# Sixth Form

## A-Level Mathematics

This A-Level qualification builds on the skills, knowledge and understanding set out in the GCSE (9-1) subject content for mathematics. The content is separated into three areas: Pure Mathematics, Statistics and Mechanics with all elements being assessed through a written examination. All pupils must study all three topic areas.

### What Topics Will I Study?

Manipulation of Indices and Surds. Advanced algebraic techniques. Exploration of graphical representation with links to coordinate geometry and transformations. Binomial expansion. Introduction to Calculus. Advanced Trigonometry and an introduction to trig identities. Exponentials and Logarithms. Vectors. Representation of data – statistical measures and diagrams. Outliers. Probability of mutually exclusive and independent events. The Binomial distribution and hypothesis testing. SI units. Constant and non-uniform acceleration. Newton’s Laws. Weight and Frictional forces.

Extension of algebraic and numerical techniques including fractions & parametric equations. Iterative methods. Functions and graphs involving exponentials and logs. Sequences and sigma notation. Proof by contradiction. Further trigonometry. Further Calculus. Extension of the Binomial theorem. Differential equations. Set notation. Extension of the Binomial Distribution. The Normal distribution leading to Central Limit Theorem, Correlation and hypothesis testing. Extension of work on acceleration, frictional forces and Newton’s Laws, Gravity, Application of vectors in a plane and Statics.

### What Grades do I Need at GCSE Level?

Apart from minimum entry requirements for the Sixth Form, you we would encourage students to consider A-Level maths if they have a grade 7 or better at GCSE. We will accept a grade 6 in some circumstances, but students must understand that they are likely to need to do significant additional work both independently and in school to bridge the gap between GCSE and A-Level. This is because a lot of the harder grade 7-9 algebraic topics are fundamental building blocks for students to succeed at A-Level maths. A grade 5 is also required in English Language.

### What Other Subjects Should I Study?

Maths is an excellent subject to study in its own right, and has in the past been successfully combined with almost every other combination of subjects. What about choices after A-Levels? Success in Maths A-Level puts you in a strong position to go on to employment and further education. As regards degree courses, besides studying Mathematics itself, you will find it useful (if not essential) in studying sciences, computing, finance and engineering.