4th Form CurriculumIn the Fourth Form Mathematics course pupils develop their ability to describe, tackle and solve problems which require the application of mathematical knowledge and techniques. Consequently, the main approach to teaching and learning Mathematics in the Fourth Form is based upon problem solving.
This broad aim means that we concentrate on improving the following five aspects of the problem-solving process. First, pupils must understand the problem; they have to interpret the requirements of the problem and the vocabulary and concepts in which it is expressed. Secondly, they have to consider how to go about solving the problem and choosing an appropriate strategy. Thirdly, they have to implement their strategy; this may require the processing of data, e.g. numerical calculations or manipulation of algebraic symbols. Fourthly, when they carry out their strategy they may need to use practical skills, e.g. measuring or making a scale drawing. Finally, they have to communicate the solution of the problem, or the conclusions reached if there is no solution, perhaps using ordinary language, mathematical language, or a mixture of both.
Pupils will develop competence in a range of skills and acquire a firm grasp of concepts: they will learn to use their knowledge and skills in a variety of familiar and unfamiliar situations. They will be given the opportunity to tackle open-ended problems and to take part in group and class discussions in order to heighten their competence and to make their understanding more secure. Furthermore, they will learn how to estimate, approximate and work to degrees of accuracy appropriate to the context, to respond orally to questions about Mathematics and to carry out mental calculations.
It is our intention to provide a course which will stimulate, interest and stretch each pupil. To help us achieve this we provide textbooks and teaching materials which are tailored to the pace of learning of each set. The setting arrangements are not rigid however; there are two reviews during the course of the Fourth Form, following which some pupils change sets. By the end of the year pupils will have found their own level, whether it be in the top set, which takes GCSE at the normal time but, in addition, studies an additional GCSE in Statistics, or in one of the other sets which follow a standard, differentiated course to GCSE.
In this first year we aim to encourage a healthy attitude towards the subject and good working habits. Pupils are expected to take care with regard to the layout and tidiness of their work, and to appreciate the importance of showing their working when answering a question. The establishing of these qualities improves their chances of success as they move into the Removes and closer to the GCSE examination.
