This is a challenging and fulfilling course for the student who is enthusiastic about the study of mathematics for its own sake. It will reward those with a determination to succeed and an ability to think abstractly. Students will learn to apply the skills they learn consistently in a wide range of settings.
Students will build on skills from GCSE including work on quadratic equations, algebraic inequalities and graphical interpretation. In addition to this differentiation and integration are introduced.
Students will study new work on geometry, sequences, exponential functions and logarithms. They will also further their study of differentiation and integration including the use of numerical approximations.
Statistics can be defined as the science of collecting, analysing and presenting numerical information. This module covers presentation techniques, probability, averages, correlation and regression.
Students will study a formal treatment of functions and exponential growth. They will further improve their techniques in differentiation and integration and apply these to finding areas and volumes. Numerical methods for calculating areas and solving equations complete the course.
Students will cover new material on parametric equations, vectors and algebraic expansions. They will further enhance their skills in integration and begin to solve basic differential equations.
Mechanics looks at the application of Mathematics to important physical situations such as the effect of gravity on the motion of an object. This module covers the equations of motion for systems involving constant acceleration. It also covers applying Newton’s laws in basic situations.
FURTHER MATHEMATICS AS UNITS:
(optional in Year 13 and recommended for those wishing to take a degree in Mathematics at university)
Further Pure 1
This unit increases knowledge of solving simultaneous equations and summing series. New work covered includes applications of matrices, complex numbers and induction methods.
Students will cover projectiles, moments, equilibrium, motion in a circle and methods using energy.
This relatively new area of mathematics covers algorithmic approaches, network problems and linear programming.
A Level Mathematics supports a wide range of courses including Engineering, Accountancy, Medicine, Accountancy, Pure and Applied Sciences and Business. It is also a very stimulating subject to study in its own right, opening the door to many careers after completing Higher Education. It is a useful qualification for entry into career areas such as air traffic control, banking, insurance, science of all types and the armed forces.
GCSE GRADE PROFILE
Students wishing to take this course will have achieved grades A* to C in a range of GCSE courses, including a B or above on the GCSE Mathematics Higher tier.