# Welcome to the Mathematics Department

### IN THIS SECTION

### USEFUL LINKS

### MATHEMATICS TWEETS

### We wish to promote Numeracy and a zest for Mathematics in our students. We hope that each student finds purpose in their work and is able to apply their Mathematical knowledge and skills across the curriculum and throughout their lives.

### Year 7 Pi

The following topics are covered in this programme of study:-

- Analysing and Displaying Data
- Calculating
- Expressions Functions and Formulae
- Real Life Graphs
- Factors and multiples
- Decimals and Measure
- Angles and Lines
- Measuring and Shape
- Fractions, Decimals and Percentages
- Transformations

### Year 7 Theta

The following topics are covered in this programme of study:-

- Analysing and Displaying Data
- Number Skills
- Equations, Functions and Formulae
- Decimals and Measures
- Fractions
- Probability
- Ratio and proportion
- Lines and Angles
- Transformations
- Number
- Area and Volume
- Statistics, Graphs and Charts
- Expressions and Equations
- Real Life Graphs

### Year 7 Delta

The following topics are covered in this programme of study:-

- Analysing and Displaying Data
- Number Skills
- Equations, Functions and Formulae
- Fractions
- Angles and Shapes
- Decimals
- Equations
- Multiplicative Reasoning.
- Perimeter, Area and Volume
- Sequences and Graphs
- Factors and Powers
- 2D and 3D Shapes
- Real Life Graphs
- Transformations
- Reflections
- Enlargements
- Rotations
- Translations

**Click on this link for a detailed breakdown. Year 7 programme of study (PDF format)**

### Year 8 Pi

The following topics are covered in this programme of study:-

• Number Calculations

• Shape and measure in 3D

• Statistics

• Expressions and Equations

• Angles

• Number Properties

• Sequences

• Fractions and Percentages

• Probability

**Click on this link for a detailed breakdown. Year 8 Pi**

### Year 8 Delta

The following topics are covered in this programme of study:-

- Powers and Roots
- Working with Powers
- 2D and 3D Solids
- Real life Graphs
- Transformations
- Fractions, Decimals and percentages
- Constructions and Loci
- Probability
- Scale Drawings and measures

**Click on this link for a detailed breakdown. Year 8 Delta**

### Year 8 Theta

The following topics are covered in this programme of study:-

- Number
- Area and Volume
- Statistics, graphs and charts
- Expressions and equations
- Real Life Graphs
- Decimals and ratio
- Lines and angles
- Fractions
- Straight Line Graphs
- Percentages, Decimals and Fractions

### Year 9 Pi

The following topics are covered in this programme of study:-

• Number Calculations

• Shape and measure in 3D

• Statistics

• Expressions and Equations

• Angles

• Number Properties

• Sequences

• Fractions and Percentages

• Probability

**Click on this link for a detailed breakdown. **

**Year 9 Pi, Term 1, Term 2, Term 3**

### Year 9 Delta

The following topics are covered in this programme of study:-

- Powers and Roots
- Working with Powers
- 2D and 3D Solids
- Real life Graphs
- Transformations
- Fractions, Decimals and percentages
- Constructions and Loci
- Probability
- Scale Drawings and measures

**Click on this link for a detailed breakdown. **

**Year 9 Delta, Term 1, Term 2, Term 3**

### Year 9 Theta

The following topics are covered in this programme of study:-

- Number
- Area and Volume
- Statistics, graphs and charts
- Expressions and equations
- Real Life Graphs
- Decimals and ratio
- Lines and angles
- Fractions
- Straight Line Graphs
- Percentages, Decimals and Fractions

**Click on this link for a detailed breakdown. **

**Year 9 Theta, Term 1, Term 2, Term 3**

Assessments will take place during the academic year.

### Foundation

The following topics are covered in this programme of study, please click on the link below for more detail:-

- Three dimensional shapes
- Equations and inequalities
- Graphs 2
- Transformations
- Ration and proportion
- Line diagrams and scatter graphs
- Probability
- Pythagoras theorem/formulae

Assessments in Year 10 are week commencing 13th October, 26th January and 20th April.

**Click here to view a detailed breakdown. Year 10 Foundation programme of study (PDF format)**

### Year 10 Higher

The following topics are covered in this programme of study:-

- Inequalities and formulae
- Pythagoras Theorem and trigonometry 1
- More graphs and equations
- Quadratic and simultaneous equations
- Area and volume 2
- Line diagrams and scatter graphs
- Indices, standard form and surds
- Similar shapes
- Proportion 2
- Probability
- Pythagoras’ Theorem and trigonometry 2
- Transformations of functions
- Circle Geometry
- Algebraic fractions and algebraic proof
- Vectors

Assessments take place throughout the academic year.

**Click here to view a detailed breakdown. Year 10 Higher programme of study (PDF format)**

### Year 11 Foundation Programme of Study

Listed below are some of the topics covered in this programme of study, to view the extensive list and detailed content please click on the link below:-

- Angles
- Data
- Algebra
- Decimals and Rounding
- Area and Circumference of circles
- Constructions and Loci
- Percentages
- Ratio and Proportion
- Scatter Diagrams
- Probability and Relative Frequency
- Pythagoras
- Formulae

Assessments in Year 11 take place throughout the academic year.

**Click here to view a detailed breakdown. Year 11 Foundation programme of study (PDF format)**

### Year 11 Higher

Assessments in Year 11 take place throughout the academic year.

Listed below are some of the topics covered in this programme of study, to view the extensive list and detailed content please click on the link below:-

- Proportion
- Algebraic fractions
- Graphs
- Simultaneous equations
- Proof
- Area
- Volume
- Trigonometry
- Transformations
- Data

**Click here to view a detailed breakdown. Year 11 Higher programme of study (PDF format)**

### A Level Mathematics

It supports any of the Sciences, Geography and Psychology. On its own the subject develops understanding of algebraic proof, mechanics and statistical techniques.

### A Level Further Mathematics

It is designed for the most able mathematicians. It is particularly suitable for students wanting to study Mathematics at university but also supports engineers and scientists.

Both A Level and A Level Further Mathematics carry great weight with universities. The courses can be divided into six units, three are taught in Year 12 and three in Year 13. Wollaston School follows the AQA examination course. There is a 90 minute examination for each unit each unit, each contributing to one sixth of the final award.

In Year 12 many units of work are studied, Core 1 – Core 4, Statistics and Mechanics. Below are a few examples of the units, please click on the link below for the full list of areas covered.

### Core 1

Quadratic functions and their graphs Factorisation of quadratics

### Core 2

Laws of indices Transformations

### Statistics

Standard deviation and variance of grouped data Discrete random variables

### Core 3

Definition of functions Logarithms

### Core 4

Simplifying rational functions Using the addition theorems

### Mechanics

Kinematics graphs Friction

### Year 12 Further Mathematics

Three units of work are studied in Year 12, Further Pure 1, Further Pure 2 and Decision 1.

**Unit 1 –** Further Pure 1

- Series
- Matrices
- Induction
- Complex Numbers
- Polynomial Equations
- Modulus and Argument

**Unit 2 – **Further Pure 2

- Trigonometrical Functions
- McLaurens series
- Hyperbolic Functions
- Polar Coordinates
- Newton-Raphson
- Reduction Formulae

**Unit 3 – **Decision 1

- Algorithms
- Graphs and networks
- Connector problems
- Matching
- Route Inspection
- Linear Programming

In Year 13 three units of work are covered throughout the year, Core 3, Core 4 and Mechanics.

### Core 3

- Definition of functions
- Domain and range of functions
- Inverse functions and their graphs
- Modulus function
- Composition of functions
- Simple trigonometrical identities and equations
- Exponential functions
- Logarithms
- Differentiation and integration of trigonometrical functions
- Integration by parts
- Chain rule
- Numerical methods of integration.

### Core 4

- Simplifying rational functions
- Expressing a function in terms of partial fractions
- Cartesian and parametric equations of curves (parabola,ellipse,hyperbola)
- Using the addition theorems
- Rcos(x+/- a)
- Exponential growth and decay
- Further differentiation and integration ( include partial fractions)
- Vectors in two and three dimensions
- Vector equations of lines
- Intersection of lines
- Scalar product

### Mechanics 1

- Simple mathematical models
- Displacement, velocity, speed and acceleration
- Kinematics graphs
- Vertical motion under gravity
- Vectors in two dimensions
- Resultant velocities
- Force diagrams
- Friction
- Normal reaction forces
- Resultant of forces
- Conservation of momentum
- Newton’s laws of motion
- Motion of connected particles
- Projectiles (max height, range)

In Year 13 three units of work are covered throughout the year, Unit 4, Unit 5 and Unit 6.

### Unit 4 – Further Pure 3

- Lines and Planes
- Vector Product
- De Moivre’s Theorem
- Group Theory
- Calculus

### Unit 5 – Further Pure 4

- Vectors
- Matrix Algebra
- Linear Independence
- Determinants
- Solution of Linear Equations

### Unit 6 – Mechanics 2

- Moments
- Centre of Mass
- Variable Acceleration
- Uniform Circular Motion
- Hookes Law
- Work, Energy and Power