Learning objectives
- Subtract three-digit numbers with a trade from the tens or the hundreds.
- Regroup across zeros, as in 700 − 286.
- Record each trade above the top number.
- Check a subtraction answer by adding.
Students subtract three-digit numbers needing a trade from the tens, from the hundreds or across a zero, and check with addition.
Only the colour PDF is ready for this resource so far. The other formats are on the way.
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Students subtract three-digit numbers that need regrouping, after a worked example takes 524 − 268 through a hundreds, tens and ones frame with both trades marked. The nine problems get harder by row: a trade from the tens, then from the hundreds, then zeros to trade across, as in 403 − 157 and 700 − 286, where students regroup twice before they can take away the ones. A robotics club story, 605 − 368, also crosses a zero. Students show each trade above the top number.
The key flags the most common slip: taking the smaller digit from the bigger one in every column, so 463 − 128 becomes 345. Have students ask "Is the top digit big enough?" before each column.
For the zero row, have students rewrite the top number before subtracting anything: 700 becomes 6 hundreds, 9 tens and 10 ones. Trading only once leaves an empty tens column, which is where students get stuck.
Ways to adjust the ten problems for different students.
Each one is checked against the official document. Where the resource covers only part of a standard, the note says so.
Students subtract three-digit numbers, trading a ten, a hundred or across a zero, and solve a story problem about points needed. Only subtraction is practised; adding is used only to check.
A worked example shows the trades in a hundreds, tens and ones chart, and students show their own trades above the top number. Students are not asked to explain how the written method connects to other tools.
Students check one subtraction by adding the answer back to get the starting number. This is a single item, and multiplication and division are not involved.
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