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Calculation strategiesused at Barley Close

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Parental involvement in education is so

important. However, the way maths is

taught in schools is very different tothe way some of us were taught

whichmakes it hard to help our children!

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Key Stage 1The principal focus of mathematics teaching in key stage 1 is to ensure that pupils develop confidence and mental fluency with whole numbers, counting and place value.

This should involve working with numerals, words and the four operations, including with practical resources.

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Lower Key Stage 2The principal focus of mathematics teaching in lower key stage 2 is to ensure that pupils become increasingly fluent with whole numbers and the four operations, including number facts and the concept of place value. This should ensure that pupils develop efficient written and mental methods and perform calculations accurately with increasingly large whole numbers.

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Upper Key Stage 2The principal focus of mathematics teaching in upper key stage 2 is to ensure that pupils

extend their understanding of the number system and place value to include larger

integers. This should develop the connections that pupils make between multiplication and

division with fractions, decimals, percentages and ratio.

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Key StrandsNumber – place value, addition and subtraction, multiplication and division, fractions (decimals from year 4, percentages from year 5)

Measurement

Geometry – shapes, position and direction

Year 2 upwards – Statistics

Ratio and proportion and algebra – Year 6

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Addition

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0011 0010 1010 1101 0001 0100 1011Physical objects

For the first stage of addition children

will use real objects to support theirworking out. They will then use number lines.

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45 + 23

Adding the tens in one jump and the units in another jump.

counting on in tens and adding the units in one jump

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0011 0010 1010 1101 0001 0100 1011The 100 Square

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

25 + 18 – Jumping down to +10

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0011 0010 1010 1101 0001 0100 1011Partitioning:

42 + 35 40 +30 = 70 2+ 5 = 770 + 7 = 77

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Column addition – it is important children know what each digit

means 4 2+1 7 9 5 0 5 9

  4 2+3 5 7 7 

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0011 0010 1010 1101 0001 0100 1011Stage Three: 

4 7 +9 5

1 4 2 1 1

Task: Use column addition to find 76 + 47

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0011 0010 1010 1101 0001 0100 1011Subtraction

Children will explore and developways of recording using objects andpictures for support.

“Mr Shepherd looks after 8 sheep. He has lost 5 sheep. He has 3 left.”

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0011 0010 1010 1101 0001 0100 1011Number lines with marked divisions...

25-8

Working towards using an empty number line...

•Counting backwards•Arrows go underneath

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0011 0010 1010 1101 0001 0100 1011100 square

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0011 0010 1010 1101 0001 0100 1011Partitioning

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0011 0010 1010 1101 0001 0100 1011Column subtraction

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0011 0010 1010 1101 0001 0100 1011MultiplicationChildren will experience equal groups of objects andwill start to count in 2s, 10s and 5s.

By the end of year 4, pupils should have memorisedtheir Multiplication tables up to and including the 12 Multiplication table and show

precision and fluency in their work.

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0011 0010 1010 1101 0001 0100 1011Arrays

3 x 55 x 3

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0011 0010 1010 1101 0001 0100 1011Number line

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0011 0010 1010 1101 0001 0100 1011Partitioning 42 x 5

40 x 5 = 2002 x 5 = 10

200 + 10 = 210

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0011 0010 1010 1101 0001 0100 1011Short multiplication

Use this method to find 14 x 6

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0011 0010 1010 1101 0001 0100 1011Long Multiplication

Year 6

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0011 0010 1010 1101 0001 0100 1011DivisionChildren will experience equal groups and share items in

play andproblem solving.

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0011 0010 1010 1101 0001 0100 1011Grouping – how many groups of 3 Can I make with 18?

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0011 0010 1010 1101 0001 0100 1011Progressing to larger numbers...Progressing to using known facts...

Year 6

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0011 0010 1010 1101 0001 0100 1011Now, grab a coffee and we will take you to your classes in a few minutes.

Have fun!