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 5

Whole Numbers Mensuration Statistics
Fractions Decimals Geometry
Average, Rate And Speed Ratio And Proportion Percentages

Whole Numbers

  1. Number Notation And Place Values
    • read and write numbers up to 10 million in numerals and in words
  2. Multiplication And Division
    • multiply and divide numbers up to 4 digits by a 2-digit whole number
    • multiply and divide numbers by tens, hundreds and thousands
  3. Approximation And Estimation
    • round off numbers to the nearest 1,000
      • includes use of the approximation symbol ‘≈’
      • estimate the answers in calculations involving addition, subtraction and multiplication
  4. Order Of Operations
    • state the order of operations and carry out combined operations involving the 4 operations
      • includes use of brackets
  5. Word Problems
    • solve word problems involving whole numbers
      • includes rounding off answers to a specified degree of accuracy

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  1. Conversion Of Measurements Involving Decimals And Fractions
    • convert measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa
      • excludes measurements involving decimals for time
      • numbers involved should be within easy manipulation
  2. Volume Of A Cube/Cuboid
    • find one dimension of a cuboid given its volume and other dimensions
      • excludes finding the area of a face given its volume and one dimension
    • find the edge of a cube given its volume
      • excludes use of cube-root sign
    • solve up to 2-step word problems involving volume of a cube/cuboid and liquid
      • includes problems involving the height of water level in rectangular tank
      • excludes finding volume of solid by the volume of liquid displaced
  3. Area Of A Triangle
    • use formula to find the area of a triangle
      • includes identifying the base and its corresponding height
      • excludes finding the base or height of a triangle given its area

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  1. Line Graphs
    • read and interpret line graphs
      • excludes distance - time graphs
    • solve problems using information presented in line graphs

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  1. Addition And Subtraction
    • add and subtract:  mixed numbers  unlike fractions
      • includes listing of equivalent fractions to identify fractions with common denominator
      • denominators of given fractions should not exceed 12
  2. Product Of Fractions
    • calculate the product of 2 fractions
      • excludes mixed numbers
  3. Concept Of Fraction As Division
    • associate a fraction with division
      • includes conversion between fractions and decimals
  4. Division Of A Proper Fraction By A Whole Number
    • divide a proper fraction by a whole number
  5. Word Problems
    • solve word problems involving fractions

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  1. Multiplication And Division
    • multiply decimals up to 2 decimal places by a 2-digit whole number
      • includes checking reasonableness of answers by estimation
    • multiply and divide decimals up to 3 decimal places by tens, hundreds and thousands
      • excludes cases where the first non-zero digit in the answer is at the 4th decimal place such as 0.12 ÷ 1000 = 0.00012
    • solve word problems involving decimals
      • includes rounding off answers to a specified degree of accuracy
      • includes checking reasonableness of answers

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  1. Angles
    • identify and name:  angles on a straight line  angles at a point  vertically opposite angles
      • excludes angles between parallel lines such as alternate angles, interior angles, corresponding angles
      • excludes use of the terms ‘complementary’ and ‘supplementary’
    • recognise that angles on a straight line add up to 180° and angles at a point add up to 360°
    • recognise that vertically opposite angles are equal
    • find unknown angles involving:  angles on a straight line  angles at a point  vertically opposite angles
  2. 8-Point Compass
    • tell direction in relation to the 8-point compass
  3. Properties Of A Parallelogram, A Rhombus, A Trapezium And A Triangle
    • state and find unknown angles involving the properties of:  a parallelogram  a rhombus  a trapezium
      • excludes the term ‘diagonal’ and its related properties
      • excludes additional construction of lines
    • recognise and use the property that the angle sum of a triangle is 180°
      • excludes problems where the skill of solving equations is required
    • state and find unknown angles involving the properties of:  an isosceles triangle  an equilateral triangle  a right-angled triangle
    • recognise that the exterior angle of a triangle is equal to the sum of the interior opposite angles
  4. Geometrical Construction
    • draw squares, rectangles, parallelograms, rhombuses and triangles from given dimensions
      • use ruler, protractor and set squares
      • excludes cases where compasses are required
  5. Tessellation
    • recognise shapes that can tessellate
    • identify the shape used in a tessellation
    • make different tessellations with a given shape
    • draw a tessellation on dot paper

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Average, Rate And Speed

  1. Average
    • calculate the average
    • find the total amount given the average and the number of items
  2. Rate
    • calculate rate
  3. Word Problems
    • solve up to 3-step word problems involving average and rate

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Ratio And Proportion

  1. Ratio
    • use ratio to show the relative sizes of:  2 quantities  3 quantities
      • introduce the sign ‘ : ’
    • interpret a given ratio:  a : b  a : b : c
      • includes sums such as the following:
        (i) 1 : 2 = ? : 8
        (ii) 2 : ? = 1 : 4
    • recognise equivalent ratios
    • reduce a given ratio to its lowest terms
      • includes reducing a : b : c to its lowest terms
    • solve up to 2-step word problems involving ratio

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  1. Concept Of Percentage
    • change fractions and decimals to percentages, and vice versa
      • includes use of the percentage notation ‘%’
      • includes recognising the equivalence between percentage and fraction/decimal
    • express a part of a whole as a percentage
  2. Percentage Of A Quantity
    • calculate part of a whole given the percentage and the whole
  3. Word Problems
    • solve up to 2-step word problems involving percentage
      • excludes use of the terms ‘profit’ and ‘loss’

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

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