Mathematics
Advanced
50 mins
Teacher/Student led
+65 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 ~4 mins

    Illustration for Getting StartedHere are three numbers: 3, 5 and 8. That's all you get.

    Key point

    How many true number sentences can you make using just these three numbers? Hands up when you have found more than one.

    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.

    3 - Try It Together ~11 mins

    What to do

    Today we build these bonds together. Set the two parts to make the whole, then read all four facts in each family before we check:

    • parts 4 and 3 — whole hidden until you set both parts
    • parts 6 and 2 — whole hidden until you set both parts
    • parts 3 and 7 — whole hidden until you set both parts

    For each one, build the two parts. When they are right, the whole circle lights up. Then read out all four facts in the family before we check.

    Build the parts, read the family

    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.

    5 - Class Challenge ~8 mins

    We solve these together, one at a time on the board. Say each one aloud before we check:

    • whole 9, one part is 2
    • whole 10, one part is 6
    • whole 13, one part is 7
    • parts 8 and 3, whole hidden — this one catches people out
    Watch out

    Parts 8 and 3, whole hidden — this one catches people out

    Each bond appears on its own, so you only ever hold the one in front of you.

    Find the missing number in the family

    Pupil practice
    Module 10 · Algebra: Patterns, Rules and Number Sentences Algebra
    Lesson 115 · Fact Families and the Link Between Add and Take Away
    Download Activity Book page (PDF)

    Practice at home
    Homework
    Device required
    Tonight's homework — work through these on your device.
    Number bonds
    123learn · Online learning platform

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