Motivates and challenges more able students by providing more complex introductions, worked examples and exercises for all topics.
This specification is ideal for students to prepare for A level mathematics. A range of algebraic and geometric topics are covered and it provides an introduction to Matrices and Calculus.
Written by experienced teachers, this book:
- Offers complete support for students throughout the course as it is an exact match to this new specification
- Includes an introduction to each topic followed by worked examples with commentaries
- Provides plenty of practice with hundreds of questions
David Pritchard has spent nearly 30 years teaching mathematics in secondary schools in Liverpool. Val Hanrahan teaches all levels of mathematics and has been Head of Maths at an Independent school. She has also written several Pure Maths A/AS texts. Roger Porkess is an experienced author and editor of books for GCSE, A/AS level and Key Stage 3.
SECTION 1 ALGEBRA 1 Number and Algebra I Basic number Basic algebra Expanding brackets Surds 2 Algebra II Factorising Rearranging formulae Algebraic fractions Completing the square 3 Algebra III Function notation Domain and range of a function Graphs of functions 4 Algebra IV Quadratic eqautions Simultaneous equations Factor theorem Inequalities Index laws Algebraic proof Sequences SECTION 2 GEOMETRY 5 Coordinate Geometry Straight lines Division in a ratio Equation of a circle 6 Geometry I Pythagoras' theorem and circle theorems Geometrical proof Trigonometry in 2-dimensions Problems in 3-dimensions 7 Geometry II Trigonometrical functions for angles of any size Area of triangle, sine rule and cosine rule Trigonometrical identities Solutions of trigonometrical equations SECTION 3 CALCULUS 8 Calculus Differentiation Tangents and normals Stationary points SECTION 4 MATRICES 9 Matrices Multiplication, identity, transformations Key words Exam style paper 1 Exam style paper 2 Answers