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Calculation up to 20: teaching-learning trajectory and teaching materials
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Presentatie titel
Rotterdam, 00 januari 2007
Calculation up to 20
Okahandja, October 2013
Teaching materials
1 All kind of counting materials
Counting materials
Counting one-by-onePutting together the quantities 1 - 20Combining and splitting of amountsMaking series of quantities
Teaching materials
2 Number line 1 - 20
Number line 1 - 20
Orientation in the number range 1 – 205- and 10-structureCounting in one’s, counting in fivesEven and odd numbersNeighbours Addition by counting onSubtraction by counting back
Strategies: counting on, counting back
Teaching materials
3 Number snake 1 - 20
Number snake 1 - 20
Orientation in the number range 1 – 205- and 10-structureCounting in one’sEven and odd numbersNeighbours Number game with a dieAddition by counting onSubtraction by counting back
Strategies: counting on, counting back
Teaching materials
4 ‘Numbers in love’, ‘Friends of 10
Numbers in love
Number bonds of 10Complementing to 10
Teaching materials
5 10-frame with 5-structure
Teaching materials
10-frames
10-frame
Orientation in the number range 1 – 105-structureDoubles structure, halves structureCounting in one’sAddition by counting onSubtraction by counting backCalculating ‘via 5’Reading the answer without counting
Strategies: counting on, counting back, ‘via 5’
Teaching materials
6 20-beads string with 5-structure
20-beads string with 5- and 10-structure
Orientation in the number range 1 – 205-structure and10-structureCounting in one’s, counting in fivesAddition by counting onSubtraction by counting backCalculating ‘via 5’, calculating ‘via 10’Reading the answer without counting
Strategies: counting on, counting back, ‘via 5’, ‘via 10’
Teaching materials
7 20-frame
Teaching materials
8 20-frame
20-frame
Orientation in the number range 1 - 10, 1 – 205-structure and 10-structureDoubles structure, halves structureCounting in one’s, counting in fivesAddition by addingSubtraction by taking awayCalculating ‘via 5’, calculating ‘via 10’Calculating ‘with fives’, ‘with doubles’ and ‘with halves’Reading the answer without counting
Strategies: adding, taking away, ‘via 5’, ‘via 10’, ‘with fives, doubles and halves’
Strategies
Counting on
1-more2 + 1, 1 + 4
2-more3 + 2, 2 + 6
Strategies
Materials with 5-structure:
10-frame, beads string
Splitting by 54 + 3 =4 + 1 + 2 =5 + 2 = 7
5-problems5 + 3 , 2 + 5
Strategies
Materials with 5- and 10-structure:Beads string & Friends of 10
Splitting by 10‘via 10’7 + 5 =7 + 3 + 2 = 10 + 2 = 12
Strategies
Materials with 5- and 10-structure:20-frame
Nearly doubles7 + 6 = 6 + 1 + 6 =12 + 1 = 13
Doubles4 + 4 = 86 + 6 = 12,7 + 7 = 14
Via 108 + 6 = 8 + 2 + 4 =10 + 4 = 14
Splitting in fives6 + 7 = 5 + 1 + 5 + 2 =10 + 3 = 13
Strategies
Materials with 5- and 10-structure:20-frame
Nearly halves14 - 8 = 14 - 7 - 1 =7 – 1 = 6 14 – 6 = 14 – 7 + 1 = 7 + 1 = 8
Halves8 - 4 = 412 - 6 = 6,14 - 7 = 7
Via 1015 – 7 = 15 – 5 – 2= 10 - 2 = 8
Summery of the strategies
Basics:
One more - 3 + 1Two more - 3 + 2Doubles - 3 + 3Friends of 10 - 3 + 7Splitting by 5 - 4 + 3
Via ten - 8 + 5
Summery of the strategies
Basics:
One less – 8 - 1 Two less – 8 - 2Halves – 8 - 4Splitting by 5 – 7 - 4Via 10 – 13 - 5
Please make the materials yourself.
Use the materials and discover the possibilities to teach mathematics with these ‘easy to make’ teaching materials!
Jaap Griffioen – [email protected] Jaap de Waard – [email protected]
15-game1 2 3 4 5 6 7 8 9
Player 1
Player 2
Rules of the game:
Take a turn to a number,
Choose from 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!
