Outline of how students progress in each main topic from Secondary 1 to Secondary 4. The topics are grouped by the three main strands: Number and Algebra, Geometry and Measurement, and Statistics and Probability.
Number and Algebra
Secondary 1
- Numbers and Operations
- Prime factorization, HCF, LCM, and roots
- Negative numbers, integers, rational and real numbers
- Approximation and estimation
- Ratio and Proportion
- Basic concepts and problems
- Percentage
- Increasing/decreasing values, reverse percentages
- Rate and Speed
- Average and constant speeds
- Algebraic Expressions and Formulae
- Simplifying, evaluating, and translating expressions
- Functions and Graphs
- Linear functions and gradients
- Equations and Inequalities
- Solving and formulating linear equations
Secondary 2
- Ratio and Proportion
- Direct and inverse proportion, map scales
- Algebraic Expressions and Formulae
- Expansion, factorization, and quadratic expressions
- Functions and Graphs
- Quadratic functions and their graphs
- Equations and Inequalities
- Solving inequalities, simultaneous equations, and quadratic equations
Secondary 3 & 4
- Numbers and Operations
- Standard form, laws of indices
- Functions and Graphs
- Sketching quadratic and power functions
- Equations and Inequalities
- Quadratic equations, completing the square, and fractional equations
- Set Language and Notation
- Set operations and Venn diagrams
- Matrices
- Operations and applications
Geometry and Measurement
Secondary 1
- Angles, Triangles, and Polygons
- Angle properties, symmetry in polygons
- Mensuration
- Area of parallelograms and trapeziums, volume of prisms and cylinders
Secondary 2
- Congruence and Similarity
- Congruent and similar figures, proportionality
- Pythagoras’ Theorem and Trigonometry
- Use of Pythagoras’ theorem, trigonometric ratios
- Mensuration
- Volume of pyramids, cones, and spheres
Secondary 3 & 4
- Congruence and Similarity
- Scale drawings, ratios of areas and volumes
- Properties of Circles
- Tangents, angle properties
- Pythagoras’ Theorem and Trigonometry
- Extension to obtuse angles, sine and cosine rules
- Mensuration
- Arc length, sector area, and radian measures
- Coordinate Geometry
- Gradient, length, and equations of straight lines
- Vectors in Two Dimensions
- Representation, magnitude, and operations
Statistics and Probability
Secondary 1
- Data Handling and Analysis
- Basics of tabulation and interpretation of graphs (e.g., bar graphs, line graphs)
Secondary 2
- Data Handling and Analysis
- Advanced statistical diagrams (e.g., histograms, stem-and-leaf plots)
- Measures of central tendency (mean, mode, median)
- Probability
- Basic probability of single events
Secondary 3 & 4
- Data Handling and Analysis
- Quartiles, percentiles, cumulative frequency diagrams
- Measures of spread (range, standard deviation)
- Probability
- Combined events, tree diagrams, and probability rules (addition and multiplication)