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Mathematics
Head of Maths: Mr G Hawkett
Teacher of Maths / KS3 Coordinator: Mr T McNeill Teacher of Maths / KS4 Coordinator: Mr M Massey Teacher of Maths: Mrs D Turner Teacher of Maths: Miss N Thiagarajan Teacher of Maths/ Deputy Head of Year: Mr S Taplin
At The Forest School, we aim to make learning mathematics an enjoyable and rewarding experience for all students. They follow the National Curriculum for the subject, and this is enhanced by a number of extracurricular activities, trips and visits. Students are set on entry to the school, sometimes in two half year groups, and we have a wellestablished pattern of tests, assessments and homework. Set changes are made at regular intervals, following each of these assessments.
The department is housed in a suite of 6 classrooms, and a range of resources are used to enhance the learning of mathematics. Computer technology is used regularly by teachers and students alike, and is a standard part of the learning process.
We are very proud of our results at all Key Stages. At Key Stage 3, the vast majority of our students achieve well above expected levels. At Key Stage 4, around a third achieve at level 79 for GCSE and over 80% achieve at level 49. At A level around 75% of our students achieve at least a B grade. Our uptake for Key Stage 5 courses is very strong  we have around 40 students who study to A level each year. We also offer Further Maths to a small number of students.
At KS5 we follow the AQA syllabus 7357. The Advanced Level Mathematics course is a twoyear course based around extending your knowledge of GCSE maths into 3 further areas; Pure Mathematics, Mechanics and Statistics. Two thirds of the course is based around pure mathematics with the other third being made up of the applied modules Mechanics and Statistics. Examinations are taken in June of year 13 and there is no assessed coursework requirement.
There is an option to study at a higher level of mathematics and this leads to a second A level in Further Mathematics. For this option students follow the Edexcel syllabus 9FM0 (route k).
KS3 INCLUDES YEAR 7, 8 & 9
Mathematics – Key Stage 3
Year 7 
Year 8 
Year 9 

Half Term 1 
Integers and decimals Sequences and functions Measures 
Integers and decimals Measures Probability 
Sequences and graphs Proportional Reasoning 
Half Term 2 
Fractions, decimals and percentages Processing data Expressions and formulae 
Fractions, decimals and percentages Expressions and formulae Angles and shapes 
Geometrical reasoning and construction Equations Statistics 
Half Term 3 
Calculation and measure Probability 2D shapes and construction 
Equations and graphs Calculations Transformations 
Measures Calculations 
Half Term 4 
Integers, functions and graphs Percentages, ratio and proportion Expressions and equations 
Sequences and roots Collecting and representing data 
Graphs Probability Transformations and scale 
Half Term 5 
Transformations and symmetry Surveys and data Calculations 
Ratio and proportion Algebra 
Expressions and formulae Interpreting statistics 
Half Term 6 
Sequences and graphs 3D shapes and construction Summer activities 
Construction and 3D shapes Analysing data Summer activities 
3D Shapes Calculation plus Summer activities 
KS4 INCLUdes year 10 and 11
Mathematics – Key Stage 4
Higher 
Foundation 

Year 10  Half Term 1 
Basic Calculations Place value and rounding Adding, subtracting, multiplying and dividing Algebraic Expressions Simplifying expressions Indices Expanding and factorising single brackets Algebraic fractions Angles and Polygons Angles and Lines Triangles and quadrilaterals Congruence and similarity Angles in polygons 
Basic Calculations Place value Rounding Adding and subtracting Multiplying and dividing Algebraic Expressions Terms and expressions Simplifying expressions Indices Expanding and factorising single brackets Angles and Polygons Angles and Lines Triangles and quadrilaterals Congruence and similarity Angles in polygons 
Year 10  Half Term 2 
Basic Data Handling Representing data Averages and spread Frequency diagrams and Histograms Fractions, Decimals and Percentages Fractions and percentages Calculating with fractions Fractions, decimals and percentages 
Basic Data Handling Organising data Representing data Averages and spread Fractions, Decimals and Percentages Decimals and fractions Fractions and percentages Calculating with fractions Fractions, decimals and percentages 
Year 10  Half Term 3 
Formulae and Functions Formulae Function notation Equivalences and identities Expanding and factorising double brackets Working in 2D Measuring lengths and angles Area of 2D shapes Transformations Enlargements 
Formulae and Functions Substituting into formulae Using standard formulae Equations, identities and functions Expanding and factorising double brackets Working in 2D Measuring lengths and angles Area of 2D shapes Transformations Enlargements 
Year 10  Half Term 4 Probability 
Probability experiments Theoretical probability Mutually exclusive events Measures Estimation and approximation Calculator methods Measures and accuracy 
Probability Probability experiments Expected outcomes Theoretical probability Mutually exclusive events Measures Estimation and approximation Calculator methods Measures and accuracy 
Year 10  Half Term 5 
Equations and Inequalities Solving linear equations Solving quadratic equations Simultaneous equations Approximate solutions Inequalities Circles and Constructions Circle formulae Arcs and Sectors Circle theorems Constructions and loci 
Equations and Inequalities Solving linear equations Solving quadratic equations by factorising Simultaneous equations Inequalities Circles and Constructions Circle formulae Arcs and Sectors Circle theorems Constructions Loci 
Year 10  Half Term 6 
Ratio and proportion Proportion Ratio and scale Percentage change Factors, Powers and roots Factors and multiples Powers and roots Surds 
Ratio and proportion Proportion Ratio Percentage change Factors, Powers and roots Factors and multiples Prime factor decomposition Powers and roots 
Year 11  Half Term 1 
Basic Graphs Equation of a straight line Linear and quadratic functions Properties of quadratic functions Kinematic graphs Working in 3D 3D shapes Volume of a prism Volume and surface area 
Basic Graphs Drawing straight line graphs Equation of a straight line Distancetime graphs Working in 3D 3D shapes Volume of a prism Volume and surface area 
Year 11  Half Term 2 
Advanced Data Handling Averages from tables and Interquartile range Box plots and cumulative frequency graphs Scatter graphs and correlation Time series Advanced Calculations Calculating with roots and indices Exact calculations Standard form Advanced Graphs Cubic and reciprocal functions Exponential and trigonometric functions Reallife graphs Gradients and areas under graphs Equation of a circle 
Advanced Data Handling Frequency diagrams Averages from tables Scatter graphs and correlation Time series Advanced Calculations Calculating with roots and indices Exact calculations Standard form Advanced Graphs Properties of quadratic functions Sketching graphs Reallife graphs 
Year 11  Half Term 3 
Pythagoras, Trigonometry and Vectors Pythagoras’ theorem Trigonometric ratios Sine, Cosine and area of a triangle rules Trigonometry and Pythagoras problems Vectors Probability of Combined Events Set theory and notation Possibility spaces Tree diagrams Conditional probability 
Pythagoras, Trigonometry and Vectors Pythagoras’ theorem Trigonometric ratios Trigonometry and Pythagoras problems Vectors Probability of Combined Events Set theory and notation Possibility spaces Tree diagrams 
Year 11  Half Term 4 
Sequences Linear sequences Quadratic sequences Special sequences Units and Proportionality Compound units Converting between units Direct and inverse proportion Rates of change Growth and decay 
Sequences Sequence rules Finding the nth term Recognising special sequences Units and Proportionality Compound units Direct proportion Inverse proportion Growth and decay 
Year 11  Half Term 5 
Revision and Exam Preparation 
Revision and Exam Preparation 
At KS4 we follow the AQA syllabus 8300. There are 3 equally weighted papers lasting 1 hour 30 minutes each; 1 non calculator and 2 calculator. Entry is at either Foundation level where grades 15 can be attained or at Higher level where grades 49 can be attained. Examinations are taken in June of year 11 and there is no assessed coursework requirement.
KS5 INCLUDES YEAR 12 and 13
Year 12 
Year 13 

Half Term 1 
Indices and surds Using the laws of indices Working with surds Quadratic functions Solving quadratic equations Graphs of quadratic functions Completing the square Quadratic inequalities The discriminant Disguised quadratics Polynomials Working with polynomials Polynomial division The factor theorem Sketching polynomial functions Binomial expansion The binomial theorem Binomial coefficients Applications of the binomial theorem 
Proof and mathematical communication A reminder of methods of proof Proof by contradiction Criticising proofs Functions Mappings and functions Domain and range Composite functions Inverse functions Further transformations of graphs Combined transformations The modulus function Modulus equations and inequalities Conditional probability Set notation and Venn diagrams Twoway tables Tree diagrams The normal distribution Introduction to normal probabilities Inverse normal distribution Modelling with the normal distribution 
Half Term 2 
Using graphs Intersections of graphs The discriminant and graphs Transforming graphs Graphs of a/x and a/x² Direct and inverse proportion Sketching inequalities in two variables Coordinate geometry Distance between two points and midpoint The equation of a straight line Parallel and perpendicular lines Equation of a circle Solving problems with lines and circles Working with data Statistical diagrams Standard deviation Calculations from frequency tables Scatter diagrams and correlation Outliers and cleaning data Probability Combining probabilities Probability distributions The binomial distribution 
Sequences and series General sequences General series and sigma notation Arithmetic sequences Arithmetic series Geometric sequences Geometric series Infinite geometric series Mixed arithmetic and geometric questions Rational functions and partial fractions An extension of the factor theorem Simplifying rational expressions Partial fractions with distinct factors Partial fractions with a repeated factor General binomial expansion The general binomial theorem Binomial expansions of compound expressions Calculus of exponential and trigonometric functions Differentiation Integration Further hypothesis testing Distribution of the sample mean Hypothesis tests for a mean Hypothesis test for correlation coeffcients 
Half Term 3 
Trigonometric functions and equations Definitions and graphs of sine and cosine Definition and graph of tangent Trigonometric identities Introducing trigonometric equations Transformations of trigonometric graphs Harder trigonometric equations Triangle geometry The sine rule The cosine rule Area of a triangle Differentiation Sketching derivatives Differentiation from first principles Rules of differentiation Simplifying into terms of the form axn Interpreting derivatives and second derivatives Applications of differentiation Tangents and normals Stationary points Optimisation Statistical hypothesis testing Populations and samples Introduction to hypothesis testing Critical region for a hypothesis test 
Radian measure Introducing radian measure Inverse trigonometric functions and solving trigonometric Modelling with trigonometric functions Arcs and sectors Triangles and circles Small angle approximations Further trigonometry Compound angle identities Double angle identities Functions of the form Reciprocal trigonometric functions Further differentiation The chain rule The product rule Quotient rule Implicit differentiation Differentiating inverse functions Further integration techniques Reversing standard derivatives Integration by substitution Integration by parts Using trigonometric identities in integration Integrating rational functions 
Half Term 4 
Integration Rules for integration Simplifying into terms if the form axn Finding the equation of a curve Definite integration Geometrical significance of definite integration Vectors Describing vectors Operations with vectors Position and displacement vectors Using vectors to solve geometrical problems Introduction to kinematics Mathematical models in mechanics Displacement, velocity and acceleration Kinematics and calculus Using travel graphs Solving problems in kinematics Proof and mathematical communication Mathematical structures and arguments Inequality notation Disproof by counter example Proof by deduction Proof by exhaustion Motion with constant acceleration Deriving the constant acceleration formulae Using the constant acceleration formulae Vertical motion under gravity Multi stage problems 
Further application of calculus Properties of curves Parametric equations Connected rates of change More complicated areas Differentiated equations Introduction to differential equations Separable differential equations Modelling with differential equations Numerical solution of equations Locating roots of a function The NewtonRaphson method Limitations of the NewtonRaphson method Fixedpoint iteration Limitations of fixedpoint iteration and alternative rearrangement Numerical integrations Integration as the limit of a sum The trapezium rule Applications of vectors Describing motion in two dimensions Constant acceleration equations Calculus with vectors Vectors in three dimensions Solving geometrical problems Projectiles Modelling projectile motion The trajectory of a projectile Forces in context Resolving forces Coefficient of friction Motion on a slope 
Half Term 5 
Logarithms Introducing logarithms Laws of logarithms Solving exponential equations Exponential models Graphs of exponential functions Graphs of logarithms Exponential functions and mathematical modelling Fitting models to data Forces and motion Newton’s laws of motion Combining forces Types of force Gravity and weight Forces in equilibrium Objects in contact Newton’s third law Normal reaction force Further equilibrium problems Connected particles Pulleys 
Moments The turning effect of a force Equilibrium Revision and Exam preparation 
Half Term 6 
Catch up on areas in need of further development from half terms 15 Preparation for mock exams Mock exams Review of mock exams 
Additional information/ related activities
Each year, pupils enter the UK Mathematics Trust (UKMT) Maths challenge competition at both individual and team levels at all Key Stages. We also run a monthly maths puzzle for pupils, which is well supported by all.