Contents

### Form 4

#### Functions - Rational Numbers

- Relations
- Function

- Composite Functions
- Inverse Functions

#### Functions - Quadratic Equations

- The Quadratic Equation and Its Roots
- Completing the Square and the Quadratic Formula

- Forming Quadratic Equations from Given Roots
- The Discriminant of a Quadratic Equation

#### Functions - Quadratic Functions

- Quadratic Functions and Their Graphs
- Sketching the Graph of a Quadratic Function

- Quadratic Inequalities

#### Functions - Simultaneous Equations

- Simultaneous Equations

#### Functions - Indices and Logarithms

- Laws of Indices
- Laws of Logarithms

- Logarithms and Its Base
- Applications of Logarithms and Indices

#### Functions - Coordinate Geometry

- Distance and Division
- The Area of Polygons
- Intercept and Gradient of a Straight Line

- Equation of a Straight Line
- Parallel Lines and Perpendicular Lines
- Equation of Locus

#### Functions - Statistics

- Mean, Median and Mode for Ungrouped Data
- Mean, Median and Mode for Grouped Data
- Solving Problems Involving Measures of Central Tendency

- The Range and Interquartile Range
- The Variance and Standard Deviation
- Solving Problems Involving Measures of Dispersion

#### Functions - Circular Measures

- Radian and length of an arc
- Radian and perimeter of segments of circles

- Radian and Area of sector of a circle

#### Functions - Differentiation

- The Derivative of a Function
- Derivative of Polynomial Functions
- Differentiation Techniques
- Tangent and Normal at a Point on a Curve

- Maximum and Minimum Points of a Curve
- Rates of Change and Small Changes
- Second Order Differentiation

#### Functions - Solution of Triangles

- Sine Rule
- Cosine Rule

- Solving Problems Involving the Sine and Cosine Ruless
- Area of Triangles and Three Dimensional Objects

### Form 5

#### Progressions - Rational Numbers

- Arithmetic Progressions
- Sum of Arithmetic Progressions

- Geometric Progressions
- The Sum to the First n Terms of Geometric Progressions

#### Progressions - Linear Law

- Lines of Best Fit
- Reducing Non-linear Relations to Linear Form

- Application of Linear Law to Non-linear Relations

#### Progressions - Integration

- Indefinite Integrals
- Finding the Equations of Curves from Gradient Functions
- Integration by Substitution
- Definite Integrals

- Areas Under a Curve and The x-axis
- Areas Under a Curve and The y-axis or a Straight Line
- Volumes of Revolution

#### Progressions - Vectors

- Vectors
- Equal and Parallel Vectors
- Addition of Vectors

- Vectors in the Cartesian Plane
- Operations on Vectors
- Solving Problems Involving Vectors

#### Progressions - Trigonometric Functions

- Positive and Negative Angles
- The 6 Trigonometric Functions
- Trigonometric Functions
- Solving Trigonometric Equations

- Graphs of Sine Cosine and Tangent
- Solving Trigonometric Equations Using Drawn Graphs
- Trigonometric Identities
- Addition Formulae and Double-Angle Formulae

#### Progressions - Permutations and Combinations

- Permutations
- Permutations of n Different Objects Taken r at a Time for Given Conditions

- Combinations

#### Progressions - Probability

- Probability

- Mutually Exclusive and Independent Events

#### Progressions - Probability Distributions

- Binomial Distribution and Its Graph
- Solving Problems Involving Binomial Distributions
- Normal Distribution

- Standard Normal Distribution and The z-score
- Solving Problems Involving Normal Distributions

#### Progressions - Motion Along a Straight Line

- Displacement and Distance
- Velocity and Displacement

- Acceleration and Velocity
- Solving Problems Involving Motion Along a Straight Line

#### Progressions - Linear Programming

- Relations

- Solving Problems Involving Positive and Negative Fractions