Oxford IB Course Preparation: Mathematics for IB Diploma Course Preparation

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Description

Contents

Reviews

Language

English

ISBN

9781382004916

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

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