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Key ideas in the Numeracy Strategy

Key ideas in the Numeracy Strategy. Mental methods of calculation are stressed Standard written calculations are delayed until pupils have fundamental ideas about place value and have a repertoire of mental calculation strategies . How would you work out …. 23 + 24 = 45 + 46 =

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Key ideas in the Numeracy Strategy

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  1. Key ideas in the Numeracy Strategy • Mental methods of calculation are stressed • Standard written calculations are delayed until pupils have fundamental ideas about place value and have a repertoire of mental calculation strategies

  2. How would you work out …. 23 + 24 = 45 + 46 = 68 – 34 = 101 – 59 =

  3. Addition • At Key Stage 1 ‘sums’ are usually written horizontally • Number lines are often used to support informal methods and help build up imagery 24 + 58 =

  4. Addition continued… Children are introduced to ‘partitioning’ Early stage: 38 + 27 = 30 + 20 = 50 8 + 7 = 15 38 + 27 = 65 Then: 38 38 + 87+ 87 110 15 15110 125 125 Lastly: 236 +175 411 11

  5. Subtraction at KS1 • Children use practical objects to carry out ‘take away’ and ‘find the difference’ • Number lines and 100 squares provide important models Difference ITP Counting on and counting back 25 – 3 26 – 21 _______________ _______________

  6. Subtraction at KS2 Children are taught to subtract by finding the difference between the two numbers. This method involves counting on from the smaller to the larger number and is called ’complementary addition’ 85 – 57 _85 57 ____________________________ 3 (60) 25 (85) 28

  7. Subtraction with larger numbers 326 – 178 ______________________ 326 • 178 22 (200) 126 (326) 148

  8. Subtraction at KS2 • Finding the difference continues to be an important informal method • When children are ready, they are introduced to ‘decomposition’, which involves partitioning 245 – 123 = 200 40 5 - 100 20 3 100 20 2 763 – 248 50 13 700 60 3 - 200 40 8 500 10 5 Leading to: 6 2 15 735 -248 487

  9. Multiplication • Early work on multiplication involves images of groups and arrays: • Multiplication Facts ITP Next children use partitioning for calculations: 26 x 7 = 20 x 7 = 140 6 x 7 = 42 26 x 7 = 182

  10. Multiplication – the ‘grid method’7 x 23 = 161 • Multiplication grid

  11. Multiplication - continued Another method of recording is taught to children who are ready 534 468 x 6 x 52

  12. Division Early work on division involves sharing and grouping • Grouping Next children are encouraged to understand division as building up multiples (chunking) 84 ÷ 6 = _________________________________

  13. Division – the ‘chunking method’ 305 ÷ 7 = (estimate: 40 x 7= 280 so the answer is a bit more than 40) 305 - 280 (40 x 7) 25 - 21 ( 3 x 7) 4 305 ÷ 7 = 43 r 4

  14. Division continued Children who are ready, are taught another method of recording 267 ÷ 8 = ____ 8) 267

  15. In conclusion … • Children are always encouraged to think which is the most appropriate and efficient method for the numbers involved • Mental methods should be the first resort

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