1. Addition ( practical) 1 more than … 1 elephant went out to play ….
EYFS
1 elephant went out to play ….
1 potato,
2 potato ...
Counting forwards
How many apples?
How many oranges?
How many altogether?
1 more than …

2. Addition ( practical) and makes 5 3 2 Make 6 3 and 3 4 and 2 6 and 0
Stage 1
and
makes 5
Click here for video clip 1a 3 2
Click here for video clip 1b
Make 6
Click here for video clip 1c
Click here for video clip 1d
3 and 3
4 and 2
6 and 0
5 and 1

3. Addition ( printed numberlines)
Stage 2
Addition ( printed numberlines)
4 + 3 = 7 2 1 3 4 5 6 7 8
Click here for video clip 2
= (same as 6 + 2) 2 1 3 4 5 6 7 8

4. Addition (blank numberlines)
Stage 3
= 61
At first…
Click here for video clip 3a
+10
+10 +1 +1 +1 38 48 58 59 60 61
= 61
Then…
Click here for video clip 3b
+20 +3 38 58 61

5. Addition (partitioning)
Stage 4
Addition (partitioning) = =
Click here for video clip 4a
Click here for video clip 4b
Click here for video clip 4c

6. Addition (compact method)
Stage 5
Addition (compact method) = = = 58
+ 23 81 1
147
+ 73
220
1 1
366
+ 458
824
1 1
Click here for video clip 5a
Click here for video clip 5b
Click here for video clip 5c

7. Subtraction (practical)
EYFS
5 little speckled frogs…
10 green bottles...
10 fat sausages sizzling in pan…
5 little men in a flying saucer…
Counting backwards
1 less than ……

8. Subtraction (practical)
Stage 1
3 counters take away 2 leaves 1.
Sam has 7 sweets.
He eats 3 of them.
How many does he have left?
= 4
THE LARGER NUMBER HAS TO GO FIRST
Click here for video clip 1c
Click here for video clip 1a
Click here for video clip 1b

9. Subtraction (printed numberlines)
Stage 2
Click here for video clip 2a
COUNT BACKWARDS
10 – 6 = 4 2 1 3 4 5 6 7 8 9 10
COUNT ON TO FIND THE DIFFERENCE
Click here for video clip 2b
= 9 4
= 4 2 1 3 4 5 6 7 8 9 10

10. Subtraction (blank numberline)
Stage 3
For taking away small amounts COUNT BACKWARDS.
Click here for video clip 3a -1 56 57 67
-10
67 – 11 = 56
For taking away large amounts COUNT ON from small number to large.
= 8
3+5=8 +3 +5 57 60 65
= 21
+10 +9 48 60 69 +2 50
69 – 48 = 21
Click here for video clip 3b

11. Subtraction (partitioning)
Stage 4
Subtraction (partitioning)
74 – 27 = 47
= 391
70 + 4     60 14
600
150
Click here for video clip 4

12. Subtraction (compact method)
Stage 5
Subtraction (compact method) 7 2 9 1 9 1 1 1
Click here for video clip 5a
Click here for video clip 5b

13. Multiplication (practical)
EYFS
Counting in 2s 2 4 6 8 10
Counting in 10s 10 20 30 40

14. Multiplication 4 + 4 = 8 2 lots of 4 are 8 2 x 4 = 8 2 + 2 + 2 + 2 = 8
Stage 1
Multiplication
4 + 4 = 8
2 lots of 4 are 8
2 x 4 = 8
Click here for video clip 1
= 8
4 lots of 2 are 8
4 x 2 = 8 2 4 6 8

15. Multiplication 6 x 8 = 48 4 x 8 = 32 8 x 4 = 32 Stage 2 +8 +8 +8 +8 +88 16 24 32 40 48
4 x 8 = 32
Click here for video clip 2
8 x 4 = 32

16. Multiplication (partitioning)
Stage 3
4 x 13 = 52 10 3 40 12 4
= 52
Click here for video clip 3a
Click here for video clip 3b

17. Multiplication (grid method)
Stage 4
300
120 30
+ 12
462
14 x 33 = 462 10 4 30 3
100 30
120 12
Click here for video clip 4a
300 40 6
9 x 346 = 3114
2700
360
3 1 14 9
2700
360 54
Click here for video clip 4b 4
0.9 12
14.7
3 x 4.9 = 14. 7 3 12
2.7

18. Multiplication (compact method)
Stage 5
326
X 71
22820
23146 1 4
274
X 92
548
24660
25208
Click here for video clip 5 1 6 3 1 1

19. Division (practical) Sharing 6 cakes between 2 people. EYFS
One for you..
One for me..

20. Division (practical) 12 ÷ 3 = 4 12 ÷ 3 = 4 Stage 1
Sharing 12 cakes between 3 people is 4 each
12 ÷ 3 = 4
Click here for video clip 1a
Grouping 12 cakes into groups of 3 gives 4 sets.
12 ÷ 3 = 4
Click here for video clip 1b

21. Division (printed/blank numberlines)
Stage 2
10 ÷ 2 = 5
Click here for video clip 2a 2 1 3 4 5 6 7 8 9 10
20 ÷ 5 = 4
Click here for video clip 2b +5 +5 +5 +5 5 10 15 20

22. Division (blank numberline chunking 2s 5s 10s)
Stage 3
45 ÷ 5 = 9
9 x 5 20 30 40 45
2x5
1x5 10
Click here for video clip 3
15 x 5
75 ÷ 5 = 15
10 x 5
2 x 5
2 x 5
1 x 5 50 60 70 75

23. Division (chunking on blank numberline)
Stage 4
104 ÷ 8 = 13
=13
1x8
10 x 8 80 88 96
104 8 8 8
Click here for video clip 4a
TIP
X 10 FIRST IF YOU CAN
106 ÷ 7 = 15 r1
= 15
1x7
2x7
10 x 7 70 84 98
105 r1 7 14 14
Click here for video clip 4b

24. Division (chunking) 325 ÷ 12 = 27 r1 325 (20 x 12) 240 - 85
Stage 5
325 ÷ 12 = 27 r1
325
( x ) 85
( x ) 25
( x ) r1
What do I know already?
10 x 12 = 120
20 x 12 = 240
5 x 12 = 60
2 x 12 = 24
Choose a large ‘best fit’ chunk to start off with.
Click here for video clip 5