Association of Mathematics Educators Seminar on PSLE Mathematics
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Transcript of Association of Mathematics Educators Seminar on PSLE Mathematics
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mathematics
www.banhar.blogspot.com
ORGANIZED BY12 March 2011 @ Raffles Institution
Yeap Ban HarMarshall Cavendish Institute, Singapore& Pathlight School, Singapore
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mathematics
ORGANIZED BY
The Curriculum The Format Mental Strategies Visual Strategies Core Competencies in Problem Solving
Woodla
nds
Pri
mary
Sch
ool
![Page 3: Association of Mathematics Educators Seminar on PSLE Mathematics](https://reader035.fdocuments.us/reader035/viewer/2022062513/554efbebb4c90580698b4ab2/html5/thumbnails/3.jpg)
The Curriculum
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The Curriculum
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The Format
Reference: Page 80
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Just-for-Fun Problem
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Just-for-Fun Problem: Solution
x + y + z = 13
3x + 4y + 5z = 50
3x + 3y + 3z = 39
y + 2z = 11
x y z
1 57
3 46
5 35
7 24
9 13
11 0 2
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The Really Basic Stuff
Which of the following numbers is the largest?
(1) 6.59
(2) 6.95
(3) 6.509
(4) 6.905
See Examples on Page 1
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The Really Basic Stuff
There are 10 such MCQs in PSLE Mathematics.
See Specimen Paper 1 Questions 1 – 10.
Mental StrategiesA movie started at 11.55 p.m. and ended at 1.30 a.m. How long was the movie in hours and minutes?
12.00
1.00
1.30
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The Really Basic Stuff
Mental StrategiesA machine can print 80 cards in 3 minutes.At this rate, how many cards can it print in 1 hour?
30 minutes 1 hour
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The Really Basic Stuff
Mental StrategiesSpecimen Paper Question 9
12 kg
3
4 kg
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The Really Basic Stuff
Mental StrategiesSpecimen Paper Question 10
47
90
100, 137
137 and 43 makes 180
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The Really Basic Stuff
Mental StrategiesFind the value of 1000 – 724 .
Find the value of 1050 – 264 .
999 – 724
275
So, 1000 – 724
724 and makes 1000
See Examples on Page 9
There are 10 such SAQs in PSLE Mathematics.
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The Really Basic Stuff
Mental StrategiesFind the value of 1000 – 724 .
Find the value of 1050 – 264 .
1000 + 50
990+ 60
986 + 64
See Examples on Page 9
786
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The Really Basic Stuff
Mental StrategiesFind the value of 12.2 ÷ 4 .
12 ÷ 4
2 tenths ÷ 4
20 hundredths ÷ 4
See Examples on Page 10
3.05
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The Really Basic Stuff
Find the value of 12.2 ÷ 4 .
See Examples on Page 10
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The Really Basic Stuff
Find the value of ÷ 6 .
See Examples on Page 9
Mental Strategies
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The Really Basic Stuff
Find the value of ÷ 6 .
See Examples on Page 9
Visual Strategies
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The Really Basic Stuff
Find the value of ÷ 6 .
See Examples on Page 9
Visual Strategies
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The Curriculum
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Basic Problem Solving
Pens are sold in packets of 5 pens. Each packet is sold at $7.Gopal has $30. How many pens can he buy at most?
See Examples on Page 12
Answer: ________________
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Basic Problem Solving
Pens are sold in packets of 5 pens. Each packet is sold at $7.Gopal has $30. How many pens can he buy at most?
See Examples on Page 12
Answer: ________________
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Basic Problem Solving
Foundation Mathematics Specimen Paper 2
Cup cakes are sold at 40 cents each. What is the greatest number of cup cakes that can be bought with $95?
Answer: ________________
$95 ÷ 40 cents = 237 remainder 20 cents
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Basic Problem Solving
Foundation Mathematics Specimen Paper 2
Cup cakes are sold at 40 cents each. What is the greatest number of cup cakes that can be bought with $95?
Answer: ________________
$95 ÷ 40 cents = 237.5
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Basic Problem Solving
Foundation Mathematics Specimen Paper 2
Cup cakes are sold at 40 cents each. What is the greatest number of cup cakes that can be bought with $95?
Answer: ________________
$95 ÷ 40 cents = 237.5
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Basic Problem Solving
2-marks items are typically two steps with a few requiring competencies that are required in problem solving.
There are 5 such SAQs in each Paper.
See Specimen Paper 1 Questions 26 – 30
Typical 2-Step Problems Challenging Problems
26 27 28 29 30
Question 295 : 16 : 1
Question 295 : 1 = 35 : 76 : 1 = 36 : 6
Answer: 71 : 13
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Basic Problem Solving
See Specimen Paper 1 Questions 26 – 30
Question 30
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Problems that Requires Visualization
2-marks items are typically two steps with a few requiring competencies that are required in problem solving.
See Page 13
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PSLE 2006 – 2010 Page 13 Question 45
Problems that Requires Visualization
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Problems that Requires Visualization
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Problems that Requires Visualization
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SourceMy Pals Are Here! Mathematics Primary 4
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PSLE 2006 – 2010 Page 13 Question 46
1.2 m x 42 = 50.4 m
43 – 6 = 37 There were 36 spacing
50.4 m ÷ 36 = 1.4 m The new spacing was 1.4 m.
See Page 13
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PSLE 2006 – 2010 Page 19 Question 58
See Page 19
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PSLE 2006 – 2010 Page 19 Question 58
3 x ? = 2 + 25
? = 9
There were 10 girls.
There were 9 x 11 + 6 = 8 x 10 + 25 = 105 sweets altogether.
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PSLE 2006 – 2010 Page 19 Question 58
Guess when each tried taking 11
33 Last girl had 11 sweets 41 Last girl had 8 sweets 49 Last girl had 5 sweets 57 Last girl had 2 sweets
See Page 19
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PSLE 2006 – 2010 Page 19 Question 58
List 1 List 2
11 + 622 + 633 + 644 + 655 + 666 + 6
16 + 2524 + 2532 + 2540 + 2548 + 2556 + 25
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PSLE 2006 – 2010 Page 19 Question 58
List 1 List 2
11 + 622 + 633 + 644 + 655 + 666 + 677 + 688 + 699 + 6
16 + 2524 + 2532 + 2540 + 2548 + 2556 + 2564 + 2572 + 2580 + 25
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PSLE 2006 – 2010 Page 18 Question 55
See Page 18
Number of Apples
Number of Oranges
Number ofPears 38
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PSLE 2006 – 2010 Page 18 Question 55
See Page 18
Number of Apples
Number of Oranges
Number ofPears 38
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PSLE 2006 – 2010 Page 18 Question 55
Number of Apples
Number of Oranges
Number ofPears 231515
See Page 18
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PSLE 2006 – 2010 Page 18 Question 55
Number of Apples
Number of Oranges
Number ofPears 231515
See Page 18
105 : 5 = 21
5 units = 90 + 15 = 105
Number of pears = 21 + 21 + 23 =65
Number of oranges used= 65 – 21 = 44
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PSLE 2006 – 2010 Page 18 Question 55
Number of Apples
Number of Oranges
Number ofPears 231515
See Page 18
105 : 5 = 21
5 units = 90 + 15 = 105
Number of pears = 21 + 21 + 23 =65
Number of oranges used= 65 – 21 = 44
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mathematics
ORGANIZED BY
The Curriculum The Format Mental Strategies Visual Strategies Core Competencies in Problem Solving
Visualization Patterns & Relationship Number Sense Metacognition Communication
Woodla
nds
Pri
mary
Sch
ool
www.banhar.blogspot.com
www.banhar.blogspot.com
![Page 47: Association of Mathematics Educators Seminar on PSLE Mathematics](https://reader035.fdocuments.us/reader035/viewer/2022062513/554efbebb4c90580698b4ab2/html5/thumbnails/47.jpg)
ORGANIZED BY
Woodla
nds
Pri
mary
Sch
ool
www.banhar.blogspot.com
www.banhar.blogspot.com
Go to Marshall Cavendish Institute’s Facebook for Diary of Parent Education Courses and Teacher Professional Development opportunities.