{"title":"Maths Quest VCE","description":null,"products":[{"product_id":"jacaranda-maths-quest-11-foundation-mathematics-vce-units-12-second-edition-learnon-print","title":"Jacaranda Maths Quest 11 Foundation Mathematics VCE Units 1\u00262 Second Edition (learnON \u0026 Print)","description":"\u003cp\u003e\u003cb\u003eJacaranda Maths Quest 11 Foundation Mathematics VCE Units 1 and 2\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eEverything your students need to succeed\u003c\/p\u003e \u003cp\u003eThe best Mathematics series for the new VCE Study Design. Developed by expert Victorian teachers for VCE students.\u003c\/p\u003e \u003cp\u003eInvestigations are available for all Units to build student competence and confidence.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eLearn online with Australia's most powerful learning platform, learnON\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eBe confident your students can get unstuck and progress, in class or at home. For every question online they receive immediate feedback and fully worked solutions. Teacher-led videos to learn and re-learn. Instant reports make tracking progress simple.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCombine units flexibly with the Jacaranda Supercourse\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAn Australian first, build the course you’ve always wanted with the Jacaranda Supercourse. You can combine all Units 1 to 4, so students can move backwards and forwards freely.\u003c\/p\u003e\u003ch3\u003eTable of Contents\u003c\/h3\u003e\u003cp\u003eAbout this resource vii\u003c\/p\u003e \u003cp\u003eAcknowledgements xiv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Integers 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 2\u003c\/p\u003e \u003cp\u003e1.2 Adding and subtracting integers 3\u003c\/p\u003e \u003cp\u003e1.3 Multiplying integers 8\u003c\/p\u003e \u003cp\u003e1.4 Dividing integers 11\u003c\/p\u003e \u003cp\u003e1.5 Combining operations on integers 14\u003c\/p\u003e \u003cp\u003e1.6 Review 19\u003c\/p\u003e \u003cp\u003eAnswers 22\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Fractions 25\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 26\u003c\/p\u003e \u003cp\u003e2.2 Introducing fractions 27\u003c\/p\u003e \u003cp\u003e2.3 Simplifying fractions 36\u003c\/p\u003e \u003cp\u003e2.4 Mixed numbers and improper fractions 40\u003c\/p\u003e \u003cp\u003e2.5 Adding and subtracting fractions 46\u003c\/p\u003e \u003cp\u003e2.6 Multiplying fractions 51\u003c\/p\u003e \u003cp\u003e2.7 Dividing fractions 58\u003c\/p\u003e \u003cp\u003e2.8 Working with mixed numbers 62\u003c\/p\u003e \u003cp\u003e2.9 Review 68\u003c\/p\u003e \u003cp\u003eAnswers 71\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Decimals 77\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 78\u003c\/p\u003e \u003cp\u003e3.2 Place value and comparing decimals 79\u003c\/p\u003e \u003cp\u003e3.3 Converting decimals to fractions and fractions to decimals 85\u003c\/p\u003e \u003cp\u003e3.4 Rounding and repeating decimals 90\u003c\/p\u003e \u003cp\u003e3.5 Adding and subtracting decimals 96\u003c\/p\u003e \u003cp\u003e3.6 Multiplying decimals (including powers of 10) 101\u003c\/p\u003e \u003cp\u003e3.7 Dividing decimals (including powers of 10) 106\u003c\/p\u003e \u003cp\u003e3.8 Review 113\u003c\/p\u003e \u003cp\u003eAnswers 115\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Powers and roots 119\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 120\u003c\/p\u003e \u003cp\u003e4.2 Index (power) notation 121\u003c\/p\u003e \u003cp\u003e4.3 Squares and square roots 126\u003c\/p\u003e \u003cp\u003e4.4 Using powers and roots to solve practical problems 130\u003c\/p\u003e \u003cp\u003e4.5 Review 139\u003c\/p\u003e \u003cp\u003eAnswers 141\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Estimation and approximation 143\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 144\u003c\/p\u003e \u003cp\u003e5.2 Rounding and estimation 145\u003c\/p\u003e \u003cp\u003e5.3 Reasonableness and calculator skills 148\u003c\/p\u003e \u003cp\u003e5.4 Order of magnitude 154\u003c\/p\u003e \u003cp\u003e5.5 Approximation 161\u003c\/p\u003e \u003cp\u003e5.6 Review 168\u003c\/p\u003e \u003cp\u003eAnswers 172\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Ratios and proportions 175\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 176\u003c\/p\u003e \u003cp\u003e6.2 Introduction to ratios 177\u003c\/p\u003e \u003cp\u003e6.3 Ratios of two quantities 184\u003c\/p\u003e \u003cp\u003e6.4 Divide into ratios 194\u003c\/p\u003e \u003cp\u003e6.5 Scales, diagrams and maps 203\u003c\/p\u003e \u003cp\u003e6.6 Proportion 210\u003c\/p\u003e \u003cp\u003e6.7 Review 216\u003c\/p\u003e \u003cp\u003eAnswers 220\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Rates 223\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 224\u003c\/p\u003e \u003cp\u003e7.2 Identifying rates 225\u003c\/p\u003e \u003cp\u003e7.3 Conversion of rates 230\u003c\/p\u003e \u003cp\u003e7.4 Comparison of rates 234\u003c\/p\u003e \u003cp\u003e7.5 Rates and costs 237\u003c\/p\u003e \u003cp\u003e7.6 Review 248\u003c\/p\u003e \u003cp\u003eAnswers 251\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Percentages 255\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 256\u003c\/p\u003e \u003cp\u003e8.2 Calculating percentages 257\u003c\/p\u003e \u003cp\u003e8.3 Express as a percentage 264\u003c\/p\u003e \u003cp\u003e8.4 Percentage decrease and increase 269\u003c\/p\u003e \u003cp\u003e8.5 Simple interest 275\u003c\/p\u003e \u003cp\u003e8.6 Review 281\u003c\/p\u003e \u003cp\u003eAnswers 284\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Equations 287\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 288\u003c\/p\u003e \u003cp\u003e9.2 Number patterns and pronumerals 289\u003c\/p\u003e \u003cp\u003e9.3 Building expressions 296\u003c\/p\u003e \u003cp\u003e9.4 Backtracking to solve equations 300\u003c\/p\u003e \u003cp\u003e9.5 Balancing equations 304\u003c\/p\u003e \u003cp\u003e9.6 Solving equations 309\u003c\/p\u003e \u003cp\u003e9.7 Rearranging formulas 313\u003c\/p\u003e \u003cp\u003e9.8 Applications of equations and formulas 317\u003c\/p\u003e \u003cp\u003e9.9 Review 321\u003c\/p\u003e \u003cp\u003eAnswers 324\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Collecting and classifying data 329\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 330\u003c\/p\u003e \u003cp\u003e10.2 Collecting data 331\u003c\/p\u003e \u003cp\u003e10.3 Simple survey procedures 340\u003c\/p\u003e \u003cp\u003e10.4 Classifying data 349\u003c\/p\u003e \u003cp\u003e10.5 Categorical data 353\u003c\/p\u003e \u003cp\u003e10.6 Numerical data 371\u003c\/p\u003e \u003cp\u003e10.7 Comparing and interpreting data 385\u003c\/p\u003e \u003cp\u003e10.8 Review 392\u003c\/p\u003e \u003cp\u003eAnswers 398\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Financial systems and income payments 409\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 410\u003c\/p\u003e \u003cp\u003e11.2 Purchasing methods 411\u003c\/p\u003e \u003cp\u003e11.3 Financial systems  -  permanent employment 419\u003c\/p\u003e \u003cp\u003e11.4 Financial systems  -  taxation and deductions 424\u003c\/p\u003e \u003cp\u003e11.5 Income payments  -  commission, piecework and royalties 432\u003c\/p\u003e \u003cp\u003e11.6 Income payments and calculations 437\u003c\/p\u003e \u003cp\u003e11.7 Review 445\u003c\/p\u003e \u003cp\u003eAnswers 449\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Length and area 453\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Overview 454\u003c\/p\u003e \u003cp\u003e12.2 SI units, length and estimation 455\u003c\/p\u003e \u003cp\u003e12.3 Perimeters of familiar and composite shapes 462\u003c\/p\u003e \u003cp\u003e12.4 Units of area and estimation 471\u003c\/p\u003e \u003cp\u003e12.5 Areas of regular shapes 478\u003c\/p\u003e \u003cp\u003e12.6 Surface areas of familiar prisms 486\u003c\/p\u003e \u003cp\u003e12.7 Review 492\u003c\/p\u003e \u003cp\u003eAnswers 496\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Volume, capacity and mass 499\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Overview 500\u003c\/p\u003e \u003cp\u003e13.2 Volume of prisms and capacity 501\u003c\/p\u003e \u003cp\u003e13.3 Volume of spheres and composite shapes 509\u003c\/p\u003e \u003cp\u003e13.4 Mass 513\u003c\/p\u003e \u003cp\u003e13.5 Review 518\u003c\/p\u003e \u003cp\u003eAnswers 521\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Presenting and interpreting data 523\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Overview 524\u003c\/p\u003e \u003cp\u003e14.2 Measures of central tendency and the outlier effect 525\u003c\/p\u003e \u003cp\u003e14.3 Measures of spread 535\u003c\/p\u003e \u003cp\u003e14.4 Describing graphical distributions 547\u003c\/p\u003e \u003cp\u003e14.5 Characteristics of data sets 558\u003c\/p\u003e \u003cp\u003e14.6 Drawing and using column and pie graphs 579\u003c\/p\u003e \u003cp\u003e14.7 Misleading graphs 588\u003c\/p\u003e \u003cp\u003e14.8 Graphing and technology 596\u003c\/p\u003e \u003cp\u003e14.9 Review 606\u003c\/p\u003e \u003cp\u003eAnswers 615\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Managing finances 627\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Overview 628\u003c\/p\u003e \u003cp\u003e15.2 Products and services 629\u003c\/p\u003e \u003cp\u003e15.3 Rent and utilities costs 634\u003c\/p\u003e \u003cp\u003e15.4 Credit cards 645\u003c\/p\u003e \u003cp\u003e15.5 Personal income-related expenses 656\u003c\/p\u003e \u003cp\u003e15.6 Car expenses 662\u003c\/p\u003e \u003cp\u003e15.7 Managing money 670\u003c\/p\u003e \u003cp\u003e15.8 Financial and economic data trends 677\u003c\/p\u003e \u003cp\u003e15.9 Review 685\u003c\/p\u003e \u003cp\u003eAnswers 690\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 Space, time and measurement 695\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Overview 696\u003c\/p\u003e \u003cp\u003e16.2 Conventions and geometric shapes 697\u003c\/p\u003e \u003cp\u003e16.3 Angles and polygons 706\u003c\/p\u003e \u003cp\u003e16.4 Angles, parallel lines and transversals 711\u003c\/p\u003e \u003cp\u003e16.5 Constructing triangles 717\u003c\/p\u003e \u003cp\u003e16.6 Using scales 720\u003c\/p\u003e \u003cp\u003e16.7 Time and temperature 725\u003c\/p\u003e \u003cp\u003e16.8 Map distances 735\u003c\/p\u003e \u003cp\u003e16.9 Directions 739\u003c\/p\u003e \u003cp\u003e16.10 Speed 745\u003c\/p\u003e \u003cp\u003e16.11 Travel times 750\u003c\/p\u003e \u003cp\u003e16.12 Review 761\u003c\/p\u003e \u003cp\u003eAnswers 765\u003c\/p\u003e \u003cp\u003eGlossary 771\u003c\/p\u003e \u003cp\u003eIndex 777\u003c\/p\u003e","brand":"Jacaranda","offers":[{"title":"Foundation Mathematics","offer_id":53558767780113,"sku":"9781119876052","price":90.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0786\/7786\/8817\/files\/9781119876052.jpg?v=1778750848"},{"product_id":"jacaranda-maths-quest-12-foundation-mathematics-vce-units-34-learnon-print","title":"Jacaranda Maths Quest 12 Foundation Mathematics VCE Units 3\u00264 (learnON \u0026 Print)","description":"\u003cp\u003e\u003cb\u003eJacaranda Maths Quest 12 Foundation Mathematics VCE Units 3 and 4\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eEverything your students need to succeed.\u003c\/p\u003e \u003cp\u003eThe best Mathematics series for the new VCE Study Design. Developed by expert Victorian teachers for VCE students.\u003c\/p\u003e \u003cp\u003eInvestigations are available for all Units to build student competence and confidence.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eLearn online with Australia's most powerful learning platform, learnON\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eBe confident your students can get unstuck and progress, in class or at home. For every question online they receive immediate feedback and fully worked solutions. Teacher-led videos to learn and re-learn. Instant reports make tracking progress simple.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCombine units flexibly with the Jacaranda Supercourse\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAn Australian first, build the course you've always wanted with the Jacaranda Supercourse. You can combine all Units 1 to 4, so students can move backwards and forwards freely.\u003c\/p\u003e\u003ch3\u003eTable of Contents\u003c\/h3\u003e\u003cp\u003eAbout This Resource vii\u003c\/p\u003e \u003cp\u003eAcknowledgements xiv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Calculations 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 2\u003c\/p\u003e \u003cp\u003e1.2 Number operations 3\u003c\/p\u003e \u003cp\u003e1.3 Order of operations 6\u003c\/p\u003e \u003cp\u003e1.4 Rounding 11\u003c\/p\u003e \u003cp\u003e1.5 Estimation and approximation strategies 15\u003c\/p\u003e \u003cp\u003e1.6 Decimals and fractions 18\u003c\/p\u003e \u003cp\u003e1.7 Rational and irrational numbers 26\u003c\/p\u003e \u003cp\u003e1.8 Review 37\u003c\/p\u003e \u003cp\u003eAnswers 39\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Ratios, proportion and variation 43\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 44\u003c\/p\u003e \u003cp\u003e2.2 Direct variation (proportion) 45\u003c\/p\u003e \u003cp\u003e2.3 Direct variation (proportion) and ratios 48\u003c\/p\u003e \u003cp\u003e2.4 Partial variation (proportion) 52\u003c\/p\u003e \u003cp\u003e2.5 Inverse variation (proportion) 55\u003c\/p\u003e \u003cp\u003e2.6 Ratios 59\u003c\/p\u003e \u003cp\u003e2.7 Ratio and proportion 65\u003c\/p\u003e \u003cp\u003e2.8 Dividing in a given ratio 69\u003c\/p\u003e \u003cp\u003e2.9 Review 73\u003c\/p\u003e \u003cp\u003eAnswers 76\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Percentages 81\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 82\u003c\/p\u003e \u003cp\u003e3.2 Converting percentages 83\u003c\/p\u003e \u003cp\u003e3.3 Percentage quantities and percentage error 87\u003c\/p\u003e \u003cp\u003e3.4 Application of percentages 90\u003c\/p\u003e \u003cp\u003e3.5 Profit and loss 95\u003c\/p\u003e \u003cp\u003e3.6 Review 99\u003c\/p\u003e \u003cp\u003eAnswers 101\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Linear and simultaneous equations 103\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 104\u003c\/p\u003e \u003cp\u003e4.2 Algebraic substitution and transposition 105\u003c\/p\u003e \u003cp\u003e4.3 Linear equations 111\u003c\/p\u003e \u003cp\u003e4.4 Linear modelling 116\u003c\/p\u003e \u003cp\u003e4.5 Solving simultaneous equations graphically 121\u003c\/p\u003e \u003cp\u003e4.6 Solving simultaneous equations by substitution 127\u003c\/p\u003e \u003cp\u003e4.7 Solving simultaneous equations by elimination 130\u003c\/p\u003e \u003cp\u003e4.8 Review 136\u003c\/p\u003e \u003cp\u003eAnswers 139\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Data collection and organisation 145\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 146\u003c\/p\u003e \u003cp\u003e5.2 Types of data 147\u003c\/p\u003e \u003cp\u003e5.3 Collecting, organising and displaying data 150\u003c\/p\u003e \u003cp\u003e5.4 Histograms and frequency polygons 161\u003c\/p\u003e \u003cp\u003e5.5 Contemporary representation of data 167\u003c\/p\u003e \u003cp\u003e5.6 Stem-and-leaf plots 178\u003c\/p\u003e \u003cp\u003e5.7 Five-number summary and boxplots 184\u003c\/p\u003e \u003cp\u003e5.8 Graphical methods of misrepresenting data 188\u003c\/p\u003e \u003cp\u003e5.9 Review 196\u003c\/p\u003e \u003cp\u003eAnswers 201\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Measures of central tendency and spread 211\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 212\u003c\/p\u003e \u003cp\u003e6.2 Measures of central tendency 213\u003c\/p\u003e \u003cp\u003e6.3 Measures of spread 224\u003c\/p\u003e \u003cp\u003e6.4 Outliers 238\u003c\/p\u003e \u003cp\u003e6.5 Applications of measures of central tendency 244\u003c\/p\u003e \u003cp\u003e6.6 Review 249\u003c\/p\u003e \u003cp\u003eAnswers 254\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Comparing data sets and long-term prediction 257\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 258\u003c\/p\u003e \u003cp\u003e7.2 Constructing boxplots 259\u003c\/p\u003e \u003cp\u003e7.3 Comparing parallel boxplots 265\u003c\/p\u003e \u003cp\u003e7.4 Comparing back-to-back stem plots 270\u003c\/p\u003e \u003cp\u003e7.5 Comparing histograms 276\u003c\/p\u003e \u003cp\u003e7.6 The line of best fit 284\u003c\/p\u003e \u003cp\u003e7.7 Making predictions using a line of best fit 296\u003c\/p\u003e \u003cp\u003e7.8 Review 306\u003c\/p\u003e \u003cp\u003eAnswers 314\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Simulations and simple probability 327\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 328\u003c\/p\u003e \u003cp\u003e8.2 Theoretical probability and sample spaces 329\u003c\/p\u003e \u003cp\u003e8.3 Multi-stage experiments 336\u003c\/p\u003e \u003cp\u003e8.4 Relative frequency, simulations and long-term data 343\u003c\/p\u003e \u003cp\u003e8.5 Review 355\u003c\/p\u003e \u003cp\u003eAnswers 359\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Interest and loans 365\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 366\u003c\/p\u003e \u003cp\u003e9.2 Simple interest 367\u003c\/p\u003e \u003cp\u003e9.3 Compound interest 375\u003c\/p\u003e \u003cp\u003e9.4 Comparing simple and compound interest 382\u003c\/p\u003e \u003cp\u003e9.5 Comparing interest, rental and loan costs 392\u003c\/p\u003e \u003cp\u003e9.6 Review 399\u003c\/p\u003e \u003cp\u003eAnswers 402\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Financial and consumer mathematics 407\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 408\u003c\/p\u003e \u003cp\u003e10.2 Taxation and superannuation 409\u003c\/p\u003e \u003cp\u003e10.3 Business income and expenditure 418\u003c\/p\u003e \u003cp\u003e10.4 Financial products 428\u003c\/p\u003e \u003cp\u003e10.5 Financial and economic data 440\u003c\/p\u003e \u003cp\u003e10.6 Review 447\u003c\/p\u003e \u003cp\u003eAnswers 451\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Scales, plans and models 455\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 456\u003c\/p\u003e \u003cp\u003e11.2 Reading and interpreting scale drawings 457\u003c\/p\u003e \u003cp\u003e11.3 Calculating measurements from scale drawings 462\u003c\/p\u003e \u003cp\u003e11.4 Creating scale drawings 472\u003c\/p\u003e \u003cp\u003e11.5 Review 482\u003c\/p\u003e \u003cp\u003eAnswers 486\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Right-angled triangles 489\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Overview 490\u003c\/p\u003e \u003cp\u003e12.2 Pythagoras’ theorem 491\u003c\/p\u003e \u003cp\u003e12.3 Trigonometric ratios  -  sine, cosine and tangent 496\u003c\/p\u003e \u003cp\u003e12.4 Calculating unknown side lengths of right-angled triangles 502\u003c\/p\u003e \u003cp\u003e12.5 Calculating unknown angles in right-angled triangles 509\u003c\/p\u003e \u003cp\u003e12.6 Angles of elevation and depression 514\u003c\/p\u003e \u003cp\u003e12.7 Review 520\u003c\/p\u003e \u003cp\u003eAnswers 524\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Measurement 527\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Overview 528\u003c\/p\u003e \u003cp\u003e13.2 Units of measurement 529\u003c\/p\u003e \u003cp\u003e13.3 Areas of composite figures 537\u003c\/p\u003e \u003cp\u003e13.4 Surface areas of pyramids and irregular solids 545\u003c\/p\u003e \u003cp\u003e13.5 Limits of accuracy 552\u003c\/p\u003e \u003cp\u003e13.6 Scientific notation and significant figures 559\u003c\/p\u003e \u003cp\u003e13.7 Review 566\u003c\/p\u003e \u003cp\u003eAnswers 570\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Volume 573\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Overview 574\u003c\/p\u003e \u003cp\u003e14.2 Review of volume of prisms, units of volume and capacity 575\u003c\/p\u003e \u003cp\u003e14.3 Volume of cylinders and spheres 582\u003c\/p\u003e \u003cp\u003e14.4 Volume of composite shapes 586\u003c\/p\u003e \u003cp\u003e14.5 Review 591\u003c\/p\u003e \u003cp\u003eAnswers 595\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Shapes 597\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Overview 598\u003c\/p\u003e \u003cp\u003e15.2 Polygons 599\u003c\/p\u003e \u003cp\u003e15.3 Transformations 602\u003c\/p\u003e \u003cp\u003e15.4 Similarity 614\u003c\/p\u003e \u003cp\u003e15.5 Symmetry 617\u003c\/p\u003e \u003cp\u003e15.6 Review 624\u003c\/p\u003e \u003cp\u003eAnswers 630\u003c\/p\u003e \u003cp\u003eGlossary 639\u003c\/p\u003e \u003cp\u003eIndex 645\u003c\/p\u003e","brand":"Jacaranda","offers":[{"title":"Foundation Mathematics","offer_id":53558767812881,"sku":"9781119876144","price":90.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0786\/7786\/8817\/files\/9781119876144.jpg?v=1778750849"},{"product_id":"jacaranda-maths-quest-11-general-mathematics-vce-units-12-third-edition-learnon-print","title":"Jacaranda Maths Quest 11 General Mathematics VCE Units 1\u00262 Third Edition (learnON \u0026 Print)","description":"\u003cp\u003e\u003cb\u003eJacaranda Maths Quest 11 General Mathematics VCE Units 1 and 2\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eEverything your students need to succeed.\u003c\/p\u003e \u003cp\u003eThe best Mathematics series for the new VCE Study Design. Developed by expert Victorian teachers for VCE students.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eGet exam ready: past VCAA exam questions (all since 2013)\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eStudents can start preparing from lesson one, with past VCAA exam questions embedded in every lesson. Practice, customisable SACs available for all Units to build student competence and confidence.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eLearn online with Australia's most powerful learning platform, learnON\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eBe confident your students can get unstuck and progress, in class or at home. For every question online they receive immediate feedback and fully worked solutions. Teacher-led videos to learn and re-learn. Instant reports make tracking progress simple. \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCombine units flexibly with the Jacaranda Supercourse\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAn Australian first, build the course you've always wanted with the Jacaranda Supercourse. You can combine all Methods Units 1 to 4, so students can move backwards and forwards freely. Or Methods and General Units 1 \u0026amp; 2 for when students switch courses. The possibilities are endless!\u003c\/p\u003e\u003ch3\u003eTable of Contents\u003c\/h3\u003e\u003cp\u003eAbout This Resource vii\u003c\/p\u003e \u003cp\u003eAcknowledgements xiv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Investigating and comparing data distributions 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 2\u003c\/p\u003e \u003cp\u003e1.2 Types of data 3\u003c\/p\u003e \u003cp\u003e1.3 Categorical data distributions 8\u003c\/p\u003e \u003cp\u003e1.4 Numerical data distributions  -  frequency tables and histograms 18\u003c\/p\u003e \u003cp\u003e1.5 Numerical data distributions  -  dot plots and stem plots 24\u003c\/p\u003e \u003cp\u003e1.6 Characteristics of numerical data distributions 32\u003c\/p\u003e \u003cp\u003e1.7 Summarising numerical data  -  mean and median 36\u003c\/p\u003e \u003cp\u003e1.8 Summarising numerical data  -  range, interquartile range and standard deviation 45\u003c\/p\u003e \u003cp\u003e1.9 Symmetrical and asymmetrical distributions 54\u003c\/p\u003e \u003cp\u003e1.10 The five-number summary and boxplots 63\u003c\/p\u003e \u003cp\u003e1.11 Comparing the distribution of a numerical variable across two or more groups 71\u003c\/p\u003e \u003cp\u003e1.12 Review 79\u003c\/p\u003e \u003cp\u003eAnswers 88\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Linear relations and equations 103\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 104\u003c\/p\u003e \u003cp\u003e2.2 Linear relations and solving linear equations 105\u003c\/p\u003e \u003cp\u003e2.3 Developing linear equations 114\u003c\/p\u003e \u003cp\u003e2.4 Simultaneous linear equations 118\u003c\/p\u003e \u003cp\u003e2.5 Problem solving with simultaneous equations 129\u003c\/p\u003e \u003cp\u003e2.6 Review 137\u003c\/p\u003e \u003cp\u003eAnswers 142\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Financial mathematics 147\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 148\u003c\/p\u003e \u003cp\u003e3.2 Ratio, rates and percentages 149\u003c\/p\u003e \u003cp\u003e3.3 Percentage applications and GST 157\u003c\/p\u003e \u003cp\u003e3.4 Simple interest applications 165\u003c\/p\u003e \u003cp\u003e3.5 Compound interest applications 171\u003c\/p\u003e \u003cp\u003e3.6 Purchasing options 181\u003c\/p\u003e \u003cp\u003e3.7 Review 189\u003c\/p\u003e \u003cp\u003eAnswers 193\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Matrices 197\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 198\u003c\/p\u003e \u003cp\u003e4.2 Types of matrices 199\u003c\/p\u003e \u003cp\u003e4.3 Adding and subtracting matrices 206\u003c\/p\u003e \u003cp\u003e4.4 Multiplying matrices 211\u003c\/p\u003e \u003cp\u003e4.5 Inverse matrices and problem-solving with matrices 221\u003c\/p\u003e \u003cp\u003e4.6 Communications and connections 232\u003c\/p\u003e \u003cp\u003e4.7 Transition matrices 239\u003c\/p\u003e \u003cp\u003e4.8 Review 247\u003c\/p\u003e \u003cp\u003eAnswers 254\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Linear functions, graphs and models 261\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 262\u003c\/p\u003e \u003cp\u003e5.2 Linear functions and their features 263\u003c\/p\u003e \u003cp\u003e5.3 Sketching linear graphs 272\u003c\/p\u003e \u003cp\u003e5.4 Linear modelling 282\u003c\/p\u003e \u003cp\u003e5.5 Determining equations of straight lines 288\u003c\/p\u003e \u003cp\u003e5.6 Piecewise linear graphs and their application 292\u003c\/p\u003e \u003cp\u003e5.7 Review 307\u003c\/p\u003e \u003cp\u003eAnswers 314\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Sequences and first-order linear recurrence relations 323\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 324\u003c\/p\u003e \u003cp\u003e6.2 Arithmetic sequences 325\u003c\/p\u003e \u003cp\u003e6.3 Arithmetic sequence applications 338\u003c\/p\u003e \u003cp\u003e6.4 Generate and analyse an arithmetic sequence using a recurrence relation 343\u003c\/p\u003e \u003cp\u003e6.5 Geometric sequences 346\u003c\/p\u003e \u003cp\u003e6.6 Geometric sequence applications 353\u003c\/p\u003e \u003cp\u003e6.7 Generate and analyse a geometric sequence using a recurrence relation 358\u003c\/p\u003e \u003cp\u003e6.8 Modelling growth and decay using recurrence relations 361\u003c\/p\u003e \u003cp\u003e6.9 Review 370\u003c\/p\u003e \u003cp\u003eAnswers 373\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Financial mathematics extension 379\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 380\u003c\/p\u003e \u003cp\u003e7.2 Reducing balance loans modelled using recurrence relations 381\u003c\/p\u003e \u003cp\u003e7.3 Solving reducing balance loan problems with technology 389\u003c\/p\u003e \u003cp\u003e7.4 Annuities 397\u003c\/p\u003e \u003cp\u003e7.5 Perpetuities 405\u003c\/p\u003e \u003cp\u003e7.6 Review 413\u003c\/p\u003e \u003cp\u003eAnswers 419\u003c\/p\u003e \u003cp\u003e“fmprelims_printpdf”  -  2022\/8\/18  -  9:19  -  Page VI  -  # 6\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Investigating relationships between two numerical variables 423\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 424\u003c\/p\u003e \u003cp\u003e8.2 Response and explanatory variables 425\u003c\/p\u003e \u003cp\u003e8.3 Scatterplots and basic correlation 429\u003c\/p\u003e \u003cp\u003e8.4 Informal interpretation of association and causation 439\u003c\/p\u003e \u003cp\u003e8.5 The line of good fit and predictions 444\u003c\/p\u003e \u003cp\u003e8.6 Introduction to the least squares line of best fit (extending) 460\u003c\/p\u003e \u003cp\u003e8.7 Review 469\u003c\/p\u003e \u003cp\u003eAnswers 478\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Graphs and networks 485\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 486\u003c\/p\u003e \u003cp\u003e9.2 Definitions and terms 487\u003c\/p\u003e \u003cp\u003e9.3 Planar graphs 506\u003c\/p\u003e \u003cp\u003e9.4 Connected graphs 516\u003c\/p\u003e \u003cp\u003e9.5 Weighted graphs and networks, and trees 526\u003c\/p\u003e \u003cp\u003e9.6 Review 542\u003c\/p\u003e \u003cp\u003eAnswers 554\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Variation 565\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 566\u003c\/p\u003e \u003cp\u003e10.2 Direct and inverse variation 567\u003c\/p\u003e \u003cp\u003e10.3 Data transformations 572\u003c\/p\u003e \u003cp\u003e10.4 Orders of magnitude 585\u003c\/p\u003e \u003cp\u003e10.5 Non-linear data modelling 591\u003c\/p\u003e \u003cp\u003e10.6 Review 603\u003c\/p\u003e \u003cp\u003eAnswers 609\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Space and measurement 621\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 622\u003c\/p\u003e \u003cp\u003e11.2 Scientific notation, significant figures and rounding 623\u003c\/p\u003e \u003cp\u003e11.3 Pythagoras’ theorem 631\u003c\/p\u003e \u003cp\u003e11.4 Perimeter and area of polygons and triangles 641\u003c\/p\u003e \u003cp\u003e11.5 Perimeter and area of composite shapes and sectors 648\u003c\/p\u003e \u003cp\u003e11.6 Volume 659\u003c\/p\u003e \u003cp\u003e11.7 Surface area 670\u003c\/p\u003e \u003cp\u003e11.8 Review 681\u003c\/p\u003e \u003cp\u003eAnswers 689\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Applications of trigonometry 693\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Overview 694\u003c\/p\u003e \u003cp\u003e12.2 Trigonometric ratios 695\u003c\/p\u003e \u003cp\u003e12.3 Angles of elevation and depression, and bearings 711\u003c\/p\u003e \u003cp\u003e12.4 The sine rule 721\u003c\/p\u003e \u003cp\u003e12.5 The cosine rule 729\u003c\/p\u003e \u003cp\u003e12.6 Area of triangles 736\u003c\/p\u003e \u003cp\u003e12.7 Review 743\u003c\/p\u003e \u003cp\u003eAnswers 751\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Similarity and scale 755\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Overview 756\u003c\/p\u003e \u003cp\u003e13.2 Similar objects 757\u003c\/p\u003e \u003cp\u003e13.3 Linear scale factors 767\u003c\/p\u003e \u003cp\u003e13.4 Area and volume scale factors 775\u003c\/p\u003e \u003cp\u003e13.5 Review 782\u003c\/p\u003e \u003cp\u003eAnswers 789\u003c\/p\u003e \u003cp\u003eGlossary 791\u003c\/p\u003e \u003cp\u003eIndex 797\u003c\/p\u003e","brand":"Jacaranda","offers":[{"title":"General Mathematics","offer_id":53558767845649,"sku":"9781119876236","price":90.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0786\/7786\/8817\/files\/9781119876236.jpg?v=1778750857"},{"product_id":"jacaranda-maths-quest-12-general-mathematics-vce-units-34-7e-learnon-print","title":"Jacaranda Maths Quest 12 General Mathematics VCE Units 3\u00264 7E (learnON \u0026 Print)","description":"\u003cp\u003e\u003cb\u003eJacaranda Maths Quest 12 General Mathematics VCE Units 3 and 4\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eEverything your students need to succeed.\u003cbr\u003e\u003cbr\u003eThe best Mathematics series for the new VCE Study Design. Developed by expert Victorian teachers for VCE students. \u003c\/p\u003e \u003cp\u003e\u003cb\u003eGet exam ready: past VCAA exam questions (all since 2013)\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eStudents can start preparing from lesson one, with past VCAA exam questions embedded in every lesson.  Practice, customisable SACs available for all Units to build student competence and confidence. \u003c\/p\u003e \u003cp\u003e\u003cb\u003eLearn online with Australia’s most powerful learning platform, learnON\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eBe confident your students can get unstuck and progress, in class or at home. For every question online they receive immediate feedback and fully worked solutions. Teacher-led videos to learn and re-learn. Instant reports make tracking progress simple. \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCombine units flexibly with the Jacaranda Supercourse\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAn Australian first, build the course you’ve always wanted with the Jacaranda Supercourse. You can combine all Methods Units 1 to 4, so students can move backwards and forwards freely. Or Methods and General Units 1 \u0026amp; 2 for when students switch courses. The possibilities are endless! \u003c\/p\u003e\u003ch3\u003eTable of Contents\u003c\/h3\u003e\u003cp\u003eAbout This Resource vii\u003c\/p\u003e \u003cp\u003eAcknowledgements xiv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Investigating data distributions 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 2\u003c\/p\u003e \u003cp\u003e1.2 Types of data 3\u003c\/p\u003e \u003cp\u003e1.3 Stem plots 8\u003c\/p\u003e \u003cp\u003e1.4 Dot plots, frequency tables, histograms, bar charts and logarithmic scales 17\u003c\/p\u003e \u003cp\u003e1.5 Describing stem plots and histograms 32\u003c\/p\u003e \u003cp\u003e1.6 Summary statistics 39\u003c\/p\u003e \u003cp\u003e1.7 The five-number summary and boxplots 49\u003c\/p\u003e \u003cp\u003e1.8 The mean of a sample 58\u003c\/p\u003e \u003cp\u003e1.9 Standard deviation of a sample 65\u003c\/p\u003e \u003cp\u003e1.10 The 68-95-99�7% rule and z-scores 73\u003c\/p\u003e \u003cp\u003e1.11 Review 84\u003c\/p\u003e \u003cp\u003eAnswers 97\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Investigating associations between two variables 109\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 110\u003c\/p\u003e \u003cp\u003e2.2 Response and explanatory variables 111\u003c\/p\u003e \u003cp\u003e2.3 Contingency (two-way) frequency tables and segmented bar charts 114\u003c\/p\u003e \u003cp\u003e2.4 Back-to-back stem plots 123\u003c\/p\u003e \u003cp\u003e2.5 Parallel boxplots and dot plots 129\u003c\/p\u003e \u003cp\u003e2.6 Scatterplots 135\u003c\/p\u003e \u003cp\u003e2.7 Estimating and interpreting Pearson’s product-moment correlation coefficient 145\u003c\/p\u003e \u003cp\u003e2.8 Calculating r and the coefficient of determination, r 2 150\u003c\/p\u003e \u003cp\u003e2.9 Cause and effect 156\u003c\/p\u003e \u003cp\u003e2.10 Review 162\u003c\/p\u003e \u003cp\u003eAnswers 170\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Investigating and modelling linear associations 181\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 182\u003c\/p\u003e \u003cp\u003e3.2 Least squares line of best fit 183\u003c\/p\u003e \u003cp\u003e3.3 Interpretation, interpolation and extrapolation 191\u003c\/p\u003e \u003cp\u003e3.4 Residual analysis 199\u003c\/p\u003e \u003cp\u003e3.5 Transforming to linearity 208\u003c\/p\u003e \u003cp\u003e3.6 Review 220\u003c\/p\u003e \u003cp\u003eAnswers 229\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Investigating and modelling time series data 237\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 238\u003c\/p\u003e \u003cp\u003e4.2 Time series plots and trends 239\u003c\/p\u003e \u003cp\u003e4.3 Fitting the least squares line and forecasting 249\u003c\/p\u003e \u003cp\u003e4.4 Smoothing using the moving mean with an odd number of points 258\u003c\/p\u003e \u003cp\u003e4.5 Smoothing using the moving mean with an even number of points 264\u003c\/p\u003e \u003cp\u003e4.6 Median smoothing from a graph 270\u003c\/p\u003e \u003cp\u003e4.7 Seasonal adjustment 276\u003c\/p\u003e \u003cp\u003e4.8 Review 289\u003c\/p\u003e \u003cp\u003eAnswers 299\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Modelling depreciation of assets using recursion 319\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 320\u003c\/p\u003e \u003cp\u003e5.2 A first-order linear recurrence relation 321\u003c\/p\u003e \u003cp\u003e5.3 Modelling flat rate depreciation with a recurrence relation 325\u003c\/p\u003e \u003cp\u003e5.4 Modelling reducing balance depreciation with a recurrence relation 331\u003c\/p\u003e \u003cp\u003e5.5 Modelling unit cost depreciation with a recurrence relation 339\u003c\/p\u003e \u003cp\u003e5.6 Review 348\u003c\/p\u003e \u003cp\u003eAnswers 353\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Modelling compound interest investments and loans using recursion 359\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 360\u003c\/p\u003e \u003cp\u003e6.2 Simple interest 361\u003c\/p\u003e \u003cp\u003e6.3 Compound interest as a geometric recurrence relation 367\u003c\/p\u003e \u003cp\u003e6.4 Compound interest using a rule 372\u003c\/p\u003e \u003cp\u003e6.5 Calculating rate or time for compound interest 378\u003c\/p\u003e \u003cp\u003e6.6 Nominal and effective annual interest rate 383\u003c\/p\u003e \u003cp\u003e6.7 Review 388\u003c\/p\u003e \u003cp\u003eAnswers 392\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Modelling reducing balance loans, annuities and perpetuities using recursion 395\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 396\u003c\/p\u003e \u003cp\u003e7.2 Modelling reducing balance loans with recurrence relations 397\u003c\/p\u003e \u003cp\u003e7.3 Solving reducing balance loan problems using finance solver 404\u003c\/p\u003e \u003cp\u003e7.4 The effect of rate and repayment changes on reducing balance loans 417\u003c\/p\u003e \u003cp\u003e7.5 Annuities and perpetuities 430\u003c\/p\u003e \u003cp\u003e7.6 Annuity investments 441\u003c\/p\u003e \u003cp\u003e7.7 Review 450\u003c\/p\u003e \u003cp\u003eAnswers 456\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Matrices 461\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 462\u003c\/p\u003e \u003cp\u003e8.2 Matrix representation 463\u003c\/p\u003e \u003cp\u003e8.3 Addition, subtraction and scalar operations with matrices 471\u003c\/p\u003e \u003cp\u003e8.4 Multiplying matrices 483\u003c\/p\u003e \u003cp\u003e8.5 The inverse of a matrix and its determinant 497\u003c\/p\u003e \u003cp\u003e8.6 Dominance and communication matrices 505\u003c\/p\u003e \u003cp\u003e8.7 Transition matrices and Leslie matrices 516\u003c\/p\u003e \u003cp\u003e8.8 Review 537\u003c\/p\u003e \u003cp\u003eAnswers 547\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Undirected graphs, networks and trees 555\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 556\u003c\/p\u003e \u003cp\u003e9.2 Basic concepts of a network 557\u003c\/p\u003e \u003cp\u003e9.3 Planar graphs and Euler’s formula 567\u003c\/p\u003e \u003cp\u003e9.4 Walks, trails, paths, cycles and circuits 576\u003c\/p\u003e \u003cp\u003e9.5 Trees and their applications 587\u003c\/p\u003e \u003cp\u003e9.6 Review 603\u003c\/p\u003e \u003cp\u003eAnswers 611\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Directed graphs and network flow 617\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 618\u003c\/p\u003e \u003cp\u003e10.2 Precedence tables and activity networks 619\u003c\/p\u003e \u003cp\u003e10.3 Critical path analysis with backward scanning and crashing 630\u003c\/p\u003e \u003cp\u003e10.4 Flow problems 647\u003c\/p\u003e \u003cp\u003e10.5 Bipartite graphs and allocation problems 659\u003c\/p\u003e \u003cp\u003e10.6 Review 672\u003c\/p\u003e \u003cp\u003eAnswers 683\u003c\/p\u003e \u003cp\u003eGlossary 691\u003c\/p\u003e \u003cp\u003eIndex 697\u003c\/p\u003e","brand":"Jacaranda","offers":[{"title":"General Mathematics","offer_id":53558767878417,"sku":"9781119876380","price":90.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0786\/7786\/8817\/files\/9781119876380.jpg?v=1778750853"},{"product_id":"jacaranda-maths-quest-12-mathematical-methods-vce-units-34-third-edition-learnon-print","title":"Jacaranda Maths Quest 12 Mathematical Methods VCE Units 3\u00264 Third Edition (learnON \u0026 Print)","description":"\u003cp\u003e\u003cb\u003eJacaranda Maths Quest 12 Mathematical Methods VCE Units 3 and 4\u003c\/b\u003e\u003cbr\u003e \u003cbr\u003e Everything your students need to succeed.\u003cbr\u003e \u003cbr\u003e The best Mathematics series for the new VCE Study Design. Developed by expert Victorian teachers for VCE students. \u003c\/p\u003e \u003cp\u003e\u003cb\u003eGet exam ready: past VCAA exam questions (all since 2013)\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eStudents can start preparing from lesson one, with past VCAA exam questions embedded in every lesson.  Practice, customisable SACs available for all Units to build student competence and confidence. \u003c\/p\u003e \u003cp\u003e\u003cb\u003eLearn online with Australia’s most powerful learning platform, learnON\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eBe confident your students can get unstuck and progress, in class or at home. For every question online they receive immediate feedback and fully worked solutions. Teacher-led videos to learn and re-learn. Instant reports make tracking progress simple. \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCombine units flexibly with the Jacaranda Supercourse\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAn Australian first, build the course you’ve always wanted with the Jacaranda Supercourse. You can combine all Methods Units 1 to 4, so students can move backwards and forwards freely. Or Methods and General Units 1 \u0026amp; 2 for when students switch courses. The possibilities are endless! \u003c\/p\u003e\u003ch3\u003eTable of Contents\u003c\/h3\u003e\u003cp\u003eAbout This Resource v\u003c\/p\u003e \u003cp\u003eAcknowledgements xii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Functions and graphs 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 2\u003c\/p\u003e \u003cp\u003e1.2 Linear functions 3\u003c\/p\u003e \u003cp\u003e1.3 Solving systems of equations 11\u003c\/p\u003e \u003cp\u003e1.4 Quadratic functions 18\u003c\/p\u003e \u003cp\u003e1.5 Cubic functions 28\u003c\/p\u003e \u003cp\u003e1.6 Higher degree polynomials 40\u003c\/p\u003e \u003cp\u003e1.7 Other algebraic functions 50\u003c\/p\u003e \u003cp\u003e1.8 Combinations of functions 66\u003c\/p\u003e \u003cp\u003e1.9 Modelling and applications 77\u003c\/p\u003e \u003cp\u003e1.10 Review 82\u003c\/p\u003e \u003cp\u003eAnswers 87\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Trigonometric (circular) functions 103\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 104\u003c\/p\u003e \u003cp\u003e2.2 Trigonometric symmetry properties 105\u003c\/p\u003e \u003cp\u003e2.3 Trigonometric equations 118\u003c\/p\u003e \u003cp\u003e2.4 General solutions of trigonometric equations 125\u003c\/p\u003e \u003cp\u003e2.5 The sine and cosine functions 130\u003c\/p\u003e \u003cp\u003e2.6 The tangent function 139\u003c\/p\u003e \u003cp\u003e2.7 Modelling and applications 148\u003c\/p\u003e \u003cp\u003e2.8 Review 154\u003c\/p\u003e \u003cp\u003eAnswers 159\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Composite functions, transformations and inverses 167\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 168\u003c\/p\u003e \u003cp\u003e3.2 Composite functions 169\u003c\/p\u003e \u003cp\u003e3.3 Transformations 174\u003c\/p\u003e \u003cp\u003e3.4 Inverse graphs 182\u003c\/p\u003e \u003cp\u003e3.5 Inverse functions 192\u003c\/p\u003e \u003cp\u003e3.6 Literal equations 201\u003c\/p\u003e \u003cp\u003e3.7 Review 206\u003c\/p\u003e \u003cp\u003eAnswers 211\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Exponential and logarithmic functions 223\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 224\u003c\/p\u003e \u003cp\u003e4.2 Logarithm laws and equations 225\u003c\/p\u003e \u003cp\u003e4.3 Logarithmic scales 234\u003c\/p\u003e \u003cp\u003e4.4 Indicial equations 238\u003c\/p\u003e \u003cp\u003e4.5 Logarithmic graphs 242\u003c\/p\u003e \u003cp\u003e4.6 Exponential graphs 250\u003c\/p\u003e \u003cp\u003e4.7 Applications 262\u003c\/p\u003e \u003cp\u003e4.8 Review 270\u003c\/p\u003e \u003cp\u003eAnswers 276\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Differentiation 287\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 288\u003c\/p\u003e \u003cp\u003e5.2 Review of differentiation 289\u003c\/p\u003e \u003cp\u003e5.3 Differentiation of exponential functions 304\u003c\/p\u003e \u003cp\u003e5.4 Applications of exponential functions 310\u003c\/p\u003e \u003cp\u003e5.5 Differentiation of trigonometric functions 316\u003c\/p\u003e \u003cp\u003e5.6 Applications of trigonometric functions 322\u003c\/p\u003e \u003cp\u003e5.7 Differentiation and application of logarithmic functions 330\u003c\/p\u003e \u003cp\u003e5.8 Review 338\u003c\/p\u003e \u003cp\u003eAnswers 345\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Further differentiation and applications 353\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 354\u003c\/p\u003e \u003cp\u003e6.2 The chain rule 355\u003c\/p\u003e \u003cp\u003e6.3 The product rule 363\u003c\/p\u003e \u003cp\u003e6.4 The quotient rule 370\u003c\/p\u003e \u003cp\u003e6.5 Curve sketching 375\u003c\/p\u003e \u003cp\u003e6.6 Maximum and minimum problems 387\u003c\/p\u003e \u003cp\u003e6.7 Rates of change 394\u003c\/p\u003e \u003cp\u003e6.8 Newton’s method 403\u003c\/p\u003e \u003cp\u003e6.9 Review 408\u003c\/p\u003e \u003cp\u003eAnswers 415\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Anti-differentiation 425\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 426\u003c\/p\u003e \u003cp\u003e7.2 Anti-differentiation 427\u003c\/p\u003e \u003cp\u003e7.3 Anti-derivatives of exponential and trigonometric functions 435\u003c\/p\u003e \u003cp\u003e7.4 The anti-derivative of f(x) = 1 \/x 440\u003c\/p\u003e \u003cp\u003e7.5 Families of curves 444\u003c\/p\u003e \u003cp\u003e7.6 Applications 452\u003c\/p\u003e \u003cp\u003e7.7 Review 458\u003c\/p\u003e \u003cp\u003eAnswers 464\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Integral calculus 471\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 472\u003c\/p\u003e \u003cp\u003e8.2 The fundamental theorem of integral calculus 473\u003c\/p\u003e \u003cp\u003e8.3 Areas under curves 484\u003c\/p\u003e \u003cp\u003e8.4 Areas between curves and average values 497\u003c\/p\u003e \u003cp\u003e8.5 Applications 507\u003c\/p\u003e \u003cp\u003e8.6 Review 522\u003c\/p\u003e \u003cp\u003eAnswers 529\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Discrete random variables 535\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 536\u003c\/p\u003e \u003cp\u003e9.2 Probability review 537\u003c\/p\u003e \u003cp\u003e9.3 Discrete random variables 544\u003c\/p\u003e \u003cp\u003e9.4 Measures of centre and spread 554\u003c\/p\u003e \u003cp\u003e9.5 Applications 565\u003c\/p\u003e \u003cp\u003e9.6 Review 572\u003c\/p\u003e \u003cp\u003eAnswers 577\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 The binomial distribution 583\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 584\u003c\/p\u003e \u003cp\u003e10.2 Bernoulli trials 585\u003c\/p\u003e \u003cp\u003e10.3 The binomial distribution 590\u003c\/p\u003e \u003cp\u003e10.4 Applications 604\u003c\/p\u003e \u003cp\u003e10.5 Review 608\u003c\/p\u003e \u003cp\u003eAnswers 614\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Continuous probability distributions 617\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 618\u003c\/p\u003e \u003cp\u003e11.2 Continuous random variables and probability functions 619\u003c\/p\u003e \u003cp\u003e11.3 The continuous probability density function 631\u003c\/p\u003e \u003cp\u003e11.4 Measures of centre and spread 638\u003c\/p\u003e \u003cp\u003e11.5 Linear transformations 651\u003c\/p\u003e \u003cp\u003e11.6 Review 657\u003c\/p\u003e \u003cp\u003eAnswers 664\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 The normal distribution 671\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Overview 672\u003c\/p\u003e \u003cp\u003e12.2 The normal distribution 673\u003c\/p\u003e \u003cp\u003e12.3 Calculating probabilities and the standard normal distribution 681\u003c\/p\u003e \u003cp\u003e12.4 The inverse normal distribution 688\u003c\/p\u003e \u003cp\u003e12.5 Mixed probability applications 693\u003c\/p\u003e \u003cp\u003e12.6 Review 702\u003c\/p\u003e \u003cp\u003eAnswers 709\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Statistical inference 713\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Overview 714\u003c\/p\u003e \u003cp\u003e13.2 Population parameters and sample statistics 715\u003c\/p\u003e \u003cp\u003e13.3 The distribution of the sample proportion 721\u003c\/p\u003e \u003cp\u003e13.4 Confidence intervals 729\u003c\/p\u003e \u003cp\u003e13.5 Review 736\u003c\/p\u003e \u003cp\u003eAnswers 744\u003c\/p\u003e \u003cp\u003eAlgorithms and Pseudocode\u003c\/p\u003e \u003cp\u003eGlossary 747\u003c\/p\u003e \u003cp\u003eIndex 751\u003c\/p\u003e","brand":"Jacaranda","offers":[{"title":"Mathematical Methods","offer_id":53558767943953,"sku":"9781119876564","price":90.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0786\/7786\/8817\/files\/9781119876564.jpg?v=1778750855"},{"product_id":"jacaranda-maths-quest-11-specialist-mathematics-vce-units-12-second-edition-learnon-print","title":"Jacaranda Maths Quest 11 Specialist Mathematics VCE Units 1\u00262 Second Edition (learnON \u0026 Print)","description":"\u003cp\u003e\u003cb\u003eJacaranda Maths Quest 11 Specialist Mathematics VCE Units 1 and 2\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eEverything your students need to succeed.\u003c\/p\u003e \u003cp\u003eThe best Mathematics series for the new VCE Study Design. Developed by expert Victorian teachers for VCE students.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eGet exam ready: past VCAA exam questions (all since 2013)\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eStudents can start preparing from lesson one, with past VCAA exam questions embedded in every lesson. Practice, customisable SACs available for all Units to build student competence and confidence.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eLearn online with Australia's most powerful learning platform, learnON\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eBe confident your students can get unstuck and progress, in class or at home. For every question online they receive immediate feedback and fully worked solutions. Teacher-led videos to learn and re-learn. Instant reports make tracking progress simple.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCombine units flexibly with the Jacaranda Supercourse\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAn Australian first, build the course you've always wanted with the Jacaranda Supercourse. You can combine all Methods Units 1 to 4, so students can move backwards and forwards freely. Or Methods and General Units 1 \u0026amp; 2 for when students switch courses. The possibilities are endless!\u003c\/p\u003e\u003ch3\u003eTable of Contents\u003c\/h3\u003e\u003cp\u003eAbout This Resource vii\u003c\/p\u003e \u003cp\u003eAcknowledgements xiv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Combinatorics 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 2\u003c\/p\u003e \u003cp\u003e1.2 Counting techniques 3\u003c\/p\u003e \u003cp\u003e1.3 Factorials and permutations 15\u003c\/p\u003e \u003cp\u003e1.4 Permutations with restrictions 23\u003c\/p\u003e \u003cp\u003e1.5 Combinations 31\u003c\/p\u003e \u003cp\u003e1.6 Applications of permutations and combinations 40\u003c\/p\u003e \u003cp\u003e1.7 Pascal’s triangle and the pigeon-hole principle 47\u003c\/p\u003e \u003cp\u003e1.8 Review 55\u003c\/p\u003e \u003cp\u003eAnswers 58\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Sequences and series 63\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 64\u003c\/p\u003e \u003cp\u003e2.2 Describing sequences 65\u003c\/p\u003e \u003cp\u003e2.3 Arithmetic sequences 69\u003c\/p\u003e \u003cp\u003e2.4 Arithmetic series 75\u003c\/p\u003e \u003cp\u003e2.5 Geometric sequences 78\u003c\/p\u003e \u003cp\u003e2.6 Geometric series 86\u003c\/p\u003e \u003cp\u003e2.7 Applications of sequences and series 92\u003c\/p\u003e \u003cp\u003e2.8 Review 101\u003c\/p\u003e \u003cp\u003eAnswers 105\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Logic and algorithms 111\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 112\u003c\/p\u003e \u003cp\u003e3.2 Statements (propositions), connectives and truth tables 113\u003c\/p\u003e \u003cp\u003e3.3 Valid and invalid arguments 120\u003c\/p\u003e \u003cp\u003e3.4 Boolean algebra and digital logic 131\u003c\/p\u003e \u003cp\u003e3.5 Sets and Boolean algebra 139\u003c\/p\u003e \u003cp\u003e3.6 Algorithms and pseudocode 149\u003c\/p\u003e \u003cp\u003e3.7 Review 166\u003c\/p\u003e \u003cp\u003eAnswers 170\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Proof and number 189\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 190\u003c\/p\u003e \u003cp\u003e4.2 Number systems and mathematical statements 191\u003c\/p\u003e \u003cp\u003e4.3 Direct and indirect methods of proof 206\u003c\/p\u003e \u003cp\u003e4.4 Proofs with rational and irrational numbers 212\u003c\/p\u003e \u003cp\u003e4.5 Proof by mathematical induction 218\u003c\/p\u003e \u003cp\u003e4.6 Proof of divisibility using induction 223\u003c\/p\u003e \u003cp\u003e4.7 Review 227\u003c\/p\u003e \u003cp\u003eAnswers 230\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Matrices 233\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 234\u003c\/p\u003e \u003cp\u003e5.2 Addition, subtraction and scalar multiplication of matrices 235\u003c\/p\u003e \u003cp\u003e5.3 Matrix multiplication 243\u003c\/p\u003e \u003cp\u003e5.4 Determinants and inverses 251\u003c\/p\u003e \u003cp\u003e5.5 Matrix equations 260\u003c\/p\u003e \u003cp\u003e5.6 Review 271\u003c\/p\u003e \u003cp\u003eAnswers 275\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Graph theory 279\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 280\u003c\/p\u003e \u003cp\u003e6.2 Introduction to graph theory 281\u003c\/p\u003e \u003cp\u003e6.3 Planar graphs and Euler’s formula 300\u003c\/p\u003e \u003cp\u003e6.4 Eulerian and Hamiltonian graphs 311\u003c\/p\u003e \u003cp\u003e6.5 Weighted graphs and trees 321\u003c\/p\u003e \u003cp\u003e6.6 Bipartite graphs and the Hungarian algorithm 331\u003c\/p\u003e \u003cp\u003e6.7 Review 343\u003c\/p\u003e \u003cp\u003eAnswers 353\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Trigonometric ratios and applications 367\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 368\u003c\/p\u003e \u003cp\u003e7.2 Review of trigonometry 369\u003c\/p\u003e \u003cp\u003e7.3 The sine rule 379\u003c\/p\u003e \u003cp\u003e7.4 The cosine rule 385\u003c\/p\u003e \u003cp\u003e7.5 Arc length, sectors and segments 390\u003c\/p\u003e \u003cp\u003e7.6 Review 398\u003c\/p\u003e \u003cp\u003eAnswers 402\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Trigonometric identities 405\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 406\u003c\/p\u003e \u003cp\u003e8.2 Pythagorean identities 407\u003c\/p\u003e \u003cp\u003e8.3 Compound angle formulas 416\u003c\/p\u003e \u003cp\u003e8.4 Double and half angle formulas 426\u003c\/p\u003e \u003cp\u003e8.5 Converting a cos(x) + b sin(x) to r cos(x ± α) or r sin(x ± α) 435\u003c\/p\u003e \u003cp\u003e8.6 Review 441\u003c\/p\u003e \u003cp\u003eAnswers 444\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Vectors in the plane 449\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 450\u003c\/p\u003e \u003cp\u003e9.2 Vectors and scalars 451\u003c\/p\u003e \u003cp\u003e9.3 Position vectors in the plane 459\u003c\/p\u003e \u003cp\u003e9.4 Scalar multiplication of vectors 470\u003c\/p\u003e \u003cp\u003e9.5 The scalar (dot) product 475\u003c\/p\u003e \u003cp\u003e9.6 Projections of vectors - scalar and vector resolutes 483\u003c\/p\u003e \u003cp\u003e9.7 Review 489\u003c\/p\u003e \u003cp\u003eAnswers 492\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Complex numbers 497\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 498\u003c\/p\u003e \u003cp\u003e10.2 Introduction to complex numbers 499\u003c\/p\u003e \u003cp\u003e10.3 Basic operations on complex numbers 504\u003c\/p\u003e \u003cp\u003e10.4 Complex conjugates and division of complex numbers 510\u003c\/p\u003e \u003cp\u003e10.5 The complex plane (the Argand plane) 517\u003c\/p\u003e \u003cp\u003e10.6 Complex numbers in polar form 524\u003c\/p\u003e \u003cp\u003e10.7 Basic operations on complex numbers in polar form 536\u003c\/p\u003e \u003cp\u003e10.8 Solving quadratic equations with complex roots 546\u003c\/p\u003e \u003cp\u003e10.9 Lines, rays, circles, ellipses and regions in the complex plane 550\u003c\/p\u003e \u003cp\u003e10.10 Review 562\u003c\/p\u003e \u003cp\u003eAnswers 565\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Transformations 577\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 578\u003c\/p\u003e \u003cp\u003e11.2 Translations 579\u003c\/p\u003e \u003cp\u003e11.3 Reflections and rotations 588\u003c\/p\u003e \u003cp\u003e11.4 Dilations 603\u003c\/p\u003e \u003cp\u003e11.5 Combinations of transformations 610\u003c\/p\u003e \u003cp\u003e11.6 Review 619\u003c\/p\u003e \u003cp\u003eAnswers 623\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Functions, relations and graphs 627\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Overview 628\u003c\/p\u003e \u003cp\u003e12.2 The absolute value function 629\u003c\/p\u003e \u003cp\u003e12.3 Partial fractions 636\u003c\/p\u003e \u003cp\u003e12.4 Reciprocal graphs 645\u003c\/p\u003e \u003cp\u003e12.5 The reciprocal trigonometric functions 654\u003c\/p\u003e \u003cp\u003e12.6 Inverse trigonometric functions 669\u003c\/p\u003e \u003cp\u003e12.7 Circles and ellipses 683\u003c\/p\u003e \u003cp\u003e12.8 Hyperbolas 695\u003c\/p\u003e \u003cp\u003e12.9 Polar coordinates, equations and graphs 703\u003c\/p\u003e \u003cp\u003e12.10 Parametric equations 712\u003c\/p\u003e \u003cp\u003e12.11 Review 717\u003c\/p\u003e \u003cp\u003eAnswers 721\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Simulation, sampling and sampling distributions 745\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Overview 746\u003c\/p\u003e \u003cp\u003e13.2 Random experiments, events and event spaces 747\u003c\/p\u003e \u003cp\u003e13.3 Simulation 750\u003c\/p\u003e \u003cp\u003e13.4 Discrete random variables 757\u003c\/p\u003e \u003cp\u003e13.5 Sampling 768\u003c\/p\u003e \u003cp\u003e13.6 Sampling distribution of sample means 774\u003c\/p\u003e \u003cp\u003e13.7 Review 786\u003c\/p\u003e \u003cp\u003eAnswers 791\u003c\/p\u003e \u003cp\u003eGlossary 795\u003c\/p\u003e \u003cp\u003eIndex 803\u003c\/p\u003e","brand":"Jacaranda","offers":[{"title":"Specialist Mathematics","offer_id":53558767976721,"sku":"9781119876656","price":90.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0786\/7786\/8817\/files\/9781119876656.jpg?v=1778750859"},{"product_id":"jacaranda-maths-quest-12-specialist-mathematics-vce-units-34-second-edition-learnon-print","title":"Jacaranda Maths Quest 12 Specialist Mathematics VCE Units 3\u00264 Second Edition (learnON \u0026 Print)","description":"\u003cp\u003e\u003cb\u003eJacaranda Maths Quest 12 Specialist Mathematics VCE Units 3 and 4\u003c\/b\u003e\u003cbr\u003e \u003cbr\u003e Everything your students need to succeed.\u003cbr\u003e \u003cbr\u003e The best Mathematics series for the new VCE Study Design. Developed by expert Victorian teachers for VCE students. \u003c\/p\u003e \u003cp\u003e\u003cb\u003eGet exam ready: past VCAA exam questions (all since 2013)\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eStudents can start preparing from lesson one, with past VCAA exam questions embedded in every lesson.  Practice, customisable SACs available for all Units to build student competence and confidence. \u003c\/p\u003e \u003cp\u003e\u003cb\u003eLearn online with Australia’s most powerful learning platform, learnON\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eBe confident your students can get unstuck and progress, in class or at home. For every question online they receive immediate feedback and fully worked solutions. Teacher-led videos to learn and re-learn. Instant reports make tracking progress simple. \u003c\/p\u003e \u003cp\u003e\u003cb\u003eCombine units flexibly with the Jacaranda Supercourse\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAn Australian first, build the course you’ve always wanted with the Jacaranda Supercourse. You can combine all Methods Units 1 to 4, so students can move backwards and forwards freely. Or Methods and General Units 1 \u0026amp; 2 for when students switch courses. The possibilities are endless! \u003c\/p\u003e\u003ch3\u003eTable of Contents\u003c\/h3\u003e\u003cp\u003eAbout This Resource vii\u003c\/p\u003e \u003cp\u003eAcknowledgements xiv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Logic and proof 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 2\u003c\/p\u003e \u003cp\u003e1.2 Logic 3\u003c\/p\u003e \u003cp\u003e1.3 Direct proofs 13\u003c\/p\u003e \u003cp\u003e1.4 Indirect proofs 20\u003c\/p\u003e \u003cp\u003e1.5 Proof by mathematical induction 27\u003c\/p\u003e \u003cp\u003e1.6 Review 40\u003c\/p\u003e \u003cp\u003eAnswers 43\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Complex numbers 45\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 46\u003c\/p\u003e \u003cp\u003e2.2 Complex numbers in Cartesian form 47\u003c\/p\u003e \u003cp\u003e2.3 Complex numbers in polar form 59\u003c\/p\u003e \u003cp\u003e2.4 Solving polynomial equations over C 75\u003c\/p\u003e \u003cp\u003e2.5 Subsets of the complex plane 84\u003c\/p\u003e \u003cp\u003e2.6 Roots of complex numbers 96\u003c\/p\u003e \u003cp\u003e2.7 Review 105\u003c\/p\u003e \u003cp\u003eAnswers 112\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Vectors 125\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 126\u003c\/p\u003e \u003cp\u003e3.2 Vectors in two dimensions 127\u003c\/p\u003e \u003cp\u003e3.3 Vectors in three dimensions 135\u003c\/p\u003e \u003cp\u003e3.4 Scalar product and applications 149\u003c\/p\u003e \u003cp\u003e3.5 Vector proofs using the scalar product 161\u003c\/p\u003e \u003cp\u003e3.6 Parametric equations 165\u003c\/p\u003e \u003cp\u003e3.7 Review 172\u003c\/p\u003e \u003cp\u003eAnswers 176\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Vector equations of lines and planes 185\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 186\u003c\/p\u003e \u003cp\u003e4.2 Vector cross product 187\u003c\/p\u003e \u003cp\u003e4.3 Lines in three dimensions 195\u003c\/p\u003e \u003cp\u003e4.4 Planes 207\u003c\/p\u003e \u003cp\u003e4.5 Review 222\u003c\/p\u003e \u003cp\u003eAnswers 227\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Differential calculus 231\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 232\u003c\/p\u003e \u003cp\u003e5.2 Review of differentiation techniques 233\u003c\/p\u003e \u003cp\u003e5.3 Applications of differentiation 245\u003c\/p\u003e \u003cp\u003e5.4 Implicit and parametric differentiation 256\u003c\/p\u003e \u003cp\u003e5.5 Second derivatives 265\u003c\/p\u003e \u003cp\u003e5.6 Derivatives of inverse trigonometric functions 274\u003c\/p\u003e \u003cp\u003e5.7 Related rates 282\u003c\/p\u003e \u003cp\u003e5.8 Review 292\u003c\/p\u003e \u003cp\u003eAnswers 297\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Functions and graphs 303\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 304\u003c\/p\u003e \u003cp\u003e6.2 Sketching graphs of cubics and quartics 305\u003c\/p\u003e \u003cp\u003e6.3 Sketching graphs of rational functions 314\u003c\/p\u003e \u003cp\u003e6.4 Sketching graphs of product and quotient functions 328\u003c\/p\u003e \u003cp\u003e6.5 Review 342\u003c\/p\u003e \u003cp\u003eAnswers 348\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Integral calculus 363\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 364\u003c\/p\u003e \u003cp\u003e7.2 Areas under and between curves 365\u003c\/p\u003e \u003cp\u003e7.3 Linear substitutions 378\u003c\/p\u003e \u003cp\u003e7.4 Non-linear substitutions 390\u003c\/p\u003e \u003cp\u003e7.5 Integrals of powers of trigonometric functions 400\u003c\/p\u003e \u003cp\u003e7.6 Integrals involving inverse trigonometric functions 408\u003c\/p\u003e \u003cp\u003e7.7 Integrals involving partial fractions 421\u003c\/p\u003e \u003cp\u003e7.8 Review 432\u003c\/p\u003e \u003cp\u003eAnswers 437\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Differential equations 447\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 448\u003c\/p\u003e \u003cp\u003e8.2 Verifying solutions to differential equations 449\u003c\/p\u003e \u003cp\u003e8.3 Solving Type 1 differential equations,\u003cbr\u003e dy\/dx = f(x) 455\u003c\/p\u003e \u003cp\u003e8.4 Solving Type 2 differential equations,\u003cbr\u003e dy\/dx = f(y) 465\u003c\/p\u003e \u003cp\u003e8.5 Solving Type 3 differential equations,\u003cbr\u003e dy\/dx = f(x) g(y) 473\u003c\/p\u003e \u003cp\u003e8.6 Solving Type 4 differential equations,\u003cbr\u003e d\u003csup\u003e2\u003c\/sup\u003ey\/dx\u003csup\u003e2\u003c\/sup\u003e = f(x) 479\u003c\/p\u003e \u003cp\u003e8.7 Review 488\u003c\/p\u003e \u003cp\u003eAnswers 491\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Further integration techniques and applications 495\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 496\u003c\/p\u003e \u003cp\u003e9.2 Integration by parts 497\u003c\/p\u003e \u003cp\u003e9.3 Integration by recognition and graphs of anti-derivatives 509\u003c\/p\u003e \u003cp\u003e9.4 Solids of revolution 516\u003c\/p\u003e \u003cp\u003e9.5 Volumes 526\u003c\/p\u003e \u003cp\u003e9.6 Arc length and surface area 538\u003c\/p\u003e \u003cp\u003e9.7 Water flow 547\u003c\/p\u003e \u003cp\u003e9.8 Review 558\u003c\/p\u003e \u003cp\u003eAnswers 563\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Applications of first-order differential equations 569\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 570\u003c\/p\u003e \u003cp\u003e10.2 Growth and decay 571\u003c\/p\u003e \u003cp\u003e10.3 Other applications of first-order differential equations 579\u003c\/p\u003e \u003cp\u003e10.4 Bounded growth and Newton’s law of cooling 586\u003c\/p\u003e \u003cp\u003e10.5 Chemical reactions and dilution problems 593\u003c\/p\u003e \u003cp\u003e10.6 The logistic equation 605\u003c\/p\u003e \u003cp\u003e10.7 Euler’s method 616\u003c\/p\u003e \u003cp\u003e10.8 Slope fields 626\u003c\/p\u003e \u003cp\u003e10.9 Review 640\u003c\/p\u003e \u003cp\u003eAnswers 646\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Kinematics: rectilinear motion 655\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 656\u003c\/p\u003e \u003cp\u003e11.2 Differentiating position and velocity 657\u003c\/p\u003e \u003cp\u003e11.3 Constant acceleration 663\u003c\/p\u003e \u003cp\u003e11.4 Velocity-time graphs 671\u003c\/p\u003e \u003cp\u003e11.5 Acceleration that depends on time 684\u003c\/p\u003e \u003cp\u003e11.6 Acceleration that depends on velocity 690\u003c\/p\u003e \u003cp\u003e11.7 Acceleration that depends on position 703\u003c\/p\u003e \u003cp\u003e11.8 Review 710\u003c\/p\u003e \u003cp\u003eAnswers 715\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Vector calculus 721\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Overview 722\u003c\/p\u003e \u003cp\u003e12.2 Position vectors as functions of time 723\u003c\/p\u003e \u003cp\u003e12.3 Differentiation of vectors 729\u003c\/p\u003e \u003cp\u003e12.4 Special parametric curves 741\u003c\/p\u003e \u003cp\u003e12.5 Integration of vectors 756\u003c\/p\u003e \u003cp\u003e12.6 Projectile motion 762\u003c\/p\u003e \u003cp\u003e12.7 Review 778\u003c\/p\u003e \u003cp\u003eAnswers 786\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Probability and statistics 795\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Overview 796\u003c\/p\u003e \u003cp\u003e13.2 Linear combinations of random variables 797\u003c\/p\u003e \u003cp\u003e13.3 Sample means and simulations 810\u003c\/p\u003e \u003cp\u003e13.4 Confidence intervals 821\u003c\/p\u003e \u003cp\u003e13.5 Hypothesis testing 830\u003c\/p\u003e \u003cp\u003e13.6 Review 844\u003c\/p\u003e \u003cp\u003eAnswers 850\u003c\/p\u003e \u003cp\u003eGlossary 853\u003c\/p\u003e \u003cp\u003eIndex 855\u003c\/p\u003e","brand":"Jacaranda","offers":[{"title":"Specialist Mathematics","offer_id":53558768009489,"sku":"9781119876748","price":90.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0786\/7786\/8817\/files\/9781119876748.jpg?v=1778750860"}],"url":"https:\/\/www.teachersuperstore.com.au\/collections\/maths-quest-vce.oembed","provider":"Teacher Superstore","version":"1.0","type":"link"}