The AQA Certificate in Further Mathematics is an untiered, Level 2 linear qualification for learners who already have, or are expected to achieve, grades A and A* GCSE Mathematics and are likely to progress to A-Level study in Mathematics and possibly further.
Maximise their potential
This qualification fills the gap for high achieving students by assessing their higher order mathematical skills, particularly algebraic reasoning, in greater depth, without infringing upon AS Level Mathematics , so preparing them to fully maximise their potential in further studies at Level 3. It offers the opportunity for stretch and challenge that builds on the Key Stage 4 curriculum and it is intended as an additional qualification to GCSE Mathematics, rather than as a replacement.
Specification
The content assumes prior knowledge of the KS4 programme of study and covers the areas of algebra and geometry which are crucial to further study in this subject in greater depth and breadth and. This new qualification will place an emphasis on higher order technical proficiency, rigorous argument and problem solving skills. It also gives an introduction to calculus and matrices and develops further skills in trigonometry, functions and graphs.
Inspire and challenge
Our specification will encourage learners to be inspired and challenged by following a rigorous and satisfying course of study which emphasises the power of mathematics and how to reason logically, recognise incorrect reasoning and appreciate the power of generalisation and mathematical proof.
Algebra for communication
To see algebra as a natural tool for communicating and solving a range of problems whilst looking at the limitations and assumptions made when using these models, and understand how different areas of the subject link together.
Beauty of Mathematics
And most importantly to encourage students to see the elegance and beauty of mathematics for its own sake as well as beginning to realise its fundamental importance in understanding and shaping our world.
Specification aim
Our aim, and that of the specification, is to enable candidates to develop their knowledge, skills and understanding of higher order mathematical methods and concepts; to use problem solving strategies, including algebra, as a tool for solving problems and select mathematical techniques and methods to solve challenging and non-routine problems.
Downloads
You can download specimen assessment papers and mark schemes at http://web.aqa.org.uk/qual/igcse/maths.php
The assumed content in each topic of the specification is not exhaustive. Generally it is expected that students preparing for this specification will have studied or be studying a course leading to the higher tier of GCSE Mathematics. The specification content for the Certificate in Further Mathematics is set out in six distinct topic areas, although questions will be asked that range across these topics.
Number
Including; fractions, decimals, percentages, ratio, proportion, order of operations and surds in a variety of contexts.
Algebra
Many of the skills which are needed as a base to move on to study mathematics at level 3 are covered including; expansion of brackets, factorisation, manipulation of rational expressions and formulae, solution of equations and inequalities. Rigorous algebraic proof using formal arguments and vocabulary allows students to appreciate the use of algebra as a powerful problem solving tool. Functions, sketching and drawing graphs and sequences are also studied.
Co-ordinate Geometry
2-dimensions only. Work on circles and straight lines is included which provide a basis for further study beyond GCSE.
Calculus
This section introduces students to differentiation and to understanding how it is used to analyse curves
Matrix transformations
An introduction to basic matrix manipulation is included. This leads to studying how matrices can be used to describe and carry out transformations of the unit square.
Geometry
Properties of geometrical shapes are included. The use of former arguments to provide rigorous proofs encourages students to appreciate the way mathematics can provide concise and complete solutions. Solving triangles in both two-dimensional and three-dimensional problems using appropriate methods is included. An introduction to trigonometric identities and their use in the solution of equations provides an insight into topics which are studied in greater depth in AS-Level Mathematics.
How do we assess the AQA Level 2 Certificate in Further Mathematics?
The scheme of assessment is linear and comprises two externally set and assessed question papers to be taken in the same examination series.
Examinations and certification are available for the first time in June 2012, and then every January and June for the life of the specification.
Paper 1 – non-calculator
This examination paper is a non-calculator paper worth 40 per cent of the overall assessment. The paper takes one hour and thirty minutes and is worth 70 marks. Any section of the specification may be tested on this paper. Exact answers will be expected, including the use of Surds and Pi. Both assessment objectives will be tested with 60 per cent at AO1 and 40 per cent at AO2.
Paper 2 – calculator
This examination paper is a non-calculator paper worth 60 per cent of the overall assessment. The paper is 2 hours long and is worth 105 marks. Any section of the specification may be tested on this paper. Answers not exact will be expected to be given to an appropriate accuracy if a degree of accuracy is not specified in the question.
As for Paper 1, both of the assessment objectives will be tested with 60 per cent at AO1 and 40 per cent at AO2.
The AQA Certificate in Further Mathematics Level 2 qualification will be graded on a five grade scale: C, B, A, A* and A* with Distinction. Whilst the content and skills assessed in this qualification are appropriate for Level 2 study, the focus of teaching and assessment is on the most challenging aspects of this level. Where candidates show sustained mastery of these most demanding skills and techniques, this will be recognised through the award with A* with Distinction.
How do we support your teaching of the AQA Certificate of Further Mathematics?
We have a variety of free support to help you teach this new qualification. Support you can choose includes:
TRANSCRIPT ENDS
