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With new SELF TUTOR CD

The CD has our new ‘self-tutoring’ software. For every worked example in this book, a student can listen to a teacher’s voice explain each step in the worked example – ‘click’ anywhere in the worked example where you see the SELF TUTOR icon.

Support Material

Test & Exam Generator

Book Information

Series:

Mathematics for Year 11 (South Australia)

Title:

Year 11 Mathematical Applications (2nd edition)

Price:

Australia: AU$59.95 (inc. GST)
Overseas: AU$54.50 (ex. GST)

Authors:

Mark Bruce
Mark Humphries
Derk Kappelle
Robert Haese
Sandra Haese
Michael Haese

Year Published:

2007

ISBN-13:

978-1-876543-77-8

Extent:

592 pages

Availability:

Available now

Order form

Sample chapters for download

5. Statistics
7. Networks & matrices
10. Models of growth

NB: Sample chapters do not have working links.

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About the book

This second edition is a thorough revision of our established course in mathematics for Year 11 Mathematical Applications. This textbook leads to Year 12 Mathematical Applications. However, it is also possible to use this textbook as a lead in to Mathematical Methods (for Year 12) by appropriate chapter selection.

Other features:

About the CD

A new and improved version of the interactive Student CD accompanies this new edition.

A feature of the CD is the ‘self-tutoring’ software where a teacher’s voice explains each step in every worked example.

Click anywhere on any worked example where you see the SELF TUTOR icon.

The CD is ideal for independent study and revision. Students can revisit concepts taught in class and undertake their own revision and practice. The CD also contains the full text of the book so that students can load it on a home computer and keep the textbook at school.

The CD offers a range of interactive links:

Table of contents

1 EARNING AND SPENDING 9
  A Employment 10
  B Other income 24
  C Taxation 28
  D Spending 39
  E Discount 45
  F Comparing prices 51
  G Methods of payment 53
  H Cheque account reconciliation 61
  I Budgets 64
  J Running a car on a budget 67
    Review set 1 73
       
2 MEASUREMENT 77
  A Imperial standard units 79
  B The metric system 80
  C Conversion of units 84
  D Measuring devices and their accuracy 86
  E Approximating and estimating 90
  F Scales and ratio 93
  G Rates 99
  H Perimeter 105
  I Area 110
  J Volume and capacity 121
  K Major project suggestion 132
    Review set 2 132
       
3 DATA IN CONTEXT 137
  A Overseas travel 139
  B A holiday in New Zealand 145
  C Organising information and data 150
  D Data 154
  E Presenting data 158
  F Continuous data 167
  G Line graphs 168
  H Distorting information and data 171
  I Interpreting data 179
  J Investigating data in context 181
    Review set 3 186
       
4 SAVING AND BORROWING 189
  A The concept of interest 190
  B Simple interest 192
  C Compound interest 197
  D Financial institutions 208
  E Savings applications 210
  F Borrowing applications 220
  G Possible projects and investigations 237
    Review set 4 238
       
5 STATISTICS 241
  A Describing data 242
  B Collecting information 244
  C Random sampling 250
  D Presenting and interpreting data 252
  E Grouped discrete data 259
  F Continuous (interval) data 262
  G Measures of centres of distributions 264
  H Measuring the spread of data 272
  I Comparing data 281
  J What a sample tells us about a population 293
  K Data based investigation 295
  L Relative frequency 296
  M Normal distributions 299
  N Properties of normal distributions 301
  O Technology and normal distributions 304
    Review set 5A 306
    Review set 5B 307
    Review set 5C 309
    Review set 5D 310
    Review set 5E 311
       
6 GEOMETRY AND MENSURATION 313
  A Pythagoras’ rule (Review) 314
  B Right angled triangle trigonometry 320
  C Finding sides and angles 323
  D Problem solving using trigonometry 329
  E Constructing trigonometric formulae 332
  F 3-dimensional problem solving 333
  G Trigonometry with obtuse angles 335
  H Areas of triangles 337
  I Sectors and segments 340
  J The cosine rule 342
  K The sine rule 343
  L Using the sine and cosine rules 346
  M Bearings and navigation 348
    Review set 6 352
       
7 NETWORKS AND MATRICES 357
  A Network diagrams 359
  B Constructing networks 366
  C Problem solving with networks 372
  D Modelling with networks 390
  E Interpreting information with matrices 391
  F Further matrices 397
  G Addition and subtraction of matrices 400
  H Scalar multiplication 403
  I Matrix multiplication 404
  J Using technology for matrix operations 406
    Review set 7 409
       
8 SIMULATING RANDOM PROCESSES 415
  A Electronic simulations 416
  B Problem solving using simulations 418
  C Randomising devices 420
  D Probability calculations 426
  E Queuing 442
  F Major project 450
    Review set 8 451
       
9 FUNCTIONS AND GRAPHS 455
  A Graphs of points and lines 457
  B Displacement graphs 458
  C Interpreting slope 460
  D Other graphs 462
  E Straight line graphs 466
  F Solving linear equations 474
  G Linear modelling 478
  H Function notation 481
  I Function properties 484
  J Unfamiliar functions 487
  K Where functions meet 491
    Review set 9 493
       
10 MODELS OF GROWTH 497
  A Correlation 499
  B Two variable analysis 503
  C Laws of indices (Revision) 509
  D Graphs of exponentials 514
  E Growth and decay 516
  F Exponential equations 520
  G Some other applications of exponentials 523
  H Function fitting 525
    Review set 10 533
       
  ANSWER 537
       

Foreword

Mathematics for Year 11 Mathematical Applications (second edition) has been written to embrace the concepts outlined in the Stage 1 Mathematics Curriculum Statement. It is not our intention to define a course.

You are provided with a text book and a CD-Rom which displays the contents of the book plus many exciting new interactive features which will assist teachers and students. The book is language rich and technology rich. Whilst some of the exercises are simply designed to build skills, every effort has been made to contextualise problems, so that students can see everyday uses and practical applications of the mathematics they are studying.

The book contains many problems, from the basic to the advanced, to cater for a wide range of student abilities and interests. Much emphasis has been placed on the gradual development of concepts with appropriate worked examples. However, we have also provided extension material for those who wish to go beyond Stage 1 and look towards further studies or applications of mathematics for their career choices. It is not our intention that each chapter be worked through in full. Time constraints will not allow for this. Consequently, teachers must select exercises carefully, according to the abilities and prior knowledge of their students, in order to make the most efficient use of time and give as thorough coverage of work as possible.

The extensive use of graphics calculators and computer packages throughout the book enables students to realise the importance, application and appropriate use of technology. No single aspect of technology has been favoured. It is as important that students work with a pen and paper as it is that they use their calculator or graphics calculator, or use a spreadsheet or graphing package on computer.

The interactive features of the CD-Rom allow immediate access to our own specially designed geometry packages, graphing packages and more. Teachers are provided with a quick and easy method of demonstrating concepts, or students can discover for themselves, and revisit when necessary.

Teachers should note that instructions appropriate to each graphics calculator problem are available on the CD-Rom and can be printed for students.

In this changing world of mathematics education, we believe that the contextual approach shown in this book, with the associated use of technology, will enhance the students’ understanding, knowledge and appreciation of mathematics.

Each worked example in this book has a Self Tutor feature. Students can click on the SELF TUTOR icon to hear a teacher’s voice leading them through the solution.

We welcome your feedback:
info@haeseandharris.com.au

Using the interactive CD

SA Maths Apps 2ed CD INTERACTIVE LINK Calculator icons

The interactive CD is ideal for independent study.

Students can revisit concepts taught in class and undertake their own revision and practice. The CD also has the text of the book, allowing students to leave the textbook at school and keep the CD at home.

By clicking on the relevant icon, a range of new interactive features can be accessed:

Graphics calculators: some instructions for using Texas Instruments and Casio graphics calculators are also given on the CD and can be printed. Click on the relevant icon (TI or C) to access printable instructions.

Examples in the textbook are not always given for both types of calculator. Where that occurs, click on the relevant icon to access the instructions for the other type of calculator.

NEW

SELF TUTOR is a new exciting feature of this book. The SELF
TUTOR  icon on each worked example denotes an active link on the CD.

Simply ‘click’ on the SELF TUTOR (or anywhere in the example box) to access the worked example, with a teacher’s voice explaining each step necessary to reach the answer.

SELF TUTOR EXAMPLE