SPM Form 5 Additional Mathematics

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01 Progression 

  1. Formula (PDF Copy)
  2. Arithmetic Progression
    1. Characteristics of arithmetic progressions
    2. The nth term of an arithmetic progression
    3. Sum of the first n terms of an arithmetic progressions 
    4. SPM practice 1 (Arithmetic Progression) - 15 Questions
  3. GeometricProgression
    1. Characteristics of geometric progressions
    2. The nth term of a geometric progression
    3. Sum of the first n terms of a geometric progression
    4. Sum to infinity of a geometry progression 
    5. SPM practice 2 (Geometric Progression) - 15 Questions
  4. Mind Map

Video:

Geometric Progression

02 Linear Law 

  1. Formula (PDF Copy)
  2. Revise of Important Concept (Straight Line)  
  3. Lines of Best Fit
  4. Equations of Line of Best Fit
  5. Applications of Linear Law to Non-linear Relations
  6. SPM Practice 1 (Reduce Non-linear Function to Linear Function)
  7. SPM Practice 2 (SPM Paper 1-10 questions) 
  8. SPM Practice 3 (SPM Paper 2 - 4 questions)
  9. Mind Map

03 Integration 

  1. Indefinite Integral
    1. Basic Integration
    2. Integration by Substitution
    3. Finding Equation of a Curve from its Gradient Function
  2. Definite Integrals
    1. Part 1
    2. Part 2
  3. Integration as the Summation of Areas
  4. Integration as the Summation of Volumes
  5. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)
    2. Long Questions (Paper 2)
  6. Mind Map

Video:

04 Vectors 

  1. Vector
  2. Multiplication of Vector by a Scalar and the Parallel Condition of Two Vectors
  3. Addition and Subtraction of Vectors
    1. Addition of Vectors
    2. Subtraction of Vectors
  4. Expression of a Vector as the linear Combination of a Few Vectors
  5. Vectors in Cartesian Plane
  6. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)
    2. Long Questions (Paper 2)
  7. Mind Map

05 Trigonometric Functions

  1. Positive and Negative Angles
  2. Six Trigonometric Functions of any Angle
    1. The definitions of sin, cos, tan, cosec, sec and cot
    2. Special Angles 
  3. Graphs of the Sine, Cosine and Tangent Functions
    1. General pattern for y=sinx, y=cosx and y=tanx
    2. To Sketch Graphs of Trigonometric Functions (Part 1)
    3. To Sketch Graphs of Trigonometric Functions (Part 2)
  4. Basic Trigonometric Identities
  5. Formulae of sin (A±B), cos (A±B), tan (A±B), sin 2A, cos 2A, tan 2A
  6. Solving Trigonometric Equation
    1. Basic Equation in sin x/cos x/tan x/cosec x/sec x/cot x
    2. Factorization
    3. Form Quadratic Equation in sin x/cos x/tan x/cosec x/sec x/cot x
    4. Involving Addition Formulae and Double angle Formulae
  7. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)
    2. Long Questions (Paper 2)
  8. Mind Map

Videos:


06 Permutations and Combinations 

  1. Permutations Part 1
  2. Permutations Part 2
  3. Combinations
  4. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)
  5. Mind Map

07 Probability 

  1. Probability of an Event
  2. Probability of the Combination of Two Events
  3. Probability of Mutually Exclusive Events
  4. Probability of Independent Events
  5. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)
    2. Long Questions (Paper 2)
  6. Mind Map

08 Probability Distributions 

  1. Binomial Distribution
    1. Probability of an Event that follows a Binomial Distribution
    2. Mean, Variance and Standard Deviation of a Binomial Distribution
  2. Normal Distribution
    1. z-Score of a Normal Distribution
    2. Standard Normal Distribution Tables
    3. Probability of an Event
  3. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)
    2. Long Questions (Paper 2)
  4. Mind Map

    1. 09 Motion Along a Straight Line 

      1. Displacement
      2. Velocity
      3. Acceleration
      4. Mind Map

      10 Linear Programming 

      1. Graph of Linear Inequality
      2. Linear Programming
      3. Mind Map