Topic/Sub-topic Content Learning Outcomes
1 Whole numbers
1.1 Numbers up to 10 million Include:
  • reading and writing numbers in numerals and in words,
  • rounding off numbers to the nearest 1000.

 

1.2 Four operations   Include:
  • 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.  
1.3 Order of operations Include:
  • combined operations involving the 4 operations,
  • use of brackets.
2 Fractions
2.1 Concepts of fraction as division Include:
  • association of a fraction with division,
  • conversion between fractions and decimals.
2.2 Four operations Include:
  • addition and subtraction of proper fractions without using calculators,
  • addition and subtraction of mixed numbers,
  • multiplication of a proper fractions and a proper/ improper fraction without using calculators,
  • multiplication of an improper fraction and an 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.
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/ proper fraction.
  • division by an improper fraction/ mixed number  

(Denominators of given fractions should not exceed 12, for calculations without using calculators)

3 Decimals
3.1 Four operations   Include:
  • 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:
  • 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.”
4 Percentages
5 Ratios
5.1 Ratio   Include:
  • 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.
6 Measurement
6.1 Length, mass and volume Include:
  • 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
6.2 Area of triangle Include:
  • 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.   
6.3 Volume of cube and cuboid Include:
  • 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 l, ml and cm^3 ,
  • solving up to 3-step word problems involving the volume of a cube/ cuboid.
Exclude:
  • conversion between cm^3 and m^3
7 Geometry
7.1 Angles Include:
  • using notation such as ∠ABC and ∠x to name angles,
  • estimation and measurement of angles in degrees,
  • drawing an angle using a protractor,
  • use of the following properties to find unknown angles
    • angles on a straight line,
    • angles at a point,
    • vertically opposite angles
7.2 Triangle Include:
  • 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
7.3 Paralelogram, rhombus and trapezium Include:
  • 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.  
8 DATA ANALYSIS
8.1 Average of a set of data Include:
  • 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.
Source: http://www.moe.gov.sg/education/syllabuses/sciences/files/maths-primary-2007.pdf

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Page last modified on January 11, 2009, at 03:17 PM