Oxford IB Diploma Programme: IB Mathematics: applications and interpretation

Higher Level, Print and Enhanced Online Course Book Pack

Panayiotis Economopoulos, Tony Halsey, Suzanne Doering, Michael Ortman, Nuriye Sirinoglu Singh, Peter Gray, David Harris, Jennifer Chang Wathall

Oxford IB Diploma Programme: IB Mathematics: applications and interpretation

Higher Level, Print and Enhanced Online Course Book Pack

Panayiotis Economopoulos, Tony Halsey, Suzanne Doering, Michael Ortman, Nuriye Sirinoglu Singh, Peter Gray, David Harris, Jennifer Chang Wathall

ISBN:

9780198427049

Binding:

Pack

Published:

1 Mar 2019

Availability:

0

Series:

$121.95 AUD

$142.99 NZD

Add To Cart

Description

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 Diploma Programme Mathematics: applications and interpretation Higher Level syllabus, for first teaching in September 2019.

Features:

  • Address all aspects of the new DP Mathematics: applications and interpretation HL syllabus via an Enhanced Online Course Book Pack - made up of one full-colour, print textbook and one online textbook, including extensive teacher notes
  • Ensure learners are ready to tackle each topic with targeted 'Prior Knowledge' worksheets, linked to 'Before You Start' summaries and exercises at the start of every chapter
  • Deliver in-depth coverage of all topics through clear explanations and worked solutions, animated worked examples, differentiated exercises and worksheets, with answers provided
  • Adopt a concept-based approach with conceptual lenses and microconcepts woven into every chapter, plus rich investigations that integrate factual and conceptual questions - leading to meaningful, content-specific conceptual understanding
  • Deepen mathematical understanding via inquiry-based tasks that relate to the content of each chapter, 'international mindedness' features, regular links to Theory of Knowledge, and activities that target ATL skills
  • Support students' development of a mathematical toolkit, as required by the new syllabus, with modelling and investigation activities presented in each chapter, including prompts for reflection, and suggestions for further study
  • Thoroughly prepare students for IB assessment via in-depth coverage of course content, overviews of all requirements, exam-style practice questions and papers, and a full chapter supporting the new mathematical exploration (IA)
  • Includes support for the most popular Graphic Display Calculator models.

Contents

Measuring space: accuracy and geometry

1.1: Representing numbers exactly and approximately
1.2: Angles and triangles
1.3: three-dimensional geometry

Representing and describing data: descriptive statistics

2.1: Collecting and organizing data
2.2: Statistical measures
2.3:  Ways in which we can present data
2.4: Bivariate data

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

3.1: Coordinate geometry in 2 and 3 dimensions
3.2: The equation of a straight line in 2 dimensions
3.3: Voronoi diagrams
3.4: Displacement vectors
3.5: The scalar and vector product
3.6: Vector equations of lines

Modelling constant rates of change: linear functions and regressions

4.1: Functions
4.2: Linear models
4.3: Inverse functions
4.4: Arithmetic sequences and series
4.5: Linear regression

Quantifying uncertainty: probability

5.1: Theoretical and experimental probability
5.2: Representing combined probabilities with diagrams
5.3: Representing combined probabilities with diagrams and formulae
5.4: Complete, concise and consistent representations

Modelling relationships with functions: power and polynomial functions

6.1: Quadratic models
6.2: Quadratic modelling
6.3: Cubic functions and models
6.4: Power functions, inverse variation and models

Modelling rates of change: exponential and logarithmic functions

7.1: Geometric sequences and series
7.2: Financial applications of geometric sequences and series
7.3: Exponential functions and models
7.4: Laws of exponents - laws of logarithms
7.5: Logistic models

Modelling periodic phenomena: trigonometric functions and complex numbers

8.1: Measuring angles
8.2: Sinusoidal models: f(x) = asin(b(x-c))+d
8.3: Completing our number system
8.4: A geometrical interpretation of complex numbers
8.5: Using complex numbers to understand periodic models

Modelling with matrices: storing and analyzing data

9.1: Introduction to matrices and matrix operations
9.2: Matrix multiplication and properties
9.3: Solving systems of equations using matrices
9.4: Transformations of the plane
9.5: Representing systems
9.6: Representing steady state systems
9.7: Eigenvalues and eigenvectors

Analyzing rates of change: differential calculus

10.1: Limits and derivatives
10.2: Differentiation: further rules and techniques
10.3: Applications and higher derivatives

Approximating irregular spaces: integration and differential equations

11.1: Finding approximate areas for irregular regions
11.2: Indefinite integrals and techniques of integration
11.3: Applications of integration
11.4: Differential equations
11.5: Slope fields and differential equations

Modelling motion and change in 2D and 3D: vectors and differential equations

12.1: Vector quantities
12.2: Motion with variable velocity
12.3: Exact solutions of coupled differential equations
12.4: Approximate solutions to coupled linear equations

Representing multiple outcomes: random variables and probability distributions

13.1: Modelling random behaviour
13.2: Modelling the number of successes in a fixed number of trials
13.3: Modelling the number of successes in a fixed interval
13.4: Modelling measurements that are distributed randomly
13.5: Mean and variance of transformed or combined random variables
13.6:  Distributions of combined random variables

Testing for validity: Spearman's hypothesis testing and x2 test for independence

14.1: Spearman's rank correlation coefficient
14.2: Hypothesis testing for the binomial probability, the Poisson mean and the product moment correlation coefficient
14.3: Testing for the mean of a normal distribution
14.4: Chi-squared test for independence
14.5: Chi-squared goodness-of-fit test
14.6: Choice, validity and interpretation of tests

Optimizing complex networks: graph theory

15.1: Constructing graphs
15.2: Graph theory for unweighted graphs
15.3: Graph theory for weighted graphs: the minimum spanning tree
15.4: Graph theory for weighted graphs - the Chinese postman problem
15.5: Graph theory for weighted graphs - the travelling salesman problem

Exploration

Sample Pages