Maths

 Mathematics is the language that provides substitute ways of ‘seeing’ the world, it enables us to understand and predict things our brain alone could never imagine.

Mathematics is the science of logic of shape, quantity and arrangement; it helps us to understand the world around us, in everything we do. Mathematics is fundamental for everything in our daily lives, including mobile devices, architecture, art, money, engineering and even sports.

Mathematicians seek and use patterns to formulate conjectures and then endeavour to resolve truth or falsehood of these conjectures by mathematical proof. Mathematical reasoning can provide insight or predictions about nature and, often, abstract mathematical structures can be used as good models of real phenomena.

Mathematics is applicable to any kind of career that involves the environment, planning, or collecting and interpreting data. Popular careers for people with mathematics qualifications include: cryptographer, engineer, accountant, teacher, scientist, statistician, economist, architect, computer scientist, programmer, stockbroker.

GCSE CURRICULUM OUTLINE

GCSE Edexcel Mathematics

What will pupils be studying?

Pupils will be studying a range of topics that advance their learning from KS3. Pupils will have 4 hours of mathematics each week and will be set prep regularly. The course is divided into 19 units to cover all content from grade 9-1.

GCSE Specification

Year 10 • Unit 1: Number – including: arithmetic, HCF and LCM, fractional and negative indices, standard form and surds • Unit 2: Algebra – including: expanding and factorising, equations, formulae and sequences • Unit 3: Interpreting and representing data • Unit 4: Fractions, ratio and percentages • Unit 5: Angles and trigonometry • Unit 6: Graphs • Unit 7: Area and volume • Unit 8: Transformation and constructions • Unit 9: Equations and inequalities • Unit 10: Probability • Unit 11: Multiplicative reasoning • Unit 12: Similarity and congruence • Unit 13: More trigonometry • Unit 14: Further statistics • Unit 15: Equations and graphs

Year 11 • Unit 16: Circle Theorems • Unit 17: More algebra • Unit 18: Vectors and geometric proof • Unit 19 Proportion

How do pupils learn?

Pupils will acquire a range of skills through exercises from our selected textbook, use of ICT, problem solving activities, regular testing to improve retention of the content and relevant independent study.

How pupils are assessed?

Paper 1 (Non-Calculator): 1 hr 30 mins worth 33.3% of grade

Paper 2 (Calculator): 1 hr 30 mins worth 33.3% of grade

Paper 3 (Calculator): 1hr 30 mins worth 33.3% of grade

A LEVEL CURRICULUM OUTLINE

Edexcel A Level Mathematics

A Level Mathematics Specification

Paper 1 and Paper 2: Pure Mathematics

What is assessed?

•   Proof • Algebra and functions • Trigonometry • Coordinate geometry • Sequences and series • The binomial expansion • Differentiation • Integration • Numerical methods • Vectors • Exponentials and logarithms

How is it assessed?

•   Written examinations: 2 hours per paper •   100 marks per paper • 33.33% of the qualification per paper

Paper 3: Statistics and Mechanics

What is assessed?

• Statistical sampling • Data representation and interpretation • Probability • Statistical distributions • Statistical hypothesis testing • Correlation and regression • The normal distribution • Quantities and units in mechanics • Kinematics • Forces and Newton’s laws • Dynamics • Moments

How is it assessed?

• Written exam: 2 hours • 100 marks • 33.33% of the qualification

A LEVEL CURRICULUM OUTLINE

Edexcel A Level Further Mathematics

A Level Further Mathematics Specification

Paper 1 and Paper 2: Core Pure Mathematics (Compulsory)

What is assessed?

•   Complex numbers • Argand diagrams • Series • Roots of polynomials • Matrices • Linear transformations • Proof by induction • Vectors • Methods in calculus • Volumes of revolution • Polar coordinates • Hyperbolic functions • Methods in differential equations • Modelling with differential equations

How is it assessed?

•   Written examinations: 1 hour 30 minutes per paper •   75 marks per paper • 25% of the qualification per paper

Paper 3 and Paper 4: Options from:

What is assessed?

• Further Pure Mathematics • Further Statistics • Further Mechanics • Decision mathematics

How is it assessed?

• Written exam: 1 hour 30 minutes per paper • 75 marks per paper • 25% of the qualification per paper

ENRICHMENT OPPORTUNITIES/ FIELD TRIPS

UMKT Maths Challenge

Pupils are encouraged to enter the UKMT individual maths challenges. There are three levels of difficulty: senior challenge for Year 13 or below, intermediate challenge for Year 10 or below and junior challenge for Year 8 or below. Historically, pupils at Tettenhall College have achieved well and obtained scores that put them in the top 10% of the country. Some of our pupils have been invited to more difficult challenges.

The UMKT also offer team challenges and pupils can join a team of four elite mathematicians to challenge local schools. These competitions are offered for Year 13 or below and Year 8 or below.

National Cipher Challenge

During our extended day activity on a Friday, pupils can opt to join a team of codebreakers in a competition against other teams across the country. The National Cipher Challenge is organised by the University of Southampton School of Mathematics annually and challenges pupils to think both logically and laterally around an exciting branch of applied mathematics. Pupils learn how to break ciphers such as Caesar ciphers, transposition ciphers and even the infamous Vigenère cipher!

Rubik’s Cube Solving

Also, part of the extended day activities on Fridays, Mr Hallam teaches pupils how to solve a Rubik’s cube. The club begins by pupils solving the tradition 3x3 cube but those who can solve the 3x3 with ease soon progress onto larger more challenging cubes including a 6x6 cube!

YEAR 7-9 CURRICULUM OUTLINE

During KS3 pupils will be challenged and stretched by consolidating skills learnt for KS2 mathematics but also interweaving new content. The level of challenge increases across the key stage, but topics of interest will be explored to a deeper level. Our pupils are encouraged to think deeply about the structure of the mathematics to achieve a more sophisticated understanding of what they are doing.

In Year 7, the topics that pupils cover include: analysing and displaying data, number skills, equations, functions and formulae, fractions, angles and shapes, decimals, multiplicative reasoning, perimeter, area and volume, sequences and graphs.

In Year 8, the topics that pupils cover include: factors and powers, working with powers, 2D shapes and 3D solids (including circles and Pythagoras’ theorem), real-life graphs, transformations, fractions, decimals and percentages, constructions and loci, probability, scale drawings and measurements, graphs.

In Year 9, the topics that pupils cover include: powers and roots, quadratics, inequalities, equations and formulae, collecting and analysing data, multiplicative reasoning, non-linear graphs, accuracy and measures, graphical solutions, trigonometry, mathematical reasoning.

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