Key Stage 3 Key Stage 4 Key Stage 5

## Mathematics

**Exam Board**: AQA

**Contact**: Mrs M. Weighill

### Course Overview

Studying Maths in the Sixth Form will allow students to develop the ability to understand mathematics and mathematical processes in a way that promotes confidence, fosters enjoyment and provides a strong foundation for progress to further study. They will understand coherence and progression in mathematics and how different areas of mathematics are connected using their mathematical knowledge to make logical and reasoned decisions in solving problems both within pure mathematics and in a variety of contexts, and communicate the mathematical rationale for these decisions clearly. The course covers Pure, Mechanics and Statistics and has no optional components.

A level Maths is taught by two teachers concurrently. In Year 12 one teacher covers the following topics: Straight Lines & Circles, Differentiation, Integration, Binomial Expansions, Statistical Sampling, Data Presentation & Interpretation, Probability & Statistical Distributions, Statistical Hypothesis Testing and Further Differentiation. The other teacher covers: Algebraic Manipulation, Quadratic & Simultaneous Equations, Graphs, Linear & Quadratic Inequalities, Trigonometry, Exponentials and Logarithms, Vectors, Proof, Kinematics in 1 Dimension, Forces & Newton’s Laws, Numerical Methods.

In Year 13 one teacher covers: Functions & Transformations, Trigonometry & Circular Measures, Further Integration, Partial Fractions & Integration, Trigonometry, Differential Equations, Further Probability, Statistical Distributions, Statistical Hypothesis Testing, Analysis of Data using Statistical Packages. The other teacher covers: Binomial Expansions, Sequences & Series, Parametric Equations, Kinematics in 2 Dimensions, Equilibrium & Resolving, Statics & Dynamics, Moments.

##### Entry Requirements:

5 GCSES 4-9 or A*-C to include English Lang or Lit Grade 5 and Maths Grade 6

##### Where can Maths take me?

There is no doubt that an A Level in Maths is well respected. It can take you on to courses in maths, engineering, architecture, physics, chemistry or computer science - to name a few! Employers know that Maths students are numerate and have the ability to think rationally and clearly. Careers are therefore extremely far-reaching!

### Assessment

A LEVEL – taken at the end of Year 13 | ASSESSMENT | % of course |
---|---|---|

Paper 1: Any content from the Pure Topics |
2 hour exam | 33.3% |

Paper 2: Any content from the Pure and Mechanics Topics |
2 hour exam | 16.6% Pure, 16.6% Mechanics |

Paper 3: Any content from the Pure and Statistics Topics |
2 hour exam | 16.6% Pure, 16.6% Statistics |

# Further Maths

##### A Level

**Exam Board**: AQA

**Contact**: Mrs M. Weighill

### Course Overview

If you are an exceptional mathematician and looking for a maths based career, then further maths is for you. It takes you beyond the scope of single maths and is a separate A Level in its own right. If you choose to study maths and further maths A Levels, it takes up only one of your options; you are recommended to choose 2 other subjects.

You will be taught maths and further maths separately from the other A level mathematicians. You will have two teachers; one will deliver all the Pure Topics and the other all the Mechanics and Statistics Topics. We do not offer the option of Decision Maths. In Year 12 you will cover all the content from the maths course followed by these Further Maths Topics: Proof, Complex Numbers, Matrices, Polar Coordinates, Hyperbolic Functions, MacLauren’s, Further Calculus and Vectors; alongside Dimensional Analysis, Momentum and Collisions, Work, Energy, Power, Circular Motion; Discrete Random Variables, Continuous Random Variables, Chi Tests and Confidence Intervals.

You will take an A/S exam in further maths (not in Maths though). This will give you a qualification so you will be able to opt in Year 13 to either continue with further maths or switch to A Level maths only. In Year 13 you will first cover the remainder of the A level content and then complete the Further Maths content revisiting and further developing all the Year 12 further maths topics and additionally studying; Differential Equations, Numerical Methods, Centres of Mass and Moments, Exponential and T distributions.

##### Entry Requirements:

5 GCSES 4-9 or A*-C to include English Lang or Lit Grade 5 and Maths Grade 7

##### Where can Further Maths take me?

There is no doubt that an A Level in Maths is well respected. It can take you on to courses in maths, engineering, architecture, physics, chemistry or computer science - to name a few! Employers know that maths students are numerate and have the ability to think rationally and clearly. Careers are therefore extremely far-reaching!

### Assessment

AS LEVEL Further Maths – taken in May/June of Year 12 | ASSESSMENT | % of course |
---|---|---|

Paper 1: Further Pure MathsPaper 2: Further Maths |
1 hour 30 minute exam 1 hour 30 minute exam |
50% 25% Mechanics, 25% Statistics |

A LEVEL Maths | ASSESSMENT | % OF course |

Paper 1: Any content from the Pure TopicsPaper 2: Any content from the Pure & Mechanics TopicsPaper 3: Any content from the Pure & Statistics Topics |
2 hour exam 2 hour exam 2 hour exam |
33.3% 16.6% Pure, 16.6% Mechanics 16.6% Pure, 16.6% Statistics |

A LEVEL Further Maths | ASSESSMENT | % OF course |

Paper 1: Any content from the Further Pure TopicsPaper 2: Any content from the Further Pure TopicsPaper 3: Any content from Further Mechanics & Statistics |
2 hour exam 2 hour exam 2 hour exam |
33.3% 33.3% 16.6% Pure, 16.6% Statistics |

**Contact**: Mrs M. Weighill

If you have any questions or queries relating to the Maths curriculum please email HeadOfMaths@ecclesbourne.derbyshire.sch.uk for more information.