Mathematics

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50 mins

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+80 XP

What you need:
IWB/Projector/Large Screen
Counters

The Link Between Multiplying and Dividing

Explore how multiplication and division are inverse operations using arrays. Build times-and-share fact families where the same three numbers create two times facts and two division facts.

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1 Getting Started
2 Watch and Notice
3 Try It Together
4 Draw the Array in Your Copy
5 Class Challenge
6 What Did We Notice?
7 What's Next
Pupil practice

1 - Getting Started ~4 mins

Key point

Look at the counters. They are set out in 4 rows, with the same number in each row. How many counters are there altogether?

Illustration for Getting Started Now here is a wondering for us. What do you think would happen if we scooped them all up and shared them back out into 4 equal rows again?

👇 Mark your steps as done as you complete them.

+5 XP

2 - Watch and Notice ~8 mins

Two words we will use all lesson: a times fact multiplies groups together, and a share fact deals a total back out — both use the same three numbers. The interactive deals out three sharings. After each one, ask yourself: what times fact matches this share?

👇 Mark your steps as done as you complete them.

+10 XP

3 - Try It Together ~9 mins

Today we work through four sets together. For each one, we deal the total into equal groups on the board. Then we read the times fact off it. Then we say the share fact that undoes it.

Here are our four sets: 2 groups of 5, then 3 groups of 4, then 5 groups of 4, and finally 6 groups of 3. Reset the tool for each new set.

Deal into equal groups, read both facts

+15 XP

4 - Draw the Array in Your Copy ~3 mins

COPYBOOK MOMENT

In your maths copy, draw an array of 2 rows of 5 counters. Underneath it, write the two times facts and the two share facts it shows.

+10 XP

Pupil practice

Module 10 · Algebra: Patterns, Rules and Number Sentences Algebra

Lesson 125 · The Link Between Multiplying and Dividing

Download Activity Book page (PDF)

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