numeracy games with dice and cards

numeracy games with dice and cards
NAME:
NUMERACY GAMES WITH DICE AND CARDS
A South African Numeracy Chair initiative
2012
Games in the classroom ________________________________________________ 3
Benefits ______________________________________________________________ 3
Mathematical games are 'activities' which: ____________________________ 3
More benefits ________________________________________________________ 3
Competition vs Collaboration _________________________________________ 4
Introducing games into the classroom _________________________________ 4
Hints for Successful Classroom Games __________________________________ 4
This booklet __________________________________________________________ 5
Playing Card Games for Bonds __________________________________________ 5
TEN!__________________________________________________________________ 5
PYRAMID GAME ______________________________________________________ 6
HORSE SHOE _________________________________________________________ 7
NUMBER MEMORY ____________________________________________________ 7
Other Playing Card Games______________________________________________ 8
ADD 5 CARDS ________________________________________________________ 8
YES, NO, YOU’VE GOT IT _______________________________________________ 8
I SPY SUMS____________________________________________________________ 9
FLIP OUT_____________________________________________________________ 10
SUBTRACTION NUMBER BATTLE ________________________________________ 11
Dice Games – Quick Ideas _____________________________________________ 13
KNOCK OFF NUMBERS ________________________________________________ 13
BONDS TO 20 ________________________________________________________ 13
MENTAL MATHS ______________________________________________________ 14
HOW MANY TO 20 ___________________________________________________ 14
PRACTICING DOUBLES _______________________________________________ 14
BEAT THAT! __________________________________________________________ 15
MAKE 12 ____________________________________________________________ 15
NUMBER LINE GAME _________________________________________________ 16
BUILDING ARRAYS____________________________________________________ 16
Longer Dice Games ___________________________________________________ 18
BEETLE GAME ________________________________________________________ 18
Acknowledgements
The work of the SA Numeracy Chair, Rhodes University is supported by the FirstRand
Foundation (with the RMB), Anglo American Chairman’s fund, the Department of Science
and Technology and the National Research Foundation.
SANC: NUMERACY GAMES WITH DICE AND CARDS
CONTENTS
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GAMES IN THE CLASSROOM
Benefits
There are numerous benefits to learning through games. These include:
• Creating meaningful situations for the application of mathematical skills
• Motivation – most children enjoy playing games
• Positive attitude - Games provide opportunities for developing positive
attitudes towards mathematics by reducing the fear of failure and error
• Increased learning - in comparison to more formal activities, greater
learning can occur through games as a result of the increased interaction
between children and provide opportunities to test intuitive ideas and
problem solving strategies
• Different levels - Games can allow children to operate at different levels of
thinking and to learn from each other. In a group of children playing a
game, one child might be encountering a concept for the first time,
another may be developing his/her understanding of the concept, a third
consolidating previously learned concepts
• On-going assessment - children's thinking often becomes apparent
through the actions and decisions they make during a game, so the
teacher has the opportunity to carry out diagnosis and assessment of
learning in a non-threatening situation
• Home and school - Games provide 'hands-on' interactive tasks for both
school and home
• Independence - Children can work independently of the teacher. The rules
of the game and the children's motivation usually keep them on task.
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involve a challenge
are governed by a set of rules and have a clear underlying structure
normally have a distinct finishing point
have specific mathematical cognitive objectives
Source: http://nrich.maths.org
More benefits
Games taught and used in the classroom can potentially
also be played at home and shared with family members,
thereby allowing:
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learners to spend more time on maths
learners to consolidate skills and practice what they have learnt in class
learners to teach other people the rules
other people to get involved in mathematics
SANC: NUMERACY GAMES WITH DICE AND CARDS
Mathematical games are 'activities' which:
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Competition vs. Collaboration
Games can encourage collaboration, communication and competition.
However, too much emphasis on competition can be counter productive as
the game becomes about the winning or losing and not the mathematics or
the strategies. Emphasise collaboration and communication more often than
competition.
Introducing games into the classroom
In teaching games to large groups Gillian Hatch has found three different
methods that work well.
1. Introduce the game to one group of learners while the others are
completing some individual work.
2. Then divide the whole class into groups. Put one learner from the initial
group into each group to teach the game to the group. Divide the class
into the groups in which they will subsequently play. Play the game with
the whole class, with each group acting as a single player.
3. Choose a set of learners to come to the front of the class and play the
game as a demonstration, possibly with assistance in decision making
from the whole class.
Source: http://nrich.maths.org/2928/index
Hints for Successful Classroom Games
Make sure the game matches your mathematical objective(s)
Use games for specific purposes, not just time-fillers
Keep the number of players from 2 to 4, so that turns come around quickly
The game should have enough of an element of chance so that it allows
weaker students to feel that they a chance of winning
• Keep the game completion time short
Source: http://nrich.maths.org
NOTES
SANC: NUMERACY GAMES WITH DICE AND CARDS
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This booklet
The following pages give many examples of both card and dice games.
Most are relatively easy to set up and teach and do not involve too much
preparation.
Any of the games in this booklet can be differentiated by changing a rule or
two, using multiplication instead of addition, or by simply requiring learners to
prove their work to their partner through talking or writing.
Use the spaces provided to note your own variations, ideas and those that
the learners may come up with. Make the booklet your own.
PLAYING CARD GAMES FOR BONDS
TEN!
You need: 1 set of playing cards without Jokers or picture cards.
Play on your own or with a friend.
Place 12 cards face up in a 3 rows of 4
Take turns choosing a set of cards which add to 10.
Fill in the spaces with new cards
Play continues until no more sets of ten can be formed. The
winner is the player who finishes with the most cards.
• When a player plays alone, the object of the game is to
find the maximum number of cards that have a sum of ten.
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SANC: NUMERACY GAMES WITH DICE AND CARDS
SPACE FOR YOUR OWN AND LEARNER IDEAS
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PYRAMID GAME
You need: 1 pack of cards
• All picture cards = 10, Ace = 1
• The aim of the game is to remove as many cards from the pyramid as
possible. Only cards that are “free” (not covered by other cards) may be
used.
• Layout 15 cards face up, into the shape of a pyramid, as shown
• Keep the rest of the pack face up on the table
• Look for pairs of cards in the pyramid or on the top of the pile that make
10. Remove these from the pyramid or the pile and put to one side.
• Keep looking for free cards that make 10. If you cannot find any in the
pyramid, turn over 1 card from the pack. The pack can be used with cards
from the pyramid to add to 10.
• Bonds to 11: Find pairs that add to 11. • Bonds to 12: find pairs that add to 12. • Bonds to 13: King = 13, Queen = 12, Jack = 11, Ace = 1. Find all pairs that
add to 13.
Adapted from http://www.education.com/activity/article/secrets-of-the-great-pyramid/
& personal experience
SANC: NUMERACY GAMES WITH DICE AND CARDS
Pyramid Game Bond Variations:
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HORSE SHOE
Skill: fluency in basic number facts.
You need: 1 pack of cards
Work with: a partner, a small group or in 2
teams
• All picture cards = 10, Ace = 1
• Spread all the cards out in a horseshoe
shape, face down
• Take turns to turn over one random card and
lay it in the middle of the shape
• As a new card is laid down find pairs / sets of
cards that add to 10
• Take the cards that add to 10 from the middle of the shape
• Next learner takes a turn
In the clubs we have refined this to say that a when selecting a card, they
can keep it in their hand to see if it makes 10. Once the card is put down in
the shape, then any learner can claim the cards that make 10.
VARIATIONS: Add to 20, 30 etc.
NUMBER MEMORY
Skills: Number recognition, number sense, spatial memory
You need: 1 pack of cards WITHOUT picture cards and
jokers (40 cards)
• Arrange the cards face down in 5 rows of 8
• Players take turns turning over a pair of cards. If the
numbers match, the player wins the two cards and
takes another turn.
• If the cards do not match, they’re flipped face down and the next player
has a turn.
• Play continues until all number matches are found.
VARIATIONS:
• Smaller layouts for younger learners
• Match cards that add to 10, 12, 13 and so on
• Match numbers that are either both odd or both even
SANC: NUMERACY GAMES WITH DICE AND CARDS
Work with: a partner, a small group or in 2 teams
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OTHER PLAYING CARD GAMES
ADD 5 CARDS
Skill: 1 & 2 digit addition and addition strategies
• Work in pairs using Think, Pair, Share (see insert box
below)
• King = 13, Queen = 12, Jack = 11, Ace = 1
• Deal out 5 cards face up as shown
• Both learners add up the values of the cards
• Check each other’s totals and discuss the strategies used to add
VARIATIONS: use less cards for younger learners or take out picture cards
Adapted from: http://www.math-drills.com/addition.shtml#Games
THINK, PAIR, SHARE
Work through the problem on your own, then, explain your thinking to
your partner
Don’t forget to:
Listen to each other & ask questions
YES, NO, YOU’VE GOT IT
Skills: logic, number sense
• Decide who will go first
• This person draws 1 card from the deck at random and keeps it secret.
• Other players take turns asking mathematical questions to find out what
card was drawn. The person with the card responds to each question with
one of these choices: "Yes," "No," or "You Got It!"
• E.g. dealer choses a 4 of diamonds. Questions might go like this:
Is the card black? (No)
Is the value of the card greater than 6? (No)
Is the card greater than 3? (Yes)
Is the card a five? (No)
Is the card a six? (No)
Is the card a heart? (No)
Is the card a four of diamonds? (You Got It!)
• The player who correctly guesses a card earns that card and takes the
next turn.
• Play until one player has 10 cards.
Source: http://www.education.com/activity/article/yes-no-you-got-it/
SANC: NUMERACY GAMES WITH DICE AND CARDS
You need: 1 deck of playing cards
Work in groups, teams or pairs
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I SPY SUMS
Skill: Addition, fluency & efficiency
Players: 2 or more
You need: 1 Deck of cards, Ace = 11, Jack = 12, Queen = 13, King = 14, scrap
paper
• If the second player misses any pair(s) that add to the chosen sum, then
the first player may claim them. Players swap roles and continue until the
table is cleared. The winner is the player with the most cards at the end of
the game.
• Fill gaps as they appear.
VARIATION:
Multiply 2 cards instead of adding by saying, “I spy two cards with a product
of 40.”
Source: Acing Math (One Deck At A Time!): A Collection of Math Games
(http://www.pedagonet.com/quickies/acingmaths.pdf)
SANC: NUMERACY GAMES WITH DICE AND CARDS
• Deal out the entire deck of cards face up in 5 rows of 4.
• One player challenges the other player (or player to his/her right) to find
two cards next to each other, either vertically, horizontally or diagonally,
that add to make a number by saying, “I spy two cards that add to 7.”
• The challenged player then looks for two cards that add to that number
and picks up this pair. In this example: 3 of diamonds & 4 of clubs or 6 of
clubs and Ace of diamonds
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FLIP OUT
Skill: Efficient addition strategies
Players: Individual, then pairs
You need: 1 Deck of cards per learner (or half a deck per learner)
Picture cards = 10, Ace = 1, scrap paper
• Each learner shuffles his/her deck and lays it face down on the desk.
• The teacher calls out, ”Go!” and then the learner flips over one card at a
time, and calculates a running total of the values on the cards.
• After thirty seconds, one minute, or two minutes (depending on the ability
of the class), the teacher says, “Stop!”
• Learners write down their total e.g. 50 for this set
• Players check each others totals.
• The winner is the one with the highest total. If a total is wrong, the player
cannot be the winner of that round.
• Play again.
Source: Acing Math (One Deck At A Time!): A Collection of Math Games
(http://www.pedagonet.com/quickies/acingmaths.pdf)
SANC: NUMERACY GAMES WITH DICE AND CARDS
1+4=5
5 + 10 = 15
15 + 3 = 18
18 + 10 = 28
28 + 10 = 38
38 + 8 = 46
46 + 4 = 50
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SUBTRACTION NUMBER BATTLE
Skill: Number recognition and subtraction
Players: pairs
You need: 1 Deck of cards, face cards = ten, Ace = 1
• Players split a deck of cards
• At the same time, each player flips over their top two cards and subtract
the smaller number from the larger number.
• EXAMPLE:
• Player 1:
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Difference is 0
Player 2:
Difference is 7
Player 2 wins all four cards
If the card differences have the same value, the cards are placed in a
centre pile. The next round is played normally and the winner of the next
subtraction number battle takes the centre pile as well.
• Remove the 10s, face cards and jokers from the pack
• Players split a deck of cards and simultaneously flip over their top three
cards.
• Make two of them into a 2 digit number and subtract the third. Players
may move the cards to place them in any position they wish.
• EXAMPLE:
• Player 1:
98 – 3 = 95
• Player 2:
67 – 4 = 63
SANC: NUMERACY GAMES WITH DICE AND CARDS
VARIATION: place value and subtraction
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SANC: NUMERACY GAMES WITH DICE AND CARDS
SPACE FOR YOUR OWN AND LEARNER IDEAS
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DICE GAMES – QUICK IDEAS
KNOCK OFF NUMBERS
You need: 1 dice, paper & pencil
• 1 learner throws 1 dice, other writes the number that is thrown.
• Do this 10 times in total.
• Learners’ work together to add the numbers a quickly as possible using
their own strategies.
BONDS TO 20
• Throw 1 dice many times. Keep adding each time to get to EXACTLY 20. If
your score adds to more than 20 you are bust! Start again.
VARIATIONS:
• Add to 30, 50 or 100.
SANC: NUMERACY GAMES WITH DICE AND CARDS
SPACE FOR YOUR OWN AND LEARNER IDEAS
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MENTAL MATHS
Skills: Relationship between addition and subtraction
• Each learner gets a dice
• Roll the dice and keep the number in their head
• Using that number, give them something to work out e.g. +10 to the
number, add 10 more to the answer, + 100 to the answer. What’s your
answer now?
• Can they work out what another learner’s original number was by working
backwards e.g. Answer -100, less 10, -10?
HOW MANY TO 20
• Throw two dice
• Add the numbers together
• Say how many more you need to make 20
e.g.
+
answer 15
VARIATIONS:
You can use more dice and say how many to add to 25; 30; 50 or 100
• Play with a friend
• Throw a single dice, then double the value and add 1. e.g. throw a 6.
Double 6 is 12 then add 1 = 13.
• The winner is the person with the highest number.
• Play again.
VARIATIONS:
• Subtract 1 from the number and then double it e.g. throw a 5. Subtract 1 is
4, double 4 is 8
• Make up your own variations
SANC: NUMERACY GAMES WITH DICE AND CARDS
PRACTICING DOUBLES
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BEAT THAT!
Skills: Place value, 2 digit addition & estimation
You need: 2 dice, scrap paper, work in pairs
• Roll the dice. Make the biggest 2 digit number possible.
For example: if you roll a 4 and a 6, your biggest number would be 64
• Write down your number under your name on paper
• Pass the dice, and challenge your partner to “Beat That!”
• Have 3 turns each
• ESTIMATE who you think will have the biggest score
• Then add up your numbers and your partner’s numbers
• Check and compare your answers
• Was your estimate correct?
VARIATION: Try making the smallest number possible!
Source: http://www.activityvillage.co.uk/beat_that.htm
MAKE 12
Skills: Addition, subtraction and addition strategies
You need: 1 dice, scrap paper, a pencil. Work in pairs
• Draw a 3 x 3 grid like this on scrap paper
• Take turns to throw the dice and write that
number in one of the boxes on the grid.
• When it is your turn, keep adding numbers to a
box until it adds to EXACTLY 12. If the number on
the dice will make the numbers add to more than
12, you will need to put that number in another
box
• When a box adds to 12, you can put a line through the box
• Keep going until there are three filled boxes in a row or column or
diagonal. The game finishes when this happens.
VARIATIONS: Use a bigger grid or add to a bigger number such as 15, 16, 20
etc.
Adapted from: http://nrich.maths.org/7337/index?nomenu=1
SANC: NUMERACY GAMES WITH DICE AND CARDS
The aim of this game is to add numbers to make a total of 12 in each box.
You need to get three boxes in a line (up, down,
diagonal) to end the game
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NUMBER LINE GAME
Play with a friend.
You need: 2 matchsticks or toothpicks, 1 dice, 0-20 number
line to the right
Addition Game
• Each player puts a stick on 0 at the beginning of the
number line.
• Take turns rolling the dice. Move your stick forward along
the number line by the number rolled on the dice.
• If you land on the same number as another player, the
other player goes back to 0.
• The first player to land on 20 wins!
• If you go past 20, you must go back to 0
Subtraction Game
• Play as above except start by putting your sticks on 20.
• This time move your stick backwards along the number line
by the number rolled on the dice.
• The first player to land on 0 wins!
• If you go past the 0, you must go back to 20.
BUILDING ARRAYS
You need: 1 dice, counters and scrap paper
• Roll the dice twice. The first number you roll
tells how many rows to make in your array.
The second number you roll tells how many
counters to put in each row of your array.
• Example: If you roll a 5 first and then a 2, you
might make this
• Draw each array you make.
• Record how many rows, how many counters
in each row, and how many counters in all for
each array you make.
EXTENSION: each time a square array is made, let the learners
colour it in red when they draw it
SANC: NUMERACY GAMES WITH DICE AND CARDS
Skill: Early Multiplication
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SANC: NUMERACY GAMES WITH DICE AND CARDS
SPACE FOR YOUR OWN AND LEARNER IDEAS
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LONGER DICE GAMES
BEETLE GAME
Basic Play
• Work in pairs with 1 dice per pair
• One person draws the beetle and the other throws the dice
• Throw the dice in order to draw the beetle. See ‘Drawing the Beetle” on
the next page.
• When a pair has drawn a complete beetle, they shout “Beetle” and
everyone must stop playing.
• Each pair adds up the number of body parts they have drawn with the
maximum being 14. Write this on a scorecard or piece of paper.
• Players swap roles and play again. Play between 4 or 6 games.
• Pairs can add up their scores using any strategies they wish.
• Pair with highest score wins.
Extension activities
• Before each pair adds up scores, the whole group can estimate which pair
they think has the highest score and lowest score. Discuss strategies
• Then each pair adds up their score and hand to another pair to check
and agree/disagree
• Check actual scores against estimates
3 Other Game Variations
2. Practice counting in multiples and using other adding strategies:
Instead of getting 1 point per body part, use the actual values of each
body part as the score. This is much harder but gets the learners
thinking. The maximum score will then be 43
e.g.
Body
Head
Eyes
Feelers
Legs
Wings
6
5
2x1
2x2
6x3
4x2
3. Draw crazy creatures: Throw the dice 12 times and draw the creature
that you get. Add up the values of the body parts drawn. See example
to the right: I threw: three 6s, four 3s, one 5, two 2s and two 1s, to get a
score of 41.
SANC: NUMERACY GAMES WITH DICE AND CARDS
1. Practice doubling: Score as above but double the scores at the end
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DRAWING THE BEETLE
There are 14 body parts - body, head, 2 wings, 6 legs,
2 feelers, 2 eyes
• you must throw a 6 to start - and you can then
draw the BODY
• throw a 5 - draw the HEAD – must be drawn before
eyes & feelers
• throw a 4 - draw the WING (2 of these)
• throw a 3 - draw a LEG (6 of these)
• throw a 2 - draw a FEELER (2 of these). Must have
the head first
• throw a 1 - draw an EYE (2 of these) Must have the
head first
5+
5+
6x3+
18 +
3x4+
12 +
1x2+
2+
2x2
4
= 41
SANC: NUMERACY GAMES WITH DICE AND CARDS
Sourced and adapted from: http://www.charnwoodcatalogue.co.uk/fundraising.php?info_id=138
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Sources of games
This booklet has been compiled using ideas from:
http://nrich.maths.org
www.pedagonet.com
www.education.com
http://www.charnwood-catalogue.co.uk/fundraising.php?info_id=138
Games used in SANC Maths Clubs
© 2012
South African Numeracy Chair, Education department
Rhodes University
Grahamstown
6140
SANC: NUMERACY GAMES WITH DICE AND CARDS
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