# Mathematics

As a Maths Department we aim for our students to become fluent in the fundamentals of mathematics. We want them to develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. Through varied and frequent practice with increasingly complex problems, we want our students to be able to reason mathematically by following a line of enquiry, conjecturing relationships, develop arguments, justify proofs and be able to use mathematical language to be able to solve mathematical problems. We want our students to become confident to use mathematics in everyday situations in order that they can solve problems which are presented to them and to know the skill of being able to break down problems into a series of simpler steps, and to learn the skill of persevering when seeking solutions. Our aim is for our students to be able to develop a strong knowledge and skills base to be able to progress to the next key stage, as well as to develop key transferable skills which they can use in other subjects. We encourage our students to experience different extra-curricular opportunities and to discuss mathematics outside of the classroom situation, and to also have the opportunity to become peer mentors so that they can practise explaining mathematical concepts to younger students.

Our Aim

The Mathematics Faculty has fully implemented the Year 7, 8 & 9 national curriculum, aiming to achieve the objectives for able students. There is a strong emphasis on the development of mental and oral Mathematics skills, with a direct interactive teaching method. Calculators are used where appropriate, and some topics involve the use of computers. Investigation work is incorporated into the course, and the more able are encouraged with homework.

Year 7, 8 & 9 students are entered for both the Junior and Intermediate UK Mathematics Trust (UKMT) challenges with notable successes each year.

The Faculty also runs a thriving lunchtime Mathematics support club, and enters a Year 7, 8 & 9 team in the UKMT Team Challenge held at Manchester University.

Year 7 students are taught in forms, before setting is introduced in Year 8 (selection for Year 8 sets will be based on Year 7 examination results, AfL test results and teacher recommendations).

We aim to help students gain confidence in their abilities, to work on their own or to ask for help as appropriate, to persevere with problems, and above all, to enjoy their Mathematics.

Additionally, Computing is delivered within Year 7, 8 & 9 Mathematics. They receive 1 hour of Computing each week.

Extra Curriculum

- Year 10 Maths Support Club
- Year 11 Maths Support Club
- Year 12 Maths Support Club
- Year 13 Maths Support Club
- KS4 Mentoring
- KS5 Mentoring
- Fibonacci Day
- NSPCC Number Day
- UKMT Maths Challenge
- Senior Maths Challenge November
- Intermediate Maths Challenge February
- Pi Day
- World Maths Day
- Year 7 Maths Club
- Year 8 Chess Club
- Year 9 STEM Club
- KS3 Maths Support

Books Used by Maths Department

#### Key Stage 3 Learning Objectives

Year 7

- 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
- Working with powers
- 2D shapes and 3D shapes
- Real life graphs
- Transformations
- Fractions, decimals and percentages
- Constructions and loci
- Probability
- Scale drawing and measures
- Graphs

- Powers and roots
- Quadratics
- Inequalities, equations and formulae
- Collecting and analysing data
- Multiplicative reasoning
- Non-linear graphs
- Accuracy and measures
- Graphical solutions
- Trigonometry
- Mathematical reasoning

#### Key Stage 4 Learning Objectives

- Basic number
- Fractions, ratio and proportion
- Statistical diagrams and averages
- Number and sequences
- Ratio and proportion
- Angles
- Transformations, constructions and loci
- Algebra manipulation
- Length, area and volume
- Linear graphs and equations
- Right angled triangles
- Similarity
- Exploring and applying probability
- Powers and standard form
- Equations and inequalities
- Counting, accuracy, powers and surds
- Quadratic equations
- Sampling and more complex diagrams
- Combined events
- Properties of circles
- Variations
- Triangles
- Real-life graphs
- Algebraic fractions and functions
- Vector geometry

#### Key Stage 5 Learning Objectives

Year 12 AS Mathematics

- Algebraic expressions
- Quadratics
- Equations and Inequalities
- Graphs and Transformations
- Straight line Graphs
- Circles
- Algebraic Methods
- The Binomial Expansion
- Trigonometric Ratios
- Trigonometric Identities and equations
- Vectors
- Differentiation
- Integration
- Exponentials and Logarithms
- Data collection
- Measures of location and spread
- Representations of data
- Correlation
- Probability
- Statistical distributions
- Hypothesis testing
- Modelling in mechanics
- Constant Acceleration
- Forces and Motion
- Variable Acceleration

AS Further Mathematics With Statistics

- Complex numbers
- Matrices
- Argand diagrams
- Series
- Linear transformations
- Roots of polynomials
- Proof by induction
- Algorithms
- Vectors
- Graphs and Networks
- Linear Programming
- Algorithms on graphs
- Critical path
- Route inspection
- Volumes of revolution
- Discrete random variables
- Hypothesis testing
- Poisson distribution
- Chi-squared test

AS Further Mathematics with Mechanics

- Complex numbers
- Matrices
- Argand diagrams
- Series
- Linear transformations
- Roots of polynomials
- Proof by induction
- Algorithms
- Vectors
- Graphs and Networks
- Linear Programming Algorithms on graphs
- Critical path
- Route inspection
- Volumes of revolution
- Moments and Impulse
- Elastic collisions in one dimension
- Work, energy and power

Year 13 A-Level Mathematics

- Algebraic Methods
- Functions and Graphs
- Sequences and Series
- Binomial Expansion
- Radians
- Trigonometric Functions
- Trigonometry and Modelling
- Parametric Equations
- Differentiation
- Numerical Methods
- Integration
- Vectors
- Regression, correlation and hypothesis testing
- Conditional Probability
- The normal distribution
- Moments
- Forces and Friction
- Projectiles
- Applications of forces
- Further Kinematics

A-Level Further Mathematics With Statistics

- This simplex Algorithm
- Critical path analysis
- Hypothesis testing
- Ch-squared tests
- Probability generating functions
- Methods in calculus
- Volumes of revolution
- Polar coordinates
- Methods in differential equations
- Modelling with differential equations
- The planarity algorithm
- Floyd’s algorithm
- Route inspection
- The travelling salesman problem
- Geometric and negative binomial
- Central limit Theorem
- Quality of tests
- Complex numbers
- Series
- Hyperbolic functions

A-Level Further Mathematics with Mechanics

- This simplex Algorithm
- Critical path analysis
- Momentum and Impulse
- Elastic collisions in two dimensions
- Methods in calculus
- Volumes of revolution
- Polar coordinates
- Methods in differential equations
- Modelling with differential equations
- The planarity algorithm
- Floyd’s algorithm
- Route inspection
- The travelling salesman problem
- Geometric and negative binomial
- Elastic springs and strings
- Complex numbers
- Series
- Hyperbolic functions