Mathematics for the IB Diploma: Applications and interpretation SL

by Paul Fannon, Vesna Kadelburg, Ben Woolley, Stephen Ward

Overview

Developed in cooperation with the International Baccalaureate® Enable students to construct mathematical models by exploring challenging problems and the use of technology. - Engage and excite students with examples and photos of maths in the real world, plus inquisitive starter activities to encourage their problem-solving skills. - Build mathematical thinking with our 'Toolkit' and mathematical exploration chapter, along with our new toolkit feature of questions, investigations and activities. - Develop understanding with key concepts and applications integrated throughout, along with TOK links for every topic. - Prepare your students for assessment with worked examples, extended essay support and colour-coded questions to highlight the level of difficulty and the different types of questions. - Check understanding with review exercise midway and at the end of the textbook. Follows the new 2019 IB Guide for Mathematics: applications and interpretation Standard Level Available in the series Mathematics for the IB Diploma: Applications and interpretation SL Student Book ISBN: 9781510462380 Student Book Boost eBook ISBN: 9781398334359 Exam Practice Workbook SL: 9781398321892 Exam Practice Workbook SL Boost eBook: 9781398342323 Mathematics for the IB Diploma: Applications and interpretation HL Student Book ISBN: 9781510462373 Student Book Boost eBook ISBN: 9781398334366 Exam Practice Workbook HL: 9781398321885 Exam Practice Workbook HL Boost eBook: 9781398342354 SL & HL Boost Subscription: 9781398341272

Product Details

ISBN-13:	9781510462380
Publisher:	Hodder Education Group
Publication date:	12/03/2019
Pages:	520
Product dimensions:	7.64(w) x 10.39(h) x 1.02(d)
Age Range:	18 - 17 Years

About the Author

The authors are all University of Cambridge graduates and have a wide range of expertise in pure mathematics and in applications of mathematics, including economics, epidemiology, linguistics, philosophy and natural sciences. Between them they have considerable experience of teaching IB Diploma Mathematics at Standard and Higher Level, and two of them currently teach at the University of Cambridge.

Table of Contents

Introduction vi

The 'toolkit' and the mathematical exploration ix

Core SL content

Chapter 1 Core: Exponents and logarithms 2

1A Laws of exponents 4

1B Operations with numbers in the form a x 10k, where 1 <a≤10 and k is an integer 11

Logarithms 14

Chapter 2 Core: Sequences 22

2A Arithmetic sequences and series 24

2B Geometric sequences and series 33

2C Financial applications of geometric sequences and series 39

Chapter 3 Core: Functions 48

3A Concept of a function 50

3B Sketching graphs 61

Chapter 4 Core: Coordinate geometry 74

4A Equations of straight lines in two dimensions 76

4B Three-dimensional coordinate geometry 86

Chapter 5 Core: Geometry and trigonometry 92

5A Volumes and surface areas of three-dimensional solids 94

5B Rules of trigonometry 101

5C Applications of trigonometry 113

Chapter 6 Core: Statistics 130

6A Sampling 132

6B Summarizing data 139

6C Presenting data 150

6D Correlation and regression 159

Chapter 7 Core: Probability 178

7A Introduction to probability 180

7B Probability techniques 184

Chapter 8 Core: Probability distributions 200

8A Discrete random variables 202

8B Binomial distribution 207

8C The normal distribution 212

Chapter 9 Core: Differentiation 222

9A Limits and derivatives 224

9B Graphical interpretation of derivatives 230

9C Finding an expression for the derivative 240

9D Tangents and normals at a given point and their equations 245

Chapter 10 Core: Integration 256

10A Anti-differentiation 258

10B Definite integration and the area under a curve 262

Core SL content: Review Exercise 272

Additional Applications and interpretation SL content

Chapter 11 Applications and interpretation: Number and finance 278

11A Approximation 280

11B Further financial mathematics 287

Chapter 12 Applications and interpretation: Solving equations with technology 296

12A Systems of linear equations 298

12B Polynomial equations 301

Chapter 13 Applications and interpretation: Mathematical models 308

13A Linear models 310

13B Quadratic models 314

13C Exponential models 318

13D Direct and inverse variation and cubic models 323

13E Sinusoidal models 328

13F Modelling skills 332

Chapter 14 Applications and interpretation: Geometry 342

14A Arcs and sectors 344

14B Voronoi diagrams 349

Chapter 15 Applications and interpretation: Hypothesis testing 370

15A Chi-squared tests 372

15B t-tests 385

15C Spearman's rank correlation 391

Chapter 16 Applications and interpretation: Calculus 404

16A Maximum and minimum points 406

16B Optimization 409

16C Trapezoidal rule 412

Applications and interpretation SL: Practice Paper 1 420

Applications and interpretation SL: Practice Paper 2 424

Answers 427

Glossary 492

Index 494