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Home > Mathematics and Science books > Mathematics > Jacaranda Maths Quest 10 + 10 A Victorian Curriculum 1e (revised) learnON & print
Jacaranda Maths Quest 10 + 10 A Victorian Curriculum 1e (revised) learnON & print

Jacaranda Maths Quest 10 + 10 A Victorian Curriculum 1e (revised) learnON & print


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About the Book

Table of Contents:
About this resource xi CAS support in Maths Quest xiii Acknowledgements xiii Topic 1 Indices 1 1.1 Overview 1 1.2 Review of index laws 2 1.3 Negative indices 7 1.4 Fractional indices 11 1.5 Combining index laws 16 1.6 Review 21 Answers 26 Topic 2 Algebra and equations 31 2.1 Overview 31 2.2 Substitution 32 2.3 Adding and subtracting algebraic fractions 37 2.4 Multiplying and dividing algebraic fractions 41 2.5 Solving simple equations 45 2.6 Solving multi-step equations 50 2.7 Literal equations 54 2.8 Review 57 Answers 61 Topic 3 Coordinate geometry 66 3.1 Overview 66 3.2 Sketching linear graphs 67 3.3 Determining linear equations 75 3.4 The distance between two points 82 3.5 The midpoint of a line segment 85 3.6 Parallel and perpendicular lines 88 3.7 Review 97 Answers 104 Topic 4 Simultaneous linear equations and inequalities 112 4.1 Overview 112 4.2 Graphical solution of simultaneous linear equations 113 4.3 Solving simultaneous linear equations using substitution 119 4.4 Solving simultaneous linear equations using elimination 122 4.5 Applications of simultaneous linear equations 127 4.6 Solving simultaneous linear and non-linear equations 131 4.7 Solving linear inequalities 138 4.8 Inequalities on the Cartesian plane 142 4.9 Solving simultaneous linear inequalities 148 4.10 Review 152 Answers 158 Topic 5 Trigonometry I 167 5.1 Overview 167 5.2 Pythagoras’ theorem 168 5.3 Pythagoras’ theorem in three dimensions 175 5.4 Trigonometric ratios 180 5.5 Using trigonometry to calculate side lengths 185 5.6 Using trigonometry to calculate angle size 190 5.7 Angles of elevation and depression 196 5.8 Bearings 200 5.9 Applications 207 5.10 Review 212 Answers 218 Topic 6 Surface area and volume 224 6.1 Overview 224 6.2 Area 225 6.3 Total surface area 234 6.4 Volume 243 6.5 Review 254 Answers 261 Topic 7 Quadratic expressions 264 7.1 Overview 264 7.2 Expanding algebraic expressions 265 7.3 Factorising expressions with three terms 272 7.4 Factorising expressions with two or four terms 277 7.5 Factorising by completing the square 281 7.6 Mixed factorisation 286 7.7 Review 288 Answers 293 Topic 8 Quadratic equations 298 8.1 Overview 298 8.2 Solving quadratic equations algebraically 299 8.3 The quadratic formula 306 8.4 Solving quadratic equations graphically 310 8.5 The discriminant 315 8.6 Review 320 Answers 325 Topic 9 Non-linear relationships 329 9.1 Overview 329 9.2 Plotting parabolas 330 9.3 Sketching parabolas 337 9.4 Sketching parabolas in turning point form 343 9.5 Sketching parabolas of the form y = ax2 + bx + c 350 9.6 Exponential functions and graphs 353 9.7 The hyperbola 359 9.8 The circle 362 9.9 Review 366 Answers 372 Topic 10 Deductive geometry 394 10.1 Overview 394 10.2 Angles, triangles and congruence 395 10.3 Similar triangles 405 10.4 Quadrilaterals 412 10.5 Polygons 422 10.6 Review 426 Answers 433 Project: Getting the budget in order 437 Topic 11 Probability 439 11.1 Overview 439 11.2 Review of probability 440 11.3 Tree diagrams 456 11.4 Independent and dependent events 462 11.5 Conditional probability 468 11.6 Subjective probability 472 11.7 Review 475 Answers 481 Topic 12 Univariate data 491 12.1 Overview 491 12.2 Measures of central tendency 492 12.3 Measures of spread 503 12.4 Box-and-whisker plots 508 12.5 The standard deviation 517 12.6 Comparing data sets 526 12.7 Review 532 Answers 539 Topic 13 Bivariate data 549 13.1 Overview 549 13.2 Bivariate data 550 13.3 Lines of best fit 557 13.4 Time series 569 13.5 Review 578 Answers 583 Topic 14 Statistics in the media 591 14.1 Overview 591 14.2 Populations and samples 592 14.3 Primary and secondary data 597 14.4 Evaluating inquiry methods and statistical reports 606 14.5 Statistical investigations 618 14.6 Review 624 Answers 633 Project: Climate change 639 Topic 15 Financial mathematics 640 15.1 Overview 640 15.2 Purchasing goods 641 15.3 Buying on terms 645 15.4 Successive discounts 650 15.5 Compound interest 654 15.6 Depreciation 660 15.7 Loan repayments 663 15.8 Review 666 Answers 670 Topic 16 Real numbers 675 16.1 Overview 675 16.2 Number classification review 676 16.3 Surds 681 16.4 Operations with surds 684 16.5 Fractional indices 695 16.6 Negative indices 699 16.7 Logarithms 702 16.8 Logarithm laws 706 16.9 Solving equations 711 16.10 Review 716 Answers 722 Topic 17 Polynomials 728 17.1 Overview 728 17.2 Polynomials 729 17.3 Adding, subtracting and multiplying polynomials 731 17.4 Long division of polynomials 733 17.5 Polynomial values 738 17.6 The remainder and factor theorems 741 17.7 Factorising polynomials 743 17.8 Solving polynomial equations 747 17.9 Review 750 Answers 754 Topic 18 Functions and relations 759 18.1 Overview 759 18.2 Functions and relations 760 18.3 Exponential functions 770 18.4 Cubic functions 779 18.5 Quartic functions 784 18.6 Transformations 787 18.7 Review 795 Answers 800 Topic 19 Circle geometry 807 19.1 Overview 807 19.2 Angles in a circle 808 19.3 Intersecting chords, secants and tangents 815 19.4 Cyclic quadrilaterals 823 19.5 Tangents, secants and chords 826 19.6 Review 832 Answers 838 Topic 20 Trigonometry II 842 20.1 Overview 842 20.2 The sine rule 843 20.3 The cosine rule 851 20.4 Area of triangles 855 20.5 The unit circle 861 20.6 Trigonometric functions 866 20.7 Solving trigonometric equations 871 20.8 Review 873 Answers 879 Topic 21 Programming 21.1 Overview  89 21.2 Programs 890 21.3 Data structures 899 21.4 Algorithms 912 21.5 Matrices 926 21.6 Graphics 932 21.7 Simulations 943 21.8 Review 958 Answers 966 Appendix: CAS Calculator companion 887 Glossary 908 Index 921  


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Product Details
  • ISBN-13: 9780730348566
  • Publisher: John Wiley & Sons Australia Ltd
  • Publisher Imprint: Jacaranda Wiley, Australia
  • Height: 28 mm
  • No of Pages: 944
  • Returnable: N
  • Weight: 1899 gr
  • ISBN-10: 0730348563
  • Publisher Date: 15 Dec 2017
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Spine Width: 3 mm
  • Width: 22 mm


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