the model method for upper primary

Dr Yeap Ban Har banhar@sg.marshallcavendish.com

Marshall Cavendish Institute Singapore

Presentation slides are available at www.banhar.blogspot.com

The Model Method for

Upper Primary

The Model Method is Just One of Many Methods taught in Primary School

The Model Method

1st Day

2nd Day 4

3rd Day 4 4

4th Day 4 4 4

250

5

5th Day 4 4 4 4

250 – 40 = 210

210 : 5 = ?

42 + 16 = ?

Rosa made 58 paper cranes on the last day.

1st Day

2nd Day 4

3rd Day 4 4

4th Day 4 4 4

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

250

1st Day

2nd Day 4

3rd Day 4 4

4th Day 4 4 4

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

250

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = ?

There are 45 fours.45 x 4 = 180

10 units = 250 – 180 = 7001 units = 70 : 10 = 7

She made (7 + 9 x 4) = 43 paper cranes on the last day.

Struggling Average Advanced

Draw the model for all 10 days. Or reduce the problems to 4 days. Or act the situation out using counters.

Draw the model for about 7 or 8 days.

Draw the model for 3 or 4 days. Using algebra.

Sam

Terry

Vanessa

72

Sam

Terry

Vanessa

72

36 years old

36

Vanessa

Terry72

Sam

Terry

Vanessa

72

Sam

Pablo

Wynn

Zena

100

?

Advanced Techniques

110

270

110

270

2 units = 160 g1 units = 160 g : 2 = 80 gThe container weighs 110 g – 80 g = 30 g

Using algebrax+ 3y = 270x + y = 110

So, 2y = 160y = 160 : 2 = 80x + y = 110So, x = 30The container weighs 30 g.

y y

y

110

x

270

yx

boys

girls

34

boys

girls

68

boys

girls

88 – 68 = 20

boys

girls

88 – 68 = 20

boys

girls

boys

girls

boys

girls

34

34 – 20

2 girls units = 14

1 girls unit = 7

3 girls units = 21

21 girls wear spectacles.

Differentiated Instruction for Struggling and Advanced Learners

cookies cake 3,6 kg

cookies

cookies

cookies

basketball

soccer

basketball

soccer

Answer: 60

Answer: 100

Try These Yourselves!

210

38

15

38−15=740

740→210

140→210 : 7=30

3040→30×30=900

Number of women

Number of men

Number of children

5 units = 601 units = 60 : 5 = 12

8 units = 8 x 12 = 80 + 16 = 96There are 96 people at the party.

$120

185

tuna

chicken

7

$1.10

Apples Pears

Strategies

• Who is in the story? What is it about?• Read a sentence. Do something.• Leave out numbers in reading a sentence.• Are you sure? Is it easy?• Do more mental computations.• Can you explain this step? Maybe other

people cannot understand it.

Basic Models include Part-Whole Model, Change Model and Comparison Model

Mathematics to develop visualization through bar models, number sense

through mental calculation, and ability to manage information through word

problems.

Parents coaching children are providing the ‘voice’ that eventually becomes the

children’s own thinking.