1. Filey Junior School 1 Helping Your Child With Maths Filey Junior School

2. 2 Introduction Following the introduction of the National Numeracy Strategy, a range of written calculation methods have been used. The cluster of schools that feed Filey School have agreed a common policy.

3. Filey Junior School 3Overview The Numeracy Strategy aims to strengthen mental calculations, with written calculations supporting thinking. Instant recall of facts and sound understanding is crucial. KIRFs (Key Instant Recall Facts) are to be learnt throughout the year. Say the numbers in order to 10. Know all number bonds to 10. Know multiplicatio n and division facts for 10x table. Know multiplicatio n and division facts for 2x and 4x table. Know all 2- digit pairs that total 100 Know the doubles and halves of all two-digit numbers Know doubles and halves of 2- digit decimals. Know the prime numbers within 50

4. Filey Junior School 4 Essential Skills Addition and subtraction facts to 20 e.g. 7 + 8 = 15 (and8 + 7 = 15 15 – 8 = 7 15 – 7 = 8)

5. Filey Junior School 5 Number bonds to 100 Knowing what to add to any number to total 100. This also helps with decimal work and dealing with money. E.g. what do you add to 47 to total 100?

6. Filey Junior School 6 Essential Skills Multiplication tables (including division facts) e.g.7 x 9 = 63 (so:9 x 7 = 63 63 ÷ 7 = 9 63 ÷ 9 = 7)

7. Filey Junior School 7 Essential Skills Partitioning to help Place Value e.g. knowing 3,045 is 3000 and 40 and 5. Doubling and Halving Using partitioning helps: e.g. Half of 25 is half of 20 and half of 5 = 10 + 2 ½ = 12 ½

8. Filey Junior School 8 Essential Skills Multiplying and Dividing by 10 and 100 This is explained as the digits moving a number of places to the left or right, not by putting zeros on the end of numbers. e.g. 1.25 x 10 =12.5

9. Filey Junior School 9 Essential Skills Rounding numbers Rounding helps when estimating. e.g. Estimate 42 x 17 42 rounds to 40 (to the nearest ten) 17 rounds to 20 (to the nearest ten) So 40 x 20 = 800 (the estimate)

10. Some Useful Websites www.mathletics.co.uk www.sumdog.com www.teachingtables.co.uk www.teachingtime.co.uk www.teachingmeasures.co.uk www.teachingmoney.co.uk www.teachingfractions.co.uk http://www.bbc.co.uk/schools/ks2bitesize/maths/ http://www.mathszone.co.uk/ http://www.ictgames.com/resources.html (For less able) http://www.ictgames.com/resources.html

11. Filey Junior School 11 Written Calculations

12. Filey Junior School 12Addition The relationship between addition and subtraction is emphasised. Much work is done on mental addition, adding on tens and ones with number lines supporting calculations. E.g.counting on in multiples of 100, 10 or 1 86 + 57 = 86 + 50 + 7 = 136 + 7 = 143 50 +4 +3 86136 140143

13. Filey Junior School 13 Addition continued… Mental calculations begin by dealing with the most significant digit first. Addition by partitioning: 67 + 24 = 80 Estimate: 70 + 20 = 90

14. Filey Junior School 14 Addition continued… Mental calculations begin by dealing with the most significant digit first. Addition by partitioning: 67 + 24 = 80 Estimate: 70 + 20 = 90

15. Filey Junior School 15 Addition continued… Mental calculations begin by dealing with the most significant digit first. Addition by partitioning: 67 + 24 = 80 + 11 Estimate: 70 + 20 = 90

16. Filey Junior School 16 Addition continued… Mental calculations begin by dealing with the most significant digit first. Addition by partitioning: 67 + 24 = 80 + 11 Estimate: 70 + 20 = 90 = 91

17. Filey Junior School 17 Addition continued 358 + 73 Estimate: 360 + 70= 430

18. Filey Junior School 18 Addition continued 358 + 73 Estimate: 360 + 70= 430 = 300

19. Filey Junior School 19 Addition continued 358 + 73 Estimate: 360 + 70= 430 = 300 + 120

20. Filey Junior School 20 Addition continued 358 + 73 Estimate: 360 + 70= 430 = 300 + 120 + 11

21. Filey Junior School 21 Addition continued 358 + 73 Estimate: 360 + 70= 430 = 300 + 120 + 11 = 431 Note: This is still written horizontally until it is done with a good understanding of place value. Then the children may be taught traditional ‘carrying’ methods.

22. Filey Junior School 22 Addition continued Extends to numbers with at least four digits. 3587 + 675 Est: 3600 + 700 = 4300

23. Filey Junior School 23 Addition continued Extends to numbers with at least four digits. 3587 + 675 Est: 3600 + 700 = 4300 = 3000

24. Filey Junior School 24 Addition continued Extends to numbers with at least four digits. 3587 + 675 Est: 3600 + 700 = 4300 = 3000 + 1100

25. Filey Junior School 25 Addition continued Extends to numbers with at least four digits. 3587 + 675 Est: 3600 + 700 = 4300 = 3000 + 1100 + 150

26. Filey Junior School 26 Addition continued Extends to numbers with at least four digits. 3587 + 675 Est: 3600 + 700 = 4300 = 3000 + 1100 + 150 + 12

27. Filey Junior School 27 Addition continued Extends to numbers with at least four digits. 3587 + 675 Est: 3600 + 700 = 4300 = 3000 + 1100 + 150 + 12 = 4262

28. Filey Junior School 28 Addition continued Extends to numbers with at least four digits. 3587 + 675 Est: 3600 + 700 = 4300 = 3000 + 1100 + 150 + 12 = 4262

29. Filey Junior School 29 Addition continued Extends to numbers with at least four digits. 3587 + 675 Est: 3600 + 700 = 4300 = 3000 + 1100 + 150 + 12 = 4262

30. Filey Junior School 30 Addition continued Extends to numbers with at least four digits. 3587 + 675 Est: 3600 + 700 = 4300 = 3000 + 1100 + 150 + 12 = 4262

31. Filey Junior School 31 Addition continued Extend to numbers with any number of digits and decimals with 1 and 2 decimal places. 124.9 + 117.25 Est: 120 + 120 = 240

32. Filey Junior School 32 Addition continued Extend to numbers with any number of digits and decimals with 1 and 2 decimal places. 124.9 + 117.25 Est: 120 + 120 = 240 = 200

33. Filey Junior School 33 Addition continued Extend to numbers with any number of digits and decimals with 1 and 2 decimal places. 124.9 + 117.25 Est: 120 + 120 = 240 = 200 + 30

34. Filey Junior School 34 Addition continued Extend to numbers with any number of digits and decimals with 1 and 2 decimal places. 124.9 + 117.25 Est: 120 + 120 = 240 = 200 + 30 + 11

35. Filey Junior School 35 Addition continued Extend to numbers with any number of digits and decimals with 1 and 2 decimal places. 124.9 + 117.25 Est: 120 + 120 = 240 = 200 + 30 + 11 + 1.1

36. Filey Junior School 36 Addition continued Extend to numbers with any number of digits and decimals with 1 and 2 decimal places. 124.9 + 117.25 Est: 120 + 120 = 240 = 200 + 30 + 11 + 1.1 + 0.05

37. Filey Junior School 37 Addition continued Extend to numbers with any number of digits and decimals with 1 and 2 decimal places. 124.9 + 117.25 Est: 120 + 120 = 240 = 200 + 30 + 11 + 1.1 + 0.05 = 242.15 Again, children can work vertically when secure with place value.

38. Filey Junior School 38 Your turn… Try these: 139 + 211 872 +167 868 +649

39. Filey Junior School 39 Addition solutions 139 + 211 = 300 + 40 + 10 = 350 872 +167 = 900 + 130 + 9 = 1039 868 +649 = 1400 + 100 + 17 = 1517

40. Filey Junior School 40Subtraction Reinforcing the addition / subtraction relationship, pupils use number lines to ‘count on’ from the smaller to the larger number to find the difference. E.g. 84 – 56(Est: 80 – 60 = 20) 5684

41. Filey Junior School 41Subtraction Reinforcing the addition / subtraction relationship, pupils use number lines to ‘count on’ from the smaller to the larger number to find the difference. E.g. 84 – 56(Est: 80 – 60 = 20) 566084

42. Filey Junior School 42Subtraction Reinforcing the addition / subtraction relationship, pupils use number lines to ‘count on’ from the smaller to the larger number to find the difference. E.g. 84 – 56(Est: 80 – 60 = 20) +4 566084

43. Filey Junior School 43Subtraction Reinforcing the addition / subtraction relationship, pupils use number lines to ‘count on’ from the smaller to the larger number to find the difference. E.g. 84 – 56(Est: 80 – 60 = 20) +4 56608084

44. Filey Junior School 44Subtraction Reinforcing the addition / subtraction relationship, pupils use number lines to ‘count on’ from the smaller to the larger number to find the difference. E.g. 84 – 56(Est: 80 – 60 = 20) +4 +20 56608084

45. Filey Junior School 45Subtraction Reinforcing the addition / subtraction relationship, pupils use number lines to ‘count on’ from the smaller to the larger number to find the difference. E.g. 84 – 56(Est: 80 – 60 = 20) +4 +20 +4 56608084

46. Filey Junior School 46Subtraction Reinforcing the addition / subtraction relationship, pupils use number lines to ‘count on’ from the smaller to the larger number to find the difference. E.g. 84 – 56(Est: 80 – 60 = 20) +4 +20 +4= 28 56608084

47. Filey Junior School 47 Subtraction continued Continuing with number lines… E.g. 754 – 86: Est: 750 – 90 = 660 86 754

48. Filey Junior School 48 Subtraction continued Continuing with number lines… E.g. 754 – 86: Est: 750 – 90 = 660 86100 754

49. Filey Junior School 49 Subtraction continued Continuing with number lines… E.g. 754 – 86: Est: 750 – 90 = 660 +14 86100 754

50. Filey Junior School 50 Subtraction continued Continuing with number lines… E.g. 754 – 86: Est: 750 – 90 = 660 +14 86100 700754

51. Filey Junior School 51 Subtraction continued Continuing with number lines… E.g. 754 – 86: Est: 750 – 90 = 660 +14+600 86100 700754

52. Filey Junior School 52 Subtraction continued Continuing with number lines… E.g. 754 – 86: Est: 750 – 90 = 660 +14+600 +54 86100 700754

53. Filey Junior School 53 Subtraction continued Continuing with number lines… E.g. 754 – 86: Est: 750 – 90 = 660 +14+600 +54= 668 86100 700754

54. Filey Junior School 54 Subtraction Continued… Also subtract numbers with a different number of digits. e.g. 4567 – 893Estimate: 4600 – 900 = 3700 893 4567

55. Filey Junior School 55 Subtraction Continued… Also subtract numbers with a different number of digits. e.g. 4567 – 893Estimate: 4600 – 900 = 3700 893 900 4567

56. Filey Junior School 56 Subtraction Continued… Also subtract numbers with a different number of digits. e.g. 4567 – 893Estimate: 4600 – 900 = 3700 +7 893 900 4567

57. Filey Junior School 57 Subtraction Continued… Also subtract numbers with a different number of digits. e.g. 4567 – 893Estimate: 4600 – 900 = 3700 +7 893 900 1000 4567

58. Filey Junior School 58 Subtraction Continued… Also subtract numbers with a different number of digits. e.g. 4567 – 893Estimate: 4600 – 900 = 3700 +7 +100 893 900 1000 4567

59. Filey Junior School 59 Subtraction Continued… Also subtract numbers with a different number of digits. e.g. 4567 – 893Estimate: 4600 – 900 = 3700 +7 +100 +3567 893 900 1000 4567

60. Filey Junior School 60 Subtraction Continued… Also subtract numbers with a different number of digits. e.g. 4567 – 893Estimate: 4600 – 900 = 3700 +7 +100 +3567= 3674 893 900 1000 4567

61. Filey Junior School 61 Decimal Subtraction Number lines are great for decimals… £8.95 - £4.38Est: £9.00 - £4.40 = £4.60 £4.38 £8.95

62. Filey Junior School 62 Decimal Subtraction Number lines are great for decimals… £8.95 - £4.38Est: £9.00 - £4.40 = £4.60 £4.38£8.38 £8.95

63. Filey Junior School 63 Decimal Subtraction Number lines are great for decimals… £8.95 - £4.38Est: £9.00 - £4.40 = £4.60 +£4.00 £4.38£8.38 £8.95

64. Filey Junior School 64 Decimal Subtraction Number lines are great for decimals… £8.95 - £4.38Est: £9.00 - £4.40 = £4.60 +£4.00 £4.38£8.38 £8.40 £8.95

65. Filey Junior School 65 Decimal Subtraction Number lines are great for decimals… £8.95 - £4.38Est: £9.00 - £4.40 = £4.60 +£4.00 +£0.02 £4.38£8.38 £8.40 £8.95

66. Filey Junior School 66 Decimal Subtraction Number lines are great for decimals… £8.95 - £4.38Est: £9.00 - £4.40 = £4.60 +£4.00 +£0.02 +£0.55 £4.38£8.38 £8.40 £8.95

67. Filey Junior School 67 Decimal Subtraction Number lines are great for decimals… £8.95 - £4.38Est: £9.00 - £4.40 = £4.60 +£4.00 +£0.02 +£0.55 = £4.57 £4.38£8.38 £8.40 £8.95 (N.B. In this case we did not go to £5.00 first as we could count up from.38 to.95 without crossing the £ barrier.)

68. Filey Junior School 68 Have a go… 251 - 182 429 - 255 783 - 649

69. Filey Junior School 69 How did you do? 251 -182 = 69 429 – 255 = 174 18 51 45 129 182200251 255300429 783 – 649 = 134 4 30 100 649653683783 Remember: you may not have chosen the same jumps as these, but your answers should be the same!

70. Filey Junior School 70Multiplication Again, the relationship between multiplication and division is stressed. Multiplication is explained as repeated addition. The 2, 5, 10 x tables are reinforced and work is begun on at least the 3 and 4 x tables. Work is done on arrays to teach that multiplication can be done in any order. E.g: Division questions should be frequently posed when learning tables! 8 ÷ 4 = ? 8 ÷ 2 = ?

71. Filey Junior School 71 Multiplication continued Continuing with partitioning and mental arithmetic, we introduce the grid method of multiplication…

72. Filey Junior School 72 Multiplication continued: TU x U 23 x 8 20 3 8

73. Filey Junior School 73 Multiplication continued: TU x U 23 x 8 Estimate: 20 x 8 = 160 20 3 8

74. Filey Junior School 74 Multiplication continued: TU x U 23 x 8 Estimate: 20 x 8 = 160 20 3 8 16

75. Filey Junior School 75 Multiplication continued: TU x U 23 x 8 Estimate: 20 x 8 = 160 20 3 8 160

76. Filey Junior School 76 Multiplication continued: TU x U 23 x 8 Estimate: 20 x 8 = 160 20 3 8 16024

77. Filey Junior School 77 Multiplication continued: TU x U 23 x 8 Estimate: 20 x 8 = 160 20 3= 100 8 16024

78. Filey Junior School 78 Multiplication continued: TU x U 23 x 8 Estimate: 20 x 8 = 160 20 3= 100 + 80 8 1601602424

79. Filey Junior School 79 Multiplication continued: TU x U 23 x 8 Estimate: 20 x 8 = 160 20 3= 100 + 80 + 4 8 1602424

80. Filey Junior School 80 Multiplication continued: TU x U 23 x 8 Estimate: 20 x 8 = 160 20 3= 100 + 80 + 4 8 = 184 Compare with the estimate! 16024

81. Filey Junior School 81 Multiplication continued: TU x TU 72 x 38 70 2 30 8

82. Filey Junior School 82 Multiplication continued: TU x TU 72 x 38Estimate: 70 x 40 = 2800 70 2 30 8

83. Filey Junior School 83 Multiplication continued: TU x TU 72 x 38Estimate: 70 x 40 = 2800 70 2 30 8 21

84. Filey Junior School 84 Multiplication continued: TU x TU 72 x 38Estimate: 70 x 40 = 2800 70 2 30 8 2100

85. Filey Junior School 85 Multiplication continued: TU x TU 72 x 38Estimate: 70 x 40 = 2800 70 2 30 8 21006

86. Filey Junior School 86 Multiplication continued: TU x TU 72 x 38Estimate: 70 x 40 = 2800 70 2 30 8 21006060

87. Filey Junior School 87 Multiplication continued: TU x TU 72 x 38Estimate: 70 x 40 = 2800 70 2 30 8 210060 56

88. Filey Junior School 88 Multiplication continued: TU x TU 72 x 38Estimate: 70 x 40 = 2800 70 2 30 8 210060 560

89. Filey Junior School 89 Multiplication continued: TU x TU 72 x 38Estimate: 70 x 40 = 2800 70 2 30 8 210060 56016

90. Filey Junior School 90 Multiplication continued: TU x TU 72 x 38Estimate: 70 x 40 = 2800 70 2 302000 8 210060 56016

91. Filey Junior School 91 Multiplication continued: TU x TU 72 x 38Estimate: 70 x 40 = 2800 70 2 302000 + 600 8 210060 56016

92. Filey Junior School 92 Multiplication continued: TU x TU 72 x 38Estimate: 70 x 40 = 2800 70 2 302000 + 600 + 130 8 210060 5601616

93. Filey Junior School 93 Multiplication continued: TU x TU 72 x 38Estimate: 70 x 40 = 2800 70 2 302000 + 600 + 130 + 6 8 210060 5601616

94. Filey Junior School 94 Multiplication continued: TU x TU 72 x 38Estimate: 70 x 40 = 2800 70 2 302000 + 600 + 130 + 6 8= 2736 210060 56016

95. Filey Junior School 95 Multiplication continued: TU x TU 72 x 38Estimate: 70 x 40 = 2800 70 2 302000 + 600 + 130 + 6 8= 2736 210060 56016

96. Filey Junior School 96 Multiplication continued: TU x TU 72 x 38Estimate: 70 x 40 = 2800 70 2 302000 + 600 + 130 + 6 8= 2736 210060 56016

97. Filey Junior School 97 Multiplication continued: TU x TU 72 x 38Estimate: 70 x 40 = 2800 70 2 302000 + 600 + 130 + 6 8= 2736 210060 56016

98. Filey Junior School 98 Multiplication continued: TU x TU 72 x 38Estimate: 70 x 40 = 2800 70 2 302000 + 600 + 130 + 6 8= 2736 Compare with the estimate! 210060 56016

99. Filey Junior School 99 Multiplication continued On to ThHTU x U and HTU x TU… 4346 x 8(Est: 4000 x 8 = 32000) X 4000 300 40 6 8

100. Filey Junior School 100 Multiplication continued On to ThHTU x U and HTU x TU… 4346 x 8(Est: 4000 x 8 = 32000) X 4000 300 40 6 8 32

101. Filey Junior School 101 Multiplication continued On to ThHTU x U and HTU x TU… 4346 x 8 (Est: 4000 x 8 = 32000) X 4000 300 40 6 8 32000

102. Filey Junior School 102 Multiplication continued On to ThHTU x U and HTU x TU… 4346 x 8 (Est: 4000 x 8 = 32000) X 4000 300 40 6 8 3200024

103. Filey Junior School 103 Multiplication continued On to ThHTU x U and HTU x TU… 4346 x 8 (Est: 4000 x 8 = 32000) X 4000 300 40 6 8 320002400

104. Filey Junior School 104 Multiplication continued On to ThHTU x U and HTU x TU… 4346 x 8 (Est: 4000 x 8 = 32000) X 4000 300 40 6 8 32000240032

105. Filey Junior School 105 Multiplication continued On to ThHTU x U and HTU x TU… 4346 x 8 (Est: 4000 x 8 = 32000) X 4000 300 40 6 8 320002400320

106. Filey Junior School 106 Multiplication continued On to ThHTU x U and HTU x TU… 4346 x 8 (Est: 4000 x 8 = 32000) X 4000 300 40 6 8 32000240032048

107. Filey Junior School 107 Multiplication continued On to ThHTU x U and HTU x TU… 4346 x 8 (Est: 4000 x 8 = 32000) X 4000 300 40 6 8 = 30000 32000240032048

108. Filey Junior School 108 Multiplication continued On to ThHTU x U and HTU x TU… 4346 x 8 (Est: 4000 x 8 = 32000) X 4000 300 40 6 8 = 30000 + 4000 32000240032048

109. Filey Junior School 109 Multiplication continued On to ThHTU x U and HTU x TU… 4346 x 8 (Est: 4000 x 8 = 32000) X 4000 300 40 6 8 = 30000 + 4000 + 700 32000240032048

110. Filey Junior School 110 Multiplication continued On to ThHTU x U and HTU x TU… 4346 x 8 (Est: 4000 x 8 = 32000) X 4000 300 40 6 8 = 30000 + 4000 + 700 + 60 3200024003203204848

111. Filey Junior School 111 Multiplication continued On to ThHTU x U and HTU x TU… 4346 x 8 (Est: 4000 x 8 = 32000) X 4000 300 40 6 8 = 30000 + 4000 + 700 + 60 + 8 3200024003204848

112. Filey Junior School 112 Multiplication continued On to ThHTU x U and HTU x TU… 4346 x 8 (Est: 4000 x 8 = 32000) X 4000 300 40 6 8 = 30000 + 4000 + 700 + 60 + 8 = 34768 3200024003204848

113. Filey Junior School 113 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20 4

114. Filey Junior School 114 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20 4

115. Filey Junior School 115 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20 4 6

116. Filey Junior School 116 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20 4 6000

117. Filey Junior School 117 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20 4 600014

118. Filey Junior School 118 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20 4 60001400

119. Filey Junior School 119 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20 4 600014004

120. Filey Junior School 120 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20 4 600014004040

121. Filey Junior School 121 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20 4 6000140040 12

122. Filey Junior School 122 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20 4 6000140040 1200

123. Filey Junior School 123 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20 4 6000140040 120028

124. Filey Junior School 124 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20 4 6000140040 1200280

125. Filey Junior School 125 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20 4 6000140040 12002808

126. Filey Junior School 126 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20= 8000 4 6000140040 12002808

127. Filey Junior School 127 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20= 8000 + 800 4 6000140040 12002808

128. Filey Junior School 128 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20= 8000 + 800 + 120 4 6000140040 12002808

129. Filey Junior School 129 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20= 8000 + 800 + 120 + 8 4 6000140040 12002808

130. Filey Junior School 130 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20= 8000 + 800 + 120 + 8 = 8928 4 6000140040 12002808

131. Filey Junior School 131 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20= 8000 + 800 + 120 + 8 = 8928 4 6000140040 12002808

132. Filey Junior School 132 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20= 8000 + 800 + 120 + 8 = 8928 4 6000140040 12002808

133. Filey Junior School 133 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20= 8000 + 800 + 120 + 8 = 8928 4 6000140040 12002808

134. Filey Junior School 134 Multiplication continued On to ThHTU x U and HTU x TU… 372 x 24Estimate: 400 x 25 = 10000 x 300 70 2 20= 8000 + 800 + 120 + 8 = 8928 4 Compare with estimate 6000140040 12002808

135. Filey Junior School 135 Your go! 18 x 2547 x 36 10 840 7 20 30 56

136. Filey Junior School 136 18 x 2547 x 36 10 840 7 20 30 5 6 300 + 150 = 450 1000 + 600 + 90 + 2 = 1692 200160 50 40 1200210 240 42Answers…

137. Filey Junior School 137 Decimal Multiplication This can be done using the grid method or multiply so they are whole numbers, then divide by the same number of places afterwards. e.g. 4.92 x 3

138. Filey Junior School 138 Decimal Multiplication This can be done using the grid method or multiply so they are whole numbers, then divide by the same number of places afterwards. e.g. 4.92 x 3Est:5 x 3 = 15

139. Filey Junior School 139 Decimal Multiplication This can be done using the grid method or multiply so they are whole numbers, then divide by the same number of places afterwards. e.g. 4.92 x 3Est:5 x 3 = 15 4.92 x 100 = 492

140. Filey Junior School 140 Decimal Multiplication This can be done using the grid method or multiply so they are whole numbers, then divide by the same number of places afterwards. e.g. 4.92 x 3Est:5 x 3 = 15 4.92 x 100 = 492 Use the grid method to find that 492 x 3 = 1476, then divide by 100 to get 14.76.

141. Filey Junior School 141Division Division is the inverse of multiplication and is taught as repeated subtraction (grouping) and as sharing equally. Work is also begun on remainders.

142. Filey Junior School 142 Division Number lines are used and work is also begun on remainders. e.g. 16 ÷ 3 = 0 16

143. Filey Junior School 143 Division Number lines are used and work is also begun on remainders. e.g. 16 ÷ 3 = 3 0 16

144. Filey Junior School 144 Division Number lines are used and work is also begun on remainders. e.g. 16 ÷ 3 = 3 0 3 16

145. Filey Junior School 145 Division Number lines are used and work is also begun on remainders. e.g. 16 ÷ 3 = 3 3 0 3 16

146. Filey Junior School 146 Division Number lines are used and work is also begun on remainders. e.g. 16 ÷ 3 = 3 3 0 36 16

147. Filey Junior School 147 Division Number lines are used and work is also begun on remainders. e.g. 16 ÷ 3 = 3 3 3 0 36 16

148. Filey Junior School 148 Division Number lines are used and work is also begun on remainders. e.g. 16 ÷ 3 = 3 3 3 0 36 9 16

149. Filey Junior School 149 Division Number lines are used and work is also begun on remainders. e.g. 16 ÷ 3 = 3 3 3 3 0 36 9 16

150. Filey Junior School 150 Division Number lines are used and work is also begun on remainders. e.g. 16 ÷ 3 = 3 3 3 3 0 36 9 12 16

151. Filey Junior School 151 Division Number lines are used and work is also begun on remainders. e.g. 16 ÷ 3 = 3 3 3 3 3 0 36 9 12 16

152. Filey Junior School 152 Division Number lines are used and work is also begun on remainders. e.g. 16 ÷ 3 = 3 3 3 3 3 0 36 9 12 1516

153. Filey Junior School 153 Division Number lines are used and work is also begun on remainders. e.g. 16 ÷ 3 = 3 3 3 3 3r1 0 36 9 12 1516

154. Filey Junior School 154 Division Number lines are used and work is also begun on remainders. e.g. 16 ÷ 3 = 5 r1 3 3 3 3 3r1 0 36 9 12 1516

155. Filey Junior School 155 Division continued TU ÷ U Using the number line method, we can divide by building up multiples, or ‘chunks’ of the divisor. Encourage your child to build up known facts to find a chunk that is close to the number that you are dividing. e.g. 41 ÷ 4 = Known fact: 10 x 4 = 40 0 41

156. Filey Junior School 156 Division continued TU ÷ U Using the number line method, we can divide by building up multiples, or ‘chunks’ of the divisor. Encourage your child to build up known facts to find a chunk that is close to the number that you are dividing. e.g. 41 ÷ 4 = Known fact: 10 x 4 = 40 10 x 40 0 41

157. Filey Junior School 157 Division continued TU ÷ U Using the number line method, we can divide by building up multiples, or ‘chunks’ of the divisor. Encourage your child to build up known facts to find a chunk that is close to the number that you are dividing. e.g. 41 ÷ 4 = Known fact: 10 x 4 = 40 10 x 40 0 40 41

158. Filey Junior School 158 Division continued TU ÷ U Using the number line method, we can divide by building up multiples, or ‘chunks’ of the divisor. Encourage your child to build up known facts to find a chunk that is close to the number that you are dividing. e.g. 41 ÷ 4 = 10 x 40 r1 0 40 41

159. Filey Junior School 159 Division continued TU ÷ U Using the number line method, we can divide by building up multiples, or ‘chunks’ of the divisor. Encourage your child to build up known facts to find a chunk that is close to the number that you are dividing. e.g. 41 ÷ 4 = 10 r 1 10 x 40 r1 0 40 41

160. Filey Junior School 160 Division continued TU ÷ U e.g. 72 ÷ 5 Known facts: 10 x 5 = 50 and 20 x 5 = 100 So 72 = 50 + 22 remaining 0 72

161. Filey Junior School 161 Division continued TU ÷ U e.g. 72 ÷ 5 Known facts: 10 x 5 = 50 and 20 x 5 = 100 So 72 = 50 + 22 remaining 10 x 50 0 72

162. Filey Junior School 162 Division continued TU ÷ U e.g. 72 ÷ 5 Known facts: 10 x 5 = 50 and 20 x 5 = 100 So 72 = 50 + 22 remaining 10 x 50 0 50 72

163. Filey Junior School 163 Division continued TU ÷ U e.g. 72 ÷ 5 Known facts: 10 x 5 = 50 and 20 x 5 = 100 So 72 = 50 + 22 remaining 10 x 4 x 50 20 0 50 72

164. Filey Junior School 164 Division continued TU ÷ U e.g. 72 ÷ 5 Known facts: 10 x 5 = 50 and 20 x 5 = 100 So 72 = 50 + 22 remaining 10 x 4 x 50 20 0 50 70 72

165. Filey Junior School 165 Division continued TU ÷ U e.g. 72 ÷ 5 Known facts: 10 x 5 = 50 and 20 x 5 = 100 So 72 = 50 + 22 remaining 10 x 4 x 50 20 r2 0 50 70 72

166. Filey Junior School 166 Division continued TU ÷ U e.g. 72 ÷ 5 Known facts: 10 x 5 = 50 and 20 x 5 = 100 So 72 = 50 + 22 remaining 10 x 4 x = 14 r2 50 20 r2 0 50 70 72

167. Filey Junior School 167 Division continued HTU ÷ U e.g. 256 ÷ 7 Known Facts: 10 x 7 = 70 20 x 7 = 140 30 x 7 = 210 0 256

168. Filey Junior School 168 Division continued HTU ÷ U e.g. 256 ÷ 7 Known Facts: 10 x 7 = 70 20 x 7 = 140 30 x 7 = 210, 30 x 210 0 256

169. Filey Junior School 169 Division continued HTU ÷ U e.g. 256 ÷ 7 Known Facts: 10 x 7 = 70 20 x 7 = 140 30 x 7 = 210, 30 x 46 remaining 210 0 210 256

170. Filey Junior School 170 Division continued HTU ÷ U e.g. 256 ÷ 7 Known Facts: 10 x 7 = 70 20 x 7 = 140 30 x 7 = 210, 30 x 6 x 21042 0 210 256

171. Filey Junior School 171 Division continued HTU ÷ U e.g. 256 ÷ 7 Known Facts: 10 x 7 = 70 20 x 7 = 140 30 x 7 = 210, 30 x 6 x 21042 0 210 252 256

172. Filey Junior School 172 Division continued HTU ÷ U e.g. 256 ÷ 7 Known Facts: 10 x 7 = 70 20 x 7 = 140 30 x 7 = 210, 30 x 6 x 21042r4 0 210 252 256

173. Filey Junior School 173 Division continued HTU ÷ U e.g. 256 ÷ 7 Known Facts: 10 x 7 = 70 20 x 7 = 140 30 x 7 = 210, 30 x 6 x = 36 r4 21042r4 0 210 252 256

174. Filey Junior School 174 Division continued HTU ÷ U e.g. 676 ÷ 8 Known Facts: 10 x 8 = 80 (nowhere near 676) 0 676

175. Filey Junior School 175 Division continued HTU ÷ U e.g. 676 ÷ 8 Known Facts: 10 x 8 = 80 (nowhere near 676) 100 x 8 = 800 (too big, so halve) 0 676

176. Filey Junior School 176 Division continued HTU ÷ U e.g. 676 ÷ 8 Known Facts: 10 x 8 = 80 (nowhere near 676) 100 x 8 = 800 (too big, so halve) 50 x 8 = 400 276 remaining 50 x 400 0400 676

177. Filey Junior School 177 Division continued HTU ÷ U e.g. 676 ÷ 8 Known Facts: 10 x 8 = 80 (nowhere near 676) 100 x 8 = 800 (too big, so halve) 50 x 8 = 400 2nd step: 25 x 8 = 200 76 remaining 50 x 25 x 400 200 0400 600 676

178. Filey Junior School 178 Division continued HTU ÷ U e.g. 676 ÷ 8 Known Facts: 10 x 8 = 80 (nowhere near 676) 100 x 8 = 800 (too big, so halve) 50 x 8 = 400 2nd step: 25 x 8 = 200 3 rd step: 9 x 8 = 72 50 x 25 x 400 200 0400 600 676

179. Filey Junior School 179 Division continued HTU ÷ U e.g. 676 ÷ 8 Known Facts: 10 x 8 = 80 (nowhere near 676) 100 x 8 = 800 (too big, so halve) 50 x 8 = 400 2nd step: 25 x 8 = 200 3 rd step: 9 x 8 = 72 50 x 25 x 9 x 400 20072 r4 0400 600 672 676

180. Filey Junior School 180 Division continued HTU ÷ U e.g. 676 ÷ 8 Known Facts: 10 x 8 = 80 (nowhere near 676) 100 x 8 = 800 (too big, so halve) 50 x 8 = 400 2nd step: 25 x 8 = 200 3 rd step: 9 x 8 = 72 50 x 25 x 9 x = 84 r4 400 20072 r4 0400 600 672 676

181. Filey Junior School 181 Division continued HTU ÷ U e.g. 977 ÷ 36 Known Facts:10 x 36 = 360 20 x 36 = 720 257 remaining 20 x 720 0720 977

182. Filey Junior School 182 Division continued HTU ÷ U e.g. 977 ÷ 36 Known Facts:10 x 36 = 360 20 x 36 = 720 5 x 36 = 180 77 remaining 20 x 5 x 720 180 0720 900 977

183. Filey Junior School 183 Division continued HTU ÷ U e.g. 977 ÷ 36 Known Facts:10 x 36 = 360 20 x 36 = 720 5 x 36 = 180 20 x 5 x 2 x 720 18072 r5 0720 900 972 977

184. Filey Junior School 184 Division continued HTU ÷ U e.g. 977 ÷ 36 Known Facts:10 x 36 = 360 20 x 36 = 720 5 x 36 = 180 20 x 5 x 2 x = 27 r5 720 18072 r5 0720 900 972 977

185. Filey Junior School 185 Nearly finished! 57 ÷ 4 250 ÷ 8473 ÷ 12

186. Filey Junior School 186 The Final Answers… 10x 4x 40 16 r1 0405657= 14 r 1 30x 1x 240 8 r2 = 31 r 2 0 240248250 30x 5x 4x = 39 r 5 360 60 48 r5 0 360 420468473

187. Filey Junior School 187 Thank you for helping!