Mathematics Tutorials

Year 8 and 9 Mathematics
       
Area Rectangle Area Parallelogram
Area Triangle Area Trapezium
Area Circle    

Year 10 Mathematics and Year 11 Foundations of Mathematics

Trigonometric Functions and Projections Interactive
The Law of Sines The Law of Cosines
Area of a Triangle    
Real Numbers Simple and Compound Interest
Lines Parallel and Perpendicular Lines
Equations of Lines Solving Linear Equations
Graphs of Equations Graphs of Functions
Solving Quadratic Equations Applications of Quadratic Functions
Quadratics "u" Substitution Method Quadratic Functions and Models
Quadratics
Surd or Radical Equations Systems of Nonlinear Equations
Partial Fraction Decomposition Distance Between Two Points
Relations and Functions    

Year 11 Geometry and Trigonometry
Angles and Their Measure Right Triangle Trigonometry
Trigonometry Functions of General Angles The Unit Circle
Graphs of Sine and Cosine Functions Graphs of Other Trigonometric Functions
Trigonometric Identities Sum and Difference Formulas
Double and Half Angle Formulas Sum to Product Formulas
Trigonometric Equations I Trigonometric Equations II
Exact Values    
Circles    
Vectors Dot Product
Polar Coordinates Polar Equations and Graphs

Year 11 Introductory Calculus
Solving Quadratics and Exact Values Dividing Polynomials
Logarithmic Functions Properties of Logarithms
Exponential Functions Logarithmic and Expontential Equations
Exponential Growth and Decay    
Sequences Summation Notation
Arithmetic Sequences Geometric Sequences

Year 12 Applicable Mathematics and Discrete Mathematics

Library of Functions Odd and Even Functions
Graphical Transformations Optimisation
Linear Inequalities Linear Inequalities Systems
Linear Programming    
Linear Programming Interactive
Sets  
Shading Venn Diagrams Solving Venn Diagrams
Counting Techniques The Binomial Theorem
Systems of Linear Equations Matrix Algebra
Matrices and Row Operations    
Matrix Transformations  
Introducing Probability Probability

Year 12 Calculus

Simple Harmonic Motion Interactive
Absolute Value Equations Polynomial Functions
Library of Functions and Piecewise Functions Composite Functions
Inverse Functions Remainder and Factor Theorems
Rational Functions Rational Functions 2
Synthetic Division    
Functions Differentiability and Continuity
Complex Numbers 1 Complex Numbers 2
Complex Zeros DeMoivre's Theorem
De Moivre's theorem and nth Roots  
Parametric Equations Implicit Differentiation
Approximating Change Newton Raphson
First Fundamental Theorem Integration by Substitution
Integration by Parts Integration - Separating Variables