Addition ( practical) 1 more than … 1 elephant went out to play …. EYFS 1 elephant went out to play …. 1 potato, 2 potato ... Counting forwards 0 1 2 3 4 5 6 7 8 9 10 How many apples? How many oranges? How many altogether? 1 more than …

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

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 2 + 6 = 8 (same as 6 + 2) 2 1 3 4 5 6 7 8

Addition (blank numberlines) Stage 3 38 + 23 = 61 At first… Click here for video clip 3a +10 +10 +1 +1 +1 38 48 58 59 60 61 38 + 23 = 61 Then… Click here for video clip 3b +20 +3 38 58 61

Addition (partitioning) Stage 4 Addition (partitioning) 45 + 23 = 345 + 132 = 40 + 5 300 + 40 + 5 20 + 3 100 + 30 + 2 60 + 8 400 + 70 + 7 68 477   Click here for video clip 4a Click here for video clip 4b Click here for video clip 4c

Addition (compact method) Stage 5 Addition (compact method) 147 + 73 = 366 + 458 = 58 + 23 = 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

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 10 9 8 7 6 5 4 3 2 1 0 1 less than ……

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? 7 - 3 = 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

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 5 + = 9 4 9 - 5 = 4 2 1 3 4 5 6 7 8 9 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. 65 - 57 = 8 3+5=8 +3 +5 57 60 65 2+10+9 = 21 +10 +9 48 60 69 +2 50 69 – 48 = 21 Click here for video clip 3b

Subtraction (partitioning) Stage 4 Subtraction (partitioning) 74 – 27 = 47 758 - 367 = 391 70 + 4 -20 + 7   40 + 7 700 + 50 +8 -300 + 60 +7   300 + 90 + 1 60 14 600 150 Click here for video clip 4

Subtraction (compact method) Stage 5 Subtraction (compact method) 7 8 4 3 0 4 2 0 3 9 - 5 7 - 1 3 8 - 1 8 4 5 7 2 7 1 6 6 1 9 4 7 2 9 1 9 1 1 1 Click here for video clip 5a Click here for video clip 5b

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

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 2 + 2 + 2 + 2 = 8 4 lots of 2 are 8 4 x 2 = 8 2 4 6 8

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

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

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 + 54 3 1 14 9 2700 360 54 Click here for video clip 4b 4 0.9 12 + 2.7 14.7 3 x 4.9 = 14. 7 3 12 2.7

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

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

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

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

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

Division (chunking on blank numberline) Stage 4 104 ÷ 8 = 13 10 +1 +1 +1 =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 10+2+2+1= 15 1x7 2x7 10 x 7 70 84 98 105 r1 7 14 14 Click here for video clip 4b

Division (chunking) 325 ÷ 12 = 27 r1 325 (20 x 12) 240 - 85 Stage 5 325 ÷ 12 = 27 r1 325 (20 x 12) 240 - 85 ( 5 x 12) 60- 25 (2 x 12) 24 - 27 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