Teach with confidence, knowing your students will be fully prepared for their exams, with this detailed textbook that is closely tailored to the specification and has been endorsed by OCR.
Endorsed by OCR for use with the OCR Additional Mathematics specification. This level 3 qualification in Key Stage 4 enables students to study higher level mathematics without having to embark on their AS modules.
- Accessible and concise, written by experienced authors to guide and encourage your higher level students towards success
- Includes an introduction to each topic followed by worked examples with commentaries
- Provides plenty of practice with hundreds of questions
- Ideal for students considering maths at AS/A level, accelerating their progress and aiding their future choices
Table of Contents
1. Algebra I - review
2. Albebra II - techniques
3. Algebra III - polynomials
4. Algebra IV - applications
5. Co-ordinate geometry I
6. Co-ordinate geometry II - applications7. Trigonometry I
8. Trigonometry II - applications
9. Calculus I - differentiation
10. Calculus II - integration
11. Calculus III - applications to kinematics
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.
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