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Senior Preparation Course (Year 10 Extension)

Senior Preparation Course (Year 10 Extension)

Course overview info here

Duration
12
Fees
160

Course information

Course info here

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Course structure

  • Substitution Method
  • Elimination Method
  • Additional Practice Questions – Algebraic Methods
  • Graphical Method
  • Applications of Simultaneous Equations
  • Solving Linear Inequalities
  • Pythagoras’ Theorem
  • Pythagoras’ Theorem In 3 Dimensions
  • Trigonometric Ratios
  • Using Trigonometric Ratios to Calculate Side Length
  • Using Trigonometry to Calculate Angle Size
  • Angles of Elevation and Depression
    Bearings
  • Area
  • Surface Area
  • Volume
    • Volume – Prisms
    • Volume – Pyramids and Spheres
    • Volume – Compound Shapes
  • Summary of Index Laws
  • Negative Indices
  • Fractional Indices
  • Combination of Index Laws
  • Types of Numbers – Review
  • What is a Surd?
  • Operations Involving Surds
  • Rationalising The Denominator
  • Logarithms
  • Logarithmic Laws
  • Substitution
  • Review of Operations With Fractions
  • Adding and Subtracting Algebraic Fractions
  • Multiplying and Dividing Algebraic Fractions
  • Solving Equations
  • Congruency
  • Similarity
  • Sketching Linear Functions
  • Determining Linear Functions
  • Distance Between Two Points
  • Midpoint Between Two Points
  • Parallel and Perpendicular Lines
  • Expanding
  • Factorising
    • Factorising – Three Terms
    • Factorising – Two and Four Terms
    • Factorising – Completing the Square
  • Solving Quadratics
    • Solving Quadratics – Algebraically
    • Solving Quadratics – Quadratic Formula
    • Solving Quadratics – Graphically
  • The Discriminant
  • Sketching Quadratics
    • Sketching Quadratics – Table of Values
    • Sketching Quadratics – Turning Point Form
  • Determining Quadratic Functions
  • Sketching a Circle
  • Determining Circle Equations
  • Exponential Functions
  • Hyperbolas (Hyperbolic Functions)
  • Introduction to Polynomials
  • Operations With Polynomials
  • Long Division of Polynomials
  • Remainder and Factor Theorems
  • Factorising Polynomials
  • Solving Polynomials
  • Simultaneous Equations – Linear and Non-Linear
  • Revision of Probability
  • Tree Diagrams
  • Independent and Dependent Events
  • Conditional Probability
  • Measures of Central Tendency
  • Measures of Spread
  • Box and Whisker Plots
  • Additional Terminology
  • Successive Discounts
  • Compound Interest

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