# Mathematics Faculty

The Mathematics Faculty is focused on ensuring that all students, regardless of ability, achieve their full potential. We aim to develop students’ personal and mathematical confidence to enable them to tackle problems confidently, to develop students’ ability to think and reason mathematically and to realise the relevance of mathematical content and skills to their everyday lives.

### Key Stage 3

All classes in Key Stage 3 have four fifty minute lessons of mathematics each week. Springboard groups in Year 7 have three of these lessons in the mathematics faculty and one of these lessons in Springboard. As pupils progress through Key Stage 3 the degree of flexibility for the faculty to group pupils according to their ability within mathematics increases.

**Year 7**

The Key Stage 3 curriculum is divided into four** areas, **each one of which is split into topics :

**Number**

PLA: Place value, Ordering, Rounding and Approximating

CAL: Calculations

FRA: Fractions, Decimals and Percentages,

MUL: Proportional Reasoning

**Algebra**

EXP: Formulae, Expressions

NUM: Factors, Multiples, Primes, Powers and Roots

COO: Coordinates and Real-life Graphs

**Shape, Space and Measures**

PER: Perimeter, Area and Volume

MEA: Angles

SYM: Properties of Shapes and Symmetry

**Handling Data**

DAT: Collecting, Representing and Analysing data

PRO: Probability

**Year 8**

The Key Stage 3 curriculum is divided into four **areas**, each one of which is split into topics :

**Number**

N1: Place value, Ordering, Rounding and Approximating

N2: Calculations

N3: Fractions, Decimals and Percentages,

N4: Proportional Reasoning

**Algebra**

A1: Formulae, Expressions, Equations and Identities

A2: Factors, Multiples, Primes, Powers, Roots and Sequences

A3: Coordinates and Graphs

**Shape, Space and Measures**

S1: Perimeter, Area and Volume

S2: Angles, Pythagoras’ theorem and Trigonometry

S3: Measures

S4: Symmetry, Transformations, Similarity and Congruence

**Handling Data**

H1: Collecting, Representing and Analysing data

H2: Probability

Each area is visited in Year 7 and revisited in Year 8. Content is differentiated and all groups are taught content to extend their knowledge and understanding as far as possible. Tasks are included throughout which focus on the development of Personal, Learning and Thinking Skills.

### Key Stage 4

The majority of students in Key Stage 4 have four fifty minute lessons of mathematics each week. Some students have five fifty minute lessons of mathematics each week. Classes are organised by ability sets in Key Stage 4, although the exact structure varies depending on the year group and needs of the students. All students are entered for GCSE Mathematics and all Mathematics GCSEs are assessed at the end of the course.

Students in Years 9, 10 and 11 develop the skills and knowledge covered in Years 7 and 8 in; Number; Algebra; Ratio, Proportion and Rates of Change; Geometry and Measures; Probability and Statistics.

Our intention is to enter all candidates for the AQA GCSE Mathematics course. Further details may be found at: www.aqa.org.uk/subjects/mathematics-8300

### Key Stage 5

Any Sixth form student who has not secured a Grade A*-C in GCSE Mathematics is given the opportunity to gain this vital qualification, studying an appropriate course for three fifty minute lessons each week.

Sixth Form students who do not wish to study mathematics to A level are able to continue their study of mathematics and support their study of subjects with mathematical content by following a two year course in Quantitative Problem Solving. The course covers; Modelling; Statistics; Finance; Working with exponentials; Working with graphs and gradients; Geometry and measures; Risk; Statistical problem solving and Use of technology.

Further details may be found at: www.ocr.org.uk

We offer AS and A levels in Mathematics and Further Mathematics. Students studying these courses in Key Stage 5 have six fifty minute lessons of mathematics each week.

Students opting to study AS level Mathematics study three Units; Core 1, Core 2 and an Applied Mathematics unit chosen from Mechanics 1, Statistics 1 or Decision 1. Students continuing to A level Mathematics then study Core 3, Core 4 and a different Applied Mathematics Unit chosen from Mechanics 1, Statistics 1, Decision 1, Mechanics 2 (available for students who have completed Mechanics 1) or Statistics 2 (available for students who have completed Statistics 1).

Students opting to study Mathematics and Further Mathematics complete A level Mathematics in Year 12 by studying Core 1, Core 2, Core 3, Core 4, Mechanics 1, Statistics 1 and Decision 1. In Year 13 they then study five units; Further Pure 1, Further Pure 2, Further Pure 3, Mechanics 2 and Statistics 2.

**Core 1:** Algebra and functions, coordinate geometry in the (x,y) plane, sequences and series, differentiation, integration

**Core 2:** Algebra and functions, coordinate geometry in the (x,y) plane, sequences and series, trigonometry, exponentials and logarithms, differentiation, integration

**Core 3:** Algebra and functions, trigonometry, exponentials and logarithms, differentiation, numerical methods

**Core 4: **Algebra and functions, coordinate geometry in the (x,y) plane, sequences and series, differentiation, integration, vectors

**Further Pure 1:** Series, complex numbers, numerical solution of equations, coordinate systems, matrix algebra, proof

**Further Pure 2:** Inequalitites, series, first order differential equations, second order differential equations, further complex numbers, Maclaurin and Taylor series

**Further Pure 3:** Further matrix algebra, vectors, hyperbolic functions, differentiation, integration, further coordinate systems

**Mechanics 1:** Mathematical models in mechanics, vectors in mechanics, kinematics of a particle moving in a straight line, dynamics of a particle moving in a straight line or plane, statics of a particle, moments

**Mechanics 2: **Kinematics of a particle moving in a straight line or plane, centres of mass, work and energy, collisions, statics of rigid bodies

**Statistics 1: **Mathematical models in probability and statistics, representations and summary of data, probability, correlation and regression, discrete random variables, discrete distributions, the Normal distribution

**Statistics 2:** The Binomial and Poisson distributions, continuous random variables, continuous distributions, samples, hypothesis tests

**Decision 1:** Algorithms, algorithms on graphs, the route inspection problem, critical path analysis, linear programming, matchings

Further details may be found at: www.edexcel.com/quals/gce/gce08//maths/pages/default

### Extra-Curricular Activities

Students are encouraged to attend the Mathematics club to take part in problem-solving activities and play mathematical games. Every year students take part in three Challenges organised by the United Kingdom Mathematics Trust at Leeds University.

The Faculty holds a number of targeted revision sessions, both after school and during holidays to support the progress and attainment of all students on GCSE, AQA Certificate, AS and A level Mathematics courses.

All mathematics staff are willing to help students individually with any aspect of their study.

### Facilities

The faculty is housed in twelve classrooms on the first floor of the main school building. Each classroom has an interactive whiteboard and visualiser. One of the classrooms is a dedicated ICT room. In addition the faculty has a set of iPads and two sets of graphical calculators. We use a variety of textbooks and electronically stored resources together with access to interactive websites. The faculty also uses a variety of practical equipment.