A club had €2,450 in its account and spent €1,380 on new jerseys. We won't work it out yet — just roughly, about how much do you think is left over?
And where in this sum do you think we might have to rename a column before we can take away?
Take two or three hands-up answers for the rough estimate first (roughly €1,000), then ask where a rename might be needed. Keep it to estimating and predicting — don't solve it yet, this hook just gets pupils thinking ahead.
You already know how to rename with three-digit numbers. A fourth column changes nothing: work from the right, and when a column is too small, rename one from the column on its left. The interactive works three subtractions with the borrows marked. Predict each answer before we check it.
First one, 3,524 − 1,287 = 2,237: the warm-up, two ordinary renames, no zeros. Units 4 take 7 too small, so 4 becomes 14 and the tens drop by one; then rename in the tens. Same trade, one column further along.
Second, 4,003 − 1,576 = 2,427: units 3 take 6 too small, but tens and hundreds are zero. Ask what we can take from a zero before revealing. Borrow keeps moving left until it reaches the 4 thousand; each 0 it passes becomes 9.
Third, 5,000 − 2,648 = 2,352: the key one. Ask where the borrow starts. It travels all the way from the thousands; hundreds and tens become 9, units become 10, then subtract.
How can we be sure a subtraction is right? We add our answer back to the smaller number. If it gives us the larger number we started with, we know we were right.
Let's check the last one: 5,000 − 2,648 = 2,352. So we add 2,352 + 2,648. If it comes to 5,000, our subtraction was correct. We set the addition out in columns on the whiteboard together: 2,352 + 2,648 — units make 10, tens carry, hundreds carry — all the way back to 5,000.
Model the add-back explicitly so pupils know exactly how to reverse the operation. Say it aloud: 'the answer plus the number we took away should rebuild the number we started with.' Work the sum on the whiteboard together to confirm the total is 5,000. Keep this brief — it is a proof habit, not a new method.
This is a watch-the-board round — pupils take turns working each sum while the rest of the class predicts and checks along. We'll work these one at a time: 4,562 − 1,238, then 3,406 − 1,572, then 6,300 − 2,145, and finally 7,000 − 3,486. We'll say each rename aloud before we check it, and watch the zeros in the last two carefully.
This round is for talking it through together — pupils take turns at the board and the class agrees or corrects out loud. Reveal each sum on the interactive as it is worked, rather than showing all four at once.
Call one pupil up per problem. Have them stack the numbers, then work each column from the right, marking a borrow note where a column is too small. The rest of the class predicts whether each column needs a rename before the pupil works it.
Watch for the common slip on 6,300 and 7,000: pupils try to take from a zero directly. Revoice: 'there's nothing in the tens to take, so we go one more column left.' Rotate four pupils across the four problems.
In your maths copy, set out these two subtractions in columns, one under the other, and rename where you need to:
When you have each answer, check it by adding your answer back to the smaller number — it should give you the larger number you started with.
Walk the room glancing at column alignment and the borrow notes — this is whole-class copybook practice, not marking. Watch the second sum: 5,002 has a zero in the tens and hundreds, so the borrow keeps moving left. If a pupil is stuck on the add-back check, remind them the two smaller numbers should rebuild the top number.
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