Here is a summary of the G3 Secondary 2 Mathematics syllabus, organized by its three main strands: Number and Algebra, Geometry and Measurement, and Statistics and Probability.
Number and Algebra
- Ratio and Proportion:
- Map scales (distance and area).
- Direct and inverse proportions.
- Algebraic Expressions and Formulae:
- Expansion of products of algebraic expressions.
- Changing the subject of a formula.
- Simplifying expressions using standard algebraic identities:
- \((a+b)^2=a^2+2ab+b^2 \),
- \((a−b)^2= a^2 – 2ab + b^2 \),
- \(a^2−b^2=(a+b)(a−b)\).
- Factorization of quadratic expressions.
- Operations with algebraic fractions, including addition, subtraction, multiplication, and division.
- Functions and Graphs:
- Quadratic functions: Graphs, properties (e.g., maximum and minimum points, symmetry), and interpretations.
- Equations and Inequalities:
- Solving inequalities and representing solutions on the number line.
- Solving simultaneous linear equations using substitution, elimination, and graphical methods.
- Solving quadratic equations through factorization.
Geometry and Measurement
- Congruence and Similarity:
- Properties of congruent and similar figures.
- Solving problems involving similarity and proportional relationships in triangles and polygons.
- Pythagoras’ Theorem and Trigonometry:
- Applications of Pythagoras’ theorem.
- Trigonometric ratios (sine, cosine, tangent) for solving problems involving right-angled triangles.
- Mensuration:
- Volume and surface area of pyramids, cones, and spheres.
Statistics and Probability
- Data Handling and Analysis:
- Interpretation of dot diagrams, histograms, and stem-and-leaf diagrams.
- Calculation and interpretation of mean, mode, and median.
- Advantages, disadvantages, and misinterpretation of statistical representations.
- Probability:
- Concept of probability as a measure of chance.
- Calculating probabilities for single events.
Real-World Applications
The syllabus integrates concepts into real-world contexts, such as financial calculations, interpreting statistical data, and problem-solving involving geometry and algebra.