Be able to solve linear and quadratic equation using various methods.

Be able to write, interpret and evaluate operations on problems involving function notation such as composition, including those given as a graph or table.

Be able to find the inverse of linear, quadratic and exponential functions.

Know when restricting the domain is needed to find an inverse, and be able to find a suitable restricted domain.

Understand logarithms are the inverse of exponential functions. 

Graph logarithmic functions and find the key features.

Simplify logarithmic expressions.

Solve logarithmic equations.

Be able to identify polynomial functions, their degree, leading coefficient, and the effect these have on the graph.

Understand the pattern in growth of polynomial functions.

Be able to add, subtract, and multiply factors, and understand the connection to polynomial functions.

Be able to use Pascal's triangle to write factors written to a given degree.

Be able to use polynomial long division to divide or determine whether a binomial is a factor of a polynomial.

Use properties of polynomial functions to solve equations or graph functions.

Find key features of, and graph reciprocal and rational functions.

Simplify rational expressions involving addition, subtraction, multiplication division and exponents.

Solve rational equations, and identify solutions that are extraneous to the process of solving.

Find the area of solids formed by rotating a figure around an axes. 

Solve right-angled triangles, and applications, using right triangle trigonometry, Pythagorean theorem and other properties of triangles.

Solve oblique triangles and applications, using the laws of sines and cosines.

Find the area of a triangle using trigonometry.

Be able to solve problems involving special right triangles, and complete a unit circle.