Association of Mathematics Educators Seminar on PSLE Mathematics

mathematics
Yeap Ban Har
Marshall Cavendish Institute, Singapore
& Pathlight School, Singapore
banhar.yeap@pathlight.org.sg
www.banhar.blogspot.com
12 March 2011 @ Raffles Institution
ORGANIZED BY

Woodlands Primary School
The Curriculum
The Format
Mental Strategies
Visual Strategies
Core Competencies in Problem Solving
mathematics
ORGANIZED BY

The Curriculum

Reference: Page 80
The Format

Just-for-Fun Problem

3x + 4y + 5z = 50
1 5
7
3 4
6
x + y + z = 13
5 3
5
3x + 3y + 3z = 39
7 2
4
y + 2z = 11
9 1
3
2
11 0
Just-for-Fun Problem: Solution

Which of the following numbers is the largest?
6.59
6.95
6.509
6.905
See Examples on Page 1
The Really Basic Stuff

Mental Strategies
A 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
There are 10 such MCQs in PSLE Mathematics.
See Specimen Paper 1 Questions 1 – 10.

Mental Strategies
A machine can print 80 cards in 3 minutes.
At this rate, how many cards can it print in 1 hour?
30 minutes
1 hour

Mental Strategies
Specimen Paper Question 9
12 kg
3
4 kg

Mental Strategies
Specimen Paper Question 10
47
137 and 43 makes 180
90
100, 137

Mental Strategies
Find the value of 1000 – 724 .
999 – 724
724 and  makes 1000
275
So, 1000 – 724
There are 10 such SAQs in PSLE Mathematics.

Mental Strategies
1000 + 50
990+ 60
986+ 64
786

Mental Strategies
Find the value of 12.2 ÷ 4 .
12 ÷ 4
2 tenths ÷ 4
20 hundredths ÷ 4
3.05

Find the value of 12.2 ÷ 4 .

Mental Strategies
Find the value of 35 ÷ 6 .


Visual Strategies
Find the value of 35 ÷ 6 .


The Curriculum

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?
Answer: ________________
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?
$95 ÷ 40 cents = 237 remainder 20 cents
Answer: ________________

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?
$95 ÷ 40 cents = 237.5
Answer: ________________

2-marks items are typically two steps with a few requiring competencies that are required in problem solving.
See Specimen Paper 1 Questions 26 – 30
Question 29
5 : 1
6 : 1
Question 29
5 : 1 = 35 : 7
6 : 1 = 36 : 6
Answer: 71 : 13
There are 5 such SAQs in each Paper.

See Specimen Paper 1 Questions 26 – 30
Question 30

2-marks items are typically two steps with a few requiring competencies that are required in problem solving.
See Page 13
Problems that Requires Visualization

PSLE 2006 – 2010 Page 13 Question 45

Source
My Pals Are Here! Mathematics Primary 4

See Page 13
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 19

3 x ? = 2 + 25
? = 9
There were 10 girls.
There were 9 x 11 + 6 = 8 x 10 + 25 = 105 sweets altogether.

See Page 19
Guess when each tried taking 11
33 Last girl had 11 sweets

List 1 List 2
11 + 6
22 + 6
33 + 6
44 + 6
55 + 6
66 + 6
16 + 25
24 + 25
32 + 25
40 + 25
48 + 25
56 + 25

List 1 List 2
11 + 6
22 + 6
33 + 6
44 + 6
55 + 6
66 + 6
77 + 6
88 + 6
99 + 6
16 + 25
24 + 25
32 + 25
40 + 25
48 + 25
56 + 25
64 + 25
72 + 25
80 + 25

See Page 18
Number of Apples
Number of Oranges
Number of
Pears
38

See Page 18
Number of Apples
Number of Oranges
Number of
Pears
23
15
15

See Page 18
5 units = 90 + 15 = 105
Number of Apples
Number of Oranges
Number of
Pears
105 : 5
= 21
Number of oranges used
= 65 – 21 = 44
23
15
15
Number of pears = 21 + 21 + 23 =65

mathematics
The Curriculum
The Format
Mental Strategies
Visual Strategies
Core Competencies in Problem Solving
Visualization
Patterns & Relationship
Number Sense
Metacognition
Communication
ORGANIZED BY

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Association of Mathematics Educators Seminar on PSLE Mathematics

by Jimmy Keng on Mar 12, 2011

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Association of Mathematics Educators Seminar on PSLE Mathematics — Presentation Transcript