# Further Mathematics - A Level

### What does the course aim to do?

- To understand coherence and progression in mathematics and how different areas of mathematics are connected
- To apply mathematics in other fields of study and be aware of the relevance of mathematics to the world of work and to situations in society in general
- To use their mathematical knowledge to make logical and reasoned decisions in solving problems both within pure mathematics and in a variety of contexts, and communicate the mathematical rationale for these decisions clearly
- To reason logically and recognise incorrect reasoning
- To generalise mathematically
- To construct mathematical proofs
- To use mathematical skills and techniques to solve challenging problems which require decisions on the solution strategy
- To recognise when mathematics can be used to analyse and solve a problem in context
- To represent situations mathematically and understand the relationship between problems in context and mathematical models that may be applied to solve them
- To draw diagrams and sketch graphs to help explore mathematical situations and interpret solutions
- To make deductions and inferences and draw conclusions by using mathematical reasoning
- To interpret solutions and communicate their interpretation effectively in the context of the problem
- To read and comprehend mathematical arguments, including justifications of methods and formulae, and communicate understanding
- To use technology such as calculators and computers effectively and recognise when such use may be inappropriate

This course is particularly suitable for those students who have a natural aptitude for mathematics and wish to study it in much more depth. Students who wish to study a mathematically related degree at university are strongly recommended to follow this course. Further Mathematics retains a certain kudos and is looked on favourably by some of the more prestigious universities.

#### What will I be studying?

The content of the course will depend on which exam board is used as each exam board are offering different options for Further Mathematics. However it is very likely that the Further Mathematics course will build on the three branches of mathematics studied in the single A-level Mathematics course, namely Pure mathematics, Mechanics and Statistics. (See A-level Mathematics for further details).

10 periods of Mathematics per week for two years.

#### How will I be assessed?

This will depend on which exam board is used. It is likely that at the end of the first year you will sit two or three exam papers for the A-level in Mathematics and then at the end of the second year another set of papers for the A-level in Further Mathematics.

#### Am I suited to this subject?

You should demonstrate the ability to acquire, appreciate and apply mathematical concepts and techniques; select appropriate mathematical models in the solution of problems; interpret, check and discuss results; make deductions and inferences; develop a disciplined and enquiring mind.

#### Where will it lead in the future?

Mathematics degrees are open to those who have taken only a single A Level in Maths, but the more prestigious universities still expect a good result in Further Maths. Some also insist on extra papers, especially STEP. Maths can be studied jointly with a wide variety of subjects at degree level and is also essential for Engineering courses, required for many Science degrees and often desirable for Accountancy or Business related degrees. Maths is a very widely accepted indicator of ability in higher education as well as for those who are contemplating direct entry to careers, especially in any financial area.

#### How will I study?

You will be involved in the development of concepts and techniques by investigation and discussion and their application in solving problems. When a principle has been introduced you will complete worked examples in class and your progress will be monitored by performance in homework, assignments and tests.

#### What will I need to do myself?

Written assignments are given on each topic. In addition you are expected to use text books and notes to provide further support and practice exercises. A minimum of 10 -12 hours private study and homework per week is expected (as you will be studying two A-levels).

#### Why should I come to Canon Slade to study Mathematics?

We are an experienced, well-qualified and enthusiastic team who are passionate about our subject. We encourage and motivate pupils to achieve their full potential offering support and advice as required. Lessons take place in classroom settings with access to text books, past papers and on-line resources.