 ### Maths at Sir Thomas Rich's

“There is no branch of Mathematics, however abstract, which may not some day be applied to phenomena of the real world”
Nikolai Lobachevsky

We strongly believe here at Sir Thomas Rich’s that Mathematics is hugely important; mathematical thinking is vital for all members of society for use in the workplace, business, finance and for personal decision making. Mathematics is the fundamental tool for understanding science, engineering, technology and economics.

Mathematics equips pupils with powerful ways to describe, analyse and problem solve; pupils who are functional in Mathematics are able to think independently in applied and abstract ways, applying reason and assessing risk. Mathematics is a creative discipline and its language is international. A huge array of career pathways can be opened up to students who are skilled in Mathematics and we provide a superb starting point for our learners. #### Key Stage 3 - Years 7, 8 & 9

Teaching Arrangements: Year 7 – 6 periods a fortnight.
Year 8 – 6 periods a fortnight.
Year 9 – 7 periods a fortnight.

In Years 7 and 8 all students are taught in mixed ability form groups. In Year 9 students are put into six sets of three ability levels.
Homework Guidance: During Key Stage 3, pupils could be expected to complete one 60 minute (approximate) homework a week.
Topics Covered:
Year 7
• Algebraic rules for sequences
• Finding different averages and comparing them
• Using and evaluating formulae
• Equations of graphs
• BODMAS
Year 8
• Using prime factors for LCM and HCF
• Percentage increases
• Equations of straight lines
• Standard form
• Circle area and circumference
Year 9
• Equations with fractions
• Averages from grouped data
• Exponential growth graphs
• Pythagoras’ Theorem
• Trigonometry
• Simultaneous equations
Assessment Arrangements: Order Tests
Pupils will be tested each order period; this is usually for one single lesson.
End of Year Tests
Year 7: Two x 1 hour examinations (one calculator, one non-calculator).
Year 8: Two x 1 hour examinations (one calculator, one non-calculator).
Year 9: A 1 hour examination (non-calculator) plus a 1 hour examination (calculator).

It is vital that pupils build a solid foundation of skills and techniques during their first three years at the school. The GCSE course relies heavily on the repertoire of skills learned from Year 7 to Year 9, hence the need to use Key Stage 3 productively.

#### Key Stage 4 - Years 10 & 11

Teaching Arrangements: Year 10: 6 periods a fortnight.
Year 11: 6 periods a fortnight.
Homework Guidance: During Key Stage 4, pupils are expected to complete one substantial piece of homework a week. When Year 11 GCSE revision begins, the amount of time spent practising will naturally increase.
Exam Specification: AQA GCSE Mathematics Topics Covered:
Year 10
• Equations of perpendicular lines
• Surds
• Graphical inequalities
Year 11
• Algebraic fractions and functions
• Properties of circles and their equations
• Vectors
• Sine rule and cosine rule
Assessment Arrangements: Three x 1.5 hour papers (one non-calculator, two calculator) to be taken in the summer of Year 11.
Currently, those in top set also take Additional Maths. This has a single 2 hour paper in Year 11.

A good GCSE Mathematics grade opens many doors, regardless of whether you take the subject further.

#### Key Stage 5 (A Level) - Years 12 & 13

Entry Requirements: Mathematics: GCSE Grade 7 is required to study this course.
Further Mathematics: GCSE Grade 9 is required to study this course or GCSE Grade 7 alongside C in OCR Additional Maths or A in AQA Further Maths.
Teaching Arrangements: Single Mathematics: 9 periods a fortnight in Year 12 and 10 periods a fortnight in Year 13.
Further Mathematics (including Single Mathematics): 16 periods a week.
Homework Guidance: During Years 12 and 13, it is expected that students spend at least 45 minutes each night working on their Mathematics. The length of time might vary from student to student depending on factors such as ability, work output in lessons, problems encountered on a particular topic etc. It is normal that students spend up to five hours a week practising their techniques outside of lessons and private study time.
Exam Specification: Edexcel A Level Mathematics Topics Covered:
Year 12
• Pure Maths
• Calculus (differentiation and intergration)
• Logarithms and exponentials
• Coordinate geometry of the circle
• Mechanics
• Vector and scalar quantities
• Constant and variable acceleration kinematics
• Newton’s Laws
• Statistics
• Sampling techniques
• Statistical distributions
• Hypothesis testing
Year 13
• Pure Maths
• Functions – modulus, composite, inverse
• Parametric equations
• Differential equations
• Mechanics
• 2 dimensional kinematics
• Moments and equilibrium in statics
• Forces and motion with friction
• Statistics
• Hypothesis tests on the mean of a Normal distribution
• Correlation coefficient
• Conditional probability
Assessment Arrangements: All papers are taken at the end of Year 13.
Single Mathematics:
Paper 1: Pure Mathematics – 2 hour paper, 33.33% of total marks.
Paper 2: Pure Mathematics – 2 hour paper, 33.33% of total marks.
Paper 3: Statistics and Mechanics – 2 hour paper, 33.33% of total marks.
Further Mathematics:
Paper 1: Core Pure Mathematics – 1.5 hour paper, 25% of total marks.
Paper 2: Core Pure Mathematics – 1.5 hour paper, 25% of total marks.
Paper 3: Further Mechanics – 1.5 hour paper, 25% of total marks.
Paper 4: Decision Mathematics – 1.5 hour paper, 25% of total marks.

Whatever your future plans, studying A Level Mathematics will stretch your mind and endow you with abilities that stay with you for life. Whether you’re deciphering statistics or managing a budget, your mathematical background will help you to think logically, analyse data and express yourself clearly. These are fantastically valuable, transferrable skills which are highly prized by employers across every field, as well as giving you a boost on a personal level.

#### Life Beyond

University courses this subject may be required for or lead onto:
• Mathematics
• Accountancy/Banking
• Actuarial Science
• Aeronautical Engineering
• Chemical Engineering
• Computing
• Economics
• Engineering
• Mechanical Engineering
• Medicine
• Physics
• Biochemistry
• Chemistry
• Dentistry
• Environmental Science
• Finance/Insurance
• Geology/Earth Sciences
• Management Studies
• Materials Sciences/Biomedical Materials Sciences
• Optometry
• Pharmacy
• Physiotherapy
• Veterinary Science
• Architecture
• Biology
• Dietetics
• Psychology
• Sports Science
• Surveying
This is by no means an exhaustive list and students should always check the exact requirements for the university of your choice when applying. Mathematics ranks extremely highly by universities as a ‘facilitating subject’.
Even if you decide not to study a ‘numerate’ course beyond A Level, Mathematics students are widely seen as those with highly developed analytical, research and problem-solving skills. Such students are adept at tackling abstract problems, alongside tackling everyday issues like planning projects, managing budgets and even debating effectively.
Careers that Maths may lead onto:
• Engineering – Chemical, Civil, Mechanical
• Games Developer
• Software Engineer
• Web Designer
• Tax Accountant
• Auditor
• Forensic Accountant
• Actuary
• Research Scientist
• Mathematician
• Statistician
• Data Analyst
• Retail Banker
• Fund Manager
• IT Consultant
• Management Consultant
• Fluid Mechanics Researcher
• Meteorologist
• Operational Research

#### Extra Curricular

Associated Clubs/Societies/Trips:
• UKMT Junior Maths Challenge
• University of Southampton National Cipher Challenge
• Mathematics Masterclasses hosted by local universities 