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Hobletts Manor Junior School 9 th October 2012 Kathryn Boulder

Hobletts Manor Junior School 9 th October 2012 Kathryn Boulder. Calculation Workshop For Multiplication and Division. Calculation Strategy. All teachers follow calculation strategy Follows stages of learning Child must be secure in a stage before moving on to next stage

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Hobletts Manor Junior School 9 th October 2012 Kathryn Boulder

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  1. Hobletts Manor Junior School9th October 2012Kathryn Boulder Calculation Workshop For Multiplication and Division

  2. Calculation Strategy • All teachers follow calculation strategy • Follows stages of learning • Child must be secure in a stage before moving on to next stage • Same examples in handout

  3. Multiplication: Stage 1 - Arrays Example: 3 x 4 = 12 . . . or . . . . . . . . . . . . . . . . . . . . .

  4. Multiplication: Stage 2 – Repeated Addition Example: 3 x 4 = 12 3 + 3 + 3 + 3 = 12 OR 4 + 4 + 4 = 12

  5. Multiplication: Stage 3 – Partitioning Example: 23 x 6 = (20 + 3) x 6 = (20 x 6) + (3 x 6) = 120 + 18 = 138

  6. Multiplication: Stage 4 – Grid Method TU x U Example: 38 x 7 =

  7. Multiplication: Stage 7Grid Method TU x TU Example: 56 x 27 = Estimate: 60 x 30 = 1800

  8. Multiplication: Stage 10Grid Method HTU x TU Example: 286 x 29 = Estimate 300 x 30 = 9000

  9. Multiplication: Stage 13Grid Method TU x U.t Example: 28 x 2.9 = Estimate: 30 x 3 = 90

  10. Multiplication: Stage 5 Expanded Short Multiplication (Column Method TU x U) Example: 38 x 7 =

  11. Multiplication: Stage 8Expanded Column Method TU x TU Example: 56 x 27 = 1512 Estimate: 60 x 30 = 1800

  12. Multiplication: Stage 11Expanded Column Method HTU x TU Example: 286 x 29 = Estimate 300 x 30 = 9000 2

  13. Multiplication: Stage 14Expanded Column Method TU x U.t Example: 28 x 2.9 = Estimate: 30 x 3 = 90

  14. Multiplication: Stage 6Short Multiplication (Column Method TU x U) Example: 38 x 7 =

  15. Multiplication: Stage 9Column Method TU x TU Example: 56 x 27 = 1512 Estimate 60 x 30 = 1800

  16. Multiplication: Stage 12Column Method HTU x TU Example: 286 x 29 = Estimate: 300 x 30 = 9000

  17. Multiplication: Stage 15Column Method TU x U.t Example: 28 x 2.9 = Estimate: 30 x 3 = 90

  18. Division: Stage 1Sharing into groups with no remainders Example: 21 ÷ 3 = 7

  19. Division: Stage 2Sharing into groups with remainders Example: 23 ÷ 3 = 7r2

  20. Division: Stage 3Counting on steps of divisor on number line with no remainder Example: 21 ÷ 3 = 7 1 2 3 4 5 6 7 0 3 6 9 12 15 18 21

  21. Division: Stage 4Counting on steps of divisor on number line with remainders Example: 23 ÷ 3 = 7r2 1 2 3 4 5 6 7 +1 +1 0 3 6 9 12 15 18 21 22 23

  22. Division: Stage 5Chunking on a number line with no remainder Example: 52 ÷ 4 = 13 4 x 10 = 40 11 12 13 0 40 44 48 52

  23. Division: Stage 6Chunking on a number line with remainders Example: 53 ÷ 4 = 13r1 4 x 10 = 40 11 12 13 +1 0 40 44 48 52 53

  24. Division: Stage 7Expanded bus stop with chunking no remainder Example: 154 ÷ 7 = 22

  25. Division: Stage 8Expanded bus stop with chunking remainders Example: 157 ÷ 7 = 22r3

  26. Division: Stage 9Bus Stop for Short Division with no remainder Example: 154 ÷ 7 = 22

  27. Division: Stage 10Bus Stop for Short Division with remainders Example: 157 ÷ 7 = 22r3

  28. Division: Stage 11Bus Stop for Short Division with remainder expressed as a fraction Example: 157 ÷ 7 = 22r3 = 22 & 3/7

  29. Division: Stage 12Expanded bus stop with chunking for long division Example: 557 ÷ 13 = 42 r11 = 42 & 11/13

  30. Division: Stage 13Bus Stop for Short Division of decimal numbers with no remainders Example: 15.4 ÷ 7 = 2.2

  31. Division: Stage 14Bus Stop for Short Division of decimal numbers with remainders Example: 15.7 ÷ 7 = 2.24

  32. Any Questions?

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