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Times tables. Presentatie titel. Okahandja, October 2013. Rotterdam, 00 januari 2007. The concept of multiplication: counting-based repeated addition. Times tables. repeated addition. Times tables – repeated addition. The concept of multiplication: structuring-based multiplication.

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  1. Times tables Presentatie titel Okahandja, October 2013 Rotterdam, 00 januari 2007

  2. The concept of multiplication:counting-based repeated addition

  3. Times tables repeated addition

  4. Times tables – repeated addition

  5. The concept of multiplication:structuring-based multiplication

  6. Structuring-based multiplication

  7. Times tables – the strategies of structured multiplication Strategy: ‘one-times-more’ Strategy: ‘changing’

  8. Times tablesthe strategies of structured multiplication Strategy: ‘one-times-less’ Strategy: ‘doubling’

  9. Times tablesthe strategies of structured multiplication Strategy: ‘halving’

  10. The concept of multiplication:formal multiplication How to construct a times table by using the strategies? 1 x 7 known 2 x 7 double 7 + 7 or changing 3 x 7 one times more: 2 x 7 + 7 or changing 4 x 7 doubling 2 x 7: 14 + 14, or one times less 5 x 7 halving 10 x 7 or changing 6 x 7 one times more: 5 x 7 + 7 7 x 7 via 5 x 7 + 2 x 7 (distribution) 8 x 7 doubling 4 x 7: 28 + 28 or via 5 x 7 + 3 x 7 9 x 7 one times less: 10 x 7 – 7 10 x 7 known or ‘the zero rule’

  11. Formal multiplication;anchor points and strategies

  12. Formal multiplication;anchor points and strategies

  13. Teaching materials times tables • Step 1: repeated addition • Times tables containers, • Buttons, bottle tops, beans, …. all kind of counting materials • Step 2: structured multiplication • Tiles • Times table square • Step 3: formalmultiplication • Relationschemes

  14. Memorization • Say the times table and lay the tiles • Times table snakes • Times table memory games • Times table bingo • Relation schemes • Times tables ‘award’ • Exercises

  15. 1 Times tables containers 1 - 10 • 1 times • 2 times • 3 times • 4 times • 5 times • 6 times • 7 times • 8 times • 9 times • 10 times

  16. 1 Times tables containers 1 - 10 • Say the times table and lay the objects • Make drawings of 2 x 3, 5 x 4, 3 x 6, ……. • Make a ‘times tables exhibition’ in the classroom • Make your ‘times tables posters’

  17. 2 Buttons, bottletops, beans, strings, sticks, stones, all kind of counting materials

  18. 2 Buttons, bottletops, beans, strings, sticks, stones, all kind of counting materials • Make groups and say the times table • Make groups and write the times table • Make drawings of 2 x 3, 5 x 4, 3 x 6, …….

  19. 3 Tiles

  20. 3 Tiles • Lay the 2-times table in two columns, lay the 3-times table in two columns, ….. • Lay 5 times 4. Add one row of 4 tiles. How do you know 6 x 4 =? • Lay 5 times 6. Take away one row of 6 tiles. Which sum did you make? ….. • Take 12 tiles and make different ‘floors’. Write your calculations. • Take 13 tiles and make different ‘floors’. Write your calculations. • Take 20 tiles and make different ‘floors’. Write your calculations…… • Etc.,

  21. 4 Times tables memory game 2 x 5 6 x 8 4 x 3 3 x 4

  22. 4 Times tables memory game 2 x 5 10 12 48 6 x 8 4 x 3

  23. 5 Times table snakes 12/ 8 x 3 2 x 3 15/ 9 x 3 30/ 5 x 3 6 / 4 x 3 18/ 7 x 3 3/ 3 x 3 24/10 x 3 9 21/ 1 x 3 27/ 6 x 3

  24. 6 Relation sheets ….x 3 = …. ….x 3 = …. 1-time more 1-time less 4 x 3 = 12 ….x 3 = …. ….x 3 = …. doubling halving

  25. 7 Times table square

  26. 7 Times table square

  27. 7 Times table square • Lay the 4 times table with bottle tops, say and write the 4 times table. • Lay 10 bottle tops in different ways and write the sums. • Lay 24 bottle tops in different ways and write the sums. • Etc.,

  28. Make and collect the materials • Practise the materials yourself and discover the possibilities to teach mathematics in your class with these ‘easy to make’ teaching materials.

  29. How do you know the times tables? • Discussion • Excersises with teaching materials, multiplication problems, games (24-game) • Speedtest

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