calculation up to 20; nied, okahandja - advisory teachers - october 2013

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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

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 – j.griffioen@hr.nl Jaap de Waard – j.de.waard@hr.nl

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!

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