Sigma Mathematics (NCEA Edition NCEA)

Sigma Mathematics (2nd Edition) has been completely reorganised and updated to cover the full spectrum of the seven NCEA Level 3 Statistics and Modelling Achievement Standards.  The liberal and functional use of colour throughout makes the book easier and more interesting to use. The textbook has comprehensive exercises, with full answers, and the questions are set in context.   A special  icon appears wherever technology would help students.

The seven NCEA Level 3 Statistics and Modelling Achievement Standards are covered in separate colour-coded sections so that it is obvious which topics fit where.hown by the content grouped by the colour-coding shown below. AS 3.1 Time Series AS 3.2 Confidence Intervals AS 3.3 Probability  AS 3.4 Solving equations AS 3.5 Investigations using bi-variate data AS 3.6 Probability distributions AS 3.7 Curve-fitting and modelling  The 20 chapters of Sigma Mathematics (NCEA Edition) reflect the organisation into the seven NCEA Level 3 Statistics and Modelling Achievement strands.  Click here for the chapter outline.  Features of Sigma Mathematics (NCEA Edition) include:   Full colour throughout New investigations, as well as many of the popular ones from the first edition New application questions added everywhere New puzzles and cartoons Indexed to navigate quickly between exercises and answers Full emphasis on using relevant technology throughout - including assistance with the new CAS = Computer Algebra Systems technology An associated Sigma Mathematics (NCEA Edition) Workbook (to be published April 2007) Data sets, simulations, interactive applications and spreadsheets that can be downloaded from this website.  They will also be included on a Companion CD that is bundled with the Workbook   There are also changes in content to reflect how NCEA dictates that the New Zealand Mathematics curriculum be assessed: AS 3.1 Time Series: Full emphasis on using spreadsheets for Time Series analysis.  Seasonal adjustments and forecasting are included.  Extension features index numbers and non-linear time series AS 3.3 Probability:  New sections on conditional probability, featuring contingency tables AS 3.4 Solving equations:  New emphasis on using technology where appropriate.  The 'moving line' approach is included in linear programming section. AS 3.5 Bi-variate data:  Completely new, with a full introduction to scatterplots, correlation and regression, and an emphasis on interpreting the results in a regression analysis.  A full treatment explaining the significance of the coefficient of determination, R2.  AS 3.6 Probability distributions:  Worked examples on the three main probability distributions (normal, binomial, Poisson) have been upgraded to reflect the use of technology AS 3.7 Curve-fitting and modelling:  The mathematical modelling section has been extensively revised to include a focus on curve fitting A special ‘technology’ icon appears wherever a graphics calculator or software package would help students. Spreadsheets are used, and in many places there are references to applets and webpages that are linked from the www.mathematics.co.nz website and the Companion CD. There are plenty of new investigations – in the same style as other books in the series. These are both independent of, and related to, the coursework. Many of these investigations could be profitably used when preparing students for the internally assessed NCEA Achievement standards. There are many mathematical puzzles included.  These will motivate students – some are quite challenging! To order an inspection copy of the new Sigma Mathematics (NCEA edition) contact Pearson Education

Corrections      Latest printing

Links related to the content of Sigma Mathematics (NCEA Edition) - Links

Spreadsheet files used in Sigma Mathematics - available for download:  Spreadsheet Files

Workbook     Workbook

Companion CD     Companion CD