# Theta Dimensions: NCEA Level 2

##### Description

**Theta Mathematics** has been written to reflect the current requirements of Mathematics and Statistics in the New Zealand Curriculum. In order to provide teachers and students with a comprehensive package that covers all fourteen Achievement Standards, **Theta Mathematics** is complemented by **Theta Dimensions**.

The chapters for each Achievement Standard are colour-coded to make them easy to find, and liberal use of colour throughout the book makes it easy and interesting to use. Helpful tags on the edge of each page enable students to navigate between the answer section and the related exercises.

**Theta Dimensions: **

- includes the few topics that tend to terminate at this level
- offers a mathematically worthwhile course fully at NCEA Level 2 standard
- provides all the prerequisites and background needed for NCEA Level 3 Statistics
- is a good choice for students who may want to take Statistics in Year 13.

**Theta Mathematics** and **Theta Dimensions** follows in the tradition of all David Barton’s resources and contains:

- material that addresses the requirements of the front end of the New Zealand Curriculum, including the Vision, Key Competencies, Values and Cross and Bicultural references
- concise theory notes written with students’ needs in mind
- comprehensive worked examples that are well set out
- plenty of questions in context
- graded exercises to practise skills and build solid foundations
- questions that require understanding and explanation, and some extended working
- investigations and puzzles, many new, to motivate students and stimulate thinking
- references to technology throughout, including animations, spreadsheet work, CAS calculators, and websites that are linked from www.mathematics.co.nz
- complete answers.

**An update for Theta Dimensions **

Changes to Achievement Standard 2.10 since *Theta Dimensions* was published mean that Chapter 20: Statistical Experiments no longer meets the Standard’s requirements.

An updated version Chapter 20 and Chapter 20 answers are available for download, please click here.

Also available:

**Theta Dimensions Workbook **(ISBN: 9781442549593)

**Theta Mathematics** (ISBN: 9781442549487) and **Theta Mathematics Workbook **(ISBN: 9781442549494)

**
Theta Mathematics Interactive Teaching Resource** (ISBN: 9781442554535)

for use with data projectors and interactive whiteboards, featuring interactive versions of the printed texts that include teacher tips, answer links and resources such as simulations and Blackline Masters to be used with the textbook. Available on subscription - contact your Education Consultant for more information and/or download the Order Form.

##### Table of contents

**2.2 Graphical Models
** 1 Polynomials and their graphs

2 Functions – domain and range

3 Other mathematical functions and their graphs

4 Transformations of graphs and the connection with parameters

5 Trigonometric graphs

6 Piecewise graphs

**2.3 Sequences and Series**

7 Introducing sequences

8 Arithmetic sequences

9 Geometric sequences

10 Growth and decay

**2.4 Trigonometric Relationships**

11 Triangle trigonometry

12 The sine rule

13 The cosine rule

14 Circular measure

**2.5 Networks**

15 Networks – basic properties

16 Networks – applications

**2.8, 2.9, 2.10 Statistical Investigation**

17 Questionnaire Design

18 Statistical inference from comparative data

19 Statistical experiments

**2.11 Statistical Reports**

20 Evaluating statistical reports

**2.12 Probability Methods**

21 Probability

22 Further probability

23 The normal distribution

**2.13 Simulation**

24 Simulation methods

##### Author biography

**David Barton**needs no introduction to a generation of New Zealand mathematics students and teachers. He has written a full six-book, award-winning series for secondary-school mathematics, and his material has also been published in Australia, South Africa, Fiji and Abu Dhabi. David Barton was educated at Wellington College and has taught at Wellington College and Rangitoto College in Auckland.

##### Supplement URL

Find out more about Barton Mathematics.

Visit David Barton's website for additional links for each text, spreadsheets, statistics resources and more.