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 
  • business decision making 

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) 

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) 

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.