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Addition Subtraction Regrouping Algorithms

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Addition Subtraction Regrouping Algorithms

Student working with numbers and regrouping

🎯 WALT (We Are Learning To)

We are learning to use regrouping algorithms to solve addition and subtraction problems accurately.

Success Criteria:

✓ I can add numbers with regrouping (carrying)

✓ I can subtract numbers with regrouping (borrowing)

✓ I can explain my working steps

✓ I can solve word problems using these algorithms

📊 Part 1: Vertical Addition and Subtraction

1. Solve these addition problems. Show your regrouping clearly:

a) 347 + 268 = _______

b) 529 + 387 = _______

c) 1,456 + 789 = _______

2. Solve these subtraction problems. Show your regrouping clearly:

a) 523 - 187 = _______

b) 804 - 356 = _______

c) 1,000 - 467 = _______

3. Find the missing digits:

a) 2_4 + 1_8 = 462

b) 6_3 - 2_7 = 386

4. Word Problems - Show your working:

a) A school library has 1,247 fiction books and 568 non-fiction books. How many books are there altogether?

b) There were 802 students at the school concert. 349 students left during interval. How many students stayed for the second half?

🧠 Part 2: Thinking and Extension

5. Estimate first, then calculate:

738 + 294

My estimate: _______

Actual answer: _______

Was my estimate close? _______

6. Explain your thinking:

When subtracting 456 - 189, why do you need to regroup? Explain the steps you would take.

7. Challenge Problem (Extension):

Add three numbers with regrouping: 347 + 289 + 176 = _______

Show your strategy for adding three numbers efficiently:

8. Create Your Own:

Write a word problem that requires subtraction with regrouping. Include the answer.

🎯 Differentiation Support

Need Help? Use place value blocks or draw pictures to show regrouping

Confident? Try the challenge problem and create your own multi-step word problems

Extension: Research and explain a different algorithm for addition or subtraction

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