# Mathematics

## Why do we study Maths?

Mathematics is a universal part of human culture. It is the tool and language of commerce, engineering and other sciences – physics, computing, biology etc. It helps us recognise patterns and to understand the world around us. Mathematics plays a vital, often unseen, role in many aspects of modern life, for example:

• space travel
• safeguarding credit card details on the internet
• modelling the spread of epidemics
• predicting stock market prices

As society becomes more technically dependent, there will be an increasing requirement for people with a high level of mathematical training. Analytical and quantitative skills are sought by a wide range of employers. Competency in Mathematics can leads to careers that are exciting, challenging and diverse in nature.

Mathematics is an exciting and challenging subject which continues to develop at a rapid rate across many research areas. It has a natural elegance and beauty. Taking a real world problem and creating and applying mathematical models to aid understanding is often hugely satisfying and rewarding.

## Programme of Study

### Key Stage 3 – Years 7, 8 and 9

 KS3 YEAR 7 YEAR 8 AUTUMN Place Value and Rounding   Calculating with integers, decimals, positive and negative numbers   Multiplication and Division of large numbers   Rules of Indices   Factors, Multiples and Primes (including product of prime factors)   Averages and Probability   Area of 2D shapes   BIDMAS, substation and simplifying expressions   Calculating with fractions, decimals and percentages   Metric Conversions and Time   Pie Charts Unit 8.08 Algebraic manipulation   Unit 8.09 Solving Equations   Unit 8.10 Sequences   Unit 8.11 Angles and Polygons SPRING Drawing and measuring lines and angles   Angle facts and properties of triangles and quadrilaterals   Constructing shapes and angles   Area and Volume   Expressions, Equations and Sequences   Graphs of linear functions   Metric Conversions Unit 8.12a Averages and Spread   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 SUMMER Bar Charts, Vertical line charts and pie charts   Scatter Diagrams and Stem and Leaf Diagrams   Frequency tables from grouped and ungrouped data   Averages and Probability from diagrams and charts   Constructions and Loci   Transformations 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)   Unit 9.06b Simultaneous Equations   Revision and catch up

 KS3 YEAR 9 – FOUNDATION YEAR 9 - HIGHER AUTUMN Place Value   Calculations, Rounding and Estimation   Rules of Indices and Roots   Factors, Multiples and Primes   Averages and Range, Frequency Tables and Two Way Tables   Stem and leaf diagrams and comparing distributions   Pie Charts, Bar Charts, Histograms and Frequency Polygons   Scatter Graphs Calculations, Rounding and Estimation   Rules of Indices, Reciprocals and Standard Form    Factors, Multiples and Primes   Averages and Range, Frequency Tables and Two Way Tables   Stem and leaf diagrams and comparing distributions   Pie Charts, Bar Charts, Histograms and Frequency Polygons   Scatter Graphs   Expressions (Substitution, Expanding Brackets and Factorising)   Surds SPRING Expressions (Substitution, Expanding Brackets and Factorising)   Solving Equations and Changing the subject   Linear and Non Linear Sequences   Inequalities   Fractions, Decimals and Percentages Solving Equations and Changing the subject   Linear and Non- Linear Sequences   Fractions, Decimals and Percentages   Percentage Change and Multipliers   Ratio and Proportion SUMMER Properties of shapes and Angle facts   Angles in Polygons and Angles in Parallel Lines   Fractions, Indices and Reciprocals   Standard Form   Perimeter and Area   Volume and Surface Area of prisms Angles in Polygons and Angles in Parallel Lines   Pythagoras and Trigonometry   Perimeter, Area and Circles   Volume and Surface area of prisms, spheres, cones and pyramids   Density and Pressure

#### Key Stage 4 – Years 10 and 11

 KS4 YEAR 10 – FOUNDATION YEAR 10 - HIGHER AUTUMN Multiples  Factors  Standard Form  Proportion  Solving Equations Indices  Ratio and Proportion,  Percentages  Surds   Rearranging Formulae SPRING Straight Line Graphs   Algebraic Manipulation  Compound Measures,   Types of Graphs  Simultaneous Equations Coordinate Geometry  Quadratics  Compound Measures  Real Life Graphs  Simultaneous Equations SUMMER Probability,   Averages  Pythagoras and Trigonometry  Sequences Probability  Further Statistics  Pythagoras  Trigonometry  Sequences

 KS4 YEAR 11 – FOUNDATION YEAR 11 - HIGHER AUTUMN Estimation  Area and Perimeter  Volume and Surface Area  Angles in Polygons  Similarity  Scale Diagrams Limits of Accuracy  Arcs and Sectors  Spheres and Pyramids  Circle Theorems  Bearings  Congruence and Similarity  Solving Quadratics SPRING Transformations  Inequalities  Further Algebraic Manipulation   Rearranging Formulae Trigonometric Graphs  Transformations of Graphs  Quadratic Inequalities  Algebraic Proof  Iterative Formulae   Functions   Vectors   Equations of Circles SUMMER Tailored revision (content to be decided by individual teachers) Tailored revision (content to be decided by individual teachers)

#### 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)

## Useful Resources

Key Stage 3

• Sparx
• MathsWatch
• CGP KS3 Revision Guide

Key Stage 4

• Sparx
• MathsWatch
• mathsgenie.co.uk
• corbettmaths.com
• CGP Revision Guide
• CGP Exam Questions
• Pearson KS4 Revision Guide
• Pearson KS4 Revision Workbook

Key Stage 5

## Homework

Home learning is used to further develop and consolidate the concepts taught in class. This will consist of both written assignments and online tasks that are completed throughout the year. We predominantly use Sparx for online activities and past exam questions for written tasks.

Homework for Key Stage 3, 4 and 5 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

The UK Maths Challenge

Our biggest competitions are the Junior, Intermediate and Senior Mathematical Challenges, which have over 700 000 entries across the country 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.