### Purpose:

You can help your child to use physical materials to represent multiplication equations.

### What you need:

- A collection of shells (or leaves)
- Pencil and paper
- Written multiplication and division equations (PDF, 22KB)

### What to do:

Play this game with your child.

For example:

2 x 5 = 10 2 rows/groups of 5 = 10 |
4 x 3 = 12 4 rows/groups of 3 = 12 |
5 x 4 = 20 5 rows/groups of 4 = 20 |

### Questions and further challenges

Consider this. One person has made:

This represents 4 x 3 = 12 because 4 groups, or rows of three, is 12 shells altogether.

What if this card is turned over?

Discuss that you can look at this arrangement (array) from the side and see 3 x 4 = 12

(This is called the commutative property of multiplication but your child is not expected to know this.)

Decide whether you are happy to accept both equations 4 x 3 = 12 and 3 x 4 = 12 and discuss why.

As you play the game, add a further challenge. If a player has an array and an equation that match, they are required to also write a division problem that the shell arrangement also shows.

For example:

This person would record 12 ÷ 4 = 3 and explain “When I divide 12 shells into 4 equal groups, there are three in each group.”

### What to expect your child to do:

- Correctly read multiplication equations.
- Understand and be able to represent a multiplication equation with materials.
- Write a division equation to correctly represent an array of shells.

### He Kupu Māori:

whakarea |
multiplication |

ōrite |
equal |

whakawehe |
division |

### Download a file of this activity:

PDF (538KB)