# 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 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

## 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 10: Circles I

• 10.1.1Parts of a Circle

### Topic 11: Transformations I

• 11.1 Understand the concept of transformation

## 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

### 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
• 2.6.2 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

• 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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