Unit | Key Topics Covered | Concept Focus |
Pure Arithmetic | Rational and Irrational Numbers, Surds, and Rationalisation of Denominators. | Understanding the Real Number System. |
Commercial Mathematics | Compound Interest (using the formula A=P(1+r/100)n), including half-yearly compounding, Rate of Growth/Depreciation. | Financial calculations and application of exponents. |
Algebra | Expansions of (a±b)2/(a±b)3, Factorisation ((a2−b2),(a3±b3)), Simultaneous Linear Equations (by substitution, elimination, and cross-multiplication), Indices/Exponents, and Logarithms. | Mastering algebraic manipulation, formula application, and solving simultaneous equations. |
Geometry | Congruency (SSS, SAS, AAS, RHS), Triangles (properties of equal sides/angles, inequalities), Pythagoras Theorem (proof and simple applications), Rectilinear Figures (properties of Quadrilaterals, Parallelograms, etc.), and Basic Constructions. | Proof-based learning and deductive reasoning. |
Statistics | Introduction to Data, Frequency Distribution, Tabulation, Drawing Histograms, Calculating Mean and Median for ungrouped data. | Data analysis and graphical representation. |
Mensuration | Area/Perimeter of various plane figures (triangle, parallelogram, trapezium), Surface Area and Volume of Cubes and Cuboids (including cross-section problems). | Spatial reasoning and formula application. |
Trigonometry & Coordinate Geometry | Trigonometric Ratios (Sine, Cosine, Tangent, and reciprocals), Ratios of Standard Angles (0∘,30∘,45∘,60∘,90∘), Simple 2-D problems. Plotting points, Cartesian Plane, and the Distance Formula. | Introduction to advanced geometry and function concepts. |