Edexcel International GCSE 9 1 Further Pure Mathematics Student Book 1st edition by Ali Datoo ISBN 0435188542 978-0435188542
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Product details:
ISBN 10: 0435188542
ISBN 13: 978-0435188542
Author: Ali Datoo
Edexcel International GCSE (9–1) Further Pure Mathematics Student Book provides comprehensive coverage of the new specification and is designed to supply students with the best preparation possible for the examination. These new resource also have progression, international relevance and support at their core. Integrated exam practice throughout, with differentiated revision exercises, exam practice and learning summary sections. Provides free access to an ActiveBook, a digital version of the Student Book, which can be accessed online, anytime, anywhere supporting learning beyond the classroom. Transferable skills, needed for progression into higher education and employment, are signposted allowing students to understand, and engage with, the skills they’re gaining. A fully integrated Progression Map tool allows quick and easy formative assessment of student progress, linked to guidance on how to personalise learning solutions. Reviewed by a language specialist to ensure the book is written in a clear and accessible style for students whose first language may not be English. Glossary of key terminology. Online teacher support materials. August-September 2017
Edexcel International GCSE (9 1) Further Pure Mathematics Student Book 1st Table of contents:
Chapter 1: Surds and Logarithmic Functions
Write a Number Exactly Using a Surd
Rationalise the Denominator of a Surd
Be Familiar with the Functions αx and logαx and Recognise the Shapes of their Graphs
Be Familiar with Expressions of the Type ex and Use them in Graphs
Be Able to Use Graphs of Functions to Solve Equations
Writing an Expression as a Logarithm
Understand and Use the Laws of Logarithms
Change the Base of a Logarithm
Solve Equations of the Form αx=b
Exam Practice Questions
Chapter Summary
Chapter 2: The Quadratic Function
Factorise Quadratic Expressions where the Coefficient of x2 is Greater than 1
Complete the Square and Use this to Solve Quadratic Equations
Solve Quadratic Equations Using the Quadratic Formula
Understand and Use the Discriminant to Identify whether the Roots are (i) Equal and Real, (ii) Unequ
Understand the Roots α and β and How to Use them
Exam Practice Questions
Chapter Summary
Chapter 3: Inequalities and Identities
Solve Simultaneous Equations, One Linear and One Quadratic
Solve Linear Inequalities
Solve Quadratic Inequalities
Graph Linear Inequalities in Two Variables
Divide a Polynomial BY (x±p)
Factorise a Polynomial by Using the Factor Theorem
Using the Remainder Theorem, Find the Remainder when a Polynomial is Divided by αx-b
Exam Practice Questions
Chapter Summary
Chapter 4: Sketching Polynomials
Sketch Cubic Curves of the Form y=αx3+bx2+cx+d or y=(x+α)(x+b)(x+c)
Sketch and Interpret Graphs of Cubic Functions of the Form y = x3
Sketch the Reciprocal Function y=k/x Where k is a Constant
Sketch Curves of Different Functions to Show Points of intersection and Solutions to Equations
Apply Transformations to Curves
Exam Practice Questions
Chapter Summary
Chapter 5: Sequences and Series
Identify an Arithmetic Sequence
Find the Common Difference, First Term and nth Term of an Arithmetic Series
Find the Sum of an Arithmetic Series and be able to Use Σ Notation
Identify a Geometric Sequence
Find the Common Ratio, First Term and nth Term of a Geometric Sequence
Find the Sum of a Geometric Series
Find the Sum to Infinity of a Convergent Geometric Series
Exam Practice Questions
Chapter Summary
Chapter 6: The Binomial Series
Use (n/r) to Work Out the Coefficients in the Binomial Expansion
Use the Binomial Expansion to Expand (1+x)n
Determine the Range of Values for which x is True and Valid for an Expansion
Exam Practice Questions
Chapter Summary
Chapter 7: Scalar and Vector Quantities
Vector Notation and How to Draw Vector Diagrams
Perform Simple Vector Arithmetic and Understand the Definition of a Unit Vector
Use Vectors to Describe the Position of a Point in Two Dimensions
Use Vectors to Demonstrate Simple Properties of Geometrical Figures
Write Down and Use Cartesian Components of a Vector in Two Dimensions
Exam Practice Questions
Chapter Summary
Chapter 8: Rectangular Cartesian Coordinates
Work Out the Gradient of a Straight Line
Find the Equation of a Straight Line
Understand the Relationship Between Perpendicular Lines
Find the Distance Between Two Points on a Line
Find the Coordinates of a Point that Divides a Line in a Given Ratio
Exam Practice Questions
Chapter Summary
Chapter 9: Differentiation
Find the Gradient Function of a Curve and Differentiate a Function that has Multiple Powers of x
Use the Chain Rule to Differentiate More Complicated Functions
Differentiate eαx, sin αx and cos αx
Use the Product Rule to Differentiate More Complicated Functions
Use the Quotient Rule to Differentiate More Complicated Functions
Find the Equation of the Tangent and Normal to the Curve y=f(x)
Find the Stationary Points of a Curve and Calculate Whether they are Minimum or Maximum Stationary P
Apply what you have Learnt about Turning Points to Solve Problems
Exam Practice Questions
Chapter Summary
Chapter 10: Integration
Integration as the Reverse of Differentiation
Understand How Calculus is Related to Problems Involving Kinematics
Use Integration to Find Areas
Use Integration to Find a Volume of Revolution
Relate Rates of Change to Each Other
Exam Practice Questions
Chapter Summary
Chapter 11: Trigonometry
Measure Angles in Radians
Calculate Arc Length and the Area of a Circle Using Radians
Understand the Basic Trigonometrical Ratios and Sine, Cosine and Tangent Graphs
Use Sine and Cosine Rules
Use Sine and Cosine Rules to Solve Problems in 3d
Use Trigonometry Identities to Solve Problems
Solve Trigonometric Equations
Use Trigonometric Formulae to Solve Equations
Exam Practice Questions
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