times tables; nied, okahandja - advisory teachers - october 2013
DESCRIPTION
Times tables: teaching-learning trajectory and teaching materialsTRANSCRIPT
Presentatie titel
Rotterdam, 00 januari 2007
Times tables
Okahandja, October 2013
The concept of multiplication:counting-based repeated addition
Times tables
repeated addition
The concept of multiplication:structuring-based multiplication
Times tables – the strategies of structured multiplication
Strategy: ‘changing’
Strategy: ‘one-times-more’
Times tablesthe strategies of structured multiplication
Strategy: ‘one-times-less’
Strategy: ‘doubling’
Times tablesthe strategies of structured multiplication
Strategy: ‘halving’
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’
Formal multiplication;anchor points and strategies
Formal multiplication;anchor points and strategies
Teaching materials times tables
Step 1: repeated additionTimes tables containers,Buttons, bottle tops, beans, …. all kind of counting
materials
Step 2: structured multiplicationTilesTimes table square
Step 3: formal multiplicationRelation schemes
Memorization
Say the times table and lay the tilesTimes table snakesTimes table memory gamesTimes table bingo
Relation schemesTimes tables ‘award’Exercises
1 times2 times3 times4 times5 times
6 times7 times8 times9 times10 times
1 Times tables containers 1 - 10
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’
2 Buttons, bottletops, beans, strings, sticks, stones, all kind of counting materials
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, …….
3 Tiles
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.,
4 Times tables memory game
2 x 5
6 x 8 4 x 3 3 x 4
4 Times tables memory game
2 x 5
6 x 8 4 x 3
10
48
12
5 Times table snakes
6 / 4 x 3
12/ 8 x 3
24/10 x 3
30/ 5 x 3
27/ 6 x 3
18/ 7 x 3
21/ 1 x 3
3/ 3 x 3
9
2 x 315/ 9 x 3
6 Relation sheets
4 x 3 = 12
….x 3 = …. ….x 3 = ….
….x 3 = …. ….x 3 = ….
1-time more 1-time less
halving doubling
7 Times table square
x 1 2 3 4 5
1
2
3
4
5
7 Times table square
x 1 2 3 4 5
1
2
3
4
5
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.,
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!
Jaap Griffioen – [email protected] Jaap de Waard – [email protected]
How do you know the times tables?
Discussion
Excersises with teaching materials, multiplication problems, games (24-game)
Speedtest