Mathematics
Advanced
50 mins
Teacher/Student led
+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 ~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 StartedNow 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?

    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?

    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

    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.

    5 - Class Challenge ~8 mins

    Today we build and share four totals in turn. For each one, we write the whole times-and-share family of four facts. Here are the four totals: 10 shared into 2, then 12 shared into 3, then 20 shared into 5, and finally 18 shared into 6.

    Keep the model four-fact family from your copy on the board while you write. Your families follow the same four-fact shape.

    Share the total, write the family

    Pupil practice
    Module 10 · Algebra: Patterns, Rules and Number Sentences Mixed
    Lesson 116 · The Link Between Multiplying and Dividing
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