Curriculum Map A Level Maths Edexcel

Statement of intent Key Stage: 5 Subject: Maths Academic Year: 2019-20 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 A –Level Mathematics course at Canons is based on the builds on the skills, knowledge and understanding set out in the whole GCSE subject content for mathematics and the subject content for the Pearson Edexcel Level 3 Advanced Subsidiary and Advanced GCE Mathematics qualifications. Assessments will be designed to reward students for demonstrating the ability to provide responses that draw together different areas of their knowledge, skills and understanding from across the full course of study for the AS further mathematics qualification and also from across the AS Mathematics qualification. Problem solving, proof and mathematical modelling will be assessed in further mathematics in the context of the wider knowledge which students taking A level further mathematics will have studied.

Curriculum Overview Key Stage: 5 Subject: Maths Academic Year 2019-20 Unit content Autumn 1 Autumn 2 Spring 1 Spring1 Summer 1 Summer 2 Year 12 Paper 1: Core Pure Mathematics 1 Paper 2: Core Pure Mathematics 2   Unit 1 ALGEBRA AND FUNCTIONS Algebraic expressions – basic algebraic manipulation, indices and surds Quadratic functions – factorising, solving, graphs and the discriminants Equations – quadratic/linear simultaneous Inequalities – linear and quadratic (including graphical solutions) Graphs – cubic, quartic and reciprocal Unit 2 Coordinate geometry in the (x, y) plane Straight-line graphs, parallel/perpendicular, length and area problems Unit 3 Further algebra Algebraic division, factor theorem and proof The binomial expansion Unit 4 Trigonometry Trigonometric ratios and graphs Unit 5 Vectors 2D Definitions, magnitude/directio n, addition and scalar multiplication Unit 6 Differentiation Definition, differentiating polynomials, second derivatives Unit 7 Integration Definition as opposite of differentiation, indefinite integrals of xn Definite integrals and areas under curves Unit 8 Exponentials and logarithms: Exponential functions and natural logarithms Revision Topic Based Practice Papers Begin Y13 UNIT 1 Statistical Sampling Assessment Students will be tested on their ability to: AO1: Use and apply standard techniques. AO2: Reason, interpret and communicate mathematically AO3: Solve problems within mathematics and in other contexts Bridging Work Practice questions End of chapter assessment and feed forward Consolidation questions at the end of every lesson Mocks Paper 1 and 2 Topic

Curriculum Overview Key Stage: Subject: Academic Year 2019-20 Summer 2 Unit content Autumn 1 Autumn 2 Spring 1 Spring1 Summer 1 Summer 2 Year 13 Paper 3: Further Mathematics Paper 4: Further Mathematics UNIT 1 Statistical Sampling Introduction to sampling terminology; Advantages and disadvantages of sampling Understand and use sampling techniques; UNIT 2 Data representation and interpretation Calculation and interpretation of measures of location; Calculation and interpretation of measures of variation; Understand and use coding Interpret diagrams for single-variable data; Unit 3Probability: Mutually exclusive events; Independent events Unit 4 Statistical distributions: Use discrete distributions to model real-world situations; Identify the discrete uniform distribution; Calculate probabilities using the binomial distribution Unit 5 Statistical hypothesis testing Language of hypothesis testing; Significance levels Carry out hypothesis tests involving the binomial distribution UNIT 6 Quantities and units in mechanics Introduction to mathematical modelling and standard S.I. units of length, time and mass Definitions of force, velocity, speed, acceleration and weight and displacement; Vector and scalar quantities Unit 7 Kinematics 1 (constant acceleration) Graphical representation of velocity, acceleration and displacement Motion in a straight line under constant acceleration; suvat formulae for constant acceleration; Vertical motion under gravity Unit 8 Forces & Newton’s laws Newton’s first law, force diagrams, Newton’s second law, ‘F = ma’ Kinematics 2 (variable acceleration) Variable force; Calculus to determine rates of change for kinematics Use of integration for kinematics problems i.e. Revision Paper 1 Paper 2 Paper 3 Paper 4 Assessment AO1: Use and apply standard techniques. AO2: Reason, interpret and communicate mathematically AO3: Solve problems within mathematics and in other contexts Bridging Work Practice questions End of chapter assessment and feed forward Consolidation questions at the end of every lesson