Autorentext

Jane Forrest, Paula Waldman, Jennifer Chang Wathall, Suzanne Doering, David Harris, Nadia Stoyanova Kennedy

Klappentext

Featuring a wealth of digital content, this concept-based Print and Enhanced Online Course Book Pack has been developed in cooperation with the IB to provide the most comprehensive support for the new DP Mathematics: applications and interpretation SL syllabus, for first teaching in September 2019.

Inhalt

• Measuring space: accuracy and 2D geometry

• 1.1: Measurements and estimates

• 1.2: Recording measurements, significant digits and rounding

• 1.3: Measurements: exact or approximate?

• 1.4: Speaking scientifically

• 1.5: Trigonometry of right-angled triangles and indirect measurements

• 1.6: Angles of elevation and depression

• Representing space: non-right angled trigonometry and volumes

• 2.1: Trigonometry of non-right triangles

• 2.2: Area of triangle formula. Applications of right and non-right angled trigonometry

• 2.3: Geometry: solids, surface area and volume

• Representing and describing data: descriptive statistics

• 3.1: Collecting and organising univariate data

• 3.2: Sampling techniques

• 3.3: Presentation of data

• 3.4: Bivariate data

• Dividing up space: coordinate geometry, lines, Voronoi diagrams

• 4.1: Coordinates, distance and midpoint formula in 2D and 3D

• 4.2: Gradient of lines and its applications

• 4.3: Equations of straight lines; different forms of equations

• 4.4: Parallel and perpendicular lines

• 4.5: Voronoi diagrams and toxic waste problem

• Modelling constant rates of change: linear functions

• 5.1: Functions

• 5.2: Linear Models

• 5.3: Arithmetic Sequences

• 5.4: Modelling

• Modelling relationships: linear correlation of bivariate data

• 6.1: Measuring correlation

• 6.2: The line of best fit

• 6.3: Interpreting the regression line

• Quantifying uncertainty: probability, binomial and normal distributions

• 7.1: Theoretical and experimental probability

• 7.2: Representing combined probabilities with diagrams

• 7.3: Representing combined probabilities with diagrams and formulae

• 7.4: Complete, concise and consistent representations

• 7.5: Modelling random behaviour: random variables and probability distributions

• 7.6: Modelling the number of successes in a fixed number of trials

• 7.7: Modelling measurements that are distributed randomly

• Testing for validity: Spearman's, hypothesis testing and x^2 test for independence

• 8.1: Spearman's rank correlation coefficient

• 8.2: chi^2 test for independence

• 8.3: chi^2 goodness of fit test

• 8.4: The t-test

• Modelling relationships with functions: power functions

• 9.1: Quadratic models

• 9.2: Problems involving quadratics

• 9.3: Cubic models, power functions and direct and inverse variation

• 9.4: Optimisation

• Modelling rates of change: exponential and logarithmic functions

• 10.1: Geometric sequences and series

• 10.2: Compound interest, annuities, amortization

• 10.3: Exponential models

• 10.4: Exponential equations and logarithms

• Modelling periodic phenomena: trigonometric functions

• 11.1: An introduction to periodic functions

• 11.2: An infinity of sinusoidal functions

• 11.3: A world of sinusoidal models

• Analyzing rates of change: differential calculus

• 12.1: Limits and derivatives

• 12.2: Equation of tangent and normal and increasing and decreasing functions

• 12.3: Maximum and minimum points and optimisation

• Approximating irregular spaces: integration

• 13.1: Finding areas

• 13.2: Integration: the reverse processes of differentiation

• Exploration