Programme of Study


Mathematics is the means of looking at the patterns that make up our world and the intricate and beautiful ways in which they are constructed and realised. Numeracy is the means of making that knowledge useful.

Mathematics contributes to the school curriculum by developing pupils’ abilities to calculate; to reason logically, algebraically, and geometrically; to solve problems and to handle data. Mathematics is important for pupils in many other areas of study, particularly Science and Technology. It is also important in everyday living, in many forms of employment, and in public decision-making. As a subject in its own right, Mathematics presents frequent opportunities for creativity, and can stimulate moments of pleasure and wonder when a problem is solved for the first time, or a more elegant solution to a problem is discovered, or when hidden connections suddenly manifest.

It enables pupils to build a secure framework of mathematical reasoning, which they can use and apply with confidence. The power of mathematical reasoning lies in its use of precise and concise forms of language, symbolism and representation to reveal and explore general relationships. These mathematical forms are widely used for modelling situations; a trend accelerated by computational technologies.

The subject transcends cultural boundaries and its importance is universally recognised. Mathematics helps us to understand and change the World.


• To set challenging targets with high expectations for all pupils.

• To offer a variety of approaches to teaching and learning to engage and motivate pupils and demand their active participation.

• To smooth the transition for pupils between Key Stages and ensure progression in teaching and learning throughout their time at Carleton Community High School.

• To explore enrichment opportunities outside the curriculum to enhance pupils’ enjoyment of mathematics.


At the end of his/her mathematical education in this school, each pupil will be able:

• To perform basic numeracy skills

• To perform the basic mathematical skills needed in his/her chosen career or for entry to higher or further mathematical education

• To understand the mathematics likely to be encountered in daily adult life

• To reason clearly and logically, and to set out a rational argument

• To identify patterns encountered in diverse situations and to extrapolate from these

• To approach problems systematically, choosing appropriate techniques for their solution

• To follow logical instructions clearly expressed

• To experience satisfaction in and enjoyment of his/her mathematical achievements

• To obtain any formal mathematical qualifications needed for his/her chosen career

• To obtain his/her best possible results at KS3 & KS4.

In addition, we hope that pupils will acquire the logical abilities characteristic of a mathematician.

Key Stage 3 programme of study.


Pupils begin the GCSE Maths programme of study on entry at Year 7.

The scheme of work is designed to build upon prior attainment at key stage 2 in the topics of Number, Algebra, Ratio and Proportion, Geometry, Probability and Statistics.

Year 7 pupils' are set according to their key stage 2 level or key stage 2 teacher assessment. At the end of years 7 and 8 students take internal optional SAT's papers to enable accurate setting for the following academic year.

• GCSE Mathematics is taught over a five year programme of study starting in year 7.

• All learners follow the AQA GCSE Mathematics specification and will sit a three paper linear examination at the end of year 11. (With the exception of current year 11 who sit the two paper linear examination.)

• Learners will be regularly assessed to ensure they are 'on track' and this will also allow any necessary intervention to be put into place.

• The examination is designed on 2 tiers – H(igher) and F(oundation). After careful consultation with staff, learners and parents, learners are entered at the tier suited to their ability. The two tiers are designed to give access to the following grades :

Grades achievable at Foundation: 1, 2, 3, 4, 5
Grades achievable at Higher: 4, 5, 6, 7, 8, 9

All learners require a scientific calculator.


In year 11 the most able will be offered the opportunity to study AQA GCSE Further mathematics. This has proved to be very popular and is an excellent grounding for those interested in pursuing mathematics at a higher level than GCSE.