## Form 4

### Chapter 1: Functions

• A1.1.1Relations
• A1.1.2Function
• A1.1.3Composite Functions
• A1.1.4Inverse Functions

• A2.2.1The Quadratic Equation and Its Roots
• A2.2.2Completing the Square and the Quadratic Formula
• A2.2.3Forming Quadratic Equations from Given Roots
• A2.2.4The Discriminant of a Quadratic Equation

• A3.3.1Quadratic Functions and Their Graphs
• A3.3.2Sketching the Graph of a Quadratic Function

### Chapter 4: Simultaneous Equations

• A4.4.1Simultaneous Equations

### Chapter 5: Indices and Logarithms

• A5.5.1Laws of Indices
• A5.5.2Laws of Logarithms
• A5.5.3Logarithms and Its Base
• A5.5.4Applications of Logarithms and Indices

### Chapter 6: Coordinate Geometry

• G1.6.1Distance and Division
• G1.6.2The Area of Polygons
• G1.6.3Intercept and Gradient of a Straight Line
• G1.6.4Equation of a Straight Line
• G1.6.5Parallel Lines and Perpendicular Lines
• G1.6.6Equation of Locus

### Chapter 7: Statistics

• S1.7.1Mean, Median and Mode for Ungrouped Data
• S1.7.2Mean, Median and Mode for Grouped Data
• S1.7.3Solving Problems Involving Measures of Central Tendency
• S1.7.4The Range and Interquartile Range
• S1.7.5The Variance and Standard Deviation
• S1.7.6Solving Problems Involving Measures of Dispersion

### Chapter 8: Circular Measures

• T1.8.1Radian and length of an arc
• T1.8.2Radian and perimeter of segments of circles
• T1.8.3Radian and Area of sector of a circle

### Chapter 9: Differentiation

• C1.9.1The Derivative of a Function
• C1.9.2Derivative of Polynomial Functions
• C1.9.3Differentiation Techniques
• C1.9.4Tangent and Normal at a Point on a Curve
• C1.9.5Maximum and Minimum Points of a Curve
• C1.9.6Rates of Change and Small Changes
• C1.9.7Second Order Differentiation

### Chapter 10: Solution of Triangles

• AST1.10.1Sine Rule
• AST1.10.2Cosine Rule
• AST1.10.3Solving Problems Involving the Sine and Cosine Ruless
• AST1.10.4Area of Triangles and Three Dimensional Objects

## Form 5

### Chapter 1: Progressions

• 6.1.1 Arithmetic Progressions
• A6.1.2 Sum of Arithmetic Progressions
• A6.1.3 Geometric Progressions
• A6.1.4 The Sum to the First n Terms of Geometric Progressions

### Chapter 2: Linear Law

• A7.2.1 Lines of Best Fit
• A7.2.2 Reducing Non-linear Relations to Linear Form
• A7.2.3 Application of Linear Law to Non-linear Relations

### Chapter 3: Integration

• C2.3.1 Indefinite Integrals
• C2.3.2 Finding the Equations of Curves from Gradient Functions
• C2.3.3 Integration by Substitution
• C2.3.4 Definite Integrals
• C2.3.5 Areas Under a Curve and The x-axis
• C2.3.6 Areas Under a Curve and The y-axis or a Straight Line
• C2.3.7 Volumes of Revolution

### Chapter 4: Vectors

• G2.4.1 Vectors
• G2.4.2 Equal and Parallel Vectors
• G2.4.5 Vectors in the Cartesian Plane
• G2.4.6 Operations on Vectors
• G2.4.7 Solving Problems Involving Vectors

### Chapter 5: Trigonometric Functions

• T2.5.1 Positive and Negative Angles
• T2.5.2 The 6 Trigonometric Functions
• T2.5.3 Trigonometric Functions
• T2.5.4 Solving Trigonometric Equations
• T2.5.5 Graphs of Sine Cosine and Tangent
• T2.5.6 Solving Trigonometric Equations Using Drawn Graphs
• T2.5.7 Trigonometric Identities
• T2.5.8 Addition Formulae and Double-Angle Formulae

### Chapter 6: Permutations and Combinations

• S2.6.1 Permutations
• S2.6.2 Permutations of n Different Objects Taken r at a Time for Given Conditions
• S2.6.3 Combinations

### Chapter 7: Probability

• S3.7.1 Probability
• S3.7.2 Mutually Exclusive and Independent Events

### Chapter 8: Probability Distributions

• S4.8.1 Binomial Distribution and Its Graph
• S4.8.2 Solving Problems Involving Binomial Distributions
• S4.8.3 Normal Distribution
• S4.8.4 Standard Normal Distribution and The z-score
• S4.8.5 Solving Problems Involving Normal Distributions

### Chapter 9: Motion Along a Straight Line

• AST2.9.1 Displacement and Distance
• AST2.9.2 Velocity and Displacement
• AST2.9.3 Acceleration and Velocity
• AST2.9.4 Solving Problems Involving Motion Along a Straight Line

### Chapter 10: Linear Programming

• ASS2.10.1 Linear Inequalities
• ASS2.10.2 Solving Problems Involving Linear Programming

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