Sense of Number Visual Calculations Policy

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1 Sense of Number Visual Calculations Policy Basic Bespoke Edition for April 2014 by Dave Godfrey & Anthony Reddy For sole use within. A picture is worth 1000 words! Visual Calculations Policy Sense of Number 2013

2 Guide to using a Visual Calculations Policy The Sense of Number Visual Calculations Policy provides an visual representation of it s written and mental calculation policy. Typical uses: Classoom: The slides are printed out (e.g. A4) and the appropriate slides are displayed within each classroom for continual reference or on a working wall. Teacher Reference: The slides are printed out (e.g. 9 slides per A4 page) and inserted in the teacher s planning folder. Parents: The slides are used to communicate to parents the methods being taught and used within school. Website: Slides from the VCP are inserted on a schools maths webpages. (Please note: the VCP should not be made available for download) Visual Calculations Policy Sense of Number 2013

3 KC1: Key Concepts! Addition Subtraction = = 6 What is 8 add 2? Answer: 10 What is 8 take away 2? Answer: 6 The difference between 8 and 2 is 6 Visual Calculations Policy Sense of Number 2013

4 KC2: Key Concepts! Multiplication Division 8 x 2 = = 4 8 multiplied by 2 means 8, 2 times or 2 lots of 8 8 divided by 2 means How many 2s are there in 8? Answer: 4 ( 8 shared into 2 sets is 4 ) Visual Calculations Policy Sense of Number 2013

5 Calculation Vocabulary equivalent to equals is the same as balance Addition Multiplication Operations Subtraction Division Visual Calculations Policy Sense of Number 2013

6 1 Can I do this in my head? Visual Calculations Policy Sense of Number 2013

7 2 Do I need to use a drawing or a jotting? Visual Calculations Policy Sense of Number 2013

8 3 Do I need an expanded or a standard method? Visual Calculations Policy Sense of Number 2013

9 4 Do I need a calculator? Visual Calculations Policy Sense of Number 2013

10 Addition Vocabulary increase add total more plus addition count on sum altogether Visual Calculations Policy Sense of Number 2013

11 Addition Calculation = 6 (add) (equals) addend sum addend Visual Calculations Policy Sense of Number 2013

12 A1: Objects & Pictures If I have 3 and then 5 more, how many altogether? Answer: 8 Visual Calculations Policy Sense of Number 2013

13 A2: Counting On = 8 Visual Calculations Policy Sense of Number 2013

14 A3: Forwards Jump = Visual Calculations Policy Sense of Number 2013

15 A4: Partitioning = = = 7 67 Visual Calculations Policy Sense of Number 2013

16 A5: Partition Jot = Visual Calculations Policy Sense of Number 2013

17 A6: Expanded Column H T U Addition Visual Calculations Policy Sense of Number 2013

18 A7: Column Addition H T U Visual Calculations Policy Sense of Number 2013

19 MA1: Partitioning = = 73 Visual Calculations Policy Sense of Number 2013

20 MA2: Counting On = Visual Calculations Policy Sense of Number 2013

21 MA3: Number Bonds = = 140 Visual Calculations Policy Sense of Number 2013

22 MA4: Double & Adjust = = 91 Visual Calculations Policy Sense of Number 2013

23 MA5: Round & Adjust = = 64 Visual Calculations Policy Sense of Number 2013

24 Subtraction Vocabulary take away less minus subtract count back fewer difference between Visual Calculations Policy Sense of Number 2013

25 Subtraction Calculation 6-2 = 4 (subtract) (equals) minuend difference subtrahend Visual Calculations Policy Sense of Number 2013

26 S1: Objects 7-3 = 4 What do I get if I take 3 away from 7? Answer: 4 Visual Calculations Policy Sense of Number 2013

27 S2: What s the Difference? 7-5 = 2 How many more is 7 than 5? What is the difference? Visual Calculations Policy Sense of Number 2013

28 S3: Counting Back = 68 Visual Calculations Policy Sense of Number 2013

29 S4: Counting On = 6 How many more is 12 than 9? What is the difference? Visual Calculations Policy Sense of Number 2013

30 S5: Partitioning (40 and 3) = = = 32 Visual Calculations Policy Sense of Number 2013

31 S6: Expanded Subtraction = 367 H T U Visual Calculations Policy Sense of Number 2013

32 S7: Column Subtraction H T U Visual Calculations Policy Sense of Number 2013

33 Multiplication Vocabulary groups of product multiple times double lots of multiply repeated addition Visual Calculations Policy Sense of Number 2013

34 Multiplication Calculation 4 x 2 = 8 (multiplied by) (equals) multiplicand product multiplier Visual Calculations Policy Sense of Number 2013

35 M1: Repeated Addition (Groups) 5 x 3 = = 15 5 multiplied by 3 means 5, 3 times, which gives 3 lots of 5! Visual Calculations Policy Sense of Number 2013

36 M2: Repeated Addition (Number Line) x 3 = = 21 5 times 3 means 5, 3 times! Visual Calculations Policy Sense of Number 2013

37 M3: Arrays 3 x 5 = 15 or 5 x 3 = 15 Visual Calculations Policy Sense of Number 2013

38 M4: Multiplication Jump! 10x5 5x x 5 = x 5 = 50 5 x 5 = Visual Calculations Policy Sense of Number 2013

39 M5: Grid Method 15 x 5 = 75 x Short Multiplication = 75 Visual Calculations Policy Sense of Number 2013

40 M6: Expanded Column H T U 1 47 x Visual Calculations Policy Sense of Number 2013

41 M7: Column Multiplication H T U 1 47 x Visual Calculations Policy Sense of Number 2013

42 M8: Long Multiplication Column Th H T U 43 x (5 x 43) (60 x 43) 2795 Visual Calculations Policy Sense of Number 2013

43 MM1: Jump! Th H T U x x Visual Calculations Policy Sense of Number 2013

44 Division Vocabulary remainder halve group share divisor factor quotient equal groups of divide Visual Calculations Policy Sense of Number 2013

45 Division Calculation 8 2 = 4 (divided by) (equals) dividend quotient divisor Visual Calculations Policy Sense of Number 2013

46 D1: Sharing (Concept) If I share 6 into 2 equal amounts, how many in each group? Answer: 3 Visual Calculations Policy Sense of Number 2013

47 D2: Grouping (Concept) How many groups of 2 can I make out of 6? Answer: 3 Visual Calculations Policy Sense of Number 2013

48 D3: Division as Sharing 12 2 = 6 If I share 12 into 2 equal amounts, how many in each group? Answer: 6 Visual Calculations Policy Sense of Number 2013

49 D4: Division as Grouping 12 2 = 6 How many groups of 2 can I fit in 12? Answer: 6 Visual Calculations Policy Sense of Number 2013

50 D5: Grouping on a Number Line = 4 How many 5s in 20? Answer: 4 Visual Calculations Policy Sense of Number 2013

51 D7: Chunking Jump 4 x 10 4 x = 18 How many 4s in 72? Answer: 18 Visual Calculations Policy Sense of Number 2013

52 D8: Short Division = Visual Calculations Policy Sense of Number 2013

53 D9: Long Division 26 r = 26r21 Visual Calculations Policy Sense of Number 2013

54 Sense of Number Visual Calculations Policy Full Training Edition 2014 by Dave Godfrey, Anthony Reddy and Laurence Hicks The following pages contain a snapshot of the 235 slide, Sense of Number Full Training Edition of the VCP. It contains a Counting Policy, leveled progression of strategies found in the Basic Edition and additional Subtraction & Multiplication Mental Method slides. This edition is also available for bespoke preparation at additional cost of 80. Visual Calculations Policy Sense of Number 2013

55 Sample Edition ( Sample Edition ( School Logo Sample Edition Primary School Sample Edition Primary School Visual Calculations Policy Sense of Number 2013

56 Sample Edition ( Sample Edition ( School Logo Sample Edition Primary School Sample Edition Primary School Visual Calculations Policy Sense of Number 2013

57 Sample Edition ( Sample Edition ( School Logo Sample Edition Primary School Sample Edition Primary School Visual Calculations Policy Sense of Number 2013

58 Sample Edition ( Sample Edition ( School Logo Sample Edition Primary School Sample Edition Primary School Visual Calculations Policy Sense of Number 2013

59 Sample Edition ( Sample Edition ( School Logo Sample Edition Primary School Sample Edition Primary School Visual Calculations Policy Sense of Number 2013

60 Sample Edition ( Sample Edition ( School Logo Sample Edition Primary School Sample Edition Primary School Visual Calculations Policy Sense of Number 2013

61 Sample Edition ( Sample Edition ( School Logo Sample Edition Primary School Sample Edition Primary School Visual Calculations Policy Sense of Number 2013

62 Sample Edition ( Sample Edition ( School Logo Sample Edition Primary School Sample Edition Primary School Visual Calculations Policy Sense of Number 2013

63 Sample Edition ( Sample Edition ( School Logo Sample Edition Primary School Sample Edition Primary School Visual Calculations Policy Sense of Number 2013

64 Sample Edition ( Sample Edition ( School Logo Sample Edition Primary School Sample Edition Primary School Visual Calculations Policy Sense of Number 2013

65 Sample Edition ( Sample Edition ( School Logo Sample Edition Primary School Sample Edition Primary School Visual Calculations Policy Sense of Number 2013

66 Sample Edition ( Sample Edition ( School Logo Sample Edition Primary School Sample Edition Primary School Visual Calculations Policy Sense of Number 2013

67 Sample Edition ( Sample Edition ( School Logo Sample Edition Primary School Sample Edition Primary School Visual Calculations Policy Sense of Number 2013

68 Sample Edition ( Sample Edition ( School Logo Sample Edition Primary School Sample Edition Primary School Visual Calculations Policy Sense of Number 2013

69 Sample Edition ( Sample Edition ( School Logo Sample Edition Primary School Sample Edition Primary School Visual Calculations Policy Sense of Number 2013

70 Sample Edition ( Sample Edition ( School Logo Sample Edition Primary School Sample Edition Primary School Visual Calculations Policy Sense of Number 2013

Sense of Number. Basic Edition for. October 2014. Graphic Design by Dave Godfrey Compiled by the Sense of Number Maths Team

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