**Head of Department: **Miss M Davies

**Faculty Staff: **Mr S Arnold (Second in Department)**, **Mrs J Cleveland, Mr D Cooper, Mr A Niamir, Mr R Purcell, Mrs L Wilford

**Level of teaching: **Key Stage 3, Key Stage 4, Key Stage 5 at The New Sixth (Maths and Further Maths)

As a department we are committed to the philosophy that during their time with us, every student will have a positive experience of learning Mathematics. They will show continuous progression and improvement and achieve their full potential. We aim to achieve this by creating a supportive, controlled, learning environment. Also by ensuring that objective-led lessons, interactive teaching styles, and assessment for learning are embedded in our schemes of work and teaching.

In particular, we wish each student to develop a genuine feeling of how numbers fit together; the ability to carry out calculations, understand the significance of results and estimate whether or not an answer is reasonable. We want our students to be secure and confident in the ability to apply mathematics in everyday situations and develop an understanding of the part which mathematics plays in the world. We strive to ensure students have the confidence to experiment and make mistakes, and persevere when problems arise.

**Key Stage 3 **(Years 7-9)

Students are taught in ability sets from the start of Year 7. There will be opportunities throughout the year to move up and down sets based upon student progress. Students will have a regular assessment and this will focus on the topics covered that term, however they will also be expected to use prior knowledge to solve problems.

The Key Stage 3 program of study forms the building blocks for the Key Stage 4 curriculum.

The new curriculum for mathematics introduces topics not previously taught in KS4 mathematics. These now focus on a more holistic approach to mathematics. There continues to be three main areas of study, Number, Geometry and Statistics, but with an emphasis on processing skills and application of functional skills.

We aim to encourage students not to focus on one area of mathematics at a time, but to see how a topic sits within a multitude of other mathematical ideas and concepts.

**Year 7**

**Set 1**

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

**Set 2**

Analysing and displaying data

Number skills

Expressions, functions and formulae

Decimals and measures

Fractions

Probability

Ratio and proportion

Lines and angles

Sequences and graphs

Transformations

**Set 3**

Analysing and displaying data

Calculating

Expressions, functions and formulae

Graphs

Factors and multiples

Decimals and measures

Angles and lines

Measuring and shapes

Fractions, decimals and percentages

Transformations

**Year 8**

**Set 1**

Factors and powers

Working with powers

2D shapes and 3D solids

Real-life graphs

Transformations

Fractions, decimals and percentages

Constructions and loci

Probability

Scale drawings and measurements

**Set 2**

Number

Area and volume

Statistics, graphs and charts

Expressions and equations

Real-life graphs and straight line graphs

Decimals and ratio

Lines and angles

Calculation with fractions

Straight-line graphs

Percentages, decimals and fractions

**Set 3**

Number and properties in calculations

Shapes and measures in 3D

Statistics

Expressions and equations

Decimals calculations

Angles

Number properties

Sequences

Fractions and percentages

Probability

**Year 9**

**Set 1**

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

**Set 2**

Indices and standard form

Expressions and formulae

Dealing with data

Multiplicative reasoning

Constructions

Equations, inequalities and proportionality

Circles, Pythagoras and prisms

Sequences and graphs

Probability

Comparing shapes

**Set 3**

Number calculations

Sequences and equations

Statistics

Fractions, decimals and percentages

Geometry in 2D and 3D

Algebraic and real-life graphs

Multiplicative reasoning

Algebraic and geometric formulae

Probability

Polygons and transformations

**Key Stage 4 **(Years 10-11)

**Course Code: **GCSE **Mathematics A (linear)** Edexcel 1MA0

**Exam Board Specification: **www.edexcel.com/quals/gcse/gcse10/maths/maths-a/Pages/default.aspx

The GCSE course encourages students to be inspired, moved and challenged by following a broad, coherent, satisfying and worthwhile course of study. This should help learners to develop confidence in, and a positive attitude towards mathematics, and to recognise the importance of mathematics in their own lives, as well as preparing them to make informed decisions about technology, the management of money and further learning opportunities and career choices.

There are three overlapping areas of study:

**Statistics and Number**

This includes working with numbers and the number system, fractions, decimals and percentages, ratio and proportion, the language of algebra, sequences, functions and graphs, the data handling cycle, data collection, presentation, analysis, and interpretation, and probability.

**Number and Algebra**

This includes working with numbers and within the number system, further skills relating to fractions, decimals percentages and ratio, expressions and equations, sequences, functions and graphs.

**Geometry and Algebra**

This includes further work on expressions and equations, sequences, functions and graphs, trigonometry, properties of angles and shapes, mensuration, vectors.

Students will prepare for the Edexcel Linear Mathematical course. There are two tiers of assessment, Foundation (covering grades 1 to 5) and Higher (covering grades 4 to 9). Candidates will be entered at the tier most appropriate to their attainment at the time of entry.

Topics covered may change in order but include:

**FOUNDATION**

Integers and place value

Factors, multiples and primes

Indices, roots and BIDMAS

Decimals and standard form

Algebra: the basics

Expanding and factorising single brackets

Expressions and simple substitution into formulae

Averages and range

Tables, charts and graphs

Pie charts

Scatter graphs

Fractions

Decimals and percentages

Statistics and questionnaires

Angles, lines and symmetry

Polygons and parallel lines

Setting up, rearranging and solving equations

Inequalities

Sequences

Perimeter and area

3D forms and volume

Real-life graphs

Straight-line graphs

Transformations

Ratio and proportion

Pythagoras and trigonometry

Probability I

Probability II

Multiplicative reasoning

Plans, elevations and nets

Constructions, loci and bearings

Trial and improvement. Changing the subject

Quadratic equations: expanding and factorising

Quadratic equations: graphs

Circle Geometry

Fractions and reciprocals

Indices and standard form

Similarity and congruence in 2D

Vectors

Rearranging equations, graphs of cubic and reciprocal functions and simultaneous equations

**HIGHER**

Calculations checking and rounding

Factors, multiples and primes

Indices, roots and BIDMAS

Decimals and standard form

Algebra: the basics

Expanding and factorising single brackets

Expressions and simple substitution into formulae

Averages and range

Tables, charts and graphs

Pie charts

Scatter graphs

Fractions

Decimals and percentages

Statistics and questionnaires

Cumulative Frequency, box plots, histograms

Angles, lines and symmetry

Polygons and parallel lines

Setting up, rearranging and solving equations

Inequalities

Sequences

Perimeter and area

3D forms and volume

Real-life graphs

Straight-line graphs

Quadratic, cubic and other graphs

Transformations

Ratio and proportion

Pythagoras and trigonometry

Probability

Multiplicative reasoning

Multiplicative reasoning

Plans, elevations and nets

Constructions, loci and bearings

Change the subject, algebraic fractions, rationalising surds, proof. iterative methods

Quadratic equations: expanding and factorising

Solving quadratic equations and simultaneous equations, inequalities

Circle Geometry

Circle Theorems

Fractions and reciprocals

Similarity and congruence in 2D and 3D

Vectors and geometric proof

Cubic, Reciprocal and exponential graphs. Area under a graph and gradient.

Further trigonometry

Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics

Accuracy and bounds

**Key Stage 5** (Years 12-13)

**Course Code: **A Level **AS Level Mathematics** Edexcel 8MAO

**Course Code: **A Level **Mathematics** Edexcel 9MAO

**Course Code: **A Level **Further Mathematics** Edexcel 9FMO

**Course Code: **A Level **AS Level Further Mathematics** Edexcel 8FMO

**Course Code: **A Level **Mathematics in Context (Core Maths)** Edexcel 7MCO

**A Level Mathematics AS Mathematics Edexcel 7MAO**

Exam Board Specification: https://qualifications.pearson.com/en/qualifications/edexcel-a-levels/mathematics-2017.html#tab-ASMathematics

**Recommended Entry Requirements **

- A strong 6 GCSE Mathematics
- Studying Science, Business or Geography at A level and with a keen interest and strength in Mathematics

**Why AS Mathematics?**

AS Maths is studied over two years and in addition to the three A Level subjects.

AS Maths is offered as a fourth subject to students who enjoyed studying GCSE Maths but do not want to take a full A Level. It is particularly useful to students that are studying another subject with a maths based element e.g. Physics, Biology, Chemistry, Geography and Psychology.

Continuing to study mathematics at this level will grow your logical problem solving skills that can be applied to many other areas of life and it instils a positive approach to problem solving by training your brain to assume there is a solution to every problem.

**A Level Mathematics in Context (Core Maths) Edexcel 7MCO**

Exam Board Specification: https://qualifications.pearson.com/en/qualifications/edexcel-mathematics-in-context/mathematics-in-context.html

**Recommended Entry Requirements **

- Grade 4-6 GCSE Mathematics
- Recommended for students studying Science, Business or Geography at A Level

**Why Core Mathematics?**

Core Maths is a Level 3 qualification, accredited by Ofqual, and equivalent but distinct from an AS qualification. It is studied over two years and in addition to the three A Level subjects.

Core Maths is an extremely exciting new course that will give you an advantage with university applications. It is also aptly called Maths in Context and is distinct from other maths courses in that you apply mathematics to real life contexts. You will play the role of different people from sports coaches, doctors to business owners and environmental workers and use maths to overcome real life challenges.

**A Level Mathematics Edexcel 9MAO**

Exam Board Specification: https://qualifications.pearson.com/en/qualifications/edexcel-a-levels/mathematics-2017.html

**Recommended Entry Requirements **

- Grade 7 GCSE Mathematics
- Grade 6 GCSE Physics or Grade 6-6 GCSE Combined Science

**Why Mathematics?**

Maths is a dynamic, exciting and relevant subject which has played a significant role in the progress of the human species, for example, in our understanding the movement of the planets; advancements in engineering; establishment and growth of economies and our understanding of human behaviour.

A level Maths includes the study of Pure Maths and the application of mathematics to the physical world through Statistics and Mechanics. The course develops strength and confidence in the application of algebraic and other mathematical skills and helps you to solve real life problems using logical mathematical argument. During the course, you will solve a variety of real-life problems such as how large a population will be, what forces should be applied to an object, whether an electrical component is likely to work and whether a medical procedure is effective. You will also engage in solving complex abstract problems.

**A Level Further Mathematics Edexcel 9FMO**

Exam Board Specification: https://qualifications.pearson.com/en/qualifications/edexcel-a-levels/mathematics-2017.html#tab-3

**Recommended Entry Requirements **

- Grade 8 GCSE Mathematics
- Must also be taking the A level Mathematics course

**Why Mathematics?**

Further Maths is studied over two years and in addition to the three A Level subjects. It is only available to students taking A Level Mathematics.

Further Maths is a fantastic course for those who are passionate and talented in Mathematics. It extends the Pure and Applied Maths topics studied in Mathematics A Level and is highly recommended if you wish to study Mathematics at degree level.

For further information see Mathematics Course Description.

For more information on **AS Mathematics** and the course requirements and specification, click here.

For more information on **A Level Core Mathematics** and the course requirements and specification, click here.

For more information on **A Level Mathematics** and the course requirements and specification, click here.

For more information on **A Level Further Mathematics** and the course requirements and specification, click here.

#### Enrichment and Links:

Throughout their time at school students have the opportunity to take part in the National Maths Challenges at Junior, Intermediate and Higher levels. We participate in the Masterclass program run annually by Bath University and often offer students the opportunity to attend the Kilve Court Gifted and Talented courses.