Mathematics for the IB Diploma: Applications and interpretation SL

Description

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 Cover Book title Copyright Contents Introduction The ‘toolkit’ and the mathematical exploration Core SL content Chapter 1 Core: Exponents and logarithms 1A Laws of exponents 1B Operations with numbers in the form a × 10k, where 1 ≦a < 10 and k is an integer 1C Logarithms Chapter 2 Core: Sequences 2A Arithmetic sequences and series 2B Geometric sequences and series 2C Financial applications of geometric sequences and series Chapter 3 Core: Functions 3A Concept of a function 3B Sketching graphs Chapter 4 Core: Coordinate geometry 4A Equations of straight lines in two dimensions 4B Three-dimensional coordinate geometry Chapter 5 Core: Geometry and trigonometry 5A Volumes and surface areas of three-dimensional solids 5B Rules of trigonometry 5C Applications of trigonometry Chapter 6 Core: Statistics 6A Sampling 6B Summarizing data 6C Presenting data 6D Correlation and regression Chapter 7 Core: Probability 7A Introduction to probability 7B Probability techniques Chapter 8 Core: Probability distributions 8A Discrete random variables 8B Binomial distribution 8C The normal distribution Chapter 9 Core: Differentiation 9A Limits and derivatives 9B Graphical interpretation of derivatives 9C Finding an expression for the derivative 9D Tangents and normals at a given point and their equations Chapter 10 Core: Integration 10A Anti-differentiation 10B Definite integration and the area under a curve Core SL content: Review Exercise Additional Applications and interpretation SL content Chapter 11 Applications and interpretation: Number and finance 11A Approximation 11B Further financial mathematics Chapter 12 Applications and interpretation: Solving equations with technology 12A Systems of linear equations 12B Polynomial equations Chapter 13 Applications and interpretation: Mathematical models 13A Linear models 13B Quadratic models 13C Exponential models 13D Direct and inverse variation and cubic models 13E Sinusoidal models 13F Modelling skills Chapter 14 Applications and interpretation: Geometry 14A Arcs and sectors 14B Voronoi diagrams Chapter 15 Applications and interpretation: Hypothesis testing 15A Chi-squared tests 15B t-tests 15C Spearman's rank correlation Chapter 16 Applications and interpretation: Calculus 16A Maximum and minimum points 16B Optimization 16C Trapezoidal rule Applications and interpretation SL: Practice Paper 1 Applications and interpretation SL: Practice Paper 2 Answers Glossary A B C D E G H I L N O P Q R S T U V Z Index A B C D E F G H I L M N O P Q R S T U V W X Y Z