p6 math curriculum, syllabus assessment (topics and weighting for psle) · 2019-02-24 · school...

P6 Math Curriculum, Syllabus Assessment (Topics and Weighting

for PSLE)

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School Values: Kindness, Integrity, Resilience, Responsibility, Creativity

Math Framework


Math Curriculum


P6 Math Syllabus - Standard

Content

Numbers and Algebra (45%) –Whole Numbers, Fractions, Decimals (25%) Percentage, Ratio (10%) Rate and Speed (5%)Algebra (5%)

Measurement (20%) – Time / Length / Area and Perimeter / Volume Geometry (20%) – Angles / Nets / Triangles / Quadrilaterals / Circles

Statistics (15%) – Average / Tables and Line Graphs / Pie Charts


P6 Math Syllabus - Foundation

Content

Numbers (30%) - Whole Numbers / Fractions / Decimals Percentage (10%)Rate (5%)

Measurement (25%) – Time / Area and Perimeter of Square, Rectangle, Triangleand Composite Figure / Volume of Cube and Cuboid and Liquid Geometry (15%) – Perpendicular and Parallel Lines / Angles / Properties of Triangle

Statistics (15%) – Average / Pie Chart / Tables, Bar Graphs and Line Graph


Assessment

Level Continual Semestral Preliminary PSLE

Primary 6

Standard

10% 30% 60%

Paper 1 – 1 h (without calculator)

Paper 2 – 1 h 30 min (with calculator)

Primary 6

Foundation

Paper 1 – 1 h (without calculator)

Paper 2 – 1 h (with calculator)


Assessment - Format


Primary 6

Standard

Paper 1 (45%)

Booklet A – 15 Multiple Choice Questions (20%)

Booklet B – 15 Short Answer Questions (25%)

Paper 2 (55%)

5 Short Answer Questions (10%)

12 Long Answer Questions (45%)


Assessment - Format


Primary 6

Foundation

Paper 1 (50 marks)

Booklet A – 20 Multiple Choice Questions (30)

Booklet B – 10 Short Answer Questions (20)

Paper 2 (40 marks)

10 Short Answer Questions (20)

6 Long Answer Questions (20)


Math Approach

Teacher Demonstrates

Teacher/Students Do Together

Students Try on Their Own

(Apply)


4-Step Problem Solving – Polya’s Model

1. Read to understand the problem – restate problem

2. Plan a Strategy – Try common heuristics such as model drawing, find a pattern, systematic listing

3. Solve – Use computational skills, mathematical tools, reasoning

4. Check – Is answer plausible? / Use an alternative method / Work backwards to ensure answer satisfy the given conditions in a problem


Mathematical Problem Solving Numbers


(a) No of white tiles = 5 × 5 = 25No of grey tiles = 20 + 4 = 24

(b)(i) Total no = 20 × 20 = 400(ii) No of grey tiles = 400 – 18 × 18 = 76

What is an alternative solution?

Solution


Mathematical Problem Solving - Numbers


Solution

60 ÷ 5 = 12Ans: 12 × 2 = 24


Solution

100 ÷ 6 = 16 R 416 × 4 = 64

Answer: 64 + 2 = 66

What is an alternative solution?



The first 15 numbers of a number pattern are given below.

4, 0, 1, 2, 4, 0, 1, 2, 4, 0, 1, 2, 4, 0, 1, . . . 1st 15th

(a) What is the 626th number?

(b) What is the sum of the first 627 numbers?


Solution

The first 15 numbers of a number pattern are given below.

4, 0, 1, 2, 4, 0, 1, 2, 4, 0, 1, 2, 4, 0, 1, . . . 1st 15th

(a) What is the 626th number?

(b) What is the sum of the first 627 numbers?

(a) 626 ÷ 4 = 156 R 2Ans: 0

(b) 156 × 7 = 1092

Ans: 1092 + 4 + 0 + 1 = 1097


Mathematical Problem Solving - Measurement

Jess needs 200 pieces of ribbons, each of length 110 cm, to decorate a room for a party. Ribbon is sold in rolls of 25 m each.

What is the least number of rolls of ribbon that Jess needs to buy?

Spot the error in the reasoning.

Total length of ribbon needed = 200 x 110 cm = 22 000 cmLength of 1 roll = 25 m = 2500 cmNumber of rolls needed = 22 000 ÷ 2500 = 8.8 9Answer: 9 rolls


Mathematical Problem Solving - Measurement

Jess needs 200 pieces of ribbons, each of length 110 cm, to decorate a room for a party. Ribbon is sold in rolls of 25 m each.

What is the least number of rolls of ribbon that Jess needs to buy?

The correct solution.

Length of 1 roll = 25 m = 2500 cmNumber of ribbons obtained from 1 roll = 2500 ÷ 110 = 22 R 80 cm 1 roll will produce 22 ribbons.10 rolls are needed to produce 220 ribbons.


Solution

(a) Area of square Q = 21 × 21 = 441 square cm

(b) Perimeter of figure = 27 × 4 = 108 cm


Mathematical Problem Solving - Rate

The figure below shows an empty tank placed below 2 taps, A and B.

It takes 8 min to fill the tank with tap A only and 12 min with tap B only.

Starting with an empty tank, tap A was turned on for 2 min before tap B

was turned on. How long did it take to fill 𝟐

𝟑of the tank?


Mathematical Problem Solving - Solution

8 min 1 tank filled by tap A

1 min 1

8of tank filled by tap A

12 min 1 tank filled by tap B

1 min 1

12of tank filled by tap B

1 min 1

8+

1

12=

5

24of tank filled by tap A and B

What fraction of tank was filled by tap A after 2 min?

2 min 2

8of tank filled by tap A

2

3= 16

24of tank needed to be filled, but

2

8=

6

24of tank already filled by tap A

16

24-6

24= 10

24needed to be filled by tap A and B

2 min 10

24of tank filled by tap A and B Ans: 2 + 2 = 4 min


Mathematical Problem Solving - Rate

The figure shows a tank and 2 taps, A and B.

Tap A alone fills the tank in 12 min.Tap B alone drains the water from a full tank in 8 min.

Both taps were turned on at the same time.Starting with a full tank, altogether how long does it take for both taps

to fill 𝟏

𝟒of the tank?

Tap B

Tap A


Mathematical Problem Solving - Solution

12 min 1 tank filled

1 min 1

12of tank filled

8 min 1 tank drained

1 min 1

8of tank drained

1 min 1

8-1

12=

1

24of tank drained

What fraction needs to be drained such that 1

4of tank is filled?

1

4=

6

24filled, so

18

24of tank needs to be drained.

18 min 18

24of tank drained

Ans: 18 min


Supporting your child in learning

A*ttendance

A*ctive Participation

A*ttitudeSense of Urgency.Focus.Self-Discipline.Effort Determines Success

A*chievement

p6 math curriculum, syllabus assessment (topics and weighting for psle) · 2019-02-24 · school...

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