# Key Stage 5 Maths

At Claremont, students will follow the Edexcel A- level Mathematics syllabus.

At Claremont the entry requirement for A level Maths is a grade 7 or above.

The qualification enables students to:

- understand mathematics and mathematical processes in a way that promotes confidence, fosters enjoyment and provides a strong foundation for progress to further study
- apply mathematics in other fields of study and be aware of the relevance of mathematics to the world of work and to situations in society in general
- use 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
- recognise when mathematics can be used to analyse and solve a problem in context
- represent situations mathematically and understand the relationship between problems in context and mathematical models that may be applied to solve them
- read and comprehend articles concerning applications of mathematics and communicate their understanding
- take increasing responsibility for their own learning and the evaluation of their own mathematical development.

- EXAM STRUCTURE: Mathematics A Level

Students will sit 3 exams.

Each paper is 2 hours long and worth 100 marks each.

Paper 1: Pure Mathematics 1

Paper 2: Pure Mathematics 2

Paper 3: Applied Mathematics

There is a huge amount of modelling and problem solving required for success in A Level Mathematics. In addition to excellent teaching we provide pupils with access to a variety of online resources to support their learning, including a full electronic copy of the main textbook used to support the course.

## Course Content

#### Year 12 Maths

Year 12 | Topics Covered | Assessments |

Autumn Term | P1 - Algebraic Expressions | |

P2 - Quadratics | ||

P3 - Equations and Inequalities | Topic assessments after each topic | |

P4 - Graphs and Transformations | ||

P5 - Straight line graphs | Cumulative Assessment at end of Half Term | |

P6 - Circles | ||

P7 - Algebraic Methods | December Mock Exam | |

P9 - Trigonometric Ratios | ||

P10 - Trig Identities and Equations | ||

P12 - Differentiation | ||

Spring Term | P14 - Exponentials and Logarithms | |

P13 - Integration | ||

P8 - Binomial Expansion | ||

A1 - Data collection | ||

A2 - Measures of location and spread | Topic assessments after each topic | |

P11 - Vectors | ||

A4 - Correlation | Cumulative Assessment at end of Half Term | |

A3 - Representation of Data | ||

A5 - Probability | ||

A6 - Statistical distributions | ||

A8 - Modelling in mechanics | ||

A9 - Constant acceleration | ||

A10 - Forces and Motion | ||

Summer Term | A6 - Statistical distributions | |

A7 - Hypothesis testing | ||

A10 - Forces and motion | Topic assessments after each topic | |

A11 – Variable acceleration | ||

P1 - Algebraic methods | Cumulative Assessment at end of Half Term | |

P2 - Functions and graphs | ||

P4 - Binomial Expansion | End of Year Exams (UCAS Predictions) | |

P5 - Radians |

#### Year 13 Maths

Year 13 | Topics Covered | Assessments |

Autumn Term | P6 - Trig Functions | |

P7 - Trig and Modelling | Topic assessments after each topic | |

P8 - Parametric Equations | ||

P9 - Differentiation | Cumulative Assessment at end of Half Term | |

P11 - Integration | ||

P3 - Sequences and Series | October Mock Exam | |

P12 - Vectors | ||

A4 - Moments | ||

Spring Term | P10 - Numerical Methods | |

A1 - Regression, Hypothesis | ||

A2 - Conditional Probability | Topic assessments after each topic | |

A5 - Forces and Friction | ||

A6 - Projectiles | Cumulative Assessment at end of Half Term | |

A7 - Application of Forces | ||

A2 - Conditional Probability | February Mock Exam | |

A3 - Normal Distribution | ||

A7 - Application of Forces | ||

A8 - Further Kinematics | ||

Summer Term | Revision | |

Final A Level Exams | ||

Year 13 Maths Overview

- EXAM STRUCTURE: Further Mathematics A Level

At Claremont, students will follow the Edexcel Further Maths syllabus.

At Claremont the entry requirement for A level Further Maths is a grade 8 or above.

Students sitting the Further Mathematics A Level will be taught in a separate group for their Maths and Further Maths. The structure of the course means that they will cover the entirety of the Maths A Level in Year 12, and then the entirety of the Further Maths A Level in Year 13. There will also be an opportunity for students to sit their final A Level Maths exam in Year 12.

In addition to the A Level Maths exam,

Students will sit 4 exams.

Each paper is 2 hours long and worth 75 marks each.

Paper 1: Core Pure Mathematics 1(Required)

Paper 2: Core Pure Mathematics 2 (Required)

Paper 3 and 4: Two of; Further Mechanics 1, Further Statistics 1, Decision Mathematics 1

## Course Content

#### Year 12 Further Mathematics (A Level Maths Content)

Year 12 | Topics Covered | Assessments |

Autumn Term | P1 - Algebraic Expressions | |

P2 - Quadratics | ||

P3 - Equations and Inequalities | ||

P4 - Graphs and Transformations | ||

P5 - Straight line graphs | ||

P6 - Circles | ||

P14 - Exponentials and Logs | ||

A1 - Data Collection | Topic assessments after each topic | |

A2 - Measures of Location and Spread | ||

A3 - Representation of Data | Cumulative Assessment at end of Half Term | |

A4 - Correlation | ||

A8 - Modelling in Mechanics | December Mock Exam | |

A9 - Constant Acceleration | ||

A5 - Probability | ||

A6 - Statistical Distribution | ||

A7 - Hypothesis Testing | ||

P11 - Vectors | ||

A10 - Forces and Motion | ||

A4 - Moments | ||

P9 - Trigonometric Ratios | ||

P10 - Trig Identities and Equations | ||

P7 - Algebraic Methods | ||

P12 - Differentiation | ||

Spring Term | P1 - Algebraic Methods | |

P3 - Sequences and Series | ||

P5 - Radians | ||

A5 - Forces and Friction | ||

A11 - Variable Acceleration | ||

P8 - Parametric Equations | ||

P2 - Functions and Graphs | ||

P13 - Integration | Topic assessments after each topic | |

P9 - Differentiation | ||

A1 - Correlation | Cumulative Assessment at end of Half Term | |

A2 - Conditional Probability | ||

A3 - Normal Distribution | ||

A6 - Projectiles | ||

A7 - Application of Forces | ||

A8 - Further Kinematics | ||

P6 - Trigonometric Functions | ||

P7 - Trig and Modelling | ||

P8 - Binomial Expansion | ||

P11 - Integration | ||

Summer Term | A3 - Normal Distribution | |

P12 - Vectors | Topic assessments after each topic | |

P4 - Binomial Expansion | ||

P10 - Numerical Methods | Cumulative Assessment at end of Half Term | |

CP1 – Complex Numbers | ||

CP2 – Argand Diagrams | End of Year Exams (UCAS Predictions) | |

FM1 – Momentum and Impulse | ||

FM2 – Work, Energy and Power | Opportunity to take A Level Maths Exam |

Year 12 Further Maths Overview

#### Year 13 Further Mathematics

Year 13 | Topics Covered | Assessments |

Autumn Term | CP3 – Series | |

CP4 – Roots of Polynomials | ||

CP5 – Volumes of Revolution | ||

CP6 – Matrices | ||

CP7 – Linear Transformations | ||

FM3 – Elastic Strings and Springs | ||

FS1 – Discrete Random Variables | ||

FS2 – Poisson Distribution | Topic assessments after each topic | |

FS3 – Geo/Neg Binomial Dist | ||

FS4 – Hypothesis Testing | Cumulative Assessment at end of Half Term | |

FS5 – Central Limit Theorem | ||

CP8 – Proof by Induction | October Mock Exam | |

CP9 – Vectors | ||

CP1 – Complex Numbers | ||

CP2 – Series | ||

FM4 – Elastic Collisions in 1D | ||

FS6 – Chi-Squared Tests | ||

FS7 – Probability Generating Functions | ||

FS8 – Quality of Tests | ||

Spring Term | CP3 – Methods in Calculus | |

CP4 – Volumes of Revolution | ||

CP5 – Polar Coordinates | ||

CP6 – Hyperbolic Functions | ||

FM5 – Elastic Collisions in 2D | Topic assessments after each topic | |

D1 – Algorithms | ||

D2 – Graphs and Networks | Cumulative Assessment at end of Half Term | |

D3 – Algorithms on Graphs | ||

D4 – Route Inspection | February Mock Exam | |

CP7 – Methods in Differential Eqs | ||

CP8 – Modelling with Differential Eqs | ||

D5 – The travelling Salesman problem | ||

D6 – Linear Programming | ||

D7 – This simplex algorithm | ||

D8 - Critical Path Analysis | ||

Summer Term | Revision | |

Final A Level Exams | ||

Year 13 Further Maths - Core Pure

Year 13 Further Maths - Further MechanicsYear 13 Further Maths - Further Statistics Year 13 Further Maths - Decision Maths