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Mathematics Department

Our highly passionate team of teachers put our students learning at the centre of everything we do. We aim to create a highly effective learning environment where students want to be the best they can be in every lesson and understand:

  1. Where they are now
  2. What they need to do and how they are going to improve
  3. How to develop their confidence and motivation.

For detailed information on specifications refer to the Key Stage 4 or Key Stage 5 prospectus.

Mathematics is a core subject and strong competence in this subject is not only an essential part of our everyday lives, it is also expected from most employers and pathways into further education. Success at GCSE Mathematics can allow students to study many other subjects such as Economics, Geography and the Sciences at A level and beyond.

The Mathematics Department gives students the opportunity to study A Level Mathematics and Further Mathematics. Maths is a facilitating subject, which means it is more frequently required for entrance to University degrees and, as such, leaves students with a wide array of options when leaving post 18 studies. The study of Mathematics develops a range of logic, problem solving and thinking skills that are transferable to many different subjects and contexts. If you would like to study Mathematics at degree level it is recommended that you also complete a Further Maths A Level.

Mathematics Intent

We aim to create, in all our lessons, an environment that is entirely conducive to learning, through use of consistent, embedded routines and up-to-date, research-informed methods such as retrieval practice, interleaving and direct instruction. Our initial focus is to provide all our students with a firm foundation of mathematical skills and knowledge, upon which we then strive to build confident and capable mathematicians with not only these key skills, but also a strong grasp of the reasoning and problem-solving skills required to apply those skills in different contexts. We endeavour to provide our students with the support, and also the challenge, required to facilitate consistent improvement, through both effective, impactful lessons and homework that reinforces the learning taking place in school.

Enhancement Opportunities

The department embeds problem solving opportunities into its normal day to day lessons. There is a termly problem solving team competition as well as a project week during term 5 where groups of students attempt to challenge and solve a real world problem.

We run a wide range of weekly after school support clubs including:

  • GCSE revision clubs (open to all year 10 and 11 students)
    • Grade 7/8/9
    • Grade 5/6/7
    • Grade 4/5
  • Passport club (open by invitation to students who need extra support with their numeracy)
  • Key stage 3 revision club (open to all year 7 – year 9)
  • Further Maths support club

The Maths department have an active calendar for trips, visits and challenges including:

  • Trips to Oxford and Loughborough University and Oundle School
  • Local inter-school competitions
  • Maths Challenges such as the UKMT across all year groups.

The department are pleased to welcome the Advanced Maths Support Programme to deliver problem solving courses for our A level students to support them with their STEP, MAT and TMUA assessments.

The Curriculum

Key Stage 3

Throughout KS3 students will follow a mastery curriculum which will enable them to develop a deeper and more thorough understanding of the content covered. Our focus is fluency of the building blocks, gaining a conceptual understanding and developing mathematical reasoning.

Year 7

Term 1

Analysing and Displaying Data
• Reading and constructing frequency tables (grouped and ungrouped)
• Interpret and draw bar charts
• Find the mean, median, mode and range from a list of data

Place value and Rounding
• Place value reading and writing numbers
• Comparing and ordering numbers
• Base 10 calculations
• Rounding

Term 2

 

Number Operations
• Addition and subtraction in context
• Multiplication and division in context
• BIDMAS
• Indices 

Decimals 
• Comparing and ordering
• Four operations 

Integers
• Negative numbers
• Factors
• Multiples
• Prime Numbers

Term 3

Integers Continued

Fractions
• Fractions conceptually
• Equivalent fractions
• Adding and subtracting fractions
• Fractions of amounts

 

Term 4

Fractions, Decimals and Percentages
• FDP Conversions

Introduction to Algebra
• Manipulating terms
• Simplifying expressions
• Simple solving

Term 5

Geometry
• Angles and lines

Revision and Testing

Year 8

Term 1

Recap of key skills
• Four Operations
• BIDMAS
• Negative numbers
• Algebra

Fractions (2)
• Multiply and divide proper and improper fractions
• Fraction of an amount
• Find fractional increase and decrease

Percentages 
• Conceptual understanding of percentages
• Percentage of an amount 
• Percentage change
• Express percentages as fractions and decimals 
• Solve problems involving percentages 

Term 2

Percentages Continued

Algeba 2
• Substitution
• Simplify and manipulate algebraic expressions
• Solve linear equations
• Inequalities 
• Rearrange formulae 

Term 3

Geometry 
• Basic Area and Perimeter 

Geometry 
• Advanced Area and Circles
• Incluses examples using algebra, fractions and decimals 

Term 4

Statistics 
• Mean, median mode and range
• Stem and leaf diagrams
• Grouped data

Ratio, Proportion and Rates of Change
• Use and understand ratio notation
• Divide into ratios
• Understand multiplicative relationships
• Use compound units
• Solve problems involving direct and indirect proportion

Term 5

Geometry 3D shapes 
• Properties 
• Conversions 
• Volume
• Surface Area
• Plans and elevations 

Year 9

Term 1

Integers
•    Factors
•    Multiples
•    Primes
•    Prime factorisation
Fractions
•    Fraction arithmetic
•    Mixed numbers/Improper fractions
Fraction, Decimal and Percentage Equivalence
•    Fraction, decimal, percentage conversion
•    Comparing numbers in different forms
•    Recurring decimals
Basic Algebra, Solving Equations and Rearranging Formulae
•    Writing and simplifying expressions
•    Expanding and factorising
•    Solving linear equations
•    Rearranging formulae
Manipulating and Solving Equations
•    Forming and solving linear equations
•    Factorising and solving quadratic equations
Sequences
•    Linear sequences
•    Quadratic and geometric sequences

Term 2

Straight Line Graphs
•    Axes and co-ordinates
•    Substitution
•    Gradients and intercepts
•    Plotting and sketching straight lines
Percentages
•    Percentages of amounts
•    Multipliers
•    Percentage change
•    Reverse percentages
•    Compound interest
•    Repeated percentage change
Ratio
•    Ratio notation
•    Simplifying ratios
•    Expressing ratios in the form 1:n (or n:1)
•    Dividing in a ratio
•    Comparing ratios and fractions
Proportion
•    Direct proportion
•    Conversion graphs
•    Similar shapes
•    Scale factors
•    Scale diagrams

Term 3

Perimeter
•    Perimeter of rectilinear shapes
•    Perimeter or circles and part-circles
Angles
•    Labelling conventions
•    Drawing and measuring angles
•    Basic angles rules (on a straight line etc.)
•    Triangles and quadrilaterals
•    Angles in parallel lines
•    Angles in polygons
Area
•    Area
•    Compound area
•    Area of circles

Term 4

-Pythagoras’ Theorem
•    Determining whether a triangle is right-angled or not
•    Calculating missing side lengths
•    Pythagoras’ Theorem on co-ordinate axes
•    Pythagoras’ Theorem in 3D
Trigonometry
•    Enlargements and scale factors
•    Missing sides and angles in similar shapes
•    Ratio in similar triangles
•    Labelling conventions
•    Using trigonometric ratios to find missing sides
•    Using trigonometric ratios to find missing angles
Indices
•    Squares, cubes and roots
•    Index laws
Place Value
•    Comparing decimals
•    Decimal arithmetic
•    Standard form
Averages
•    Averages from listed data
•    Averages from frequency tables
•    Averages from grouped frequency tables
Presenting Data
•    Pictograms
•    Line graphs
•    Bar charts
•    Frequency polygons
•    Scatter graphs
•    Pie charts
•    Cumulative frequency graphs
•    Box plots
•    Histograms

Term 5

Presenting Data
•    Pictograms
•    Line graphs
•    Bar charts
•    Frequency polygons
•    Scatter graphs
•    Pie charts
•    Cumulative frequency graphs
•    Box plots
•    Histograms
Probability
•    Applying the basic probability formula
•    Sample spaces
•    Relative frequency
•    Expected frequency
•    Frequency trees
•    Venn diagrams
•    Tree diagrams
•    Dependent probability

Key Stage 4

Throughout KS4 our students will follow the pattern of 'fluency - Mathematical reasoning - problem solving'. Our aim is to create KS4 learners with the ability to make connections, reason and solve problems across the GCSE curriculum. 

Year 10 (Foundation)

Term 1

Number 
•    Four operations
•    Calculator skills
•    Squares, cubes, roots and hierarchy of operations
•    Ratio
•    Proportion
Algebra
•    Algebra: the basics, setting up, rearranging and solving equations
•    Substitution

Term 2

Number 
•    Fractions
•    Rounding and estimation
Geometry
•    Perimeter
•    Properties of polygons
•    Angles facts
Algebra
•    Simultaneous Equations
•    Perimeter problems involving algebra
Statistics
•    Probability, Venn diagrams, frequency trees and tree diagrams 

Term 3

Number 
•    Indices and standard form
Geometry
•    Pythagoras
Algebra
•    Straight line graphs
•    Linear sequences

Term 4

Number 
•    Percentages
Geometry
•    Measures
•    Trigonometry
•    Area

Term 5

Geometry
•    Volume
•    Angles in polygons
•    Transformations
Algebra
•    Expanding and factorising
•    Simultaneous equations
Statistics
•    Sampling and averages

Year 10 (Higher)

Term 1

Number
•    Calculations, checking and rounding
•    Indices, roots, reciprocals and hierarchy of operations
•    Factors, multiples, primes, standard form and surds
Algebra
•    Algebra: the basics, setting up, rearranging and solving equations
•    Sequences 
•    Graphs, plotting, gradients & perpendiculars

Term 2

Number
•    Fractions and percentages
•    Ratio and proportion 

Algebra
•    Quadratics & quadratic sequences

Term 3

Geometry
•    Polygons, angles and parallel lines
•    Pythagoras’ theorem and trigonometry

Term 4

Algebra
•    Simultaneous equations

Geometry
•    Perimeter, area and circles
•    3D forms and volume, cylinders, cones and spheres
                                                                                                                                                 Number
•    Accuracy and bounds

Term 5

Statistics
•    Averages and range
•    Representing and interpreting data and scatter graphs
•    Probability
Geometry
•    Similar shapes
•    Circle theorems
•    Transformations

Year 11 (Foundation)

Term 1

Geometry
•    Transformations
•    Congruency and similarity
Algebra
•    Equations
•    Quadratics

Term 2

Geometry
•    2D and 3D representations
•    Measures
Algebra
•    Inequalities
•    Function machines
Statistics
•    Tables, charts & graphs
•    Pie charts
•    Scatter Graphs
•    Real life graphs

Term 3

Geometry
•    Pythagoras & Trigonometry
•    Vectors

Algebra
•    Simultaneous Equations
•    Plot straight line graphs and understand parallel and perpendicular lines
•    Cubic & Reciprocal graphs

Term 4

Revision
This term will follow a review curriculum based on each individual classes needs intended to deepen understanding and make mathematical connections

Term 5

Revision
This term will follow a review curriculum based on each individual classes needs intended to deepen understanding and make mathematical connections

Year 11 (Higher)

Term 1

Algebra
•    Further quadratics
•    Quadratic, cubic and other graphs
Geometry
•    Similarity
Number
•    Surds

Term 2

Algebra
•    Iterations
•    Functions
•    Proof
•    Real life graphs
Geometry
•    Measures
•    Vectors
Statistics
•    Cumulative frequency, boxplots and histograms

Term 3

Algebra
•    Circles and tangents
Geometry
•    Further trigonometry
•    Trigonometric graphs and graph transformations
•    Congruency
•    Loci and constructions

Term 4

Revision
This term will follow a review curriculum based on each individual classes needs intended to deepen understanding and make mathematical connections

Term 5

Revision
This term will follow a review curriculum based on each individual classes needs intended to deepen understanding and make mathematical connections

Key Stage 5

Throughout KS5 our students will build upon their problem-solving skills. They will develop their Mathematical language and ability to construct a Mathematical argument as well as learning how to structure a formal proof. They will start to model situations and interpret these models to make inferences.

A Level Maths

Year 12

Term 1

Pure Mathematics:
Chapter 8 Binomial Expansion
Chapter 1  Algebraic Expressions
Chapter 2  Quadratics
Chapter 3  Equations & Inequalities
Chapter 4  Graphs & Transformations
Mechanics:
Chapter 8  Modelling 

Term 2

Pure Mathematics:
Chapter 5  Straight line Graphs
Chapter 6  Circles
Chapter 7  Algebraic Methods
Chapter 11 Vectors
Statistics:
Chapter 1  Statistical Sampling
Chapter 2  Measures of Location & Spread
Chapter 3:  Representations of data
Mechanics:
Chapter 9  Constant 

Term 3

Pure Mathematics:
Chapter 9  Trigonometric Ratios
Chapter 10  Trig Identities& Equations
Chapter 12  Differentiation
Chapter 14  Exponentials & logarithms
Statistics:
Chapter 5  Probability
Chapter 6  Statistical Distributions
Mechanics:
Chapter 10  Forces & Motion

Term 4

Pure Mathematics:
Chapter 12  Differentiation
Chapter 13  Integration
Statistics:
Chapter 7  Hypothesis Testing
Mechanics:
Chapter 11  Variable acceleration

Term 5

Pure Mathematics:
We begin our Y2 content
Chapter 1 Algebraic Methods
Chapter 2  Functions & Graphs
Statistics:
We begin our Y2 content
Chapter 5  Radians
Chapter 6  Trigonometry
Mechanics:
We begin our Y2 content
Chapter 4  Moments

Year 13

Term 1

Pure Mathematics:
Chapter 9 Differentiation
Chapter 3  Sequences & Series
Statistics:
(Y1) Chapter 4 Correlation
Chapter 1 Regression

Term 2

Pure Mathematics:
Chapter 4  Binomial Expansion
Chapter 7  Trig & Modelling
Chapter 11  Integration
Statistics:
Chapter 2  Conditional Probability
Mechanics:
Chapter 5  Forces & Friction
Chapter 6  Projectiles

Term 3

Pure Mathematics:
Chapter 11  Integration
Chapter 8  Parametric Equations
Chapter 10  Numerical Methods
Statistics:
Chapter 3  Normal Distribution
Mechanics:
Chapter 7  Forces

Term 4

Pure Mathematics:
Chapter 8  Parametric Equations
Chapter 12  Vectors
Statistics:
Chapter 3  Normal Distribution
Mechanics:
Chapter 8  Kinematics

Term 5

Revision

A Level Further Maths

Year 12

Term 1

Core Pure Mathematics:
Chapter 6 Matrices
Chapter 7  Linear Transformations
Decision 1:
Chapter 1 Algorithms
Chapter 2 Graphs & Networks
Further Mechanics 1:
We begin working through Mechanics content required from A-level Maths before we begin Further Mechanics:
Year 1 Mechanics Chapter 8.4 
Year 1 Mechanics Chapter 9.1 - 9.5 

Term 2

Core Pure Mathematics:
Chapter 7  Linear Transformations
Chapter 1 Complex Number
Chapter 2 Argand Diagrams
Decision 1:
Chapter 2 Graphs & Networks
Chapter 3 Algorithms on Graphs

Further Mechanics 1:
Year 1 Mechanics Chapter 10.3 -4 
Year 2 Mechanics Chapter 5.1 -5.3 

Term 3

Core Pure Mathematics:
Chapter 3 Series
Chapter 4 Roots of Polynomials
Chapter 8 Proof by Induction
Decision 1:
Chapter 4 Route Inspection
Chapter 5 The travelling Salesman
Further Mechanics 1:
Year 2 Mechanics Chapter 7.1, 2, 3, 5 
We now begin Further Mechanics: Chapter 1 Momentum & Impulse 

Term 4

Core Pure Mathematics:
Chapter 8 Proof by Induction
Chapter 9 Vectors
Decision 1:
Chapter 5 The travelling Salesman
Chapter 6 Linear Programming
Further Mechanics 1:
Chapter 1 Momentum and Impulse 
Chapter 2 Work energy and Power 

Term 5

Core Pure Mathematics:
Chapter 9 Vectors
Chapter 5 Volumes of Revolutions

Decision 1:
Chapter 6 Linear Programming
Further Mechanics 1:
Chapter 2 Work energy and Power 

Year 13

Term 1

Core Pure Mathematics:
We begin Y2 content
Chapter 1 Complex Numbers
Chapter 2 Series
Decision 1:
Chapter 7 The Simplex Algorithm
Further Mechanics 1:
Chapter 3 Elastic Strings and Springs 

Term 2

Core Pure Mathematics:
Chapter 3 Methods in Calculus
Chapter 4 Volumes of Revolution
Decision 1:
Chapter 8 Critical Path Analysis
Further Mechanics 1:
Chapter 4 Elastic Collisions in one dimension 

Term 3

Core Pure Mathematics:
Chapter 5 Polar Coordinates 
Core Pure Mathematics:
Chapter 6 Hyperbolic functions
Further Mechanics 1:
Chapter 5 Elastic Collisions in two dimensions 

Term 4

Core Pure Mathematics:
Chapter 7 Methods in DE’s
Core Pure Mathematics:
Chapter 8 Modelling with DE’s
Further Mechanics 1:
Revision

Term 5

Revision

Year 12 AS Level Core Maths

Term 1

• Types of data
• Collecting data
• Sampling
• Advantages and disadvantages   
• Representing data numerically
• Types of data
• Collecting data
• Sampling
• Advantages and disadvantages   
• Representing data numerically

Term 2

• Numerical calculations
• Percentages
• Interest rates
• Repayments and credit costs
• Graphical representation
• Taxation
• The mean of sample size n 
• Confidence intervals
• Correlation
• The product moment correlation coefficient 
• Regression lines

Term 3

• Finance Assess
• The modelling cycle
• Fermi Estimation
• Critical Analysis
• Presenting a logical and reasoned argument 
• Communicating mathematical approaches and solutions 
• Analysing critically 

Term 4

Revision

Term 5

Revision

 

The Team

Ben Johnson

Trust Director of Maths
bjohnson@brookeweston.org

Roisin Fernando

Teacher of Mathematics
rfernando@brookeweston.org

Thomas Fourie

Teacher of Mathematics
tfourie@brookeweston.org

Wanda Gerard

Teacher of Mathematics
wgerard@brookeweston.org

Will Gunstone

Teacher of Mathematics - Second in department
wgunstone@brookeweston.org

Emily O'Brien

Teacher of Mathematics
eobrien@brookeweston.org

Sarah Ironside

Teacher of Mathematics - KS3 Lead, Numeracy Lead
sironside@brookeweston.org

Sarah Malson

Teacher of Mathematics - Core maths lead
smalson@brookeweston.org

Nina Smith

Senior Vice Principal, Teacher of Mathematics
nsmith@brookeweston.org

Erin Van Wyk

Head of Department
evanwyk@brookeweston.org

Megan Tebbutt

Teacher of Mathematics
mtebbutt@brookeweston.org

Useful Websites and Links

Hegarty Maths

Website used during year 7/8/9 for homework but can be useful for all year groups to watch video tutorials on topics followed by a series of practice questions.

PIXL

Similar to Hegarty above but with some more bespoke GCSE content and access to PowerPoint tutorials.

Mr Carter Maths

You will need a login. See your teacher/notice board. Brilliant way of quickly practicing lots of questions on a topic and having instant access to answers.

Corbett Maths

Wonderful website that has it all. Videos, worksheets and GCSE exam practice sections.

Maths Made Easy

Website that has a wide range of GCSE practice question papers to download and work on.

On maths

Excellent website that has GCSE practice papers to work on. The best thing about them are that they self mark but also have worked solutions to help you improve.

For detailed information regarding the curriculum refer to documents below. 

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