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 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 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 two-year 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

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

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

Distance-time 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

Real-life 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

Real-life 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 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 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

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.

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.

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