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- 1. Whole NumbersAddition & Subtraction Marshall Cavendish Institute Peggy Foo
- 2. Learning Outcomes State the purpose of number bonds Use addition and subtraction strategies
- 3. Number Bonds Number bonds are different combinations of numbers that make up a given number.
- 4. Different Types of Bonds 67 - 56 = 11 7 – 1 + 5 x 2 = 16 2+3=5 80 ÷ 10 = 8 7 X 8 = 56
- 5. Purposes Number bonds lay a strong foundation for learning addition and subtraction efficiently. Number bonds also enhance mental computations
- 6. Activities for Lower Grades Using the magnets and 10-frame How many bonds are there to make 10?
- 7. Use concrete manipulative Generate different possible ways/ bonds Move to pictorial stage
- 8. Extension What are the different sums that you can get with different sets of whole numbers? What can you observe? What can you observe about the number in the middle? What can you observe about the sums?
- 9. Open-ended task (with more than 1 sum) Generate different possible ways/ bonds Problem-solving task
- 10. Addition Strategies using Number Bonds Near-10 Strategy12 13 3
- 11. The Doubles Strategy12 13 3
- 12. Addition Strategies using NumberBonds Near-100 Strategy 245 + 98
- 13. Addition Strategies using NumberBonds Near-100 Strategy 245 + 98Rewrite 98 as (100-2)Add 245 + 100 = 345We add more than we should345 – 2 = 343
- 14. Debriefing The ability to see numbers in different combinations is developing number sense/ number concept.
- 15. How many ways to find the value of 43 + 29
- 16. Additional Strategies using NumberBonds Using Hundred Chart 43 + 29 = 43 + 30-1 (near-ten strategy) = 73-1 = 72 43 + 29 = 60 + 12 (place value concept) = 72
- 17. Subtraction Strategies usingNumber Bonds Addition bonds for Subtraction16 – 9
- 18. Subtraction Strategies usingNumber Bonds Addition bonds for Subtraction16 – 916 is made up of (10 + 6)Use 10 – 9 = 1Add 1 to 6 (remaining number in the bond)1+6=7
- 19. Subtraction Strategies usingNumber Bonds Near-100 Subtraction Strategy256 - 97
- 20. Subtraction Strategies usingNumber Bonds Near-100 Subtraction Strategy256 - 97Rewrite 97 as (100 – 3)256 – 100 = 156Subtract more than we should156 + 3 = 159
- 21. How many ways to find thevalue of 67- 49
- 22. Subtraction (renaming once) 67-49 = 67-50 +1 (near 10 strategy) = 17+1 = 18 67-49 = 18 (place value concept)
- 23. Place Value Concept To add and subtract using formal algorithms Use place value concept to develop conceptual understanding Use base ten
- 24. Summary Concrete-Pictorial-Abstract Approach Aim to develop conceptual understanding before procedural understanding (Richard Skemp)
- 25. Summary Mental Strategies Formal Algorithm involving number bondsAddition Strategies: Place value concept1) Near-10 Strategy2) The doubles Strategy3) Near-100 StrategySubtraction Strategies:1) Addition Bonds forsubtraction2) Near-100 SubtractionStrategy

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