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Progression in Teaching Multiplication and Division

Progression in Teaching Multiplication and Division. (NNS recommendations). I have grouped my counters into threes!. Prior Experience Required. Before children are introduced to multiplication and division they should: Be able to count securely

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Progression in Teaching Multiplication and Division

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  1. Progression in Teaching Multiplication and Division (NNS recommendations)

  2. I have grouped my counters into threes! Prior Experience Required • Before children are introduced to multiplication and division they should: • Be able to count securely • Understand basic addition and subtraction • Be able to form groupings Two add three makes five! I can count to one hundred. Listen to me. . . 1, 2, 3 , 4 . . .99, 100!!!

  3. Altogether I have 123, 456, 789, 1011 12 counters! Stage 1: Mental Counting and Counting Objects(Years 2 and 3) Let’s all count in multiples of two. Are you ready? Two, four, six . . .

  4. Stage 2: Early mental calculations and learning number facts with recording. (Years 2 and 3) Gemma W 2 x 6 = 12 6 x 2 = 12 12 ÷ 2 = 6 12 ÷ 6 = 2 What is six times 2? 12 Yes, that’s right!

  5. Stage 3: Working with larger numbers and informal jottings (Years 2, 3 and 4) 24 x 8. Let’s see that’s . . . 20 x 8 which is 2 x 8 x 10 . . . 160. 4 x 8 is 32. So 24 x 8 is 160 + 32 which is 60 + 32 + 100 which is 192! 24 x 8 . Let’s see. . . 6 x 8 = 48 so double 6 gives 12 x 8, so that’s 96. Then double 12 is 24 so double 96. Double 100 is 200 take away double 4 which is 8 gives 192!

  6. Stage 4: Non-standard expanded written methods begin in Year 4, first with whole numbers. Grid method for 38 x 7 Expanded vertical recording 38 x 7 210 (30 x 7) 56 (8 x 7) 266

  7. 458 ÷3 by chunking 203 x 57 10150 1421 11571 458 - 300 (100 x 3) 158 - 150 (50 x 3) 8 6 (2 x 3) 2 Answer 152 rem 2 152 rem 2 3 4158 Compact short multiplication 23.75 x 3 71.25 Stage 5: Standard written methods for whole numbers then for decimals (beginning in Year 4 and extending through to Year 6.) • 28 • 432 • 300 • 132 • 120 • 12 • Answer 28 rem 12 Compact long multiplication Compact short multiplication of decimals Compact long multiplication

  8. Stage 6: Use of calculators (beginning in Year 5) We’ve measured the playground and it is 23.75 metres long and 18.55 metres wide. What is the area of the playground? It is 23.75 metres times 18.55 metres. I’ve worked it out on my calculator. It’s 440.56 square metres to the nearest centimetre!

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