MATHEMATICS DEPARTMENT The Mathematics Department currently consists of a team of eleven Mathematics specialists, including the Subject Leader, Deputy Subject Leader, Key Stage 3 Mathematics Co-ordinator and one member of the Senior Management Team. All lessons are taught within one of the dedicated Mathematics rooms. The department is well resourced and uses a variety of different texts as well as other materials. All of our schemes of work are renewed continually in light of changes to the National Curriculum and the National Numeracy Strategy. All members of the department take on an active role in this review process. KEY STAGE 3 Pupils in Key Stage 3 are taught in two or three parallel bands, each band setted on three levels. Pupils have four 50 minute periods of Mathematics each week. The scheme of work is based upon a series of topics which are revisited through the Key Stage. In Years 7 and 8 this consists of a series of two to three week units. The main resources for these are the Collins Maths Frameworking scheme. In Year 9 pupils again study a series of three to four week units. The main resource at present is the Key Maths scheme though this is to be replaced by the Mathematics Frameworking scheme. Progress in KS3 is assessed using short (30 - 50 minute) tests every three units and additional longer tests covering a greater range of topics. KEY STAGE 4 Pupils in KS4 are setted across the year group and follow modular GCSE at a tier of entry suited to their needs. The typical distribution of entry level is as follows:Set 1 - Higher Tier Set 2 - Higher Tier Set 3 - Higher Tier Set 4 - Higher/Foundation Tier Set 5 - Foundation Tier Set 6 - Foundation Tier Set 7 - Foundation Tier Set 8 - Foundation Tier The main resource for KS4 is the series of Heinemann texts for Edexcel Modular GCSE. All pupils are entered for Edexcel modular exams consisting of 3 modules. Exams are sat in November and June of Year 10 and June of Year 11 though modules are sometimes retaken by students at other times as appropriate. YEARS 12 & 13 We currently offer AS and A2's in Maths and Further Maths following the Edexcel course. In addition we offer AS Use of Maths following the AQA course which incorporates Free Standing Mathematics Qualifications (FSMQ). Mathematics is a popular choice at 'A' level, currently there are two groups in each year as well as a separate Further Mathematics group. In Year 12 students take the C1, C2 and S1 modules to gain an AS in Mathematics. In Year 13 students take C3, C4 and M1 modules to gain an A2 in Mathematics. Further Mathematics students study C1, C2, S1, M1, D1 and FP1 modules in Year 12 and go on to study C3, C4, S2, M2, FP2 and D2 modules in Year 13. Use of Maths students currently study the 'Algebraic and Graphical Techniques' and 'Modelling with Calculus' FSMQ's as part of the Use of Maths qualification. The information given to students about current courses available at Key Stage 4 and 5 is reproduced below. KEY STAGE 4 Subject: MATHEMATICS Exam Board: EDEXCEL Why study Mathematics? GCSE Mathematics is a qualification that is required by most employers and is often compuslory for entry to further or higher education, and so it is an important subject to study. Mathematics requires logical thinking and analytical skills that can be used in everyday life. You will study: * Number and Algebra; * Shape, Space and Measures; * Handling Data. You will learn the following skills: * Numeracy; * Logical thinking; * Problem-solving techniques; * How to work independently. Assessment: There is a choice between two levels of entry: Foundation and Higher. The grades available range from G to C at Foundation level and D to A* at Higher level. To study ‘A’ level Mathematics we would expect students to have gained A*, A or B grade and have followed the Higher Tier course. The entry tier will be decided by the Subject Leader after consultation with class teachers. The majority of pupils will continue to study at the entry tier recommended at the start of their GCSE course. However, individual performance will be monitored and, if appropriate, pupils will move tiers. Examination The Maths GCSE is a modular course meaning that the students will sit exams in November and June of Year 10 and a final exam in June of Year 11. KEY STAGE 5 MATHS LEVELS AS and A2 What will I study? AS Year Core Mathematics 1 - Indices and surds; Polynomials; Coordinate geometry and graphs; Differentiation; Sequences and series; Integration. Core Mathematics 2 - Trigonometry; Algebra; Factor theorem, Sine & cosine rule; Logs; Functions. Probability and Statistics 1 - Representation of data; Probability; Discrete random variables including uniform and normal distribution; Bivariate data including correlation and regression. A2 Year Core Mathematics 3 - Algebra and functions; Trigonometry; Further differentiation and integration; Numerical methods for solving problems. Core Mathematics 4 - Algebra and graphs; Further differentiation and integration; Differential equations; Vectors; Sequences & series. Mechanics 1 - Vector quantities; Force; Equilibrium of particles; Kinematics of particle motion in straight lines; Newton’s Laws of motion; Momentum. How will I be assessed? Each Module is externally assessed by a 1 hour 30 minute exam. Module exams take place in January and June of each year. Any special requirements? To study Advanced Level subjects you will need a minimum of 5 A*-C GCSE grades, including Maths and ideally English. You will have to agree to resit if you have failed to gain a C grade or above in English. You will need a GCSE grade B or above in Maths. A GCSE C grade would not automatically exclude you, further consultation with the Sixth Form Pastoral Leader and the Subject Leader would be required. Next steps A Level Mathematics can be a requirement for many degree courses eg Accountancy, all fields of Engineering, Computer Science, Medicine and any Mathematics related subject. Both AS and A2 are useful for many business, management and teaching courses. FURTHER MATHS LEVELS AS and A2 What will I study? AS Year Further Pure Mathematics 1 - Summation of series; Differential equations; Mathematical inequalities; Roots of polynomial equations; Complex numbers; Polar co-ordinates. Decision Mathematics 1 - Algorithms: Graph Theory; Linear Programming; Critical path analysis; Flows in networks. Mechanics 1 - Vector quantities; Force; Equilibrium of particles; Kinematics of particle motion in straight lines; Newton’s Laws of motion; Momentum. (Students will study these three units alongside the three AS units from Mathematics A Level.) A2 Year (The following is an example of what may be studied) Further Pure Mathematics 2 - Co-ordinate systems; Hyperbolic functions; Differentiation and integration. Probability and Statistics 2 - Continuous random variables; The binomial distribution; The Poisson distribution; Sampling and hypothesis tests. Decision Mathematics 2 - Game Theory; Transportation problems; Matching and allocation problems; Travelling salesman problems; Dynamic programming. Mechanics 2 - Centre of Mass; Equilibrium of a rigid body; Motion of a projectile; Projectiles; Coefficient of restitution and impulse; Energy, work and power. (Students will study these units alongside the Core 3 and Core 4 units from Mathematics A Level.) How will I be assessed? Each module is externally assessed by a 1 hour 30 minute exam. Module exams take place in January and June of each year. Any special requirements? To study Advanced Level subjects you will need a minimum of 5 A*-C GCSE grades, including Maths and ideally English. You will have to agree to resit if you have failed to gain a C grade or above in English. You will need a GCSE grade B or above in Maths. A GCSE C grade would not automatically exclude you, further consultation with the Sixth Form Pastoral Leader and the Subject Leader would be required. Students must also study Mathematics at A Level. Next steps Further Mathematics is an advantage for many university courses (including Oxbridge and Cambridge). It is often a prerequisite for Mathematics degree courses. ADDITIONAL MATHEMATICS (FSMQ) - FREE STANDING MATHS QUALIFICATION ONE THIRD OF AN AS LEVEL LEVELS AS only - one third of an AS level only What will I study? AS Year You will study four areas of Pure Maths during 3 lessons a week. These areas are: Algebra including solving equations and inequalities, polynomials and binomial expansion Co-ordinate Geometry including equation of a straight line and a circle Trigonometry including right angled triangles and the Sine and Cosine rule Calculus including differentiation and integration Each of these is used to support a topic from a recognised branch of Applied Mathematics. How will I be assessed? The assessment is by a single 2 hour examination in May/June each year, with grades A, B, C, D, E or U available. There is no coursework. As an Advanced level FSMQ this qualification carries UCAS points (grade A 20 points, grade B 17 points, grade C 13 points, grade D 10 points, grade E 7 points) equivalent to one third of an AS level at the appropriate grade. Any special requirements? To study Advanced Level subjects you will need a minimum of 5 A*-C GCSE grades, including Maths and ideally English. You will have to agree to resit if you have failed to gain a C grade or above in English. You will need a GCSE grade B or above in Maths. A GCSE C grade would not automatically exclude you, further consultation with the Sixth Form Pastoral Leader and the Subject Leader would be required. The FSMQ is intended for those students who wish to continue to study Mathematics beyond GCSE but do not wish, or feel able, to study A Level Mathematics. This qualification would support A levels with a high Maths content such as Physics, Chemistry and Engineering. Next steps A level 3 qualification in Mathematics is useful for many further education courses and employment. Departmental contact Mrs A Mulrain (Acting Subject Leader)