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        A Level Mathematics

        HEAD OF DEPARTMENT: Mrs H Fraser BSc PGCE (East Anglia)
        Email: hfraser@

        Please find below a breakdown of the course. Further information can be found in the full specification, which is available on the Edexcel AS/A level Mathematics webpage. Assessment for each component is completed at the end of Rhetoric II. However, we will continue to assess pupils at AS level by entering them for the two public examinations in May/June 2018.

        PAPER 1 AND 2 – PURE MATHEMATICS

        Each paper is:

        · A 2 hour written examination

        · 33.33% of the qualification

        · 100 marks

        Assessment Overview:

        · Paper 1 and Paper 2 may contain questions on any topic from the Pure Mathematics content

        · Calculators can be used in the assessment.

         

        CONTENT OVERVIEW

        Topic 1 – Proof

        Topic 2 – Algebra and functions

        Topic 3 – Coordinate geometry in the (x, y) plane

        Topic 4 – Sequences and series

        Topic 5 – Trigonometry

        Topic 6 – Exponentials and logarithms

        Topic 7 – Differentiation

        Topic 8 – Integration

        Topic 9 – Numerical methods

        Topic 10 – Vectors

         

        ACROSS EACH OF THESE COMPONENTS,STUDENTS WILL BE ASSESSED ON THE FOLLOWING OVERARCHING THEMES:

        • OT1– Mathematical argument, language and proof
        • OT2– Mathematical problem solving
        • OT3– Mathematical modelling

         

        PAPER 3 – STATISTICS AND MECHANICS

        The paper is:

        • A 2 hour written examination
        • 33.33% of the qualification
        • 100 marks

        Assessment Overview:

        • Paper 3 will contain questions on topics from the Statictstics content in Section A and Mechanics content in Section B
        • Calculators can be used in the assessment

         

        COURSE CONTENT

        Section A: Statistics

        Topic 1 – Statistical sampling

        Topic 2 – Data presentation and interpretation

        Topic 3 – Probability

        Topic 4 – Statistical distributions

        Topic 5 – Statistical hypothesis testing

        Section B: Mechanics

        Topic 6 – Quantities and units in mechanics

        Topic 7 – Kinematics

        Topic 8 – Forces and Newton’s laws

        Topic 9 – Moments

         

        STATISTICS DATA SET

        Pearson has provided a large data set, which will support the assessment of Statistics in Paper 3: Statistics and Mechanics. Students are required to become familiar with the data set in advance of the final assessment.

        Assessments will be designed in such a way that questions assume knowledge and understanding of the data set. The expectation is that these questions should be likely to give a material advantage to students who have studied and are familiar with the data set.

         

        OBJECTIVES

        The aims and objectives of this qualification are to enable 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
        • Extend their range of mathematical skills and techniques
        • Understand coherence and progression in mathematics and how different areas of mathematics are connected
        • 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
        • Reason logically and recognise incorrect reasoning
        • Generalise mathematically
        • Construct mathematical proofs
        • Use their mathematical skills and techniques to solve challenging problems that require them to decide on the solution strategy
        • 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
        • Draw diagrams and sketch graphs to help explore mathematical situations and interpret solutions
        • Make deductions and inferences and draw conclusions by using mathematical reasoning
        • Interpret solutions and communicate their interpretation effectively in the context of the problem
        • Read and comprehend mathematical arguments, including justifications of methods and formulae, and communicate their understanding
        • Read and comprehend articles concerning applications of mathematics and communicate their understanding
        • Use technology such as calculators and computers effectively and recognise when their use may be inappropriate
        • Take increasing responsibility for their own learning and the evaluation of their own mathematical development.

         

        READING LIST

        There is no expectation that students purchase any of the below books; they are all stocked in the department. However, students may wish to use some of the texts to enhance and enrich their understanding.

        Rowland, M  (2011).  Bridging GCSE and A Level Maths Student Book.

        Attwood, G et al (2017).  Edexcel AS and A level Mathematics Pure Mathematics Year 1/AS Textbook.

        Attwood, G et al (2017).  Edexcel A level Mathematics Pure Mathematics Year 2 Textbook

        Attwood, G et al (2017).  Edexcel AS and A level Mathematics Statistics & Mechanics Year 1/AS Textbook.

        Attwood, G et al (2017).  Edexcel A level Mathematics Statistics & Mechanics Year 2 Textbook

        This selection has been made based on recommendations from many sources including the teaching staff in our own Mathematics Department and from a range of university reading lists.  Do not be intimidated by these books, remember that any reading you do on the subject will be useful.

         Courant, R. Robbins, H. and Stewart, S. (1996) What is mathematics?

        Devlin, K. (2004) The millennium problems: the seven greatest, unsolved mathematical problems of our time. Dunham, W. (1991) Journey through genius: the greatest theorems of mathematics.

        Du Sautoy, M. (2003) The music of the primes : why an unsolved problem in mathematics matters.

        Enzensberger, H. (2008) The number devil.

        Frankel, L. (1997) Numbers: the universal language .

        Gower, T. (2002) Mathematics: a very short introduction.

        Gray, J. (2000) The Hilbert challenge: a perspective on 20th century mathematics.

        Hodges, A. (1992) Alan Turing: the enigma

        Hoffman, P. (1999) The man who loved only numbers: the story of Paul Erdos and the search for mathematical truth.

        Korner, T. (1996) The pleasures of counting.

        McLeish, J. (1991) Story of numbers.

        Singh, S. (2001) The cracking code book: how to make it, break it, hack it, crack it

         

         

         

         

         

         

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