Download - The Model Method for Upper Primary
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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
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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.