13. Summary of Strategies Tidy numbers using Compensation 53 - 30 + 1 53 - 29 Place Value Partitioning 53 - 20 - 9 Equal Additions 54 - 30 Reversibility 29 + ? = 53
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16. Strategies for solving Proportional problems: 30:75 is the same as 2:5 therefore multiply both by 9 18:45 30:18 = 10/6 10 parts of 75 =7.5 p/ part 6 parts @ 7.5 p/part = 45 18 /30 is the same as 3/5 so it is 3/5 of 75 which is 45 because 1/5 is 15 30 children gives $75 1 child gives $2.50 18 x 2.5 18 children gives $45.00
17. Examples of some strategies that children use for multiplication and division…
27. 6 x 9 = 54 Proportional Adjustment: 3 x 18 6 x 9 x 2 ÷ 2
28. Possible Multiplicative Strategies Place Value 5 x 30 = 150. And 5 x 6 = 30. So 150 + 30 = 180 Doubling and Halving. Double 5= 10, half 36= 18. So 10 x 18 = 180 Written Form 36 X 5 180 5 x 36 = Tidy Numbers I know 5 x 40 = 200. 200 - (4x5) = 180.