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 Contents1. Algebra I - review2. Albebra II - techniques3. Algebra III - polynomials4. Algebra IV - applications5. Co-ordinate geometry I 6. Co-ordinate geometry II - applications7. Trigonometry I8. Trigonometry II - applications9. Calculus I - differentiation10. Calculus II - integration11. Calculus III - applications to kinematics.
This book is endorsed by OCR for use with Additional Maths (FSMQ) and covers the exact requirements of the specificationIt is perfect for Higher Tier students taking their GCSE early as they can gain a recognised qualification without having to embark on their AS modulesIt is also ideal for students who intend to follow AS/A level Further Maths by giving them a 'head start' on their courseIt gives students a 'taster' of AS/A level Maths and aids their choice of AS/A level modules
Table of Contents:
1 Algebra: reviewLinear expressionsSolving linear equationsChanging the subject of an equationQuadratic expressionsSolving a quadratic equation that factorisesCompleting the squareSimultaneous equations2 Algebra: techniquesLinear inequalitiesSolving quadratic inequalitiesManipulating algebraic fractionsSolving equations involving fractionsSimplifying expressions containing square roots3 Algebra: polynomialsOperations with polynomialsThe Factor TheoremThe Remainder Theorem4 Algebra: applicationsThe binomial expansionThe binomial distribution5 Co-ordinate geometry ICo-ordinatesThe gradient of a lineParallel and perpendicular linesThe distance between two pointsMidpoint of a line joining two pointsThe equation of a straight lineDrawing a line given its equationFinding the equation of a lineIntersection of two linesThe circle6 Co-ordinate geometry II, applicationsInequalitiesUsing inequalities for problem solving7 Trigonometry IUsing trigonometry in right angled trianglesTrigonometrical functions for angles of any sizeSolving trigonometrical equationsIdentities involving sinθ, cosθ, and tanθThe area of a triangleThe Sine and Cosine rules8 Trigonometry II – ApplicationsApplications of the Sine and Cosine rules in 2-DHeight and distance problems in 3-D3-D problems involving solids9 Calculus I - DifferentiationFinding the gradient of a curveDifferentiating by using standard resultsTangents and normalsStationary pointsCurve sketching10 Calculus II - IntegrationReversing differentiationUsing integration to find areas11 Calculus III - Applications to kinematicsVariable acceleration problemsThe formulae for constant acceleration
About the Author(s):
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.
...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.