1 Algebra: review Linear expressions Solving linear equations Changing the subject of an equation Quadratic expressions Solving a quadratic equation that factorises Completing the square Simultaneous equations 2 Algebra: techniques Linear inequalities Solving quadratic inequalities Manipulating algebraic fractions Solving equations involving fractions Simplifying expressions containing square roots 3 Algebra: polynomials Operations with polynomials The Factor Theorem The Remainder Theorem 4 Algebra: applications The binomial expansion The binomial distribution 5 Co-ordinate geometry I Co-ordinates The gradient of a line Parallel and perpendicular lines The distance between two points Midpoint of a line joining two points The equation of a straight line Drawing a line given its equation Finding the equation of a line Intersection of two lines The circle 6 Co-ordinate geometry II, applications Inequalities Using inequalities for problem solving 7 Trigonometry I Using trigonometry in right angled triangles Trigonometrical functions for angles of any size Solving trigonometrical equations Identities involving sintheta, costheta, and tantheta The area of a triangle The Sine and Cosine rules 8 Trigonometry II - Applications Applications of the Sine and Cosine rules in 2-D Height and distance problems in 3-D 3-D problems involving solids 9 Calculus I - Differentiation Finding the gradient of a curve Differentiating by using standard results Tangents and normals Stationary points Curve sketching 10 Calculus II - Integration Reversing differentiation Using integration to find areas 11 Calculus III - Applications to kinematics Variable acceleration problems The formulae for constant acceleration
Teach with confidence, knowing your students will be fully prepared for their exams, with this detailed textbook, endorsed by OCR.
Val Hanrahan has been Head of Maths at an Independent school. She has also written several Pure Maths A/AS texts. Roger Porkess has written and edited books for GCSE, A/AS level and Key Stage 3.
This is the officially endorsed course text and as such represents the best text book offering for the Additional Maths OCR qualification. It covers all of the topics in a clear fashion and is well presented. However, I would say that it needs more questions for practice and it lacks some of the more challenging, quirky-style of problem which candidates will meet on the examination. Overall it is a good text book but will need to be supplemented with other material (such as the practice book!). -- Mr Stephen Black * Abigail Lambert * ...it contains all the information you'll need for the course as well as a HUGE number of questions for practice and makes it all very interesting. * Amazon reviewer *