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
icon.
5. Statistics
7. Networks & matrices
10. Models of growth
NB: Sample chapters do not have working links.
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:
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
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:
| 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 | ||
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
icon to hear a teacher’s voice leading
them through the solution.
We welcome your feedback:
info@haeseandharris.com.au
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.
SELF TUTOR is a new exciting feature of this book. The
icon on each worked example denotes an active link on the CD.
Simply ‘click’ on the
(or
anywhere in the example box) to access the worked example, with a
teacher’s voice explaining each step necessary to reach the answer.