1. Demystifying Maths - Numeracy Parent Information Evening

2. Outline Numeracy Project Framework – an introduction Explaining Numeracy Stages Explaining the difference between knowledge and strategy Talking about expectations. What stage should my child be at? (As used in school reports) Explanation of how we use equipment to teach numeracy Question time What can parents do at home?

3. Why? International results of TIMMS test in the 1990’s were concerning. Research had shown that children developed numeracy understandings through stages (not necessarily age- related).

4. Numeracy Project Goal “to be numerate is to have the ability and inclination to use mathematics effectively – at home, at work and in the community” Published in Curriculum Update 45:

5. The NZ Numeracy Framework Each Numeracy Stage highlights key knowledge and strategy that a child should know. Strong knowledge is essential for students to broaden their strategies across a full range of numbers. StrategyKnowledge Creates new knowledge through use Provides the foundation for strategies

6. Goals developing multiple flexible thinking strategies mental and oral before written standard vertical forms Make decisions about the smartest strategy to use on any given problem. Challenge children to achieve and develop a positive attitude towards learning mathematics.

7. Developmental Stage Progression The New Zealand Number Framework

8. Numeracy Stages Emergent One to One Counting Count from one on Materials Count from one by Imaging Advanced Counting Early Additive Part-Whole Advanced Additive Part-Whole Advanced Multiplicative Advanced Proportional Counting Strategies Non Counting Strategies

9. Emergent Numbers to 5 –read, count, order Number before & after 0-5 Count a set of up to 5 things Form a set of up to 5 things

10. 1 One to One Counting Numbers to 10 – read, count forwards and backwards, order Number before & after 0-10 Count a set of up to 10 things Form a set of up to 10 things Instantly recognise patterns to 5 Join and split sets ie add and subtract to 10

11. 2 Counting from One on Materials Numbers to 20 – read, count forwards and backwards, order Number before & after 0-20 Know groupings to 5 2+3, 4+1 Know groupings with 5 5+2 5+4 Solve addition and subtraction to 10 by counting all objects

12. 3 Imaging Numbers to 20 – read, count forwards and backwards, order Number before & after 0-20 Skip count 2’s, 5’s 10’s Know groupings to 10 3+7, 2+8 Recognise patterns to 10 10’s frames, hands, dice Doubles to 10 3+3, 4+4 Solve problems by counting forwards in their head without seeing counters 16+3 17, 18, 19 Solve problems by counting backwards in their head 12-3 11, 10, 9 Solve multiplication by counting all eg 4 groups of 2, 12 3 4 5 6 7 8 Find ½ and ¼ of shape and set

13. 4 Advanced Counting Numbers to 100 – read, count forwards and backwards, order, write Number before & after 0-100 Skip count 2’s, 5’s 10’s to 100 Know groupings to 20 13+7, 12+8, 20-16 Know how many 10’s in number to 100 eg 6 tens in 60 Know teen facts eg 6+10=, 13-3=, 10+ =17 Know multiples of 10 adding to 100 eg 40+60 Know doubles and halves to 20 Solves addition by counting on from biggest number eg 23+8, 24 25 26 27 28 using fingers Solves subtraction by counting backwards 29-3, 28 27 26 and by counting up 12-8 9(1) 10(2) 11(3) 12(4) using fingers Able to add 10’s to numbers 13 23 33 43 Able to use skip counting to solve multiplication and division

14. 5 Early Additive Numbers to 1000 – read, count 1, 10, 100 more or less, order, write Number before & after 0-100 Skip count 3’s Know groupings to 100 43+57 Know how many 10’s in 3 digit number eg 63 tens in 634 Order fractions with same denominator, read fractions under 1 Solve fraction of number using skip counting or division 1/3 of 12 Able to solve Multiplication and division for 1’s, 2’s, 3’s, 4’s, 5’s 10’s Knows Doubles+1 eg 7+8 7+7=14 so 7+8 is 1 more = 15 Able to split to make 10’s eg 18+4 18+2=20(nearest 10) 20+2=22 Able to use place value partitioning eg 34+55 (30+50) + (4+5) =89 Able to use tidy numbers eg 9+6 same as 10+5=15, 18+6 = 20+6-2 Able to use reversing eg 78-39 = 39+ =78

15. 6 Advanced Additive Numbers to 1,000 000 Read decimals to 3 decimal places 0.764 and round to nearest 1 Read all fractions including>1 eg 5/8, 12/7, 1 2/3 Skip count in ½’s ¼’s 1/3’s 1/5’s 1/10’s Say 1, 10, 100, 1000, more or less than any number Round to the nearest 10, 100, 1000 Know 10’s and 100’s in 4 digit number 4753 has 475 tens & 47 tens Derive all multiplication facts Know Compensation (Tidy numbers) 390+79 = (390+80)-1 Know Place Value Partitioning 394-79 = 394-70=324 -9 Compatible numbers 45+37+55 (45+55)+37 Reversibility 403-97 97+ =403 Equal Additions (adding to both sides) 403-97 same as 406-100 Standard written forms for addition and subtraction Multiplication Strategies – doubling, splitting and adding, doubling and halving, rounding, solving in parts Fractions ¾ of 24, ratios 2:3 is :6, equivalent fractions

16. Advanced Multiplicative Numbers to 3 decimal places Order decimals to 3dp eg 0.5, 0.42, 0.215 Order mixed fractions How many 1/10’s 10’s 100’s 1000’s in 7 digit numbers Recall all multiplication and division facts Convert decimals to fractions to percentages for ½ ¼ 1/3 1/5 1/10 Know squares and square roots eg 3 2 Know factors and multiples eg Factors of 35 (1, 5, 7, 35) Multiples of 4 (4, 8, 12, 16, 20…) Find common multiples of numbers to 10 Able to use all strategies for decimals and fractions Addition and subtraction of integers -6 + 4 Equivalent fractions Standard written forms for x and ÷

17. Advanced Proportional Numbers to 3 decimal places Order fractions, decimals and percentages 0.4, 50%, 4/5 How many 1/10’s, 1/100’s, 1/1000’s, in numbers to 3 dps, 3.167 has 31 tenths Conversions of fractions decimals percentages Prime numbers to 20 Converting fractions to common denominators to add and subtract Simplifying fractions Converting ratios to fractions and back Using all strategies for fractions & decimals to 3 dp

18. The Reality? To become a Part-Whole thinker, children need automatic recall of … Facts to Ten Doubles Facts Ten and ….10 + 6 = 16 To Become a Multiplicative thinker children need to be able to recall the x tables

19. Knowledge and Strategy Knowledge – Number Identification, Number sequence and order, Grouping and place value, basic facts Strategy – Addition and Subtraction, Multiplication and Division, Fraction and Proportions

20. Number Strategies Subtraction There are 53 people on the bus. 29 people get off. How many people are now on the bus?

21. Time to Think!!!

22. Solution 53 – 29 = How did you work it out? What happened in your head? Share your different strategies with the people around you

23. Make sense of these strategies “I use tidy numbers: 53 – 30 = 23 plus 1 = 24 I use balancing. 53 – 29 = 54 – 30 = 24 “I think of 53 -29 3 – 9 I can’t do so I borrow a ten. 13 – 9 = 4. 4 tens – 2 tens = 2. It’s 24 “I use an open number line!” 53 – 29 = 29 53 +20 +20+20 30 +3 +1 50 +1 I use place value “53 – 20 = 33. Minus another 9. Split the 9 into 3 and 6. 33- 3 = 30 – 6 = 24

24. Number Strategies Multiplication There are 4 packets of biscuits with 24 cookies in each pack. How many cookies are there altogether?

25. Solution 4 x 24 = How did you work it out? What happened in your head? Share your different strategies with the people around you. How else could this problem be solved?

26. Make sense of these Strategies. “I used place value 4 x 20 = 80. And 4 x 4 = 16. 80 + 16 = 96 I used doubling and halving. Double 4 = 8, half 24 = 12. 8 x 12 = 96 “I think of 24 X4 4 x 4 = 16. Put down the 6 and carry the 1. 4 x 2 = 80 + another ten = 90 90+6 = 96 4 x 24 = “I use tidy numbers: I know 4 x 25 = 100. 100-(1x4) = 96. “I know 24 + 24 = 48. 48 + 48 = 96

27. Expectations End of Year 1 End of Year 2 End of Year 3 End of Year 4 End of Year 5 End of Year 6 End of Year 7 End of Year 8

28. Using Equipment Fly Flips Dice Hands, Squeezy, Number line Hundreds Flip board Arrow Cards

29. How can parents help?

30. Knowledge Building Counting (cars, shells on beach, pegs, run around the house, count backwards, start from different numbers etc.) Numbers before and after (Letter boxes, say a number, write a number down, keyboard numbers, using dice etc.) Identifying numbers ( Number plates, speed signs, how many km to go, cooking etc.) Ordering numbers (Mailbox, money, TV channels,ages etc. )

31. Where to now? Ask questions.

32. Handout - Parent maths information Website -www.nzmaths.co.nz