Sec 2 G3 Mathematics topics
Browse the MOE topic list. Open a topic to see its scope and related guides.
MOE: topic names and scope by level.
Mentora: related guides may cover later material too.
Number and Algebra
N2Ratio and proportion
Map scales for distance and area; direct and inverse proportion.
Related Mentora guides
N5Algebraic expressions and formulae
Products of expressions; changing the subject and evaluating formulae; algebraic identities; grouping and quadratic factorisation; multiplication, division, addition and subtraction of algebraic fractions.
Related Mentora guides
Each linked guide covers selected parts rather than the whole MOE topic.
N6Functions and graphs
Quadratic functions and graphs, including the effect of the coefficient of x², maximum or minimum points and symmetry.
Related Mentora guides
N7Equations and inequalities
Linear inequalities and number-line solutions; graphs of linear equations in two variables; simultaneous linear equations by substitution, elimination and graph; quadratic equations by factorisation; and formulating a pair of equations for a problem.
Related Mentora guides
Each existing guide covers one selected part of this MOE topic.
Geometry and Measurement
G1Angles, triangles and polygons
Special quadrilaterals and regular polygons; symmetry and classification; interior and exterior angle sums; and simple geometric constructions.
Related Mentora guides
G2Congruence and similarity
Congruent and similar figures, corresponding sides and angles, enlargement and reduction, and problems involving congruence or similarity.
Related Mentora guides
G4Pythagoras’ theorem and trigonometry
Use Pythagoras’ theorem and acute-angle sine, cosine and tangent ratios to find unknown sides or angles in right-angled triangles.
Related Mentora guides
The trigonometry guide continues into later triangle applications; this Sec 2 mapping points only to right-triangle methods.
G5Mensuration
Volume and surface area of pyramids, cones and spheres.
Related Mentora guides
Statistics and Probability
S1Data handling and analysis
Dot diagrams, histograms and stem-and-leaf diagrams; mean, mode and median; interpreting grouped data and calculating a grouped mean; selecting and critiquing displays.
Related Mentora guides
The existing guide also contains measures of spread and later statistics not listed in this level scope.
S2Probability
Probability as a measure of chance and probability of single events, including listing possible outcomes in a simple situation.
Related Mentora guides
Use the single-event material; the existing guide also covers combined events from later scope.
How topics connect
Mentora revision suggestions, not an MOE teaching sequence.
- N2 → G2: Proportion and scale factors support scale drawings and similarity.
- N5 → N7: Expansion, factorisation and algebraic fractions feed into equation methods.
- N7 → N6: A pair of linear equations meets at a graph intersection; quadratic equations connect to quadratic graphs.
- G2 → G4: Similarity and corresponding sides prepare students to reason about right-triangle ratios.
- G4 → G5: A missing height or side can be found before an area or volume calculation.
- S1 → S2: Both topics use counts and representations, but observed data and theoretical chance answer different questions.
Practise a focused skill
Curriculum source and scope
Topic codes and level groupings follow the MOE G2 and G3 Mathematics Syllabuses. MOE publishes this scope by secondary level; it is not a school-by-school term calendar. Class teaching order can vary. Reviewed 2026-09-26.