Topic/Sub-topic Content Learning Outcomes
1 Numbers and Algebra
1.1 Numbers and the four operations Include: none
1.2 Ratio, rate and proportion Include:
  • map scales (distance and area)  
  • direct and inverse proportion
1.3 Percentage Include: none
1.4 Speed Include: none
1.5 Algebraic representation and formulae Include: none
1.6 Algebraic manipulation Include:
  • expansion of the product of algebraic expressions  
  • changing the subject of a formula  
  • finding the value of an unknown quantity in a given formula  
  • recognising and applying the special products
  • factorisation of linear algebraic expressions of the form
  • multiplication and division of simple algebraic fractions, e.g.
    • \left( {{{3a} \over {4b^2 }}} \right)\left( {{{5ab} \over 3}} \right)
    • \left( {{{3a} \over 4}} \right) \div \left( {{{9a^2 } \over {10}}} \right)
  • addition and subtraction of algebraic fractions with linear or quadratic denominator, e.g
    • {1 \over {x - 2}} + {2 \over {x - 3}}
    • {1 \over {x^2 - 9}} + {2 \over {x - 3}}
    • {1 \over {x - 3}} + {2 \over {(x - 3)^2 }}
1.7 Functions and graphs Include:
1.8 Solutions of equations and inequalities Include:
1.9 Set language and notation Include:
  • use of set language and the following notation:
Union of A and B A \cup B   
Intersection of A and B A \cap B  
Number of elements in set A   n(A)
“… is an element of …” \in
“… is not an element of …” \notin
Complement of set A A’    
The empty set \emptyset
Universal set
A is a subset of B A \subseteq B   
A is a proper subset of B A \subset B  
A is a not a subset of B A \not\subseteq B    
A is a not a proper subset of B A \not\subset B
  • union and intersection of two sets  
  • Venn diagrams
  • use of n(A \cup B) = n(A) + n(B) - n(A \cap B)
  • use of cases involving three or more sets
2 Geometry and Measurement
2.1 Angles, triangles and polygons Include:none
2.2 Congruence and similarity Include:
  • congruent figures as figures that are identical in shape and size  
  • matching sides and angles of two congruent polygons  
  • similar figures as figures that have the same shape but different sizes  
  • properties of similar polygons:   
    • corresponding angles are equal   
    • corresponding sides are proportional  
  • enlargement and reduction of a plane figure by a scale factor  
  • scale drawings  
  • solving simple problems involving similarity and congruence
2.3 Pythagoras' theorem Include:
2.4 Mensuration Include:
  • volume and surface area of pyramid, cone and sphere
3 Statistics and Probability
3.1 Data handling Include: none
3.2 Data Analysis Include:
  • interpretation and analysis of:   
    • dot diagrams   
    • stem-and-leaf diagrams  
  • mean, mode and median as averages  
  • purposes and use of mean, mode and median  
  • calculation of the mean for grouped data
3.3 Probability Include:


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Page last modified on January 06, 2009, at 01:10 PM