Students in Year 13 deepen their knowledge of certain pure topics such as advanced trigonometry, numerical methods, calculus and functions. In mechanics, they build on Year 12 foundations to study static and dynamic bodies in more depth, and in statistics will study regression, conditional probability and the normal distribution.
Further mathematics (an additional A level) introduces new branches of mathematics within which students begin to learn the deeper connections underlying mathematics, and to provide students with more sophisticated tools to understand the world around them. Students taking A Level further mathematics study all the single maths content in Year 12 and then all the further maths content in Year 13. In Year 13 they study a significant amount of advanced pure mathematics, including complex numbers, differential equations, polar coordinates, matrices and hyperbolic functions. In further statistics they widen their awareness of different distributions (binomial, Poisson, geometric, negative binomial, normal) and use these to test and evaluate real-world hypotheses. Finally in further mechanics they study more varied situations such as elastic and inelastic collisions in one and two dimensions.
Throughout both pure and applied maths there is a consistent focus on modelling. For example, students apply their knowledge of trigonometric functions to model wave-like behaviour such as a daily tide pattern. This provides ample opportunity for students to learn advanced mathematics and simultaneously see how what they are learning applies in their everyday life. Our maths and further maths curricula in Key Stage 5 are therefore both academically rigorous and highly rewarding for our students.