the Pythagorean Theorem
geom339 Perimeter of a polygon
geom300 Perimeter of a square or a rectangle
geom078 Sides of polygons having the same perimeter
geom221 Finding the missing length in a figure
geom353 Perimeter of a piecewise rectangular figure
geom361 Naming polygons
geom867 Identifying parallelograms, rectangles, and squares
geom532 Classifying parallelograms
geom019 Area of a square or a rectangle
geom866 Perimeter and area on a grid
geom619 Area of a rectangle involving mixed numbers and fractions
geom350 Distinguishing between the area and perimeter of a rectangle
geom351 Areas of rectangles with the same perimeter
geom340 Area of a piecewise rectangular figure
geom142 Word problem involving the area between two rectangles
geom801 Area of a triangle
geom344 Area involving rectangles and triangles
geom022 Area of a parallelogram
geom023 Area of a trapezoid
geom016 Circumference of a circle
geom301 Perimeter involving rectangles and circles
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
geom868 Classifying solids
geom348 Vertices, edges, and faces of a solid
geom354 Volume of a rectangular prism made of unit cubes
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
geom622 Volume of a cone
geom841 Volume of a sphere
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
geom621 Surface area of a cylinder
geom842 Surface area of a sphere
geom359 Identifying congruent shapes on a grid
geom520 Identifying and naming congruent triangles
geom360 Identifying similar or congruent shapes on a grid
geom037 Similar polygons
geom038 Similar right triangles
geom337 Indirect measurement
geom510 Triangles and parallel lines
geom846 Computing ratios of side lengths, surface areas, and volumes for similar solids
geom357 Identifying transformations
geom330 Translating a polygon
B.5. LIBERAL ARTS MATH
geom332
geom334
geom335
geom815
pcalc609
pcalc600
geom506
pcalc616
pcalc606
pcalc607
pcalc610
pcalc608
pcalc611
pcalc642
pcalc648
pcalc031
pcalc644
pcalc033
pcalc645
pcalc646
pcalc647
Reflecting a polygon over a vertical or horizontal line
Drawing lines of symmetry
Rotating a figure about the origin
Finding an angle of rotation
Sine, cosine, and tangent ratios: Numbers for side lengths
Sine, cosine, and tangent ratios: Variables for side lengths
Using a calculator to approximate sine, cosine, and tangent values
Using the Pythagorean Theorem to find a trigonometric ratio
Using a trigonometric ratio to find a side length in a right triangle
Using trigonometry to find a length in a word problem with one right triangle
Using a trigonometric ratio to find an angle measure in a right triangle
Using trigonometry to find angles of elevation or depression in a word problem
Solving a right triangle
Simplifying trigonometric expressions
Solving a triangle with the law of sines: Problem type 1
Solving a word problem using the law of sines
Solving a triangle with the law of cosines
Solving a word problem using the law of cosines
Finding the area of a triangle using trigonometry
Heron’s formula
Counting and Probability
mstat041 Interpreting a tree diagram
mstat040 Introduction to the counting principle
mstat015 Counting principle
pcalc082 Factorial expressions
pcalc809 Introduction to permutations and combinations
mstat017 Computing permutations and combinations
mstat008 Word problem involving permutations
mstat009 Word problem involving combinations
pcalc810 Permutations and combinations: Problem type 1
pcalc090 Permutations and combinations: Problem type 3
mstat026 Introduction to the probability of an event
mstat010 Probability of an event
mstat039 Understanding likelihood
mstat046 Experimental and theoretical probability
mstat048 Odds of an event
stat106 Outcomes and event probability
stat226 Die rolling
mstat011 Area as probability
stat118 Probabilities of draws without replacement
mstat012 Probability of independent events
mstat047 Introduction to expectation
stat020 Calculating relative frequencies in a contingency table
stat805 Making a reasonable inference based on proportion statistics
mstat032 Probability of the union of two events
stat114 Probability of intersection or union: Word problems
mstat013 Probability of dependent events
stat116 Conditional probability: Basic
stat109 Intersection and conditional probability
stat174 Binomial problems: Basic
Statistics
mstat056 Interpreting a tally table
mstat005 Constructing a bar graph for non-numerical data
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268
APPENDIX B. SYLLABI IN ALEKS
mstat004 Constructing a histogram for numerical data
mstat031 Interpreting a stem-and-leaf plot
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
geom814 Angle measure in a circle graph
stat901 Computations from pie charts
stat904 Interpreting pie charts
stat702 Histograms for grouped data
stat703 Frequency polygons for grouped data
stat831 Interpreting a stem-and-leaf display
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
mstat029 How changing a value affects the mean and median
mstat053 Choosing the best measure to describe data
mstat066 Weighted mean
stat719 Estimating the mean of grouped data
stat798 Mean, median, and mode: Comparisons
stat706 Mean, median, and mode: Computations
stat165 Comparing standard deviations without calculation
stat011 Sample standard deviation
stat730 Chebyshev’s theorem and the empirical rule
stat009 Percentiles
mstat072 Five-number summary and interquartile range
mstat006 Constructing a box-and-whisker plot
stat023 Box-and-whisker plots
stat157 Standard normal probabilities
stat760 Standard normal values: Basic
stat159 Normal versus standard normal density curves
stat161 Normal distribution raw scores
stat163 Normal distribution: Word problems
stat852 Word problem involving calculations from a normal distribution
stat185 Central limit theorem: Sample mean
mstat052 Identifying independent and dependent variables from equations or real-world situations
mstat030 Sketching the line of best fit
mstat023 Scatter plots and correlation
mstat068 Predictions from the line of best fit
mstat071 Linear relationship and the correlation coefficient
B.6
Beginning Algebra
arith692 Writing expressions using exponents
arith233 Introduction to exponents
arith683 Power of 10: Positive exponent
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
alge285 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
B.6. BEGINNING ALGEBRA
arith033
arith070
arith804
arith240
arith064
arith212
arith067
arith618
arith802
arith801
arith664
arith230
arith803
arith805
arith100
arith079
arith086
arith119
arith053
arith812
arith813
arith821
arith818
arith095
arith088
arith694
arith022
arith819
arith859
arith860
arith861
arith015
arith619
arith084
arith216
arith806
arith808
arith809
arith807
arith810
arith815
arith816
arith817
arith068
arith820
arith110
arith221
arith718
arith087
arith722
arith724
arith013
arith735
arith736
arith737
arith131
arith133
arith134
arith017
arith055
arith082
arith752
Greatest common factor of 2 numbers
Least common multiple of 2 numbers
Least common multiple of 3 numbers
Word problem with common multiples
Solving a word problem on proportions using a unit rate
Equivalent fractions
Simplifying a fraction
Addition or subtraction of fractions with the same denominator
Addition or subtraction of fractions with the same denominator and simplification
Finding the LCD of two fractions
Introduction to addition or subtraction of fractions with different denominators
Addition or subtraction of fractions with different denominators
Addition and subtraction of 3 fractions with different denominators
Word problem involving addition or subtraction of fractions with different denominators
Fractional part of a circle
Product of a unit fraction and a whole number
Product of a fraction and a whole number: Problem type 1
Introduction to fraction multiplication
Fraction multiplication
Product of a fraction and a whole number: Problem type 2
Multiplication of 3 fractions
Exponents and fractions
Word problem involving fractions and multiplication
Multi-step word problem involving fractions and multiplication
The reciprocal of a number
Division involving a whole number and a fraction
Fraction division
Word problem involving fractions and division
Order of operations with fractions: Problem type 1
Order of operations with fractions: Problem type 2
Order of operations with fractions: Problem type 3
Writing an improper fraction as a mixed number
Writing a mixed number as an improper fraction
Addition of mixed numbers with the same denominator and carry
Subtraction of mixed numbers with the same denominator and borrowing
Addition or subtraction of mixed numbers with different denominators and no carry or borrow
Addition of mixed numbers with different denominators and carry
Subtraction of mixed numbers with different denominators and borrowing
Addition and subtraction of 3 mixed numbers with different denominators
Word problem involving addition or subtraction of mixed numbers with different denominators
Mixed number multiplication
Multiplication of a mixed number and a whole number
Division with a mixed number and a whole number
Mixed number division
Word problem involving multiplication or division with mixed numbers
Decimal place value: Tenths and hundredths
Rounding decimals
Converting a decimal to a proper fraction in simplest form: Basic
Converting a decimal to a proper fraction in simplest form: Advanced
Converting a decimal to a mixed number and an improper fraction in simplest form: Basic
Converting a decimal to a mixed number and an improper fraction in simplest form: Advanced
Decimal subtraction: Basic
Decimal addition and subtraction with 3 or more numbers
Estimating a decimal sum or difference
Word problem with addition of 3 or 4 decimals and whole numbers
Word problem with subtraction of a whole number and a decimal: Regrouping with zeros
Multiplication of a decimal by a whole number
Decimal multiplication: Problem type 1
Multiplication of a decimal by a power of ten
Estimating a product of decimals
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APPENDIX B. SYLLABI IN ALEKS
arith753 Squaring decimal bases: Products greater than 0.1
arith741 Exponents and decimals: Products less than 0.1
arith137 Word problem with multiplication of two decimals
arith224 Word problem with decimal addition and multiplication
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
arith138 Word problem with division of two decimals
arith227 Word problem with decimal subtraction and division
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
arith111 Converting a mixed number to a terminating decimal: Basic
arith112 Converting a mixed number to a terminating decimal: Advanced
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
arith836 Converting a fraction with a denominator of 100 to a percentage
arith837 Converting a percentage to a fraction with a denominator of 100
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
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
mstat003 Mode of a data set
arith103 Average of two numbers
mstat001 Mean of a data set
mstat028 Mean and median of a data set
mstat066 Weighted mean
mstat024 Interpreting a bar graph
mstat007 Interpreting a line graph
geom339 Perimeter of a polygon
geom300 Perimeter of a square or a rectangle
geom618 Perimeter of a polygon involving mixed numbers and fractions
geom078 Sides of polygons having the same perimeter
geom019 Area of a square or a rectangle
geom350 Distinguishing between the area and perimeter of a rectangle
geom620 Area of a rectangle involving fractions
geom619 Area of a rectangle involving mixed numbers and fractions
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
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
geom311 Volume of a rectangular prism
geom090 Volume of a triangular prism
geom033 Volume of a pyramid
B.6. BEGINNING ALGEBRA
geom035
geom092
geom622
geom841
geom031
geom091
geom621
geom842
geom303
geom039
geom306
geom307
Volume of a cylinder
Word problem involving the rate of filling or emptying a cylinder
Volume of a cone
Volume of a sphere
Surface area of a cube or a rectangular prism
Surface area of a triangular prism
Surface area of a cylinder
Surface area of a sphere
Acute, obtuse, and right angles
Finding supplementary and complementary angles
Acute, obtuse, and right triangles
Classifying scalene, isosceles, and equilateral triangles by side lengths or angles
Real Numbers and Algebraic Expressions
arith687 Fractional position on a number line
arith829 Reading decimal position on a number line: Tenths
arith830 Reading decimal position on a number line: Hundredths
alge286 Plotting integers on a number line
arith605 Plotting rational numbers on a number line
arith699 Writing a signed number for a real-world situation
arith092 Using a common denominator to order fractions
arith129 Introduction to ordering decimals
arith608 Ordering decimals
arith609 Ordering fractions and decimals
arith691 Ordering integers
arith016 Square root of a perfect square
arith763 Using a calculator to approximate a square root
arith602 Estimating a square root
arith712 Ordering real numbers
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
arith754 Addition and subtraction with 3 integers
arith755 Addition and subtraction with 4 or 5 integers
arith701 Word problem with addition or subtraction of integers
arith231 Integer multiplication and division
arith800 Multiplication of 3 or 4 integers
arith711 Division involving zero
alge001 Identifying numbers as integers or non-integers
alge002 Identifying numbers as rational or irrational
arith116 Signed fraction addition or subtraction: Basic
arith864 Signed fraction subtraction involving double negation
arith811 Addition and subtraction of 3 fractions involving signs
arith822 Signed fraction multiplication: Basic
arith814 Signed fraction division
arith117 Signed decimal addition and subtraction
arith234 Signed decimal addition and subtraction with 3 numbers
arith750 Signed decimal multiplication
arith751 Signed decimal division
arith104 Operations with absolute value: Problem type 2
geom525 Computing distances between decimals on the number line
arith702 Exponents and integers: Problem type 1
arith703 Exponents and integers: Problem type 2
arith704 Exponents and signed fractions
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APPENDIX B. SYLLABI IN ALEKS
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
alge808 Evaluating a linear expression: Signed fraction multiplication with addition or subtraction
alge302 Evaluating a linear expression: Signed decimal addition and subtraction
alge303 Evaluating a linear expression: Signed decimal multiplication with addition or subtraction
alge700 Combining like terms: Whole number coefficients
alge607 Combining like terms: Integer coefficients
arith655 Introduction to properties of addition
arith657 Understanding the distributive property
alge310 Multiplying a constant and a linear monomial
alge606 Distributive property: Whole number coefficients
alge604 Distributive property: Integer coefficients
arith656 Introduction to properties of multiplication
alge188 Properties of real numbers
alge608 Using distribution and combining like terms to simplify: Univariate
alge609 Using distribution with double negation and combining like terms to simplify: Multivariate
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
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
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
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
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
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
alge603 Introduction to solving an absolute value equation
B.6. BEGINNING ALGEBRA
alge864 Solving an absolute value equation: Problem type 1
alge272 Solving a proportion of the form x/a = b/c
alge840 Solving a proportion of the form (x+a)&divide;b = c&divide;d
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
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
alge016 Translating a sentence into a one-step equation
alge841 Translating a sentence into a multi-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
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
alge730 Writing a multi-step equation for a real-world situation
alge794 Solving a value mixture problem using a linear equation
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
mstat065 Converting between temperatures in Fahrenheit and Celsius
geom217 Finding the side length of a rectangle given its perimeter or area
geom817 Finding a side length given the perimeter and side lengths with variables
geom143 Finding the perimeter or area of a rectangle given one of these values
geom218 Finding the radius or the diameter of a circle given its circumference
geom530 Solving equations involving vertical angles
geom001 Finding an angle measure of a triangle given two angles
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
geom812 Finding an angle measure given extended triangles
geom813 Finding an angle measure given a triangle and parallel lines
stat803 Finding the value for a new score that will yield a given mean
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
mstat049 Computing a percentage from a table of values
arith850 Finding the rate of a tax or commission
arith849 Finding the total amount given the percentage of a partial amount
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
arith854 Computing a percent mixture
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274
APPENDIX B. SYLLABI IN ALEKS
alge795 Solving a percent mixture problem using a linear equation
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
arith232 Finding simple interest without a calculator
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
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
set001 Set builder notation
set004 Set builder and interval notation
set002 Union and intersection of finite sets
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
alge858 Solving a linear inequality with multiple occurrences of the variable: Problem
alge859 Solving a linear inequality with multiple occurrences of the variable: Problem
alge860 Solving inequalities with no solution or all real numbers as solutions
alge746 Solving a compound linear inequality: Graph solution, basic
alge747 Solving a compound linear inequality: Interval notation
alge868 Solving an absolute value inequality: Problem type 1
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
Lines and Functions
alge064
alge067
alge850
alge873
alge066
alge191
alge877
alge878
alge879
alge880
alge198
alge884
alge924
alge210
alge197
alge881
Reading a point in the coordinate plane
Plotting a point in the coordinate plane
Table for a linear equation
Identifying solutions to a linear equation in two variables
Finding a solution to a linear equation in two variables
Midpoint of a line segment in the plane
Graphing a linear equation of the form y = mx
Graphing a line given its equation in slope-intercept form: Integer slope
Graphing a line given its equation in slope-intercept form: Fractional slope
Graphing a line given its equation in standard form
Graphing a vertical or horizontal line
Finding x- and y-intercepts given the graph of a line on a grid
Finding x- and y-intercepts of a line given the equation: Basic
Finding x- and y-intercepts of a line given the equation: Advanced
Graphing a line given its x- and y-intercepts
Graphing a line by first finding its x- and y-intercepts
type 1
type 2
type 3
both sides
B.6. BEGINNING ALGEBRA
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
alge259 Graphing a line given its slope and y-intercept
alge196 Graphing a line through a given point with a given slope
alge874 Identifying linear functions given ordered pairs
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
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
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
alge992 Combining functions to write a new function that models a real-world situation
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
mstat052 Identifying independent and dependent variables from equations or real-world situations
alge991 Solving a linear equation by graphing
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
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
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
fun033 Variable expressions as inputs of functions: Problem type 1
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
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APPENDIX B. SYLLABI IN ALEKS
pcalc761 Finding inputs and outputs of a function from its graph
fun007 Domain and range from the graph of a discrete relation
fun024 Domain and range from the graph of a continuous function
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
alge954 Graphing a parabola of the form y = ax2
alge955 Graphing a parabola of the form y = ax2 + c
alge572 Graphing a function of the form f(x) = ax2
alge573 Graphing a function of the form f(x) = ax2 + c
pcalc750 Finding intercepts of a nonlinear function given its graph
pcalc751 Finding where a function is increasing, decreasing, or constant given the graph: Interval notation
pcalc752 Finding local maxima and minima of a function given the graph
mstat018 Choosing a graph to fit a narrative: Basic
mstat051 Choosing a graph to fit a narrative: Advanced
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 2x2 system of linear equations that is inconsistent or consistent dependent
alge988 Identifying the operations used to create equivalent systems of equations
alge753 Solving a 3x3 system of linear equations: Problem type 1
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
alge192 Solving a percent mixture problem using a system of linear equations
alge224 Solving a distance, rate, time 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: Problem type 1
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
alge922 Graphing a system of three linear inequalities
alge729 Writing a multi-step inequality for a real-world situation
pcalc093 Solving a word problem using a system of linear inequalities: Problem type 1
Exponents
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
arith029 Ordering numbers with positive exponents
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
B.6. BEGINNING ALGEBRA
alge307 Power rules with positive exponents: Multivariate products
alge308 Power rules with positive exponents: Multivariate quotients
alge756 Power and product rules with positive exponents
alge451 Simplifying a ratio of multivariate monomials: Basic
alge827 Introduction to the quotient rule of exponents
alge452 Simplifying a ratio of univariate monomials
alge026 Quotient of expressions involving exponents
alge453 Simplifying a ratio of multivariate monomials: Advanced
alge927 Power and quotient rules with positive exponents
alge790 Evaluating expressions with exponents of zero
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
alge961 Introduction to the product rule with negative exponents
alge028 Product rule with negative exponents
alge755 Quotient rule with negative exponents: Problem type 1
alge926 Quotient rule with negative exponents: Problem type 2
alge025 Power of a power rule with negative exponents
alge799 Power rules with negative 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
arith036 Scientific notation with positive exponent
arith037 Scientific notation with negative exponent
scinot012 Converting between scientific notation and standard form in a real-world situation
scinot008 Multiplying numbers written in scientific notation: Basic
scinot009 Multiplying numbers written in scientific notation: Advanced
scinot010 Dividing numbers written in scientific notation: Basic
scinot011 Dividing numbers written in scientific notation: Advanced
alge971 Table for an exponential function
alge830 Evaluating an exponential function that models a real-world situation
arith853 Introduction to compound interest
alge177 Finding a final amount in a word problem on exponential growth or decay
alge741 Finding the final amount in a word problem on compound interest
alge966 Finding the initial amount and rate of change given an exponential function
alge968 Writing an equation that models exponential growth or decay
alge301 Solving an exponential equation by finding common bases: Linear exponents
alge969 Graphing an exponential function: f(x) = ax
alge970 Graphing an exponential function: f(x) = a(b)x
alge967 Writing an exponential function rule given a table of ordered pairs
alge993 Comparing linear, polynomial, and exponential functions
Polynomials and Factoring
alge758
alge031
alge798
alge029
alge932
alge735
alge972
alge835
alge033
alge983
alge765
alge764
alge081
Degree and leading coefficient of a univariate polynomial
Degree of a multivariate polynomial
Simplifying a sum or difference of two univariate polynomials
Simplifying a sum or difference of three univariate polynomials
Simplifying a sum or difference of multivariate polynomials
Multiplying a univariate polynomial by a monomial with a positive coefficient
Multiplying a univariate polynomial by a monomial with a negative coefficient
Multiplying a multivariate polynomial by a monomial
Multiplying binomials with leading coefficients of 1
Multiplying binomials with leading coefficients greater than 1
Multiplying binomials in two variables
Multiplying conjugate binomials: Univariate
Multiplying conjugate binomials: Multivariate
277
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APPENDIX B. SYLLABI IN ALEKS
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
alge605 Factoring a linear binomial
alge736 Introduction to the GCF of two monomials
alge930 Greatest common factor of three univariate monomials
alge037 Greatest common factor of two multivariate 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: GCF factoring, 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
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
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
alge041 Factoring a product of a quadratic trinomial and a monomial
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
alge407 Introduction to the Pythagorean Theorem
geom044 Pythagorean Theorem
alge408 Word problem involving the Pythagorean Theorem
alge713 Using the Pythagorean Theorem and a quadratic equation to find side lengths of a right triangle
Rational Expressions
alge049
alge467
alge468
alge469
alge715
Restriction on a variable in a denominator: Linear
Restriction on a variable in a denominator: Quadratic
Evaluating a rational function: Problem type 1
Evaluating a rational function: Problem type 2
Domain of a rational function: Excluded values
B.6. BEGINNING ALGEBRA
alge454 Simplifying a ratio of factored polynomials: Linear factors
alge455 Simplifying a ratio of factored polynomials: Factors with exponents
alge456 Simplifying a ratio of polynomials using GCF factoring
alge457 Simplifying a ratio of linear polynomials: 1, -1, and no simplification
alge458 Simplifying a ratio of polynomials by factoring a quadratic with leading coefficient 1
alge710 Simplifying a ratio of polynomials: Problem type 1
alge682 Simplifying a ratio of polynomials: Problem type 2
alge459 Simplifying a ratio of polynomials: Problem type 3
alge034 Simplifying a ratio of multivariate polynomials
alge053 Multiplying rational expressions involving multivariate monomials
alge460 Multiplying rational expressions made up of linear expressions
alge461 Multiplying rational expressions involving quadratics with leading coefficients greater than 1
alge462 Multiplying rational expressions involving multivariate quadratics
alge054 Dividing rational expressions involving multivariate monomials
alge463 Dividing rational expressions involving linear expressions
alge464 Dividing rational expressions involving quadratics with leading coefficients greater than 1
alge465 Dividing rational expressions involving multivariate quadratics
alge466 Multiplication and division of 3 rational expressions
alge737 Introduction to the LCM of two monomials
alge055 Least common multiple of two monomials
alge427 Finding the LCD of rational expressions with linear denominators: Relatively prime
alge428 Finding the LCD of rational expressions with linear denominators: Common factors
alge429 Finding the LCD of rational expressions with quadratic denominators
alge430 Writing equivalent rational expressions with monomial denominators
alge431 Writing equivalent rational expressions with polynomial denominators
alge304 Writing equivalent rational expressions involving opposite factors
alge432 Introduction to adding fractions with variables and common denominators
alge433 Adding rational expressions with common denominators and monomial numerators
alge056 Adding rational expressions with common denominators and binomial numerators
alge434 Adding rational expressions with common denominators and GCF factoring
alge436 Adding rational expressions with different denominators and a single occurrence of a variable
alge437 Adding rational expressions with denominators ax and bx: Basic
alge439 Adding rational expressions with denominators axn and bxm
alge440 Adding rational expressions with multivariate monomial denominators: Basic
alge441 Adding rational expressions with linear denominators without common factors: Basic
alge443 Adding rational expressions with linear denominators with common factors: Basic
alge445 Adding rational expressions with denominators ax-b and b-ax
arith695 Complex fraction without variables: Problem type 1
arith696 Complex fraction without variables: Problem type 2
alge470 Complex fraction involving univariate monomials
alge058 Complex fraction involving multivariate monomials
alge471 Complex fraction: GCF factoring
alge473 Complex fraction made of sums involving rational expressions: Problem type 1
alge474 Complex fraction made of sums involving rational expressions: Problem type 2
alge475 Complex fraction made of sums involving rational expressions: Problem type 3
alge476 Complex fraction made of sums involving rational expressions: Problem type 4
alge477 Complex fraction made of sums involving rational expressions: Problem type 5
alge478 Complex fraction made of sums involving rational expressions: Problem type 6
alge479 Complex fraction made of sums involving rational expressions: Multivariate
alge480 Complex fraction with negative exponents: Problem type 1
alge481 Complex fraction with negative exponents: Problem type 2
alge162 Complex fraction that contains a complex fraction
279
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APPENDIX B. SYLLABI IN ALEKS
alge271 Solving a proportion of the form a/(x+b) = c/x
alge060 Solving a rational equation that simplifies to linear: Denominator x
alge205 Solving a rational equation that simplifies to linear: Denominator x+a
alge769 Solving a rational equation that simplifies to linear: Denominators a, x, or ax
alge421 Solving a rational equation that simplifies to linear: Denominators ax and bx
alge422 Solving a rational equation that simplifies to linear: Like binomial denominators
alge206 Solving a rational equation that simplifies to linear: Unlike binomial denominators
alge423 Solving a rational equation that simplifies to linear: Factorable quadratic denominator
alge424 Solving a rational equation that simplifies to quadratic: Proportional form, basic
alge425 Solving a rational equation that simplifies to quadratic: Denominator x
alge212 Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators
alge062 Solving a rational equation that simplifies to quadratic: Binomial denominators and numerators
alge426 Solving a rational equation that simplifies to quadratic: Factorable quadratic denominator
alge047 Solving a rational equation that simplifies to quadratic: Proportional form, advanced
arith823 Writing ratios using different notations
arith663 Writing ratios for real-world situations
arith824 Simplifying a ratio of whole numbers: Problem type 1
arith826 Simplifying a ratio of whole numbers: Problem type 2
arith825 Simplifying a ratio of decimals
arith827 Finding a unit price
arith828 Computing unit prices to find the better buy
arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers
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
alge508 Solving for a variable in terms of other variables in a rational equation: Problem type 1
alge509 Solving for a variable in terms of other variables in a rational equation: Problem type 2
alge510 Solving for a variable in terms of other variables in a rational equation: Problem type 3
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
geom838 Circumference ratios
arith612 Word problem involving multiple rates
alge770 Solving a work problem using a rational equation
alge450 Solving a distance, rate, time problem using a rational equation
alge059 Ordering fractions with variables
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
pcalc681 Writing an equation that models variation
alge772 Word problem on combined variation
alge413 Finding all square roots of a number
arith601 Square root of a rational perfect square
arith760 Square roots of perfect squares with signs
alge415 Introduction to simplifying a radical expression with an even exponent
alge264 Square root of a perfect square monomial
B.6. BEGINNING ALGEBRA
arith094 Cube root of an integer
alge549 Finding nth roots of perfect nth powers with signs
arith768 Finding the nth root of a perfect nth power fraction
alge550 Finding the nth root of a perfect nth power 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
alge520 Introduction to simplifying a radical expression with an odd exponent
alge521 Simplifying a radical expression with an odd exponent
alge275 Simplifying a radical expression with two variables
alge273 Simplifying a higher root of a whole number
alge551 Introduction to simplifying a higher radical expression
alge552 Simplifying a higher radical expression: Univariate
alge811 Simplifying a higher radical expression: Multivariate
arith767 Introduction to square root addition or subtraction
arith032 Square root addition or subtraction
alge533 Square root addition or subtraction with three terms
alge531 Introduction to simplifying a sum or difference of radical expressions: Univariate
alge532 Simplifying a sum or difference of radical expressions: Univariate
alge084 Simplifying a sum or difference of radical expressions: Multivariate
alge554 Simplifying a sum or difference of higher roots
alge555 Simplifying a sum or difference of higher radical expressions
arith764 Introduction to square root multiplication
arith765 Square root multiplication: Basic
alge522 Introduction to simplifying a product of radical expressions: Univariate
alge523 Simplifying a product of radical expressions: Univariate
alge640 Simplifying a product of radical expressions: Multivariate
alge556 Introduction to simplifying a product of higher roots
alge557 Simplifying a product of higher radical expressions
alge525 Introduction to simplifying a product involving square roots using the distributive property
alge526 Simplifying a product involving square roots using the distributive property: Basic
alge276 Simplifying a product involving square roots using the distributive property: Advanced
alge774 Special products of radical expressions: Conjugates and squaring
alge984 Classifying sums and products as rational or irrational
arith766 Simplifying a quotient of square roots
alge530 Simplifying a quotient involving a sum or difference with a square root
alge527 Rationalizing a denominator: Quotient involving square roots
alge528 Rationalizing a denominator: Square root of a fraction
alge529 Rationalizing a denominator: Quotient involving a monomial
alge534 Rationalizing a denominator using conjugates: Integer numerator
alge535 Rationalizing a denominator using conjugates: Square root in numerator
alge536 Rationalizing a denominator using conjugates: Variable in denominator
alge564 Rationalizing a denominator: Quotient involving a higher radical
alge400 Introduction to solving a radical equation
alge089 Solving a radical equation that simplifies to a linear equation: One radical, basic
alge090 Solving a radical equation that simplifies to a linear equation: Two radicals
alge405 Solving a radical equation with two radicals that simplifies to sqrt(x) = a
alge410 Solving an equation with a root index greater than 2: Problem type 1
alge417 Solving an equation with a root index greater than 2: Problem type 2
alge412 Algebraic symbol manipulation with radicals
alge542 Word problem involving radical equations: Basic
alge132 Distance between two points in the plane: Exact answers
alge539 Table for a square root function
alge540 Domain of a square root function: Basic
pcalc763 Domain of a square root function: Advanced
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APPENDIX B. SYLLABI IN ALEKS
alge543
alge544
alge812
alge560
alge561
alge250
alge251
alge558
alge559
alge773
alge562
alge249
alge563
Graphing a square root function: Problem type 1
Graphing a square root function: Problem type 2
Converting between radical form and exponent form
Rational exponents: Unit fraction exponents and whole number bases
Rational exponents: Unit fraction exponents and bases involving signs
Rational exponents: Non-unit fraction exponent with a whole number base
Rational exponents: Negative exponents and fractional bases
Rational exponents: Product rule
Rational exponents: Quotient rule
Rational exponents: Products and quotients with negative exponents
Rational exponents: Power of a power rule
Rational exponents: Powers of powers with negative exponents
Simplifying products or quotients of higher radicals with different indices: Univariate
alge778 Using i to rewrite square roots of negative numbers
alge779 Simplifying a product and quotient involving square roots of negative numbers
pcalc048 Adding or subtracting complex numbers
pcalc049 Multiplying complex numbers
pcalc050 Dividing complex numbers
pcalc053 Simplifying a power of i
alge962 Solving an equation of the form x2 = a using the square root property
alge092 Solving a quadratic equation using the square root property: Exact answers, basic
alge094 Completing the square
pcalc051 Solving a quadratic equation with complex roots
alge214 Discriminant of a quadratic equation
alge524 Solving a word problem using a quadratic equation with irrational roots
alge974 Finding the vertex, x-intercepts, and axis of symmetry from the graph of a parabola
alge953 Translating the graph of a parabola: One step
alge253 Graphing a parabola of the form y = (x-h)2 + k
alge569 Graphing a parabola of the form y = x2 + bx + c
pcalc746 Graphing a parabola of the form y = ax2 + bx + c: Integer coefficients
pcalc747 Graphing a parabola of the form y = ax2 + bx + c: Rational coefficients
alge277 Finding the x-intercept(s) and the vertex of a parabola
pcalc774 Rewriting a quadratic function to find the vertex of its graph
pcalc775 Finding the maximum or minimum of a quadratic function
alge785 Word problem involving the maximum or minimum of a quadratic function
alge975 Domain and range from the graph of a parabola
pcalc762 Range of a quadratic function
alge957 Solving a quadratic equation by graphing
alge996 Comparing properties of quadratic functions given in different forms
alge702 Classifying the graph of a function
alge723 How the leading coefficient affects the shape of a parabola
alge965 Identifying linear, quadratic, and exponential functions given ordered pairs
alge262 Graphing a cubic function of the form y = ax3
fun019 Sum, difference, and product of two functions
fun022 Composition of two functions: Basic
pcalc776 Expressing a function as a composition of two functions
pcalc924 Determining whether an equation defines a function: Basic
pcalc757 Determining whether an equation defines a function: Advanced
B.7. INTRO. TO GEOMETRY
B.7
Intro. to Geometry
Algebra and Deductive Reasoning
arith048 Order of operations with whole numbers
arith051 Order of operations with whole numbers and grouping symbols
arith056 Factors
arith070 Least common multiple of 2 numbers
alge807 Finding the next terms of a sequence with whole numbers
arith212 Equivalent fractions
arith067 Simplifying a fraction
arith230 Addition or subtraction of fractions with different denominators
arith086 Product of a fraction and a whole number: Problem type 1
arith053 Fraction multiplication
arith022 Fraction division
arith663 Writing ratios for real-world situations
arith015 Writing an improper fraction as a mixed number
arith220 Decimal place value: Hundreds to ten thousandths
arith221 Rounding decimals
arith030 Finding a percentage of a whole number without a calculator: Basic
arith200 Integer addition: Problem type 1
arith108 Integer addition: Problem type 2
arith107 Integer subtraction
arith231 Integer multiplication and division
arith071 Absolute value of a number
alge005 Evaluating a linear expression: Integer multiplication with addition or subtraction
alge004 Evaluating a quadratic expression: Integers
alge016 Translating a sentence into a one-step equation
alge606 Distributive property: Whole number coefficients
alge607 Combining like terms: Integer coefficients
alge007 Additive property of equality: Problem type 3
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
alge011 Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution
alge019 Solving a linear inequality: Problem type 1
alge017 Graphing a linear inequality on the number line
alge166 Graphing a compound inequality on the number line
alge060 Solving a rational equation that simplifies to linear: Denominator x
alge272 Solving a proportion of the form x/a = b/c
alge271 Solving a proportion of the form a/(x+b) = c/x
arith610 Word problem on proportions: Problem type 1
arith047 Evaluating expressions with exponents: Problem type 1
arith016 Square root of a perfect square
arith093 Simplifying the square root of a whole number less than 100
alge086 Rationalizing the denominator of a radical expression
mstat042 Interpreting a Venn diagram of 2 sets
mstat043 Interpreting a Venn diagram of 3 sets
glogic001 Conditional statements and negations
glogic005 The converse, inverse, and contrapositive of a conditional statement
glogic008 Conditional statements and deductive reasoning
Lines and Angles
geom349 Naming segments, rays, and lines
mstat034 Measuring length to the nearest quarter or half inch
geom525 Computing distances between decimals on the number line
geom526 Midpoint of a number line segment
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APPENDIX B. SYLLABI IN ALEKS
geom521
geom616
geom614
geom358
geom154
geom150
geom157
geom835
geom836
geom151
geom152
geom303
geom039
geom304
geom800
geom500
geom503
geom159
geom158
geom850
geom851
geom611
Introduction to proofs: Justifying statements
Proofs involving segment congruence
Identifying parallel and perpendicular lines
Constructing the perpendicular bisector of a line segment
Constructing a pair of perpendicular lines
Constructing a pair of parallel lines
Introduction to proofs involving parallel lines
Proofs involving parallel lines
Measuring an angle with the protractor
Drawing an angle with the protractor
Acute, obtuse, and right angles
Finding supplementary and complementary angles
Identifying corresponding and alternate angles
Identifying linear pairs and vertical angles
Solving equations involving vertical angles and linear pairs
Solving equations involving angles and two pairs of parallel lines
Constructing congruent angles
Constructing an angle bisector
Angle addition with relationships between angles
Proofs involving angle congruence
Triangles
geom306
geom307
geom801
geom001
geom812
geom813
geom502
geom908
geom309
geom844
geom845
geom854
geom855
geom650
geom520
geom617
geom837
geom840
geom839
geom843
geom044
geom068
geom506
geom212
pcalc600
pcalc607
pcalc610
pcalc608
pcalc611
pcalc031
pcalc032
pcalc033
Acute, obtuse, and right triangles
Classifying scalene, isosceles, and equilateral triangles by side lengths or angles
Area of a triangle
Finding an angle measure of a triangle given two angles
Finding an angle measure given extended triangles
Finding an angle measure given a triangle and parallel lines
Finding angle measures of a right or isosceles triangle given angles with variables
Finding an angle measure for a triangle with an extended side
Finding an angle measure for a triangle sharing a side with another triangle
Using triangle inequality to determine if side lengths form a triangle
Using triangle inequality to determine possible lengths of a third side
Relationship between angle measures and side lengths in a triangle
Relationship between angle measures and side lengths in two triangles
Identifying and naming congruent triangles
Proofs involving congruent triangles and vertical angles or the reflexive property
Proofs involving congruent triangles and segment or angle bisectors
Proofs involving congruent triangles that overlap: Basic
Proofs involving congruent triangles, parallel or perpendicular segments, and CPCTC
Proofs involving congruent triangles that overlap: Advanced
Pythagorean Theorem
Computing an area using the Pythagorean Theorem
Circles inscribed in and circumscribed about regular polygons
Sine, cosine, and tangent ratios: Variables for side lengths
Using a trigonometric ratio to find a side length in a right triangle
Using trigonometry to find a length in a word problem with one right triangle
Using a trigonometric ratio to find an angle measure in a right triangle
Using trigonometry to find angles of elevation or depression in a word problem
Solving a triangle with the law of sines: Problem type 1
Solving a triangle with the law of sines: Problem type 2
Solving a triangle with the law of cosines
Polygons and Circles
B.7. INTRO. TO GEOMETRY
geom532 Classifying parallelograms
geom528 Finding measures involving diagonals of parallelograms
geom527 Conditions for parallelograms
geom833 Finding measures involving diagonals of rectangles
geom834 Finding measures involving diagonals of rhombi
geom852 The sum of interior angle measures in a convex polygon
geom853 Interior and exterior angle measures in a regular polygon
geom339 Perimeter of a polygon
geom300 Perimeter of a square or a rectangle
geom353 Perimeter of a piecewise rectangular figure
geom078 Sides of polygons having the same perimeter
geom817 Finding a side length given the perimeter and side lengths with variables
geom019 Area of a square or a rectangle
geom350 Distinguishing between the area and perimeter of a rectangle
geom351 Areas of rectangles with the same perimeter
geom340 Area of a piecewise rectangular figure
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
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
geom213 Area of a regular polygon
geom347 Introduction to a circle: Diameter, radius, and chord
geom343 Identifying central angles, inscribed angles, arcs, chords, and tangents of a circle
geom848 Tangents of a circle: Problem type 1
geom849 Tangents of a circle: Problem type 2
geom511 Lengths of chords, secants, and tangents
geom514 Inscribed angles of a circle
geom512 Central angles and inscribed angles of a circle
geom513 Angles of intersecting secants and tangents
geom814 Angle measure in a circle graph
geom218 Finding the radius or the diameter of a circle given its circumference
geom802 Circumference and area of a circle
geom301 Perimeter involving rectangles and circles
geom838 Circumference ratios
geom805 Arc length and area of a sector of a circle
geom036 Word problem involving the area between two concentric circles
geom302 Area involving rectangles and circles
geom211 Area involving rectangles and circles: Advanced problem
mstat011 Area as probability
Similarities and Transformations
geom359
geom360
geom037
geom510
geom038
geom507
geom337
geom846
geom847
geom357
geom330
geom331
geom332
geom333
Identifying congruent shapes on a grid
Identifying similar or congruent shapes on a grid
Similar polygons
Triangles and parallel lines
Similar right triangles
Right triangles and geometric mean
Indirect measurement
Computing ratios of side lengths, surface areas, and volumes for similar solids
Similar solids: Problem type 2
Identifying transformations
Translating a polygon
Using a translated point to find coordinates of other translated points
Reflecting a polygon over a vertical or horizontal line
Finding the coordinates of three points reflected over an axis
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APPENDIX B. SYLLABI IN ALEKS
geom334
geom335
geom815
geom831
geom336
Drawing lines of symmetry
Rotating a figure about the origin
Finding an angle of rotation
Rotational and point symmetries
Dilating a figure
Volumes and Surface Areas
geom830
geom354
geom311
geom505
geom090
geom033
geom035
geom086
geom841
geom092
geom133
geom348
geom219
geom816
geom345
geom031
geom091
geom034
geom338
geom842
Counting the cubes in a solid made of cubes
Volume of a rectangular prism made of unit cubes
Volume of a rectangular prism
Volume of a piecewise rectangular prism
Volume of a triangular prism
Volume of a pyramid
Volume of a cylinder
Volume of a cone: Exact answers in terms of pi
Volume of a sphere
Word problem involving the rate of filling or emptying a cylinder
Ratio of volumes
Vertices, edges, and faces of a solid
Nets of solids
Side views of a solid made of cubes
Surface area of a piecewise rectangular prism made of unit cubes
Surface area of a cube or a rectangular prism
Surface area of a triangular prism
Surface area of a cylinder: Exact answers in terms of pi
Surface area involving prisms or cylinders
Surface area of a sphere
Coordinate Geometry
alge067 Plotting a point in the coordinate plane
alge191 Midpoint of a line segment in the plane
alge132 Distance between two points in the plane: Exact answers
geom819 Finding coordinates of vertices of polygons
geom818 Finding the coordinates of a point to make a parallelogram
geom832 Area of quadrilaterals in the coordinate plane
alge197 Graphing a line given its x- and y-intercepts
alge194 Graphing a line given its equation in slope-intercept form
alge210 Finding x- and y-intercepts of a line given the equation: Advanced
alge195 Graphing a line given its equation in standard form
alge196 Graphing a line through a given point with a given slope
alge637 Determining the slope of a line given its graph
alge631 Finding the slope of a line given its equation
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
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
pcalc605 Graphing a circle given its equation in standard form
pcalc065 Writing an equation of a circle given its center and a point on the circle
pcalc066 Writing an equation of a circle given the endpoints of a diameter
geom858 Scalar multiplication of a vector: Geometric Approach
geom856 Vector addition and scalar multiplication: Component form
pcalc060 Magnitude of a vector given in component form
vector002 Finding the magnitude and direction of a vector given its graph
vector005 Finding the components of a vector given its graph
B.8. INTERMEDIATE ALGEBRA
pcalc063 Translation of a vector
pcalc038 Addition or subtraction of matrices
pcalc037 Scalar multiplication of a matrix
B.8
Intermediate Algebra
Real Numbers
arith687 Fractional position on a number line
arith829 Reading decimal position on a number line: Tenths
arith830 Reading decimal position on a number line: Hundredths
alge286 Plotting integers on a number line
arith605 Plotting rational numbers on a number line
arith691 Ordering integers
arith016 Square root of a perfect square
arith763 Using a calculator to approximate a square root
arith602 Estimating a square root
arith712 Ordering real numbers
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
arith754 Addition and subtraction with 3 integers
arith755 Addition and subtraction with 4 or 5 integers
arith701 Word problem with addition or subtraction of integers
arith231 Integer multiplication and division
arith800 Multiplication of 3 or 4 integers
arith711 Division involving zero
alge001 Identifying numbers as integers or non-integers
alge002 Identifying numbers as rational or irrational
arith070 Least common multiple of 2 numbers
arith116 Signed fraction addition or subtraction: Basic
arith864 Signed fraction subtraction involving double negation
arith811 Addition and subtraction of 3 fractions involving signs
arith822 Signed fraction multiplication: Basic
arith814 Signed fraction division
arith117 Signed decimal addition and subtraction
arith234 Signed decimal addition and subtraction with 3 numbers
arith750 Signed decimal multiplication
arith751 Signed decimal division
arith104 Operations with absolute value: Problem type 2
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
alge808 Evaluating a linear expression: Signed fraction multiplication with addition or subtraction
alge302 Evaluating a linear expression: Signed decimal addition and subtraction
alge303 Evaluating a linear expression: Signed decimal multiplication with addition or subtraction
alge700 Combining like terms: Whole number coefficients
alge607 Combining like terms: Integer coefficients
arith655 Introduction to properties of addition
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APPENDIX B. SYLLABI IN ALEKS
alge310 Multiplying a constant and a linear monomial
alge606 Distributive property: Whole number coefficients
alge604 Distributive property: Integer coefficients
arith656 Introduction to properties of multiplication
alge188 Properties of real numbers
alge608 Using distribution and combining like terms to simplify: Univariate
alge609 Using distribution with double negation and combining like terms to simplify: Multivariate
alge293 Combining like terms in a quadratic expression
geom300 Perimeter of a square or a rectangle
geom078 Sides of polygons having the same perimeter
geom019 Area of a square or a rectangle
geom620 Area of a rectangle involving fractions
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
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
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
geom622 Volume of a cone
geom841 Volume of a sphere
geom031 Surface area of a cube or a rectangular prism
geom091 Surface area of a triangular prism
geom621 Surface area of a cylinder
geom842 Surface area of a sphere
Linear Equations and Inequalities
alge800 Additive property of equality with decimals
alge010 Additive property of equality with integers
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
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
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
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
B.8. INTERMEDIATE ALGEBRA
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
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
alge272 Solving a proportion of the form x/a = b/c
alge840 Solving a proportion of the form (x+a)&divide;b = c&divide;d
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
mstat065 Converting between temperatures in Fahrenheit and Celsius
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
alge016 Translating a sentence into a one-step equation
alge841 Translating a sentence into a multi-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
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
alge730 Writing a multi-step equation for a real-world situation
alge794 Solving a value 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
geom217 Finding the side length of a rectangle given its perimeter or area
geom817 Finding a side length given the perimeter and side lengths with variables
geom143 Finding the perimeter or area of a rectangle given one of these values
geom838 Circumference ratios
geom530 Solving equations involving vertical angles
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
stat803 Finding the value for a new score that will yield a given mean
mstat049 Computing a percentage from a table of values
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
arith854 Computing a percent mixture
alge795 Solving a percent mixture problem using a linear equation
arith856 Finding a percentage of a total amount in a circle graph
stat801 Computations from a circle graph
arith232 Finding simple interest without a calculator
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
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APPENDIX B. SYLLABI IN ALEKS
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
set001 Set builder notation
set004 Set builder and interval notation
set002 Union and intersection of finite sets
set005 Union and intersection of intervals
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
alge858 Solving a linear inequality with multiple occurrences of the variable: Problem
alge859 Solving a linear inequality with multiple occurrences of the variable: Problem
alge860 Solving inequalities with no solution or all real numbers as solutions
alge746 Solving a compound linear inequality: Graph solution, basic
alge747 Solving a compound linear inequality: Interval notation
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
alge603 Introduction to solving an absolute value equation
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
alge167 Solving an absolute value equation of the form —ax+b— = —cx+d—
alge868 Solving an absolute value inequality: Problem type 1
alge943 Writing an absolute value inequality given a graph on the number line
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
Lines and Functions
alge064
alge067
alge850
alge873
alge066
alge877
alge878
alge879
alge880
alge198
alge884
alge924
alge210
alge197
alge881
alge875
alge886
Reading a point in the coordinate plane
Plotting a point in the coordinate plane
Table for a linear equation
Identifying solutions to a linear equation in two variables
Finding a solution to a linear equation in two variables
Graphing a linear equation of the form y = mx
Graphing a line given its equation in slope-intercept form: Integer slope
Graphing a line given its equation in slope-intercept form: Fractional slope
Graphing a line given its equation in standard form
Graphing a vertical or horizontal line
Finding x- and y-intercepts given the graph of a line on a grid
Finding x- and y-intercepts of a line given the equation: Basic
Finding x- and y-intercepts of a line given the equation: Advanced
Graphing a line given its x- and y-intercepts
Graphing a line by first finding its x- and y-intercepts
Classifying slopes given graphs of lines
Finding slope given the graph of a line on a grid
type 1
type 2
type 3
both sides
B.8. INTERMEDIATE ALGEBRA
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
alge259 Graphing a line given its slope and y-intercept
alge196 Graphing a line through a given point with a given slope
alge874 Identifying linear functions given ordered pairs
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
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
alge992 Combining functions to write a new function that models a real-world situation
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
mstat052 Identifying independent and dependent variables from equations or real-world situations
alge991 Solving a linear equation by graphing
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
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
fun030 Evaluating a piecewise-defined function
fun033 Variable expressions as inputs of functions: Problem type 1
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
fun024 Domain and range from the graph of a continuous function
fun025 Domain and range from the graph of a piecewise function
pcalc750 Finding intercepts of a nonlinear function given its graph
pcalc751 Finding where a function is increasing, decreasing, or constant given the graph: Interval notation
pcalc752 Finding local maxima and minima of a function given the graph
mstat018 Choosing a graph to fit a narrative: Basic
mstat051 Choosing a graph to fit a narrative: Advanced
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
alge913 Graphing an absolute value equation of the form y = A—x—
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APPENDIX B. SYLLABI IN ALEKS
alge954 Graphing a parabola of the form y = ax2
alge955 Graphing a parabola of the form y = ax2 + c
alge572 Graphing a function of the form f(x) = ax2
alge573 Graphing a function of the form f(x) = ax2 + c
alge262 Graphing a cubic function of the form y = ax3
fun031 Graphing a piecewise-defined function: Problem type 1
Systems of Linear Equations
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 2x2 system of linear equations that is inconsistent or consistent dependent
alge077 Creating an inconsistent system of linear equations
alge988 Identifying the operations used to create equivalent systems of equations
alge753 Solving a 3x3 system of linear equations: Problem type 1
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
alge192 Solving a percent mixture problem using a system of linear equations
alge224 Solving a distance, rate, time 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: Problem type 1
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
alge922 Graphing a system of three linear inequalities
alge729 Writing a multi-step inequality for a real-world situation
pcalc093 Solving a word problem using a system of linear inequalities: Problem type 1
pcalc095 Linear programming
pcalc094 Solving a word problem using linear programming
pcalc037 Scalar multiplication of a matrix
pcalc038 Addition or subtraction of matrices
pcalc740 Linear combination of matrices
pcalc042 Finding the determinant of a 2x2 matrix
pcalc043 Finding the determinant of a 3x3 matrix
pcalc045 Using Cramer’s rule to solve a 2x2 system of linear equations
pcalc047 Using Cramer’s rule to solve a 3x3 system of linear equations
pcalc712 Gauss-Jordan elimination with a 2x2 matrix
pcalc046 Solving a system of linear equations given its augmented matrix
Exponents and Polynomials
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
arith029 Ordering numbers with positive exponents
B.8. INTERMEDIATE ALGEBRA
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
alge756 Power and product rules with positive exponents
alge451 Simplifying a ratio of multivariate monomials: Basic
alge827 Introduction to the quotient rule of exponents
alge452 Simplifying a ratio of univariate monomials
alge026 Quotient of expressions involving exponents
alge453 Simplifying a ratio of multivariate monomials: Advanced
alge927 Power and quotient rules with positive exponents
alge790 Evaluating expressions with exponents of zero
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
alge961 Introduction to the product rule with negative exponents
alge028 Product rule with negative exponents
alge755 Quotient rule with negative exponents: Problem type 1
alge926 Quotient rule with negative exponents: Problem type 2
alge025 Power of a power rule with negative exponents
alge799 Power rules with negative 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
arith036 Scientific notation with positive exponent
arith037 Scientific notation with negative exponent
scinot012 Converting between scientific notation and standard form in a real-world situation
scinot008 Multiplying numbers written in scientific notation: Basic
scinot009 Multiplying numbers written in scientific notation: Advanced
scinot010 Dividing numbers written in scientific notation: Basic
scinot011 Dividing numbers written in scientific notation: Advanced
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
pcalc117 Synthetic division
pcalc786 Using the remainder theorem to evaluate a polynomial
alge985 Closure properties of integers and polynomials
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APPENDIX B. SYLLABI IN ALEKS
Factoring Polynomials
arith034 Prime numbers
arith035 Prime factorization
arith033 Greatest common factor of 2 numbers
alge605 Factoring a linear binomial
alge736 Introduction to the GCF of two monomials
alge930 Greatest common factor of three univariate monomials
alge037 Greatest common factor of two multivariate 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: GCF factoring, 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
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
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
alge041 Factoring a product of a quadratic trinomial and a monomial
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
alge046 Roots of a product of polynomials
alge163 Writing a quadratic equation given the roots and the leading coefficient
alge407 Introduction to the Pythagorean Theorem
geom044 Pythagorean Theorem
alge408 Word problem involving the Pythagorean Theorem
alge713 Using the Pythagorean Theorem and a quadratic equation to find side lengths of a right triangle
Rational Expressions
alge049
alge467
alge468
alge469
alge715
alge454
alge455
alge456
Restriction on a variable in a denominator: Linear
Restriction on a variable in a denominator: Quadratic
Evaluating a rational function: Problem type 1
Evaluating a rational function: Problem type 2
Domain of a rational function: Excluded values
Simplifying a ratio of factored polynomials: Linear factors
Simplifying a ratio of factored polynomials: Factors with exponents
Simplifying a ratio of polynomials using GCF factoring
B.8. INTERMEDIATE ALGEBRA
alge457 Simplifying a ratio of linear polynomials: 1, -1, and no simplification
alge458 Simplifying a ratio of polynomials by factoring a quadratic with leading coefficient 1
alge710 Simplifying a ratio of polynomials: Problem type 1
alge682 Simplifying a ratio of polynomials: Problem type 2
alge459 Simplifying a ratio of polynomials: Problem type 3
alge034 Simplifying a ratio of multivariate polynomials
alge053 Multiplying rational expressions involving multivariate monomials
alge460 Multiplying rational expressions made up of linear expressions
alge461 Multiplying rational expressions involving quadratics with leading coefficients greater than 1
alge462 Multiplying rational expressions involving multivariate quadratics
alge054 Dividing rational expressions involving multivariate monomials
alge463 Dividing rational expressions involving linear expressions
alge464 Dividing rational expressions involving quadratics with leading coefficients greater than 1
alge465 Dividing rational expressions involving multivariate quadratics
alge466 Multiplication and division of 3 rational expressions
alge737 Introduction to the LCM of two monomials
alge055 Least common multiple of two monomials
alge427 Finding the LCD of rational expressions with linear denominators: Relatively prime
alge428 Finding the LCD of rational expressions with linear denominators: Common factors
alge429 Finding the LCD of rational expressions with quadratic denominators
alge430 Writing equivalent rational expressions with monomial denominators
alge431 Writing equivalent rational expressions with polynomial denominators
alge304 Writing equivalent rational expressions involving opposite factors
alge432 Introduction to adding fractions with variables and common denominators
alge433 Adding rational expressions with common denominators and monomial numerators
alge056 Adding rational expressions with common denominators and binomial numerators
alge434 Adding rational expressions with common denominators and GCF factoring
alge436 Adding rational expressions with different denominators and a single occurrence of a variable
alge437 Adding rational expressions with denominators ax and bx: Basic
alge439 Adding rational expressions with denominators axn and bxm
alge440 Adding rational expressions with multivariate monomial denominators: Basic
alge441 Adding rational expressions with linear denominators without common factors: Basic
alge443 Adding rational expressions with linear denominators with common factors: Basic
alge445 Adding rational expressions with denominators ax-b and b-ax
arith695 Complex fraction without variables: Problem type 1
arith696 Complex fraction without variables: Problem type 2
alge470 Complex fraction involving univariate monomials
alge058 Complex fraction involving multivariate monomials
alge471 Complex fraction: GCF factoring
alge473 Complex fraction made of sums involving rational expressions: Problem type 1
alge474 Complex fraction made of sums involving rational expressions: Problem type 2
alge475 Complex fraction made of sums involving rational expressions: Problem type 3
alge476 Complex fraction made of sums involving rational expressions: Problem type 4
alge477 Complex fraction made of sums involving rational expressions: Problem type 5
alge478 Complex fraction made of sums involving rational expressions: Problem type 6
alge479 Complex fraction made of sums involving rational expressions: Multivariate
alge480 Complex fraction with negative exponents: Problem type 1
alge481 Complex fraction with negative exponents: Problem type 2
alge162 Complex fraction that contains a complex fraction
alge271 Solving a proportion of the form a/(x+b) = c/x
alge060 Solving a rational equation that simplifies to linear: Denominator x
alge205 Solving a rational equation that simplifies to linear: Denominator x+a
295
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APPENDIX B. SYLLABI IN ALEKS
alge769 Solving a rational equation that simplifies to linear: Denominators a, x, or ax
alge421 Solving a rational equation that simplifies to linear: Denominators ax and bx
alge422 Solving a rational equation that simplifies to linear: Like binomial denominators
alge206 Solving a rational equation that simplifies to linear: Unlike binomial denominators
alge423 Solving a rational equation that simplifies to linear: Factorable quadratic denominator
alge424 Solving a rational equation that simplifies to quadratic: Proportional form, basic
alge425 Solving a rational equation that simplifies to quadratic: Denominator x
alge212 Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators
alge062 Solving a rational equation that simplifies to quadratic: Binomial denominators and numerators
alge426 Solving a rational equation that simplifies to quadratic: Factorable quadratic denominator
alge047 Solving a rational equation that simplifies to quadratic: Proportional form, advanced
alge508 Solving for a variable in terms of other variables in a rational equation: Problem type 1
alge509 Solving for a variable in terms of other variables in a rational equation: Problem type 2
alge510 Solving for a variable in terms of other variables in a rational equation: Problem type 3
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
geom133 Ratio of volumes
arith612 Word problem involving multiple rates
alge770 Solving a work problem using a rational equation
alge450 Solving a distance, rate, time problem using a rational equation
alge059 Ordering fractions with variables
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
pcalc681 Writing an equation that models variation
alge772 Word problem on combined variation
pcalc917 Finding the asymptotes of a rational function: Constant over linear
pcalc918 Finding the asymptotes of a rational function: Linear over linear
alge515 Graphing a rational function: Constant over linear
alge516 Graphing a rational function: Linear over linear
alge413 Finding all square roots of a number
arith601 Square root of a rational perfect square
arith760 Square roots of perfect squares with signs
arith761 Square roots of integers raised to even exponents
alge415 Introduction to simplifying a radical expression with an even exponent
alge264 Square root of a perfect square monomial
alge537 Using absolute value to simplify square roots of perfect square monomials
arith094 Cube root of an integer
alge549 Finding nth roots of perfect nth powers with signs
arith768 Finding the nth root of a perfect nth power fraction
alge550 Finding the nth root of a perfect nth power monomial
alge538 Using absolute value to simplify higher radical expressions
alge539 Table for a square root function
alge546 Evaluating a cube root function
alge540 Domain of a square root function: Basic
pcalc763 Domain of a square root function: Advanced
alge547 Domains of higher root functions
B.8. INTERMEDIATE ALGEBRA
alge543 Graphing a square root function: Problem type 1
alge544 Graphing a square root function: Problem type 2
alge545 Graphing a square root function: Problem type 3
alge548 Graphing a cube root function
alge812 Converting between radical form and exponent form
alge560 Rational exponents: Unit fraction exponents and whole number bases
alge561 Rational exponents: Unit fraction exponents and bases involving signs
alge250 Rational exponents: Non-unit fraction exponent with a whole number base
alge251 Rational exponents: Negative exponents and fractional bases
alge558 Rational exponents: Product rule
alge559 Rational exponents: Quotient rule
alge773 Rational exponents: Products and quotients with negative exponents
alge562 Rational exponents: Power of a power rule
alge249 Rational exponents: Powers of powers with negative exponents
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
alge520 Introduction to simplifying a radical expression with an odd exponent
alge521 Simplifying a radical expression with an odd exponent
alge275 Simplifying a radical expression with two variables
alge273 Simplifying a higher root of a whole number
alge551 Introduction to simplifying a higher radical expression
alge552 Simplifying a higher radical expression: Univariate
alge811 Simplifying a higher radical expression: Multivariate
arith767 Introduction to square root addition or subtraction
arith032 Square root addition or subtraction
alge533 Square root addition or subtraction with three terms
alge531 Introduction to simplifying a sum or difference of radical expressions: Univariate
alge532 Simplifying a sum or difference of radical expressions: Univariate
alge084 Simplifying a sum or difference of radical expressions: Multivariate
alge554 Simplifying a sum or difference of higher roots
alge555 Simplifying a sum or difference of higher radical expressions
arith764 Introduction to square root multiplication
arith765 Square root multiplication: Basic
alge522 Introduction to simplifying a product of radical expressions: Univariate
alge523 Simplifying a product of radical expressions: Univariate
alge640 Simplifying a product of radical expressions: Multivariate
alge082 Simplifying a product of radical expressions: Multivariate, fractional expressions
alge556 Introduction to simplifying a product of higher roots
alge557 Simplifying a product of higher radical expressions
alge525 Introduction to simplifying a product involving square roots using the distributive property
alge526 Simplifying a product involving square roots using the distributive property: Basic
alge276 Simplifying a product involving square roots using the distributive property: Advanced
alge774 Special products of radical expressions: Conjugates and squaring
alge984 Classifying sums and products as rational or irrational
arith766 Simplifying a quotient of square roots
alge530 Simplifying a quotient involving a sum or difference with a square root
alge527 Rationalizing a denominator: Quotient involving square roots
alge528 Rationalizing a denominator: Square root of a fraction
alge529 Rationalizing a denominator: Quotient involving a monomial
alge534 Rationalizing a denominator using conjugates: Integer numerator
alge535 Rationalizing a denominator using conjugates: Square root in numerator
alge536 Rationalizing a denominator using conjugates: Variable in denominator
alge564 Rationalizing a denominator: Quotient involving a higher radical
alge775 Rationalizing a denominator: Quotient involving higher radicals and monomials
alge563 Simplifying products or quotients of higher radicals with different indices: Univariate
alge776 Simplifying products or quotients of higher radicals with different indices: Multivariate
alge400 Introduction to solving a radical equation
alge089 Solving a radical equation that simplifies to a linear equation: One radical, basic
alge090 Solving a radical equation that simplifies to a linear equation: Two radicals
297
298
APPENDIX B. SYLLABI IN ALEKS
alge405 Solving a radical equation with two radicals that simplifies to sqrt(x) = a
alge412 Algebraic symbol manipulation with radicals
alge542 Word problem involving radical equations: Basic
alge410 Solving an equation with a root index greater than 2: Problem type 1
alge417 Solving an equation with a root index greater than 2: Problem type 2
alge416 Solving an equation with exponent 1/a: Problem type 1
alge418 Solving an equation with exponent 1/a: Problem type 2
alge778 Using i to rewrite square roots of negative numbers
alge779 Simplifying a product and quotient involving square roots of negative numbers
pcalc048 Adding or subtracting complex numbers
pcalc049 Multiplying complex numbers
pcalc050 Dividing complex numbers
pcalc053 Simplifying a power of i
alge962 Solving an equation of the form x2 = a using the square root property
alge092 Solving a quadratic equation using the square root property: Exact answers, basic
alge094 Completing the square
pcalc051 Solving a quadratic equation with complex roots
alge214 Discriminant of a quadratic equation
alge193 Discriminant of a quadratic equation with parameter
alge524 Solving a word problem using a quadratic equation with irrational roots
alge093 Solving an equation using the odd-root property: Problem type 1
alge228 Solving an equation using the odd-root property: Problem type 2
alge781 Solving an equation that can be written in quadratic form: Problem type 1
alge782 Solving an equation that can be written in quadratic form: Problem type 2
alge230 Solving an equation with positive rational exponent
alge231 Solving an equation with negative rational exponent
alge974 Finding the vertex, x-intercepts, and axis of symmetry from the graph of a parabola
alge253 Graphing a parabola of the form y = (x-h)2 + k
alge569 Graphing a parabola of the form y = x2 + bx + c
pcalc746 Graphing a parabola of the form y = ax2 + bx + c: Integer coefficients
pcalc747 Graphing a parabola of the form y = ax2 + bx + c: Rational coefficients
alge277 Finding the x-intercept(s) and the vertex of a parabola
pcalc793 Using a graphing calculator to find the x-intercept(s) and vertex of a quadratic function
pcalc774 Rewriting a quadratic function to find the vertex of its graph
pcalc775 Finding the maximum or minimum of a quadratic function
alge785 Word problem involving the maximum or minimum of a quadratic function
alge975 Domain and range from the graph of a parabola
pcalc762 Range of a quadratic function
pcalc680 Writing the equation of a quadratic function given its graph
alge957 Solving a quadratic equation by graphing
alge996 Comparing properties of quadratic functions given in different forms
alge702 Classifying the graph of a function
alge723 How the leading coefficient affects the shape of a parabola
alge784 Solving a quadratic inequality written in factored form
pcalc676 Solving a polynomial inequality
alge783 Solving a rational inequality: Problem type 1
pcalc677 Solving a rational inequality: Problem type 2
B.8. INTERMEDIATE ALGEBRA
Function Operations and Inverses
alge953 Translating the graph of a parabola: One step
alge898 Translating the graph of an absolute value function: One step
alge899 Translating the graph of an absolute value function: Two steps
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
alge185 Writing an equation for a function after a vertical translation
fun020 Writing an equation for a function after a vertical and horizontal translation
fun019 Sum, difference, and product of two functions
alge786 Quotient of two functions: Basic
fun022 Composition of two functions: Basic
pcalc776 Expressing a function as a composition of two functions
fun021 Composition of two functions: Domain and range
alge129 Composition of two functions: Advanced
pcalc924 Determining whether an equation defines a function: Basic
pcalc757 Determining whether an equation defines a function: Advanced
fun011 Horizontal line test
pcalc777 Determining whether two functions are inverses of each other
fun012 Inverse functions: Linear, discrete
alge130 Inverse functions: Rational
Exponential and Logarithmic Functions
alge971 Table for an exponential function
alge969 Graphing an exponential function: f(x) = ax
alge970 Graphing an exponential function: f(x) = a(b)x
alge712 Graphing an exponential function and its asymptote: f(x) = a(b)x
pcalc922 Translating the graph of an exponential function
pcalc797 The graph, domain, and range of an exponential function
pcalc103 Graphing an exponential function and its asymptote: f(x) = a(e)x-b + c
alge830 Evaluating an exponential function that models a real-world situation
pcalc919 Evaluating an exponential function with base e that models a real-world situation
arith853 Introduction to compound interest
alge177 Finding a final amount in a word problem on exponential growth or decay
alge741 Finding the final amount in a word problem on compound interest
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
alge993 Comparing linear, polynomial, and exponential functions
alge108 Converting between logarithmic and exponential equations
pcalc799 Converting between natural logarithmic and exponential equations
alge232 Evaluating a logarithmic expression
alge233 Solving an equation of the form logba = c
pcalc923 Translating the graph of a logarithmic function
alge788 Graphing a logarithmic function: Basic
pcalc800 The graph, domain, and range of a logarithmic function
pcalc104 Graphing a logarithmic function: Advanced
pcalc708 Basic properties of logarithms
pcalc779 Expanding a logarithmic expression: Problem type 1
pcalc780 Expanding a logarithmic expression: Problem type 2
alge787 Writing an expression as a single logarithm
pcalc612 Change of base for logarithms: Problem type 1
pcalc613 Change of base for logarithms: Problem type 2
pcalc803 Solving a multi-step equation involving a single logarithm
pcalc804 Solving a multi-step equation involving natural logarithms
299
300
APPENDIX B. SYLLABI IN ALEKS
alge113 Solving an equation involving logarithms on both sides: Problem type 1
pcalc805 Solving an equation involving logarithms on both sides: Problem type 2
alge301 Solving an exponential equation by finding common bases: Linear exponents
alge482 Solving an exponential equation by finding common bases: Linear and quadratic exponents
pcalc920 Solving an exponential equation by using logarithms: Decimal answers, basic
pcalc921 Solving an exponential equation by using natural logarithms: Decimal answers
alge111 Solving an exponential equation by using logarithms: Exact answers in logarithmic form
pcalc806 Using a graphing calculator to solve an exponential or logarithmic equation
alge178 Finding the time to reach a limit in a word problem on exponential growth or decay
pcalc614 Finding the initial or final amount in a word problem on exponential growth or decay
pcalc615 Finding the rate or time in a word problem on continuous exponential growth or decay
Conic Sections and Sequences
alge191 Midpoint of a line segment in the plane
alge414 Finding an endpoint of a line segment given the other endpoint and the midpoint
alge132 Distance between two points in the plane: Exact answers
pcalc067 Graphing a parabola of the form ay2 + by + cx + d = 0 or ax2 + bx + cy + d = 0
pcalc068 Writing an equation of a parabola given the vertex and the focus
pcalc069 Finding the focus of a parabola of the form ay2 + by + cx + d = 0 or ax2 + bx + cy + d = 0
pcalc605 Graphing a circle given its equation in standard form
pcalc128 Graphing a circle given its equation in general form: Basic
pcalc129 Graphing a circle given its equation in general form: Advanced
pcalc065 Writing an equation of a circle given its center and a point on the circle
pcalc066 Writing an equation of a circle given the endpoints of a diameter
pcalc734 Graphing an ellipse given its equation in standard form
pcalc070 Graphing an ellipse centered at the origin: Ax2 + By2 = C
pcalc071 Graphing an ellipse given its equation in general form
pcalc735 Graphing a hyperbola given its equation in standard form
pcalc075 Graphing a hyperbola centered at the origin: Ax2 - By2 - C = 0
pcalc076 Graphing a hyperbola given its equation in general form
pcalc736 Classifying conics given their equations
alge994 Graphically solving a system of linear and quadratic equations
pcalc796 Using a graphing calculator to solve a system of equations
alge995 Solving a system of linear and quadratic equations
pcalc098 Solving a system of nonlinear equations: Problem type 1
pcalc748 Graphing a quadratic inequality: Problem type 1
pcalc749 Graphing a quadratic inequality: Problem type 2
pcalc096 Graphing a system of nonlinear inequalities: Problem type 1
pcalc097 Graphing a system of nonlinear inequalities: Problem type 2
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
pcalc080 Finding the first terms of a sequence using an explicit rule with multiple occurrences of n
alge906 Finding the next terms of an arithmetic sequence with integers
alge908 Finding the first terms of a sequence using a recursive rule
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
pcalc715 Finding a specified term of an arithmetic sequence given two terms of the sequence
alge909 Writing an explicit rule for an arithmetic sequence
alge910 Writing a recursive rule for an arithmetic sequence
pcalc718 Sum of the first n terms of 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
pcalc717 Finding a specified term of a geometric sequence given two terms of the sequence
pcalc713 Arithmetic and geometric sequences: Identifying and writing an explicit rule
alge911 Writing recursive rules for arithmetic and geometric sequences
B.9. BEGINNING AND INTERMEDIATE ALGEBRA COMBINED
pcalc719 Sum of the first n terms of a geometric sequence
pcalc720 Sum of an infinite geometric series
alge965 Identifying linear, quadratic, and exponential functions given ordered pairs
pcalc082 Factorial expressions
pcalc087 Binomial formula
B.9
Beginning and Intermediate Algebra Combined
arith692 Writing expressions using exponents
arith233 Introduction to exponents
arith683 Power of 10: Positive exponent
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
alge285 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
arith804 Least common multiple of 3 numbers
arith240 Word problem with common multiples
arith064 Solving a word problem on proportions using a unit rate
arith212 Equivalent fractions
arith067 Simplifying a fraction
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
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
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
arith813 Multiplication of 3 fractions
arith821 Exponents and 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
arith819 Word problem involving fractions and division
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
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
arith806 Addition or subtraction of mixed numbers with different denominators and no carry or borrow
301
302
APPENDIX B. SYLLABI IN ALEKS
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
arith110 Decimal place value: Tenths and hundredths
arith221 Rounding decimals
arith718 Converting a decimal to a proper fraction in simplest form: Basic
arith087 Converting a decimal to a proper fraction in simplest form: Advanced
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
arith013 Decimal addition with 3 numbers
arith735 Decimal subtraction: Basic
arith737 Decimal addition and subtraction with 3 or more numbers
arith131 Estimating a decimal sum or difference
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
arith017 Multiplication of a decimal by a whole number
arith055 Decimal multiplication: Problem type 1
arith082 Multiplication of a decimal by a power of ten
arith752 Estimating a product of decimals
arith753 Squaring decimal bases: Products greater than 0.1
arith741 Exponents and decimals: Products less than 0.1
arith137 Word problem with multiplication of two decimals
arith224 Word problem with decimal addition and multiplication
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
arith138 Word problem with division of two decimals
arith227 Word problem with decimal subtraction and division
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
arith111 Converting a mixed number to a terminating decimal: Basic
arith112 Converting a mixed number to a terminating decimal: Advanced
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
arith836 Converting a fraction with a denominator of 100 to a percentage
arith837 Converting a percentage to a fraction with a denominator of 100
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
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
mstat003 Mode of a data set
arith103 Average of two numbers
mstat001 Mean of a data set
mstat028 Mean and median of a data set
B.9. BEGINNING AND INTERMEDIATE ALGEBRA COMBINED
mstat066 Weighted mean
mstat024 Interpreting a bar graph
mstat007 Interpreting a line graph
geom339 Perimeter of a polygon
geom300 Perimeter of a square or a rectangle
geom618 Perimeter of a polygon involving mixed numbers and fractions
geom078 Sides of polygons having the same perimeter
geom019 Area of a square or a rectangle
geom350 Distinguishing between the area and perimeter of a rectangle
geom620 Area of a rectangle involving fractions
geom619 Area of a rectangle involving mixed numbers and fractions
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
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
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
geom622 Volume of a cone
geom841 Volume of a sphere
geom031 Surface area of a cube or a rectangular prism
geom091 Surface area of a triangular prism
geom621 Surface area of a cylinder
geom842 Surface area of a sphere
geom303 Acute, obtuse, and right angles
geom039 Finding supplementary and complementary angles
geom306 Acute, obtuse, and right triangles
geom307 Classifying scalene, isosceles, and equilateral triangles by side lengths or angles
Real Numbers and Algebraic Expressions
arith687 Fractional position on a number line
arith829 Reading decimal position on a number line: Tenths
arith830 Reading decimal position on a number line: Hundredths
alge286 Plotting integers on a number line
arith605 Plotting rational numbers on a number line
arith699 Writing a signed number for a real-world situation
arith092 Using a common denominator to order fractions
arith129 Introduction to ordering decimals
arith608 Ordering decimals
arith609 Ordering fractions and decimals
arith691 Ordering integers
arith016 Square root of a perfect square
arith763 Using a calculator to approximate a square root
arith602 Estimating a square root
arith712 Ordering real numbers
arith071 Absolute value of a number
arith200 Integer addition: Problem type 1
arith108 Integer addition: Problem type 2
arith688 Integer subtraction: Problem type 1
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304
APPENDIX B. SYLLABI IN ALEKS
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
arith701 Word problem with addition or subtraction of integers
arith231 Integer multiplication and division
arith800 Multiplication of 3 or 4 integers
arith711 Division involving zero
alge001 Identifying numbers as integers or non-integers
alge002 Identifying numbers as rational or irrational
arith116 Signed fraction addition or subtraction: Basic
arith864 Signed fraction subtraction involving double negation
arith811 Addition and subtraction of 3 fractions involving signs
arith822 Signed fraction multiplication: Basic
arith814 Signed fraction division
arith117 Signed decimal addition and subtraction
arith234 Signed decimal addition and subtraction with 3 numbers
arith750 Signed decimal multiplication
arith751 Signed decimal division
arith104 Operations with absolute value: Problem type 2
geom525 Computing distances between decimals on the number line
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
alge808 Evaluating a linear expression: Signed fraction multiplication with addition or subtraction
alge302 Evaluating a linear expression: Signed decimal addition and subtraction
alge303 Evaluating a linear expression: Signed decimal multiplication with addition or subtraction
alge700 Combining like terms: Whole number coefficients
alge607 Combining like terms: Integer coefficients
arith655 Introduction to properties of addition
arith657 Understanding the distributive property
alge310 Multiplying a constant and a linear monomial
alge606 Distributive property: Whole number coefficients
alge604 Distributive property: Integer coefficients
arith656 Introduction to properties of multiplication
alge188 Properties of real numbers
alge608 Using distribution and combining like terms to simplify: Univariate
alge609 Using distribution with double negation and combining like terms to simplify: Multivariate
alge293 Combining like terms in a quadratic expression
Linear Equations and Inequalities
alge009
alge801
alge800
alge010
alge836
alge008
alge820
alge825
alge797
alge012
alge834
Additive property of equality with whole numbers
Additive property of equality with fractions and mixed numbers
Additive property of equality with decimals
Additive property of equality with integers
Additive property of equality with signed fractions
Multiplicative property of equality with whole numbers
Multiplicative property of equality with fractions
Multiplicative property of equality with decimals
Multiplicative property of equality with integers
Multiplicative property of equality with signed fractions
Identifying solutions to a linear equation in one variable: Two-step equations
B.9. BEGINNING AND INTERMEDIATE ALGEBRA COMBINED
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
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
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
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
alge272 Solving a proportion of the form x/a = b/c
alge840 Solving a proportion of the form (x+a)&divide;b = c&divide;d
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
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
alge016 Translating a sentence into a one-step equation
alge841 Translating a sentence into a multi-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
alge173 Solving a decimal word problem using a linear equation of the form Ax + B = C
alge730 Writing a multi-step equation for a real-world situation
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
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
mstat065 Converting between temperatures in Fahrenheit and Celsius
geom217 Finding the side length of a rectangle given its perimeter or area
geom817 Finding a side length given the perimeter and side lengths with variables
geom143 Finding the perimeter or area of a rectangle given one of these values
geom218 Finding the radius or the diameter of a circle given its circumference
geom530 Solving equations involving vertical angles
geom001 Finding an angle measure of a triangle given two angles
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
geom812 Finding an angle measure given extended triangles
geom813 Finding an angle measure given a triangle and parallel lines
305
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APPENDIX B. SYLLABI IN ALEKS
stat803 Finding the value for a new score that will yield a given mean
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
mstat049 Computing a percentage from a table of values
arith850 Finding the rate of a tax or commission
arith849 Finding the total amount given the percentage of a partial amount
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
arith854 Computing a percent mixture
alge795 Solving a percent mixture problem using a linear equation
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
arith232 Finding simple interest without a calculator
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
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
set001 Set builder notation
set004 Set builder and interval notation
set002 Union and intersection of finite sets
set005 Union and intersection of intervals
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: Graph solution, basic
alge747 Solving a compound linear inequality: Interval notation
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
alge603 Introduction to solving an absolute value equation
alge864 Solving an absolute value equation: Problem type 1
B.9. BEGINNING AND INTERMEDIATE ALGEBRA COMBINED
alge865
alge866
alge867
alge167
alge868
alge943
alge869
alge870
alge871
alge872
Solving an absolute value equation: Problem type 2
Solving an absolute value equation: Problem type 3
Solving an absolute value equation: Problem type 4
Solving an absolute value equation of the form —ax+b— = —cx+d—
Solving an absolute value inequality: Problem type 1
Writing an absolute value inequality given a graph on the number line
Solving an absolute value inequality: Problem type 2
Solving an absolute value inequality: Problem type 3
Solving an absolute value inequality: Problem type 4
Solving an absolute value inequality: Problem type 5
Lines and Functions
alge064 Reading a point in the coordinate plane
alge067 Plotting a point in the coordinate plane
alge850 Table for a linear equation
alge873 Identifying solutions to a linear equation in two variables
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
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
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
alge259 Graphing a line given its slope and y-intercept
alge196 Graphing a line through a given point with a given slope
alge874 Identifying linear functions given ordered pairs
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
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
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
alge992 Combining functions to write a new function that models a real-world situation
alge987 Comparing properties of linear functions given in different forms
alge989 Interpreting the parameters of a linear function that models a real-world situation
307
308
APPENDIX B. SYLLABI IN ALEKS
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
mstat052 Identifying independent and dependent variables from equations or real-world situations
alge991 Solving a linear equation by graphing
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
mstat069 Computing residuals
mstat070 Interpreting residual plots
mstat071 Linear relationship and the correlation coefficient
mstat074 Identifying correlation and causation
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
fun030 Evaluating a piecewise-defined function
fun033 Variable expressions as inputs of functions: Problem type 1
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
fun024 Domain and range from the graph of a continuous function
fun025 Domain and range from the graph of a piecewise function
pcalc750 Finding intercepts of a nonlinear function given its graph
pcalc751 Finding where a function is increasing, decreasing, or constant given the graph: Interval notation
pcalc752 Finding local maxima and minima of a function given the graph
mstat018 Choosing a graph to fit a narrative: Basic
mstat051 Choosing a graph to fit a narrative: Advanced
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
alge913 Graphing an absolute value equation of the form y = A—x—
alge954 Graphing a parabola of the form y = ax2
alge955 Graphing a parabola of the form y = ax2 + c
alge572 Graphing a function of the form f(x) = ax2
alge573 Graphing a function of the form f(x) = ax2 + c
alge262 Graphing a cubic function of the form y = ax3
fun031 Graphing a piecewise-defined function: Problem type 1
Systems of Linear Equations
alge914
alge075
alge725
alge751
alge915
alge076
alge916
alge917
alge752
alge077
alge988
alge753
alge263
Identifying solutions to a system of linear equations
Classifying systems of linear equations from graphs
Graphically solving a system of linear equations
Solving a system of linear equations using substitution
Solving a system of linear equations using elimination with addition
Solving a system of linear equations using elimination with multiplication and addition
Solving a system of linear equations with fractional coefficients
Solving a system of linear equations with decimal coefficients
Solving a 2x2 system of linear equations that is inconsistent or consistent dependent
Creating an inconsistent system of linear equations
Identifying the operations used to create equivalent systems of equations
Solving a 3x3 system of linear equations: Problem type 1
Interpreting the graphs of two functions
B.9. BEGINNING AND INTERMEDIATE ALGEBRA COMBINED
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
alge192 Solving a percent mixture problem using a system of linear equations
alge224 Solving a distance, rate, time 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: Problem type 1
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
alge922 Graphing a system of three linear inequalities
alge729 Writing a multi-step inequality for a real-world situation
pcalc093 Solving a word problem using a system of linear inequalities: Problem type 1
pcalc095 Linear programming
pcalc094 Solving a word problem using linear programming
pcalc037 Scalar multiplication of a matrix
pcalc038 Addition or subtraction of matrices
pcalc740 Linear combination of matrices
pcalc042 Finding the determinant of a 2x2 matrix
pcalc043 Finding the determinant of a 3x3 matrix
pcalc045 Using Cramer’s rule to solve a 2x2 system of linear equations
pcalc047 Using Cramer’s rule to solve a 3x3 system of linear equations
pcalc712 Gauss-Jordan elimination with a 2x2 matrix
pcalc046 Solving a system of linear equations given its augmented matrix
Exponents and Polynomials
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
arith029 Ordering numbers with positive exponents
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
alge756 Power and product rules with positive exponents
alge451 Simplifying a ratio of multivariate monomials: Basic
alge827 Introduction to the quotient rule of exponents
alge452 Simplifying a ratio of univariate monomials
alge026 Quotient of expressions involving exponents
alge453 Simplifying a ratio of multivariate monomials: Advanced
alge927 Power and quotient rules with positive exponents
alge790 Evaluating expressions with exponents of zero
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
alge961 Introduction to the product rule with negative exponents
alge028 Product rule with negative exponents
alge755 Quotient rule with negative exponents: Problem type 1
alge926 Quotient rule with negative exponents: Problem type 2
alge025 Power of a power rule with negative exponents
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310
APPENDIX B. SYLLABI IN ALEKS
alge799 Power rules with negative 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
arith036 Scientific notation with positive exponent
arith037 Scientific notation with negative exponent
scinot012 Converting between scientific notation and standard form in a real-world situation
scinot008 Multiplying numbers written in scientific notation: Basic
scinot009 Multiplying numbers written in scientific notation: Advanced
scinot010 Dividing numbers written in scientific notation: Basic
scinot011 Dividing numbers written in scientific notation: Advanced
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
pcalc117 Synthetic division
pcalc786 Using the remainder theorem to evaluate a polynomial
alge985 Closure properties of integers and polynomials
alge605 Factoring a linear binomial
alge736 Introduction to the GCF of two monomials
alge930 Greatest common factor of three univariate monomials
alge037 Greatest common factor of two multivariate 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: GCF factoring, 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
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
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
B.9. BEGINNING AND INTERMEDIATE ALGEBRA COMBINED
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
alge041 Factoring a product of a quadratic trinomial and a monomial
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
alge046 Roots of a product of polynomials
alge163 Writing a quadratic equation given the roots and the leading coefficient
alge407 Introduction to the Pythagorean Theorem
geom044 Pythagorean Theorem
alge408 Word problem involving the Pythagorean Theorem
alge713 Using the Pythagorean Theorem and a quadratic equation to find side lengths of a right triangle
Rational Expressions
alge049
alge467
alge468
alge469
alge715
alge454
alge455
alge456
alge457
alge458
alge710
alge682
alge459
alge034
alge053
alge460
alge620
alge461
alge462
alge054
alge463
alge766
alge464
alge465
alge466
alge737
alge055
alge427
alge428
alge429
alge430
alge431
alge304
alge432
alge433
alge056
alge434
alge435
alge436
Restriction on a variable in a denominator: Linear
Restriction on a variable in a denominator: Quadratic
Evaluating a rational function: Problem type 1
Evaluating a rational function: Problem type 2
Domain of a rational function: Excluded values
Simplifying a ratio of factored polynomials: Linear factors
Simplifying a ratio of factored polynomials: Factors with exponents
Simplifying a ratio of polynomials using GCF factoring
Simplifying a ratio of linear polynomials: 1, -1, and no simplification
Simplifying a ratio of polynomials by factoring a quadratic with leading coefficient 1
Simplifying a ratio of polynomials: Problem type 1
Simplifying a ratio of polynomials: Problem type 2
Simplifying a ratio of polynomials: Problem type 3
Simplifying a ratio of multivariate polynomials
Multiplying rational expressions involving multivariate monomials
Multiplying rational expressions made up of linear expressions
Multiplying rational expressions involving multivariate quadratics
Dividing rational expressions involving multivariate monomials
Dividing rational expressions involving linear expressions
Dividing rational expressions involving multivariate quadratics
Multiplication and division of 3 rational expressions
Introduction to the LCM of two monomials
Least common multiple of two monomials
Finding the LCD of rational expressions with linear denominators: Relatively prime
Finding the LCD of rational expressions with linear denominators: Common factors
Finding the LCD of rational expressions with quadratic denominators
Writing equivalent rational expressions with monomial denominators
Writing equivalent rational expressions with polynomial denominators
Writing equivalent rational expressions involving opposite factors
Introduction to adding fractions with variables and common denominators
Adding rational expressions with common denominators and monomial numerators
Adding rational expressions with common denominators and binomial numerators
Adding rational expressions with common denominators and GCF factoring
Adding rational expressions with different denominators and a single occurrence of a variable
311
312
APPENDIX B. SYLLABI IN ALEKS
alge437 Adding rational expressions with denominators ax and bx: Basic
alge439 Adding rational expressions with denominators axn and bxm
alge440 Adding rational expressions with multivariate monomial denominators: Basic
alge441 Adding rational expressions with linear denominators without common factors: Basic
alge443 Adding rational expressions with linear denominators with common factors: Basic
alge445 Adding rational expressions with denominators ax-b and b-ax
arith695 Complex fraction without variables: Problem type 1
arith696 Complex fraction without variables: Problem type 2
alge470 Complex fraction involving univariate monomials
alge058 Complex fraction involving multivariate monomials
alge471 Complex fraction: GCF factoring
alge473 Complex fraction made of sums involving rational expressions: Problem type 1
alge474 Complex fraction made of sums involving rational expressions: Problem type 2
alge475 Complex fraction made of sums involving rational expressions: Problem type 3
alge476 Complex fraction made of sums involving rational expressions: Problem type 4
alge477 Complex fraction made of sums involving rational expressions: Problem type 5
alge478 Complex fraction made of sums involving rational expressions: Problem type 6
alge479 Complex fraction made of sums involving rational expressions: Multivariate
alge480 Complex fraction with negative exponents: Problem type 1
alge481 Complex fraction with negative exponents: Problem type 2
alge162 Complex fraction that contains a complex fraction
alge271 Solving a proportion of the form a/(x+b) = c/x
alge060 Solving a rational equation that simplifies to linear: Denominator x
alge205 Solving a rational equation that simplifies to linear: Denominator x+a
alge769 Solving a rational equation that simplifies to linear: Denominators a, x, or ax
alge421 Solving a rational equation that simplifies to linear: Denominators ax and bx
alge422 Solving a rational equation that simplifies to linear: Like binomial denominators
alge206 Solving a rational equation that simplifies to linear: Unlike binomial denominators
alge423 Solving a rational equation that simplifies to linear: Factorable quadratic denominator
alge424 Solving a rational equation that simplifies to quadratic: Proportional form, basic
alge425 Solving a rational equation that simplifies to quadratic: Denominator x
alge212 Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators
alge062 Solving a rational equation that simplifies to quadratic: Binomial denominators and numerators
alge426 Solving a rational equation that simplifies to quadratic: Factorable quadratic denominator
alge047 Solving a rational equation that simplifies to quadratic: Proportional form, advanced
arith823 Writing ratios using different notations
arith663 Writing ratios for real-world situations
arith824 Simplifying a ratio of whole numbers: Problem type 1
arith826 Simplifying a ratio of whole numbers: Problem type 2
arith825 Simplifying a ratio of decimals
arith827 Finding a unit price
arith828 Computing unit prices to find the better buy
arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers
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
alge508 Solving for a variable in terms of other variables in a rational equation: Problem type 1
alge509 Solving for a variable in terms of other variables in a rational equation: Problem type 2
alge510 Solving for a variable in terms of other variables in a rational equation: Problem type 3
arith610 Word problem on proportions: Problem type 1
arith611 Word problem on proportions: Problem type 2
geom037 Similar polygons
geom038 Similar right triangles
B.9. BEGINNING AND INTERMEDIATE ALGEBRA COMBINED
geom337 Indirect measurement
geom838 Circumference ratios
geom133 Ratio of volumes
arith612 Word problem involving multiple rates
alge770 Solving a work problem using a rational equation
alge450 Solving a distance, rate, time problem using a rational equation
alge059 Ordering fractions with variables
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
pcalc681 Writing an equation that models variation
alge772 Word problem on combined variation
pcalc917 Finding the asymptotes of a rational function: Constant over linear
pcalc918 Finding the asymptotes of a rational function: Linear over linear
alge515 Graphing a rational function: Constant over linear
alge516 Graphing a rational function: Linear over linear
alge413 Finding all square roots of a number
arith601 Square root of a rational perfect square
arith760 Square roots of perfect squares with signs
arith761 Square roots of integers raised to even exponents
alge415 Introduction to simplifying a radical expression with an even exponent
alge264 Square root of a perfect square monomial
alge537 Using absolute value to simplify square roots of perfect square monomials
arith094 Cube root of an integer
alge549 Finding nth roots of perfect nth powers with signs
arith768 Finding the nth root of a perfect nth power fraction
alge550 Finding the nth root of a perfect nth power monomial
alge538 Using absolute value to simplify higher radical expressions
alge539 Table for a square root function
alge546 Evaluating a cube root function
alge540 Domain of a square root function: Basic
pcalc763 Domain of a square root function: Advanced
alge547 Domains of higher root functions
alge543 Graphing a square root function: Problem type 1
alge544 Graphing a square root function: Problem type 2
alge545 Graphing a square root function: Problem type 3
alge548 Graphing a cube root function
alge812 Converting between radical form and exponent form
alge560 Rational exponents: Unit fraction exponents and whole number bases
alge561 Rational exponents: Unit fraction exponents and bases involving signs
alge250 Rational exponents: Non-unit fraction exponent with a whole number base
alge251 Rational exponents: Negative exponents and fractional bases
alge558 Rational exponents: Product rule
alge559 Rational exponents: Quotient rule
alge773 Rational exponents: Products and quotients with negative exponents
alge562 Rational exponents: Power of a power rule
alge249 Rational exponents: Powers of powers with negative exponents
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
313
314
APPENDIX B. SYLLABI IN ALEKS
alge520 Introduction to simplifying a radical expression with an odd exponent
alge521 Simplifying a radical expression with an odd exponent
alge275 Simplifying a radical expression with two variables
alge273 Simplifying a higher root of a whole number
alge551 Introduction to simplifying a higher radical expression
alge552 Simplifying a higher radical expression: Univariate
alge811 Simplifying a higher radical expression: Multivariate
arith767 Introduction to square root addition or subtraction
arith032 Square root addition or subtraction
alge533 Square root addition or subtraction with three terms
alge531 Introduction to simplifying a sum or difference of radical expressions: Univariate
alge532 Simplifying a sum or difference of radical expressions: Univariate
alge084 Simplifying a sum or difference of radical expressions: Multivariate
alge554 Simplifying a sum or difference of higher roots
alge555 Simplifying a sum or difference of higher radical expressions
arith764 Introduction to square root multiplication
arith765 Square root multiplication: Basic
alge522 Introduction to simplifying a product of radical expressions: Univariate
alge523 Simplifying a product of radical expressions: Univariate
alge640 Simplifying a product of radical expressions: Multivariate
alge082 Simplifying a product of radical expressions: Multivariate, fractional expressions
alge556 Introduction to simplifying a product of higher roots
alge557 Simplifying a product of higher radical expressions
alge525 Introduction to simplifying a product involving square roots using the distributive property
alge526 Simplifying a product involving square roots using the distributive property: Basic
alge276 Simplifying a product involving square roots using the distributive property: Advanced
alge774 Special products of radical expressions: Conjugates and squaring
alge984 Classifying sums and products as rational or irrational
arith766 Simplifying a quotient of square roots
alge530 Simplifying a quotient involving a sum or difference with a square root
alge527 Rationalizing a denominator: Quotient involving square roots
alge528 Rationalizing a denominator: Square root of a fraction
alge529 Rationalizing a denominator: Quotient involving a monomial
alge534 Rationalizing a denominator using conjugates: Integer numerator
alge535 Rationalizing a denominator using conjugates: Square root in numerator
alge536 Rationalizing a denominator using conjugates: Variable in denominator
alge564 Rationalizing a denominator: Quotient involving a higher radical
alge775 Rationalizing a denominator: Quotient involving higher radicals and monomials
alge563 Simplifying products or quotients of higher radicals with different indices: Univariate
alge776 Simplifying products or quotients of higher radicals with different indices: Multivariate
alge400 Introduction to solving a radical equation
alge089 Solving a radical equation that simplifies to a linear equation: One radical, basic
alge090 Solving a radical equation that simplifies to a linear equation: Two radicals
alge405 Solving a radical equation with two radicals that simplifies to sqrt(x) = a
alge412 Algebraic symbol manipulation with radicals
alge542 Word problem involving radical equations: Basic
alge410 Solving an equation with a root index greater than 2: Problem type 1
alge417 Solving an equation with a root index greater than 2: Problem type 2
alge416 Solving an equation with exponent 1/a: Problem type 1
alge418 Solving an equation with exponent 1/a: Problem type 2
alge778 Using i to rewrite square roots of negative numbers
alge779 Simplifying a product and quotient involving square roots of negative numbers
pcalc048 Adding or subtracting complex numbers
pcalc049 Multiplying complex numbers
pcalc050 Dividing complex numbers
B.9. BEGINNING AND INTERMEDIATE ALGEBRA COMBINED
pcalc053 Simplifying a power of i
alge962 Solving an equation of the form x2 = a using the square root property
alge092 Solving a quadratic equation using the square root property: Exact answers, basic
alge094 Completing the square
pcalc051 Solving a quadratic equation with complex roots
alge214 Discriminant of a quadratic equation
alge193 Discriminant of a quadratic equation with parameter
alge524 Solving a word problem using a quadratic equation with irrational roots
alge093 Solving an equation using the odd-root property: Problem type 1
alge228 Solving an equation using the odd-root property: Problem type 2
alge781 Solving an equation that can be written in quadratic form: Problem type 1
alge782 Solving an equation that can be written in quadratic form: Problem type 2
alge230 Solving an equation with positive rational exponent
alge231 Solving an equation with negative rational exponent
alge974 Finding the vertex, x-intercepts, and axis of symmetry from the graph of a parabola
alge253 Graphing a parabola of the form y = (x-h)2 + k
alge569 Graphing a parabola of the form y = x2 + bx + c
pcalc746 Graphing a parabola of the form y = ax2 + bx + c: Integer coefficients
pcalc747 Graphing a parabola of the form y = ax2 + bx + c: Rational coefficients
alge277 Finding the x-intercept(s) and the vertex of a parabola
pcalc793 Using a graphing calculator to find the x-intercept(s) and vertex of a quadratic function
pcalc774 Rewriting a quadratic function to find the vertex of its graph
pcalc775 Finding the maximum or minimum of a quadratic function
alge785 Word problem involving the maximum or minimum of a quadratic function
alge975 Domain and range from the graph of a parabola
pcalc762 Range of a quadratic function
pcalc680 Writing the equation of a quadratic function given its graph
alge957 Solving a quadratic equation by graphing
alge996 Comparing properties of quadratic functions given in different forms
alge702 Classifying the graph of a function
alge723 How the leading coefficient affects the shape of a parabola
alge784 Solving a quadratic inequality written in factored form
pcalc676 Solving a polynomial inequality
alge783 Solving a rational inequality: Problem type 1
pcalc677 Solving a rational inequality: Problem type 2
Function Operations and Inverses
alge953 Translating the graph of a parabola: One step
alge898 Translating the graph of an absolute value function: One step
alge899 Translating the graph of an absolute value function: Two steps
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
alge185 Writing an equation for a function after a vertical translation
fun020 Writing an equation for a function after a vertical and horizontal translation
fun019 Sum, difference, and product of two functions
alge786 Quotient of two functions: Basic
fun022 Composition of two functions: Basic
315
316
APPENDIX B. SYLLABI IN ALEKS
pcalc776 Expressing a function as a composition of two functions
fun021 Composition of two functions: Domain and range
alge129 Composition of two functions: Advanced
pcalc924 Determining whether an equation defines a function: Basic
pcalc757 Determining whether an equation defines a function: Advanced
fun011 Horizontal line test
pcalc777 Determining whether two functions are inverses of each other
fun012 Inverse functions: Linear, discrete
alge130 Inverse functions: Rational
Exponential and Logarithmic Functions
alge971 Table for an exponential function
alge969 Graphing an exponential function: f(x) = ax
alge970 Graphing an exponential function: f(x) = a(b)x
alge712 Graphing an exponential function and its asymptote: f(x) = a(b)x
pcalc922 Translating the graph of an exponential function
pcalc797 The graph, domain, and range of an exponential function
pcalc103 Graphing an exponential function and its asymptote: f(x) = a(e)x-b + c
alge830 Evaluating an exponential function that models a real-world situation
pcalc919 Evaluating an exponential function with base e that models a real-world situation
arith853 Introduction to compound interest
alge177 Finding a final amount in a word problem on exponential growth or decay
alge741 Finding the final amount in a word problem on compound interest
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
alge993 Comparing linear, polynomial, and exponential functions
alge108 Converting between logarithmic and exponential equations
pcalc799 Converting between natural logarithmic and exponential equations
alge232 Evaluating a logarithmic expression
alge233 Solving an equation of the form logba = c
pcalc923 Translating the graph of a logarithmic function
alge788 Graphing a logarithmic function: Basic
pcalc800 The graph, domain, and range of a logarithmic function
pcalc104 Graphing a logarithmic function: Advanced
pcalc708 Basic properties of logarithms
pcalc779 Expanding a logarithmic expression: Problem type 1
pcalc780 Expanding a logarithmic expression: Problem type 2
alge787 Writing an expression as a single logarithm
pcalc612 Change of base for logarithms: Problem type 1
pcalc613 Change of base for logarithms: Problem type 2
pcalc803 Solving a multi-step equation involving a single logarithm
pcalc804 Solving a multi-step equation involving natural logarithms
alge113 Solving an equation involving logarithms on both sides: Problem type 1
pcalc805 Solving an equation involving logarithms on both sides: Problem type 2
alge301 Solving an exponential equation by finding common bases: Linear exponents
alge482 Solving an exponential equation by finding common bases: Linear and quadratic exponents
pcalc920 Solving an exponential equation by using logarithms: Decimal answers, basic
pcalc921 Solving an exponential equation by using natural logarithms: Decimal answers
alge111 Solving an exponential equation by using logarithms: Exact answers in logarithmic form
pcalc806 Using a graphing calculator to solve an exponential or logarithmic equation
alge178 Finding the time to reach a limit in a word problem on exponential growth or decay
pcalc614 Finding the initial or final amount in a word problem on exponential growth or decay
pcalc615 Finding the rate or time in a word problem on continuous exponential growth or decay
Conic Sections and Sequences
B.10. DEVELOPMENTAL MATH
alge191 Midpoint of a line segment in the plane
alge414 Finding an endpoint of a line segment given the other endpoint and the midpoint
alge132 Distance between two points in the plane: Exact answers
pcalc067 Graphing a parabola of the form ay2 + by + cx + d = 0 or ax2 + bx + cy + d = 0
pcalc068 Writing an equation of a parabola given the vertex and the focus
pcalc069 Finding the focus of a parabola of the form ay2 + by + cx + d = 0 or ax2 + bx + cy + d = 0
pcalc605 Graphing a circle given its equation in standard form
pcalc128 Graphing a circle given its equation in general form: Basic
pcalc129 Graphing a circle given its equation in general form: Advanced
pcalc065 Writing an equation of a circle given its center and a point on the circle
pcalc066 Writing an equation of a circle given the endpoints of a diameter
pcalc734 Graphing an ellipse given its equation in standard form
pcalc070 Graphing an ellipse centered at the origin: Ax2 + By2 = C
pcalc071 Graphing an ellipse given its equation in general form
pcalc735 Graphing a hyperbola given its equation in standard form
pcalc075 Graphing a hyperbola centered at the origin: Ax2 - By2 - C = 0
pcalc076 Graphing a hyperbola given its equation in general form
pcalc736 Classifying conics given their equations
alge994 Graphically solving a system of linear and quadratic equations
alge995 Solving a system of linear and quadratic equations
pcalc796 Using a graphing calculator to solve a system of equations
pcalc098 Solving a system of nonlinear equations: Problem type 1
pcalc748 Graphing a quadratic inequality: Problem type 1
pcalc749 Graphing a quadratic inequality: Problem type 2
pcalc096 Graphing a system of nonlinear inequalities: Problem type 1
pcalc097 Graphing a system of nonlinear inequalities: Problem type 2
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
pcalc080 Finding the first terms of a sequence using an explicit rule with multiple occurrences of n
alge906 Finding the next terms of an arithmetic sequence with integers
alge908 Finding the first terms of a sequence using a recursive rule
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
pcalc715 Finding a specified term of an arithmetic sequence given two terms of the sequence
alge909 Writing an explicit rule for an arithmetic sequence
alge910 Writing a recursive rule for an arithmetic sequence
pcalc718 Sum of the first n terms of 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
pcalc717 Finding a specified term of a geometric sequence given two terms of the sequence
pcalc713 Arithmetic and geometric sequences: Identifying and writing an explicit rule
alge911 Writing recursive rules for arithmetic and geometric sequences
pcalc719 Sum of the first n terms of a geometric sequence
pcalc720 Sum of an infinite geometric series
alge965 Identifying linear, quadratic, and exponential functions given ordered pairs
pcalc082 Factorial expressions
pcalc087 Binomial formula
B.10
Developmental Math
Whole Numbers
arith124 Whole number place value: Problem type 1
arith125 Whole number place value: Problem type 2
317
318
APPENDIX B. SYLLABI IN ALEKS
arith066
arith643
arith028
arith060
arith633
arith634
arith001
arith635
arith050
arith630
arith012
arith636
arith007
arith128
arith006
arith682
arith637
arith613
arith655
arith126
arith008
arith679
arith003
arith004
arith632
arith615
arith638
arith014
arith641
arith642
arith656
arith075
arith614
arith130
arith243
arith711
arith052
arith005
arith680
arith649
arith616
arith644
arith617
arith631
arith650
arith023
arith651
arith077
arith078
arith123
arith061
arith101
arith102
arith604
arith692
arith233
arith683
arith645
arith681
arith048
arith051
arith693
Expanded form
Expanded form with zeros
Numeral translation: Problem type 1
Numeral translation: Problem type 2
Addition of 3 or 4 one-digit numbers
Adding a 2-digit number and a 1-digit number with carry
Addition with carry to the hundreds place
Subtracting a 1-digit number from a 2-digit number
Subtraction without borrowing
Adding or subtracting 10, 100, or 1000
Subtraction with borrowing
Subtraction with multiple regrouping steps
Subtraction and regrouping with zeros
Word problem with addition or subtraction of whole numbers
One-digit multiplication
Multiplication by 10, 100, and 1000
Multiplication without carry
Multiplication with carry
Multiplication with trailing zeros: Problem type 1
Introduction to multiplication of large numbers
Multiplication with trailing zeros: Problem type 2
Multiplication of large numbers
Multiples: Problem type 1
Multiples: Problem type 2
Introduction to properties of multiplication
Division facts
Word problem with multiplication or division of whole numbers
Word problem with multiplication and addition or subtraction of whole numbers
Division of whole numbers given in fractional form
Division involving zero
Division without carry
Division with carry
Division with trailing zeros: Problem type 1
Division with trailing zeros: Problem type 2
Quotient and remainder: Problem type 1
Word problem on quotient and remainder
Quotient and remainder: Problem type 2
Quotient and remainder: Problem type 3
Division involving quotients with intermediate zeros
Word problem with division of whole numbers and rounding
Introduction to inequalities
Ordering large numbers
Rounding to tens or hundreds
Rounding to hundreds or thousands
Rounding to thousands, ten thousands, or hundred thousands
Estimating a sum of whole numbers
Estimating a difference of whole numbers
Estimating a product or quotient of whole numbers
Writing expressions using exponents
Introduction to exponents
Power of 10: Positive exponent
Introduction to parentheses
Introduction to order of operations
Order of operations with whole numbers
Order of operations with whole numbers and grouping symbols
Order of operations with whole numbers and exponents: Basic
B.10. DEVELOPMENTAL MATH
arith713 Order of operations with whole numbers and exponents: Advanced
arith657 Understanding the distributive property
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
alge832 Evaluating an algebraic expression: Whole number operations and exponents
alge009 Additive property of equality with whole numbers
alge008 Multiplicative property of equality with whole numbers
alge803 Using two steps to solve an equation 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
arith034 Prime numbers
arith035 Prime factorization
arith033 Greatest common factor of 2 numbers
arith070 Least common multiple of 2 numbers
arith804 Least common multiple of 3 numbers
arith240 Word problem with common multiples
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
Fractions
arith623
arith665
arith212
arith666
arith067
arith687
arith667
arith044
arith091
arith092
arith079
arith086
arith119
arith053
arith812
arith813
arith818
arith095
arith088
arith694
arith022
arith819
arith618
arith802
arith801
arith109
arith664
arith230
arith803
arith805
arith100
arith662
arith015
arith619
arith215
Introduction to fractions
Understanding equivalent fractions
Equivalent fractions
Introduction to simplifying a fraction
Simplifying a fraction
Fractional position on a number line
Plotting fractions on a number line
Ordering fractions with the same denominator
Ordering fractions with the same numerator
Using a common denominator to order fractions
Product of a unit fraction and a whole number
Product of a fraction and a whole number: Problem type 1
Introduction to fraction multiplication
Fraction multiplication
Product of a fraction and a whole number: Problem type 2
Multiplication of 3 fractions
Word problem involving fractions and multiplication
Multi-step word problem involving fractions and multiplication
The reciprocal of a number
Division involving a whole number and a fraction
Fraction division
Word problem involving fractions and division
Addition or subtraction of fractions with the same denominator
Addition or subtraction of fractions with the same denominator and simplification
Finding the LCD of two fractions
Addition or subtraction of unit fractions
Introduction to addition or subtraction of fractions with different denominators
Addition or subtraction of fractions with different denominators
Addition and subtraction of 3 fractions with different denominators
Word problem involving addition or subtraction of fractions with different denominators
Fractional part of a circle
Writing a mixed number and an improper fraction for a shaded region
Writing an improper fraction as a mixed number
Writing a mixed number as an improper fraction
Addition or subtraction of mixed numbers with the same denominator
319
320
APPENDIX B. SYLLABI IN ALEKS
arith084
arith216
arith806
arith808
arith809
arith807
arith810
arith815
arith816
arith817
arith068
arith820
arith821
arith859
arith860
arith861
Addition of mixed numbers with the same denominator and carry
Subtraction of mixed numbers with the same denominator and borrowing
Addition or subtraction of mixed numbers with different denominators and no carry or borrow
Addition of mixed numbers with different denominators and carry
Subtraction of mixed numbers with different denominators and borrowing
Addition and subtraction of 3 mixed numbers with different denominators
Word problem involving addition or subtraction of mixed numbers with different denominators
Mixed number multiplication
Multiplication of a mixed number and a whole number
Division with a mixed number and a whole number
Mixed number division
Word problem involving multiplication or division with mixed numbers
Exponents and fractions
Order of operations with fractions: Problem type 1
Order of operations with fractions: Problem type 2
Order of operations with fractions: Problem type 3
Decimals, Proportions, Percents
arith127
arith110
arith220
arith714
arith715
arith716
arith829
arith830
arith831
arith832
arith129
arith608
arith221
arith717
arith719
arith718
arith087
arith721
arith722
arith724
arith624
arith013
arith734
arith735
arith736
arith737
arith131
arith132
arith133
arith134
arith739
arith017
arith055
arith046
arith082
arith738
arith740
arith752
arith135
arith137
arith224
Writing a decimal and a fraction for a shaded region
Decimal place value: Tenths and hundredths
Decimal place value: Hundreds to ten thousandths
Writing a decimal number less than 1 given its name
Writing a decimal number greater than 1 given its name
Writing a decimal number given its name: Advanced
Reading decimal position on a number line: Tenths
Reading decimal position on a number line: Hundredths
Understanding decimal position on a number line using zoom: Hundredths
Understanding decimal position on a number line using zoom: Thousandths
Introduction to ordering decimals
Ordering decimals
Rounding decimals
Converting a decimal to a proper fraction without simplifying: Basic
Converting a decimal to a proper fraction without simplifying: Advanced
Converting a decimal to a proper fraction in simplest form: Basic
Converting a decimal to a proper fraction in simplest form: Advanced
Converting a decimal to a mixed number and an improper fraction without simplifying
Converting a decimal to a mixed number and an improper fraction in simplest form: Basic
Converting a decimal to a mixed number and an improper fraction in simplest form: Advanced
Subtraction of aligned decimals
Decimal subtraction: Basic
Decimal addition and subtraction with 3 or more numbers
Estimating a decimal sum or difference
Word problem with addition or subtraction of 2 decimals
Word problem with addition of 3 or 4 decimals and whole numbers
Word problem with subtraction of a whole number and a decimal: Regrouping with zeros
Introduction to decimal multiplication
Multiplication of a decimal by a whole number
Decimal multiplication: Problem type 1
Decimal multiplication: Problem type 2
Multiplication of a decimal by a power of ten
Multiplication of a decimal by a power of 0.1
Multiplication of decimals that have a product less than 0.1
Estimating a product of decimals
Word problem with multiplication of a decimal and a whole number
Word problem with multiplication of two decimals
Word problem with decimal addition and multiplication
B.10. DEVELOPMENTAL 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
arith136 Word problem with division of a decimal and a whole number
arith138 Word problem with division of two decimals
arith227 Word problem with decimal subtraction and division
alge823 Solving a one-step word problem using the formula d = rt
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
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
arith823 Writing ratios using different notations
arith663 Writing ratios for real-world situations
arith824 Simplifying a ratio of whole numbers: Problem type 1
arith825 Simplifying a ratio of decimals
arith827 Finding a unit price
arith228 Word problem on unit rates associated with ratios of whole numbers: Decimal answers
arith828 Computing unit prices to find the better buy
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
arith611 Word problem on proportions: Problem type 2
alge063 Word problem on mixed number proportions
arith045 Word problem with powers of ten
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
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
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
321
322
APPENDIX B. SYLLABI IN ALEKS
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
mstat049 Computing a percentage from a table of values
arith850 Finding the rate of a tax or commission
arith849 Finding the total amount given the percentage of a partial amount
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
arith853 Introduction to compound interest
Geometry, Measurement, Data Analysis
geom339 Perimeter of a polygon
geom300 Perimeter of a square or a rectangle
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
geom358 Identifying parallel and perpendicular lines
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
geom305 Identifying supplementary and vertical angles
geom304 Identifying corresponding and alternate angles
geom306 Acute, obtuse, and right triangles
geom307 Classifying scalene, isosceles, and equilateral triangles by side lengths or angles
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
geom361 Naming polygons
mstat042 Interpreting a Venn diagram of 2 sets
geom867 Identifying parallelograms, rectangles, and squares
geom532 Classifying parallelograms
geom019 Area of a square or a rectangle
geom866 Perimeter and area on a grid
geom620 Area of a rectangle involving fractions
geom619 Area of a rectangle involving mixed numbers and fractions
geom350 Distinguishing between the area and perimeter of a rectangle
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
geom142 Word problem involving the area between two rectangles
geom801 Area of a triangle
geom344 Area involving rectangles and triangles
geom022 Area of a parallelogram
geom023 Area of a trapezoid
geom347 Introduction to a circle: Diameter, radius, and chord
geom016 Circumference of a circle
B.10. DEVELOPMENTAL MATH
geom301 Perimeter involving rectangles and circles
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
geom868 Classifying solids
geom348 Vertices, edges, and faces of a solid
geom830 Counting the cubes in a solid made of cubes
geom354 Volume of a rectangular prism made of unit cubes
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
geom622 Volume of a cone
geom841 Volume of a sphere
geom219 Nets of solids
geom816 Side views of a solid made of cubes
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
geom621 Surface area of a cylinder
geom842 Surface area of a sphere
arith016 Square root of a perfect square
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
geom359 Identifying congruent shapes on a grid
geom520 Identifying and naming congruent triangles
geom360 Identifying similar or congruent shapes on a grid
geom037 Similar polygons
geom038 Similar right triangles
geom337 Indirect measurement
mstat059 Choosing U.S. Customary measurement units
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
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
time007 Elapsed time
arith063 Word problem with clocks
mstat065 Converting between temperatures in Fahrenheit and Celsius
arith826 Simplifying a ratio of whole numbers: Problem type 2
unit034 Converting between metric and U.S. Customary unit systems
unit035 Converting between compound units: Basic
unit036 Converting between compound units: Advanced
mstat056 Interpreting a tally table
mstat037 Constructing a line plot
mstat005 Constructing a bar graph for non-numerical data
323
324
APPENDIX B. SYLLABI IN ALEKS
mstat004 Constructing a histogram for numerical data
mstat024 Interpreting a bar graph
mstat044 Interpreting a double bar graph
mstat057 Interpreting a pictograph table
mstat007 Interpreting a line graph
mstat031 Interpreting a stem-and-leaf plot
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
geom814 Angle measure in a circle graph
stat020 Calculating relative frequencies in a contingency table
stat805 Making a reasonable inference based on proportion statistics
mstat025 Finding if a question can be answered by the data
mstat003 Mode of a data set
mstat055 Finding the mode and range of a data set
arith103 Average of two numbers
mstat001 Mean of a data set
mstat028 Mean and median of a data set
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
mstat066 Weighted mean
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
stat009 Percentiles
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
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
mstat032 Probability of the union of two events
Real Numbers
alge286 Plotting integers on a number line
arith605 Plotting rational numbers on a number line
mstat038 Reading the temperature from a thermometer
arith699 Writing a signed number for a real-world situation
arith691 Ordering integers
arith712 Ordering real numbers
arith071 Absolute value of a number
arith200 Integer addition: Problem type 1
arith108 Integer addition: Problem type 2
B.10. DEVELOPMENTAL MATH
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
arith701 Word problem with addition or subtraction of integers
arith231 Integer multiplication and division
arith800 Multiplication of 3 or 4 integers
alge001 Identifying numbers as integers or non-integers
alge002 Identifying numbers as rational or irrational
arith116 Signed fraction addition or subtraction: Basic
arith864 Signed fraction subtraction involving double negation
arith811 Addition and subtraction of 3 fractions involving signs
arith822 Signed fraction multiplication: Basic
arith814 Signed fraction division
arith117 Signed decimal addition and subtraction
arith234 Signed decimal addition and subtraction with 3 numbers
arith750 Signed decimal multiplication
arith751 Signed decimal division
arith104 Operations with absolute value: Problem type 2
geom525 Computing distances between decimals on the number line
unit052 Finding the absolute error and percent error of a measurement
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
alge808 Evaluating a linear expression: Signed fraction multiplication with addition or subtraction
alge302 Evaluating a linear expression: Signed decimal addition and subtraction
alge303 Evaluating a linear expression: Signed decimal multiplication with addition or subtraction
alge700 Combining like terms: Whole number coefficients
alge607 Combining like terms: Integer coefficients
alge310 Multiplying a constant and a linear monomial
alge606 Distributive property: Whole number coefficients
alge604 Distributive property: Integer coefficients
alge188 Properties of real numbers
alge608 Using distribution and combining like terms to simplify: Univariate
alge609 Using distribution with double negation and combining like terms to simplify: Multivariate
alge293 Combining like terms in a quadratic expression
Linear Equations and Inequalities
alge801
alge800
alge010
alge836
alge820
alge825
alge797
alge012
alge834
alge266
alge006
alge200
alge920
Additive property of equality with fractions and mixed numbers
Additive property of equality with decimals
Additive property of equality with integers
Additive property of equality with signed fractions
Multiplicative property of equality with fractions
Multiplicative property of equality with decimals
Multiplicative property of equality with integers
Multiplicative property of equality with signed fractions
Identifying solutions to a linear equation in one variable: Two-step equations
Additive property of equality with a negative coefficient
Solving a two-step equation with integers
Solving an equation to find the value of an expression
Introduction to solving an equation with parentheses
325
326
APPENDIX B. SYLLABI IN ALEKS
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
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
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
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
alge840 Solving a proportion of the form (x+a)&divide;b = c&divide;d
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
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
alge016 Translating a sentence into a one-step equation
alge841 Translating a sentence into a multi-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
alge173 Solving a decimal word problem using a linear equation of the form Ax + B = C
alge730 Writing a multi-step equation for a real-world situation
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
alge218 Solving a word problem involving rates and time conversion
alge796 Solving a distance, rate, time problem using a linear equation
arith854 Computing a percent mixture
alge795 Solving a percent mixture problem using a linear equation
geom817 Finding a side length given the perimeter and side lengths with variables
geom143 Finding the perimeter or area of a rectangle given one of these values
geom218 Finding the radius or the diameter of a circle given its circumference
geom838 Circumference ratios
geom530 Solving equations involving vertical angles
geom531 Solving equations involving angles and a pair of 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
stat803 Finding the value for a new score that will yield a given mean
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
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
B.10. DEVELOPMENTAL MATH
alge166 Graphing a compound inequality on the number line
alge847 Writing a compound inequality given a graph on the number line
set001 Set builder notation
set004 Set builder and interval notation
set002 Union and intersection of finite sets
set005 Union and intersection of intervals
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
alge858 Solving a linear inequality with multiple occurrences of the variable: Problem
alge859 Solving a linear inequality with multiple occurrences of the variable: Problem
alge860 Solving inequalities with no solution or all real numbers as solutions
alge746 Solving a compound linear inequality: Graph solution, basic
alge747 Solving a compound linear inequality: Interval notation
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
alge603 Introduction to solving an absolute value equation
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
alge167 Solving an absolute value equation of the form —ax+b— = —cx+d—
alge868 Solving an absolute value inequality: Problem type 1
alge943 Writing an absolute value inequality given a graph on the number line
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
Lines, Functions, Systems
alge064
alge067
alge850
alge873
alge066
alge877
alge878
alge879
alge880
alge198
alge884
alge924
alge210
alge197
alge881
alge875
alge886
alge887
alge885
alge888
alge259
Reading a point in the coordinate plane
Plotting a point in the coordinate plane
Table for a linear equation
Identifying solutions to a linear equation in two variables
Finding a solution to a linear equation in two variables
Graphing a linear equation of the form y = mx
Graphing a line given its equation in slope-intercept form: Integer slope
Graphing a line given its equation in slope-intercept form: Fractional slope
Graphing a line given its equation in standard form
Graphing a vertical or horizontal line
Finding x- and y-intercepts given the graph of a line on a grid
Finding x- and y-intercepts of a line given the equation: Basic
Finding x- and y-intercepts of a line given the equation: Advanced
Graphing a line given its x- and y-intercepts
Graphing a line by first finding its x- and y-intercepts
Classifying slopes given graphs of lines
Finding slope given the graph of a line on a grid
Finding slope given two points on the line
Finding the slope of horizontal and vertical lines
Finding the coordinate that yields a given slope
Graphing a line given its slope and y-intercept
327
type 1
type 2
type 3
both sides
328
APPENDIX B. SYLLABI IN ALEKS
alge196 Graphing a line through a given point with a given slope
alge874 Identifying linear functions given ordered pairs
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
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
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
alge992 Combining functions to write a new function that models a real-world situation
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
mstat052 Identifying independent and dependent variables from equations or real-world situations
alge991 Solving a linear equation by graphing
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
mstat069 Computing residuals
mstat070 Interpreting residual plots
mstat071 Linear relationship and the correlation coefficient
mstat074 Identifying correlation and causation
stat021 Population standard deviation
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
fun030 Evaluating a piecewise-defined function
fun033 Variable expressions as inputs of functions: Problem type 1
pcalc924 Determining whether an equation defines a function: Basic
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
fun007 Domain and range from the graph of a discrete relation
fun024 Domain and range from the graph of a continuous function
fun025 Domain and range from the graph of a piecewise function
fun026 Finding an output of a function from its graph
pcalc761 Finding inputs and outputs of a function from its graph
pcalc750 Finding intercepts of a nonlinear function given its graph
alge999 Finding where a function is increasing, decreasing, or constant given the graph
pcalc751 Finding where a function is increasing, decreasing, or constant given the graph: Interval notation
pcalc752 Finding local maxima and minima of a function given the graph
mstat018 Choosing a graph to fit a narrative: Basic
B.10. DEVELOPMENTAL MATH
mstat051 Choosing a graph to fit a narrative: Advanced
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
alge913 Graphing an absolute value equation of the form y = A—x—
alge954 Graphing a parabola of the form y = ax2
alge955 Graphing a parabola of the form y = ax2 + c
alge572 Graphing a function of the form f(x) = ax2
alge573 Graphing a function of the form f(x) = ax2 + c
alge262 Graphing a cubic function of the form y = ax3
fun031 Graphing a piecewise-defined function: Problem type 1
alge997 Finding the average rate of change of a function given its equation
alge998 Finding the average rate of change of a function given its graph
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 2x2 system of linear equations that is inconsistent or consistent dependent
alge077 Creating an inconsistent system of linear equations
alge988 Identifying the operations used to create equivalent systems of equations
alge753 Solving a 3x3 system of linear equations: Problem type 1
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
alge192 Solving a percent mixture problem using a system of linear equations
alge224 Solving a distance, rate, time 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: Problem type 1
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
alge922 Graphing a system of three linear inequalities
alge729 Writing a multi-step inequality for a real-world situation
pcalc093 Solving a word problem using a system of linear inequalities: Problem type 1
pcalc095 Linear programming
pcalc094 Solving a word problem using linear programming
pcalc037 Scalar multiplication of a matrix
pcalc038 Addition or subtraction of matrices
pcalc740 Linear combination of matrices
pcalc042 Finding the determinant of a 2x2 matrix
pcalc043 Finding the determinant of a 3x3 matrix
pcalc045 Using Cramer’s rule to solve a 2x2 system of linear equations
pcalc047 Using Cramer’s rule to solve a 3x3 system of linear equations
pcalc712 Gauss-Jordan elimination with a 2x2 matrix
pcalc046 Solving a system of linear equations given its augmented matrix
Exponents and Polynomials
alge821 Understanding the product rule of exponents
alge024 Introduction to the product rule of exponents
alge311 Product rule with positive exponents: Univariate
329
330
APPENDIX B. SYLLABI IN ALEKS
alge030 Product rule with positive exponents: Multivariate
arith029 Ordering numbers with positive exponents
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
alge756 Power and product rules with positive exponents
alge451 Simplifying a ratio of multivariate monomials: Basic
alge827 Introduction to the quotient rule of exponents
alge452 Simplifying a ratio of univariate monomials
alge026 Quotient of expressions involving exponents
alge453 Simplifying a ratio of multivariate monomials: Advanced
alge927 Power and quotient rules with positive exponents
alge790 Evaluating expressions with exponents of zero
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
alge961 Introduction to the product rule with negative exponents
alge028 Product rule with negative exponents
alge755 Quotient rule with negative exponents: Problem type 1
alge926 Quotient rule with negative exponents: Problem type 2
alge025 Power of a power rule with negative exponents
alge799 Power rules with negative 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
arith036 Scientific notation with positive exponent
arith037 Scientific notation with negative exponent
scinot012 Converting between scientific notation and standard form in a real-world situation
scinot008 Multiplying numbers written in scientific notation: Basic
scinot009 Multiplying numbers written in scientific notation: Advanced
scinot010 Dividing numbers written in scientific notation: Basic
scinot011 Dividing numbers written in scientific notation: Advanced
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
pcalc117 Synthetic division
pcalc786 Using the remainder theorem to evaluate a polynomial
B.10. DEVELOPMENTAL MATH
alge985
alge605
alge736
alge930
alge037
alge738
alge739
alge949
alge923
alge950
alge951
alge952
alge039
alge942
alge936
alge939
alge940
alge941
alge978
alge265
alge937
alge944
alge945
alge946
alge290
alge947
alge839
alge948
alge833
alge041
alge042
alge044
alge681
alge956
alge045
alge048
alge211
alge703
alge713
alge046
alge163
Closure properties of integers and polynomials
Factoring a linear binomial
Introduction to the GCF of two monomials
Greatest common factor of three univariate monomials
Greatest common factor of two multivariate monomials
Factoring out a monomial from a polynomial: Univariate
Factoring out a monomial from a polynomial: Multivariate
Factoring out a binomial from a polynomial: GCF factoring, basic
Factoring a univariate polynomial by grouping: Problem type 1
Factoring a univariate polynomial by grouping: Problem type 2
Factoring a multivariate polynomial by grouping: Problem type 1
Factoring a multivariate polynomial by grouping: Problem type 2
Factoring out a constant before factoring a quadratic
Factoring a quadratic with leading coefficient greater than 1: Problem type 1
Factoring a quadratic with leading coefficient greater than 1: Problem type 2
Factoring a quadratic with leading coefficient greater than 1: Problem type 3
Factoring a quadratic by the ac-method
Factoring a quadratic in two variables with leading coefficient greater than 1
Factoring a perfect square trinomial with leading coefficient 1
Factoring a perfect square trinomial with leading coefficient greater than 1
Factoring a perfect square trinomial in two variables
Factoring a difference of squares in one variable: Basic
Factoring a difference of squares in one variable: Advanced
Factoring a difference of squares in two variables
Factoring a polynomial involving a GCF and a difference of squares: Univariate
Factoring a polynomial involving a GCF and a difference of squares: Multivariate
Factoring a product of a quadratic trinomial and a monomial
Factoring with repeated use of the difference of squares formula
Factoring a sum or difference of two cubes
Solving an equation written in factored form
Finding the roots of a quadratic equation of the form ax2 + bx = 0
Finding the roots of a quadratic equation with leading coefficient greater than 1
Solving a quadratic equation needing simplification
Solving a word problem using a quadratic equation with rational roots
Using the Pythagorean Theorem and a quadratic equation to find side lengths of a right triangle
Roots of a product of polynomials
Rational Expressions
alge049
alge467
alge468
alge469
alge715
alge454
alge455
alge456
alge457
alge458
alge710
alge682
alge459
alge034
alge053
alge460
Restriction on a variable in a denominator: Linear
Restriction on a variable in a denominator: Quadratic
Evaluating a rational function: Problem type 1
Evaluating a rational function: Problem type 2
Domain of a rational function: Excluded values
Simplifying a ratio of factored polynomials: Linear factors
Simplifying a ratio of factored polynomials: Factors with exponents
Simplifying a ratio of polynomials using GCF factoring
Simplifying a ratio of linear polynomials: 1, -1, and no simplification
Simplifying a ratio of polynomials by factoring a quadratic with leading coefficient 1
Simplifying a ratio of polynomials: Problem type 1
Simplifying a ratio of polynomials: Problem type 2
Simplifying a ratio of polynomials: Problem type 3
Simplifying a ratio of multivariate polynomials
Multiplying rational expressions involving multivariate monomials
Multiplying rational expressions made up of linear expressions
331
332
APPENDIX B. SYLLABI IN ALEKS
alge461 Multiplying rational expressions involving quadratics with leading coefficients greater than 1
alge462 Multiplying rational expressions involving multivariate quadratics
alge054 Dividing rational expressions involving multivariate monomials
alge463 Dividing rational expressions involving linear expressions
alge464 Dividing rational expressions involving quadratics with leading coefficients greater than 1
alge465 Dividing rational expressions involving multivariate quadratics
alge466 Multiplication and division of 3 rational expressions
alge737 Introduction to the LCM of two monomials
alge055 Least common multiple of two monomials
alge427 Finding the LCD of rational expressions with linear denominators: Relatively prime
alge428 Finding the LCD of rational expressions with linear denominators: Common factors
alge429 Finding the LCD of rational expressions with quadratic denominators
alge430 Writing equivalent rational expressions with monomial denominators
alge431 Writing equivalent rational expressions with polynomial denominators
alge304 Writing equivalent rational expressions involving opposite factors
alge432 Introduction to adding fractions with variables and common denominators
alge433 Adding rational expressions with common denominators and monomial numerators
alge056 Adding rational expressions with common denominators and binomial numerators
alge434 Adding rational expressions with common denominators and GCF factoring
alge436 Adding rational expressions with different denominators and a single occurrence of a variable
alge437 Adding rational expressions with denominators ax and bx: Basic
alge439 Adding rational expressions with denominators axn and bxm
alge440 Adding rational expressions with multivariate monomial denominators: Basic
alge441 Adding rational expressions with linear denominators without common factors: Basic
alge443 Adding rational expressions with linear denominators with common factors: Basic
alge445 Adding rational expressions with denominators ax-b and b-ax
arith695 Complex fraction without variables: Problem type 1
arith696 Complex fraction without variables: Problem type 2
alge470 Complex fraction involving univariate monomials
alge058 Complex fraction involving multivariate monomials
alge471 Complex fraction: GCF factoring
alge473 Complex fraction made of sums involving rational expressions: Problem type 1
alge474 Complex fraction made of sums involving rational expressions: Problem type 2
alge475 Complex fraction made of sums involving rational expressions: Problem type 3
alge476 Complex fraction made of sums involving rational expressions: Problem type 4
alge477 Complex fraction made of sums involving rational expressions: Problem type 5
alge478 Complex fraction made of sums involving rational expressions: Problem type 6
alge479 Complex fraction made of sums involving rational expressions: Multivariate
alge480 Complex fraction with negative exponents: Problem type 1
alge481 Complex fraction with negative exponents: Problem type 2
alge162 Complex fraction that contains a complex fraction
alge271 Solving a proportion of the form a/(x+b) = c/x
alge060 Solving a rational equation that simplifies to linear: Denominator x
alge205 Solving a rational equation that simplifies to linear: Denominator x+a
alge769 Solving a rational equation that simplifies to linear: Denominators a, x, or ax
alge421 Solving a rational equation that simplifies to linear: Denominators ax and bx
alge422 Solving a rational equation that simplifies to linear: Like binomial denominators
alge206 Solving a rational equation that simplifies to linear: Unlike binomial denominators
alge423 Solving a rational equation that simplifies to linear: Factorable quadratic denominator
alge424 Solving a rational equation that simplifies to quadratic: Proportional form, basic
alge425 Solving a rational equation that simplifies to quadratic: Denominator x
alge212 Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators
B.10. DEVELOPMENTAL MATH
alge062 Solving a rational equation that simplifies to quadratic: Binomial denominators and numerators
alge426 Solving a rational equation that simplifies to quadratic: Factorable quadratic denominator
alge047 Solving a rational equation that simplifies to quadratic: Proportional form, advanced
alge508 Solving for a variable in terms of other variables in a rational equation: Problem type 1
alge509 Solving for a variable in terms of other variables in a rational equation: Problem type 2
alge510 Solving for a variable in terms of other variables in a rational equation: Problem type 3
arith612 Word problem involving multiple rates
alge770 Solving a work problem using a rational equation
alge450 Solving a distance, rate, time problem using a rational equation
geom133 Ratio of volumes
alge059 Ordering fractions with variables
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
pcalc681 Writing an equation that models variation
alge772 Word problem on combined variation
pcalc917 Finding the asymptotes of a rational function: Constant over linear
pcalc918 Finding the asymptotes of a rational function: Linear over linear
alge515 Graphing a rational function: Constant over linear
alge516 Graphing a rational function: Linear over linear
alge413 Finding all square roots of a number
arith601 Square root of a rational perfect square
arith760 Square roots of perfect squares with signs
arith761 Square roots of integers raised to even exponents
alge415 Introduction to simplifying a radical expression with an even exponent
alge264 Square root of a perfect square monomial
alge537 Using absolute value to simplify square roots of perfect square monomials
arith094 Cube root of an integer
alge549 Finding nth roots of perfect nth powers with signs
arith768 Finding the nth root of a perfect nth power fraction
alge550 Finding the nth root of a perfect nth power monomial
alge538 Using absolute value to simplify higher radical expressions
alge539 Table for a square root function
alge546 Evaluating a cube root function
alge540 Domain of a square root function: Basic
pcalc763 Domain of a square root function: Advanced
alge547 Domains of higher root functions
alge543 Graphing a square root function: Problem type 1
alge544 Graphing a square root function: Problem type 2
alge545 Graphing a square root function: Problem type 3
alge548 Graphing a cube root function
alge812 Converting between radical form and exponent form
alge560 Rational exponents: Unit fraction exponents and whole number bases
alge561 Rational exponents: Unit fraction exponents and bases involving signs
alge250 Rational exponents: Non-unit fraction exponent with a whole number base
alge251 Rational exponents: Negative exponents and fractional bases
alge558 Rational exponents: Product rule
alge559 Rational exponents: Quotient rule
alge773 Rational exponents: Products and quotients with negative exponents
alge562 Rational exponents: Power of a power rule
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APPENDIX B. SYLLABI IN ALEKS
alge249 Rational exponents: Powers of powers with negative exponents
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
alge520 Introduction to simplifying a radical expression with an odd exponent
alge521 Simplifying a radical expression with an odd exponent
alge275 Simplifying a radical expression with two variables
alge273 Simplifying a higher root of a whole number
alge551 Introduction to simplifying a higher radical expression
alge552 Simplifying a higher radical expression: Univariate
alge811 Simplifying a higher radical expression: Multivariate
arith767 Introduction to square root addition or subtraction
arith032 Square root addition or subtraction
alge533 Square root addition or subtraction with three terms
alge531 Introduction to simplifying a sum or difference of radical expressions: Univariate
alge532 Simplifying a sum or difference of radical expressions: Univariate
alge084 Simplifying a sum or difference of radical expressions: Multivariate
alge554 Simplifying a sum or difference of higher roots
alge555 Simplifying a sum or difference of higher radical expressions
arith764 Introduction to square root multiplication
arith765 Square root multiplication: Basic
alge522 Introduction to simplifying a product of radical expressions: Univariate
alge523 Simplifying a product of radical expressions: Univariate
alge640 Simplifying a product of radical expressions: Multivariate
alge082 Simplifying a product of radical expressions: Multivariate, fractional expressions
alge556 Introduction to simplifying a product of higher roots
alge557 Simplifying a product of higher radical expressions
alge525 Introduction to simplifying a product involving square roots using the distributive property
alge526 Simplifying a product involving square roots using the distributive property: Basic
alge276 Simplifying a product involving square roots using the distributive property: Advanced
alge774 Special products of radical expressions: Conjugates and squaring
alge984 Classifying sums and products as rational or irrational
arith766 Simplifying a quotient of square roots
alge530 Simplifying a quotient involving a sum or difference with a square root
alge527 Rationalizing a denominator: Quotient involving square roots
alge528 Rationalizing a denominator: Square root of a fraction
alge529 Rationalizing a denominator: Quotient involving a monomial
alge534 Rationalizing a denominator using conjugates: Integer numerator
alge535 Rationalizing a denominator using conjugates: Square root in numerator
alge536 Rationalizing a denominator using conjugates: Variable in denominator
alge564 Rationalizing a denominator: Quotient involving a higher radical
alge775 Rationalizing a denominator: Quotient involving higher radicals and monomials
alge563 Simplifying products or quotients of higher radicals with different indices: Univariate
alge776 Simplifying products or quotients of higher radicals with different indices: Multivariate
alge400 Introduction to solving a radical equation
alge089 Solving a radical equation that simplifies to a linear equation: One radical, basic
alge090 Solving a radical equation that simplifies to a linear equation: Two radicals
alge405 Solving a radical equation with two radicals that simplifies to sqrt(x) = a
alge412 Algebraic symbol manipulation with radicals
alge542 Word problem involving radical equations: Basic
alge410 Solving an equation with a root index greater than 2: Problem type 1
alge417 Solving an equation with a root index greater than 2: Problem type 2
alge093 Solving an equation using the odd-root property: Problem type 1
alge228 Solving an equation using the odd-root property: Problem type 2
alge416 Solving an equation with exponent 1/a: Problem type 1
B.10. DEVELOPMENTAL MATH
alge418 Solving an equation with exponent 1/a: Problem type 2
alge778 Using i to rewrite square roots of negative numbers
alge779 Simplifying a product and quotient involving square roots of negative numbers
pcalc048 Adding or subtracting complex numbers
pcalc049 Multiplying complex numbers
pcalc050 Dividing complex numbers
pcalc053 Simplifying a power of i
alge962 Solving an equation of the form x2 = a using the square root property
alge092 Solving a quadratic equation using the square root property: Exact answers, basic
alge094 Completing the square
pcalc051 Solving a quadratic equation with complex roots
alge214 Discriminant of a quadratic equation
alge193 Discriminant of a quadratic equation with parameter
alge781 Solving an equation that can be written in quadratic form: Problem type 1
alge782 Solving an equation that can be written in quadratic form: Problem type 2
alge230 Solving an equation with positive rational exponent
alge231 Solving an equation with negative rational exponent
alge524 Solving a word problem using a quadratic equation with irrational roots
alge974 Finding the vertex, x-intercepts, and axis of symmetry from the graph of a parabola
alge253 Graphing a parabola of the form y = (x-h)2 + k
alge569 Graphing a parabola of the form y = x2 + bx + c
pcalc746 Graphing a parabola of the form y = ax2 + bx + c: Integer coefficients
pcalc747 Graphing a parabola of the form y = ax2 + bx + c: Rational coefficients
alge277 Finding the x-intercept(s) and the vertex of a parabola
pcalc793 Using a graphing calculator to find the x-intercept(s) and vertex of a quadratic function
pcalc774 Rewriting a quadratic function to find the vertex of its graph
pcalc775 Finding the maximum or minimum of a quadratic function
alge785 Word problem involving the maximum or minimum of a quadratic function
alge975 Domain and range from the graph of a parabola
pcalc762 Range of a quadratic function
pcalc680 Writing the equation of a quadratic function given its graph
alge957 Solving a quadratic equation by graphing
alge996 Comparing properties of quadratic functions given in different forms
alge702 Classifying the graph of a function
alge723 How the leading coefficient affects the shape of a parabola
alge784 Solving a quadratic inequality written in factored form
pcalc676 Solving a polynomial inequality
alge783 Solving a rational inequality: Problem type 1
pcalc677 Solving a rational inequality: Problem type 2
alge953 Translating the graph of a parabola: One step
alge898 Translating the graph of an absolute value function: One step
alge899 Translating the graph of an absolute value function: Two steps
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
alge185 Writing an equation for a function after a vertical translation
fun020 Writing an equation for a function after a vertical and horizontal translation
fun019 Sum, difference, and product of two functions
alge786 Quotient of two functions: Basic
fun022 Composition of two functions: Basic
pcalc776 Expressing a function as a composition of two functions
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APPENDIX B. SYLLABI IN ALEKS
fun021 Composition of two functions: Domain and range
alge129 Composition of two functions: Advanced
pcalc757 Determining whether an equation defines a function: Advanced
fun011 Horizontal line test
pcalc777 Determining whether two functions are inverses of each other
fun012 Inverse functions: Linear, discrete
alge130 Inverse functions: Rational
Logarithms, Conic Sections, Sequences
alge971 Table for an exponential function
alge969 Graphing an exponential function: f(x) = ax
alge970 Graphing an exponential function: f(x) = a(b)x
alge712 Graphing an exponential function and its asymptote: f(x) = a(b)x
pcalc922 Translating the graph of an exponential function
pcalc797 The graph, domain, and range of an exponential function
pcalc103 Graphing an exponential function and its asymptote: f(x) = a(e)x-b + c
alge830 Evaluating an exponential function that models a real-world situation
pcalc919 Evaluating an exponential function with base e that models a real-world situation
alge177 Finding a final amount in a word problem on exponential growth or decay
alge741 Finding the final amount in a word problem on compound interest
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
alge993 Comparing linear, polynomial, and exponential functions
alge108 Converting between logarithmic and exponential equations
pcalc799 Converting between natural logarithmic and exponential equations
alge232 Evaluating a logarithmic expression
alge233 Solving an equation of the form logba = c
pcalc923 Translating the graph of a logarithmic function
alge788 Graphing a logarithmic function: Basic
pcalc800 The graph, domain, and range of a logarithmic function
pcalc104 Graphing a logarithmic function: Advanced
pcalc708 Basic properties of logarithms
pcalc779 Expanding a logarithmic expression: Problem type 1
pcalc780 Expanding a logarithmic expression: Problem type 2
alge787 Writing an expression as a single logarithm
pcalc612 Change of base for logarithms: Problem type 1
pcalc613 Change of base for logarithms: Problem type 2
pcalc803 Solving a multi-step equation involving a single logarithm
pcalc804 Solving a multi-step equation involving natural logarithms
alge113 Solving an equation involving logarithms on both sides: Problem type 1
pcalc805 Solving an equation involving logarithms on both sides: Problem type 2
alge301 Solving an exponential equation by finding common bases: Linear exponents
alge482 Solving an exponential equation by finding common bases: Linear and quadratic exponents
pcalc920 Solving an exponential equation by using logarithms: Decimal answers, basic
pcalc921 Solving an exponential equation by using natural logarithms: Decimal answers
alge111 Solving an exponential equation by using logarithms: Exact answers in logarithmic form
pcalc806 Using a graphing calculator to solve an exponential or logarithmic equation
alge178 Finding the time to reach a limit in a word problem on exponential growth or decay
pcalc614 Finding the initial or final amount in a word problem on exponential growth or decay
pcalc615 Finding the rate or time in a word problem on continuous exponential growth or decay
pcalc067 Graphing a parabola of the form ay2 + by + cx + d = 0 or ax2 + bx + cy + d = 0
pcalc068 Writing an equation of a parabola given the vertex and the focus
pcalc069 Finding the focus of a parabola of the form ay2 + by + cx + d = 0 or ax2 + bx + cy + d = 0
alge191 Midpoint of a line segment in the plane
alge414 Finding an endpoint of a line segment given the other endpoint and the midpoint
alge132 Distance between two points in the plane: Exact answers
pcalc605 Graphing a circle given its equation in standard form
B.11. COLLEGE ALGEBRA
pcalc128 Graphing a circle given its equation in general form: Basic
pcalc129 Graphing a circle given its equation in general form: Advanced
pcalc065 Writing an equation of a circle given its center and a point on the circle
pcalc066 Writing an equation of a circle given the endpoints of a diameter
pcalc734 Graphing an ellipse given its equation in standard form
pcalc070 Graphing an ellipse centered at the origin: Ax2 + By2 = C
pcalc071 Graphing an ellipse given its equation in general form
pcalc735 Graphing a hyperbola given its equation in standard form
pcalc075 Graphing a hyperbola centered at the origin: Ax2 - By2 - C = 0
pcalc076 Graphing a hyperbola given its equation in general form
pcalc736 Classifying conics given their equations
alge994 Graphically solving a system of linear and quadratic equations
alge995 Solving a system of linear and quadratic equations
pcalc796 Using a graphing calculator to solve a system of equations
pcalc098 Solving a system of nonlinear equations: Problem type 1
pcalc748 Graphing a quadratic inequality: Problem type 1
pcalc749 Graphing a quadratic inequality: Problem type 2
pcalc096 Graphing a system of nonlinear inequalities: Problem type 1
pcalc097 Graphing a system of nonlinear inequalities: Problem type 2
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
pcalc080 Finding the first terms of a sequence using an explicit rule with multiple occurrences of n
alge906 Finding the next terms of an arithmetic sequence with integers
alge908 Finding the first terms of a sequence using a recursive rule
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
pcalc715 Finding a specified term of an arithmetic sequence given two terms of the sequence
alge909 Writing an explicit rule for an arithmetic sequence
alge910 Writing a recursive rule for an arithmetic sequence
pcalc718 Sum of the first n terms of 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
pcalc717 Finding a specified term of a geometric sequence given two terms of the sequence
pcalc713 Arithmetic and geometric sequences: Identifying and writing an explicit rule
alge911 Writing recursive rules for arithmetic and geometric sequences
pcalc719 Sum of the first n terms of a geometric sequence
pcalc720 Sum of an infinite geometric series
alge965 Identifying linear, quadratic, and exponential functions given ordered pairs
pcalc087 Binomial formula
B.11
College Algebra
Algebra and Geometry Review
arith687 Fractional position on a number line
arith605 Plotting rational numbers on a number line
arith691 Ordering integers
arith602 Estimating a square root
arith712 Ordering real numbers
alge001 Identifying numbers as integers or non-integers
alge002 Identifying numbers as rational or irrational
arith116 Signed fraction addition or subtraction: Basic
arith864 Signed fraction subtraction involving double negation
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APPENDIX B. SYLLABI IN ALEKS
arith811 Addition and subtraction of 3 fractions involving signs
arith822 Signed fraction multiplication: Basic
arith814 Signed fraction division
arith104 Operations with absolute value: Problem type 2
alge694 Computing the distance between two integers on a number line
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
alge808 Evaluating a linear expression: Signed fraction multiplication with addition or subtraction
mstat065 Converting between temperatures in Fahrenheit and Celsius
alge188 Properties of real numbers
alge604 Distributive property: Integer coefficients
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
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
arith029 Ordering numbers with positive exponents
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
alge756 Power and product rules with positive exponents
alge451 Simplifying a ratio of multivariate monomials: Basic
alge827 Introduction to the quotient rule of exponents
alge452 Simplifying a ratio of univariate monomials
alge026 Quotient of expressions involving exponents
alge453 Simplifying a ratio of multivariate monomials: Advanced
alge927 Power and quotient rules with positive exponents
alge790 Evaluating expressions with exponents of zero
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
alge961 Introduction to the product rule with negative exponents
alge028 Product rule with negative exponents
alge755 Quotient rule with negative exponents: Problem type 1
alge926 Quotient rule with negative exponents: Problem type 2
alge025 Power of a power rule with negative exponents
alge799 Power rules with negative 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
arith036 Scientific notation with positive exponent
arith037 Scientific notation with negative exponent
scinot012 Converting between scientific notation and standard form in a real-world situation
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
B.11. COLLEGE ALGEBRA
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
arith034 Prime numbers
arith035 Prime factorization
arith033 Greatest common factor of 2 numbers
alge605 Factoring a linear binomial
alge736 Introduction to the GCF of two monomials
alge930 Greatest common factor of three univariate monomials
alge037 Greatest common factor of two multivariate 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: GCF factoring, 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
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
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
alge041 Factoring a product of a quadratic trinomial and a monomial
alge042 Factoring with repeated use of the difference of squares formula
alge044 Factoring a sum or difference of two cubes
pcalc577 Factoring out binomials from a polynomial: GCF factoring, advanced
pcalc578 Using substitution to factor polynomials
alge049 Restriction on a variable in a denominator: Linear
alge454 Simplifying a ratio of factored polynomials: Linear factors
alge455 Simplifying a ratio of factored polynomials: Factors with exponents
alge456 Simplifying a ratio of polynomials using GCF factoring
alge457 Simplifying a ratio of linear polynomials: 1, -1, and no simplification
alge458 Simplifying a ratio of polynomials by factoring a quadratic with leading coefficient 1
alge710 Simplifying a ratio of polynomials: Problem type 1
alge682 Simplifying a ratio of polynomials: Problem type 2
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APPENDIX B. SYLLABI IN ALEKS
alge459 Simplifying a ratio of polynomials: Problem type 3
alge034 Simplifying a ratio of multivariate polynomials
alge053 Multiplying rational expressions involving multivariate monomials
alge460 Multiplying rational expressions made up of linear expressions
alge461 Multiplying rational expressions involving quadratics with leading coefficients greater than 1
alge462 Multiplying rational expressions involving multivariate quadratics
alge054 Dividing rational expressions involving multivariate monomials
alge463 Dividing rational expressions involving linear expressions
alge464 Dividing rational expressions involving quadratics with leading coefficients greater than 1
alge465 Dividing rational expressions involving multivariate quadratics
alge466 Multiplication and division of 3 rational expressions
arith070 Least common multiple of 2 numbers
arith804 Least common multiple of 3 numbers
alge737 Introduction to the LCM of two monomials
alge055 Least common multiple of two monomials
alge427 Finding the LCD of rational expressions with linear denominators: Relatively prime
alge428 Finding the LCD of rational expressions with linear denominators: Common factors
alge429 Finding the LCD of rational expressions with quadratic denominators
alge430 Writing equivalent rational expressions with monomial denominators
alge431 Writing equivalent rational expressions with polynomial denominators
alge304 Writing equivalent rational expressions involving opposite factors
alge432 Introduction to adding fractions with variables and common denominators
alge433 Adding rational expressions with common denominators and monomial numerators
alge056 Adding rational expressions with common denominators and binomial numerators
alge434 Adding rational expressions with common denominators and GCF factoring
alge436 Adding rational expressions with different denominators and a single occurrence of a variable
alge437 Adding rational expressions with denominators ax and bx: Basic
alge439 Adding rational expressions with denominators axn and bxm
alge440 Adding rational expressions with multivariate monomial denominators: Basic
alge441 Adding rational expressions with linear denominators without common factors: Basic
alge443 Adding rational expressions with linear denominators with common factors: Basic
alge445 Adding rational expressions with denominators ax-b and b-ax
arith695 Complex fraction without variables: Problem type 1
arith696 Complex fraction without variables: Problem type 2
alge470 Complex fraction involving univariate monomials
alge058 Complex fraction involving multivariate monomials
alge471 Complex fraction: GCF factoring
alge473 Complex fraction made of sums involving rational expressions: Problem type 1
alge474 Complex fraction made of sums involving rational expressions: Problem type 2
alge475 Complex fraction made of sums involving rational expressions: Problem type 3
alge476 Complex fraction made of sums involving rational expressions: Problem type 4
alge477 Complex fraction made of sums involving rational expressions: Problem type 5
alge478 Complex fraction made of sums involving rational expressions: Problem type 6
alge479 Complex fraction made of sums involving rational expressions: Multivariate
alge480 Complex fraction with negative exponents: Problem type 1
alge481 Complex fraction with negative exponents: Problem type 2
alge162 Complex fraction that contains a complex fraction
alge413 Finding all square roots of a number
arith601 Square root of a rational perfect square
arith760 Square roots of perfect squares with signs
arith761 Square roots of integers raised to even exponents
alge415 Introduction to simplifying a radical expression with an even exponent
B.11. COLLEGE ALGEBRA
alge264 Square root of a perfect square monomial
alge603 Introduction to solving an absolute value equation
alge537 Using absolute value to simplify square roots of perfect square monomials
arith094 Cube root of an integer
alge549 Finding nth roots of perfect nth powers with signs
arith768 Finding the nth root of a perfect nth power fraction
alge550 Finding the nth root of a perfect nth power monomial
alge538 Using absolute value to simplify higher radical expressions
alge812 Converting between radical form and exponent form
alge560 Rational exponents: Unit fraction exponents and whole number bases
alge561 Rational exponents: Unit fraction exponents and bases involving signs
alge250 Rational exponents: Non-unit fraction exponent with a whole number base
alge251 Rational exponents: Negative exponents and fractional bases
alge558 Rational exponents: Product rule
alge559 Rational exponents: Quotient rule
alge773 Rational exponents: Products and quotients with negative exponents
alge562 Rational exponents: Power of a power rule
alge249 Rational exponents: Powers of powers with negative exponents
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
alge520 Introduction to simplifying a radical expression with an odd exponent
alge521 Simplifying a radical expression with an odd exponent
alge275 Simplifying a radical expression with two variables
alge273 Simplifying a higher root of a whole number
alge551 Introduction to simplifying a higher radical expression
alge552 Simplifying a higher radical expression: Univariate
alge811 Simplifying a higher radical expression: Multivariate
arith767 Introduction to square root addition or subtraction
arith032 Square root addition or subtraction
alge533 Square root addition or subtraction with three terms
alge531 Introduction to simplifying a sum or difference of radical expressions: Univariate
alge532 Simplifying a sum or difference of radical expressions: Univariate
alge084 Simplifying a sum or difference of radical expressions: Multivariate
alge554 Simplifying a sum or difference of higher roots
alge555 Simplifying a sum or difference of higher radical expressions
arith764 Introduction to square root multiplication
arith765 Square root multiplication: Basic
alge522 Introduction to simplifying a product of radical expressions: Univariate
alge523 Simplifying a product of radical expressions: Univariate
alge640 Simplifying a product of radical expressions: Multivariate
alge082 Simplifying a product of radical expressions: Multivariate, fractional expressions
alge556 Introduction to simplifying a product of higher roots
alge557 Simplifying a product of higher radical expressions
alge525 Introduction to simplifying a product involving square roots using the distributive property
alge526 Simplifying a product involving square roots using the distributive property: Basic
alge276 Simplifying a product involving square roots using the distributive property: Advanced
alge774 Special products of radical expressions: Conjugates and squaring
alge984 Classifying sums and products as rational or irrational
arith766 Simplifying a quotient of square roots
alge530 Simplifying a quotient involving a sum or difference with a square root
alge527 Rationalizing a denominator: Quotient involving square roots
alge528 Rationalizing a denominator: Square root of a fraction
alge529 Rationalizing a denominator: Quotient involving a monomial
alge534 Rationalizing a denominator using conjugates: Integer numerator
alge535 Rationalizing a denominator using conjugates: Square root in numerator
alge536 Rationalizing a denominator using conjugates: Variable in denominator
alge564 Rationalizing a denominator: Quotient involving a higher radical
alge775 Rationalizing a denominator: Quotient involving higher radicals and monomials
alge563 Simplifying products or quotients of higher radicals with different indices: Univariate
alge776 Simplifying products or quotients of higher radicals with different indices: Multivariate
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APPENDIX B. SYLLABI IN ALEKS
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
geom802 Circumference and area of a circle
geom477 Circumference and area of a circle: Exact answers in terms of pi
geom302 Area involving rectangles and circles
geom036 Word problem involving the area between two concentric circles
geom214 Area involving inscribed figures
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
geom622 Volume of a cone
geom086 Volume of a cone: Exact answers in terms of pi
geom841 Volume of a sphere
geom031 Surface area of a cube or a rectangular prism
geom091 Surface area of a triangular prism
geom621 Surface area of a cylinder
geom034 Surface area of a cylinder: Exact answers in terms of pi
geom842 Surface area of a sphere
alge407 Introduction to the Pythagorean Theorem
geom044 Pythagorean Theorem
alge408 Word problem involving the Pythagorean Theorem
Equations and Inequalities
alge836 Additive property of equality with signed fractions
alge012 Multiplicative property of equality with signed fractions
alge837 Solving a multi-step equation given in fractional form
alge986 Identifying properties used to solve a linear equation
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
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
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
alge840 Solving a proportion of the form (x+a)&divide;b = c&divide;d
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
alge016 Translating a sentence into a one-step equation
alge841 Translating a sentence into a multi-step equation
alge014 Solving a word problem with two unknowns using a linear equation
B.11. COLLEGE ALGEBRA
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
alge730 Writing a multi-step equation for a real-world situation
alge794 Solving a value mixture problem using a linear equation
alge823 Solving a one-step word problem using the formula d = rt
alge796 Solving a distance, rate, time problem using a linear equation
geom817 Finding a side length given the perimeter and side lengths with variables
geom143 Finding the perimeter or area of a rectangle given one of these values
geom838 Circumference ratios
geom530 Solving equations involving vertical angles
geom628 Finding angle measures of a triangle given angles with variables
stat803 Finding the value for a new score that will yield a given mean
arith852 Finding the multiplier to give a final amount after a percentage increase or decrease
arith847 Finding the sale price given the original price and percent discount
arith848 Finding the total cost including tax or markup
arith031 Finding the original price given the sale price and percent discount
arith854 Computing a percent mixture
alge795 Solving a percent mixture problem using a linear equation
arith232 Finding simple interest without a calculator
arith514 Converting a repeating decimal to a fraction
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
alge167 Solving an absolute value equation of the form —ax+b— = —cx+d—
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
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
set001 Set builder notation
set004 Set builder and interval notation
set002 Union and intersection of finite sets
set005 Union and intersection of intervals
alge844 Identifying solutions to a two-step linear inequality in one variable
alge852 Additive property of inequality with signed fractions
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: Graph solution, basic
alge747 Solving a compound linear inequality: Interval notation
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
alge868 Solving an absolute value inequality: Problem type 1
alge943 Writing an absolute value inequality given a graph on the number line
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
alge271 Solving a proportion of the form a/(x+b) = c/x
alge060 Solving a rational equation that simplifies to linear: Denominator x
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APPENDIX B. SYLLABI IN ALEKS
alge205 Solving a rational equation that simplifies to linear: Denominator x+a
alge769 Solving a rational equation that simplifies to linear: Denominators a, x, or ax
alge421 Solving a rational equation that simplifies to linear: Denominators ax and bx
alge422 Solving a rational equation that simplifies to linear: Like binomial denominators
alge206 Solving a rational equation that simplifies to linear: Unlike binomial denominators
alge508 Solving for a variable in terms of other variables in a rational equation: Problem type 1
alge509 Solving for a variable in terms of other variables in a rational equation: Problem type 2
alge510 Solving for a variable in terms of other variables in a rational equation: Problem type 3
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
geom133 Ratio of volumes
arith612 Word problem involving multiple rates
alge770 Solving a work problem using a rational equation
alge450 Solving a distance, rate, time problem using a rational equation
alge059 Ordering fractions with variables
alge778 Using i to rewrite square roots of negative numbers
alge779 Simplifying a product and quotient involving square roots of negative numbers
pcalc048 Adding or subtracting complex numbers
pcalc049 Multiplying complex numbers
pcalc050 Dividing complex numbers
pcalc053 Simplifying a power of i
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
alge046 Roots of a product of polynomials
alge163 Writing a quadratic equation given the roots and the leading coefficient
alge703 Solving a word problem using a quadratic equation with rational roots
alge713 Using the Pythagorean Theorem and a quadratic equation to find side lengths of a right triangle
alge962 Solving an equation of the form x2 = a using the square root property
alge092 Solving a quadratic equation using the square root property: Exact answers, basic
alge094 Completing the square
pcalc051 Solving a quadratic equation with complex roots
alge214 Discriminant of a quadratic equation
alge193 Discriminant of a quadratic equation with parameter
alge524 Solving a word problem using a quadratic equation with irrational roots
alge093 Solving an equation using the odd-root property: Problem type 1
alge228 Solving an equation using the odd-root property: Problem type 2
alge467 Restriction on a variable in a denominator: Quadratic
alge423 Solving a rational equation that simplifies to linear: Factorable quadratic denominator
alge424 Solving a rational equation that simplifies to quadratic: Proportional form, basic
alge425 Solving a rational equation that simplifies to quadratic: Denominator x
alge212 Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators
alge062 Solving a rational equation that simplifies to quadratic: Binomial denominators and numerators
alge426 Solving a rational equation that simplifies to quadratic: Factorable quadratic denominator
alge047 Solving a rational equation that simplifies to quadratic: Proportional form, advanced
alge400 Introduction to solving a radical equation
alge089 Solving a radical equation that simplifies to a linear equation: One radical, basic
alge090 Solving a radical equation that simplifies to a linear equation: Two radicals
alge405 Solving a radical equation with two radicals that simplifies to sqrt(x) = a
B.11. COLLEGE ALGEBRA
alge182
alge412
alge542
alge409
alge410
alge417
alge416
alge418
alge230
alge231
alge781
alge782
Word problem involving radical equations: Basic
Solving an equation with a root index greater than 2: Problem type 1
Solving an equation with a root index greater than 2: Problem type 2
Solving an equation with exponent 1/a: Problem type 1
Solving an equation with exponent 1/a: Problem type 2
Solving an equation with positive rational exponent
Solving an equation with negative rational exponent
Solving an equation that can be written in quadratic form: Problem type 1
Solving an equation that can be written in quadratic form: Problem type 2
Graphs and Functions
alge064 Reading a point in the coordinate plane
alge067 Plotting a point in the coordinate plane
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
geom437 Finding the area of a triangle or parallelogram in the coordinate plane
alge850 Table for a linear equation
alge132 Distance between two points in the plane: Exact answers
alge324 Distance between two points in the plane: Decimal answers
geom323 Identifying scalene, isosceles, and equilateral triangles given coordinates of their vertices
alge191 Midpoint of a line segment in the plane
alge414 Finding an endpoint of a line segment given the other endpoint and the midpoint
alge873 Identifying solutions to a linear equation in two variables
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
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
pcalc750 Finding intercepts of a nonlinear function given its graph
pcalc678 Finding x- and y-intercepts of the graph of a nonlinear equation
alge913 Graphing an absolute value equation of the form y = A—x—
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
pcalc416 Determining if graphs have symmetry with respect to the x-axis, y-axis, or origin
pcalc679 Testing an equation for symmetry about the axes and origin
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
alge259 Graphing a line given its slope and y-intercept
alge196 Graphing a line through a given point with a given slope
alge874 Identifying linear functions given ordered pairs
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
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APPENDIX B. SYLLABI IN ALEKS
alge892 Writing an equation and graphing a line given its slope and y-intercept
alge314 Finding the slope, y-intercept, and equation for a linear function given a table of values
alge893 Writing an equation in slope-intercept form given the slope and a point
alge318 Finding the slope and a point on a line given its equation in point-slope form
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
alge313 Writing an equation in standard 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
alge322 Comparing linear functions to the parent function y=x
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
geom462 Identifying parallel and perpendicular lines from coordinates
geom322 Identifying coordinates that give right triangles
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
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
alge992 Combining functions to write a new function that models a real-world situation
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
alge991 Solving a linear equation by graphing
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
mstat069 Computing residuals
mstat070 Interpreting residual plots
mstat093 Classifying linear and nonlinear relationships from scatter plots
mstat071 Linear relationship and the correlation coefficient
mstat096 Identifying outliers and clustering in scatter plots
mstat095 Finding outliers in a data set
geom496 Identifying the center and radius to graph a circle given its equation in standard form
geom497 Identifying the center and radius to graph a circle given its equation in general form: Basic
geom668 Identifying the center and radius to graph a circle given its equation in general form: Advanced
geom499 Writing the equation of a circle centered at the origin given its radius or a point on the circle
geom495 Writing an equation of a circle and identifying points that lie on the circle
geom498 Writing an equation of a circle given its center and radius or diameter
geom493 Deriving the equation of a circle using the Pythagorean Theorem
pcalc065 Writing an equation of a circle given its center and a point on the circle
pcalc066 Writing an equation of a circle given the endpoints of a diameter
fun032 Identifying functions from relations
fun010 Vertical line test
fun001 Table for a linear function
pcalc760 Evaluating functions: Linear and quadratic or cubic
alge468 Evaluating a rational function: Problem type 1
alge469 Evaluating a rational function: Problem type 2
alge539 Table for a square root function
alge546 Evaluating a cube root function
pcalc682 Evaluating functions: Absolute value, rational, radical
fun030 Evaluating a piecewise-defined function
fun033 Variable expressions as inputs of functions: Problem type 1
pcalc571 Variable expressions as inputs of functions: Problem type 2
pcalc411 Variable expressions as inputs of functions: Problem type 3
fun016 Domain and range from ordered pairs
B.11. COLLEGE ALGEBRA
alge715 Domain of a rational function: Excluded values
pcalc412 Domain of a rational function: Interval notation
alge540 Domain of a square root function: Basic
pcalc763 Domain of a square root function: Advanced
alge547 Domains of higher root functions
pcalc754 Finding the domain of a fractional function involving radicals
pcalc924 Determining whether an equation defines a function: Basic
pcalc757 Determining whether an equation defines a function: Advanced
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
pcalc471 Rewriting a multivariate function as a univariate function given a relationship between its variables
pcalc753 Finding a difference quotient for a linear or quadratic function
pcalc414 Finding a difference quotient for a rational function
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
alge312 Finding domain and range from a linear graph in context
fun024 Domain and range from the graph of a continuous function
fun025 Domain and range from the graph of a piecewise function
alge999 Finding where a function is increasing, decreasing, or constant given the graph
pcalc751 Finding where a function is increasing, decreasing, or constant given the graph: Interval notation
pcalc752 Finding local maxima and minima of a function given the graph
pcalc439 Finding the absolute maximum and minimum of a function given the graph
pcalc417 Finding values and intervals where the graph of a function is zero, positive, or negative
mstat018 Choosing a graph to fit a narrative: Basic
mstat051 Choosing a graph to fit a narrative: Advanced
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
alge900 Graphing an absolute value equation in the plane: Basic
alge168 Graphing an absolute value equation in the plane: Advanced
alge572 Graphing a function of the form f(x) = ax2
alge573 Graphing a function of the form f(x) = ax2 + c
alge253 Graphing a parabola of the form y = (x-h)2 + k
alge543 Graphing a square root function: Problem type 1
alge544 Graphing a square root function: Problem type 2
alge545 Graphing a square root function: Problem type 3
alge548 Graphing a cube root function
pcalc443 Matching parent graphs with their equations
fun031 Graphing a piecewise-defined function: Problem type 1
pcalc444 Graphing a piecewise-defined function: Problem type 2
pcalc568 Graphing a piecewise-defined function: Problem type 3
pcalc114 Even and odd functions: Problem type 1
pcalc440 Even and odd functions: Problem type 2
pcalc768 Finding the average rate of change of a function
alge998 Finding the average rate of change of a function given its graph
pcalc442 Word problem involving average rate of change
pcalc441 Writing the equation of a secant line
pcalc467 Translating the graph of a parabola: One step
pcalc465 Translating the graph of a parabola: Two steps
alge723 How the leading coefficient affects the shape of a parabola
pcalc468 Translating the graph of an absolute value function: One step
alge899 Translating the graph of an absolute value function: Two steps
alge901 How the leading coefficient affects the graph of an absolute value function
alge185 Writing an equation for a function after a vertical translation
pcalc469 Translating the graph of a function: One step
pcalc770 Translating the graph of a function: Two steps
pcalc569 Transforming the graph of a function by reflecting over an axis
pcalc470 Transforming the graph of a function by shrinking or stretching
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APPENDIX B. SYLLABI IN ALEKS
pcalc570 Transforming the graph of a function using more than one transformation
pcalc466 Transforming the graph of a quadratic, cubic, square root, or absolute value function
fun020 Writing an equation for a function after a vertical and horizontal translation
fun019 Sum, difference, and product of two functions
alge786 Quotient of two functions: Basic
pcalc413 Quotient of two functions: Advanced
alge716 Introduction to the composition of two functions
fun022 Composition of two functions: Basic
pcalc484 Composition of a function with itself
pcalc776 Expressing a function as a composition of two functions
fun021 Composition of two functions: Domain and range
alge129 Composition of two functions: Advanced
pcalc483 Composition of two rational functions
pcalc485 Word problem involving composition of two functions
fun011 Horizontal line test
pcalc777 Determining whether two functions are inverses of each other
fun012 Inverse functions: Linear, discrete
pcalc573 Inverse functions: Quadratic, square root
pcalc572 Inverse functions: Cubic, cube root
alge130 Inverse functions: Rational
pcalc486 Graphing the inverse of a function given its graph
pcalc487 Finding, evaluating, and interpreting an inverse function for a given linear relationship
Polynomial and Rational Functions
alge974 Finding the vertex, x-intercepts, and axis of symmetry from the graph of a parabola
alge569 Graphing a parabola of the form y = x2 + bx + c
pcalc574 Graphing a parabola of the form y = a(x-h)2 + k
pcalc746 Graphing a parabola of the form y = ax2 + bx + c: Integer coefficients
pcalc747 Graphing a parabola of the form y = ax2 + bx + c: Rational coefficients
alge323 Finding the zeros of a quadratic function given its equation
pcalc714 Using a graphing calculator to find the zeros of a quadratic function
alge320 Writing a quadratic function given its zeros
alge277 Finding the x-intercept(s) and the vertex of a parabola
pcalc793 Using a graphing calculator to find the x-intercept(s) and vertex of a quadratic function
alge319 Rewriting a quadratic function in standard form
pcalc550 Rewriting a quadratic function to find its vertex and sketch its graph
pcalc775 Finding the maximum or minimum of a quadratic function
alge785 Word problem involving the maximum or minimum of a quadratic function
pcalc551 Word problem involving optimizing area by using a quadratic function
pcalc415 Domain and range from the graph of a quadratic function
pcalc762 Range of a quadratic function
pcalc680 Writing the equation of a quadratic function given its graph
alge957 Solving a quadratic equation by graphing
alge996 Comparing properties of quadratic functions given in different forms
alge702 Classifying the graph of a function
mstat102 Choosing a quadratic model and using it to make a prediction
pcalc546 Identifying polynomial functions
pcalc764 Finding zeros of a polynomial function written in factored form
pcalc547 Finding zeros and their multiplicities given a polynomial function written in factored form
pcalc766 Finding a polynomial of a given degree with given zeros: Real zeros
pcalc765 Finding x- and y-intercepts given a polynomial function
pcalc782 Determining the end behavior of the graph of a polynomial function
pcalc548 Determining end behavior and intercepts to graph a polynomial function
pcalc783 Matching graphs with polynomial functions
pcalc738 Inferring properties of a polynomial function from its graph
pcalc794 Using a graphing calculator to find local extrema of a polynomial function
pcalc115 Using a graphing calculator to solve a word problem involving a local extremum of a polynomial function
B.11. COLLEGE ALGEBRA
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
pcalc117 Synthetic division
pcalc786 Using the remainder theorem to evaluate a polynomial
pcalc787 The Factor Theorem
alge985 Closure properties of integers and polynomials
pcalc741 Using a given zero to write a polynomial as a product of linear factors: Real zeros
pcalc758 Finding all possible rational zeros using the rational zeros theorem: Problem type 1
pcalc759 Finding all possible rational zeros using the rational zeros theorem: Problem type 2
pcalc788 Descartes’ Rule of Signs
pcalc743 Using the rational zeros theorem to find all zeros of a polynomial: Rational zeros
pcalc744 Using the rational zeros theorem to find all zeros of a polynomial: Irrational zeros
pcalc795 Using a graphing calculator to find zeros of a polynomial function
pcalc704 Using a graphing calculator to solve a word problem involving a polynomial of degree 3
pcalc785 Multiplying expressions involving complex conjugates
pcalc767 Finding a polynomial of a given degree with given zeros: Complex zeros
pcalc742 Using a given zero to write a polynomial as a product of linear factors: Complex zeros
pcalc745 Using the rational zeros theorem to find all zeros of a polynomial: Complex zeros
pcalc703 Using the conjugate zeros theorem to find all zeros of a polynomial
pcalc705 Linear factors theorem and conjugate zeros theorem
pcalc552 Finding the intercepts, asymptotes, domain, and range from the graph of a rational function
pcalc917 Finding the asymptotes of a rational function: Constant over linear
pcalc918 Finding the asymptotes of a rational function: Linear over linear
pcalc790 Finding horizontal and vertical asymptotes of a rational function: Quadratic numerator or denominator
pcalc562 Finding the asymptotes of a rational function: Quadratic over linear
alge515 Graphing a rational function: Constant over linear
alge516 Graphing a rational function: Linear over linear
pcalc553 Transforming the graph of a rational function
pcalc109 Graphing a rational function: Quadratic over linear
pcalc792 Graphing rational functions with holes
pcalc791 Matching graphs with rational functions: Two vertical asymptotes
pcalc557 Graphing a rational function with more than one vertical asymptote
pcalc706 Writing the equation of a rational function given its graph
pcalc556 Using a graphing calculator to solve a word problem involving a local extremum of a rational function
alge784 Solving a quadratic inequality written in factored form
pcalc558 Solving a polynomial inequality: Problem type 1
pcalc560 Solving a polynomial inequality: Problem type 2
pcalc561 Solving a polynomial inequality: Problem type 3
pcalc559 Solving a polynomial inequality: Problem type 4
alge783 Solving a rational inequality: Problem type 1
pcalc677 Solving a rational inequality: Problem type 2
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
pcalc681 Writing an equation that models variation
alge772 Word problem on combined variation
Exponential and Logarithmic Functions
349
350
APPENDIX B. SYLLABI IN ALEKS
alge971 Table for an exponential function
pcalc488 Graphing an exponential function: f(x)=bx
pcalc489 Graphing an exponential function: f(x) = a(b)x
pcalc567 Graphing an exponential function: f(x)=b-x or f(x)=-bax
pcalc922 Translating the graph of an exponential function
alge321 Finding domain and range from the graph of an exponential function
pcalc797 The graph, domain, and range of an exponential function
pcalc490 Transforming the graph of a natural exponential function
pcalc103 Graphing an exponential function and its asymptote: f(x) = a(e)x-b + c
pcalc491 Using a calculator to evaluate exponential expressions
alge830 Evaluating an exponential function that models a real-world situation
pcalc555 Using a calculator to evaluate exponential expressions involving base e
pcalc919 Evaluating an exponential function with base e that models a real-world situation
arith853 Introduction to compound interest
arith910 Calculating and comparing simple interest and compound interest
alge177 Finding a final amount in a word problem on exponential growth or decay
alge741 Finding the final amount in a word problem on compound interest
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
mstat103 Choosing an exponential model and using it to make a prediction
alge993 Comparing linear, polynomial, and exponential functions
pcalc492 Using a calculator to evaluate natural and common logarithmic expressions
pcalc493 Converting between logarithmic and exponential equations
pcalc494 Converting between natural logarithmic and exponential equations
pcalc495 Evaluating logarithmic expressions
alge233 Solving an equation of the form logba = c
pcalc923 Translating the graph of a logarithmic function
alge788 Graphing a logarithmic function: Basic
pcalc800 The graph, domain, and range of a logarithmic function
pcalc801 Domain of a logarithmic function: Advanced
pcalc104 Graphing a logarithmic function: Advanced
pcalc708 Basic properties of logarithms
pcalc511 Using properties of logarithms to evaluate expressions
pcalc779 Expanding a logarithmic expression: Problem type 1
pcalc521 Expanding a logarithmic expression: Problem type 2
pcalc522 Expanding a logarithmic expression: Problem type 3
alge787 Writing an expression as a single logarithm
pcalc612 Change of base for logarithms: Problem type 1
pcalc613 Change of base for logarithms: Problem type 2
pcalc513 Solving a multi-step equation involving a single logarithm: Problem type 1
pcalc510 Solving a multi-step equation involving a single logarithm: Problem type 2
pcalc804 Solving a multi-step equation involving natural logarithms
alge113 Solving an equation involving logarithms on both sides: Problem type 1
pcalc805 Solving an equation involving logarithms on both sides: Problem type 2
alge301 Solving an exponential equation by finding common bases: Linear exponents
alge482 Solving an exponential equation by finding common bases: Linear and quadratic exponents
pcalc920 Solving an exponential equation by using logarithms: Decimal answers, basic
pcalc921 Solving an exponential equation by using natural logarithms: Decimal answers
alge111 Solving an exponential equation by using logarithms: Exact answers in logarithmic form
pcalc802 Solving an exponential equation by using substitution and quadratic factoring
alge178 Finding the time to reach a limit in a word problem on exponential growth or decay
pcalc524 Finding the time in a word problem on compound interest
pcalc508 Finding the time given an exponential function with base e that models a real-world situation
pcalc525 Finding the final amount in a word problem on continuous compound interest
pcalc527 Finding the initial amount in a word problem on continuous compound interest
pcalc526 Finding the final amount in a word problem on continuous exponential growth or decay
pcalc615 Finding the rate or time in a word problem on continuous exponential growth or decay
pcalc528 Finding half-life or doubling time
pcalc529 Writing and evaluating a function modeling continuous exponential growth or decay given doubling
time or half-life
B.11. COLLEGE ALGEBRA
pcalc530 Writing and evaluating a function modeling continuous exponential growth or decay given two outputs
Systems of Equations and Matrices
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
pcalc820 Using a graphing calculator to solve a system of linear equations: Basic
pcalc821 Using a graphing calculator to solve a system of linear equations: Advanced
alge317 Writing a system of linear equations given its graph
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 2x2 system of linear equations that is inconsistent or consistent dependent
alge077 Creating an inconsistent system of linear equations
alge988 Identifying the operations used to create equivalent systems of equations
pcalc099 Consistency and independence of a system of linear 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
alge192 Solving a percent mixture problem using a system of linear equations
alge224 Solving a distance, rate, time problem using a system of linear equations
alge172 Solving a tax rate or interest rate problem using a system of linear equations
pcalc496 Introduction to solving a 3x3 system of linear equations
alge753 Solving a 3x3 system of linear equations: Problem type 1
pcalc497 Solving a 3x3 system of linear equations: Problem type 2
pcalc498 Solving a 3x3 system of linear equations that is inconsistent or consistent dependent
alge793 Solving a word problem using a 3x3 system of linear equations: Problem type 1
pcalc549 Solving a word problem using a 3x3 system of linear equations: Problem type 2
pcalc037 Scalar multiplication of a matrix
pcalc038 Addition or subtraction of matrices
pcalc740 Linear combination of matrices
pcalc507 Squaring and multiplying 2x2 matrices
pcalc039 Multiplication of matrices: Basic
pcalc503 Word problem involving multiplication of matrices
pcalc504 Finding the inverse of a 2x2 matrix
pcalc505 Finding the inverse of a 3x3 matrix
pcalc042 Finding the determinant of a 2x2 matrix
pcalc043 Finding the determinant of a 3x3 matrix
pcalc564 Completing Gauss-Jordan elimination with a 2x2 matrix
pcalc712 Gauss-Jordan elimination with a 2x2 matrix
pcalc500 Writing solutions to 3x3 systems of linear equations from augmented matrices
pcalc499 Completing Gauss-Jordan elimination with a 3x3 matrix
pcalc046 Solving a system of linear equations given its augmented matrix
pcalc502 Finding the inverse of a matrix to solve a 2x2 system of linear equations
pcalc711 Using the inverse of a matrix to solve a 3x3 system of linear equations
pcalc045 Using Cramer’s rule to solve a 2x2 system of linear equations
pcalc047 Using Cramer’s rule to solve a 3x3 system of linear equations
pcalc531 Introduction to partial fraction decomposition with distinct linear factors
pcalc812 Partial fraction decomposition with distinct linear factors
pcalc813 Partial fraction decomposition with repeated linear factors
pcalc814 Partial fraction decomposition with an irreducible quadratic factor
pcalc533 Partial fraction decomposition with repeated, irreducible quadratic factors
alge994 Graphically solving a system of linear and quadratic equations
pcalc716 Using a graphing calculator to solve a system of linear and quadratic equations: Basic
351
352
APPENDIX B. SYLLABI IN ALEKS
pcalc796 Using a graphing calculator to solve a system of equations
pcalc806 Using a graphing calculator to solve an exponential or logarithmic equation
alge995 Solving a system of linear and quadratic equations
pcalc098 Solving a system of nonlinear equations: Problem type 1
pcalc534 Solving a system of nonlinear equations: Problem type 2
pcalc535 Solving a word problem involving geometry using a system of nonlinear equations
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
alge315 Writing an inequality given its graph in the plane: Horizontal or vertical boundary line
alge316 Writing an inequality given its graph in the plane: Slanted boundary line
pcalc748 Graphing a quadratic inequality: Problem type 1
pcalc749 Graphing a quadratic inequality: Problem type 2
pcalc536 Graphing an inequality involving a circle
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
pcalc096 Graphing a system of nonlinear inequalities: Problem type 1
alge729 Writing a multi-step inequality for a real-world situation
pcalc093 Solving a word problem using a system of linear inequalities: Problem type 1
pcalc537 Solving a word problem using a system of linear inequalities: Problem type 2
pcalc095 Linear programming
pcalc094 Solving a word problem using linear programming
Conic Sections
pcalc566
pcalc575
pcalc067
pcalc068
pcalc475
geom494
pcalc476
pcalc069
pcalc477
pcalc478
pcalc734
pcalc070
pcalc071
pcalc479
pcalc072
pcalc074
axis
pcalc073
pcalc097
pcalc480
pcalc735
pcalc075
pcalc076
pcalc481
pcalc077
pcalc078
pcalc482
pcalc079
pcalc736
Graphing a parabola of the form y2 = ax or x2 = ay
Graphing a parabola of the form x=a(y-k)2+h or y=a(x-h)2+k
Graphing a parabola of the form ay2 + by + cx + d = 0 or ax2 + bx + cy + d = 0
Writing an equation of a parabola given the vertex and the focus
Writing an equation of a parabola given the focus and the directrix
Deriving the equation of a parabola given its focus and directrix
Finding the vertex, focus, directrix, and axis of symmetry of a parabola
Finding the focus of a parabola of the form ay2 + by + cx + d = 0 or ax2 + bx + cy + d = 0
Writing an equation of a parabola given its graph
Word problem involving a parabola
Graphing an ellipse given its equation in standard form
Graphing an ellipse centered at the origin: Ax2 + By2 = C
Graphing an ellipse given its equation in general form
Finding the center, vertices, and foci of an ellipse
Finding the foci of an ellipse given its equation in general form
Writing an equation of an ellipse given the center, an endpoint of an axis, and the length of the other
Writing an equation of an ellipse given the foci and the major axis length
Graphing a system of nonlinear inequalities: Problem type 2
Word problem involving an ellipse
Graphing a hyperbola given its equation in standard form
Graphing a hyperbola centered at the origin: Ax2 - By2 - C = 0
Graphing a hyperbola given its equation in general form
Finding the center, vertices, foci, and asymptotes of a hyperbola
Finding the foci of a hyperbola given its equation in general form
Writing an equation of a hyperbola given the foci and the vertices
Writing an equation of a hyperbola given the foci and the asymptotes: Basic
Writing an equation of a hyperbola given the foci and the asymptotes: Advanced
Classifying conics given their equations
Sequences, Series, and Probability
B.11. COLLEGE ALGEBRA
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
pcalc080 Finding the first terms of a sequence using an explicit rule with multiple occurrences of n
alge906 Finding the next terms of an arithmetic sequence with integers
alge908 Finding the first terms of a sequence using a recursive rule
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
pcalc715 Finding a specified term of an arithmetic sequence given two terms of the sequence
alge909 Writing an explicit rule for an arithmetic sequence
alge910 Writing a recursive rule for an arithmetic sequence
pcalc718 Sum of the first n terms of 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
pcalc717 Finding a specified term of a geometric sequence given two terms of the sequence
pcalc713 Arithmetic and geometric sequences: Identifying and writing an explicit rule
alge911 Writing recursive rules for arithmetic and geometric sequences
pcalc719 Sum of the first n terms of a geometric sequence
pcalc720 Sum of an infinite geometric series
alge965 Identifying linear, quadratic, and exponential functions given ordered pairs
pcalc082 Factorial expressions
mstat041 Interpreting a tree diagram
mstat040 Introduction to the counting principle
mstat015 Counting principle
mstat017 Computing permutations and combinations
pcalc809 Introduction to permutations and combinations
pcalc810 Permutations and combinations: Problem type 1
pcalc089 Permutations and combinations: Problem type 2
pcalc090 Permutations and combinations: Problem type 3
pcalc087 Binomial formula
mstat099 Determining a sample space and outcomes for a simple event
mstat100 Determining a sample space and outcomes for a compound event
mstat010 Probability of an event
mstat046 Experimental and theoretical probability
stat106 Outcomes and event probability
mstat116 Probabilities of a permutation and a combination
mstat011 Area as probability
stat850 Probability of independent events
stat851 Probability of dependent events
stat117 Probabilities of draws with replacement
stat118 Probabilities of draws without replacement
mstat042 Interpreting a Venn diagram of 2 sets
mstat043 Interpreting a Venn diagram of 3 sets
stat119 Venn diagrams: Two events
stat101 Venn diagrams: Word problems
stat112 Probabilities involving two dice
mstat115 Determining outcomes for compound events and complements of events
mstat109 Using a Venn diagram to understand the addition rule for probability
mstat108 Outcomes and event probability: Addition rule
stat114 Probability of intersection or union: Word problems
mstat104 Identifying independent events given values of probabilities
stat115 Independent events: Basic
stat120 Probability of union: Basic
mstat110 Using a Venn diagram to understand the multiplication rule for probability
mstat107 Outcomes and event probability: Conditional probability
mstat105 Computing conditional probability using a two-way frequency table
mstat106 Computing conditional probability to make an inference using a two-way frequency table
stat116 Conditional probability: Basic
stat109 Intersection and conditional probability
353
354
APPENDIX B. SYLLABI IN ALEKS
stat174 Binomial problems: Basic
mstat114 Using a random number table to make a fair decision
B.12
Georgia MATH 0999-MATH 1111
Real Numbers
arith687 Fractional position on a number line
arith605 Plotting rational numbers on a number line
arith691 Ordering integers
arith602 Estimating a square root
arith712 Ordering real numbers
alge001 Identifying numbers as integers or non-integers
alge002 Identifying numbers as rational or irrational
arith070 Least common multiple of 2 numbers
arith804 Least common multiple of 3 numbers
arith116 Signed fraction addition or subtraction: Basic
arith864 Signed fraction subtraction involving double negation
arith811 Addition and subtraction of 3 fractions involving signs
arith822 Signed fraction multiplication: Basic
arith814 Signed fraction division
arith104 Operations with absolute value: Problem type 2
geom525 Computing distances between decimals on the number line
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
alge808 Evaluating a linear expression: Signed fraction multiplication with addition or subtraction
mstat065 Converting between temperatures in Fahrenheit and Celsius
alge188 Properties of real numbers
alge604 Distributive property: Integer coefficients
alge608 Using distribution and combining like terms to simplify: Univariate
alge609 Using distribution with double negation and combining like terms to simplify: Multivariate
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
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
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
geom622 Volume of a cone
geom841 Volume of a sphere
B.12. GEORGIA MATH 0999-MATH 1111
geom031
geom091
geom621
geom842
Surface
Surface
Surface
Surface
area
area
area
area
of
of
of
of
a
a
a
a
cube or a rectangular prism
triangular prism
cylinder
sphere
Linear Equations and Inequalities
alge836 Additive property of equality with signed fractions
alge012 Multiplicative property of equality with signed fractions
alge837 Solving a multi-step equation given in fractional form
alge986 Identifying properties used to solve a linear equation
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
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
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
alge840 Solving a proportion of the form (x+a)&divide;b = c&divide;d
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
alge016 Translating a sentence into a one-step equation
alge841 Translating a sentence into a multi-step equation
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
alge730 Writing a multi-step equation for a real-world situation
alge794 Solving a value mixture problem using a linear equation
alge823 Solving a one-step word problem using the formula d = rt
alge796 Solving a distance, rate, time problem using a linear equation
geom817 Finding a side length given the perimeter and side lengths with variables
geom143 Finding the perimeter or area of a rectangle given one of these values
geom838 Circumference ratios
geom530 Solving equations involving vertical angles
geom623 Finding angle measures of a triangle given angles with variables
stat803 Finding the value for a new score that will yield a given mean
arith852 Finding the multiplier to give a final amount after a percentage increase or decrease
arith847 Finding the sale price given the original price and percent discount
arith848 Finding the total cost including tax or markup
arith031 Finding the original price given the sale price and percent discount
arith854 Computing a percent mixture
alge795 Solving a percent mixture problem using a linear equation
arith232 Finding simple interest without a calculator
alge845 Translating a sentence into a one-step inequality
alge846 Translating a sentence into a multi-step inequality
355
356
APPENDIX B. SYLLABI IN ALEKS
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
set001 Set builder notation
set004 Set builder and interval notation
set002 Union and intersection of finite sets
set005 Union and intersection of intervals
alge844 Identifying solutions to a two-step linear inequality in one variable
alge852 Additive property of inequality with signed fractions
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
alge858 Solving a linear inequality with multiple occurrences of the variable: Problem
alge859 Solving a linear inequality with multiple occurrences of the variable: Problem
alge860 Solving inequalities with no solution or all real numbers as solutions
alge746 Solving a compound linear inequality: Graph solution, basic
alge747 Solving a compound linear inequality: Interval notation
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
alge603 Introduction to solving an absolute value equation
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
alge167 Solving an absolute value equation of the form —ax+b— = —cx+d—
alge868 Solving an absolute value inequality: Problem type 1
alge943 Writing an absolute value inequality given a graph on the number line
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
Lines and Functions
alge064
alge067
alge850
alge873
alge066
alge877
alge878
alge879
alge880
alge198
alge884
alge924
alge210
alge197
alge881
alge875
alge886
alge887
alge885
alge888
alge259
Reading a point in the coordinate plane
Plotting a point in the coordinate plane
Table for a linear equation
Identifying solutions to a linear equation in two variables
Finding a solution to a linear equation in two variables
Graphing a linear equation of the form y = mx
Graphing a line given its equation in slope-intercept form: Integer slope
Graphing a line given its equation in slope-intercept form: Fractional slope
Graphing a line given its equation in standard form
Graphing a vertical or horizontal line
Finding x- and y-intercepts given the graph of a line on a grid
Finding x- and y-intercepts of a line given the equation: Basic
Finding x- and y-intercepts of a line given the equation: Advanced
Graphing a line given its x- and y-intercepts
Graphing a line by first finding its x- and y-intercepts
Classifying slopes given graphs of lines
Finding slope given the graph of a line on a grid
Finding slope given two points on the line
Finding the slope of horizontal and vertical lines
Finding the coordinate that yields a given slope
Graphing a line given its slope and y-intercept
type 1
type 2
type 3
both sides
B.12. GEORGIA MATH 0999-MATH 1111
alge196 Graphing a line through a given point with a given slope
alge874 Identifying linear functions given ordered pairs
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
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
alge992 Combining functions to write a new function that models a real-world situation
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
alge991 Solving a linear equation by graphing
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
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
fun030 Evaluating a piecewise-defined function
fun033 Variable expressions as inputs of functions: Problem type 1
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
fun024 Domain and range from the graph of a continuous function
fun025 Domain and range from the graph of a piecewise function
pcalc750 Finding intercepts of a nonlinear function given its graph
alge999 Finding where a function is increasing, decreasing, or constant given the graph
pcalc751 Finding where a function is increasing, decreasing, or constant given the graph: Interval notation
pcalc752 Finding local maxima and minima of a function given the graph
mstat018 Choosing a graph to fit a narrative: Basic
mstat051 Choosing a graph to fit a narrative: Advanced
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
alge913 Graphing an absolute value equation of the form y = A—x—
alge954 Graphing a parabola of the form y = ax2
alge955 Graphing a parabola of the form y = ax2 + c
alge572 Graphing a function of the form f(x) = ax2
alge573 Graphing a function of the form f(x) = ax2 + c
357
358
APPENDIX B. SYLLABI IN ALEKS
alge262 Graphing a cubic function of the form y = ax3
fun031 Graphing a piecewise-defined function: Problem type 1
pcalc768 Finding the average rate of change of a function
alge998 Finding the average rate of change of a function given its graph
Exponents and Polynomials
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
arith029 Ordering numbers with positive exponents
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
alge756 Power and product rules with positive exponents
alge451 Simplifying a ratio of multivariate monomials: Basic
alge827 Introduction to the quotient rule of exponents
alge452 Simplifying a ratio of univariate monomials
alge026 Quotient of expressions involving exponents
alge453 Simplifying a ratio of multivariate monomials: Advanced
alge927 Power and quotient rules with positive exponents
alge790 Evaluating expressions with exponents of zero
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
alge961 Introduction to the product rule with negative exponents
alge028 Product rule with negative exponents
alge755 Quotient rule with negative exponents: Problem type 1
alge926 Quotient rule with negative exponents: Problem type 2
alge025 Power of a power rule with negative exponents
alge799 Power rules with negative 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
arith036 Scientific notation with positive exponent
arith037 Scientific notation with negative exponent
scinot012 Converting between scientific notation and standard form in a real-world situation
scinot008 Multiplying numbers written in scientific notation: Basic
scinot009 Multiplying numbers written in scientific notation: Advanced
scinot010 Dividing numbers written in scientific notation: Basic
scinot011 Dividing numbers written in scientific notation: Advanced
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
B.12. GEORGIA MATH 0999-MATH 1111
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
arith034 Prime numbers
arith035 Prime factorization
arith033 Greatest common factor of 2 numbers
alge605 Factoring a linear binomial
alge736 Introduction to the GCF of two monomials
alge930 Greatest common factor of three univariate monomials
alge037 Greatest common factor of two multivariate 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: GCF factoring, 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
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
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
alge041 Factoring a product of a quadratic trinomial and a monomial
alge042 Factoring with repeated use of the difference of squares formula
alge044 Factoring a sum or difference of two cubes
pcalc675 Factoring out a binomial from a polynomial: GCF factoring or substitution
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
alge046 Roots of a product of polynomials
alge163 Writing a quadratic equation given the roots and the leading coefficient
alge703 Solving a word problem using a quadratic equation with rational roots
alge407 Introduction to the Pythagorean Theorem
geom044 Pythagorean Theorem
alge408 Word problem involving the Pythagorean Theorem
alge713 Using the Pythagorean Theorem and a quadratic equation to find side lengths of a right triangle
Rational Expressions
alge049
alge467
alge468
alge469
alge715
alge454
Restriction on a variable in a denominator: Linear
Restriction on a variable in a denominator: Quadratic
Evaluating a rational function: Problem type 1
Evaluating a rational function: Problem type 2
Domain of a rational function: Excluded values
Simplifying a ratio of factored polynomials: Linear factors
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APPENDIX B. SYLLABI IN ALEKS
alge455 Simplifying a ratio of factored polynomials: Factors with exponents
alge456 Simplifying a ratio of polynomials using GCF factoring
alge457 Simplifying a ratio of linear polynomials: 1, -1, and no simplification
alge458 Simplifying a ratio of polynomials by factoring a quadratic with leading coefficient 1
alge710 Simplifying a ratio of polynomials: Problem type 1
alge682 Simplifying a ratio of polynomials: Problem type 2
alge459 Simplifying a ratio of polynomials: Problem type 3
alge034 Simplifying a ratio of multivariate polynomials
alge053 Multiplying rational expressions involving multivariate monomials
alge460 Multiplying rational expressions made up of linear expressions
alge461 Multiplying rational expressions involving quadratics with leading coefficients greater than 1
alge462 Multiplying rational expressions involving multivariate quadratics
alge054 Dividing rational expressions involving multivariate monomials
alge463 Dividing rational expressions involving linear expressions
alge464 Dividing rational expressions involving quadratics with leading coefficients greater than 1
alge465 Dividing rational expressions involving multivariate quadratics
alge466 Multiplication and division of 3 rational expressions
alge737 Introduction to the LCM of two monomials
alge055 Least common multiple of two monomials
alge427 Finding the LCD of rational expressions with linear denominators: Relatively prime
alge428 Finding the LCD of rational expressions with linear denominators: Common factors
alge429 Finding the LCD of rational expressions with quadratic denominators
alge430 Writing equivalent rational expressions with monomial denominators
alge431 Writing equivalent rational expressions with polynomial denominators
alge304 Writing equivalent rational expressions involving opposite factors
alge432 Introduction to adding fractions with variables and common denominators
alge433 Adding rational expressions with common denominators and monomial numerators
alge056 Adding rational expressions with common denominators and binomial numerators
alge434 Adding rational expressions with common denominators and GCF factoring
alge436 Adding rational expressions with different denominators and a single occurrence of a variable
alge437 Adding rational expressions with denominators ax and bx: Basic
alge439 Adding rational expressions with denominators axn and bxm
alge440 Adding rational expressions with multivariate monomial denominators: Basic
alge441 Adding rational expressions with linear denominators without common factors: Basic
alge443 Adding rational expressions with linear denominators with common factors: Basic
alge445 Adding rational expressions with denominators ax-b and b-ax
arith695 Complex fraction without variables: Problem type 1
arith696 Complex fraction without variables: Problem type 2
alge470 Complex fraction involving univariate monomials
alge058 Complex fraction involving multivariate monomials
alge471 Complex fraction: GCF factoring
alge473 Complex fraction made of sums involving rational expressions: Problem type 1
alge474 Complex fraction made of sums involving rational expressions: Problem type 2
alge475 Complex fraction made of sums involving rational expressions: Problem type 3
alge476 Complex fraction made of sums involving rational expressions: Problem type 4
alge477 Complex fraction made of sums involving rational expressions: Problem type 5
alge478 Complex fraction made of sums involving rational expressions: Problem type 6
alge479 Complex fraction made of sums involving rational expressions: Multivariate
alge480 Complex fraction with negative exponents: Problem type 1
alge481 Complex fraction with negative exponents: Problem type 2
alge162 Complex fraction that contains a complex fraction
alge271 Solving a proportion of the form a/(x+b) = c/x
B.12. GEORGIA MATH 0999-MATH 1111
alge060 Solving a rational equation that simplifies to linear: Denominator x
alge205 Solving a rational equation that simplifies to linear: Denominator x+a
alge769 Solving a rational equation that simplifies to linear: Denominators a, x, or ax
alge421 Solving a rational equation that simplifies to linear: Denominators ax and bx
alge422 Solving a rational equation that simplifies to linear: Like binomial denominators
alge206 Solving a rational equation that simplifies to linear: Unlike binomial denominators
alge423 Solving a rational equation that simplifies to linear: Factorable quadratic denominator
alge424 Solving a rational equation that simplifies to quadratic: Proportional form, basic
alge425 Solving a rational equation that simplifies to quadratic: Denominator x
alge212 Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators
alge062 Solving a rational equation that simplifies to quadratic: Binomial denominators and numerators
alge426 Solving a rational equation that simplifies to quadratic: Factorable quadratic denominator
alge047 Solving a rational equation that simplifies to quadratic: Proportional form, advanced
alge508 Solving for a variable in terms of other variables in a rational equation: Problem type 1
alge509 Solving for a variable in terms of other variables in a rational equation: Problem type 2
alge510 Solving for a variable in terms of other variables in a rational equation: Problem type 3
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
geom133 Ratio of volumes
arith612 Word problem involving multiple rates
alge770 Solving a work problem using a rational equation
alge450 Solving a distance, rate, time problem using a rational equation
alge059 Ordering fractions with variables
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
pcalc681 Writing an equation that models variation
alge772 Word problem on combined variation
alge413 Finding all square roots of a number
arith601 Square root of a rational perfect square
arith760 Square roots of perfect squares with signs
arith761 Square roots of integers raised to even exponents
alge415 Introduction to simplifying a radical expression with an even exponent
alge264 Square root of a perfect square monomial
alge537 Using absolute value to simplify square roots of perfect square monomials
arith094 Cube root of an integer
alge549 Finding nth roots of perfect nth powers with signs
arith768 Finding the nth root of a perfect nth power fraction
alge550 Finding the nth root of a perfect nth power monomial
alge538 Using absolute value to simplify higher radical expressions
alge539 Table for a square root function
alge546 Evaluating a cube root function
alge540 Domain of a square root function: Basic
pcalc763 Domain of a square root function: Advanced
alge547 Domains of higher root functions
alge543 Graphing a square root function: Problem type 1
alge544 Graphing a square root function: Problem type 2
361
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APPENDIX B. SYLLABI IN ALEKS
alge545 Graphing a square root function: Problem type 3
alge548 Graphing a cube root function
alge812 Converting between radical form and exponent form
alge560 Rational exponents: Unit fraction exponents and whole number bases
alge561 Rational exponents: Unit fraction exponents and bases involving signs
alge250 Rational exponents: Non-unit fraction exponent with a whole number base
alge251 Rational exponents: Negative exponents and fractional bases
alge558 Rational exponents: Product rule
alge559 Rational exponents: Quotient rule
alge773 Rational exponents: Products and quotients with negative exponents
alge562 Rational exponents: Power of a power rule
alge249 Rational exponents: Powers of powers with negative exponents
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
alge520 Introduction to simplifying a radical expression with an odd exponent
alge521 Simplifying a radical expression with an odd exponent
alge275 Simplifying a radical expression with two variables
alge273 Simplifying a higher root of a whole number
alge551 Introduction to simplifying a higher radical expression
alge552 Simplifying a higher radical expression: Univariate
alge811 Simplifying a higher radical expression: Multivariate
arith767 Introduction to square root addition or subtraction
arith032 Square root addition or subtraction
alge533 Square root addition or subtraction with three terms
alge531 Introduction to simplifying a sum or difference of radical expressions: Univariate
alge532 Simplifying a sum or difference of radical expressions: Univariate
alge084 Simplifying a sum or difference of radical expressions: Multivariate
alge554 Simplifying a sum or difference of higher roots
alge555 Simplifying a sum or difference of higher radical expressions
arith764 Introduction to square root multiplication
arith765 Square root multiplication: Basic
alge522 Introduction to simplifying a product of radical expressions: Univariate
alge523 Simplifying a product of radical expressions: Univariate
alge640 Simplifying a product of radical expressions: Multivariate
alge082 Simplifying a product of radical expressions: Multivariate, fractional expressions
alge556 Introduction to simplifying a product of higher roots
alge557 Simplifying a product of higher radical expressions
alge525 Introduction to simplifying a product involving square roots using the distributive property
alge526 Simplifying a product involving square roots using the distributive property: Basic
alge276 Simplifying a product involving square roots using the distributive property: Advanced
alge774 Special products of radical expressions: Conjugates and squaring
alge984 Classifying sums and products as rational or irrational
arith766 Simplifying a quotient of square roots
alge530 Simplifying a quotient involving a sum or difference with a square root
alge527 Rationalizing a denominator: Quotient involving square roots
alge528 Rationalizing a denominator: Square root of a fraction
alge529 Rationalizing a denominator: Quotient involving a monomial
alge534 Rationalizing a denominator using conjugates: Integer numerator
alge535 Rationalizing a denominator using conjugates: Square root in numerator
alge536 Rationalizing a denominator using conjugates: Variable in denominator
alge564 Rationalizing a denominator: Quotient involving a higher radical
alge775 Rationalizing a denominator: Quotient involving higher radicals and monomials
alge563 Simplifying products or quotients of higher radicals with different indices: Univariate
alge776 Simplifying products or quotients of higher radicals with different indices: Multivariate
alge400 Introduction to solving a radical equation
pcalc682 Evaluating functions: Absolute value, rational, radical
pcalc754 Finding the domain of a fractional function involving radicals
alge089 Solving a radical equation that simplifies to a linear equation: One radical, basic
alge090 Solving a radical equation that simplifies to a linear equation: Two radicals
B.12. GEORGIA MATH 0999-MATH 1111
alge405 Solving a radical equation with two radicals that simplifies to sqrt(x) = a
alge412 Algebraic symbol manipulation with radicals
alge542 Word problem involving radical equations: Basic
alge410 Solving an equation with a root index greater than 2: Problem type 1
alge417 Solving an equation with a root index greater than 2: Problem type 2
alge416 Solving an equation with exponent 1/a: Problem type 1
alge418 Solving an equation with exponent 1/a: Problem type 2
alge778 Using i to rewrite square roots of negative numbers
alge779 Simplifying a product and quotient involving square roots of negative numbers
pcalc048 Adding or subtracting complex numbers
pcalc049 Multiplying complex numbers
pcalc050 Dividing complex numbers
pcalc053 Simplifying a power of i
alge962 Solving an equation of the form x2 = a using the square root property
alge092 Solving a quadratic equation using the square root property: Exact answers, basic
alge094 Completing the square
pcalc051 Solving a quadratic equation with complex roots
alge214 Discriminant of a quadratic equation
alge193 Discriminant of a quadratic equation with parameter
alge524 Solving a word problem using a quadratic equation with irrational roots
alge093 Solving an equation using the odd-root property: Problem type 1
alge228 Solving an equation using the odd-root property: Problem type 2
alge230 Solving an equation with positive rational exponent
alge231 Solving an equation with negative rational exponent
alge781 Solving an equation that can be written in quadratic form: Problem type 1
alge782 Solving an equation that can be written in quadratic form: Problem type 2
alge974 Finding the vertex, x-intercepts, and axis of symmetry from the graph of a parabola
alge253 Graphing a parabola of the form y = (x-h)2 + k
alge569 Graphing a parabola of the form y = x2 + bx + c
pcalc746 Graphing a parabola of the form y = ax2 + bx + c: Integer coefficients
pcalc747 Graphing a parabola of the form y = ax2 + bx + c: Rational coefficients
alge277 Finding the x-intercept(s) and the vertex of a parabola
pcalc793 Using a graphing calculator to find the x-intercept(s) and vertex of a quadratic function
pcalc774 Rewriting a quadratic function to find the vertex of its graph
pcalc775 Finding the maximum or minimum of a quadratic function
alge785 Word problem involving the maximum or minimum of a quadratic function
alge975 Domain and range from the graph of a parabola
pcalc762 Range of a quadratic function
pcalc680 Writing the equation of a quadratic function given its graph
alge957 Solving a quadratic equation by graphing
alge996 Comparing properties of quadratic functions given in different forms
alge702 Classifying the graph of a function
pcalc679 Testing an equation for symmetry about the axes and origin
pcalc114 Even and odd functions: Problem type 1
alge953 Translating the graph of a parabola: One step
alge723 How the leading coefficient affects the shape of a parabola
alge898 Translating the graph of an absolute value function: One step
alge899 Translating the graph of an absolute value function: Two steps
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APPENDIX B. SYLLABI IN ALEKS
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
alge185 Writing an equation for a function after a vertical translation
pcalc769 Translating the graph of a function: One step
pcalc770 Translating the graph of a function: Two steps
pcalc771 Transforming the graph of a function by reflecting over an axis
pcalc772 Transforming the graph of a function by shrinking or stretching
pcalc773 Transforming the graph of a function using more than one transformation
fun020 Writing an equation for a function after a vertical and horizontal translation
fun019 Sum, difference, and product of two functions
pcalc753 Finding a difference quotient for a linear or quadratic function
alge786 Quotient of two functions: Basic
fun022 Composition of two functions: Basic
pcalc776 Expressing a function as a composition of two functions
fun021 Composition of two functions: Domain and range
alge129 Composition of two functions: Advanced
pcalc924 Determining whether an equation defines a function: Basic
pcalc757 Determining whether an equation defines a function: Advanced
fun011 Horizontal line test
pcalc777 Determining whether two functions are inverses of each other
fun012 Inverse functions: Linear, discrete
alge130 Inverse functions: Rational
Polynomial and Rational Functions
pcalc764 Finding zeros of a polynomial function written in factored form
pcalc766 Finding a polynomial of a given degree with given zeros: Real zeros
pcalc765 Finding x- and y-intercepts given a polynomial function
pcalc678 Finding x- and y-intercepts of the graph of a nonlinear equation
pcalc782 Determining the end behavior of the graph of a polynomial function
pcalc783 Matching graphs with polynomial functions
pcalc738 Inferring properties of a polynomial function from its graph
pcalc794 Using a graphing calculator to find local extrema of a polynomial function
pcalc115 Using a graphing calculator to solve a word problem involving a local extremum of a polynomial function
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
pcalc117 Synthetic division
alge985 Closure properties of integers and polynomials
pcalc786 Using the remainder theorem to evaluate a polynomial
pcalc787 The Factor Theorem
pcalc741 Using a given zero to write a polynomial as a product of linear factors: Real zeros
pcalc758 Finding all possible rational zeros using the rational zeros theorem: Problem type 1
pcalc759 Finding all possible rational zeros using the rational zeros theorem: Problem type 2
pcalc788 Descartes’ Rule of Signs
pcalc743 Using the rational zeros theorem to find all zeros of a polynomial: Rational zeros
pcalc744 Using the rational zeros theorem to find all zeros of a polynomial: Irrational zeros
pcalc795 Using a graphing calculator to find zeros of a polynomial function
pcalc704 Using a graphing calculator to solve a word problem involving a polynomial of degree 3
pcalc785 Multiplying expressions involving complex conjugates
pcalc767 Finding a polynomial of a given degree with given zeros: Complex zeros
pcalc742 Using a given zero to write a polynomial as a product of linear factors: Complex zeros
pcalc745 Using the rational zeros theorem to find all zeros of a polynomial: Complex zeros
B.12. GEORGIA MATH 0999-MATH 1111
pcalc703 Using the conjugate zeros theorem to find all zeros of a polynomial
pcalc705 Linear factors theorem and conjugate zeros theorem
pcalc917 Finding the asymptotes of a rational function: Constant over linear
pcalc918 Finding the asymptotes of a rational function: Linear over linear
pcalc790 Finding horizontal and vertical asymptotes of a rational function: Quadratic numerator or denominator
alge515 Graphing a rational function: Constant over linear
alge516 Graphing a rational function: Linear over linear
pcalc109 Graphing a rational function: Quadratic over linear
pcalc792 Graphing rational functions with holes
pcalc791 Matching graphs with rational functions: Two vertical asymptotes
pcalc706 Writing the equation of a rational function given its graph
alge784 Solving a quadratic inequality written in factored form
pcalc676 Solving a polynomial inequality
alge783 Solving a rational inequality: Problem type 1
pcalc677 Solving a rational inequality: Problem type 2
Exponential and Logarithmic Functions
alge971 Table for an exponential function
alge969 Graphing an exponential function: f(x) = ax
alge970 Graphing an exponential function: f(x) = a(b)x
alge712 Graphing an exponential function and its asymptote: f(x) = a(b)x
pcalc922 Translating the graph of an exponential function
pcalc797 The graph, domain, and range of an exponential function
pcalc103 Graphing an exponential function and its asymptote: f(x) = a(e)x-b + c
alge830 Evaluating an exponential function that models a real-world situation
pcalc919 Evaluating an exponential function with base e that models a real-world situation
arith853 Introduction to compound interest
alge177 Finding a final amount in a word problem on exponential growth or decay
alge741 Finding the final amount in a word problem on compound interest
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
alge993 Comparing linear, polynomial, and exponential functions
alge108 Converting between logarithmic and exponential equations
pcalc799 Converting between natural logarithmic and exponential equations
alge232 Evaluating a logarithmic expression
alge233 Solving an equation of the form logba = c
pcalc923 Translating the graph of a logarithmic function
alge788 Graphing a logarithmic function: Basic
pcalc800 The graph, domain, and range of a logarithmic function
pcalc801 Domain of a logarithmic function: Advanced
pcalc104 Graphing a logarithmic function: Advanced
pcalc708 Basic properties of logarithms
pcalc779 Expanding a logarithmic expression: Problem type 1
pcalc780 Expanding a logarithmic expression: Problem type 2
alge787 Writing an expression as a single logarithm
pcalc612 Change of base for logarithms: Problem type 1
pcalc613 Change of base for logarithms: Problem type 2
pcalc803 Solving a multi-step equation involving a single logarithm
pcalc804 Solving a multi-step equation involving natural logarithms
alge113 Solving an equation involving logarithms on both sides: Problem type 1
pcalc805 Solving an equation involving logarithms on both sides: Problem type 2
alge301 Solving an exponential equation by finding common bases: Linear exponents
alge482 Solving an exponential equation by finding common bases: Linear and quadratic exponents
pcalc920 Solving an exponential equation by using logarithms: Decimal answers, basic
pcalc921 Solving an exponential equation by using natural logarithms: Decimal answers
alge111 Solving an exponential equation by using logarithms: Exact answers in logarithmic form
pcalc802 Solving an exponential equation by using substitution and quadratic factoring
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APPENDIX B. SYLLABI IN ALEKS
alge178 Finding the time to reach a limit in a word problem on exponential growth or decay
pcalc614 Finding the initial or final amount in a word problem on exponential growth or decay
pcalc615 Finding the rate or time in a word problem on continuous exponential growth or decay
Conic Sections
alge132 Distance between two points in the plane: Exact answers
alge191 Midpoint of a line segment in the plane
alge414 Finding an endpoint of a line segment given the other endpoint and the midpoint
pcalc067 Graphing a parabola of the form ay2 + by + cx + d = 0 or ax2 + bx + cy + d = 0
pcalc068 Writing an equation of a parabola given the vertex and the focus
pcalc069 Finding the focus of a parabola of the form ay2 + by + cx + d = 0 or ax2 + bx + cy + d = 0
pcalc605 Graphing a circle given its equation in standard form
pcalc128 Graphing a circle given its equation in general form: Basic
pcalc129 Graphing a circle given its equation in general form: Advanced
pcalc065 Writing an equation of a circle given its center and a point on the circle
pcalc066 Writing an equation of a circle given the endpoints of a diameter
pcalc734 Graphing an ellipse given its equation in standard form
pcalc070 Graphing an ellipse centered at the origin: Ax2 + By2 = C
pcalc071 Graphing an ellipse given its equation in general form
pcalc072 Finding the foci of an ellipse given its equation in general form
pcalc074 Writing an equation of an ellipse given the center, an endpoint of an axis, and the length of the other
axis
pcalc073 Writing an equation of an ellipse given the foci and the major axis length
pcalc735 Graphing a hyperbola given its equation in standard form
pcalc075 Graphing a hyperbola centered at the origin: Ax2 - By2 - C = 0
pcalc076 Graphing a hyperbola given its equation in general form
pcalc077 Finding the foci of a hyperbola given its equation in general form
pcalc078 Writing an equation of a hyperbola given the foci and the vertices
pcalc079 Writing an equation of a hyperbola given the foci and the asymptotes: Advanced
pcalc736 Classifying conics given their equations
Systems and Matrices
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 2x2 system of linear equations that is inconsistent or consistent dependent
alge077 Creating an inconsistent system of linear equations
alge988 Identifying the operations used to create equivalent systems of equations
pcalc099 Consistency and independence of a system of linear equations
alge753 Solving a 3x3 system of linear equations: Problem type 1
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
alge192 Solving a percent mixture problem using a system of linear equations
alge224 Solving a distance, rate, time 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: Problem type 1
pcalc037 Scalar multiplication of a matrix
pcalc038 Addition or subtraction of matrices
B.12. GEORGIA MATH 0999-MATH 1111
pcalc740 Linear combination of matrices
pcalc039 Multiplication of matrices: Basic
pcalc712 Gauss-Jordan elimination with a 2x2 matrix
pcalc046 Solving a system of linear equations given its augmented matrix
pcalc040 Finding the inverse of a 2x2 matrix
pcalc041 Finding the inverse of a 3x3 matrix
pcalc711 Using the inverse of a matrix to solve a 3x3 system of linear equations
pcalc042 Finding the determinant of a 2x2 matrix
pcalc043 Finding the determinant of a 3x3 matrix
pcalc045 Using Cramer’s rule to solve a 2x2 system of linear equations
pcalc047 Using Cramer’s rule to solve a 3x3 system of linear equations
pcalc812 Partial fraction decomposition with distinct linear factors
pcalc813 Partial fraction decomposition with repeated linear factors
pcalc814 Partial fraction decomposition with an irreducible quadratic factor
alge994 Graphically solving a system of linear and quadratic equations
pcalc796 Using a graphing calculator to solve a system of equations
pcalc806 Using a graphing calculator to solve an exponential or logarithmic equation
alge995 Solving a system of linear and quadratic equations
pcalc098 Solving a system of nonlinear equations: Problem type 1
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
pcalc748 Graphing a quadratic inequality: Problem type 1
pcalc749 Graphing a quadratic inequality: Problem type 2
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
alge729 Writing a multi-step inequality for a real-world situation
pcalc093 Solving a word problem using a system of linear inequalities: Problem type 1
pcalc095 Linear programming
pcalc094 Solving a word problem using linear programming
pcalc096 Graphing a system of nonlinear inequalities: Problem type 1
pcalc097 Graphing a system of nonlinear inequalities: Problem type 2
Sequences, Series, and Probability
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
pcalc080 Finding the first terms of a sequence using an explicit rule with multiple occurrences of n
alge906 Finding the next terms of an arithmetic sequence with integers
alge908 Finding the first terms of a sequence using a recursive rule
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
pcalc715 Finding a specified term of an arithmetic sequence given two terms of the sequence
alge909 Writing an explicit rule for an arithmetic sequence
alge910 Writing a recursive rule for an arithmetic sequence
pcalc718 Sum of the first n terms of 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
pcalc717 Finding a specified term of a geometric sequence given two terms of the sequence
pcalc713 Arithmetic and geometric sequences: Identifying and writing an explicit rule
alge911 Writing recursive rules for arithmetic and geometric sequences
pcalc719 Sum of the first n terms of a geometric sequence
pcalc720 Sum of an infinite geometric series
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APPENDIX B. SYLLABI IN ALEKS
alge965 Identifying linear, quadratic, and exponential functions given ordered pairs
pcalc082 Factorial expressions
mstat041 Interpreting a tree diagram
mstat040 Introduction to the counting principle
mstat015 Counting principle
mstat017 Computing permutations and combinations
pcalc809 Introduction to permutations and combinations
pcalc810 Permutations and combinations: Problem type 1
pcalc089 Permutations and combinations: Problem type 2
pcalc090 Permutations and combinations: Problem type 3
pcalc087 Binomial formula
mstat010 Probability of an event
mstat046 Experimental and theoretical probability
stat106 Outcomes and event probability
mstat011 Area as probability
stat850 Probability of independent events
stat851 Probability of dependent events
stat117 Probabilities of draws with replacement
stat118 Probabilities of draws without replacement
mstat042 Interpreting a Venn diagram of 2 sets
mstat043 Interpreting a Venn diagram of 3 sets
stat119 Venn diagrams: Two events
stat101 Venn diagrams: Word problems
stat112 Probabilities involving two dice
stat114 Probability of intersection or union: Word problems
stat115 Independent events: Basic
stat120 Probability of union: Basic
stat116 Conditional probability: Basic
stat109 Intersection and conditional probability
stat174 Binomial problems: Basic
B.13
New York MAT 117
Algebra and Geometry Review
arith687 Fractional position on a number line
arith605 Plotting rational numbers on a number line
arith691 Ordering integers
arith602 Estimating a square root
arith712 Ordering real numbers
alge001 Identifying numbers as integers or non-integers
alge002 Identifying numbers as rational or irrational
arith116 Signed fraction addition or subtraction: Basic
arith864 Signed fraction subtraction involving double negation
arith811 Addition and subtraction of 3 fractions involving signs
arith822 Signed fraction multiplication: Basic
arith814 Signed fraction division
arith104 Operations with absolute value: Problem type 2
geom525 Computing distances between decimals on the number line
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
B.13. NEW YORK MAT 117
alge004 Evaluating a quadratic expression: Integers
alge808 Evaluating a linear expression: Signed fraction multiplication with addition or subtraction
mstat065 Converting between temperatures in Fahrenheit and Celsius
alge188 Properties of real numbers
alge604 Distributive property: Integer coefficients
alge608 Using distribution and combining like terms to simplify: Univariate
alge609 Using distribution with double negation and combining like terms to simplify: Multivariate
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
arith029 Ordering numbers with positive exponents
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
alge756 Power and product rules with positive exponents
alge451 Simplifying a ratio of multivariate monomials: Basic
alge827 Introduction to the quotient rule of exponents
alge452 Simplifying a ratio of univariate monomials
alge026 Quotient of expressions involving exponents
alge453 Simplifying a ratio of multivariate monomials: Advanced
alge927 Power and quotient rules with positive exponents
alge790 Evaluating expressions with exponents of zero
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
alge961 Introduction to the product rule with negative exponents
alge028 Product rule with negative exponents
alge755 Quotient rule with negative exponents: Problem type 1
alge926 Quotient rule with negative exponents: Problem type 2
alge025 Power of a power rule with negative exponents
alge799 Power rules with negative 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
arith036 Scientific notation with positive exponent
arith037 Scientific notation with negative exponent
scinot012 Converting between scientific notation and standard form in a real-world situation
scinot008 Multiplying numbers written in scientific notation: Basic
scinot009 Multiplying numbers written in scientific notation: Advanced
scinot010 Dividing numbers written in scientific notation: Basic
scinot011 Dividing numbers written in scientific notation: Advanced
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
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APPENDIX B. SYLLABI IN ALEKS
alge973 Multiplying binomials with negative coefficients
alge935 Multiplication involving binomials and trinomials in one variable
alge180 Multiplication involving binomials and trinomials in two variables
arith034 Prime numbers
arith035 Prime factorization
arith033 Greatest common factor of 2 numbers
alge605 Factoring a linear binomial
alge736 Introduction to the GCF of two monomials
alge930 Greatest common factor of three univariate monomials
alge037 Greatest common factor of two multivariate 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: GCF factoring, 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
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
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
alge041 Factoring a product of a quadratic trinomial and a monomial
alge042 Factoring with repeated use of the difference of squares formula
alge044 Factoring a sum or difference of two cubes
pcalc675 Factoring out a binomial from a polynomial: GCF factoring or substitution
alge049 Restriction on a variable in a denominator: Linear
alge454 Simplifying a ratio of factored polynomials: Linear factors
alge455 Simplifying a ratio of factored polynomials: Factors with exponents
alge456 Simplifying a ratio of polynomials using GCF factoring
alge457 Simplifying a ratio of linear polynomials: 1, -1, and no simplification
alge458 Simplifying a ratio of polynomials by factoring a quadratic with leading coefficient 1
alge710 Simplifying a ratio of polynomials: Problem type 1
alge682 Simplifying a ratio of polynomials: Problem type 2
alge459 Simplifying a ratio of polynomials: Problem type 3
alge034 Simplifying a ratio of multivariate polynomials
alge053 Multiplying rational expressions involving multivariate monomials
alge460 Multiplying rational expressions made up of linear expressions
alge461 Multiplying rational expressions involving quadratics with leading coefficients greater than 1
alge462 Multiplying rational expressions involving multivariate quadratics
alge054 Dividing rational expressions involving multivariate monomials
alge463 Dividing rational expressions involving linear expressions
alge464 Dividing rational expressions involving quadratics with leading coefficients greater than 1
alge465 Dividing rational expressions involving multivariate quadratics
alge466 Multiplication and division of 3 rational expressions
arith070 Least common multiple of 2 numbers
arith804 Least common multiple of 3 numbers
alge737 Introduction to the LCM of two monomials
B.13. NEW YORK MAT 117
alge055 Least common multiple of two monomials
alge427 Finding the LCD of rational expressions with linear denominators: Relatively prime
alge428 Finding the LCD of rational expressions with linear denominators: Common factors
alge429 Finding the LCD of rational expressions with quadratic denominators
alge430 Writing equivalent rational expressions with monomial denominators
alge431 Writing equivalent rational expressions with polynomial denominators
alge304 Writing equivalent rational expressions involving opposite factors
alge432 Introduction to adding fractions with variables and common denominators
alge433 Adding rational expressions with common denominators and monomial numerators
alge056 Adding rational expressions with common denominators and binomial numerators
alge434 Adding rational expressions with common denominators and GCF factoring
alge436 Adding rational expressions with different denominators and a single occurrence of a variable
alge437 Adding rational expressions with denominators ax and bx: Basic
alge439 Adding rational expressions with denominators axn and bxm
alge440 Adding rational expressions with multivariate monomial denominators: Basic
alge441 Adding rational expressions with linear denominators without common factors: Basic
alge443 Adding rational expressions with linear denominators with common factors: Basic
alge445 Adding rational expressions with denominators ax-b and b-ax
arith695 Complex fraction without variables: Problem type 1
arith696 Complex fraction without variables: Problem type 2
alge470 Complex fraction involving univariate monomials
alge058 Complex fraction involving multivariate monomials
alge471 Complex fraction: GCF factoring
alge473 Complex fraction made of sums involving rational expressions: Problem type 1
alge474 Complex fraction made of sums involving rational expressions: Problem type 2
alge475 Complex fraction made of sums involving rational expressions: Problem type 3
alge476 Complex fraction made of sums involving rational expressions: Problem type 4
alge477 Complex fraction made of sums involving rational expressions: Problem type 5
alge478 Complex fraction made of sums involving rational expressions: Problem type 6
alge479 Complex fraction made of sums involving rational expressions: Multivariate
alge480 Complex fraction with negative exponents: Problem type 1
alge481 Complex fraction with negative exponents: Problem type 2
alge162 Complex fraction that contains a complex fraction
alge413 Finding all square roots of a number
arith601 Square root of a rational perfect square
arith760 Square roots of perfect squares with signs
arith761 Square roots of integers raised to even exponents
alge415 Introduction to simplifying a radical expression with an even exponent
alge264 Square root of a perfect square monomial
alge603 Introduction to solving an absolute value equation
alge537 Using absolute value to simplify square roots of perfect square monomials
arith094 Cube root of an integer
alge549 Finding nth roots of perfect nth powers with signs
arith768 Finding the nth root of a perfect nth power fraction
alge550 Finding the nth root of a perfect nth power monomial
alge538 Using absolute value to simplify higher radical expressions
alge812 Converting between radical form and exponent form
alge560 Rational exponents: Unit fraction exponents and whole number bases
alge561 Rational exponents: Unit fraction exponents and bases involving signs
alge250 Rational exponents: Non-unit fraction exponent with a whole number base
alge251 Rational exponents: Negative exponents and fractional bases
alge558 Rational exponents: Product rule
alge559 Rational exponents: Quotient rule
alge773 Rational exponents: Products and quotients with negative exponents
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APPENDIX B. SYLLABI IN ALEKS
alge562 Rational exponents: Power of a power rule
alge249 Rational exponents: Powers of powers with negative exponents
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
alge520 Introduction to simplifying a radical expression with an odd exponent
alge521 Simplifying a radical expression with an odd exponent
alge275 Simplifying a radical expression with two variables
alge273 Simplifying a higher root of a whole number
alge551 Introduction to simplifying a higher radical expression
alge552 Simplifying a higher radical expression: Univariate
alge811 Simplifying a higher radical expression: Multivariate
arith767 Introduction to square root addition or subtraction
arith032 Square root addition or subtraction
alge533 Square root addition or subtraction with three terms
alge531 Introduction to simplifying a sum or difference of radical expressions: Univariate
alge532 Simplifying a sum or difference of radical expressions: Univariate
alge084 Simplifying a sum or difference of radical expressions: Multivariate
alge554 Simplifying a sum or difference of higher roots
alge555 Simplifying a sum or difference of higher radical expressions
arith764 Introduction to square root multiplication
arith765 Square root multiplication: Basic
alge522 Introduction to simplifying a product of radical expressions: Univariate
alge523 Simplifying a product of radical expressions: Univariate
alge640 Simplifying a product of radical expressions: Multivariate
alge082 Simplifying a product of radical expressions: Multivariate, fractional expressions
alge556 Introduction to simplifying a product of higher roots
alge557 Simplifying a product of higher radical expressions
alge525 Introduction to simplifying a product involving square roots using the distributive property
alge526 Simplifying a product involving square roots using the distributive property: Basic
alge276 Simplifying a product involving square roots using the distributive property: Advanced
alge774 Special products of radical expressions: Conjugates and squaring
alge984 Classifying sums and products as rational or irrational
arith766 Simplifying a quotient of square roots
alge530 Simplifying a quotient involving a sum or difference with a square root
alge527 Rationalizing a denominator: Quotient involving square roots
alge528 Rationalizing a denominator: Square root of a fraction
alge529 Rationalizing a denominator: Quotient involving a monomial
alge534 Rationalizing a denominator using conjugates: Integer numerator
alge535 Rationalizing a denominator using conjugates: Square root in numerator
alge536 Rationalizing a denominator using conjugates: Variable in denominator
alge564 Rationalizing a denominator: Quotient involving a higher radical
alge775 Rationalizing a denominator: Quotient involving higher radicals and monomials
alge563 Simplifying products or quotients of higher radicals with different indices: Univariate
alge776 Simplifying products or quotients of higher radicals with different indices: Multivariate
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
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
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
B.13. NEW YORK MAT 117
geom622 Volume of a cone
geom841 Volume of a sphere
geom031 Surface area of a cube or a rectangular prism
geom091 Surface area of a triangular prism
geom621 Surface area of a cylinder
geom842 Surface area of a sphere
alge407 Introduction to the Pythagorean Theorem
geom044 Pythagorean Theorem
alge408 Word problem involving the Pythagorean Theorem
Equations and Inequalities
alge836 Additive property of equality with signed fractions
alge012 Multiplicative property of equality with signed fractions
alge837 Solving a multi-step equation given in fractional form
alge986 Identifying properties used to solve a linear equation
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
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
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
alge840 Solving a proportion of the form (x+a)&divide;b = c&divide;d
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
alge016 Translating a sentence into a one-step equation
alge841 Translating a sentence into a multi-step equation
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
alge730 Writing a multi-step equation for a real-world situation
alge794 Solving a value mixture problem using a linear equation
alge823 Solving a one-step word problem using the formula d = rt
alge796 Solving a distance, rate, time problem using a linear equation
geom817 Finding a side length given the perimeter and side lengths with variables
geom143 Finding the perimeter or area of a rectangle given one of these values
geom838 Circumference ratios
geom530 Solving equations involving vertical angles
geom623 Finding angle measures of a triangle given angles with variables
stat803 Finding the value for a new score that will yield a given mean
arith852 Finding the multiplier to give a final amount after a percentage increase or decrease
arith847 Finding the sale price given the original price and percent discount
arith848 Finding the total cost including tax or markup
arith031 Finding the original price given the sale price and percent discount
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APPENDIX B. SYLLABI IN ALEKS
arith854 Computing a percent mixture
alge795 Solving a percent mixture problem using a linear equation
arith232 Finding simple interest without a calculator
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
alge167 Solving an absolute value equation of the form —ax+b— = —cx+d—
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
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
set001 Set builder notation
set004 Set builder and interval notation
set002 Union and intersection of finite sets
set005 Union and intersection of intervals
alge844 Identifying solutions to a two-step linear inequality in one variable
alge852 Additive property of inequality with signed fractions
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: Graph solution, basic
alge747 Solving a compound linear inequality: Interval notation
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
alge868 Solving an absolute value inequality: Problem type 1
alge943 Writing an absolute value inequality given a graph on the number line
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
alge271 Solving a proportion of the form a/(x+b) = c/x
alge060 Solving a rational equation that simplifies to linear: Denominator x
alge205 Solving a rational equation that simplifies to linear: Denominator x+a
alge769 Solving a rational equation that simplifies to linear: Denominators a, x, or ax
alge421 Solving a rational equation that simplifies to linear: Denominators ax and bx
alge422 Solving a rational equation that simplifies to linear: Like binomial denominators
alge206 Solving a rational equation that simplifies to linear: Unlike binomial denominators
alge508 Solving for a variable in terms of other variables in a rational equation: Problem type 1
alge509 Solving for a variable in terms of other variables in a rational equation: Problem type 2
alge510 Solving for a variable in terms of other variables in a rational equation: Problem type 3
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
geom133 Ratio of volumes
arith612 Word problem involving multiple rates
alge770 Solving a work problem using a rational equation
alge450 Solving a distance, rate, time problem using a rational equation
alge059 Ordering fractions with variables
alge778 Using i to rewrite square roots of negative numbers
alge779 Simplifying a product and quotient involving square roots of negative numbers
B.13. NEW YORK MAT 117
pcalc048 Adding or subtracting complex numbers
pcalc049 Multiplying complex numbers
pcalc050 Dividing complex numbers
pcalc053 Simplifying a power of i
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
alge046 Roots of a product of polynomials
alge163 Writing a quadratic equation given the roots and the leading coefficient
alge703 Solving a word problem using a quadratic equation with rational roots
alge713 Using the Pythagorean Theorem and a quadratic equation to find side lengths of a right triangle
alge962 Solving an equation of the form x2 = a using the square root property
alge092 Solving a quadratic equation using the square root property: Exact answers, basic
alge094 Completing the square
pcalc051 Solving a quadratic equation with complex roots
alge214 Discriminant of a quadratic equation
alge193 Discriminant of a quadratic equation with parameter
alge524 Solving a word problem using a quadratic equation with irrational roots
alge093 Solving an equation using the odd-root property: Problem type 1
alge228 Solving an equation using the odd-root property: Problem type 2
alge467 Restriction on a variable in a denominator: Quadratic
alge423 Solving a rational equation that simplifies to linear: Factorable quadratic denominator
alge424 Solving a rational equation that simplifies to quadratic: Proportional form, basic
alge425 Solving a rational equation that simplifies to quadratic: Denominator x
alge212 Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators
alge062 Solving a rational equation that simplifies to quadratic: Binomial denominators and numerators
alge426 Solving a rational equation that simplifies to quadratic: Factorable quadratic denominator
alge047 Solving a rational equation that simplifies to quadratic: Proportional form, advanced
alge400 Introduction to solving a radical equation
alge089 Solving a radical equation that simplifies to a linear equation: One radical, basic
alge090 Solving a radical equation that simplifies to a linear equation: Two radicals
alge405 Solving a radical equation with two radicals that simplifies to sqrt(x) = a
alge412 Algebraic symbol manipulation with radicals
alge542 Word problem involving radical equations: Basic
alge410 Solving an equation with a root index greater than 2: Problem type 1
alge417 Solving an equation with a root index greater than 2: Problem type 2
alge416 Solving an equation with exponent 1/a: Problem type 1
alge418 Solving an equation with exponent 1/a: Problem type 2
alge230 Solving an equation with positive rational exponent
alge231 Solving an equation with negative rational exponent
alge781 Solving an equation that can be written in quadratic form: Problem type 1
alge782 Solving an equation that can be written in quadratic form: Problem type 2
Graphs and Functions
alge064 Reading a point in the coordinate plane
alge067 Plotting a point in the coordinate plane
alge850 Table for a linear equation
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APPENDIX B. SYLLABI IN ALEKS
alge873 Identifying solutions to a linear equation in two variables
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
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
pcalc750 Finding intercepts of a nonlinear function given its graph
pcalc678 Finding x- and y-intercepts of the graph of a nonlinear equation
alge913 Graphing an absolute value equation of the form y = A—x—
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
pcalc679 Testing an equation for symmetry about the axes and origin
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
alge259 Graphing a line given its slope and y-intercept
alge196 Graphing a line through a given point with a given slope
alge874 Identifying linear functions given ordered pairs
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
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
alge992 Combining functions to write a new function that models a real-world situation
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
alge991 Solving a linear equation by graphing
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
alge914 Identifying solutions to a system of linear equations
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
alge078 Solving a word problem involving a sum and another basic relationship using a system of linear equations
B.13. NEW YORK MAT 117
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
alge132 Distance between two points in the plane: Exact answers
alge191 Midpoint of a line segment in the plane
alge414 Finding an endpoint of a line segment given the other endpoint and the midpoint
pcalc605 Graphing a circle given its equation in standard form
pcalc128 Graphing a circle given its equation in general form: Basic
pcalc129 Graphing a circle given its equation in general form: Advanced
pcalc065 Writing an equation of a circle given its center and a point on the circle
pcalc066 Writing an equation of a circle given the endpoints of a diameter
fun032 Identifying functions from relations
fun010 Vertical line test
fun001 Table for a linear function
pcalc760 Evaluating functions: Linear and quadratic or cubic
alge468 Evaluating a rational function: Problem type 1
alge469 Evaluating a rational function: Problem type 2
alge539 Table for a square root function
alge546 Evaluating a cube root function
pcalc682 Evaluating functions: Absolute value, rational, radical
fun030 Evaluating a piecewise-defined function
fun033 Variable expressions as inputs of functions: Problem type 1
fun016 Domain and range from ordered pairs
alge715 Domain of a rational function: Excluded values
alge540 Domain of a square root function: Basic
pcalc763 Domain of a square root function: Advanced
alge547 Domains of higher root functions
pcalc754 Finding the domain of a fractional function involving radicals
pcalc924 Determining whether an equation defines a function: Basic
pcalc757 Determining whether an equation defines a function: Advanced
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
pcalc753 Finding a difference quotient for a linear or quadratic function
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
fun024 Domain and range from the graph of a continuous function
fun025 Domain and range from the graph of a piecewise function
alge999 Finding where a function is increasing, decreasing, or constant given the graph
pcalc751 Finding where a function is increasing, decreasing, or constant given the graph: Interval notation
pcalc752 Finding local maxima and minima of a function given the graph
mstat018 Choosing a graph to fit a narrative: Basic
mstat051 Choosing a graph to fit a narrative: Advanced
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
alge900 Graphing an absolute value equation in the plane: Basic
alge168 Graphing an absolute value equation in the plane: Advanced
alge572 Graphing a function of the form f(x) = ax2
alge573 Graphing a function of the form f(x) = ax2 + c
alge253 Graphing a parabola of the form y = (x-h)2 + k
alge543 Graphing a square root function: Problem type 1
alge544 Graphing a square root function: Problem type 2
alge545 Graphing a square root function: Problem type 3
alge548 Graphing a cube root function
fun031 Graphing a piecewise-defined function: Problem type 1
pcalc768 Finding the average rate of change of a function
alge998 Finding the average rate of change of a function given its graph
pcalc114 Even and odd functions: Problem type 1
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APPENDIX B. SYLLABI IN ALEKS
alge953 Translating the graph of a parabola: One step
alge723 How the leading coefficient affects the shape of a parabola
alge898 Translating the graph of an absolute value function: One step
alge899 Translating the graph of an absolute value function: Two steps
alge901 How the leading coefficient affects the graph of an absolute value function
alge185 Writing an equation for a function after a vertical tr```