Maths Quest 10+10a for the Australian Curriculum 2Ed & Ebookplus - Wiley
Author(s): Kylie Boucher, Lyn Elms, Douglas Scott
Maths Quest 10+10A for the Australian Curriculum Second Edition has been updated based on in-depth research and feedback from practising teachers of Mathematics.
KEY FEATURES
? Worked solutions available to students and teachers for every problem solving and reasoning question.
? An enhanced emphasis on both problem solving & reasoning, creating greater understanding of both mathematical concepts and skills.
? Assessment material incorporating the Australian Curriculum Achievement Standards.
? Improvements to student engagement, with enhanced Individual Pathway activities, new interactivities and new videos telling the Story of Mathematics.
? Teacher support: eGuidePLUS provides online access to the student textbook, teacher notes on each lesson, a range of activities to engage students and end of top assessment items.
Maths Quest 10+10A for Australian Curriculum 2E and eBookPLUS is a hard-copy student text accompanied by eBookPLUS.
> eBookPLUS resources include:
? Access from any digital device PC/MAC/iPad/Android Tablet.
? Worksheets - Word documents designed for easy customisation and editing.
? Interactivities and games to reinforce and enhance student learning.
? eLessons - engaging video clips and supporting material.
? Weblinks to relevant support material on the internet.
? ProjectsPLUS - unique ICT-based projects that provide opportunities for students to demonstrate creativity, thinking skills and teamwork.
Product Information
About eBookPLUS ix Overview x Acknowledgements xii NUMBER AND ALGEBRA Topic 1 Indices 2 1.1 Overview 2 1.2 Review of index laws 4 Exercise 1.2 6 1.3 Negative indices 9 Exercise 1.3 11 1.4 Fractional indices 14 Exercise 1.4 15 1.5 Combining index laws 18 Exercise 1.5 20 1.6 Review ONLINE ONLY 25 eBookPLUS activities 29 Answers 30 NUMBER AND ALGEBRA Topic 2 Algebra and equations 34 2.1 Overview 34 2.2 Substitution 36 Exercise 2.2 38 2.3 Adding and subtracting algebraic fractions 41 Exercise 2.3 44 2.4 Multiplying and dividing algebraic fractions 45 Exercise 2.4 47 2.5 Solving simple equations 49 Exercise 2.5 52 2.6 Solving multi-step equations 55 Exercise 2.6 58 2.7 Literal equations 60 Exercise 2.7 61 2.8 Review ONLINE ONLY 63 eBookPLUS activities 67 Answers 68 NUMBER AND ALGEBRA Topic 3 Coordinate geometry 72 3.1 Overview 72 3.2 Sketching linear graphs 74 Exercise 3.2 78 3.3 Determining linear equations 80 Exercise 3.3 84 3.4 The distance between two points 87 Exercise 3.4 89 3.5 The midpoint of a line segment 91 Exercise 3.5 93 3.6 Parallel and perpendicular lines 94 Exercise 3.6 99 3.7 Review ONLINE ONLY 105 eBookPLUS activities 109 Answers 110 NUMBER AND ALGEBRA Topic 4 Simultaneous linear equations and inequalities 116 4.1 Overview 116 4.2 Graphical solution of simultaneous linear equations 118 Exercise 4.2 122 4.3 Solving simultaneous linear equations using substitution 124 Exercise 4.3 126 4.4 Solving simultaneous linear equations using elimination 128 Exercise 4.4 130 4.5 Applications of simultaneous linear equations 133 Exercise 4.5 135 4.6 Solving simultaneous linear and non-linear equations 137 Exercise 4.6 142 4.7 Solving linear inequalities 144 Exercise 4.7 147 4.8 Inequalities on the Cartesian plane 149 Exercise 4.8 153 4.9 Solving simultaneous linear inequalities 155 Exercise 4.9 157 4.10 Review ONLINE ONLY 160 eBookPLUS activities 165 Answers 166 MEASUREMENT AND GEOMETRY Topic 5 Trigonometry I 172 5.1 Overview 172 5.2 Pythagoras' theorem 174 Exercise 5.2 178 5.3 Pythagoras' theorem in three dimensions 181 Exercise 5.3 184 5.4 Trigonometric ratios 186 Exercise 5.4 189 5.5 Using trigonometry to calculate side lengths 192 Exercise 5.5 194 5.6 Using trigonometry to calculate angle size 197 Exercise 5.6 199 5.7 Angles of elevation and depression 202 Exercise 5.7 203 5.8 Bearings 207 Exercise 5.8 211 5.9 Applications 213 Exercise 5.9 214 5.10 Review ONLINE ONLY 219 eBookPLUS activities 223 Answers 224 MEASUREMENT AND GEOMETRY Topic 6 Surface area and volume 228 6.1 Overview 228 6.2 Area 230 Exercise 6.2 234 6.3 Total surface area 239 Exercise 6.3 244 6.4 Volume 248 Exercise 6.4 254 6.5 Review ONLINE ONLY 261 eBookPLUS activities 265 Answers 266 NUMBER AND ALGEBRA Topic 7 Quadratic expressions 268 7.1 Overview 268 7.2 Expanding algebraic expressions 270 Exercise 7.2 273 7.3 Factorising expressions with three terms 276 Exercise 7.3 279 7.4 Factorising expressions with two or four terms 281 Exercise 7.4 283 7.5 Factorising by completing the square 287 Exercise 7.5 290 7.6 Mixed factorisation 291 Exercise 7.6 292 7.7 Review ONLINE ONLY 295 eBookPLUS activities 299 Answers 300 NUMBER AND ALGEBRA Topic 8 Quadratic equations 304 8.1 Overview 304 8.2 Solving quadratic equations algebraically 306 Exercise 8.2 310 8.3 The quadratic formula 313 Exercise 8.3 315 8.4 Solving quadratic equations graphically 318 Exercise 8.4 320 8.5 The discriminant 323 Exercise 8.5 326 8.6 Review ONLINE ONLY 329 eBookPLUS activities 333 Answers 334 NUMBER AND ALGEBRA Topic 9 Non-linear relationships 336 9.1 Overview 336 9.2 Plotting parabolas 338 Exercise 9.2 342 9.3 Sketching parabolas 345 Exercise 9.3 349 9.4 Sketching parabolas in turning point form 351 Exercise 9.4 355 9.5 Sketching parabolas of the form y = ax2 + bx + c 358 Exercise 9.5 361 9.6 Exponential functions and graphs 362 Exercise 9.6 365 9.7 The hyperbola 368 Exercise 9.7 370 9.8 The circle 372 Exercise 9.8 374 9.9 Review ONLINE ONLY 377 eBookPLUS activities 381 Answers 382 MEASUREMENT AND GEOMETRY Topic 10 Deductive geometry 394 10.1 Overview 394 10.2 Angles, triangles and congruence 396 Exercise 10.2 401 10.3 Similar triangles 406 Exercise 10.3 408 10.4 Quadrilaterals 412 Exercise 10.4 418 10.5 Polygons 423 Exercise 10.5 424 10.6 Review ONLINE ONLY 429 eBookPLUS activities 433 Answers 434 ProjectsPLUS ICT ACTIVITY Getting the budget in order pro-0087 436 STATISTICS AND PROBABILITY Topic 11 Probability 438 11.1 Overview 438 11.2 Review of probability 440 Exercise 11.2 452 11.3 Tree diagrams 456 Exercise 11.3 459 11.4 Independent and dependent events 462 Exercise 11.4 465 11.5 Conditional probability 469 Exercise 11.5 471 11.6 Subjective probability 473 Exercise 11.6 474 11.7 Review ONLINE ONLY 477 eBookPLUS activities 481 Answers 482 STATISTICS AND PROBABILITY Topic 12 Univariate data 488 12.1 Overview 488 12.2 Measures of central tendency 490 Exercise 12.2 495 12.3 Measures of spread 501 Exercise 12.3 503 12.4 Box-and-whisker plots 506 Exercise 12.4 512 12.5 The standard deviation 516 Exercise 12.5 523 12.6 Comparing data sets 525 Exercise 12.6 527 12.7 Review ONLINE ONLY 533 eBookPLUS activities 537 Answers 538 STATISTICS AND PROBABILITY Topic 13 Bivariate data 544 13.1 Overview 544 13.2 Bivariate data 546 Exercise 13.2 549 13.3 Lines of best fi t 554 Exercise 13.3 561 13.4 Time series 567 Exercise 13.4 572 13.5 Review ONLINE ONLY 577 eBookPLUS activities 581 Answers 582 STATISTICS AND PROBABILITY Topic 14 Statistics in the media 586 14.1 Overview 586 14.2 Populations and samples 588 Exercise 14.2 591 14.3 Primary and secondary data 594 Exercise 14.3 599 14.4 Evaluating inquiry methods and statistical reports 603 Exercise 14.4 611 14.5 Statistical investigations 616 Exercise 14.5 620 14.6 Review ONLINE ONLY 623 eBookPLUS activities 627 Answers 628 ProjectsPLUS ICT ACTIVITY Climate change pro-0100 632 NUMBER AND ALGEBRA Topic 15 Financial mathematics 634 15.1 Overview 634 15.2 Purchasing goods 636 Exercise 15.2 637 15.3 Buying on terms 640 Exercise 15.3 641 15.4 Successive discounts 645 Exercise 15.4 647 15.5 Compound interest 649 Exercise 15.5 653 15.6 Depreciation 656 Exercise 15.6 657 15.7 Loan repayments 660 Exercise 15.7 661 15.8 Review ONLINE ONLY 663 eBookPLUS activities 667 Answers 668 NUMBER AND ALGEBRA Topic 16 Real numbers 670 16.1 Overview 670 16.2 Number classification review 672 Exercise 16.2 675 FMPrelims.indd 7 9/22/14 3:08 PM 16.3 Surds 677 Exercise 16.3 679 16.4 Operations with surds 680 Exercise 16.4 688 16.5 Fractional indices 691 Exercise 16.5 693 16.6 Negative indices 696 Exercise 16.6 697 16.7 Logarithms 698 Exercise 16.7 700 16.8 Logarithm laws 701 Exercise 16.8 704 16.9 Solving equations 706 Exercise 16.9 709 16.10 Review ONLINE ONLY 713 eBookPLUS activities 717 Answers 718 NUMBER AND ALGEBRA Topic 17 Polynomials 722 17.1 Overview 722 17.2 Polynomials 724 Exercise 17.2 725 17.3 Adding, subtracting and multiplying polynomials 726 Exercise 17.3 727 17.4 Long division of polynomials 729 Exercise 17.4 732 17.5 Polynomial values 734 Exercise 17.5 735 17.6 The remainder and factor theorems 736 Exercise 17.6 738 17.7 Factorising polynomials 739 Exercise 17.7 742 17.8 Solving polynomial equations 744 Exercise 17.8 745 17.9 Review ONLINE ONLY 747 eBookPLUS activities 751 Answers 752 NUMBER AND ALGEBRA Topic 18 Functions and relations 756 18.1 Overview 756 18.2 Functions and relations 758 Exercise 18.2 766 18.3 Exponential functions 769 Exercise 18.3 773 18.4 Cubic functions 778 Exercise 18.4 781 18.5 Quartic functions 783 Exercise 18.5 785 18.6 Transformations 787 Exercise 18.6 793 18.7 Review ONLINE ONLY 795 eBookPLUS activities 799 Answers 800 MEASUREMENT AND GEOMETRY Topic 19 Circle geometry 804 19.1 Overview 804 19.2 Angles in a circle 806 Exercise 19.2 811 19.3 Intersecting chords, secants and tangents 814 Exercise 19.3 818 19.4 Cyclic quadrilaterals 821 Exercise 19.4 822 19.5 Tangents, secants and chords 825 Exercise 19.5 827 19.6 Review ONLINE ONLY 831 eBookPLUS activities 835 Answers 836 MEASUREMENT AND GEOMETRY Topic 20 Trigonometry II 838 20.1 Overview 838 20.2 The sine rule 840 Exercise 20.2 847 20.3 The cosine rule 849 Exercise 20.3 852 20.4 Area of triangles 854 Exercise 20.4 856 20.5 The unit circle 860 Exercise 20.5 863 20.6 Trigonometric functions 866 Exercise 20.6 868 20.7 Solving trigonometric equations 871 Exercise 20.7 872 20.8 Review ONLINE ONLY 875 eBookPLUS activities 879 Answers 880 Glossary 885 Index 893
General Fields
- :
- : John Wiley & Sons Australia Ltd.
- : Contains Online resource
- : 0.001
- : 01 October 2014
- : 28.00 cmmm X 21.50 cmmm X 2.80 cmmm
- : Australia
- : books
Special Fields
- : Kylie Boucher, Lyn Elms, Douglas Scott
- : Paperback
- : 2nd Revised edition
- : en
- : 510
- : 918
