A Level Mathematics & Further Mathematics

A LEVEL MATHEMATICS

AIMS OF THE COURSE

  • To strengthen and extend existing knowledge and understanding of mathematics from GCSE as well as introduce and explore a variety of new concepts.
  • To explore the various applications of mathematics and to be able to apply existing and new skills to modelled situations.
  • To encourage students to be able to interpret a problem and be able to analyse these mathematically constructing a mathematical argument.

PRE-REQUISITES

Pupils wishing to study maths at A level should have a real love for the subject along with a strong work ethic. A potential student should be a strong mathematician that is capable of interpreting a problem and choosing an appropriate method to be able to work through to a solution. A potential student should also be able to formally structure a mathematical argument using equations and correct mathematical notation consistently and accurately.

 

COURSE CONTENT

The A level course is broken down into three key areas - Pure Mathematics, Mechanics and Statistics.

  • Pure Mathematics - this involves building upon a lot of the skills learned at GCSE and extending these as well as looking at their applications e.g. algebra, trigonometry and coordinate geometry. This course will also introduce a host of new areas of maths e.g. calculus, logarithms and sequences and series.
  • Mechanics - this unit of study looks at modelling situations in real life and then working through them algebraically. Some examples of topics to be covered are “kinematics”- the study of how things move, “dynamics”- the study of why things accelerate, “statics”- the study of why things do not move.
  • Statistics - You will recap and build upon the statistics elements of the GCSE course such as averages and tables in data as well as looking at various tests that you can carry out on data to look for correlation as well as being able to calculate probabilities from increasingly complex scenarios.

ASSESSMENT

You will be assessed internally throughout the course to check that you are on track. The course is formally assessed through three examination papers that will be sat at the end of year 13. These examination papers will look at the three strands mentioned above however “Pure Mathematics” will count for 66.6% of your final grade with “Mechanics” and “Statistics” being equally weighted to make the remaining 33.3%.

CAREER OPPORTUNITIES

Employers and Universities both value an A level in mathematics. Even if you do not wish to study Mathematics at University it is referred to as a “facilitating subject” and will be welcomed on the majority of courses.

COURSE ENTRY REQUIREMENTS

The minimum entry requirements for level 3 academic study apply. In addition, a Grade 6 in GCSE Mathematics is required, however Grade 7+ is highly recommended.

A LEVEL IN FURTHER MATHEMATICS

In addition to the aims of the A Level Mathematics course, we also aim to give students wishing to study a very maths rich course at university an excellent foundation in the subject and to look at some of the topics that may appear at undergraduate level.

COURSE CONTENT

The A level course is structured similarly to A Level Mathematics - Further Pure Mathematics, Further Mechanics and Further Statistics as well as the introduction of some “Discrete Mathematics”.

  • Further Pure Mathematics
    In Further Pure Mathematics students extend and deepen their knowledge of proof, algebra, function, calculus and vectors studied in A Level Mathematics. They will also broaden their knowledge into new areas of study such as matrices, polar coordinates and complex numbers.
  • Further Statistics
    In Further Statistics students explore in greater detail the content of A Level Mathematics but also extend their skills into new areas such as regression and Chi squared tests.
  • Further Mechanics
    In Further Mechanics students develop further their understanding of kinematics, dynamics and statics from A Level Mathematics whilst also learning new topics such as impulse, momentum, work, energy and power.
  • Discrete/Decision Mathematics
    Decision/Discrete Mathematics is a branch of mathematics which looks at modelling real life situations using graph theory and algorithms. Topics such as linear programming, route inspection and critical path analysis are explored in detail.

 

 

 

PRE-REQUISTES

Pupils wishing to study Further Maths at A level should have a real passion for the subject along with a strong work ethic. A potential student should be a very strong mathematician and be resilient in the face of increasingly complex subject matter. A potential student should naturally structure a mathematical argument using equations and correct mathematical notation consistently and accurately. The student should be aware that even if they found GCSE easy and are a capable mathematician they will be looking at concepts that will challenge them significantly, they will make mistakes and must not give up when the topics are difficult. You will receive 2 A levels in maths: A Level Mathematics and A Level Further Mathematics.

ASSESSMENT

You will be assessed internally throughout the course to check that you are on track. The course is formally assessed through three examination papers that will be sat at the end of year 13.

CAREER OPPORTUNITIES

Employers and Universities both value an A level in Further Mathematics. This could potentially make your first year of undergraduate easier as you will have some prior knowledge of some concepts that will be covered.

ENTRY REQUIREMENTS

The minimum entry requirements for level 3 academic study apply. In addition, a Grade 7+ in GCSE Mathematics is required.