Association of Mathematics Educators Seminar on PSLE Mathematics

mathematics

[email protected]

www.banhar.blogspot.com

ORGANIZED BY12 March 2011 @ Raffles Institution

Yeap Ban HarMarshall Cavendish Institute, Singapore& Pathlight School, Singapore

mathematics

ORGANIZED BY

The Curriculum The Format Mental Strategies Visual Strategies Core Competencies in Problem Solving

Woodla

nds

Pri

mary

Sch

ool

The Curriculum

The Format

Reference: Page 80

Just-for-Fun Problem

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

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


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


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


Mental StrategiesSpecimen Paper Question 9

12 kg

3

4 kg


Mental StrategiesSpecimen Paper Question 10

47

90

100, 137

137 and 43 makes 180


Mental StrategiesFind the value of 1000 – 724 .

Find the value of 1050 – 264 .

999 – 724

275

So, 1000 – 724

724 and makes 1000


There are 10 such SAQs in PSLE Mathematics.


Mental StrategiesFind the value of 1000 – 724 .

Find the value of 1050 – 264 .

1000 + 50

990+ 60

986 + 64


786


Mental StrategiesFind the value of 12.2 ÷ 4 .

12 ÷ 4

2 tenths ÷ 4

20 hundredths ÷ 4


3.05


Find the value of 12.2 ÷ 4 .



Find the value of ÷ 6 .


Mental Strategies


Find the value of ÷ 6 .


Visual Strategies

The Curriculum

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?


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?

Answer: ________________

$95 ÷ 40 cents = 237 remainder 20 cents


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


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


See Specimen Paper 1 Questions 26 – 30

Question 30

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

PSLE 2006 – 2010 Page 13 Question 45


SourceMy Pals Are Here! Mathematics Primary 4


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


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.


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


List 1 List 2

11 + 622 + 633 + 644 + 655 + 666 + 6

16 + 2524 + 2532 + 2540 + 2548 + 2556 + 25


List 1 List 2

11 + 622 + 633 + 644 + 655 + 666 + 677 + 688 + 699 + 6

16 + 2524 + 2532 + 2540 + 2548 + 2556 + 2564 + 2572 + 2580 + 25


See Page 18

Number of Apples

Number of Oranges

Number ofPears 38


Number of Apples

Number of Oranges

Number ofPears 231515

See Page 18


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

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

[email protected]



ORGANIZED BY

Woodla

nds

Pri

mary

Sch

ool

[email protected]



Go to Marshall Cavendish Institute’s Facebook for Diary of Parent Education Courses and Teacher Professional Development opportunities.

Association of Mathematics Educators Seminar on PSLE Mathematics

Education

Transcript of Association of Mathematics Educators Seminar on PSLE Mathematics