Dice games
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Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about finding the sum of 3 numbers.
Some friends are playing a game. They throw 3 dice and add the numbers to get the sum.
Task administration:
This task can be completed online or with pencil and paper. If completed online, auto-marking will be displayed to students.
You may want to make dice available for some students.
Level:
1
Curriculum info:
Key Competencies:
Description of task:
Students add the numbers shown on three dice.
Curriculum Links:
This resource can be used to help to identify students' achievement levels for adding and subtracting whole numbers.
Learning Progression Frameworks
This resource can provide evidence of learning associated with within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.Answers/responses:
| Y2/3 (03/2017) | ||
| a) | 9 | very easy |
| b) | 13 | very easy |
| c) | 12 | very easy |
| d) | 17 | very easy |
Based on an online sample of 30 students.
Teaching and learning:
Make sure students understand the meaning of the word 'sum' as it is used throughout this resource.
This resource provides an opportunity for students to apply strategies such as 'making ten' (6 + 4 = 10, 10 + 2 = 12) or to apply their knowledge of doubles to solve a problem (6 + 6 = 12, 12 + 5 = 17).
When using these strategies students may need to apply the law of commutativity to find the answer.
Diagnostic and formative information:
Some students gave responses that were one more or one less than the correct answer.
Some students only added the results of the first two dice.
Next steps:
For students whose results were out by one, have them work with a buddy or in a small group, discussing their results and coming to a consensus on the correct answer.
For students who only added the first two numbers on the dice, have them explain their strategy to a buddy. Encourage or remind them to look at all three dice when adding up the numbers.
Students can also be encouraged to find pairs of numbers that add to 10 or to quickly add doubles such as 5 + 5 or 6 + 6 before adding on the third number.
Students could use three dice, roll them and add up the sum then keep a record of their method to share with others (e.g. on a small whiteboard, using the "Show Me" app or on video).
Students can also play board games using dice, adapting ones that traditionally use only two dice and using three instead. Yahtzee is another way to practise adding numbers represented by dice. Free versions of Yahtzee can be found online (note that some of these do the addition for you).
For more information on addition concepts, common misconceptions, and strategies go to the Addition and Subtraction Concept Map
Links to Numeracy Professional Development Projects
Book 5: Teaching Addition, Subtraction, and Place Value: pages 21-24 (moving students from one-to-one counting to counting from one on materials or imaging), pages 29-32 (moving students from counting all to advanced counting) and pages 40-42 (moving students from advanced counting to early additive).