Mathematics

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50 mins

Teacher/Student led

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Learning Outcomes

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+80 XP

What you need:
IWB/Projector/Large Screen

Fact Families and the Link Between Add and Take Away

Explore how three numbers make a whole family of four number sentences: two additions and two subtractions. Discover how adding and taking away undo each other.

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

1 - Getting Started ~4 mins

Here are three numbers: 3, 5 and 8. Just these three, nothing else.

Key question

Can you write a number sentence that uses all three of them and is true? Find one, then try for another. Hands up when you have two.

👇 Mark your steps as done as you complete them.

+5 XP

2 - Watch and Notice ~9 mins

Look at the bond on the board. The big circle holds the whole, 8. The two small circles hold the parts, 3 and 5. The two parts add up to the whole.

Watch what happens when we cover different circles. If we cover the whole, the two parts tell us to add. If we cover one part, we start with the whole and take the other part away.

One bond, and four true sentences hide inside it.

👇 Mark your steps as done as you complete them.

+10 XP

3 - Try It Together ~11 mins

What you'll do

Build each bond in turn. Step the two parts up until they make the whole, and watch the whole change as you go.

parts 4 and 3
parts 6 and 2
parts 3 and 7

When a bond is built, read out all four facts hiding inside it: two adds and two take-aways.

Build the parts, read the family

+15 XP

4 - Write the Fact Family in Your Copy ~3 mins

COPYBOOK MOMENT

In your maths copy, write all four number sentences in the fact family for 4, 6 and 10. Two of them are adds and two are take-aways.

Start each take-away with the whole, 10.

+10 XP

5 - Class Challenge ~8 mins

Four bonds, one at a time on the board. For each one, work out the number that is missing before we check it.

the whole is 9 and one part is 2 — what is the other part?
the whole is 10 and one part is 6 — what is the other part?
the whole is 13 and one part is 7 — what is the other part?
the parts are 8 and 3 — this time it is the whole that is missing

Before you touch the steppers, say which number you are hunting for: a part, or the whole.

Find the missing number in the family

+15 XP

Pupil practice

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

Lesson 124 · Fact Families and the Link Between Add and Take Away

Download Activity Book page (PDF)

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