Theta Dimensions: NCEA Level 2, 1st edition

Published by Pearson (February 28, 2012) © 2012

  • David Barton

Paperback

ISBN-13: 9781442549586
Theta Dimensions: NCEA Level 2
Published 2012

Title overview

Theta Mathematics reflects the 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
  • complete answers.

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
12 Circular measure

2.5 Networks
15 Networks – basic properties
16 Networks – applications

2.8 Statistical Investigation
17 Designing a questionnaire
18 Questionnaire analysis

2.9 Statistical Investigation
19 The statistical enquiry cycle
20 Multivariate data*

2.10 Statistical Investigation
Bivariate data*
21 Time series*
22 *covers statistical inference, experimental design and analysis
2.11 Statistical Report
23 Evaluating statistical reports

2.12 Probability Methods
24 Probability
25 Further probability
26 The normal distribution

2.13 Simulation
27 Simulation methods

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