# Mathematics

## Courses

Key Stage 4 Courses Key Stage 5 Courses
Edexcel GCSE Mathematics Edexcel AS Level Mathematics
Edexcel A Level Mathematics

## Why do we study Mathematics?

It would be difficult, perhaps impossible, to live a normal life in the 21st century without making use of mathematics in some kind. As such, mathematics is useful, be it through the use of arithmetic skills used at home or at the workplace, in the development of scientific and modern technology and the utilisation of more and more advanced mathematical tools in management, commerce and industry.

Along with the national curriculum we aim for pupils to:

• Become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately
• Reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language
• Solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions

## The Mathematics Programme of Study

### Key Stage 3 – Years 7, 8 and 9

KS3 YEAR 7 YEAR 8 YEAR 9
AUTUMN

Settling in and Unit 7.01 Place value
Unit 7.02 The Four Operations
Unit 7.03a Fractions and Unit 7.03b Calculations with Fractions
Unit 7.04 Fractions decimals and Percentages
Unit 7.05 Negative Numbers
Unit 7.06 Perimeter Area and Units
Unit 7.07 Angles and 2D shapes
December test
Unit 7.08 Introduction to Algebra (Cont. after break)
Revision and catch up

Unit 8.08 Algebraic manipulation
Unit 8.09 Solving Equations
Unit 8.10 Sequences
Unit 8.11 Angles and Polygons
December test
Revision and catch u

Unit 9.07 Equations of lines
Unit 9.08 Probability
Revision and catch up
Unit 9.09 Pythagoras (Only Pythag)
Unit 9.10 Surface area and Volume
Revision and catch up

SPRING

Unit 7.08 Introduction to Algebra (cont. from above)
Unit 7.09 Coordinates and Graphs
Unit 8.01 Order of Operations
Unit 8.02 Indices Factors Mulitples and Primes
Revision and catch up
Unit 8.02 Indices Factors Mulitples and Primes
Unit 8.03 Rounding and Estimation
Unit 8.04 Ratio and Proportion
Unit 9.08 'Simple' Probability - Support section only
Revision and catch up

Unit 8.12b Averages from Tables
Unit 9.01 Powers and roots
Revision and catch up
Unit 9.02 Recurring Decimals
Unit 9.03 Percentages and Percentage Change
Unit 9.04 Proportion and Proportionality
Revision and catch up

Unit 9.09 Trigonometry (Trig only)
Unit 9.11 Transformations
Revision and catch up
Unit 9.12 Constructions and Loci
Unit 9.12 Bearings
Unit 10.01 Multiples, Factors, Indices and Standard form
Revision and catch up

SUMMER

Unit 9.08 'Simple' Probability - Support section only
Unit 8.05 Compound Measures
Unit 8.06 Circles
Revision and catch up
Unit 8.07 3D Shapes
EofY Exam
Unit 8.08 Algebraic Manipulation
Revision and catch up

Unit 9.04 Proportion and Proportionality
Unit 9.05 Algebraic manipulation and Proof
Unit 9.06a Solving Equations (including Quadratics)
Revision and catch up
Unit 9.06a Solving Equations (including Quadratics)
EofY Exam
Unit 9.06b Simultaneous Equations
Revision and catch up

Unit 10.02 Ratio and Proportion
EofY Exam
Revision and catch up
Unit 10.03 Percentages & Growth and Decay
Unit 10.04 Surds
Revision and catch up

Key Stage 4 – Years 10 and 11

Year 10 Higher

• Autumn Term: Equations and inequalities, Probability, Multiplicative reasoning
• Spring Term: Similarity and congruence, Trigonometry, Further statistics
• Summer Term: Equations and graphs, Circle theorems

Year 10 Foundation

• Autumn Term: Graphs, Transformations, Ratio and proportion
• Spring Term: Right-angled triangles, Probability, Multiplicative reasoning
• Summer Term: Constructions, loci and bearings, Quadratic equations and graphs

Year 11 Higher

• Autumn Term: Algebraic proof, Vectors and geometric proof
• Spring Term: Proportion and graphs, Tailored revision (content to be decided by individual teachers)
• Summer Term: Tailored revision (content to be decided by individual teachers)

Year 11 Foundation

• Autumn Term: Perimeter, area and volume, Fractions, indices and standard form
• Spring Term: Congruence, similarity and vectors, Algebraic proof, Tailored revision (content to be decided by individual teachers)
• Summer Term: Tailored revision (content to be decided by individual teachers)

### Key Stage 5 – Years 12 and 13

Year 12 Mathematics

• Autumn Term: Algebraic expressions, Quadratics, Equations and inequalities, Binomial expansion, Measures of location and spread, Algebraic methods, Differentiation, Modelling in mechanics, Differentiation, Integration, Representations of data, Correlation, Vectors, Constant acceleration
• Spring Term: Straight line graphs, Circles, Data collection, Probability, Trigonometric ratios, Forces and motion, Trigonometric identities, Statistical distributions, Equations and inequalities, Graphs and transformations, Variable acceleration
• Summer Term: Exponentials and logarithms, Hypothesis testing, Algebraic methods, Functions and graphs

Year 12 Further Mathematics

• Autumn Term: Complex numbers, Series, Algebra and functions, Calculus, Matrices
• Spring Term: Matrices, Proof, Vectors
• Summer Term: Vectors, Tailored revision (content to be decided by individual teachers)

Year 13 Mathematics

• Autumn Term: Radians, Trigonometric functions, Regression, correlation  and hypothesis testing, Differentiation, Moments, Integrations Part 1, Conditional probability, Integration Part 2, Forces and friction
• Spring Term: Sequences and series, Normal distribution part 1, Binomial expansion, Projectiles, Trigonometry and modelling, Normal distribution part 2, Vectors, Applications of forces part 1
• Summer 1: Parametric equations and parametric differentiation, Application of forces part 2, Numerical methods, Further kinematics
• Summer 2: Tailored revision (content to be decided by individual teachers)

Year 13 Further Mathematics

• Autumn Term: Complex numbers, Series, Algebra and functions, Calculus, Matrices, Proof, Vectors
• Spring Term: Complex numbers, Further algebra and functions, Series, Further calculus, Polar coordinates, Hyperbolic functions
• Summer 1: Differential equations, Tailored revision (content to be decide by individual teachers)
• Summer 2: Tailored revision (content to be decided by individual teachers)

## Important textbooks, resources and websites we use at each Key Stage

Key Stage 3

• mathswatch.co.uk
• CGP KS3 Revision Guide
• hegartymaths.com

Key Stage 4

• mathswatch.co.uk
• mathsgenie.co.uk
• corrbettmaths.com
• hegartymaths.com
• Pearson KS4 Revision Guide
• Pearson KS4 Revision Workbook
• CGP Revision Guide
• CPG Exams Questions

Key Stage 5

• Course texts (Person Edexcel AS, A level mathematics and Further mathematics books)
• Drfrostmaths.com
• examsolutions.net

## Homework in Mathematics

Homework for both Key Stage 3 and Key Stage 4 is set online and follows the school homework policy

• Completed on a weekly basis
• Detentions are set for missed homework and repeated missed homework
• Students are offered support for homework through our homework help clubs
• Extra homework may be set by the teacher especially in the run up to key assessment points

## Enrichment Opportunities in Mathematics

UKMT Mathematical Challenge

The UK Mathematics Trust was founded in 1996 and our charitable aim is to advance the education of young people in mathematics. We do this by working with hundreds of volunteers across the UK to organize competitions promoting problem solving and team work and other mathematical enrichment activities.

Our biggest competitions are the Junior, Intermediate and Senior Mathematical Challenges, which have over 700 000 entries each year, and are the UK's most popular school competitions. We invite the highest-scoring students to take part in follow-on rounds such as the Junior, Grey, Pink and Senior Kangaroos and the Junior, Cayley, Hamilton and Maclaurin Olympiads.

We invite high scorers in the Senior Mathematical Challenge to sit the British Mathematical Olympiad Round 1, which feeds in to the training and selection of the team to represent the UK at the prestigious International Mathematical Olympiad, the annual Olympic games of mathematics, and other international competitions.

## Gifted and More Able Students in the Mathematics Department

Gifted and talented students will participate in the UK Maths Challenge, a national competition available to all year groups. Furthermore, they will be encouraged to attend our after-school club, which is led by our teachers and will allow them to stretch the pupils beyond the normal curriculum.