SPM Math

Contents

Form 4

Chapter 1 - Standard Form

  • Significant Figures
  • Standard Form

Chapter 2 - Quadratic Expressions and Equations

  • Concepts of Quadratic Expressions
  • Quadratic Factorisation
  • Quadratic Equations
  • Solving Quadratic Equations by Factorisation
  • Problem Solving Using Quadratic Equations

Chapter 3 - Set

  • Set and Its Notation
  • Types of Sets
  • Subsets
  • Subsets
  • Intersection of Sets
  • Union of Sets
  • Combined Operations on Sets

Chapter 4 - Mathematical Reasoning

  • Statements and Their Truth Values
  • The Quantifiers and Their Truth Values
  • Negations
  • Compound Statements
  • The Truth Value of a Compound Statement
  • Implication
  • The Converse of an Implication
  • Arguments
  • Reasoning

Chapter 5 - The Straight Line

  • Gradient of a Straight Line
  • Gradient of a Straight Line in Cartesian Co-ordinates
  • Intercepts
  • The Graph and Equation of a Straight Line
  • Finding the Equation of a Straight Line
  • Parallel Lines
  • Point of Intersection of Two Lines

Chapter 6 - Statistics

  • Frequency Table
  • Histogram
  • Frequency Polygon
  • Cumulative Frequency Diagram or Ogive
  • Mean and Mode of Grouped Data
  • Measures of Dispersion

Chapter 7 - Probability I

  • Experiments and Outcomes
  • Sample Space and Events
  • Introduction to Probability
  • Finding Probability Using Relative Frequency
  • Solving Problems Involving Probability I

Chapter 8 - Circle III

  • Tangents to a Circle
  • Constructing Tangents
  • Two Tangents to a Circle
  • Angles in Alternate Segments
  • Common Tangents

Chapter 9 - Trigonometry II

  • The Unit Circle
  • Trigonometric Ratios in a Unit Circle
  • Special Angles
  • Reference Angles
  • Finding Angles
  • Solving Problems Involving Sine, Cosine, and Tangent
  • Graphs of Sine and Cosine Functions
  • Graph of the Tangent Function

Chapter 10 - Angles of Elevation and Depression

  • Angles of Elevation and Depression

Chapter 11 - Line and Planes in 3-Dimensions

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

Form 5

Chapter 1 - Number Bases

  • Number Bases
  • Conversion of Number Bases

Chapter 2 - Graphs of Functions

  • Graphs of Linear and Constant Functions
  • Graphs of Quadratic and Cubic Functions
  • Graph of Reciprocal Functions
  • Linear Inequalities in Two Unknowns
  • Simultaneous Linear Inequalities

Chapter 3 - Transformations III

  • Combination of Two Isomeric Transformations
  • Combinations of Two Transformations
  • Equivalent Transformations

Chapter 4 - Matrices

  • Introduction to Matrices
  • Operations on Matrices
  • The Inverse Matrix
  • Solving Simultaneous Linear Equations by Using Matrices

Chapter 5 - Variations

  • Direct and Inverse Variations
  • Joint Variation

Chapter 6 - Gradient and Area Under a Graph

  • Gradient of a Graph
  • Area under a Graph

Chapter 7 - Probability II

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

Chapter 8 - Bearing III

  • Bearing and Compass Directions
  • Solving Problems Involving Bearing

Chapter 9 - Earth as a Sphere

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

Chapter 10 - Plans and Elevation

  • Plans and Elevations