On 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?
Take three hands-up answers, not open call-outs. Give five seconds of quiet think-time first. Do not confirm yet — hold out for the reason as well as the yes/no, then move to the board.
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.
These scales add the blocks on each pan, so we keep them to additions and subtractions; the multiplication swap and the division undo are written down in the copybook step instead. Work through the four beams in order:
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.
This round is for talking it through together — no marking yet. Pupils take turns at the board and the class agrees or corrects out loud. The beam presents the four tasks one at a time; slide the missing block until it levels, then hold out for the reason before pressing on.
For the two swap tasks the answer is the number that was swapped (6, then 5). For the two undo tasks the answer is the number you started with before you took away (7, then 9) — the subtraction hands the number back. One undoes the other — say it each time the beam settles.
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.
Walk the room glancing for the ↔ arrow and that the second fact really undoes the first — this is whole-class copybook practice, not marking. This is where the multiplication and division facts get written down, since the scales only add.
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.
This is the practice round — pupils solve on their own before the class checks together. Pupils take turns at the board, check each answer, and the class confirms before moving on. Keep the board work brisk rather than over-explaining.
The first two questions test the swap rule (answer 8, then 4); the last two test the undo rule with fresh facts (answer 6, then 8). On the undo questions ask what number went in before we took the block away, before revealing — this is where the undo idea has to do real work.
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