# Singapore Mathematics - Secondary Two

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
Exclude:
• 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:
• probability as a measure of chance Spinner345
• probability of single events (including listing all the possible outcomes in a simple chance situation to calculate the probability)