Topic/Sub-topic Content Learning Outcomes
1 Fractions
1.1 Four operations Include:
  • Include division of a whole number/proper fraction by a proper fraction without using calculators
  • division of an improper fraction/mixed number by a whole number/proper fraction,
  • division by an improper fraction/mixed number.  
2 Percentages
2.1 Percentage   Include:
  • finding the whole given a part and the percentage,
  • finding percentage increase/decrease,
  • solving word problems involving percentage.
  • finding percentage profit/loss,  
3 Ratios
3.1 Ratio   Include:
  • expressing one quantity as a fraction of another, given their ratio, and vice versa,
  • finding how many times one quantity is as large as another, given their ratio, and vice versa,
  • expressing one quantity as a fraction of another given the two quantities,
  • finding the whole/ one part when a whole is divided into parts in a given ratio,
  • solving word problems involving 2 pairs of ratios.
4 Speed
4.1 Speed   Include:
  • concepts of speed and average speed,
  • relationship between distance, time and speed
    • Distance = Speed × Time,
    • Speed = Distance ÷ Time,
    • Time = Distance ÷ Speed,
  • calculation of speed, distance or time given the other two quantities,
  • writing speed in different units such as km/h, m/min, m/s and cm/s,
  • solving up to 3-step word problems involving speed and average speed
  • conversion of units, e.g. km/h to m/min
5 Measurement
5.1 Area and circumference of a circle Include:
  • use of formulae to calculate the area and circumference of a circle,
  • finding the area and perimeter of
    • semicircle (half circle)
    • quarter circle
  • solving word problems involving area and perimeter.
  • finding the radius/ diameter of a circle given its area or circumference.
5.2 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, triangle, semicircle and quarter circle   

5.3 Volume of cube and cuboid Include:
  • finding one dimension of a cuboid given its volume and the other dimensions,
  • finding the length of one edge of a cube given its volume,
  • finding the height of a cuboid given its volume and base area,
  • finding the area of a face of a cuboid given its volume and one dimension,
  • use of the symbols and \sqrt{} 3\sqrt{}
  • solving word problems involving volume of a cube/ cuboid.
6 Geometry
6.1 Geometrical figures Include:
  • finding unknown angles in geometrical figures involving square, rectangle, parallelogram, rhombus, trapezium and triangle
6.2 Nets Include:
  • 2-D representation of cube, cuboid, cone, cylinder, prism and pyramid,
  • identifying nets of the following solids
    • cube,
    • cuboid,
    • prism,
    • pyramid,
  • identifying the solid which can be formed by a given net,
  • making 3-D solids from given nets.
  • nets of cylinder and cone
7.1 Pie charts Include:
  • reading and interpreting pie charts,
  • solving 1-step problems using information presented in pie charts.
  • use of degrees for calculation.
8 Algebra
8.1 Algebraic expressions in one variable Include:
  • representation of an unknown number using a letter,
  • simple algebraic expressions such as
  • y ± 2, 6 ± y , y + y, 3y
    • \frac{y}{2} , \frac{3 \pm 5}{y}
  • interpreting
    • 3y as y + y + y or 3 × y
    • \frac{y}{2} as y ÷ 2 or \frac{1}{2} \times y
    • \frac{3 \pm 5}{y} as (3 ± y) ÷ 5 or \frac{1}{5}\times (3 ± y)
  • simplification of algebraic expressions,
  • evaluation of simple algebraic expressions by substitution,
  • solving word problems involving algebraic expressions.
  • evaluation of expressions involving variable in the denominator such as , 1x.

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Page last modified on January 11, 2009, at 03:36 PM