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Presentatie titel

This presentation provides teaching materials and strategies for helping learners count and structure countable materials, with a focus on calculation up to 20. It includes number lines, number snakes, number bonds of 10, 10-beads strings, 10-frames, 20-beads strings, and 20-frames, as well as various strategies for addition and subtraction. The presentation also offers exercises and games to practice these skills.

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Presentatie titel

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  1. Calculation up to 20 Presentatie titel Okahandja, June 2014 Rotterdam, 00 januari 2007

  2. Teaching materials - Learners know all kinds of countable materials. - Counting goes faster, if learners are structuring these materials - Structuring is the base for calculation!!

  3. What materials will provoke to think in structures? 1 Number line 1 - 20

  4. Number line 1 - 20 • Orientation in the number range 1 – 20 • 5- and 10-structure • Counting in one’s, counting in fives • Even and odd numbers • Neighbours • Addition by counting on • Subtraction by counting back • Strategies: counting on, counting back

  5. Teaching materials 2 Number snake 1 - 20

  6. Number snake 1 - 20 • Orientation in the number range 1 – 20 • 5- and 10-structure • Counting in one’s • Even and odd numbers • Neighbours • Number game with a die • Addition by counting on • Subtraction by counting back • Strategies: counting on, counting back

  7. Teaching materials 3 ‘Numbers in love’, ‘Friends of 10

  8. Numbers in love • Number bonds of 10 • Complementing to 10

  9. Teaching materials4 10-beads string with 5-structure

  10. 10-beads string with 5-structure • Orientation in the number range 1 – 10 • 5-structure • Counting in one’s • Addition by counting on • Subtraction by counting back • Calculating ‘via 5’ • Reading the answer without counting • Strategies: counting on, counting back, ‘via 5’

  11. Teaching materials 5 10-frame

  12. 10-frame • Orientation in the number range 1 – 10 • 5-structure • Doubles structure, halves structure • Counting in one’s • Addition by counting on • Subtraction by counting back • Calculating ‘via 5’ • Reading the answer without counting • Strategies: counting on, counting back, ‘via 5’

  13. Teaching materials 6 20-beads string with 5-structure

  14. 20-beads string with 5- and 10-structure • Orientation in the number range 1 – 20 • 5-structure and10-structure • Counting in one’s, counting in fives • Addition by counting on • Subtraction by counting back • Calculating ‘via 5’, calculating ‘via 10’ • Reading the answer without counting • Strategies: counting on, counting back, ‘via 5’, ‘via 10’

  15. Teaching materials 7 20-frame

  16. 20-frame • Orientation in the number range 1 - 10, 1 – 20 • 5-structure and 10-structure • Doubles structure, halves structure • Counting in one’s, counting in fives • Addition by counting on • Subtraction by counting back • Calculating ‘via 5’, calculating ‘via 10’ • Calculating ‘with fives’, ‘with doubles’ and ‘with halves’ • Reading the answer without counting • Strategies: counting on, counting back, ‘via 5’, ‘via 10’, ‘with fives, doubles and halves’

  17. Strategies Materials with 5-structure: 10-frame, 10-beads string Splitting by 5 4 + 3 = 4 + 1 + 2 = 5 + 2 = 7 5-problems 5 + 3 , 2 + 5

  18. StrategiesMaterials with 5- and 10-structure:Beads string & Friends of 10 • Splittingby 10 ‘via 10’ 7 + 5 = 7 + 3 + 2 = 10 + 2 = 12

  19. StrategiesMaterials with 5- and 10-structure:20-frame Nearlydoubles 7 + 6 = 6 + 1 + 6 = 12 + 1 = 13 Doubles 4 + 4 = 8 6 + 6 = 12, 7 + 7 = 14 Via 10 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14 Splitting in fives 6 + 7 = 5 + 1 + 5 + 2 = 10 + 3 = 13

  20. StrategiesMaterials with 5- and 10-structure:20-frame Nearly halves 14 - 8 = 14 - 7 - 1 = 7 – 1 = 6 14 – 6 = 14 – 7 + 1 = 7 + 1 = 8 Halves 8 - 4 = 4 12 - 6 = 6, 14 - 7 = 7 Via 10 15 – 7 = 15 – 5 – 2= 10 - 2 = 8

  21. Summery of the strategies Basics: • One more - 3 + 1 • Two more - 3 + 2 • Doubles - 3 + 3 • Friends of 10 - 3 + 7 • Splitting by 5 - 4 + 3 • Via ten - 8 + 5 (based on the skill of counting in one´s and two´s)

  22. Summery of the strategies Basics: • One less – 8 - 1 • Two less – 8 - 2 • Halves – 8 - 4 • Splitting by 5 – 7 - 4 • Via 10 – 13 - 5 (based on the skill of counting in one´s and two´s)

  23. Possibilities for exercise by playing games • Make 15 • Guess my number • Make 10 (4 dices)

  24. 15-game • Rules of the game: • Take a turn to a number, • Choosefrom the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9. • Each number can be chosen only once! • Do you have three numbers which together have 15? • You are the winner!

  25. Various exercises calculation up to 20(1) • Example: • Given numbers: 7 8 4 5 • Assignment: Make 6 by addition, subtraction (later in grade 2 also • possible by multiplication and division)

  26. Various exercises calculation up to 20(2)

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