Overview of the Subject
At Guiseley School mathematics is taught through Key Stage 3 and 4. Our aim is to encourage students to develop confidence in, and a positive attitude towards, mathematics and to recognise the importance of mathematics in their own lives and to society. We hope to prepare students to make informed decisions about the use of technology, the management of money, further learning opportunities and career choices. With all our students receiving essential skills to equip them for further education or working life.
Students in Years 7, 8 and 9 all receive three lesson of maths a week. In Year 7 and 8 pupils are set in half year groups and in Year 9 they are set across the whole year. All lessons use the three part lesson structure (starter activity, main activity and plenary where pupil are encouraged to reflect upon their learning during the lesson, as a template.
During KS3 we aim to develop the following skills in our students,
- recall number facts and manipulate whole numbers (positive and negative), fractions, decimals and percentages;
- use the methods of calculation they have been taught in mathematics lessons in different curricular contexts;
- use calculators and ICT efficiently, and recognise when these are inappropriate tools;
- estimate and judge the reasonableness of their solutions, check their methods and answers and give results to a required degree of accuracy;
- solve problems where they need to identify the calculations required, and interpret and check their results in the context of the original problem;
- substitute numbers into formulae; and use and make sense of information presented in tables, charts and diagrams, and graphically;
- collect both discrete and continuous data, represent data pictorially and graphically, analyse data and make predictions; and
- explain their strategies and methods and use correct mathematical vocabulary.
Students are assessed formally once a term. The setting is reviewed after each assessment. At the end of each year students are given a SAT style test that contributes to assessing how much progress they have made during the year. We encourage students to use on line resources, websites such as www.mymaths.co.uk, to consolidate skills taught in lessons.
All students study mathematics in Key Stage 4 leading to the award of a GCSE grade. Students receive 3 hours per week of maths in Year 10 and 4 lesson a week in year 11. The top set follows a fast track program that stars in Year 9 with them sitting their GCSE exam at the end of Year 10. They then go on to take the AS modules in Year 11.
We look to improve students understanding of the key concepts in mathematics and how these are applied to solve problems. All of the following topic areas are covered in KS4:
We look to give our students proficiency and confidence to :
- acquire and use problem-solving strategies
- select and apply mathematical techniques and methods in
- mathematical, every day and real-world situations
- reason mathematically, make deductions and inferences and draw conclusions
- interpret and communicate mathematical information in a variety of forms appropriate to the information and context.
The assessment at KS4 consists of exams at the end of Year 11, there are two written papers: each contributes 50% of the final grade. The papers are tiered in the following way:
- Foundation Tier with grades C-G available
- Higher Tier with grades A*-D available (E allowed).
The students are expected to take two exam papers each lasting 1 hour 45 minutes each. The first paper is a non-calculator paper and the second is a calculator paper. Both have a maximum mark of 100.
An A Level in mathematics proves students competence in an intellectually demanding discipline with universal applications, from archaeology to astrophysics. Our aim is to help students enjoy developing this skill – the subject can be fun and very satisfying.
We teach the Edexcel syllabus which includes elements such as modelling, descriptive statistics and numerical techniques.
The use of graphical calculators and computer software as problem solving tools is also encouraged.
We offer A Levels in mathematics with statistic and mathematics with mechanics. The choice of which students should study depends on other A Level choices and future A Level plans. Pupils in Year 11 are encouraged to discuss with their mathematics teachers which would be the correct choice for them. We also offer a Further Maths AS and A Level. This potentially results in the award of two A Levels . This course is very demanding and we advise that only those students who have followed the fast track in Year 11 take up this option.
YEAR 12 (AS LEVEL)
Modules at AS
For AS mathematics a student will have to complete three modules from the following options (C1 and C2 are compulsory). Each module carries equal waiting and scores from individual modules are combined to give an overall mark that results in the award of the appropriate grade. The total AS counts for 50% of the full A Level.
- Module 1 C1 Pure Maths: Algebra and functions; co-ordinate geometry in the (x, y) plane; sequences and series; differentiation; integration. (Non-calculator exam)
- Module 2 C2 Pure Maths: Algebra and functions; co-ordinate geometry in the (x, y) plane; sequences and series; trigonometry; exponentials and logarithms; differentiation; integration.
- Module 3: Either: Mechanics 1 Or Statistics 1. Mathematical models in mechanics; vectors in mechanics; kinematics of a particle moving in a straight line; dynamics of a particle moving in a straight line or plane; statics of a particles; moments. Mathematical models in probability and statistics; representation and summary of data; probability; correlation and regression; discrete random variables; discrete distributions; the Normal distribution.
YEAR 13 (A LEVEL)
Modules at A2
To achieve an A2 in mathematics a student will have to sit three of the following modules (C3 and C4 are compulsory)
- Module 4 C3 Pure Maths: Algebra and functions; trigonometry; exponentials and logarithms; differentiation; integration; Numerical methods
- Module 5 C4 Pure Maths: Algebra and functions; co-ordinate geometry in the (x, y) plane; sequences and series; differentiation; integration; vectors.
- Module 6: Either: Statistics 2 Or Mechanics 2. The Binomial and Poisson distributions; continuous random variables; continuous distributions; samples; hypothesis tests. Kinematics of a particle moving in a straight line or plane; centres of mass; work and energy; collisions; statics of rigid bodie