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Formal Written Calculation Methods

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miranda-kinney
16 diapositives · 410 Views · Nov 11, 2014

Formal Written Calculation Methods. +. ÷. X. Expanded Column Addition. Complementary Addition. Grid Method 1. Partitioning. Compact Column Addition. Decomposition. Grid Method 2. Chunking. Compact Column (with decimals). Decomposition (with decimals). Grid Method (with decimals).

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Formal Written Calculation Methods
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  1. Formal Written Calculation Methods + ÷ X Expanded Column Addition Complementary Addition Grid Method 1 Partitioning Compact Column Addition Decomposition Grid Method 2 Chunking Compact Column (with decimals) Decomposition (with decimals) Grid Method (with decimals) Short Division Expanded Method Short Division (with decimals) Column Method Cedar Road Primary School

  2. Expanded Column Addition 32 + 24 = 685 + 43 = 56 728 3 2 6 8 5 2 4 4 3 + + 6 8 1 2 0 5 0 6 0 0 5 6 7 2 8 Menu Weston Favell CEVA Primary School

  3. Compact Column Addition 32 + 24 = 685 + 43 = 56 728 3 2 6 8 5 2 4 4 3 + + 5 6 7 2 8 1 Menu Weston Favell CEVA Primary School

  4. Compact Column Addition (with decimals) 685.21 + 43.87 = 729.08 6 8 5 2 1 8 7 4 3 + 7 2 9 0 8 1 1 Menu Weston Favell CEVA Primary School

  5. Complementary Addition 755 - 87 = 668 7 5 5 To make 755 8 7 Count up from 87 - 3 (to make 90) 1 0 (to make 100) + 6 0 0 (to make 700) 5 5 (to make 755) 6 6 8 Menu Weston Favell CEVA Primary School

  6. Decomposition 372 - 47 = 372 - 87 = 325 285 16 2 6 12 6 12 3 7 2 3 7 2 4 7 8 7 - - 3 2 5 2 8 5 Menu Weston Favell CEVA Primary School

  7. Decomposition (with decimals) £9.42 - £6.78 = £2.64 13 8 3 12 £ 9 4 2 7 8 £ 6 - £ 2 6 4 Menu Weston Favell CEVA Primary School

  8. Grid Method 23 x 7 = 161 1 4 0 20 3 x 2 1 + 7 140 21 1 6 1 Menu Weston Favell CEVA Primary School

  9. Grid Method 362 x 24 = 8688 300 60 2 x 7240 20 40 6000 1200 + + = 1448 1200 240 8 4 + + + = 8 6 8 8 Menu Weston Favell CEVA Primary School

  10. Grid Method (with decimals) 36.5 x 73 = 2664.5 30 6 0.5 x 2555 70 35 2100 420 + + = 109.5 90 18 1.5 3 + + + = 2 6 6 4 .5 Menu Weston Favell CEVA Primary School

  11. Expanded Method 56 x 27 = 1512 5 6 0 0 2 7 x 1 0 0 0 50 x 20 = 1000 1 2 0 6 x 20 = 120 + 3 5 0 50 x 7 = 350 4 2 6 x 7 = 42 1 5 1 2 1 Menu Weston Favell CEVA Primary School

  12. Column Method 362 x 24 = 8688 3 6 2 2 0 4 x 2 1 4 2 4 8 + 2 7 6 2 4 0 + 1 8 6 8 8 Menu Weston Favell CEVA Primary School

  13. Partitioning 59 ÷ 4 = 14 r 3 ÷ 59 4 59 is partitioned into 40 (the highest multiple of 4 that is also a multiple of 10 and less than 59) + 19 40 + = 3 3 10 4 14 r r Menu Weston Favell CEVA Primary School

  14. Chunking 847 ÷ 7 = 121 8 4 7 7 0 0 ( 100 7 ) x - 1 4 7 1 4 0 ( 20 7 ) x - 7 7 ( 1 7 ) x + - 0 121 Menu Weston Favell CEVA Primary School

  15. Short Division 643 ÷ 7 = 84 ÷ 3 = 28 91 r6 0 9 1 6 2 8 r r r r 6 1 2 7 6 4 3 3 8 4 Menu Weston Favell CEVA Primary School

  16. Short Division (with decimals) 98 ÷ 8 = 87.5 ÷ 7 = 12.25 12.5 1 2 5 1 2 2 5 r r r r r 3 2 4 1 1 7 8 7 5 8 9 8 0 0 Menu Weston Favell CEVA Primary School