Singapore Primary Math Explained sc-math

Primary Mathematics Syllabus 2007

Updated: 6 September, 2007

Primary 1 Primary 2 Primary 3
Primary 4 Primary 5 Primary 6

The information below is from the document "Primary Mathematics Syllabus 2007" produced by Singapore's Ministry Of Education (MOE) for implementation from year 2007.

Primary 5

Whole Numbers Fractions Decimals
Percentage Ratio Measurement
Geometry Data Analysis

(Calculator is allowed unless otherwise stated)

Whole Numbers

  1. Numbers up to 10 million
    • reading and writing numbers in numerals and in words
    • rounding off numbers to the nearest 1000
  2. Four operations
    • multiplication and division by tens, hundreds and thousands without using calculators
    • solving word problems involving the 4 operations
    • estimation of answers in calculations
    • checking reasonableness of answers
  3. Order of operations
    • combined operations involving the 4 operations
    • use of brackets

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Fractions

  1. Concept of fraction as division
    • association of a fraction with division
    • conversion between fractions and decimals
  2. Four operations
    • addition and subtraction of proper fractions without using calculators
    • addition and subtraction of mixed numbers
    • multiplication of two proper fractions without using calculators
    • multiplication of an improper fraction and a proper/improper fraction
    • multiplication of a mixed number and a whole number
    • division of a proper fraction by a whole number without using calculators
    • solving word problems involving the 4 operations
    • (Denominators of given fractions should not exceed 12, for calculations without using calculators)
    • Exclude:
      • calculations involving more than 2 different denominators
      • multiplication of a mixed number by a proper fraction / improper fraction / mixed number
      • division of an improper fraction / mixed number by a whole number

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Decimals

  1. Four operations
    • multiplication and division of decimals (up to 3 decimal places) by tens, hundreds and thousands without using calculators
    • solving word problems involving the 4 operations
    • rounding off answers to a specified degree of accuracy
    • estimation of answers in calculations
    • checking reasonableness of answers
    • Exclude:
      • multiplication and division by a decimal

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Percentage

  1. Percentage
    • expressing a part of a whole as a percentage
    • use of the percentage symbol (%)
    • writing fractions and decimals as percentages, and vice versa
    • finding a percentage part of a whole
    • solving up to 2-step word problems involving percentage
    • discount, GST and annual interest
    • Exclude:
      • expressing one quantity as a percentage of another, e.g. “A is 60% of B
      • comparison of two quantities by percentage, e.g. “ A is 20% more than B.”

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Ratio

  1. Ratio
    • interpretation of a : b and a : b : c, where a, b and c are whole numbers
    • writing equivalent ratios
    • expressing a ratio in its simplest form
    • finding the ratio of two or three given quantities
    • finding the missing term in a pair of equivalent ratios
    • finding one quantity given the other quantity and their ratio
    • solving up to 2-step word problems involving ratio
    • Exclude:
      • ratios involving fractions and decimals

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Measurement

  1. Length, mass and volume
    • conversion of a measurement from a smaller unit to a larger unit in decimal form, and vice versa
      • kilometres and metres
      • metres and centimetres
      • kilograms and grams
      • litres and millilitres
  2. Area of triangle
    • identifying the base of a triangle and its corresponding height
    • use of formula to calculate the area of a triangle
    • Exclude:
      • finding the base / height of a triangle given its area
  3. Volume of cube and cuboid
    • building solids with unit cubes
    • measurement of volume in cubic units
    • drawing cubes and cuboids on an isometric grid
    • measurement of volume in cubic centimetres (cm³) / cubic metres (m³)
    • use of formula to calculate the volume of a cube / cuboid
    • finding the volume of liquid in a rectangular tank
    • conversion between , ml and cm³
    • solving up to 3-step word problems involving the volume of a cube / cuboid
    • Exclude:
      • conversion between cm³ and m³

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Geometry

  1. Angles
    • use of the following properties to find unknown angles
      • angles on a straight line
      • angles at a point
      • vertically opposite angles
    • Triangle
      • identifying and naming the following types of triangles
        • isosceles triangle
        • equilateral triangle
        • right-angled triangle
      • use of the property that the angle sum of a triangle is 180°
      • finding unknown angles
      • drawing a triangle from given dimensions using ruler, protractor and set squares
      • Exclude:
        • geometrical construction where the use of compasses is required
        • finding angles involving additional construction of lines
        • exterior angles
    • Parallelogram, rhombus and trapezium
      • identifying and naming parallelogram, rhombus and trapezium
      • properties of parallelogram, rhombus and trapezium
      • finding unknown angles
      • drawing a square / rectangle / parallelogram / rhombus / trapezium from given dimensions using ruler, protractor and set squares
      • Exclude:
        • the term ‘diagonal’ and its related properties
        • geometrical construction where the use of compasses is required
        • finding angles involving additional construction of lines

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Data Analysis

  1. Average of a set of data
    • interpretation of average as "total amount ÷ number of items"
    • calculation of the average number / quantity
    • finding the total amount given the average and the number of items
    • solving word problems involving average

The above information are summarised from Singapore's Ministry of Education website at www.moe.gov.sg (link opens in new page)

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