Shrink-wrapped, looseleaf textbook for student binder + eBookPLUS Available for select titles in 2012, Jacaranda FlexiSavers provide students with a flexible, cost-saving alternative to the student textbook on your booklist. FlexiSavers are priced at 70% of the RRP of a standard textbook and are packaged as shrink-wrapped, looseleaf pages - making them ideal for student binders. All Jacaranda FlexiSavers include access to eBookPLUS. JACARANDA FLEXISAVER BENEFITS FOR PARENTS & STUDENTS: 1. 30% cost saving 2. Flexible format enables insertion of students and teacher notes throughout 3. Lightweight option of only bringing the chapters required to school Maths Quest 9 for the Australian Curriculum provides students with essential mathematical skills and knowledge through the content strands of Number and Algebra, Measurement and Geometry, and Statistics and Probability. The Curriculum focuses on students becoming proficient in mathematical understanding, fluency, reasoning and problem solving. Maths Quest 9 for the Australian Curriculum is specifically written and designed to meet the requirements and aspirations of the Australian Mathematics Curriculum. The student textbook contains the following features: ? clear and engaging design ? judicious use of ICT resources ? a numeracy chapter ? two chapters on problem solving ? Individual pathways activities for every exercise ? a Hungry brain class activity for each chapter ? two new ProjectsPLUS activities ? interactivities ? eLessons ? references to the content and proficiency strands of the new Australian Mathematics Curriculum This title features eBookPLUS: an electronic version of the textbook and a complementary set of targeted digital resources. These flexible and engaging ICT activities are available to you online at the JacarandaPLUS website (

Table of Contents

Introduction vii About eBookPLUS ix Acknowledgements x CHAPTER 1 Numeracy 1 1A Set A 2 Calculator allowed 2 1B Set B 4 Non-calculator 4 1C Set C 8 Calculator allowed 8 1D Set D 11 Non-calculator 11 1E Set E 15 Calculator allowed 15 1F Set F 19 Non-calculator 19 CHAPTER 2 NUMBER AND ALGEBRA REAL NUMBERS Number skills 23 Are you ready? 24 2A Real numbers 25 Exercise 2A 28 2B Surds 29 Exercise 2B 33 2C Indices 35 Exercise 2C 39 2D Scientific notation and significant figures 39 Exercise 2D 42 Summary 44 Chapter review 46 eBookPLUS activities 48 CHAPTER 3 NUMBER AND ALGEBRA PATTERNS AND ALGEBRA Algebra 49 Are you ready? 50 3A Using pronumerals 52 Exercise 3A 56 3B Algebra in worded problems 59 Exercise 3B 61 3C Simplifying algebraic expressions 63 Exercise 3C 65 3D Expanding brackets 67 Exercise 3D 71 3E Expansion patterns 74 Exercise 3E 76 3F More complicated expansions 77 Exercise 3F 79 3G The highest common factor 79 Exercise 3G 83 3H More factorising using the highest common factor 84 Exercise 3H 86 3I Applications 87 Exercise 3I 90 Summary 94 Chapter review 96 eBookPLUS activities 98 CHAPTER 4 NUMBER AND ALGEBRA LINEAR AND NON-LINEAR RELATIONSHIPS Linear equations 101 Are you ready? 102 4A Solving linear equations 103 Exercise 4A 108 4B Solving linear equations with brackets 110 Exercise 4B 111 4C Solving linear equations with pronumerals on both sides 113 Exercise 4C 114 4D Solving problems with linear equations 115 Exercise 4D 119 4E Rearranging formulas 122 Exercise 4E 125 Summary 127 Chapter review 128 eBookPLUS activities 130 CHAPTER 5 MEASUREMENT AND GEOMETRY GEOMETRIC REASONING Congruence and similarity 131 Are you ready? 132 5A Ratio and scale 133 Exercise 5A 136 5B Congruent figures 139 Exercise 5B 142 5C Similar figures 145 Exercise 5C 151 5D Area and volume of similar figures 155 Exercise 5D 158 Summary 160 Chapter review 161 eBookPLUS activities 164 CHAPTER 6 MEASUREMENT AND GEOMETRY PYTHAGORAS AND TRIGONOMETRY Pythagoras? theorem and trigonometry 165 Are you ready? 166 6A Right-angled triangles 167 Exercise 6A 168 6B Finding the length of sides 169 Exercise 6B 173 6C Composite shapes 176 Exercise 6C 178 6D Pythagorean triples 180 Exercise 6D 183 6E What is trigonometry? 184 Exercise 6E 188 6F Calculating unknown side lengths 192 Exercise 6F 195 6G Calculating unknown angles 199 Exercise 6G 202 6H Extension: angles of elevation and depression 204 Exercise 6H 207 Summary 211 Chapter review 214 eBookPLUS activities 218 PROJECTSPLUS ICT ACTIVITY pro-0086 Learning or earning? 220 CHAPTER 7 NUMBER AND ALGEBRA LINEAR AND NON-LINEAR RELATIONSHIPS Linear and non-linear graphs 223 Are you ready? 224 7A Plotting linear graphs 225 Exercise 7A 227 7B General equation of a straight line 229 Exercise 7B 234 7C Sketching linear graphs 236 Exercise 7C 240 7D Graphing calculators and linear graphs 241 Exercise 7D 242 7E Determining linear rules 243 Exercise 7E 246 7F Applications of linear graphs to worded problems 249 Exercise 7F 252 7G Midpoint of a line segment and distance between two points 254 Exercise 7G 256 7H Non-linear relations (parabolas, hyperbolas, circles) 258 Exercise 7H 264 Summary 266 Chapter review 269 eBookPLUS activities 272 CHAPTER 8 NUMBER AND ALGEBRA REAL NUMBERS Proportion and rates 273 Are you ready? 274 8A Direct proportion 275 Exercise 8A 280 8B Direct proportion and ratio 281 Exercise 8B 283 8C Inverse proportion 284 Exercise 8C 286 8D Introduction to rates 288 Exercise 8D 289 8E Constant and variable rates 290 Exercise 8E 294 8F Rates of change 296 Exercise 8F 299 8G Interpreting rates of change from graphs 300 Exercise 8G 304 Summary 306 Chapter review 308 eBookPLUS activities 312 CHAPTER 9 Problem solving I 313 CHAPTER 10 NUMBER AND ALGEBRA PATTERNS AND ALGEBRA Indices 327 Are you ready? 328 10A Review of index laws 329 Exercise 10A 333 10B Raising a power to another power 334 Exercise 10B 336 10C Negative indices 337 Exercise 10C 338 10D Square roots and cube roots 339 Exercise 10D 340 Summary 342 Chapter review 344 eBookPLUS activities 346 CHAPTER 11 NUMBER AND ALGEBRA MONEY AND FINANCIAL MATHEMATICS Financial mathematics 347 Are you ready? 348 11A Spending wisely 349 Exercise 11A 353 11B Discount, profit and loss 356 Exercise 11B 360 11C Simple interest 364 Exercise 11C 368 Summary 371 Chapter review 373 eBookPLUS activities 374 CHAPTER 12 MEASUREMENT AND GEOMETRY USING UNITS OF MEASUREMENTS Measurement 375 Are you ready? 376 12A Measurement 377 Exercise 12A 381 12B Area 385 Exercise 12B 388 12C Area and perimeter of a sector 393 Exercise 12C 394 12D Surface area of rectangular and triangular prisms 398 Exercise 12D 400 12E Surface area of a cylinder 404 Exercise 12E 405 12F Volume of prisms (including cylinders) 408 Exercise 12F 411 Summary 418 Chapter review 420 eBookPLUS activities 424 CHAPTER 13 STATISTICS AND PROBABILITY CHANCE Probability 425 Are you ready? 426 13A Introduction to probability 427 Exercise 13A 431 13B Estimating probability 433 Exercise 13B 435 13C Theoretical and experimental probability 437 Exercise 13C 440 13D Venn diagrams 443 Exercise 13D 447 13E Complementary, mutually exclusive and independent events 451 Exercise 13E 456 13F Conditional probability 460 Exercise 13F 464 Summary 466 Chapter review 468 eBookPLUS activities 472 CHAPTER 14 STATISTICS AND PROBABILITY DATA REPRESENTATION AND INTERPRETATION Statistics 473 Are you ready? 474 14A Sampling 475 Exercise 14A 482 14B Collecting data 489 Exercise 14B 493 14C Displaying data 496 Exercise 14C 504 14D Measures of central tendency 508 Exercise 14D 513 14E Measures of spread 520 Exercise 14E 526 Summary 530 Chapter review 534 eBookPLUS activities 536 CHAPTER 15 Problem solving II 537 PROJECTSPLUS ICT ACTIVITY pro-0087 Getting the budget in order 562 EXTENSION CHAPTER 16 NUMBER AND ALGEBRA LINEAR AND NON-LINEAR RELATIONSHIPS Functions 565 Are you ready? 566 16A Introduction to functions 567 Exercise 16A 569 16B Function notation 571 Exercise 16B 573 16C Fully defining a function 575 Exercise 16C 578 16D Working with functions 581 Exercise 16D 583 Summary 585 Chapter review 586 eBookPLUS activities 588 CHAPTER 17 NUMBER AND ALGEBRA LINEAR AND NON-LINEAR RELATIONSHIPS Quadratic algebra 589 Are you ready? 590 17A Quadratic equations 591 Exercise 17A 592 17B Solving quadratic equations of the form (x - a)(x - b) = 0 594 Exercise 17B 595 17C Factorisation and expansion patterns 596 Exercise 17C 598 17D Solving quadratic equations with two terms 601 Exercise 17D 604 17E Factorising quadratic trinomials 605 Exercise 17E 606 17F More quadratic trinomials 608 Exercise 17F 610 17G Solving quadratic equations with three terms 611 Exercise 17G 612 17H Solving quadratic equations in turning point form a(x - h)2 + k = 0 614 Exercise 17H 615 17I Problems and applications using quadratic equations 616 Exercise 17I 618 17J Simplifying algebraic fractions 619 Exercise 17J 624 Summary 627 Chapter review 629 eBookPLUS activities 632 CHAPTER 18 NUMBER AND ALGEBRA LINEAR AND NON-LINEAR RELATIONSHIPS Quadratic functions 633 Are you ready? 634 18A Graphs of quadratic functions 635 Exercise 18A 637 18B Plotting points to graph quadratic functions 640 Exercise 18B 643 18C Sketching parabolas of the form y = ax 2 645 Exercise 18C 648 18D Sketching parabolas of the form y = ax 2 + c 650 Exercise 18D 652 18E Sketching parabolas of the form y = (x - h)2 654 Exercise 18E 655 18F Sketching parabolas of the form y = (x - h)2 + k 657 Exercise 18F 660 18G Sketching parabolas of the form y = (x + a)(x + b) 662 Exercise 18G 664 18H Applications 665 Exercise 18H 666 Summary 669 Chapter review 672 eBookPLUS activities 676 Answers 677 Glossary 742 Index 748