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The Maths Department at Campion aims to teach in a meaningful context while providing opportunities for pupils to use their skills creatively through problem solving and investigation.

Each teacher endeavours to provide a variety of experiences in each lesson within the programs of study.

The department encourages pupils to work to their full potential and to experience a sense of achievement. We help pupils to identify relationships between different aspects of mathematics to help stimulate curiosity and interest.

"The mathematical sciences particularly exhibit order, symmetry and limitation; and these are the greatest forms of the beautiful." (Aristotle: 384 - 322 BC)

Students in Key Stage 3 undertake study in the topics of number, algebra, angles and shape, and data. A breakdown of the work covered in each year is detailed below.

Students in Year 7 undertake a wide-ranging introduction to mathematics, including introductions to numbers, shape and angles, algebra, and probability. The course is broken into:

**Autumn Term**- Number (1): place value, 4 operations estimating BIDMAS
- Angles: rounding a point, straight line, compass points
- Algebra (1): number machines, general terms
- Handling Data (1): 3 averages and range

**Spring Term**- Number (2): negative numbers and coordinates
- Shape (2): triangles and quadrilaterals, constructions
- Algebra (2): multiples, LCM and HCF, types of numbers
- Handling Data (2): graphs and questionnaires

**Summer Term**- Number (3): fractions (four operations, equivalent fractions)
- Shape (3): area and perimeter of rectilinear shapes, area of parallelograms, triangles and trapezia
- Algebra (3): like terms, four operations, solving equations, removing single brackets
- Handling Data (3): probability
- Number (4): decimals and percentages
- Shape (4): volume of solids and units

Students in Year 8 build upon their work in Year 7, revisiting topics including numbers, algebra and data handling. The course is broken into:

**Autumn Term**- Number (1): long multiplication, long division, directed numbers
- Algebra (1): types of numbers, roots, prime factors, sequences (linear and quadratic)
- Shape (1): properties of triangles, quadrilaterals, symmetry, parallel lines
- Handling Data (1): probability

**Spring Term**- Handling Data (1 continued): experimental and theoretical probabilities, Venn diagrams
- Number (2): decimals
- Number (3): fractions and percentages
- Algebra (2): collecting like terms, brackets and factorisation

**Summer Term**- Shape (2): area and circumference of a circle
- Handling Data (2): constructing and reading from graphs, scatter diagrams, stem and leaf
- Algebra (3): equations and plotting of graphs
- Shape (3): transformation of shapes
- Handling Data (3): mean, median and mode from frequency tables

In Year 9, students round their knowledge of mathematics before entering GCSE mathematics in Year 10. The course is broken into:

**Autumn Term**- Number (1): fractions and decimals, rounding, standard form
- Shape (1): area and volume of 2D and 3D shapes
- Algebra (1): sequences, simplifying, brackets, solving equations

**Spring Term**- Handling Data (1): graphs, averages, cumulative frequency curves
- Number (2): fractions and decimals
- Algebra (2): brackets, factorisation, simultaneous equations
- Shape (2): geometry, angles of polygons, Pythagoras' Theorem

**Summer Term**- Handling Data (2): probability and relative frequency
- Number (3): percentages and inverse percentages, social applications, ratio and proportion
- Algebra (3): power rules, negative and fractional powers
- Algebra (4): graphs, quadratic and cubics, gradients

Exam Board |
Subject Leader |
---|---|

Miss M Carpenter |

The aims of the Mathematics Department for those studying GCSE are to enable students to:

- develop knowledge, skills and understanding of mathematical methods
- select and apply mathematical techniques to solve problems
- reason, make deductions and draw conclusions
- interpret and communicate information in a variety of ways appropriate to context

The foundation work is started in Year 9 and continued into Year 10 and 11. The decision as to which level (Higher or Foundation) a student takes is left until the Mock results taken in Year 11 but generally Sets 1 - 4 will take Higher and 5 - 7 will take Foundation.

At GCSE, there are two tiers of assessment for mathematics: foundation and higher. The qualification consists of three equally weighted written exams at either foundation or higher tier (i.e. you cannot sit a combination of foundation and higher exams).

**Paper 1**is a non-calculator exam lasting 1 hour and 30 minutes, and is worth 80 marks.**Papers 2 and 3**are calculator exams, each lasting 1 hour and 30 minutes and worth 80 mark.

Note that for all three papers, questions are set in both mathematical and non-mathematical contexts. The grades given at the end of the GCSE (on a scale of 9 to 1) are based on the total marks from all three papers, where 9 is the highest achievable grade. The final grades achievable at the end of the GCSE are:

**Foundation Tier:**Grades 1 to 5**Higher Tier:**Grades 4 to 9

There is a greater emphasis on mathematical problem solving, reasoning and communication in the new GCSE Mathematics course. Students will need to learn more formulae and, with the change in structure of exams, more will be demanded of them.

In Year 10, the GCSE Mathematics course is broken into:

**Autumn Term**- Algebra (1): sequences (linear and quadratic), single and double brackets, factorisation (single and quadratic)
- Geometry: exterior and interior angles of polygons, circle theorems
- Arithmetic: fractions and decimals, accuracy, standard form

**Spring Term**- Arithmetic (continued): accuracy, percentages, ratio
- Handling Data: grouped data, averages, cumulative frequency curves, probability
- Algebra (2): indices, equations, simultaneous equations

**Summer Term**- Probability: mutually exclusive and independent events, conditional probability
- Pythagoras: distance between two coordinates, surd form
- Trigonometry: 2-dimensional problems, bearings, angles of elevation and depression

The GCSE Mathematics course in Year 11 is broken into:

**Autumn Term**- Area and Volume: volumes and surface areas of 2D and 3D shapes, formulae in reverse, Arc length and area of sectors, units
- Coordinate Geometry: mid-point of a line, equation of a line, inequalities and regions, 3D coordinates
- Transformations: reflections, rotations, enlargements and translations

**Spring Term**- Handling Data: revision of graphs and averages, histograms
- Algebra: indices, surds, rationalisation, algebraic fractions
- Coordinate Geometry: quadratic graphs, cubics, reciprocals
- Transformations: stretches, translations of graphs

**Summer Term**

For all sets the syllabus will be finished by now and time is spent revising for public exams. Each set will have past paper practice. This involves a paper per week, which can be found on Fronter. These will be handed in on a weekly basis. If students have any difficulties, help can be found in the Maths office.

The Mathematics Department aims to encourage pupils to develop good working habits as early as possible in the course. Every encouragement is given to assist the pupils with their problems. Greater emphasis is made on - non use of the calculator to perform calculations. Pupils need to be proactive if they have problems with the work. The mathematics department is available every lunchtime for help.

Mathematics is one of the core subjects. Skills taught arise in many other subjects, e.g. physics, chemistry, geography etc. Success and good working habits can only help to enhance these subjects. Many pupils each year progress to take A-Level mathematics in the Sixth Form.

Exam Board |
Entry Requirements |
Subject Leader |
---|---|---|

Students must have at least a grade 7 at GCSE |
Miss M Carpenter |

To develop an understanding of mathematics and mathematical processes in a way that promotes confidence and fosters enjoyment.

Proof, Algebra and functions, Coordinate geometry in the (x,y) plane, Sequences and series, Trigonometry, Exponentials and logarithms, Differentiation, Integration, Numerical methods and Vectors.

Statistical sampling, Data presentation and interpretation, Probability, Distributions – Binomial and Normal, Hypothesis testing.

Quantities and units in Mechanics, Kinematics, Forces and Newton’s Laws, Moments.

The A level consists of 3 two hour papers, each out of 100. Paper 1 and 2 contain questions on any topics in the Pure Mathematics content while Paper 3 is split into Section A - Statistical content and Section B - Mechanics content.

A level Mathematics is an acceptable qualification for degrees in mathematics, biological sciences, engineering, environmental sciences, computer science, medicine and vocational fields such as law, accountancy, surveying etc.

A level mathematics is also an acceptable entry qualification into careers in banking, accountancy and other financial and business areas, engineering, computing, electronics, surveying, architecture, etc.

Exam Board |
Entry Requirements |
Subject Leader |
---|---|---|

Edexcel |
Students must have at least a grade 8 at GCSE |
Miss M Carpenter |

To develop an understanding of mathematics and mathematical processes in a way that promotes confidence and fosters enjoyment.

Proof, Complex numbers, Matrices, Further Algebra and Functions, Further Calculus, Further Vectors.

Complex Numbers, Further Algebra and Functions, Further Calculus, Polar Coordinates, Hyperbolic Functions and Differential equations

Distributions (Discrete and Continuous), Hypothesis Testing and Chi squared tests.

Momentum and Impulse, Collisions, Work and energy, Elastic strings and springs.

Probability distributions, Combinations of random variables, other hypothesis tests, Probability generating functions, Quality of tests.

Further kinematics, Further dynamics, Motion in a circle, Elastic collisions in two dimensions

The A level consists of 4, one hour and 30 minute papers, each out of 75. The options for Paper 3 and 4 are given as above.

A level Further Mathematics is an acceptable qualification for degrees in Mathematics, Biological sciences, engineering, environmental sciences, computer science, medicine and vocational fields such as law, accountancy, surveying etc.

A level Mathematics is an acceptable entry qualification into careers in banking, accountancy and other financial and business areas, engineering, computing, electronics, surveying, architecture, etc.