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Home > Mathematics > Jacaranda Maths Quest 9 Stage 5 2e NSW Australian curriculum learnON & print: (Maths Quest for New South Wales Junior Series)
Jacaranda Maths Quest 9 Stage 5 2e NSW Australian curriculum learnON & print: (Maths Quest for New South Wales Junior Series)

Jacaranda Maths Quest 9 Stage 5 2e NSW Australian curriculum learnON & print: (Maths Quest for New South Wales Junior Series)


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Table of Contents:
Overview ix Acknowledgments xi 1 NAPLAN practice 1 1.1 Overview 1 1.2 NAPLAN practice 1 2 1.3 NAPLAN practice 2 8 1.4 NAPLAN practice 3 15 1.5 Review 22 Answers 23 2 Financial mathematics [5.1] 25 2.1 Overview 25 NSW 2.2 [Stage 5.1] Salaries and wages 26 NSW 2.3 [Stage 5.1] Special rates 29 NSW 2.4 [Stage 5.1] Piecework 35 NSW 2.5 [Stage 5.1] Commissions and royalties 38 NSW 2.6 [Stage 5.1] Loadings and bonuses 41 NSW 2.7 [Stage 5.1] Taxation and net earnings 45 ACMNA211 2.8 [Stage 5.1] Simple interest 49 ACMNA229 2.9 [Stage 5.1] Compound interest 55 2.10 Review 61 Answers 65 3 Similar figures and scale drawings [5.1 and 5.3] 71 3.1 Overview 71 ACMMG201 3.2 [Stage 4] Congruent figures 72 ACMMG221 3.3 [Stage 5.1] Scale drawings 79 ACMMG220 | ACMMG221 3.4 [Stage 5.1] Similar figures 90 ACMMG244 3.5 [Stage 5.3] Area and volume of similar figures 102 3.6 Review 108 Answers 114 4 Right-angled triangles (trigonometry) [5.1] 119 4.1 Overview 119 ACMMG222 4.2 [Stage 4] Pythagoras’ theorem 120 ACMMG222 4.3 [Stage 4] Applications of Pythagoras’ theorem 129 ACMMG223 4.4 [Stage 5.1] Similarity and the sine, cosine and tangent ratios 136 ACMMG224 4.5 [Stage 5.1] Calculating unknown side lengths 144 ACMMG224 4.6 [Stage 5.1] Calculating unknown angles 152 ACMMG245 4.7 [Stage 5.1] Angles of elevation and depression 158 4.8 Review 164 Answers 171 5 Single variable data analysis [5.1 and 5.2] 177 5.1 Overview 177 ACMSP284 5.2 [Stage 4] Collecting data 178 ACMSP282 | ACMSP228 5.3 [Stage 5.1] Stem-and-leaf plots and dot plots 188 ACMSP282 5.4 [Stage 5.1] Comparing and displaying data 195 ACMSP283 5.5 [Stage 5.1] Mean, median and mode 206 ACMSP248 5.6 [Stage 5.2] Quartiles, interquartile range and distributions 214 5.7 Review 222 Answers 228 6 Indices, scientific notation and surds [5.1, 5.2 and 5.3] 241 6.1 Overview 241 ACMNA186 6.2 [Stage 5.3] Rational and irrational numbers 242 ACMMG219 6.3 [Stage 5.3] Simple operations with surds 248 ACMNA264 6.4 [Stage 5.1] Rounding and significant figures 254 ACMNA210 6.5 [Stage 5.1] Scientific notation 258 ACMNA212 6.6 [Stage 5.1] Applying the index laws to variables 264 ACMNA231 6.7 [Stage 5.1] Using index laws to simplify algebraic products and quotients 270 ACMNA209 | ACMNA231 6.8 [Stage 5.2] Applying index laws to algebraic expressions involving integer indices 273 ACMNA264 6.9 [Stage 5.3] Introduction to fractional indices 278 6.10 Review 281 Answers 287 7 Area, surface area and volume [5.1 and 5.2] 297 7.1 Overview 297 ACMMG219 7.2 [Stage 5.1] Time scales and units of measurement 298 ACMMG216 7.3 [Stage 5.1] Area of composite shapes 307 ACMMG216 7.4 [Stage 5.1] Area and perimeter of semicircles and sectors 318 ACMMG218 7.5 [Stage 5.1] Surface area of rectangular and triangular prisms 324 ACMMG217 | ACMMG242 7.6 [Stage 5.2] Surface area of cylinders and composite solids 330 ACMMG217 | ACMMG242 7.7 [Stage 5.2] Volume of prisms, cylinders and composite solids 335 7.8 Review 346 Answers 352 8 Algebraic techniques 1 [5.2] 359 8.1 Overview 359 ACMNA175 | ACMNA176 8.2 [Stage 4] Variables 360 ACMNA177 8.3 [Stage 4] Algebra in worded problems 366 ACMNA177 8.4 [Stage 4] Simplifying algebraic expressions 370 ACMNA232 8.5 [Stage 5.2] Simplifying algebraic fractions 1 375 ACMNA213 | ACMNA233 8.6 [Stage 5.2] Expanding algebraic expressions 380 ACMNA230 8.7 [Stage 5.2] The highest common factor 387 ACMNA233 8.8 [Stage 5.2] Factorising monic quadratics 390 8.9 Review 394 Answers 399 9 Probability [5.1 and 5.2] 407 9.1 Overview 407 ACMSP226 9.2 [Stage 5.1] Theoretical probability 408 ACMSP226 9.3 [Stage 5.1] Experimental probability 415 ACMSP226 9.4 [Stage 5.1] Venn diagrams and two-way tables 421 ACMSP225 9.5 [Stage 5.2] Two-step experiments 431 ACMSP246 9.6 [Stage 5.2] Mutually exclusive and independent events 439 ACMSP247 9.7 [Stage 5.2] Conditional probability 447 9.8 Review 454 Answers 459 10 Linear equations [5.2] 471 10.1 Overview 471 ACMNA215 | ACMNA240 10.2 [Stage 5.2] Solving linear equations 472 ACMNA215 10.3 [Stage 5.2] Solving linear equations with brackets 479 ACMNA215 10.4 [Stage 5.2] Solving linear equations with pronumerals on both sides 482 ACMNA235 10.5 [Stage 5.2] Solving problems with linear equations 486 ACMNA234 10.6 [Stage 5.2] Substituting values into formulas 490 10.7 Review 494 Answers 499 11 Linear and non-linear relationships [5.1 and 5.2] 503 11.1 Overview 503 ACMNA215 11.2 [Stage 5.1] Sketching linear graphs using the coordinates of two points 504 ACMNA294 | ACMNA214 11.3 [Stage 5.1] Midpoint of a line segment and distance between two points 509 ACMNA294 11.4 [Stage 5.1] The gradient of a straight line 514 ACMNA215 11.5 [Stage 5.2] Using the gradient–intercept form to graph linear relationships 522 ACMNA238 11.6 [Stages 5.1 and 5.2] Parallel and perpendicular lines 526 NSW 11.7 [Stage 5.2] Finding the equation of a straight line 529 NSW 11.8 [Going further] Practical applications of linear graphs 535 ACMNA296 | ACMNA239 11.9 [Stages 5.1 and 5.2] Non-linear relationships (parabolas, exponentials, circles) 540 11.10 Review 550 Answers 555 12 Quadratic equations [5.2] 571 12.1 Overview 571 ACMNA241 12.2 [Stage 5.2] Quadratic equations 572 ACMNA241 12.3 [Stage 5.2] The Null Factor Law 576 ACMNA241 12.4 [Stage 5.2] Solving the quadratic equation ax2 + bx + c = 0 579 ACMNA241 12.5 [Stage 5.2] Solving quadratic equations with two terms 582 ACMNA241 12.6 [Stage 5.2] Applications of quadratic equations 585 12.7 Review 589 Answers 592 13 Proportion and rates [5.2 and 5.3] 595 13.1 Overview 595 ACMNA208 13.2 [Stage 5.2] Direct proportion 596 ACMNA208 13.3 [Stage 5.2] Direct proportion and ratio 600 ACMNA208 13.4 [Stage 5.2] Inverse proportion 604 ACMNA208 13.5 [Stage 5.2] Simple rate problems 607 ACMNA208 13.6 [Stage 5.3] Constant and variable rates 610 ACMNA208 13.7 [Stage 5.3] Rates of change 616 13.8 Review 621 Answers 627 14 Algebraic techniques 2 [5.3] 635 14.1 Overview 635 ACMNA233 14.2 [Stage 5.3] Special binomial products 636 ACMNA233 14.3 [Stage 5.3] Further expansions 641 ACMNA269 14.4 [Stage 5.3] The highest common binomial factor 642 ACMNA269 14.5 [Stage 5.3] Factorisation patterns 645 ACMNA269 14.6 [Stage 5.3] Factorising non-monic quadratics 649 NSW 14.7 [Stage 5.3] Simplifying algebraic fractions 2 652 ACMNA233 14.8 [Stage 5.3] Applications of binomial products 657 14.9 Review 665 Answers 669 15 Quadratic relationships [5.3] 677 15.1 Overview 677 ACMNA267 15.2 [Stage 5.3] Graphs of quadratic functions 678 ACMNA267 15.3 [Stage 5.3] Plotting points to graph quadratic functions 683 ACMNA267 15.4 [Stage 5.3] Sketching parabolas of the form y = ax2 689 ACMNA267 15.5 [Stage 5.3] Sketching parabolas of the form y = ax2 + k 693 ACMNA267 15.6 [Stage 5.3] Sketching parabolas of the form y = (x − h)2 697 ACMNA267 15.7 [Stage 5.3] Sketching parabolas of the form y = (x − h)2 + k 701 ACMNA267 15.8 [Stage 5.3] Sketching parabolas of the form y = (x + a) (x + b) 705 ACMNA267 15.9 [Stage 5.3] Applications 709 15.10 Review 714 Answers 719 Glossary 739 Index 749


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Product Details
  • ISBN-13: 9780730347187
  • Publisher: John Wiley & Sons Australia Ltd
  • Publisher Imprint: Jacaranda Wiley, Australia
  • Height: 28 mm
  • No of Pages: 768
  • Returnable: N
  • Spine Width: 2 mm
  • Width: 22 mm
  • ISBN-10: 0730347184
  • Publisher Date: 15 Dec 2017
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Series Title: Maths Quest for New South Wales Junior Series
  • Weight: 1503 gr

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Jacaranda Maths Quest 9 Stage 5 2e NSW Australian curriculum learnON & print: (Maths Quest for New South Wales Junior Series)
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