Mathematics

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.

https://www.mymaths.co.uk

https://mathsgenie.co.uk

Mathematics News