# Oxford IB Diploma Programme: IB Course Preparation Mathematics

Directly linked to Oxford's bestselling DP Mathematics resources, this new Course Preparation resource thoroughly prepares students to meet the demands of IB Diploma Programme Mathematics. Ideal for students who have studied non-IB courses at pre-16 level, the text introduces learners to the IB approach, terminology and skills.

The focus of this book is to give students and teachers a solid introduction to the skills and approaches required for their DP Mathematics course. Following the IB DP curriculum and using a skills and concept-based approach this resource will mean that students can begin their DP course with a firm foundation of subject area content. An emphasis will be placed on getting students to make connections to their real world observations so that the learning authentic and applicable outside of the

classroom.

This book does not replace the course book content for DP but is in line with the latest DP syllabus updates including assessment details, subject terminology and syllabus content. Answers are available online.

- Contents
- Introduction
- 1 Number
- 1.1 Number systems
- 1.2 Sets
- 1.3 Approximations and rounding
- 1.4 Modulus (or absolute value)
- 1.5 Operations with numbers
- 1.6 Prime numbers
- 1.7 Greatest common factor and least common multiple
- 1.8 Fractions
- 1.9 Exponential expressions
- 1.10 Surds (radicals)
- 1.11 Standard form
- Chapter 1 test

- 2 Algebra
- 2.1 Manipulation of algebraic expressions
- 2.2 Calculating the numerical value by substitution
- 2.3 Addition and subtraction of algebraic fractions
- 2.4 Use of inequalities
- 2.5 Solutions to linear equations
- 2.6 Solutions to linear inequalities
- 2.7 Factorizing quadratics
- Higher Level
- 2.8 Solutions to quadratic equations and inequalities
- 2.9 Linear equations in two variables
- Chapter 2 test

- 3 Units and ratio
- 3.1 Système International
- 3.2 Units of area and volume
- 3.3 Ratio
- 3.4 Percentages
- 3.5 Direct proportion
- 3.6 Currency
- Chapter 3 test

- 4 Graphing functions
- 4.1 Mappings
- 4.2 Graphing linear functions using technology
- 4.3 Graphing quadratic functions using technology
- 4.4 Linear and quadratic models
- 4.5 Finding the equation for a linear model
- Chapter 4 test

- 5 Geometry
- 5.1 Points, lines, planes and angles DP ready Theory of
- 5.2 The triangle sum theorem
- 5.3 Properties of triangles and quadrilaterals
- 5.4 Compass directions and bearings
- 5.5 Geometric transformations
- Chapter 5 test

- 6 Right-angled triangles
- 6.1 Pythagoras’ theorem
- 6.2 Mid-point of a line segment and the distance between two points
- 6.3 Right-angle trigonometry
- 6.4 Problem solving with right-angled triangles
- Chapter 6 test

- 7 Volumes and areas of 2- and 3-dimensional shapes
- 7.1 Perimeter and area of plane fgures
- 7.2 The circle
- 7.3 Three-dimensional shapes
- Chapter 7 test

- 8 Statistics
- 8.1 Collection and representation of data
- 8.2 Simple statistics
- Chapter 8 test

- 9 Probability
- 9.1 Calculating probabilities of simple events
- 9.2 Sorting data
- 9.3 Tree diagrams
- Chapter 9 test

- 10 Speed, distance and time
- 10.1 Speed, distance and time
- 10.2 Rates of change
- Chapter 10 test