## 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:

- Where they are now
- What they need to do and how they are going to improve
- How to develop their
**confidence**and**motivation**.

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

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

## 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

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 |

Roisin Fernando |
Teacher of Mathematics |

Ignus Fourie |
Teacher of Mathematics |

Wanda Gerard |
Teacher of Mathematics |

Will Gunstone |
Teacher of Mathematics - Second in department |

Emily O'Brien |
Teacher of Mathematics |

Sarah Ironside |
Teacher of Mathematics - KS3 Lead, Numeracy Lead |

Sarah Malson |
Teacher of Mathematics - Core maths lead |

Nina Smith |
Senior Vice Principal, Teacher of Mathematics |

Erin Van Wyk |
Head of Department |

Lezindi Du Buisson |
Teacher of Mathematics |

Megan Tebbutt |
Teacher of Mathematics |

## 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.