The document discusses the bar model method, a visual approach to solving math word problems using diagrams. It provides examples of using bar models to represent relationships in equations and solve for unknown values. It also discusses using the method with early grade students and adapting it for struggling and advanced learners. The document is by Dr. Yeap Ban Har from the Marshall Cavendish Institute in Singapore and includes links to view additional slides and resources on the bar modeling technique.

1. model Dr Yeap Ban Har
Marshall Cavendish Institute
Singapore
yeapbanhar@gmail.com
method
in singapore
math
Slides are available at Volcano, Hawai’i
www.banhar.blogspot.com

2. model
method
in singapore
math www.si.mcinstitute.com.sg
Dr Yeap Ban Har
Marshall Cavendish Institute
Singapore
yeapbanhar@gmail.com Marshall Cavendish Institute
Slides are available at www.mcinstitute.com.sg
www.banhar.blogspot.com
www.facebook.com/MCISingapore

3. What is the Bar Model Method?

4. 5 units = 60
1 units = 60 5 = 12
8 units = 8 x 12 = 80 + 16 = 96
Number of women There are 96 people at the party.
Number of men
Number of children

6. Let x be the
number of
people.
1 1 3
x ( x) 60 x
4 6 4
Let x be the Let x be the
number of number of
men. ‘the rest’.
5x 60 5
x 60
6

8. Bar Model Method
In Early Grades

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

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

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

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

18. • Guess-and-
check
• 58 – 12
• 12 + 8 = 30
20 + 38 = 58
38 + 8

19. Advanced Techniques

20. 270
110

21. 2 units = 160 g
1 units = 160 g 2 = 80 g
The container weighs
270 110 g – 80 g = 30 g
Using algebra
x+ 3y = 270
x + y = 110
110 So, 2y = 160
y = 160 2 = 80
x + y = 110
So, x = 30
The container weighs 30 g.

22. x y y y
270
x y
110

23. boys
34
girls

24. boys
68
girls

25. boys
88 – 68 = 20
girls

26. boys
88 – 68 = 20
girls

27. boys
girls

28. boys
girls

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

31. Differentiated Instruction for Struggling
and Advanced Learners

32. cookies cake 3.6 kg

33. cookies

34. Method 1
Cut each unit into 4 – either
vertically or horizontally.
cookies Method 2
Deal with the remainder and
then work backwards to deal
with the flour for the cookies.
cookies

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