Delta Mathematics: NCEA Level 3, 3rd edition

Published by Pearson (July 9, 2013) © 2014

  • David Barton
  • Anna Cox

Paperback

$90.34 NZD
Free delivery
ISBN-13: 9781486005185
Delta Mathematics: NCEA Level 3
Published 2013

Title overview

The 3rd edition of Delta Mathematics is closely aligned with developments in New Zealand mathematics education. The content has been carefully revised in line with best teaching practice, and expanded to respond to changes in the curriculum and assessment. Delta Mathematics covers all eight of the NCEA Level 3 Mathematics Achievement Standards.

Delta Mathematics includes a balanced coverage of critical-path analysis, a new area in secondary mathematics, and incorporates:

  • critical-path method (earliest and latest start and finish times)
  • the backflow algorithm
  • scheduling, with both unlimited and limited processors
  • allocation of tasks, with priority lists based on critical times and decreasing times.

All the topics in Delta Mathematics are accompanied by a large number of well-balanced questions, graded in difficulty, to reinforce students' understanding and build solid foundations for future learning. Many investigations, applications, spreadsheet activities and puzzles help to make the underlying mathematics more interesting and relevant. Full answers are provided.

Table of contents

The NCEA Level 3 Mathematics and Statistics Achievement Standards for Year 13
Foreword to students, parents and teachers
Investigations
Puzzles
CAS calculator applications
Spreadsheet activities

3.1 Geometry of conic sections
1 Graphs and equations of conic sections
2 Lines and conics, parametric form

3.2 Linear-programming methods 
3 Linear inequalities 
4 Optimisation (two variable) 

3.3 Trigonometric methods 
5 Trig graphs and reciprocal trig functions 
6 Trig identities and formulae 
7 Trig equations

3.4 Critical path analysis 
8 Networks 
9 Critical paths 
10 Scheduling and processor allocation

3.5 Complex numbers 
11 The algebra of complex numbers 
12 Polynomials 
13 De Moivre’s theorem and complex roots

3.6 Differentiation methods 
14 Derivatives 
15 Differentiation rules 
16 Properties of curves 
17 Optimisation (one variable) 
18 Rates of change and parametric functions 

3.7 Integration methods 
19 Anti-differentiation
20 Integration techniques 
21 Areas under curves 
22 Numerical integration 
23 Differential equations 

3.15 Systems of simultaneous equations 
24 Systems of equations 
25 Solving a set of equations in context 

Appendices
Appendix 1: Functions 
Appendix 2: Binomial theorem 
Appendix 3: Parametric differentiation 
Appendix 4: Proofs 
Appendix 5: Formulae 

Answers 
Index

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