**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.

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**Key Stage 3** - Years 7, 8 & 9

**Some Topics Covered:**

- Algebraic rules for sequences
- Finding different averages and comparing them
- Using and evaluating formulae
- Equations of graphs
- BODMAS

- Using prime factors for LCM and HCF
- Percentage increases
- Equations of straight lines
- Standard form
- Circle area and circumference

- Equations with fractions
- Averages from grouped data
- Exponential growth graphs
- Pythagoras’ Theorem
- Trigonometry
- Simultaneous Equations

It is vital that pupils build a solid foundation of skills and techniques during their first three years here. The GCSE course relies heavily on the repertoire of skills learned from Year 7 to Year 9, hence the need to use KS3 productively.

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

**Exam Specification:**AQA GCSE Mathematics

**Some Topics Covered:**

- Geometric and quadratic sequences
- Equations of perpendicular lines
- Surds
- Graphical inequalities

- Algebraic fractions and functions
- Properties of circles and their equations
- Vectors
- Sine rule and cosine rule

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

**Exam Specification:**Edexcel A-Level Mathematics

**Topics Covered:**

**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

**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

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.

**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
- Financial Advisor
- Fund Manager
- IT Consultant
- Management Consultant
- Fluid Mechanics Researcher
- Meteorologist
- Operational Research

**Associated Clubs / Societies / Trips:**

- UKMT Junior Maths Challenge
- University of Southampton National Cipher Challenge
- Mathematics Master Classes – hosted by local universities