Equal groups: multiplying and dividing

Put apples into equal groups, build arrays and see how multiplying and dividing fit together.

Guide

This studio covers Year 1–3 work on multiplication and division. Your child works with counters and answers by tapping a number.

Here 3 × 4 means "3 groups of 4", which is 4 + 4 + 4 (repeated addition). A common slip is to add the two numbers (3 + 4 = 7).

Division has two meanings: sharing (share 12 apples between 3 plates: how many on each?) and grouping (put 15 counters into groups of 5: how many groups?). Both are answered by a multiplication fact: 3 × 5 = 15, so 15 ÷ 5 = 3.

Turning an array shows that 4 × 5 = 5 × 4 (the commutative property), and splitting one shows that 4 × 7 = 4 × 5 + 4 × 2 (the distributive property).