NRICH: Two Dice

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NRICH: Two Dice

 Find all the numbers that can be made by adding the dots on two dice.

Here are two dice.

If you add up the dots on the top you’ll get 7.
Find two dice to roll yourself. Add the numbers that are on the top.
What other totals could you get if you roll the dice again?

Notes for adults

You will need two dice to play this game. The children can count the total number of spots on the dice or add them together using number facts they already know.
Record the results and explore the different totals that you can get.
Help them to find all the possible combinations.

Printable NRICH Roadshow resource.
This activity provides a valuable experience for younger pupils to explore some simple additions while finding all possibilities.

What children need to know to play this game

The children need to be able to roll two dice and identify their score.

Possible approach

Using a dice with dots on, encourage discussion as to what numbers are represented by the faces of the dice before introducing the challenge itself.

 

You could support the children to collect their totals on the board. Ask them how they should be arranged and see if they can suggest a systematic way of recording their results. For example, they might start with all the totals that use a 1. In this way, you can ask the class to talk about the patterns they notice and this will help to reveal any combinations that are missing.

 

Key questions

These questions have been phrased in ways that will help you to identify the children’s prior knowledge about both the number concepts involved and the strategies and mathematical thinking needed to solve the problem.

Can you make a bigger/smaller total?
What is the highest total you could make?
What is the lowest total you could make?
If one dice shows 6, what could the other dice be showing?
How will you know when you’ve found all the totals?

 

Possible extension

You could make use of more dice and/or dice with different numbers of faces. Alternatively, consider finding the difference between the two numbers or the product of the two numbers.

 

Possible support

Children who struggle with addition may count the dots to help them but encourage them to articulate the number sentence once they have done so. This will help them to build the visualisations of the numbers as dotty dice patterns which will support their learning of number bonds.
Age 5 to 7

 

NRICH (University of Cambridge)
Math Topics
Addition & Subtraction
K-6
Kindergarten, 1st Grade, 2nd Grade
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NRICH (University of Cambridge)

NRICH provides thousands of free online mathematics resources for ages 3 to 18, covering all stages of early years, primary and secondary school education – completely free and available to all.

https://nrich.maths.org/
NRICH: More Playing with Dice KS1
NRICH (University of Cambridge)

Dice games for younger children.

https://nrich.maths.org/8377

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NRICH (University of Cambridge)

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Resource k12

K-12 Categories

Advanced Search

Submit a Resource

NRICH: Two Dice

 Find all the numbers that can be made by adding the dots on two dice.

Here are two dice.

If you add up the dots on the top you’ll get 7.
Find two dice to roll yourself. Add the numbers that are on the top.
What other totals could you get if you roll the dice again?

Notes for adults

You will need two dice to play this game. The children can count the total number of spots on the dice or add them together using number facts they already know.
Record the results and explore the different totals that you can get.
Help them to find all the possible combinations.

Printable NRICH Roadshow resource.
This activity provides a valuable experience for younger pupils to explore some simple additions while finding all possibilities.

What children need to know to play this game

The children need to be able to roll two dice and identify their score.

Possible approach

Using a dice with dots on, encourage discussion as to what numbers are represented by the faces of the dice before introducing the challenge itself.

 

You could support the children to collect their totals on the board. Ask them how they should be arranged and see if they can suggest a systematic way of recording their results. For example, they might start with all the totals that use a 1. In this way, you can ask the class to talk about the patterns they notice and this will help to reveal any combinations that are missing.

 

Key questions

These questions have been phrased in ways that will help you to identify the children’s prior knowledge about both the number concepts involved and the strategies and mathematical thinking needed to solve the problem.

Can you make a bigger/smaller total?
What is the highest total you could make?
What is the lowest total you could make?
If one dice shows 6, what could the other dice be showing?
How will you know when you’ve found all the totals?

 

Possible extension

You could make use of more dice and/or dice with different numbers of faces. Alternatively, consider finding the difference between the two numbers or the product of the two numbers.

 

Possible support

Children who struggle with addition may count the dots to help them but encourage them to articulate the number sentence once they have done so. This will help them to build the visualisations of the numbers as dotty dice patterns which will support their learning of number bonds.
Age 5 to 7

 

NRICH (University of Cambridge)
Math Topics
Addition & Subtraction
K-6
Kindergarten, 1st Grade, 2nd Grade

What are you looking for?

Organization

NRICH (University of Cambridge)

Website URL

Type of Resource

Dice & Dominoes
Tutorial

Assigned Categories