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Form 4 Additional Mathematics (Add Maths)

Form 4 Additional Mathematics (Add Maths)
This iTTV DVD ROM product cover one academic year lesson in video format. It includes 11 Chapters and 91 Lessons. Revision included where applicable.

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Ministry of Education's (MOE) SPM Syllabus - Form 4 Additional Mathematics (Add Maths)


Chapter 01 : Functions

  • Lesson 01.1 : Introducing Set Notation, Representing a Relation, Determining Domain, Codomain, Object, Image and Range of a Relation
  • Lesson 01.2 : Classifying the Types of Relation
  • Lesson 01.3 : Recognising Function as a Special Relation and Expressing Functions using Function Notation
  • Lesson 01.4 : Expressing Functions Using Function Notation and Determining Domain, Object, Image and Range of a Function
  • Lesson 01.5 : Determining Domain, Object, Image and Range of a Function and Determining the Image of a Function Given the Object and Vice Versa
  • Lesson 01.6 : Determining the Composite of Two Functions
  • Lesson 01.7 : Determining the Image or Object of a Composite Function, Determining One of the Functions in a Given Composite Function, Inverse Functions, Determining the Object by Inverse Mapping
  • Lesson 01.8 : Determining the Inverse Function and Determining Condition For the Existence of an Inverse Function

Chapter 02 : Quadratic Equations

  • Lesson 02.1 : Recognising General Form of a Quadratic Equation, Determining the Roots of a Quadratic Equation (a) By substitution, (b) By inspection
  • Lesson 02.2 : Determining the Roots of a Quadratic Equation by Trial and Improvement Method Solving Quadratic Equations (a) By Factorization
  • Lesson 02.3 : Solving Quadratic Equations (b) By Using the Quadratic Formula (c) By Completing the Square
  • Lesson 02.4 : Forming a Quadratic Equation From (a) Given Roots, (b) A Given Quadratic Equation
  • Lesson 02.5 : Determining the Types of Roots of Quadratic Equations
  • Lesson 02.6 : Solving Problems Involving the Use of the Discriminant

Chapter 03 : Quadratic Functions

  • Lesson 03.1 : Recognising Quadratic Functions, Plotting the Graphs of Quadratic Functions
  • Lesson 03.2 : Recognising Shapes of Graphs of Quadratic Functions
  • Lesson 03.3 : Relating the Position of the Graphs of a Quadratic Functions with Respect to the x-axis
  • Lesson 03.4 : Determining the Minimum or the Maximum Value of a Quadratic Function by Completing the Square
  • Lesson 03.5 : Determining the Minimum or the Maximum Value of a Quadratic Function by Completing the Square (Part 2)
  • Lesson 03.6 : Sketching the Graph of a Quadratic Function
  • Lesson 03.7 : Determining the Range of Values of x that Satisfies a Quadratic Inequality

Chapter 04 : Simultaneous Equations

  • Lesson 04.1 : Solving Simultaneous Equations in Two Unknowns : One Linear Equation and One Non-Linear Equation - Solving simultaneous Equations Using the Substitution Method
  • Lesson 04.2 : Solving Simultaneous Equations in Two Unknowns : One Linear Equation and One Non-Linear Equation - Solving Simultaneous Equations involving Real-Life Situations

Chapter 05 : Indices and Logarithms

  • Lesson 05.1 : Integer Indices, Fractional Indices
  • Lesson 05.2 : The Index Laws, Simplifying Algebraic Expressions by using Laws of Indices
  • Lesson 05.3 : Converting Equations in Index Forms to Logarithmic Forms and Vice Versa, Finding Logarithm of a Number, Finding Antilogarithm of a Number
  • Lesson 05.4 : Finding Logarithm of Numbers by using Laws of Logarithm
  • Lesson 05.5 : Simplifying Logarithmic Expressions
  • Lesson 05.6 : Changing the Base of Logarithms, Solving Problems involving Laws of Logarithms
  • Lesson 05.7 : Solving Equations involving Indices, Solving Equations involving Logarithms

Chapter 06 : Coordinate Geometry

  • Lesson 06.1 : Finding the Distance Between Two Points using Formula and Finding the Midpoint of Two Given Points
  • Lesson 06.2 : Finding the Point that Divides a Line Segment According to a Given Ratio
  • Lesson 06.3 : Finding the Area of a Triangle Based on Concept and Finding the Area of a Triangle using Formula
  • Lesson 06.4 : Finding the Area of a Quadrilateral using Formula
  • Lesson 06.5 : Determining the x-intercept and y-intercept of a Line and Finding the Gradient of a Straight Line and Finding the Gradient of a Straight Line using the x-intercept and y-intercept
  • Lesson 06.6 : Finding the Equation of a Straight Line(a) Given the Gradient and One Point that the Line Passes Through (b) Given Two Points that the Line Passes Through
  • Lesson 06.7 : Finding the Gradient and Intercept of a Straight Line (a) Gradient Form (b) Intercept Form Changing the Equation of a Straight Line to the General Form, Changing the Form of a Straight Line
  • Lesson 06.8 : Finding the Point of Intersection of Two Lines, Parallel and Perpendicular Lines, Determining Parallel Lines, Finding the Equation of Parallel Lines
  • Lesson 06.9 : Determining Perpendicular Lines, Determining the Equation of Perpendicular Line
  • Lesson 06.10 : Solving Problem involving Equation of Straight Lines
  • Lesson 06.11 : Equation of Locus (a) Equidistant from a Fixed Point (b) Constant Ratio Between Two Fixed Points
  • Lesson 06.12 : Solving Problem involving Loci

Chapter 07 : Statistics

  • Lesson 07.1 : Calculating the Mean of Ungrouped Data and Determining the Mode and Median of Ungrouped Data
  • Lesson 07.2 : Determining the Modal Class of Grouped Data and Finding the Mode of Grouped Data from a Histogram
  • Lesson 07.3 : Calculating the Mean of Grouped Data and Calculating the Median from the Cumulative Frequency Table of Grouped Data
  • Lesson 07.4 : Calculating the Median from the Cumulative Frequency Table of Grouped Data and Estimating the Median of Grouped Data from an Ogive
  • Lesson 07.5 : Determining the Effects on Measures of Central Tendency When Some Values in a Given Set of Data are Changed
  • Lesson 07.6 : Determining the Most Suitable Measure of Central Tendency in a Particular Situation
  • Lesson 07.7 : Finding the Range of Ungrouped Data and the Interquartile Range of Ungrouped Data
  • Lesson 07.8 : Finding the Range of Grouped Data and the Interquartile Range of Grouped Data from the Cumulative Frequency Table and Determining the Interquartile Range of Grouped Data from an Ogive
  • Lesson 07.9 : Determining the Interquartile Range of Grouped Data from an Ogive and Determining the Variance of Ungrouped Data
  • Lesson 07.10 : Determining the Variance of Grouped Data and Determining Standard Deviation of Ungrouped Data and Grouped Data
  • Lesson 07.11 : Determining the Effects on Measures of Dispersion When Some Values in a Set of Data are Changed (a) If Every Value of the Data is Changed Uniformly (b) If There are Extreme Values in the Set of Data (c) If Certain Values are Added to or Removed from the Given Set of Data
  • Lesson 07.12 : Comparing the Measures of Central Tendency and Dispersion

Chapter 08 : Circular Measure

  • Lesson 08.1 : Converting Measurements in Radians to Degrees and Vice Versa
  • Lesson 08.2 : Determining Arc Length, Radius and Angle Subtended at the Centre of a Circle, Finding the Perimeter of Segments of a Circle
  • Lesson 08.3 : Solving Problems involving Arc Lengths
  • Lesson 08.4 : Determining Area of Sector, Radius and Angle Subtended at the Centre of a Circle
  • Lesson 08.5 : Area of a Segment
  • Lesson 08.6 : Solving Problems involving Area of Sectors
  • Lesson 08.7 : Problems involving Arc Length and Area of Sector of a Circle

Chapter 09 : Differentiation

  • Lesson 09.1 : Determining the Limit of a Function
  • Lesson 09.2 : Finding the Gradient of a Chord and Finding the Gradient of the Tangent to a Curve and the First Derivative of a Function
  • Lesson 09.3 : Finding the Gradient of the Tangent to a Curve and the First Derivative of a Function and Determining the First Derivative of a Polynomial by using the First Principle
  • Lesson 09.4 : Deducing the Formula for the First Derivative of y=ax^n , Differentiation of Polynomial Functions, Determining the First Derivative of y=ax^n using Formula , Determining the Value of dy/dx for a Given Value of x
  • Lesson 09.5 : Differentiating Functions Comprising of Addition or Subtraction of Algebraic Terms and Differentiating a Product of Two Polynomial
  • Lesson 09.6 : Differentiating a Quotient of Two Polynomial
  • Lesson 09.7 : Differentiating Composite Functions
  • Lesson 09.8 : Determining the Gradient of a Tangent at a Point on a Curve
  • Lesson 09.9 : Determining the Equation of Tangent to a Curve and Determining the Equation of The Normal to a Curve
  • Lesson 09.10 : Determining the Turning Points of a Curve and Finding the Maximum and/or Minimum Points of f(x) (Part 1)
  • Lesson 09.11 : Determining the Turning Points of a Curve and Finding the Maximum and/or Minimum Points of f(x) (Part 2)
  • Lesson 09.12 : Solving Problems involving Maximum and/or Minimum Values
  • Lesson 09.13 : Determining Rate of Change for Related Quantities
  • Lesson 09.14 : Determining Small Changes in Related Quantities and Determining Approximate Values
  • Lesson 09.15 : Determining the Second Derivative of y = f(x) and Using the Second Derivative to Determine the Maximum or Minimum Points

Chapter 10 : Solution of Triangles

  • Lesson 10.1 : Verifying the Sine Rule
  • Lesson 10.2 : Using the Sine Rule
  • Lesson 10.3 : Using the Sine Rule in an Ambiguous Case
  • Lesson 10.4 : Solving Problems involving the Sine Rule
  • Lesson 10.5 : Verifying the Cosine Rule
  • Lesson 10.6 : Using the Cosine Rule
  • Lesson 10.7 : Solving Problems Involving the Cosine Rule, Solving Problems involving the Sine Rule and the Cosine Rule
  • Lesson 10.8 : Finding the Area of a Triangle, Solving Problems involving Three-Dimensional Objects

Chapter 11 : Index Numbers

  • Lesson 11.1 : Calculating the Index Number, Calculating Price Index
  • Lesson 11.2 : Finding Qo or Q1
  • Lesson 11.3 : Composite Index Number
  • Lesson 11.4 : Calculating Composite Index, Finding Index Number or Weightage
  • Lesson 11.5 : Solving Problems involving Index Number and Composite Index Number (1)
  • Lesson 11.6 : Solving Problems involving Index Number and Composite Index Number (2)
  • Lesson 11.7 : Solving Problems involving Index Number and Composite Index Number (3)
  • Computer Type Personal Computer or Laptop
  • Minimum Display Resolution 1024 x 768 or 14 inches Monitor & above
  • Windows Windows XP, Vista & 7
  • RAM Memory Minimum 1GB & above
  • Processor Speed Minimum 1GB MHz & above
  • Others Sound Card, DVD-ROM, Internet (for Online Product Activation)

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