Mathematics: Analysis and Approaches SL

Cover image of Mathematics Analysis and Approaches Standard Level

Mathematics: Analysis and Approaches SL

£21.00

Ian Lucas

Fully updated for the new IBDP Mathematics syllabus, this Guide covers Analysis and Approaches at Standard Level. It will reinforce your understanding of the topics, provides worked examples and practice questions for self-testing, and will help you to prepare for exams.

ISBN: 9781913433024

114 pages

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About the author
Ian Lucas

Ian Lucas has taught IB Mathematics since 1981, both as a classroom teacher (the majority of his time spent at Sevenoaks School in the UK) and on intensive exam revision courses around the world.

Ian’s books distil his experience gained in the classroom helping students to prepare for their IB exams through clear explanation of content and methods, alongside a wide range of exam-style questions for practice.

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Coverage includes

  • Review of all key SL topics for IB Mathematics Analysis and Approaches SL

  • Advice on how to apply your learning in an exam context

  • Guidance on calculator use and non-calculator techniques

Key features of the Mathematics: Analysis and Approaches SL study guide:

  • Topic-based practice questions to reinforce essential skills needed for success in IB Mathematics Analysis and Approaches SL

  • Exam-style practice questions for both papers 1 and 2 throughout

  • Worked answers for all question types to check progress

  • Suggestions to help you maximise your marks

  • Useful hints, tips, and how to avoid common errors

  • Supplementary online content

Contents of the Mathematics: Analysis and Approaches SL study guide:

The Non-Calculator Paper

Chapter 1: NUMBER AND ALGEBRA

  • Number Systems

  • Accuracy and Standard Form

  • Sequences and Series

  • Sequences and Series: Applications

  • Exponents

  • Logarithms

  • The Binomial Expansion

  • Deductive proof

  • Number and Algebra: Long Answer Questions

Chapter 2: FUNCTIONS

  • Basics of Functions

  • Graphs of Functions

  • Linear Functions

  • Reciprocal Functions

  • Quadratic Functions

  • Solving Quadratic Equations

  • Exponential and Logarithmic Functions

  • Functions: Long Answer Questions

Chapter 3: GEOMETRY AND TRIGONOMETRY

  • Solution of Triangles

  • 3-D Geometry

  • Cylinder, Sphere and Cone

  • Circular Functions

  • Trigonometric equations

  • Transformations of Trigonometric Functions

  • Geometry and Trigonometry: Long Answer Questions

Chapter 4: STATISTICS AND PROBABILITY

  • Definitions

  • Averages

  • Measures of spread

  • Correlation

  • Sampling Methods

  • Probability Notation and Formulae

  • Lists and Tables of Outcomes

  • Venn Diagrams

  • Tree Diagrams

  • Discrete Probability Distributions

  • The Binomial Distribution

  • The Normal Distribution

  • Statistics and Probability: Long Answer Questions

Chapter 5: CALCULUS

  • Differentiation – The Basics

  • The Chain Rule

  • Product and Quotient Rules

  • Second Derivative

  • Graphical Behaviour of Functions

  • Applications of Differentiation

  • Indefinite Integrals

  • Definite Integrals

  • Calculus: Long Answer Questions

Chapter 6: MAXIMISING YOUR MARKS

Chapter 7: PRACTICE QUESTIONS

  • Answers to Practice Questions

 

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