Mathematics

Form 1

Chapter 1 - Whole Numbers

  • 1.1.1 Whole Numbers
  • 1.2.1 Addition and Subtraction of Whole Numbers
  • 1.3.1 Multiplication and Division of Whole

Chapter 2 - Number Patterns and Sequences

  • 2.1 Number Patterns and Sequences
  • 2.2 Odd Numbers, Even Numbers and Prime Numbers
  • 2.1.1 Factors of Whole Numbers

Chapter 3 - Fractions

  • 3.1 Fractions

Chapter 4 - Decimals

  • 4.1 Decimals and Fractions
  • 4.2 Place Value and Value of Digit
  • 4.3 Addition and Subtraction of Decimals
  • 4.5 Combined Operations of Decimals

Chapter 5 - Percentage

Chapter 6 - Integers

Chapter 7 - Algebraic Expressions

Chapter 8 - Basic Measurements

Chapter 9 - Lines and Angles

Chapter 10 - Polygons

  • 10.3.1Area of Triangles, Parallelgrams, Kites and Trapeziums

Chapter 11 - Perimeter and Area

  • 11.1 Understand the Concept of Perimeter to Solve Problems
  • 11.2 Area of Rectangles

Chapter 12 - Solid Geometry

Form 2

Chapter 1 - Directed Numbers

  • 1.1.1 Multiplication and Division of Integers
  • 1.2.1 Combined Operations on Integers
  • 1.3.1 Extend the Concept of Integers to Fractions
  • 1.4.1 Extend the Concept of Integers to Decimals

Chapter 2 - Squares, Square Roots, Cube, Cube Roots

  • 2.1.1 Squares of Numbers
  • 2.2.1 Perfect Squares and Solving Problems on Squares of Numbers
  • 2.3.1 Square Roots
  • 2.4.1 Calculating Square Roots
  • 2.5.1 Cubes of Numbers
  • 2.6.1 Cube Roots
  • 2.7.1 Computations Involving Squares, Square Roots, Cubes and Cube Roots

Topic 3 - Algebraic Expressions II

  • 3.1.1 Unknowns and Coefficients in Algebraic Terms
  • 3.2.1 Multiplication and Division of Algebraic Terms
  • 3.3.1 Algebraic Expressions
  • 3.4.1 Simplifying and Evaluating Algebraic Expressions
  • 3.5.1 Algebraic Computations

Topic 4 - Linear Equations I

  • 4.1.1 - Equality
  • 4.2.1 - Linear Equation in One Unknown

Topic 5: Ratios, Rates and Proportions

  • 5.1 Ratio of Two Quantities
  • 5.2 Proportion
  • 5.3 Proportion

Topic 6: Pythagoras' Theorem

Topic 7: Geometrical Constructions

Topic 8: Coordinates

Topic 9: Loci In Two Dimensions

Topic 10: Circles I

  • 10.1.1Parts of a Circle

Topic 11: Transformations I

  • 11.1 Understand the concept of transformation

Topic 12: Solid Geometry II

Topic 13: Statistics I

Form 3

Topic 1 Lines and Angles II

  • 1.1 Angles Associated With Transversals and Parallel Lines
  • 1.2 Problem Solving Involving Angles Associated with Transversals

Topic 2 Polygons II

  • 2.1 Regular Polygons
  • 2.2 Exterior and Interior Angles of Polygons
  • 2.3 Problem Solving Involving Exterior and Inte-rior Angles of Polygons

Topic 3 Circles II

  • 3.1 Properties of Circles Involving Symmetry, Chords and Arcs
  • 3.2 Properties of Angles in Circles
  • 3.3 Cyclic Quadrilaterals

Topic 4 Statistics ll

  • 4.1 Pie Charts
  • 4.2 Mode, Median and Mean
  • 4.3 Solve Problems Involving Mode, Median and Mean

Topic 5 Indices

  • 5.1 Indices
  • 5.2 Negative Indices, Fractional Indices and Laws of Indices

Topic 6 Algebraic Expressions III

  • 6.1 Algebraic Expressions
  • 6.2 Algebraic Fractions

Topic 7 Algebraic Formulae

  • 7.1 Variables and Constants
  • 7.2 Algebraic Formulae

Topic 8 Solid Geometry III

  • 8.1 Circular Cylinders and Right Prisms
  • 8.2 Right Pyramids and Right Circular Cones
  • 8.3 Spheres and Composite Solids

Topic 9 Scale Drawings III

  • 9.1 Scale Drawings
  • 9.2 Problem Solving Involving Scale Drawings

Topic 10 Transformations II

  • 10.1 Similarity
  • 10.2 Enlargement

Topic 11 Linear Equations II

  • 11.1 Linear Equation in Two variables
  • 11.2 Simultaneous Linear Equations In Two Variables

Topic 12 Linear Inequalities

  • 12.1 Inequalities
  • 12.2 Linear Inequalities In One Unknown
  • 12.3 Computation on Inequalities
  • 12.4 Inequalities in One Variable
  • 12.5 Simultaneous Linear Inequalities in One Variable

Topic 13 Graphs of Functions

  • 13.1 Functions
  • 13.2 Graphs of Functions

Topic 14 Ratio, Rate and Proportion II

  • 14.1 Rate
  • 14.2 Speed and Average Speed
  • 14.3 Acceleration

Topic 15 Trigonometry

  • 15.1 Sine, Cosine and Tangent of an Acute Angle
  • 15.2 The Values of Sine, Cosine and Tangent
  • 15.3 Problem Solving Involving Trigonometric Ratios

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

Form 4

Chapter 1: Functions

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

Chapter 2: Quadratic Equations

  • 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

Chapter 3: Quadratic Functions

  • A3.3.1Quadratic Functions and Their Graphs
  • A3.3.2Sketching the Graph of a Quadratic Function
  • A3.3.3Quadratic Inequalities

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
  • G2.4.3 Addition of 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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