1. 1 Developing Calculation Strategies CPD Course 7 th February 2007 Introduction

2. 2

3. 3 Alphabetland The new number names are: A, B, C, D, … You must not ‘translate’ these number names into the banned number names one, two, three,... i How many fingers on your left hand (thumbs count as fingers)? ii How many fingers do you have altogether? iii C + Div B + Ev K – B vi E + Evii G – Dviii E + F vi E + Evii G – Dviii E + F Extension questions, if you have time: ix) D  Cx) D B

4. 4 A new table to learn 1*1 = 32*1 = 73*1 = 134*1 = 21 1*2 = 42*2 = 93*2 = 164*2 = 25 1*3 = 52*3 = 113*3 = 194*3 = 29 1*4 = 62*4 = 133*4 = 224*4 = 33 1*5 = 72*5 = 153*5 = 254*5 = 37 1*6 = 82*6 = 173*6 = 284*6 = 41 1*7 = 92*7 = 193*7 = 314*7 = 45 1*8 = 102*8 = 213*8 = 344*8 = 49

5. 5 2*6= 17

6. 6 4*3= 29

7. 7 A new table to learn 1*1 = 32*1 = 73*1 = 134*1 = 21 1*2 = 42*2 = 93*2 = 164*2 = 25 1*3 = 52*3 = 113*3 = 194*3 = 29 1*4 = 62*4 = 133*4 = 224*4 = 33 1*5 = 72*5 = 153*5 = 254*5 = 37 1*6 = 82*6 = 173*6 = 284*6 = 41 1*7 = 92*7 = 193*7 = 314*7 = 45 1*8 = 102*8 = 213*8 = 344*8 = 49 Add together … x by 1 st … +1

8. 8 45 ÷ 6 : Easy! 45 sweets are to be shared between 6 pupils. How many sweets will each pupil receive & how many will be left over? 7 sweets each with 3 left over How many games of rounders, each lasting 6 minutes, can be played during a 45 minute P.E. lesson? 7

9. 9 45 ÷ 6 : Still Easy A relay team do a sponsored run of 45 miles. There are 6 athletes in the team. How far must each of them run? 7 1 / 2 miles

10. 10 45 ÷ 6 : Still Easy! £45 is to be shared between 6 pupils. How much will each pupil receive? £7.50 A piece of string 45cm long is to be cut into 6 equal pieces. What will be the length of each piece? 7.5 cm

11. 11 45 ÷ 6 : Still Easy? 45 pupils are going on a school trip. Each minibus can carry 6 pupils. How many minibuses are needed? 8 minibuses

12. 12 “We learnt that 5 apples plus 2 apples makes 7 apples today.” “Well done – so what’s 5 bananas plus 2 bananas?” “I dunno – we haven’t done bananas yet.”

13. 13 Language of Maths + sum of plus add more than and total

14. 14 Language of Maths - less than minus take away subtract difference between

15. 15 Language of Maths x multiply times product lots of sets of each

16. 16 Language of Maths  divide share split between groups of

17. 17 Language of Maths = equals same as will be totals makes gives

18. 18 ½4 4x 41

19. 19 Number sentences 6 + 3 = 9 15 +  = 20 (2 x 20) + (2 x 8) = 2 x 28 12 – 3 + 7 – 9 = 28  4 ð  1/3ð  1/3 1.5 <  < 2.5 What language would you use to describe these number sentences?

20. 20 Forbidden Words

21. 21 Upside-down Triangle?

22. 22 Understanding Questions If the exchange rate is 1 Australian dollar for 37.02p, how much money would Amanda get for the A$48.65 she brought to England with her? How might you rephrase this question to make it easier to understand?

23. 23 Definitions face mean negative root

24. 24 translate plane point reflex right axes net property cancel table fair solution round unit