P6 Math Curriculum, Syllabus Assessment (Topics and Weighting for PSLE)
P6 Math Curriculum, Syllabus Assessment (Topics and Weighting
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School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
Math Framework
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
Math Curriculum
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
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
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
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
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
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)
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
Assessment - Format
Level Continual Semestral Preliminary PSLE
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%)
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
Assessment - Format
Level Continual Semestral Preliminary PSLE
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)
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
Math Approach
Teacher Demonstrates
Teacher/Students Do Together
Students Try on Their Own
(Apply)
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
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
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
Mathematical Problem Solving Numbers
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
(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
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
Mathematical Problem Solving - Numbers
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
Solution
60 ÷ 5 = 12Ans: 12 × 2 = 24
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
Mathematical Problem Solving - Numbers
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
Solution
100 ÷ 6 = 16 R 416 × 4 = 64
Answer: 64 + 2 = 66
What is an alternative solution?
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
Mathematical Problem Solving - Numbers
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?
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
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
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
Mathematical Problem Solving - Numbers
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
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
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
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.
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
Solution
(a) Area of square Q = 21 × 21 = 441 square cm
(b) Perimeter of figure = 27 × 4 = 108 cm
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
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?
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
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
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
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
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
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
School Values: Kindness, Integrity, Resilience, Responsibility, Creativity
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School Values: Kindness, Integrity, Resilience, Responsibility, Creativity