Mathematics
Beginner
50 mins
Teacher/Student led
+65 XP
What you need:
IWB/Projector/Large Screen

Properties of Operations, Order and Inverse Links

Explore how swapping the order of numbers in addition and multiplication keeps the answer the same, and discover how inverse operations undo each other using balanced scales.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedOn one set of scales the left pan holds 4 + 9. On another the left pan holds 9 + 4. Both right pans hold 13.

    Is this right? Will both scales stay level, even though the numbers have swapped places?

    2 - Watch and Notice ~9 mins

    Look at the illustration. It shows four balanced scales. On each one, the two pans look different but stay perfectly level. Look for the pattern in each pair, what has been swapped, and what has been taken back off.

    3 - Try It Together ~11 mins

    We'll balance these on the scales together, one at a time. Predict each missing block first, then say whether it came from swapping the order or from taking a number back off.

    • 6 + 7 = 7 + ?
    • 5 + 9 = 9 + ?
    • 7 + 8 = 15, so 158 = ?
    • 9 + 5 = 14, so 145 = ?

    Balance the swap and the undo

    4 - Write the Fact Pairs in Your Copy ~2 mins

    COPYBOOK MOMENT

    In your maths copy, write 7 + 8 with its matching subtraction fact, and 6 × 4 with its matching division fact. Join each pair with a "↔" arrow to show that one undoes the other.

    5 - Class Challenge ~9 mins

    Now you try these on the scales, one at a time. Predict each missing block before we check, and say which idea you used — swapping the order or taking a number back off.

    Swap it or undo it

    Pupil practice
    Module 10 · Algebra: Patterns, Rules and Number Sentences Mixed
    Lesson 125 · Properties of Operations, Order and Inverse Links
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