# Year 12 & 13 Mathematics

Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history's most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. A high-quality mathematics education therefore provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject.

**The Team:**

Mr J Carter (Subject Lead)

Mr A Farmer (AAP)

Mrs M Lane (AAP, Lead Practitioner of Maths)

Ms J Lynam (Leader of Year 7&8 Maths)

Mrs C Carter

Mr R Dawson

Miss A Foster

Mr T Landragin

Mr S Seenu

Mrs K Smith

Mr M Stacey

Mr D Sathiamoorthy

**KS5 Courses are:**

Maths is studied at post 16 at A Level, which consist of AS and A2 and follows the Edexcel specification

**Aims**

A level mathematics encourage students to:

• develop their understanding of mathematics and mathematical processes in a way that promotes confidence and fosters enjoyment,

• develop abilities to reason logically and recognise incorrect reasoning, to generalise and to construct mathematical proofs,

• extend their range of mathematical skills and techniques and use them in more difficult, unstructured problems,

• develop an understanding of coherence and progression in mathematics and of how different areas of mathematics can be connected,

• recognise how a situation may be represented mathematically and understand the relationship between 'real-world' problems and standard and other mathematical models and how these can be refined and improved,

• use mathematics as an effective means of communication,

• read and comprehend mathematical arguments and articles concerning applications of mathematics,

• acquire the skills needed to use technology such as calculators and computers effectively, recognise when such use may be inappropriate and be aware of limitations,

• develop an awareness of the relevance of mathematics to other fields of study, to the world of work and to society in general,

• take increasing responsibility for their own learning and the evaluation of their own mathematical development.

Areas covered at AS level:

· Core 1

Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; differentiation; integration.

· Core 2

Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; trigonometry; exponentials and logarithms; differentiation; integration.

· Statistics 1

Mathematical models in probability and statistics; representation and summary of data; probability; correlation and regression; discrete random variables; discrete distributions; the Normal distribution.

Each unit contributes to 33.3% of the AS level

Areas covered at A2:

· Core 3

Algebra and functions; trigonometry; exponentials and logarithms; differentiation; numerical methods.

· Core 4

Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; differentiation; integration; vectors.

· Mechanics 1

Mathematical models in mechanics; vectors in mechanics; kinematics of a particle moving in a straight line; dynamics of a particle moving in a straight line or plane; statics of a particle; moments.

Each unit contributes to 33.3% of the A2 level

Assessment Overview:

Exams take place at the end of year 12 and the end of year 13 each of the areas covered will have an exam with the assessment objectives and weightings as follows.

AO1 - recall, select and use their knowledge of mathematical facts, concepts and techniques in a variety of contexts (30%)

AO2- construct rigorous mathematical arguments and proofs through use of precise statements, logical deduction and inference and by the manipulation of mathematical expressions, including the construction of extended arguments for handling substantial problems presented in unstructured form (30%)

AO3 - recall, select and use their knowledge of standard mathematical models to represent situations in the real world; recognise and understand given representations involving standard models; present and interpret results from such models in terms of the original situation, including discussion of the assumptions made and refinement of such models (10%)

AO4 - comprehend translations of common realistic contexts into mathematics; use the results of calculations to make predictions, or comment on the context; and, where appropriate, read critically and comprehend longer mathematical arguments or examples of applications (5%)

AO5 - use contemporary calculator technology and other permitted resources (such as formulae booklets or statistical tables) accurately and efficiently; understand when not to use such technology, and its limitations. Give answers to appropriate accuracy.(5%)