Additional Mathematics for OCR

Summary:
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

• This book is endorsed by OCR for use with Additional Maths (FSMQ) and covers the exact requirements of the specification
• It is perfect for Higher Tier students taking their GCSE early as they can gain a recognised qualification without having to embark on their AS modules
• It is also ideal for students who intend to follow AS/A level Further Maths by giving them a 'head start' on their course
• It gives students a 'taster' of AS/A level Maths and aids their choice of AS/A level modules

Table of Contents:
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 sinθ, cosθ, and tanθ
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

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.

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