Masterclass Rotterdam MAP111

Welkom Master Class
Singapore Math
Dr.Yeap Ban Har Marshall Cavendish Institute
2011alt/ HCO R
MAP111 Bar Model Method in Primary Mathematics

Masterclass
Singapore Rekenen
Rotterdam  Utrecht
DrYeap Ban Har
banhar@sg.marshallcavendish.com
Marshall Cavendish Institute Singapore
Presentation slides are available at www.banhar.blogspot.com

What is the Bar Model Method?

5 units = 60
1 units = 60 : 5 = 12
8 units = 8 x 12 = 80 + 16 = 96
There are 96 people at the party.
Number of women
Number of men
Number of children

Bar Model Method
In Early Grades

Jack
Kyla
3 units = $300
1 units = $300 : 3 = $100
Kyla gets $100.

Larry
Maria
4 units = $300
1 units = $300 : 4 = $75
3 units = 3 x $75 = $300 - $75 = $225
Maria gets $225.

What if the larger number is 58?
1st Number
2nd Number
Then the smaller number is 58 – 12 = 46.
12
What if the sum of the numbers is 58?
58 – 12 = 46
46 : 2 = 23
Then the smaller number is 23 and the larger number is 23 + 12 = 35.
58 + 12 = 70
The larger number is 70.

What if the total number of boys and girls is 58?

58 – 12 = 46
46 : 2 = 23
Peter
Natalia
12
Peter’s bag weighs 23 kg.
Natalia’s bag weighs 23 kg + 12 kg = 35 kg.

Basic Models include Part-Whole Model and Comparison Model

Mathematics to develop visualization through bar models, number sense through mental calculation, and ability to manage information through word problems.

1st Day
2nd Day
4
3rd Day
4
4
4th Day
4
4
4
250
5th Day
4
4
4
4
6th Day
4
4
4
4
4
7th Day
4
4
4
4
4
4
8th Day
4
4
4
4
4
4
4

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = ?
1st Day
There are 45 fours.
45 x 4 = 180
2nd Day
4
10 units = 250 – 180 = 70
01 units = 70 : 10 = 7
3rd Day
4
4
She made (7 + 9 x 4) = 43 paper cranes on the last day.
4th Day
4
4
4
250
5th Day
4
4
4
4
6th Day
4
4
4
4
4
7th Day
4
4
4
4
4
4
8th Day
4
4
4
4
4
4
4

5
1st Day
250 – 40 = 210
210 : 5 = ?
2nd Day
4
42 +
16 = ?
250
3rd Day
4
4
Rosa made 58 paper cranes on the last day.
4th Day
4
4
4
5th Day
4
4
4
4

Sam
72
Terry
Vanessa

36 years old
Sam
72
Terry
Vanessa
36

Vanessa
72
Terry

Sam
Sam
72
Terry
Vanessa

Pablo
Wynn
?
Zena
100

Advanced Techniques

270
110

2 units = 160 g
1 units = 160 g : 2 = 80 g
The container weighs
110 g – 80 g = 30 g
270
Using algebra
x+ 3y = 270
x + y = 110
So, 2y = 160
y = 160 : 2 = 80
x + y = 110
So, x = 30
The container weighs 30 g.
110

y
y
y
x
270
y
x
110

boys
34
girls

boys
68
girls

boys
88 – 68 = 20
girls

boys
girls

boys
2 girls units = 14
34
1 girls unit = 7
girls
3 girls units = 21
21 girls wear spectacles.
34 – 20

Differentiated Instruction for Struggling and Advanced Learners

cookies
cake
3,6 kg

cookies

cookies
cookies

Homework

basketball
soccer
Answer: 60
basketball
soccer
Answer: 100

basketball
soccer
Answer: 84

38−15=740

15

740->210

210
140->210 :7=30

38

3040->30 × 30=900

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Masterclass Rotterdam MAP111

by Jimmy Keng on Oct 04, 2011

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