## Fourth and Fifth Forms Mathematics Syllabus

**Term I**

**Computation**: See CXC syllabus for details.

**Algebra I**: Directed numbers, substitution; simplifying algebraic terms; indices; factorization; operations; algebraic fractions; and direct and inverse variations.

**Geometry I**: Geometrical transformations — translation, reflection and rotation (congruence), and enlargement (similarity). Combination of transformations (including glide reflections). Pythagoras’ Theorem and distance formula.

**Trigonometry I**: Definitions of sine, cosine and tangent for right-angled triangles, and their use in calculations; the angle of elevation and depression, altitude and bearings. Solve word problems.

**Set Theory**: See CXC syllabus for details.

**Matrices**: See CXC syllabus for details. (Non-CXC students cover only compulsory topics.)

**Christmas Vacation (first week and for CXC students ONLY)**

**Vectors**: See CXC syllabus for details.

**Term II**

**Algebra II**: Changing the subject of the formula; equations, inequalities, simultaneous equations & word problems; solving quadratic equations; and set builder notation for expressing the solution set of equations.

**Geometry II**: Constructing angles (30̊, 45̊, 60̊, 75̊, 90̊, 105̊, 120̊, 135̊, 150̊), triangles and quadrilaterals; constructing the perpendicular bisector of a line; constructing a line perpendicular to another line from a point; and constructing parallel lines. Constructing inscribed circles (triangles only).

**Trigonometry II (CXC students)**: Sine and cosine formulae — simple practical applications (including three-dimensional shapes). Trigonometrical formulae for the area of a triangle.

**Relations, Functions & Graphs**: See CXC syllabus for details. (Non-CXC students cover only compulsory topics.)

**Statistics and Probability**: See CXC syllabus for details.

**Measurement**: See CXC syllabus for details.

**Easter Vacation (For CXC students ONLY)**

**Earth Geometry**: Calculating distances on the surface of the earth along the same lines of longitude or latitude.

**Linear Programming**: Use linear programming techniques to solve problems involving two variables.

**Circle Geometry**: Solve problems using theorems related to the properties of a circle.

**Term III**

**Vectors**: See CXC syllabus for details. (Non-CXC students cover only compulsory topics.)

**Number Theory (revision)**: See CXC syllabus for details

**Consumer Arithmetic (revision)**: See CXC syllabus for details.

**Revision**: Past examination papers.