This document provides an overview of numeracy strategies taught at different stages. It discusses strategies for addition, subtraction, multiplication and division. Examples are given to illustrate place value partitioning, compensation, repeated addition, and other approaches. The summary also mentions proportional problems and how strategies are used to solve them. Real-life examples are given throughout to demonstrate numeracy concepts. Parents are advised on activities to support numeracy development at home.

1. Numeracy Parent Information Session 2011 Presented by: Lisa Bonniface and Verna Cameron

2. Introduction What is Numeracy? Why do we teach this way?

3. Numeracy Stages

4. Knowledge and Strategy Knowledge: Facts you should automatically know Provides the foundation for strategies Strategy: Using the facts you know to solve problems How you solve problems - the mental process

5. Examples of some strategies that children use for addition and subtraction…

6. Stage 4: I am learning to add by counting on when the larger number is given first. 8 + 3 = 1 2 3 4 5 6 7 8 9 10 11 8 + 3 = 11 9, 10, 11

7. Stage 5: 14 - 6 = 14 - 4 - 2 = 8

8. Stage 6 Examples Solve: 53 – 29 Analyse the strategy you used to solve this based on what you see next.

9. 53 - 29 Tidy Numbers using Compensation 53 - 30 + 1= 24

10. 53 - 29 Place Value Partitioning 53 - 20 - 3 - 6 = 24

11. 53 - 29 Reversibility 29 + 1 + 20 + 3 = 53

12. 53 - 29 Equal Additions = 24 53 29 1 1 54 30

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

14. Stage 7 Example: Solve using multiplication 27 + 54 (9x3) + (9x6) so 9x9 = 81

15. Stage 8 Example Proportional Problem: If 30 children pay a total of 75 dollars in entry fees to Rainbows End, how much money will 18 children pay?”

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…

18. 8 x 6 Skip Counting: Stage 4 6 12 18 24 30 36 42 48

19. 8 x 6 Repeated Addition: Stage 5 12 + 12 = 24 24 + 24 =48

20. 8 x 6 Derived Multiplication: Stage 6 8 x 5 = 40 8 x 1 = 8

21. 8 x 6 10 x 6 = 60 60 - (2x6) =48 Derived Multiplication: Stage 6 2 x 6 = 12

22. 3 x 18 Tidy Numbers using Compensation 10 10 10 10 10 10 3 x 20 = 60 60 – (3 x 2) = 54

23. Stage 7 Examples

24. 3 x 18 Place Value Partitioning 30 + 24 = 54 10 10 10 3 x 10 = 30 3 x 8 = 24

25. Proportional Adjustment:

26. 3 x 18 3 x 9 3 x 9

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.

29. Numeracy Lessons Warm up Small group teaching WALHT Thinking groups Strategies Real life demonstration

30. What you can do at home Basic facts - addition and subtraction facts and times tables as your children get older Everyday life Family of facts Picture books e.g. The Very Hungry Caterpillar Websites www.mathletics.co.nz www.nzmaths.co.nz

31. Resources Flash cards Numbers up (google search Numbers up and follow the link to gold-software.com) Monopoly, Shrek Operation, Snakes and Ladders, Snap / Memory / Fish Card games Mathletics

32. Any Questions?