Singapore Primary Math Explained sc-math

Primary Mathematics Syllabus (2001 - 2006)

Updated: 29 December, 2004

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

The information below is from the document "Primary Mathematics Syllabus 2001" produced by Singapore's Ministry Of Education (MOE).

Primary 4

Whole Numbers Money and Measures Statistics
Fractions Decimals Geometry

Whole Numbers

  1. Number Notation And Place Values
    • read and write numbers up to 100,000 in numerals and in words
    • recognise the place values of numbers (ten thousands, thousands, hundreds, tens, ones)
      • includes completing number sequences
    • compare and order numbers up to 100,000
  2. Approximation And Estimation
    • round off numbers to the nearest 10 and 100
    • estimate the answers in calculations involving addition, subtraction and multiplication
      • includes checking reasonableness of answers
  3. Factors And Multiples
    • determine if a 1-digit number is a factor of a given whole number
    • list all factors of a whole number up to 100
      • includes finding common factor of 2 numbers
      • excludes finding highest common factor (H. C. F.)
    • determine if a whole number is a multiple of a given 1-digit whole number
    • list the first 12 multiples of a given 1-digit whole number
      • includes finding common multiple of 2 numbers
      • excludes finding lowest common multiple (L. C. M.)
  4. Multiplication By A Number Up To 2 Digits
    • multiply numbers up to:  4 digits by a 1-digit number  3 digits by a 2-digit number
  5. Division By A 1-Digit Number And By 10
    • divide numbers up to 4 digits by a 1-digit number and by 10
  6. Word Problems
    • solve up to 3-step word problems involving whole numbers
      • includes units of measure
      • includes checking reasonableness of answers

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Money and Measures

  1. Multiplication And Division Of Length, Mass, Volume And Time
    • Multiply and divide in compound units:  Length  Mass  Volume  Time
      • use whole numbers only
      • exclude seconds
      • numbers involved should be within easy manipulation
  2. Multiplication And Division Of Money
    • multiply and divide money in compound units using decimal notation
  3. Units Of Measure Of Volume: Cubic Centimetre, Cubic Metre
    • build solids with unit cubes and state their volumes
      • excludes conversion between m³ and cm³
    • visualise the relative sizes of 1 cubic metre and 1 cubic centimetre
  4. Volume Of A Cube/Cuboid And Liquid
    • use formula to find the volume of a cuboid
      • includes use of abbreviations: m³ and cm³
      • includes finding the volume of the solid made up of unit cubes of given dimension
      • excludes compound units
    • use formula to find volume of liquid in a rectangular container
      • excludes compound units
    • recognise the equivalence of 1 litre/1000 ml and 1000 cm³
      • includes conversions between , ml and cm³
  5. Area And Perimeter Of A Square, A Rectangle And Their Related Figures
    • find the area/perimeter of a figure made up of squares and/or rectangles
      • includes finding the area of a figure by subtraction of areas
    • find one dimension of a rectangle given the other dimension and:  its perimeter  its area
    • find the side of a square given:  its perimeter  its area
      • excludes use of square root sign
  6. Word Problems
    • solve word problems involving:  volume of solids/liquid  area and perimeter of squares and rectangles
      • excludes compound units

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Statistics

  1. Tables
    • complete a table from given information
      • includes collecting data and presenting the data in a table form
    • read and interpret tables
  2. Bar Graphs
    • complete a bar graph from given data
  3. Word Problems
    • solve problems using data presented in bar graphs and tables

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Fractions

  1. Addition And Subtraction
    • add and subtract:  like fractions  related fractions
      • denominators of given fractions should not exceed 12
      • excludes sums involving more than 2 different denominators
  2. Product Of A Proper Fraction And A Whole Number
    • recognise and name fractions as parts of a set of objects
    • calculate the product of a proper fraction and a whole number
  3. Mixed Numbers And Improper Fractions
    • express an improper fraction as a mixed number, and vice versa
      • includes expressing an improper fraction/mixed number in its simplest form
  4. Word problems
    • solve up to 2-step word problems involving fractions
      • includes using unitary method to find the ‘whole’ given a fractional part
      • excludes question such as ‘Express the number of girls as a fraction of the number of boys.’ as it will be dealt with under the topic ‘Ratio’

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Decimals

  1. Number Notation And Place Values
    • read and interpret decimals up to 3 decimal places
      • includes use of the number line to illustrate the concept of decimals
      • includes identifying the values of the digits in a decimal
      • Include sums such as the following
        (i) 0.125 =
        1
        10
        +
        2
        100
        +
        ?
        1000

        (ii) 0.125 =
        125
        ?

        (iii) 21.203 = 21 +
        ?
        1000
      • excludes 0.125 =
        1
        10
        +
        1
        50
        +
        ?
        200
    • compare and order decimals
  2. Addition And Subtraction
    • add and subtract decimals up to 2 decimal places
      • includes mental calculations involving addition and subtraction of 1-digit whole numbers/tenths and tenths
  3. Multiplication And Division
    • multiply and divide decimals up to 2 decimal places by a 1-digit whole number
      • includes division of whole number by whole number with decimal answers
      • includes rounding off answers to 2 decimal places
      • includes checking reasonableness of answers
    • carry out mental calculation within the multiplication tables
  4. Conversion Between Decimals And Fractions
    • express a decimal as a fraction, and vice versa
  5. Approximation And Estimation
    • round off decimals to:  the nearest whole number  1 decimal place  2 decimal places
      • includes units of measure
    • estimate the answers in calculations involving addition, subtraction and multiplication
      • includes checking reasonableness of answers
  6. Word Problems
    • solve up to 2-step word problems involving decimals
      • includes rounding off answers to a specified degree of accuracy
      • includes checking reasonableness of answers

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Geometry

  1. Perpendicular And Parallel Lines
    • identify perpendicular and parallel lines
      • includes use of the terms ‘vertical’ and ‘horizontal’
    • draw perpendicular and parallel lines using ruler and set squares
  2. Angles In Degrees
    • estimate size of angles and measure angles in degrees using a protractor
      • includes using notation such as ∠ABC and ∠x to name angles
      • excludes using variable such as x° to represent size of angle
      • excludes reflex angles
    • associate:
      1
      4
      turn/right angle with 90°
      1
      2
      turn with 180°
      3
      4
      turn with 270°
    • draw a given angle using a protractor
      • excludes drawing reflex angles
  3. Symmetry
    • recognise symmetric figures
      • includes identifying and visualising symmetry in the environment or in designs
      • excludes rotational symmetry
    • determine whether a straight line is a line of symmetry of a figure
      • excludes finding the number of lines of symmetry of a symmetric figure
    • complete a symmetric figure with respect to a given line of symmetry
  4. Geometrical Figures
    • identify and name the following figures:  rectangle  square  parallelogram  rhombus  trapezium
    • identify and name the following triangles:  isosceles  equilateral  right-angled
      • excludes use of the terms ‘scalene’, ‘acute’ and ‘obtuse’
  5. Properties Of A Square And A Rectangle
    • state and use properties of:  a square  a rectangle
      • includes finding angles and sides
      • excludes the term ‘diagonal’ and its related properties
  6. 2-D Representation Of A 3-D Solid
    • visualise cubes and cuboids from drawings
    • state the number of unit cubes that make up a solid
    • visualise and identify the new solid formed by increasing/ decreasing the number of cubes of a given solid drawn on an isometric grid.
      • excludes asking pupils to draw the solid on an isometric grid

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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