﻿ Mathematics - Subject Information - The Forest School
Search # Mathematics

 Subject Lead Mr M Massey Subject Lead (second in charge) Mr R Sinfield Teacher Mr T Li Teacher Mrs H Manning Teacher Mrs D Turner Teacher Mrs N Thiagarajan

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 extra-curricular activities, trips and visits. Students are set on entry to the school, sometimes in two half year groups, and we have a well-established 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 7-9 for GCSE and over 80% achieve at level 4-9. 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 30 students who study to A level each year. We also offer Further Maths to a small number of students.

#### KS3

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 2-D 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 3-D shapes and construction Summer activities Construction and 3-D shapes Analysing data Summer activities 3-D Shapes Calculation plus Summer activities

Please find the details for Maths at KS3

#### KS4

Mathematics – Key Stage 4

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 1-5 can be attained or at Higher level where grades 4-9 can be attained. Examinations are taken in June of year 11 and there is no assessed coursework requirement.

#### KS5

 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 Two-way 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 Newton-Raphson method Limitations of the Newton-Raphson method Fixed-point iteration Limitations of fixed-point 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 1-5 Preparation for mock exams Mock exams Review of mock exams

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.