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Addition by Partitioning Numbers

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Addition by Partitioning Numbers

Place value blocks showing hundreds, tens and ones

🎯 WALT: We Are Learning To partition numbers up to 1000 and use partitioning to add efficiently

Success Criteria:

✓ I can partition numbers into hundreds, tens, and ones
✓ I can add numbers by partitioning and recombining
✓ I can check my answers for reasonableness

📚 Part 1: Partitioning Practice

1. Partition these numbers into hundreds, tens, and ones:

Example: 456 = 400 + 50 + 6

a) 237 = _______ + _______ + _______

b) 584 = _______ + _______ + _______

c) 691 = _______ + _______ + _______

2. Choose the correct partitioning for 348:

300 + 40 + 8

340 + 8

30 + 40 + 8

300 + 48

3. Which partitioning strategies help with addition? (Check all that apply)

Breaking numbers into hundreds, tens, and ones

Adding the hundreds first, then tens, then ones

Recombining the parts to find the total

Guessing the answer without working

🧮 Part 2: Addition by Partitioning

4. Complete this addition using partitioning:

246 + 132 = ?

246 = _____ + _____ + _____

132 = _____ + _____ + _____

Add hundreds: _____ + _____ = _____

Add tens: _____ + _____ = _____

Add ones: _____ + _____ = _____

Total: _____ + _____ + _____ = _____

5. Solve these addition problems using partitioning. Show your working:

a) 375 + 214 = _____

Working:

b) 428 + 356 = _____

Working:

6. Real-world problem: A school collected 267 cans on Monday and 425 cans on Tuesday for recycling. How many cans did they collect in total?

Show your partitioning method:

Answer: _________ cans

🌟 Extension Challenge

7. Advanced learners: Create your own addition problem using two 3-digit numbers. Solve it using partitioning and explain why your answer is reasonable.

My problem: _____ + _____ = ?

Solution using partitioning:

8. Reflection: Explain in your own words why partitioning makes addition easier:

Dyslexia-Friendly Tip: Use different coloured pens for hundreds (red), tens (blue), and ones (green) to help organise your thinking!

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