# SPM Mathematics

## Form 4

### Chapter 1 Standard Form

• 1.4.1 Significant Figures
• 1.4.2 Standard Form

### Chapter 2 Quadratic Expressions and Equations

• 2.3.2 Concepts of Quadratic Expressions
• 2.4.3 Quadratic Factorisation
• 2.6.1 Quadratic Equations
• 2.6.2 Solving Quadratic Equations by Factorisation
• 2.6.3 Problem Solving Using Quadratic Equations

### Chapter 3 Set

• 2.1.1 Set and Its Notation
• 2.1.2 Types of Sets
• 2.1.3 Subsets
• 2.1.4 Subsets
• 2.1.5 Intersection of Sets
• 2.1.6 Union of Sets
• 2.1.7 Combined Operations on Sets

### Chapter 4 Mathematical Reasoning

• 3.1.1 Statements and Their Truth Values
• 3.1.2 The Quantifiers and Their Truth Values
• 3.1.3 Negations
• 3.1.4 Compound Statements
• 3.1.5 The Truth Value of a Compound Statement
• 3.1.6 Implication
• 3.1.7 The Converse of an Implication
• 3.1.8 Arguments
• 3.1.9 Reasoning

### Chapter 5 The Straight Line

• 2.8.1 Gradient of a Straight Line
• 2.8.2 Gradient of a Straight Line in Cartesian Co-ordinates
• 2.8.3 Intercepts
• 2.8.4 The Graph and Equation of a Straight Line
• 2.8.5 Finding the Equation of a Straight Line
• 2.8.6 Parallel Lines
• 2.8.7 Point of Intersection of Two Lines

### Chapter 6 Statistics

• 4.1.3 Frequency Table
• 4.1.4 Histogram
• 4.1.5 Frequency Polygon
• 4.1.6 Cumulative Frequency Diagram or Ogive
• 4.1.8 Mean and Mode of Grouped Data
• 4.1.9 Measures of Dispersion

### Chapter 7 Probability I

• 4.2.1 Experiments and Outcomes
• 4.2.2 Sample Space and Events
• 4.2.3 Introduction to Probability
• 4.2.4 Finding Probability Using Relative Frequency
• 4.2.5 Solving Problems Involving Probability I

### Chapter 8 Circle III

• 3.12.2 Tangents to a Circle
• 3.12.3 Constructing Tangents
• 3.12.4 Two Tangents to a Circle
• 3.12.5 Angles in Alternate Segments
• 3.12.6 Common Tangents

### Chapter 9 Trigonometry II

• 3.9.1 The Unit Circle SCORM package
• 3.9.2 Trigonometric Ratios in a Unit Circle
• 3.9.3 Special Angles
• 3.9.4 Reference Angles
• 3.9.5 Finding Angles
• 3.9.6 Solving Problems Involving Sine, Cosine, and Tangent
• 3.9.7 Graphs of Sine and Cosine Functions
• 3.9.8 Graph of the Tangent Function

### Chapter 10 Angles of Elevation and Depression

• 3.10.1 Angles of Elevation and Depression

### Chapter 11 Line and Planes in 3-Dimensions

• 3.2.1 Points, Lines, and Planes
• 3.4.1 The Orthogonal Projection of a Line on a Plane
• 3.4.2 Angles in 3-Dimensional Structures

## Form 5

### Chapter 1 Number Bases

• 1.7.1 Number Bases
• 1.7.2 Conversion of Number Bases

### Chapter 2 Graphs of Functions

• 2.14.1 Graphs of Linear and Constant Functions
• 2.14.2 Graphs of Quadratic and Cubic Functions
• 2.14.3 Graph of Reciprocal Functions
• 2.11.1 Linear Inequalities in Two Unknowns
• 2.11.2 Simultaneous Linear Inequalities

### Chapter 3 Transformations III

• 3.14.1 Combination of Two Isomeric Transformations
• 3.14.2 Combinations of Two Transformations
• 3.14.3 Equivalent Transformations

### Chapter 4 Matrices

• 2.15.1 Introduction to Matrices
• 2.15.2 Operations on Matrices
• 2.15.3 The Inverse Matrix
• 2.15.4 Solving Simultaneous Linear Equations by Using Matrices

### Chapter 5 Variations

• 2.7.1 Direct and Inverse Variations
• 2.7.2 Joint Variation

### Chapter 6 Gradient and Area Under a Graph

• 2.9.1 Gradient of a Graph
• 2.9.2 Area under a Graph

### Chapter 7 Probability II

• 4.2.6 Probability of the Complement of an Event
• 4.2.7 Probability of Combined Events
• 4.2.8 Solving Problems Involving Probability II

### Chapter 8 Bearing III

• 3.7.1 Bearing and Compass Directions
• 3.7.2 Solving Problems Involving Bearing

### Chapter 9 Earth as a Sphere

• 3.8.1 Longitude and Latitude
• 3.8.2 Locations of a Place
• 3.8.3 Distance along a Meridian and the Equator
• 3.8.4 Distance between Two Points along the Equator
• 3.8.5 Solving Problems Involving Points on the Surface of the Earth

### Chapter 10 Plans and Elevation

• 3.6.1 Plans and Elevations

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