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Mathematics · A Level · £4.99

A Level Pure Mathematics
Revision Guide

A Level Pure Maths Revision Guide — Every DfE Statement

The whole of A level pure mathematics in twenty-nine pages: how the course is assessed and the three overarching themes, all 61 statements of the DfE’s sections A to J from proof to vectors, a page on problem solving and modelling, a page on the notation, and a page of the formulae students must know without being given them. Every page marks what is AS and what is A level only, and every must-know formula. Each page has three ideas, a worked example in three steps with its own diagram, three misconceptions and eight cover-and-test questions.

£4.99The A Level Pure Mathematics revision guide, 29 pages

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Pure mathematics in the order the Department for Education sets it out, but with each section given the room it needs. Algebra and functions, which the DfE sets as eleven statements, takes four pages. Trigonometry takes four, differentiation three and integration two, with a page of differential equations after them, and the other sections one or two each. Every one of the DfE’s 61 numbered statements in sections A to J has a page, and the AS content is read off the DfE’s own square brackets, so it is clear what a student sitting AS needs and what is A level only.

Four pages are not sections of the content, and the DfE’s own text asks for them. The first sets out how the course is assessed: Ofqual’s three assessment objectives with their weightings, and the three overarching themes of argument and proof, problem solving and modelling, which the DfE says apply across the whole of the content. The second works through problem solving and modelling. The third is the notation, Appendix A, which students must understand without explanation. The fourth is the formulae of Appendix B, the ones a student must be able to use without being given them. A result on that list is marked recall wherever it appears, so it is clear what has to be learned by heart and what is provided.

Each page opens with a large drawing of the idea, beside the key results. Below come three ideas, each with a figure or a line of typeset working, then a worked example in three steps with its own graph, the three misconceptions that most often cost marks, and eight questions to cover and test. Every number in a worked example, and every value printed on a drawing, is recomputed when the guide is built. Nothing is taken from a board’s specification, so the guide holds whichever board a student is sitting.

Written to
The DfE’s AS and A level subject content for mathematics (DFE-00706-2014), sections A to J, the overarching themes and Appendices A and B, with the AS content read off its square brackets, and Ofqual’s GCE subject level conditions and requirements for mathematics (Ofqual/16/5920), quoted word for word; no board’s specification
Intended for
A level students revising the whole of pure mathematics, and for teachers setting structured revision
Extent
29 pages · 29 sections

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Contents

All 29 sections

Taken from the book’s own contents page, so the page numbers are the real ones.

01 How A Level Mathematics Is Assessed p1
02 Proof p2
03 Indices, Surds and Quadratics p3
04 Equations, Inequalities and Polynomials p4
05 Graphs and Transformations p5
06 Functions: Composite, Inverse and Partial Fractions p6
07 Straight Lines and Circles p7
08 Parametric Equations p8
09 The Binomial Expansion p9
10 Sequences and Series p10
11 Radians, Triangles and Exact Values p11
12 Reciprocal and Inverse Trigonometric Functions p12
13 Compound Angles, Double Angles and R-forms p13
14 Trigonometric Equations, Proof and Problems p14
15 Exponentials and Logarithms p15
16 Log Graphs and Growth Models p16
17 The Derivative p17
18 Standard Derivatives, Tangents and Stationary Points p18
19 Product, Quotient and Chain Rules p19
20 Integration: Reversing, Area and the Limit of a Sum p20
21 Substitution, Parts and Partial Fractions p21
22 Differential Equations p22
23 Roots and Iteration p23
24 Numerical Integration and Problems in Context p24
25 Vectors in Two Dimensions p25
26 Vectors in Three Dimensions, Motion and Forces p26
27 Problem Solving and Modelling p27
28 Notation and Language p28
29 The Formulae to Know p29
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