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Progression in Subtraction

Whitley Excellence Cluster

January 2014

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Subtraction – Reception ELG • Using objects take a single digit

away.5 and 1 less is ?

5 and 2 less is ?

7 and 1 less is ?

4

4,3

6

6 7

6 take away 2 is 4.

• To say which number is one less than a given number.

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Subtraction – Reception ELG

1 2 3 4 5 6 7 8 9 10

Count back one, two

Count back to find the answer

“Standing on eight and moving backwards two spaces”

5 - 2 =

8 - 2 =

1 2 3

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Subtraction Year 1

Repeat using a bead string

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Repeat using a number line

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Use a number track subtract a single digit number from 20

17 – 3 = 14

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Subtraction Year 1

Repeat using a bead string

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Repeat using a number line counting back 13

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Use a number track subtract a two digit number from 20

18 – 13 = 5

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Subtraction Year 1

Repeat using a number line. Highlight or place counters on the two numbers and count the jumps

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Use multilink to find the difference between two numbers

8 and 5

16 and 7

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Subtraction Year 1Missing numbers – using multilink

7 - = 5 7 = - 9

Use Numicon to overlap the corresponding numbers to find the difference

Missing numbers – Circles/ Mickey Mouse Ears

9

7 ?

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Subtraction Year 247 – 23 = Use empty number lines by counting back

37 38 39 40 41 42 43 44 45 46 47262524

Then helping children to become more efficient by subtracting the units in one jump -10

-10

-1 -1 -1

-10

-10

-3

47372724

Then helping children to become more efficient by subtracting the tens in one jump

-20

-3

472724

27 28 29 30 31 32 33 34 35 36

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Subtraction Year 2

Counting back in 10s then 1s on a number square and number line48 - 35 =

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

48

-30-5

1813

Using dienes equipment: 33 - 21 =

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Column subtraction – without exchange using tens and units

Subtraction Year 2 (last term)

74 – 23 =

70 + 4 20 + 3 50 + 1 = 51

Column subtraction – with exchange using tens and units

74 – 27 =

70 + 4 20 + 7

60 14

70 + 4 20 + 7 40 + 7 = 47

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Column subtraction (3 digit expanded)

– without exchange

Subtraction Year 3

767 – 341 =

700 + 60 + 7 300 + 40 + 1 400 + 20 + 6 = 426

Column subtraction – with exchange

974 – 627 =

900 + 70 + 4 600 + 20 + 7 300 + 40 + 7 = 347

60 14

587

-200-30

Counting back in 100s, 10s and 1s on a number line587 – 234 =

387357

-4

353