1. + − ×÷ i Progression in Subtraction Whitley Excellence Cluster January 2014

2. + − ×÷ i 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.

3. + − ×÷ i Subtraction – Reception ELG 12345678910 Count back one, two Count back to find the answer “Standing on eight and moving backwards two spaces” 5 - 2 = 8 - 2 = 1 23

4. + − ×÷ i Subtraction Year 1 Repeat using a bead string 1234567891011121314151617181920 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

5. + − ×÷ i Subtraction Year 1 Repeat using a bead string 1234567891011121314151617181920 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

6. + − ×÷ i 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

7. + − ×÷ i Subtraction Year 1 Missing 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 ?

8. + − ×÷ i Subtraction Year 2 47 – 23 = Use empty number lines by counting back 37 38 39 40 41 42 43 44 45 46 47 26 25 24 Then helping children to become more efficient by subtracting the units in one jump -10 -10 -3 47 37 27 24 Then helping children to become more efficient by subtracting the tens in one jump -20 -3 47 2724 27 28 29 30 31 32 33 34 35 36

9. + − ×÷ i Subtraction Year 2 Counting back in 10s then 1s on a number square and number line 48 - 35 = 12345678910 11121314151617181920 21222324252627282930 31323334353637383940 41424344454647484950 51525354555657585960 61626364656667686970 71727374757677787980 81828384858687888990 919293949596979899100 48 -30 -5 1813 Using dienes equipment: 33 - 21 =

10. + − ×÷ i 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

11. + − ×÷ i 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 line 587 – 234 = 387 357 -4 353