Delta Mathematics Workbook: NCEA Level 3 (3e) : 9781486005192

Delta Mathematics Workbook: NCEA Level 3 (3e)

 
Edition
 
3
ISBN
 
9781486005192
ISBN 10
 
1486005195
Published
 
24/10/2013
Published by
 
Pearson New Zealand
Pages
 
Format
 
In stock
 
Title type
Book + Disk
$33.79
 
 
 
Description

Practice and consolidate skills 

Delta Mathematics Workbook reflects the current requirements of Mathematics and Statistics in the New Zealand Curriculum. The workbook encourages all students to gain and demonstrate a thorough understanding of mathematical concepts at NCEA Level 3.

The Delta Mathematics Workbook follows the sequence of the eight NCEA Achievement Standards for Level 3 Mathematics. Each exercise links to a corresponding exercise in Delta Mathematics. This makes it easy to find revision or extra practice material that directly matches the work covered in class.

A ‘write-on’ publication, this workbook offers brief worked examples, content summaries and hundreds of carefully-graded ‘in context’ problems that help students develop understanding and explain mathematical concepts in plain language.

The workbook covers all areas of the Level 3 NCEA Mathematics Achievement Standards. There is a comprehensive treatment of the new AS 3.4 Critical Path Analysis – including the critical path method, the backflow algorithm, scheduling with both an unlimited and a limited number of processors, and task allocation, with priority lists based on critical times and decreasing times.

Other topics that are new to a Years 13 Calculus course include linear programming and systems of equations. There is also generous coverage of the traditional Year 13 topics of differentiation, integration, complex numbers, trigonometry and conic sections.

The Delta Mathematics Workbook includes a Student CD that can be used on computers at home or at school. The CD contains

  • All the worked examples in Delta Mathematics
  • All the spreadsheets referred to in the main text and this workbook
  • Solutions to trig identity proofs and other ‘Show that’ questions from the Delta Mathematics text
  • Links to internet websites that illustrate mathematical concepts
  • A formula summary 
Table of contents

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 Limits, continuity and differentiability
15 Derivatives and 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 Definite integration and area
22 Numerical integration
23 Differential equations

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

Answers

Puzzles

Investigations 

Author biography

David Barton is a well-known mathematics author of over 50 best-selling texts and workbooks. Find out more about his mathematics books here and online at mathematics.co.nz.

Philip Lloyd is a Calculus teacher of many years standing. He is currently teaching at Epsom Girls Grammar School in Auckland.

Anna Cox was Head of Mathematics at St Hilda’s College in Dunedin. She is the author of Beginning Physics and Continuing Physics, both published by Pearson.

Target audience

NCEA Level 3/Year 13 Mathematics

Supplement URL

Find out more about Barton Mathematics.

Visit David Barton's website for additional links for each text, spreadsheets, statistics resources and more.