Algebraic techniques
Index laws and surds
Solving quadratic equations
Simplifying algebraic fractions
Introduction to functions
Definition of a relation
Function notation
Interval notation
Domain and range of a function
Graph of a function
Types of relations and functions
Odd and even functions
Sum, difference, product and quotient of functions
Composite functions
Linear functions
Graphing linear functions
Equation of a line through a point given a gradient
Equation of a line through two points
Parallel and perpendicular lines
Quadratic and cubic functions
Graphing quadratic functions
Vertex of a quadratic function
Discriminant in the graph of a quadratic function
Simultaneous linear and quadratic equations
Simple cubic functions
Further functions and relations
Polynomials
Hyperbolas
Absolute value of a real number
Graphing absolute value functions
Reflections of functions
Circles
Semicircles