the model method for upper primary
DESCRIPTION
This was part of MENDAKI'sTRANSCRIPT
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
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.