Additional Mathematics for OCR

• 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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