# Theta Mathematics 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.

This edition 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
- complete answers.

### Samples

##### Table of contents

**2.1 Co-ordinate Geometry
** 1 Co-ordinate geometry

2 Further co-ordinate geometry

**2.2 Graphical models
** 3 Polynomials and their graphs

4 Functions – domain and range

5 Other mathematical functions and their graphs

6 Transformations of graphs and the connection with parameters

7 Trigonometric graphs

8 Piecewise graphs

**2.4 Trigonometric relationships
** 9 Triangle trigonometry

10 The sine rule

11 The cosine rule

12 Circular measure

**2.6 Algebraic methods
**13 Basic algebra

14 Algebraic fractions

15 Factorising and quadratic expressions

16 Rearrangements of algebraic formulae

17 Quadratic equations

18 Exponential expressions

19 Logarithms

**2.7 Calculus methods
**20 Introducing differentiation

21 Calculus and curves

22 Anti-differentiation

23 Calculus applications

**2.12 Probability methods**

24 Probability

25 Further probability

26 The normal distribution

**2.13 Simulation
**27 Simulation methods

**2.14 Systems of equations
**28 Simultaneous equations

29 Non-linear simultaneous equations

##### 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.