Singapore Math

Primary 6

This course focuses on advanced mathematical concepts that prepare pupils for higher-level problem solving and mathematical reasoning. Pupils will extend their understanding of fractions through division, explore percentages and ratios in real-life contexts, and develop introductory algebra skills involving expressions and equations. In geometry and measurement, pupils will work with circles, composite figures, and volume-related problems involving cubes and cuboids. Statistical concepts are further developed through the study of averages and data analysis.

Objectives

  • Perform division involving fractions and apply fraction concepts in problem-solving situations
  • Solve problems involving percentages, including percentage increase and decrease
  • Understand, simplify, and apply ratios, including equivalent ratios and quantity sharing
  • Use basic algebraic expressions and equations to represent and solve mathematical problems
  • Calculate the area and circumference of circles and solve problems involving composite figures

Course Info

NUMBER AND ALGEBRA

SUB-STRAND: FRACTIONS
1. Four Operations
1.1 dividing a proper fraction by a whole number without calculator

1.2 dividing a whole number/proper fraction by a proper fraction without calculator

 

SUB-STRAND: PERCENTAGE
1. Percentage
1.1 finding the whole given a part and the percentage

1.2 finding percentage increase/decrease

 

SUB-STRAND: RATIO
1. Ratio
1.1 notation, representations and interpretation of a:b and a:b:c, where a, b and c are whole numbers, excluding ratios involving fractions and decimals

1.2 equivalent ratios

1.3 dividing a quantity in a given ratio

1.4 expressing a ratio in its simplest form

1.5 finding the ratio of two or three given quantities

1.6 finding the missing term in a pair of equivalent ratios

1.7 relationship between fraction and ratio

 

SUB-STRAND: ALGEBRA
1. Algebra
1.1 using a letter to represent an unknown number

1.2 notation, representations and interpretation of simple algebraic expressions such as

  • a ± 3
  • a × 3 or 3 a a
  • a ÷ 3 or 3

1.3 simplifying simple linear expressions excluding brackets

1.4 evaluating simple linear expressions by substitution

1.5 simple linear equations involving whole number coefficient only

 

MEASUREMENT AND GEOMETRY

SUB-STRAND: AREA AND VOLUME
1.  Area and Circumference of Circle
1.1 area and circumference of circle

1.2 finding the area and perimeter of

  • semicircle
  • quarter circle

1.3 finding the area and perimeter of composite figures made up of square, rectangle, triangle, semicircle and quarter circle
2. Volume of Cube and Cuboid
2.1 finding one dimension of a cuboid given its volume and the other dimensions

2.2 finding the length of one edge of a cube given its volume

2.3 finding the height of a cuboid given its volume and base area

2.4 finding the area of a face of a cuboid given its volume and one dimension

2.5 use of , 3

 

SUB-STRAND: GEOMETRY
1.  Special Quadrilaterals
1.1 finding unknown angles, without additional construction of lines, in composite geometric figures involving

  • square
  • rectangle
  • triangle
  • parallelogram
  • rhombus
  • trapezium

 

STATISTICS

SUB-STRAND: GEOMETRY
1.  Average of a Set of Data
1.1 average as ‘total value ÷ number of data’

1.2 relationship between average, total value and number of data

 

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