Topic/Sub-topic Content Learning Outcomes
1 Whole numbers
2 Fractions
2.1 Concepts of fraction as division Include:
  • association of a fraction with division,
  • conversion between fractions and decimals.  
2.2 Division Include:
  • division of a whole number/proper fraction by a whole number/proper fraction,
  • solving up to 3-step word problems involving the 4 operations.  
  • division of an improper fraction/mixed number by a whole number/proper fraction,
  • division by an improper fraction/mixed number.  
3 Decimals
3.1 Multiplication and division   Include:
  • multiplication and division of decimals (up to 2 decimal places) by a 1-digit whole number without using calculators,
  • division of a whole number by a whole number with answer in decimal form,
  • solving up to 3-step word problems involving the 4 operations (including problems involving money),
  • rounding off answers to a specified degree of accuracy,
  • estimation of answers in calculations,
  • checking reasonableness of answers.
  • multiplication and division by a decimal  
4 Percentages
4.1 Percentage   Include:
  • 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.
  • finding percentage profit/loss,
  • finding percentage increase/ decrease,
  • 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.”  
5 Ratios
6 Measurement
6.1 Area of a triangle Include:
  • identifying the base of a triangle and its corresponding height,
  • use of formula to calculate the area of a triangle.
  • finding the base/ height of a triangle given its area.
6.2 Area and perimeter of composite figure Include:

finding the area and perimeter of a figure made up of some of the following shapes: square, rectangle and triangle.   

6.3 Volume of cube and cuboid Include:
  • 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.
7 Geometry
7.1 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 180o,
  • drawing a triangle from given dimensions using ruler, protractor and set squares
  • geometrical construction where the use of compasses is required,
  • exterior angles.
7.2 Angles in geometric figures Include:
  • finding unknown angles in geometrical figures using the properties of:
    • angles on a straight line,
    • angles at a point,
    • vertically opposite angles,
    • a square, a rectangle and a triangle.
  • properties related to diagonals of square and rectangle,
  • finding angles involving additional construction of lines
7.3 Rectangle and square Include:
  • properties of rectangle and square,
  • drawing a rectangle/square from given dimensions using ruler, protractor and set squares
  • the term ‘diagonal’ and its related properties,
8.1 Pie charts Include:
  • reading and interpreting pie charts,
  • solving 1-step problems using information presented in pie charts.
  • use of degrees for calculation.

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Page last modified on January 11, 2009, at 03:00 PM