Here is a number on the board: 3,450. I want you to picture it changing.
What is 100 more than 3,450? And here is the interesting part: which single digit changed to get there?
Write 3,450 on the board and give five seconds of quiet think-time before any hands go up. Take two or three hands-up answers, not open call-outs.
Listen for pupils naming the hundreds digit as the one that changed (4 to 5). Revoice: so adding one hundred touched only the hundreds column this time. Hold the door open for the roll-over surprise coming in the next step.
Here are four jump examples. For each one, decide where the jump lands and keep an eye on which digits change. Sometimes it is more than one.
3,290 + 10 lands on 3,300. First roll-over: 9 tens fill up, roll to 0, pass one into the hundreds. Two digits change, not one. Let the arc animate first, then ask: what happens if a hundred is already full?
4,950 + 100 lands on 5,050. The key one. Hundreds already at 9, roll to 0, pass one on; 4 thousands become 5. Point out the roll-over reached all the way into the thousands.
6,200 minus 1000 lands on 5,200. The calm one: only the thousands digit changes, 6 to 5, no roll-over.
2,030 minus 100 lands on 1,930. Trickiest. No hundreds to take from, so borrow; both thousands and hundreds change. The zero is where pupils slip.
Today we work through these together on the number line: 10 more than 4,180, then 10 less than 3,506, then 100 more than 2,970, then 1000 more than 7,300. We will name the jump before we draw it, and we will spot every time a column rolls over.
This round is for talking it through together — pupils take turns at the board and the class agrees or corrects out loud.
Name the jump aloud before each pupil draws it (is this a forward jump or a back-jump?). For 4,180 + 10 the tens go 8 to 9, no roll-over. For 3,506 − 10 the tens are at 0, so both hundreds and tens change. For 2,970 + 100 the hundreds are at 9 — pause and let the class predict the roll-over into the thousands before it lands. For 7,300 + 1000 a tidy single-column change. Rotate four pupils.
In your maths copy, start from the number your teacher gives you. Write the number that is 1 more, 10 more, 100 more and 1000 more, one under the other.
Then do the same going the other way: write 1 less, 10 less, 100 less and 1000 less. Watch for any place where a column rolls over.
Give one clear starting number on the board (for example 4,295). Walk the room glancing for a column that rolls over and for the zero traps — this is whole-class copybook practice, not marking. No individual scoring.
Today we reach these targets by adding one jump each time: 100 more than 3,950, then 1000 more than 8,200, then 10 less than 4,605, then 100 less than 7,040. Predict where each one lands before we check, and watch out for a column rolling over.
These are the practice questions — 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.
For 3,950 + 100 the hundreds roll over into the thousands (4,050). 8,200 + 1000 is a clean thousands change (9,200). 4,605 − 10 has a zero in the tens, so both tens and hundreds shift (4,595). 7,040 − 100 has a zero in the hundreds, so both hundreds and thousands shift (6,940). Ask each time: does any other column have to change too?
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