The Model Method for Upper Primary

45
Dr Yeap Ban Har [email protected] om Marshall Cavendish Institute Singapore Presentation slides are available at www.banhar.blogspot.com The Model Method for Upper Primary

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Transcript of The Model Method for Upper Primary

Page 1: The Model Method for Upper Primary

Dr Yeap Ban Har [email protected]

Marshall Cavendish Institute Singapore

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

The Model Method for

Upper Primary

Page 2: The Model Method for Upper Primary

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

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The Model Method

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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.

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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

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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.

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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.

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Sam

Terry

Vanessa

72

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Sam

Terry

Vanessa

72

36 years old

36

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Vanessa

Terry72

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Sam

Terry

Vanessa

72

Sam

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Pablo

Wynn

Zena

100

?

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Advanced Techniques

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110

270

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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.

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y y

y

110

x

270

yx

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boys

girls

34

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boys

girls

68

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boys

girls

88 – 68 = 20

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boys

girls

88 – 68 = 20

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boys

girls

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boys

girls

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boys

girls

34

34 – 20

2 girls units = 14

1 girls unit = 7

3 girls units = 21

21 girls wear spectacles.

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Differentiated Instruction for Struggling and Advanced Learners

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cookies cake 3,6 kg

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cookies

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cookies

cookies

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basketball

soccer

basketball

soccer

Answer: 60

Answer: 100

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Try These Yourselves!

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210

38

15

38−15=740

740→210

140→210 : 7=30

3040→30×30=900

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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.

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$120

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185

tuna

chicken

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7

$1.10

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Apples Pears

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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.

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

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Mathematics to develop visualization through bar models, number sense

through mental calculation, and ability to manage information through word

problems.

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

children’s own thinking.