Author(s): David Barton
Theta Mathematics has been completely updated 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.
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