Mathematical Studies Standard Level for the IB Diploma Coursebook
Overview
The significance of mathematics for modelling and practical applications is a prominent theme throughout this coursebook, supported with Theory of Knowledge, internationalism and application links to encourage an appreciation of broader contexts of mathematics. Mathematical modelling is also a key feature.GDC tips are integrated throughout, with dedicated gdc chapter for those needing more support. Exam hints and IB exam-style questions are provided within each chapter; sample exam papers (online) can be tackled in exam-style conditions for further exam preparation. Guidance and support for the internal assessment is also available, providing advice on good practice when writing the project.
Features
- A GDC-dedicated chapter covers the step-by-step processes for using the Texas and Casio calculators in the place of traditional mathematical methods.
- Chapter openers explain why the topic matters in the real world.
- The narrative is broken up into short, manageable-sized chunks and is written in plain English, making the key concepts clear and easy to understand.
- Progressive and repetitive exercises use a combination of routine ‘drill’ questions and application-related questions; they are written in the style of the IB’s short-answer and longer-answer questions.
- There are numerous worked examples that include methods using GDC.
- There are feature boxes for the following aspects of the syllabus: Theory of Knowledge, Internationalism, and Applications, as well as general hints with a special note when the hint is exam-specific.
- Key point panels highlight key things or formulas to remember.
- Exam and Exam-style questions provide lots of exam practice.
Contents
- Topic 1 Number and algebra
- Chapter 1 Number
- Chapter 2 Solving equations
- Chapter 3 Arithmetic and geometric sequences and series
- Chapter 4 Financial mathematics
- Topic 2 Descriptive statistics
- Chapter 5 Classification and display of data
- Chapter 6 Measures of central tendency
- Chapter 7 Measures of dispersion
- Topic 3 Logic, sets and probability
- Chapter 8 Set theory and Venn diagrams
- Chapter 9 Logic
- Chapter 10 Probability
- Topic 4 Statistical applications
- Chapter 11 Normal distribution
- Chapter 12 Correlation
- Chapter 13 Chi-squared
- Topic 5 Geometry and trigonometry
- Chapter 14 Equation of a line in two dimensions
- Chapter 15 Trigonometry
- Chapter 16 Geometry of three dimensional solids
- Topic 6 Mathematical models
- Chapter 17 Functions and graphs
- Chapter 18 Linear and quadratic models
- Chapter 19 Exponential and polynomial functions
- Topic 7 Introduction to differential calculus
- Chapter 20 Introducing differential calculus
- Chapter 21 Stationary points and optimisation
- Chapter 22 Internal assessment
- Chapter 23 Sample papers
- Chapter 24 How to use your graphical calculator
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