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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