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Low Ash Primary School – Calculations policy. Addition Strategies:. Year 1. Counting on in 1s. 7 + 6 = 13. 4. 5. 6. 7. 0. 1. 2. 3. 8. 9. 10. 11. 12. 13. 14. Year 2. Counting on – partitioning into 10s and 1s. + 10. + 2. 23 + 12 = 35. 23. 33. 35.
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Low Ash Primary School – Calculations policy Addition Strategies: Year 1 Counting on in 1s 7 + 6 = 13 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 Year 2 Counting on – partitioning into 10s and 1s + 10 + 2 23 + 12 = 35 23 33 35 Or 23 + 10 + 2 -> 23 + 10 = 33 then 33 + 2 = 35 Counting on – adding nearly numbers - add 9, 11 by adding 10 and adjusting by 1. + 10 35 + 9 = 44 -1 35 44 45 + 10 + 1 35 + 11 = 46 35 45 46 Year 3 As Year 2 but with larger numbers. Extend adding near multiples of 10 to a 2-digit number, e.g. 35 + 19. Pencil and paper procedures. 83 + 42 = 125 83 80 + 3 + 42 + 40 + 2 Or 5 120 + 5 = 125 120 125
Low Ash Primary School – Calculations policy Subtraction Strategies: Year 1 Counting on/back in 1s 8 – 5 = 3 Find the difference by counting on. 4 5 6 7 0 1 2 3 8 9 10 9 – 2 = 7 Count back. 4 5 6 7 0 1 2 3 8 9 10 Year 2 Counting on – finding a difference + 1 + 2 42 – 39 = 3 39 40 42 Subtracting nearly numbers – subtract a multiple of 10 then adjust. - 10 35 – 9 = 26 +1 25 26 35 Counting back – partitioning into 10s and 1s. - 3 - 10 24 – 13 = 11 11 24 14 Year 3 As Year 2 but with larger numbers. Extend subtracting near multiples of 10 to a 2-digit number, e.g. 35 - 19. Develop complementary addition (counting on).
Low Ash Primary School – Calculations policy Multiplication Strategies: Year 2 Arrays and repeated addition. 2 x 4 or 2 + 2 + 2 + 2 or 4 x 2 or 4 + 4 = 8 Or 0 1 2 3 4 5 6 7 8 Doubling – using partitioning. X 15 x 2 = 30 10 + 5 10 5 Or 2 20 10 X 2 = 30 20 + 10 = 30 Year 3 As Year 2 – use arrays and repeated addition and use known facts to carry out simple multiplications. X 32 x 3 = 96 30 2 3 = 96 90 6
Low Ash Primary School – Calculations policy Division Strategies: Year 2 Division as sharing and grouping. Grouping - There are 6 sweets. How many people can have 2 each? 1 2 3 6 – 2 = 3 : 0 2 4 6 Sharing – 6 sweets are shared between 2 people. How many do they each have? 6 – 2 = 3 : Year 3 As Year 2 – continue grouping and sharing – with larger numbers. Remainders. 1 2 3 4 5 16 – 3 = 5 r1 : 0 3 6 15 16 9 12