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\u003cp\u003e2.6 Introduction to fractional indices (Path) 90\u003c\/p\u003e \u003cp\u003e2.7 Review 95\u003c\/p\u003e \u003cp\u003eAnswers 101\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Numbers of any magnitude 107\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 108\u003c\/p\u003e \u003cp\u003e3.2 Very small and very large measurements 110\u003c\/p\u003e \u003cp\u003e3.3 Absolute and percentage error 119\u003c\/p\u003e \u003cp\u003e3.4 Estimating and rounding numbers to a specified degree of accuracy 126\u003c\/p\u003e \u003cp\u003e3.5 Scientific notation 132\u003c\/p\u003e \u003cp\u003e3.6 Review 139\u003c\/p\u003e \u003cp\u003eAnswers 146\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Algebraic techniques 151\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 152\u003c\/p\u003e \u003cp\u003e4.2 Simplifying algebraic expressions 154\u003c\/p\u003e \u003cp\u003e4.3 Simplifying algebraic fractions 160\u003c\/p\u003e \u003cp\u003e4.4 Expanding algebraic expressions and collecting like terms 166\u003c\/p\u003e \u003cp\u003e4.5 Expanding binomial products 171\u003c\/p\u003e \u003cp\u003e4.6 Difference of two squares and perfect squares (Path) 175\u003c\/p\u003e \u003cp\u003e4.7 Further expansions (Path) 180\u003c\/p\u003e \u003cp\u003e4.8 The highest common factor 183\u003c\/p\u003e \u003cp\u003e4.9 The highest common binomial factor (Path) 188\u003c\/p\u003e \u003cp\u003e4.10 Factorising monic quadratic expressions (Path) 192\u003c\/p\u003e \u003cp\u003e4.11 Review 197\u003c\/p\u003e \u003cp\u003eAnswers 202\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Linear equations 209\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 210\u003c\/p\u003e \u003cp\u003e5.2 Solving linear equations 212\u003c\/p\u003e \u003cp\u003e5.3 Solving linear equations with brackets 220\u003c\/p\u003e \u003cp\u003e5.4 Solving linear equations with pronumerals on both sides 223\u003c\/p\u003e \u003cp\u003e5.5 Solving worded problems and substituting into formulas 227\u003c\/p\u003e \u003cp\u003e5.6 Review 235\u003c\/p\u003e \u003cp\u003eAnswers 241\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Quadratic equations (Path) 245\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 246\u003c\/p\u003e \u003cp\u003e6.2 Quadratic equations and cubic equations of the form ax\u003csup\u003e3\u003c\/sup\u003e = k 248\u003c\/p\u003e \u003cp\u003e6.3 The Null Factor Law 254\u003c\/p\u003e \u003cp\u003e6.4 Solving quadratic equations with two terms 257\u003c\/p\u003e \u003cp\u003e6.5 Solving monic quadratic equations 261\u003c\/p\u003e \u003cp\u003e6.6 Applications of quadratic equations 265\u003c\/p\u003e \u003cp\u003e6.7 Review 269\u003c\/p\u003e \u003cp\u003eAnswers 273\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Linear relationships 277\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 278\u003c\/p\u003e \u003cp\u003e7.2 Plotting linear graphs 281\u003c\/p\u003e \u003cp\u003e7.3 Features of linear graphs 286\u003c\/p\u003e \u003cp\u003e7.4 The equation of a straight line, y = mx + c 295\u003c\/p\u003e \u003cp\u003e7.5 Sketching linear graphs 303\u003c\/p\u003e \u003cp\u003e7.6 Technology and linear graphs 311\u003c\/p\u003e \u003cp\u003e7.7 Practical applications of linear graphs 315\u003c\/p\u003e \u003cp\u003e7.8 Midpoint of a line segment and distance between two points 320\u003c\/p\u003e \u003cp\u003e7.9 Review 327\u003c\/p\u003e \u003cp\u003eAnswers 334\u003c\/p\u003e \u003cp\u003e\u003cb\u003eSemester review 1 348\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Non-linear relationships 351\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 352\u003c\/p\u003e \u003cp\u003e8.2 Quadratic relationships and graphs 354\u003c\/p\u003e \u003cp\u003e8.3 Quadratic equations of the form y = kx\u003csup\u003e2\u003c\/sup\u003e 364\u003c\/p\u003e \u003cp\u003e8.4 Quadratic equations of the form y = kx\u003csup\u003e2\u003c\/sup\u003e + c 369\u003c\/p\u003e \u003cp\u003e8.5 Exponential relationships and graphs 375\u003c\/p\u003e \u003cp\u003e8.6 Applications of linear and non-linear relationships 380\u003c\/p\u003e \u003cp\u003e8.7 Review 387\u003c\/p\u003e \u003cp\u003eAnswers 394\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Variation and rates of change (Path) 409\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 410\u003c\/p\u003e \u003cp\u003e9.2 Direct linear proportion 412\u003c\/p\u003e \u003cp\u003e9.3 Direct proportion and ratio 417\u003c\/p\u003e \u003cp\u003e9.4 Inverse proportion 422\u003c\/p\u003e \u003cp\u003e9.5 Introduction to rates 427\u003c\/p\u003e \u003cp\u003e9.6 Constant and variable rates 430\u003c\/p\u003e \u003cp\u003e9.7 Review 441\u003c\/p\u003e \u003cp\u003eAnswers 449\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Trigonometry 455\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 456\u003c\/p\u003e \u003cp\u003e10.2 Trigonometric ratios and right-angled triangles 460\u003c\/p\u003e \u003cp\u003e10.3 Calculating unknown side lengths 468\u003c\/p\u003e \u003cp\u003e10.4 Calculating unknown angles 476\u003c\/p\u003e \u003cp\u003e10.5 Angles of elevation and depression 483\u003c\/p\u003e \u003cp\u003e10.6 Review 489\u003c\/p\u003e \u003cp\u003eAnswers 495\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Measurement 499\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 500\u003c\/p\u003e \u003cp\u003e11.2 Length and perimeter 504\u003c\/p\u003e \u003cp\u003e11.3 Area 511\u003c\/p\u003e \u003cp\u003e11.4 Area and perimeter of a sector 521\u003c\/p\u003e \u003cp\u003e11.5 Surface area of rectangular and triangular prisms 528\u003c\/p\u003e \u003cp\u003e11.6 Surface area of a cylinder 539\u003c\/p\u003e \u003cp\u003e11.7 Volume of prisms and cylinders 543\u003c\/p\u003e \u003cp\u003e11.8 Review 555\u003c\/p\u003e \u003cp\u003eAnswers 564\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Properties of geometrical figures 569\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Overview 570\u003c\/p\u003e \u003cp\u003e12.2 Ratio and scale 573\u003c\/p\u003e \u003cp\u003e12.3 Similar figures 586\u003c\/p\u003e \u003cp\u003e12.4 Area and volume of similar figures (Path) 596\u003c\/p\u003e \u003cp\u003e12.5 Review 605\u003c\/p\u003e \u003cp\u003eAnswers 612\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Data analysis 615\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Overview 616\u003c\/p\u003e \u003cp\u003e13.2 Measures of central tendency 620\u003c\/p\u003e \u003cp\u003e13.3 Measures of spread: Range and interquartile range 633\u003c\/p\u003e \u003cp\u003e13.4 Measures of spread: Standard deviation 640\u003c\/p\u003e \u003cp\u003e13.5 Box plots 647\u003c\/p\u003e \u003cp\u003e13.6 Describing and comparing data sets 655\u003c\/p\u003e \u003cp\u003e13.7 Review 666\u003c\/p\u003e \u003cp\u003eAnswers 676\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Probability 685\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Overview 686\u003c\/p\u003e \u003cp\u003e14.2 Theoretical probability 691\u003c\/p\u003e \u003cp\u003e14.3 Observed probability and simulations 698\u003c\/p\u003e \u003cp\u003e14.4 Tree diagrams and two-step experiments 707\u003c\/p\u003e \u003cp\u003e14.5 Exploring Venn diagrams and 2-way tables (Path) 718\u003c\/p\u003e \u003cp\u003e14.6 Venn diagrams and 2-way tables using set notation (Path) 732\u003c\/p\u003e \u003cp\u003e14.7 Mutually and non-mutually exclusive events (Path) 748\u003c\/p\u003e \u003cp\u003e14.8 Review 758\u003c\/p\u003e \u003cp\u003eAnswers 764\u003c\/p\u003e \u003cp\u003eSemester review 2 774\u003c\/p\u003e \u003cp\u003eGlossary 776\u003c\/p\u003e \u003cp\u003eIndex 782\u003c\/p\u003e","brand":"Jacaranda","offers":[{"title":"Default Title","offer_id":53558726852881,"sku":"9780730386278","price":75.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0786\/7786\/8817\/files\/9780730386278.jpg?v=1778750121"},{"product_id":"jacaranda-maths-quest-10-stage-5-nsw-syllabus-third-edition-learnon-print","title":"Jacaranda Maths Quest 10 Stage 5 NSW Syllabus Third Edition (learnON \u0026 Print)","description":"\u003cp\u003e\u003cb\u003eJacaranda Maths Quest 10 Stage 5 NSW Syllabus (for the NSW Syllabus)\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eNSW's most supportive Maths resource\u003c\/p\u003e \u003cp\u003eDeveloped by expert teachers, every lesson is carefully designed to support learning online, offline, in class, and at home.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eSupporting students\u003c\/b\u003e\u003cbr\u003eWhether students need a challenge or a helping hand, they have the tools to help them take the next step, in class and at home:\u003c\/p\u003e \u003cul\u003e \u003cli\u003econcepts brought to life with rich multi-media\u003c\/li\u003e \u003cli\u003eeasy navigation\u003c\/li\u003e \u003cli\u003edifferentiated pathways\u003c\/li\u003e \u003cli\u003eimmediate corrective feedback\u003c\/li\u003e \u003cli\u003eWorked solutions for every question\u003c\/li\u003e \u003cli\u003epersonalised pathways that also allow for social learning\u003c\/li\u003e \u003cli\u003eopportunities for remediation, extension, acceleration\u003c\/li\u003e \u003cli\u003etracking progress and growth\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eSupporting teachers\u003c\/b\u003e\u003cbr\u003eTeachers are empowered to teach their class, their way with flexible resources perfect for teaching and learning:\u003c\/p\u003e \u003cul\u003e \u003cli\u003e100's of ready-made and customisable lessons\u003c\/li\u003e \u003cli\u003ecomprehensive Syllabus coverage and planning documentation\u003c\/li\u003e \u003cli\u003ea variety of learning activities\u003c\/li\u003e \u003cli\u003eassessment for, as and of learning\u003c\/li\u003e \u003cli\u003emarking, tracking, monitoring and reporting capabilities\u003c\/li\u003e \u003cli\u003eability to add own materials\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eSupporting schools\u003c\/b\u003e\u003cbr\u003eSchools are set up for success with our unmatched customer service, training and solutions tailored to you:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eLearning Management System (LMS) integration\u003c\/li\u003e \u003cli\u003eonline class set up\u003c\/li\u003e \u003cli\u003ededicated customer specialists\u003c\/li\u003e \u003cli\u003etools to manage classes\u003c\/li\u003e \u003cli\u003ebookseller app integration\u003c\/li\u003e \u003cli\u003ecomplimentary resources for teachers\u003c\/li\u003e \u003cli\u003etraining and professional learning\u003c\/li\u003e \u003cli\u003ecurriculum planning\u003c\/li\u003e \u003cli\u003edata insights\u003c\/li\u003e \u003cli\u003eflexible subscription services at unbeatable prices\u003c\/li\u003e \u003c\/ul\u003e\u003ch3\u003eTable of Contents\u003c\/h3\u003e\u003cp\u003eAbout this resource ix\u003c\/p\u003e \u003cp\u003eAcknowledgements xvi\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Financial Mathematics 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 2\u003c\/p\u003e \u003cp\u003e1.2 Simple interest 4\u003c\/p\u003e \u003cp\u003e1.3 Buying on terms 8\u003c\/p\u003e \u003cp\u003e1.4 Compound interest 13\u003c\/p\u003e \u003cp\u003e1.5 Depreciation 21\u003c\/p\u003e \u003cp\u003e1.6 Review 25\u003c\/p\u003e \u003cp\u003eAnswers 30\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Indices and Surds 33\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 34\u003c\/p\u003e \u003cp\u003e2.2 Rational and irrational numbers (Path) 36\u003c\/p\u003e \u003cp\u003e2.3 Surds (Path) 41\u003c\/p\u003e \u003cp\u003e2.4 Operations with surds (Path) 45\u003c\/p\u003e \u003cp\u003e2.5 Review of index laws 57\u003c\/p\u003e \u003cp\u003e2.6 Negative indices (Path) 63\u003c\/p\u003e \u003cp\u003e2.7 Fractional indices (Path) 69\u003c\/p\u003e \u003cp\u003e2.8 Combining index laws (Path) 74\u003c\/p\u003e \u003cp\u003e2.9 Review 81\u003c\/p\u003e \u003cp\u003eAnswers 90\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Algebraic Techniques (Path) 97\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 98\u003c\/p\u003e \u003cp\u003e3.2 Special binomial products 100\u003c\/p\u003e \u003cp\u003e3.3 Further expansions 105\u003c\/p\u003e \u003cp\u003e3.4 Factorising by grouping in pairs 108\u003c\/p\u003e \u003cp\u003e3.5 Factorising special products 111\u003c\/p\u003e \u003cp\u003e3.6 Factorising non-monic quadratics 116\u003c\/p\u003e \u003cp\u003e3.7 Adding and subtracting algebraic fractions 119\u003c\/p\u003e \u003cp\u003e3.8 Multiplying and dividing algebraic fractions 124\u003c\/p\u003e \u003cp\u003e3.9 Applications of binomial products 131\u003c\/p\u003e \u003cp\u003e3.10 Review 138\u003c\/p\u003e \u003cp\u003eAnswers 144\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Linear Equations and Inequalities 151\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 152\u003c\/p\u003e \u003cp\u003e4.2 Solving linear equations review 154\u003c\/p\u003e \u003cp\u003e4.3 Solving multi-step equations, including fractions (Path) 159\u003c\/p\u003e \u003cp\u003e4.4 Literal equations (Path) 164\u003c\/p\u003e \u003cp\u003e4.5 Solving linear inequalities (Path) 167\u003c\/p\u003e \u003cp\u003e4.6 Review 174\u003c\/p\u003e \u003cp\u003eAnswers 178\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Simultaneous Linear Equations (Path) 183\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 184\u003c\/p\u003e \u003cp\u003e5.2 Solving simultaneous linear equations graphically 186\u003c\/p\u003e \u003cp\u003e5.3 Solving simultaneous linear equations using substitution 195\u003c\/p\u003e \u003cp\u003e5.4 Solving simultaneous linear equations using elimination 200\u003c\/p\u003e \u003cp\u003e5.5 Applications of simultaneous linear equations 206\u003c\/p\u003e \u003cp\u003e5.6 Review 212\u003c\/p\u003e \u003cp\u003eAnswers 219\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Quadratic Equations (Path) 223\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 224\u003c\/p\u003e \u003cp\u003e6.2 Solving quadratic equations algebraically 226\u003c\/p\u003e \u003cp\u003e6.3 The quadratic formula 236\u003c\/p\u003e \u003cp\u003e6.4 Solving quadratic equations graphically 240\u003c\/p\u003e \u003cp\u003e6.5 The discriminant 248\u003c\/p\u003e \u003cp\u003e6.6 Review 255\u003c\/p\u003e \u003cp\u003eAnswers 262\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Linear Relationships 267\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 268\u003c\/p\u003e \u003cp\u003e7.2 Sketching linear graphs 271\u003c\/p\u003e \u003cp\u003e7.3 Determining the equation of a straight line 281\u003c\/p\u003e \u003cp\u003e7.4 Parallel and perpendicular lines 291\u003c\/p\u003e \u003cp\u003e7.5 The distance between two points formula (Path) 297\u003c\/p\u003e \u003cp\u003e7.6 The midpoint of a line segment formula (Path) 301\u003c\/p\u003e \u003cp\u003e7.7 Applications to solving problems (Path) 306\u003c\/p\u003e \u003cp\u003e7.8 Graphing linear inequalities (Path) 312\u003c\/p\u003e \u003cp\u003e7.9 Review 320\u003c\/p\u003e \u003cp\u003eAnswers 328\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Non-linear Relationships 343\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 344\u003c\/p\u003e \u003cp\u003e8.2 The graph of a parabola 347\u003c\/p\u003e \u003cp\u003e8.3 Parabolas and transformations 356\u003c\/p\u003e \u003cp\u003e8.4 Parabolas in vertex form (Path) 365\u003c\/p\u003e \u003cp\u003e8.5 Parabolas in general form (Path) 374\u003c\/p\u003e \u003cp\u003e8.6 Exponential graphs (Path) 379\u003c\/p\u003e \u003cp\u003e8.7 The hyperbola (Path) 387\u003c\/p\u003e \u003cp\u003e8.8 The circle (Path) 393\u003c\/p\u003e \u003cp\u003e8.9 Simultaneous linear and non-linear equations (Path) 398\u003c\/p\u003e \u003cp\u003e8.10 Review 406\u003c\/p\u003e \u003cp\u003eAnswers 413\u003c\/p\u003e \u003cp\u003eSemester review 1 436\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Trigonometry I 439\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 440\u003c\/p\u003e \u003cp\u003e9.2 Pythagoras’ theorem 443\u003c\/p\u003e \u003cp\u003e9.3 Pythagoras’ theorem in three dimensions (Path) 451\u003c\/p\u003e \u003cp\u003e9.4 Trigonometric ratios 457\u003c\/p\u003e \u003cp\u003e9.5 Using trigonometry to calculate side lengths 463\u003c\/p\u003e \u003cp\u003e9.6 Using trigonometry to calculate angle size 468\u003c\/p\u003e \u003cp\u003e9.7 Angles of elevation and depression 473\u003c\/p\u003e \u003cp\u003e9.8 Bearings 478\u003c\/p\u003e \u003cp\u003e9.9 Applications of trigonometry 485\u003c\/p\u003e \u003cp\u003e9.10 Review 490\u003c\/p\u003e \u003cp\u003eAnswers 497\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Trigonometry II (Path) 503\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 504\u003c\/p\u003e \u003cp\u003e10.2 The sine rule 507\u003c\/p\u003e \u003cp\u003e10.3 The cosine rule 515\u003c\/p\u003e \u003cp\u003e10.4 Area of triangles 520\u003c\/p\u003e \u003cp\u003e10.5 The unit circle 527\u003c\/p\u003e \u003cp\u003e10.6 Trigonometric functions 536\u003c\/p\u003e \u003cp\u003e10.7 Solving trigonometric equations 543\u003c\/p\u003e \u003cp\u003e10.8 Review 548\u003c\/p\u003e \u003cp\u003eAnswers 555\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Measurement 563\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 564\u003c\/p\u003e \u003cp\u003e11.2 Area 568\u003c\/p\u003e \u003cp\u003e11.3 Total surface area 577\u003c\/p\u003e \u003cp\u003e11.4 Volume 588\u003c\/p\u003e \u003cp\u003e11.5 Review 603\u003c\/p\u003e \u003cp\u003eAnswers 609\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Properties of Geometrical Figures (Path) 613\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Overview 614\u003c\/p\u003e \u003cp\u003e12.2 Angles, triangles and congruence 617\u003c\/p\u003e \u003cp\u003e12.3 Similar triangles 629\u003c\/p\u003e \u003cp\u003e12.4 Quadrilaterals 638\u003c\/p\u003e \u003cp\u003e12.5 Polygons 650\u003c\/p\u003e \u003cp\u003e12.6 Review 658\u003c\/p\u003e \u003cp\u003eAnswers 665\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Data Analysis 669\u003c\/b\u003e\u003c\/p\u003e 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Review 785\u003c\/p\u003e \u003cp\u003eAnswers 791\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Polynomials (Path) 799\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Overview 800\u003c\/p\u003e \u003cp\u003e15.2 Polynomials 802\u003c\/p\u003e \u003cp\u003e15.3 Adding, subtracting and multiplying polynomials 806\u003c\/p\u003e \u003cp\u003e15.4 Long division of polynomials 808\u003c\/p\u003e \u003cp\u003e15.5 Polynomial values 814\u003c\/p\u003e \u003cp\u003e15.6 The remainder and factor theorems 817\u003c\/p\u003e \u003cp\u003e15.7 Factorising polynomials 821\u003c\/p\u003e \u003cp\u003e15.8 Solving polynomial equations 827\u003c\/p\u003e \u003cp\u003e15.9 Review 830\u003c\/p\u003e \u003cp\u003eAnswers 835\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 Logarithms (Path) 841\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Overview 842\u003c\/p\u003e \u003cp\u003e16.2 Logarithms 844\u003c\/p\u003e \u003cp\u003e16.3 Logarithm laws 850\u003c\/p\u003e \u003cp\u003e16.4 Solving equations 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\u003cli\u003econcepts brought to life with rich multi-media\u003c\/li\u003e \u003cli\u003eeasy navigation\u003c\/li\u003e \u003cli\u003edifferentiated pathways\u003c\/li\u003e \u003cli\u003eimmediate corrective feedback\u003c\/li\u003e \u003cli\u003eWorked solutions for every question\u003c\/li\u003e \u003cli\u003epersonalised pathways that also allow for social learning\u003c\/li\u003e \u003cli\u003eopportunities for remediation, extension, acceleration\u003c\/li\u003e \u003cli\u003etracking progress and growth\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eSupporting teachers\u003c\/b\u003e\u003cbr\u003eTeachers are empowered to teach their class, their way with flexible resources perfect for teaching and learning:\u003c\/p\u003e \u003cul\u003e \u003cli\u003e100's of ready-made and customisable lessons\u003c\/li\u003e \u003cli\u003ecomprehensive Syllabus coverage and planning documentation\u003c\/li\u003e \u003cli\u003ea variety of learning activities\u003c\/li\u003e \u003cli\u003eassessment for, as and of learning\u003c\/li\u003e \u003cli\u003emarking, tracking, monitoring and reporting capabilities\u003c\/li\u003e \u003cli\u003eability to add own materials\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eSupporting schools\u003c\/b\u003e\u003cbr\u003eSchools are set up for success with our unmatched customer service, training and solutions tailored to you:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eLearning Management System (LMS) integration\u003c\/li\u003e \u003cli\u003eonline class set up\u003c\/li\u003e \u003cli\u003ededicated customer specialists\u003c\/li\u003e \u003cli\u003etools to manage classes\u003c\/li\u003e \u003cli\u003ebookseller app integration\u003c\/li\u003e \u003cli\u003ecomplimentary resources for teachers\u003c\/li\u003e \u003cli\u003etraining and professional learning\u003c\/li\u003e \u003cli\u003ecurriculum planning\u003c\/li\u003e \u003cli\u003edata insights\u003c\/li\u003e \u003cli\u003eflexible subscription services at unbeatable prices\u003c\/li\u003e \u003c\/ul\u003e\u003ch3\u003eTable of Contents\u003c\/h3\u003e\u003cp\u003eAbout this resource vii\u003cbr\u003eAcknowledgements xiv\u003c\/p\u003e \u003cp\u003e\u003cb\u003eNAPLAN practice online only\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSet A Calculator allowed\u003cbr\u003eSet B Non-calculator\u003cbr\u003eSet C Calculator allowed\u003cbr\u003eSet D Non-calculator\u003cbr\u003eSet E Calculator allowed\u003cbr\u003eSet F Non-calculator\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Computation with integers 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 2\u003cbr\u003e1.2 Adding and subtracting integers 4\u003cbr\u003e1.3 Multiplying integers 11\u003cbr\u003e1.4 Dividing integers 15\u003cbr\u003e1.5 Order of operations with integers 19\u003cbr\u003e1.6 Review 24\u003cbr\u003eAnswers 30\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Index laws 33\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 34\u003cbr\u003e2.2 Review of index form 36\u003cbr\u003e2.3 Multiplying powers 41\u003cbr\u003e2.4 Dividing powers 45\u003cbr\u003e2.5 The zero index 50\u003cbr\u003e2.6 Raising powers 54\u003cbr\u003e2.7 Review 60\u003cbr\u003eAnswers 66\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Real numbers 71\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 72\u003cbr\u003e3.2 The real number system 74\u003cbr\u003e3.3 Adding and subtracting fractions 79\u003cbr\u003e3.4 Multiplying and dividing fractions 87\u003cbr\u003e3.5 Terminating and recurring decimals 93\u003cbr\u003e3.6 Adding and subtracting decimals 99\u003cbr\u003e3.7 Multiplying and dividing decimals 103\u003cbr\u003e3.8 Estimation 108\u003cbr\u003e3.9 Review 115\u003cbr\u003eAnswers 121\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Percentages 127\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 128\u003cbr\u003e4.2 Percentages 130\u003cbr\u003e4.3 Finding percentages of an amount 136\u003cbr\u003e4.4 Discount 141\u003cbr\u003e4.5 Profit and loss 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Additional thematic pages provide an engaging reference on topics such as climate, endangered species, culture and World Heritage. \u003cb\u003eAustralia section\u003c\/b\u003e This section comprehensively informs students about their own country. Detailed maps of each state and territory are supported by Geofacts and case studies appropriate to primary school students and curriculum themes. Australia’s natural and human features, resources and their sustainable use, care for special places, Aboriginal and Torres Strait Islander cultures and our connections with other countries are featured throughout this section. \u003cb\u003eOnline\u003c\/b\u003e QR codes feature throughout the Atlas so students and teachers can quickly access relevant online content and weblinks.\u003c\/p\u003e\n\n\u003chr\u003e\n\u003ch2\u003eContents\u003c\/h2\u003e\n\n\u003cul\u003e\n\t\u003cli\u003eCurriculum coverage iv\u003c\/li\u003e\n\t\u003cli\u003eAbout the atlas viii\u003c\/li\u003e\n\t\u003cli\u003eFinding places x\u003c\/li\u003e\n\t\u003cli\u003e\n\u003cb\u003eSkills\u003c\/b\u003e\n\t\u003cul\u003e\n\t\t\u003cli\u003eLooking down 2\u003c\/li\u003e\n\t\t\u003cli\u003eWhat is a map? 4\u003c\/li\u003e\n\t\t\u003cli\u003eUsing symbols 6\u003c\/li\u003e\n\t\t\u003cli\u003eFinding your way 8\u003c\/li\u003e\n\t\t\u003cli\u003eUsing direction 10\u003c\/li\u003e\n\t\t\u003cli\u003eWhere is it? 12\u003c\/li\u003e\n\t\t\u003cli\u003eUsing grids 14\u003c\/li\u003e\n\t\t\u003cli\u003eDrawing to scale 16\u003c\/li\u003e\n\t\t\u003cli\u003eUsing scale 18\u003c\/li\u003e\n\t\t\u003cli\u003eTypes of maps 20\u003c\/li\u003e\n\t\t\u003cli\u003eMaking graphs 22\u003c\/li\u003e\n\t\t\u003cli\u003eUsing graphs 24\u003c\/li\u003e\n\t\t\u003cli\u003eCheck your skills 26\u003c\/li\u003e\n\t\u003c\/ul\u003e\n\t\u003c\/li\u003e\n\t\u003cli\u003e\n\u003cb\u003eAustralia\u003c\/b\u003e\n\t\u003cul\u003e\n\t\t\u003cli\u003eAustralia: Natural features 28\u003c\/li\u003e\n\t\t\u003cli\u003eOur land 28\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: Human features 30\u003c\/li\u003e\n\t\t\u003cli\u003eOur peoples 30\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: Queensland 32\u003c\/li\u003e\n\t\t\u003cli\u003eThe Great Barrier Reef 32\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: New South Wales 34\u003c\/li\u003e\n\t\t\u003cli\u003eDubbo — a regional centre 34\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: Australian Capital Territory 36\u003c\/li\u003e\n\t\t\u003cli\u003eCanberra 36\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: Victoria 38\u003c\/li\u003e\n\t\t\u003cli\u003eBlack Saturday 38\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: Tasmania 40\u003c\/li\u003e\n\t\t\u003cli\u003eSaving special places 40\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: South Australia 42\u003c\/li\u003e\n\t\t\u003cli\u003eCoober Pedy — an underground town 42\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: Western Australia 44\u003c\/li\u003e\n\t\t\u003cli\u003eLife on a cattle station 44\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: Northern Territory 46\u003c\/li\u003e\n\t\t\u003cli\u003eKakadu National Park 46\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: Our indigenous peoples 48\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: Caring for Country 50\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: Government 52\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: Population 54\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: Weather and climate 56\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: Natural hazards 58\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: Vegetation and land use 60\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: Minerals and energy 62\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: World Heritage sites and endangered species 64\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: Caring for places 66\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: Our links with the world 68\u003c\/li\u003e\n\t\t\u003cli\u003eAustralia: Statistics 70\u003c\/li\u003e\n\t\u003c\/ul\u003e\n\t\u003c\/li\u003e\n\t\u003cli\u003e\n\u003cb\u003eWorld\u003c\/b\u003e\n\t\u003cul\u003e\n\t\t\u003cli\u003ePacific 72\u003c\/li\u003e\n\t\t\u003cli\u003eNew Zealand 74\u003c\/li\u003e\n\t\t\u003cli\u003eNeighbours in need 75\u003c\/li\u003e\n\t\t\u003cli\u003eAntarctica 76\u003c\/li\u003e\n\t\t\u003cli\u003eAsia: Natural features 78\u003c\/li\u003e\n\t\t\u003cli\u003eHow do we save the world’s wildlife? 78\u003c\/li\u003e\n\t\t\u003cli\u003eAsia: Human features 80\u003c\/li\u003e\n\t\t\u003cli\u003eHow do we plan for growing populations? 80\u003c\/li\u003e\n\t\t\u003cli\u003eSouth-East Asia 82\u003c\/li\u003e\n\t\t\u003cli\u003eEast Asia 84\u003c\/li\u003e\n\t\t\u003cli\u003eSouth and west Asia 86\u003c\/li\u003e\n\t\t\u003cli\u003eEurope: Natural features 88\u003c\/li\u003e\n\t\t\u003cli\u003eHow do we provide energy for the future? 88\u003c\/li\u003e\n\t\t\u003cli\u003eEurope: Human features 90\u003c\/li\u003e\n\t\t\u003cli\u003eHow do we care for cultural heritage? 90\u003c\/li\u003e\n\t\t\u003cli\u003eNorth-west Europe 92\u003c\/li\u003e\n\t\t\u003cli\u003eSouthern Europe 94\u003c\/li\u003e\n\t\t\u003cli\u003eRussia and Eurasia 96\u003c\/li\u003e\n\t\t\u003cli\u003eAfrica: Natural features 98\u003c\/li\u003e\n\t\t\u003cli\u003eHow do we live in dry environments? 98\u003c\/li\u003e\n\t\t\u003cli\u003eAfrica: Human features 100\u003c\/li\u003e\n\t\t\u003cli\u003eHow do we improve people’s lives? 100\u003c\/li\u003e\n\t\t\u003cli\u003eNorthern Africa 102\u003c\/li\u003e\n\t\t\u003cli\u003eSouthern Africa 104\u003c\/li\u003e\n\t\t\u003cli\u003eNorth America: Natural features 106\u003c\/li\u003e\n\t\t\u003cli\u003eHow do we protect threatened environments? 106\u003c\/li\u003e\n\t\t\u003cli\u003eNorth America: Human features 108\u003c\/li\u003e\n\t\t\u003cli\u003eHow do we respect indigenous peoples? 108\u003c\/li\u003e\n\t\t\u003cli\u003eCanada 110\u003c\/li\u003e\n\t\t\u003cli\u003eUnited States of America 112\u003c\/li\u003e\n\t\t\u003cli\u003eSouth America: Natural features 114\u003c\/li\u003e\n\t\t\u003cli\u003eHow do we care for Earth’s special places? 114\u003c\/li\u003e\n\t\t\u003cli\u003eSouth America: Human features 116\u003c\/li\u003e\n\t\t\u003cli\u003eHow do we preserve historical sites? 116\u003c\/li\u003e\n\t\t\u003cli\u003eWorld: Natural features 118\u003c\/li\u003e\n\t\t\u003cli\u003eWorld: Oceans 120\u003c\/li\u003e\n\t\t\u003cli\u003eWorld: Climate 122\u003c\/li\u003e\n\t\t\u003cli\u003eWorld: Vegetation 124\u003c\/li\u003e\n\t\t\u003cli\u003eWorld: Endangered species 126\u003c\/li\u003e\n\t\t\u003cli\u003eWorld: Countries 128\u003c\/li\u003e\n\t\t\u003cli\u003eWorld: Culture 130\u003c\/li\u003e\n\t\t\u003cli\u003eWorld: World Heritage 132\u003c\/li\u003e\n\t\t\u003cli\u003eWorld: The unequal world 134\u003c\/li\u003e\n\t\t\u003cli\u003eFlags of the world 136\u003c\/li\u003e\n\t\t\u003cli\u003eStatistics 140\u003c\/li\u003e\n\t\u003c\/ul\u003e\n\t\u003c\/li\u003e\n\t\u003cli\u003eGlossary 144\u003c\/li\u003e\n\t\u003cli\u003eSubject index 146\u003c\/li\u003e\n\t\u003cli\u003eIndex of places 148\u003c\/li\u003e\n\t\u003cli\u003eAcknowledgements XXX\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Jacaranda","offers":[{"title":"Default Title","offer_id":53558767747345,"sku":"9781118615232","price":45.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0786\/7786\/8817\/files\/9781118615232_5a8b7991-3e83-4147-9faf-364a7251b189.jpg?v=1778750845"},{"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 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Practice, customisable SACs available for all Units to build student competence and confidence.\u003c\/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eLearn online with Australia’s most powerful learning platform, learnON \u003c\/strong\u003e\u003c\/p\u003e\n\n\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\n\n\u003cp\u003e\u003cstrong\u003eCombine units flexibly with the Jacaranda Supercourse \u003c\/strong\u003e\u003c\/p\u003e\n\n\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. 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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 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You can combine Units 1 - 4 in one title, 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\u003eAbout the authors xiv\u003c\/p\u003e \u003cp\u003eAcknowledgements xv\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit 3 Managing a Business 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eArea of Study 1 Business Foundations\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Business foundations 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 4\u003c\/p\u003e \u003cp\u003e1.2 Types of businesses 7\u003c\/p\u003e \u003cp\u003e1.3 APPLY YOUR SKILLS Analysing and discussing social enterprises 17\u003c\/p\u003e \u003cp\u003e1.4 Business objectives 20\u003c\/p\u003e \u003cp\u003e1.5 Business stakeholders 27\u003c\/p\u003e \u003cp\u003e1.6 Potential conflicts between stakeholders and corporate social responsibility considerations 34\u003c\/p\u003e \u003cp\u003e1.7 Extend Your Knowledge Stakeholders and corporate social responsibility 40\u003c\/p\u003e \u003cp\u003e1.8 Management styles 43\u003c\/p\u003e \u003cp\u003e1.9 The appropriateness of management styles 50\u003c\/p\u003e \u003cp\u003e1.10 APPLY YOUR SKILLS Management styles 53\u003c\/p\u003e \u003cp\u003e1.11 Management skills 56\u003c\/p\u003e \u003cp\u003e1.12 The relationship between management styles and skills 68\u003c\/p\u003e \u003cp\u003e1.13 Corporate culture  -  both official and real 69\u003c\/p\u003e \u003cp\u003e1.14 APPLY YOUR SKILLS Styles, skills and corporate culture 72\u003c\/p\u003e \u003cp\u003e1.15 Review 77\u003c\/p\u003e \u003cp\u003e\u003cb\u003eArea of Study 2 Human Resource Management\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Human resource management 85\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 86\u003c\/p\u003e \u003cp\u003e2.2 BACKGROUND KNOWLEDGE Overview of the employment cycle 89\u003c\/p\u003e \u003cp\u003e2.3 The relationship between human resource management and business objectives 92\u003c\/p\u003e \u003cp\u003e2.4 Theories of motivation 96\u003c\/p\u003e \u003cp\u003e2.5 EXTEND YOUR KNOWLEDGE Comparing theories of motivation 107\u003c\/p\u003e \u003cp\u003e2.6 Motivation strategies 112\u003c\/p\u003e \u003cp\u003e2.7 EXTEND YOUR KNOWLEDGE Financial and non-financial motivation 121\u003c\/p\u003e \u003cp\u003e2.8 APPLY YOUR SKILLS Evaluating motivation strategies 124\u003c\/p\u003e \u003cp\u003e2.9 Training options 128\u003c\/p\u003e \u003cp\u003e2.10 APPLY YOUR SKILLS Comparing and evaluating training strategies 134\u003c\/p\u003e \u003cp\u003e2.11 Performance management strategies 137\u003c\/p\u003e \u003cp\u003e2.12 EXTEND YOUR KNOWLEDGE Getting value from performance management 145\u003c\/p\u003e \u003cp\u003e2.13 Termination management 148\u003c\/p\u003e \u003cp\u003e2.14 Workplace relations  -  the roles of participants in the workplace 155\u003c\/p\u003e \u003cp\u003e2.15 Awards and agreements 165\u003c\/p\u003e \u003cp\u003e2.16 Extend Your Knowledge Determining enterprise agreements and Awards 172\u003c\/p\u003e \u003cp\u003e2.17 BACKGROUND KNOWLEDGE Disputes in workplace relations 177\u003c\/p\u003e \u003cp\u003e2.18 Dispute resolution 180\u003c\/p\u003e \u003cp\u003e2.19 APPLY YOUR SKILLS Dispute resolution and methods of determining wages and conditions of work 187\u003c\/p\u003e \u003cp\u003e2.20 Review 191\u003c\/p\u003e \u003cp\u003e\u003cb\u003eArea of Study 3 Operations Management\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Operations management 203\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 204\u003c\/p\u003e \u003cp\u003e3.2 The relationship between operations management and business objectives 207\u003c\/p\u003e \u003cp\u003e3.3 EXTEND YOUR KNOWLEDGE Efficiency and effectiveness of operations 213\u003c\/p\u003e \u003cp\u003e3.4 Key elements of an operations system 217\u003c\/p\u003e \u003cp\u003e3.5 Operations management in manufacturing and service businesses 222\u003c\/p\u003e \u003cp\u003e3.6 Technological developments 225\u003c\/p\u003e \u003cp\u003e3.7 Materials management 234\u003c\/p\u003e \u003cp\u003e3.8 The management of quality 242\u003c\/p\u003e \u003cp\u003e3.9 Waste minimisation 249\u003c\/p\u003e \u003cp\u003e3.10 Lean management 253\u003c\/p\u003e \u003cp\u003e3.11 APPLY YOUR SKILLS Managing technological developments, quality, materials and waste minimisation 259\u003c\/p\u003e \u003cp\u003e3.12 Corporate social responsibility considerations in an operations system 263\u003c\/p\u003e \u003cp\u003e3.13 EXTEND YOUR KNOWLEDGE Socially responsible operations management 267\u003c\/p\u003e \u003cp\u003e3.14 Global considerations in operations management 270\u003c\/p\u003e \u003cp\u003e3.15 APPLY YOUR SKILLS Comparing, evaluating, proposing and justifying operations management strategies 275\u003c\/p\u003e \u003cp\u003e3.16 Review 280\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit 4 Transforming a Business 289\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eArea of Study 1 Reviewing Performance  -  the Need for Change\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Reviewing performance  -  the need for change 291\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 292\u003c\/p\u003e \u003cp\u003e4.2 The concept of business change and approaches to change 295\u003c\/p\u003e \u003cp\u003e4.3 Key performance indicators  -  analysis of business performance 298\u003c\/p\u003e \u003cp\u003e4.4 Key principles of the Force Field Analysis theory (Lewin) 306\u003c\/p\u003e \u003cp\u003e4.5 Driving forces for change in business 310\u003c\/p\u003e \u003cp\u003e4.6 Restraining forces in business 317\u003c\/p\u003e \u003cp\u003e4.7 APPLY YOUR SKILLS Forces affecting change 322\u003c\/p\u003e \u003cp\u003e4.8 APPLY YOUR SKILLS Driving and restraining forces 324\u003c\/p\u003e \u003cp\u003e4.9 Strategic management by Porter’s Generic Strategies (1985) 326\u003c\/p\u003e \u003cp\u003e4.10 APPLY YOUR SKILLS Lower cost and differentiation 331\u003c\/p\u003e \u003cp\u003e4.11 Extend Your Knowledge Data-driven change 334\u003c\/p\u003e \u003cp\u003e4.12 Review 336\u003c\/p\u003e \u003cp\u003e\u003cb\u003eArea of Study 2 Implementing Change\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Implementing change 343\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 344\u003c\/p\u003e \u003cp\u003e5.2 The importance of leadership in change management 348\u003c\/p\u003e \u003cp\u003e5.3 Management strategies to respond to key performance indicators and seek new business opportunities 352\u003c\/p\u003e \u003cp\u003e5.4 APPLY YOUR SKILLS Seeking new business opportunities 364\u003c\/p\u003e \u003cp\u003e5.5 Corporate culture and strategies for its development 366\u003c\/p\u003e \u003cp\u003e5.6 The principles of the Learning Organisation (Senge) 371\u003c\/p\u003e \u003cp\u003e5.7 Low-risk strategies to overcome employee resistance 376\u003c\/p\u003e \u003cp\u003e5.8 High-risk strategies to overcome employee resistance 381\u003c\/p\u003e \u003cp\u003e5.9 The principles of the Three-step Change Model (Lewin) 385\u003c\/p\u003e \u003cp\u003e5.10 The effect of change on stakeholder groups 389\u003c\/p\u003e \u003cp\u003e5.11 Corporate social responsibility considerations when implementing change 396\u003c\/p\u003e \u003cp\u003e5.12 EXTEND YOUR KNOWLEDGE The impact of change on stakeholders and social responsibility 402\u003c\/p\u003e \u003cp\u003e5.13 Reviewing key performance indicators to evaluate transformation 404\u003c\/p\u003e \u003cp\u003e5.14 EXTEND YOUR KNOWLEDGE Dealing with multiple changes 409\u003c\/p\u003e \u003cp\u003e5.15 APPLY YOUR SKILLS Sources of change 412\u003c\/p\u003e \u003cp\u003e5.16 Review 414\u003c\/p\u003e \u003cp\u003eAppendix  -  VCE task words 423\u003c\/p\u003e \u003cp\u003eGlossary 425\u003c\/p\u003e \u003cp\u003eIndex 431\u003c\/p\u003e","brand":"Jacaranda","offers":[{"title":"Units 3 \u0026 4","offer_id":53558768140561,"sku":"9781119884712","price":90.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0786\/7786\/8817\/files\/9781119884712.jpg?v=1778750866"},{"product_id":"jacaranda-key-concepts-in-vce-economics-2-units-3-4-11e-learnon-print-includes-free-studyon","title":"Jacaranda Key Concepts in VCE Economics 2 - Units 3 \u0026 4 11E learnON \u0026 Print (includes free studyON)","description":"\u003cp\u003eJacaranda Key Concepts in VCE Economics Units 3 and 4\u003c\/p\u003e\n\n\u003cp\u003eEverything your students need to succeed.\u003c\/p\u003e\n\n\u003cp\u003eThe best Economics series for the new VCE Study Design. 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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 Units 1 - 4 in one title, so students can move backwards and forwards freely. Or Junior and Senior Sciences for when students who need remediation, extension or acceleration.\u003c\/p\u003e\u003ch3\u003eTable of Contents\u003c\/h3\u003e\u003cp\u003eAbout This Resource ix\u003c\/p\u003e \u003cp\u003eAcknowledgements .xvi\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit 3 How Can Design and Innovation Help to Optimise Chemical Processes? 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eArea of Study 1 What Are the Current and Future Options for Supplying Energy?\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Carbon-based fuels 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 4\u003c\/p\u003e \u003cp\u003e1.2 What are fuels? 5\u003c\/p\u003e \u003cp\u003e1.3 Thermochemical reactions 24\u003c\/p\u003e \u003cp\u003e1.4 Fuel sources for plants and animals 39\u003c\/p\u003e \u003cp\u003e1.5 Review 48\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Measuring changes in chemical reactions 55\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 56\u003c\/p\u003e \u003cp\u003e2.2 Fuel calculations 57\u003c\/p\u003e \u003cp\u003e2.3 Energy from food and fuels 66\u003c\/p\u003e \u003cp\u003e2.4 Calorimetry 73\u003c\/p\u003e \u003cp\u003e2.5 Review 88\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Primary galvanic cells and fuel cells as sources of energy 99\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 100\u003c\/p\u003e \u003cp\u003e3.2 Redox reactions 101\u003c\/p\u003e \u003cp\u003e3.3 Galvanic cells and the electrochemical series 112\u003c\/p\u003e \u003cp\u003e3.4 Energy from primary cells and fuel cells 131\u003c\/p\u003e \u003cp\u003e3.5 Calculations involved in producing electricity from galvanic cells and fuel cells 148\u003c\/p\u003e \u003cp\u003e3.6 Review 159\u003c\/p\u003e \u003cp\u003eArea of Study 1 Review 171\u003c\/p\u003e \u003cp\u003ePractice examination 171\u003c\/p\u003e \u003cp\u003ePractice school-assessed coursework 177\u003c\/p\u003e \u003cp\u003eArea of Study 2 How Can the Rate and Yield of Chemical Reactions Be Optimised?\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Rates of chemical reactions 179\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 180\u003c\/p\u003e \u003cp\u003e4.2 Factors affecting the rate of a chemical reaction 181\u003c\/p\u003e \u003cp\u003e4.3 Catalysts and reaction rates 192\u003c\/p\u003e \u003cp\u003e4.4 Review 201\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Extent of chemical reactions 213\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 214\u003c\/p\u003e \u003cp\u003e5.2 Reversible and irreversible reactions 215\u003c\/p\u003e \u003cp\u003e5.3 Homogeneous equilibria 219\u003c\/p\u003e \u003cp\u003e5.4 Calculations involving equilibrium systems 227\u003c\/p\u003e \u003cp\u003e5.5 The reaction quotient (Q) 236\u003c\/p\u003e \u003cp\u003e5.6 Changes to equilibrium and Le Chatelier’s principle 240\u003c\/p\u003e \u003cp\u003e5.7 Review 261\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Production of chemicals using electrolysis 273\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 274\u003c\/p\u003e \u003cp\u003e6.2 What is electrolysis? 275\u003c\/p\u003e \u003cp\u003e6.3 Using the electrochemical series in electrolysis 282\u003c\/p\u003e \u003cp\u003e6.4 Commercial electrolytic cells 295\u003c\/p\u003e \u003cp\u003e6.5 Rechargeable batteries (secondary cells) 304\u003c\/p\u003e \u003cp\u003e6.6 Contemporary responses to meeting society’s energy needs 314\u003c\/p\u003e \u003cp\u003e6.7 Applications of Faraday’s Laws 327\u003c\/p\u003e \u003cp\u003e6.8 Review 335\u003c\/p\u003e \u003cp\u003eArea of Study 2 Review 347\u003c\/p\u003e \u003cp\u003ePractice examination 347\u003c\/p\u003e \u003cp\u003ePractice school-assessed coursework 352\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit 4 How Are Carbon-based Compounds Designed for Purpose? 353\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eArea of Study 1 How Are Organic Compounds Categorised and Synthesised?\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Structure, nomenclature and properties of organic compounds 355\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 356\u003c\/p\u003e \u003cp\u003e7.2 Characteristics of the carbon atom 357\u003c\/p\u003e \u003cp\u003e7.3 Structure and systematic naming 363\u003c\/p\u003e \u003cp\u003e7.4 Functional groups 374\u003c\/p\u003e \u003cp\u003e7.5 Isomers 389\u003c\/p\u003e \u003cp\u003e7.6 Trends in physical properties 393\u003c\/p\u003e \u003cp\u003e7.7 Review 405\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Reactions of organic compounds 413\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 414\u003c\/p\u003e \u003cp\u003e8.2 Substitution, addition and oxidation reactions 415\u003c\/p\u003e \u003cp\u003e8.3 Condensation and hydrolytic reactions of esters 425\u003c\/p\u003e \u003cp\u003e8.4 Hydrolytic and condensation reactions of biomolecules 434\u003c\/p\u003e \u003cp\u003e8.5 The production of chemicals and green chemistry 454\u003c\/p\u003e \u003cp\u003e8.6 Review 466\u003c\/p\u003e \u003cp\u003eArea of Study 1 Review 475\u003c\/p\u003e \u003cp\u003ePractice examination 475\u003c\/p\u003e \u003cp\u003ePractice school-assessed coursework 481\u003c\/p\u003e \u003cp\u003eArea of Study 2 How Are Organic Compounds Analysed and Used?\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Laboratory analysis of organic compounds 483\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 484\u003c\/p\u003e \u003cp\u003e9.2 Tests for functional groups 485\u003c\/p\u003e \u003cp\u003e9.3 Laboratory techniques for analysis of consumer products 496\u003c\/p\u003e \u003cp\u003e9.4 Volumetric analysis by redox titration 506\u003c\/p\u003e \u003cp\u003e9.5 Review 519\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Instrumental analysis of organic compounds 527\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 528\u003c\/p\u003e \u003cp\u003e10.2 Mass spectrometry 529\u003c\/p\u003e \u003cp\u003e10.3 Infrared spectroscopy 540\u003c\/p\u003e \u003cp\u003e10.4 NMR spectroscopy 551\u003c\/p\u003e \u003cp\u003e10.5 Combining 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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 Units 1 - 4 in one title, so students can move backwards and forwards freely. Or Junior and Senior Sciences for when students who need remediation, extension or acceleration.\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\u003eUnit 3 How Do Fields Explain Motion and Electricity? 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eArea of Study 1 How do Physicists explain motion in Two Dimensions? \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Newton’s laws of motion 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 4\u003c\/p\u003e \u003cp\u003e1.2 BACKGROUND KNOWLEDGE Motion review 5\u003c\/p\u003e \u003cp\u003e1.3 Newton’s laws of motion and their application 17\u003c\/p\u003e \u003cp\u003e1.4 Projectile motion 28\u003c\/p\u003e \u003cp\u003e1.5 Uniform circular motion 44\u003c\/p\u003e \u003cp\u003e1.6 Non-uniform circular motion 62\u003c\/p\u003e \u003cp\u003e1.7 Review 73\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Relationships between force, energy and mass 85\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 86\u003c\/p\u003e \u003cp\u003e2.2 Momentum and impulse 87\u003c\/p\u003e \u003cp\u003e2.3 Work done 98\u003c\/p\u003e \u003cp\u003e2.4 Kinetic and potential energy 104\u003c\/p\u003e \u003cp\u003e2.5 Review 122\u003c\/p\u003e \u003cp\u003eArea of Study 1 Review 133\u003c\/p\u003e \u003cp\u003ePractice examination 133\u003c\/p\u003e \u003cp\u003ePractice school-assessed coursework 140\u003c\/p\u003e \u003cp\u003e\u003cb\u003eArea of Study 2 How Do Things Move Without Contact?\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Gravitational fields and their applications 143\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 144\u003c\/p\u003e \u003cp\u003e3.2 Newton’s Universal Law of Gravitation and the inverse square law 145\u003c\/p\u003e \u003cp\u003e3.3 The field model 150\u003c\/p\u003e \u003cp\u003e3.4 Motion in gravitational fields, from projectiles to satellites in space 159\u003c\/p\u003e \u003cp\u003e3.5 Energy changes in gravitational fields 172\u003c\/p\u003e \u003cp\u003e3.6 Review 184\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Electric fields and their applications 195\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 196\u003c\/p\u003e \u003cp\u003e4.2 Coulomb’s Law and electric force 197\u003c\/p\u003e \u003cp\u003e4.3 The field model for point-like charges 201\u003c\/p\u003e \u003cp\u003e4.4 Electric fields from more than one point-like charge 207\u003c\/p\u003e \u003cp\u003e4.5 Uniform electric fields 213\u003c\/p\u003e \u003cp\u003e4.6 Energy and motion of charges in electric fields and the linear accelerator 218\u003c\/p\u003e \u003cp\u003e4.7 Review 226\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Magnetic fields and their applications 235\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 236\u003c\/p\u003e \u003cp\u003e5.2 Magnets and magnetic fields 237\u003c\/p\u003e \u003cp\u003e5.3 Magnetic fields from moving charged particles 244\u003c\/p\u003e \u003cp\u003e5.4 Using magnetic fields to control charged particles, cyclotrons and mass spectrometers 255\u003c\/p\u003e \u003cp\u003e5.5 Magnetic forces on current-carrying wires 268\u003c\/p\u003e \u003cp\u003e5.6 Applying magnetic forces  -  the DC motor 275\u003c\/p\u003e \u003cp\u003e5.7 Similarities and differences between gravitational, electric and magnetic fields 283\u003c\/p\u003e \u003cp\u003e5.8 Review 288\u003c\/p\u003e \u003cp\u003eArea of Study 2 Review 299\u003c\/p\u003e \u003cp\u003ePractice examination 299\u003c\/p\u003e \u003cp\u003ePractice school-assessed coursework 305\u003c\/p\u003e \u003cp\u003e\u003cb\u003eArea of Study 3 How Are Fields Used in Electricity Generation?\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Generation of electricity 307\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 308\u003c\/p\u003e \u003cp\u003e6.2 BACKGROUND KNOWLEDGE Generating voltage and current with a magnetic field 309\u003c\/p\u003e \u003cp\u003e6.3 Magnetic flux 314\u003c\/p\u003e \u003cp\u003e6.4 Generating emf from a changing magnetic flux 321\u003c\/p\u003e \u003cp\u003e6.5 Generators and alternators 332\u003c\/p\u003e \u003cp\u003e6.6 Photovoltaic cells 343\u003c\/p\u003e \u003cp\u003e6.7 Review 350\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Transmission of electricity 365\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 366\u003c\/p\u003e \u003cp\u003e7.2 Peak, RMS and peak-to-peak voltages 367\u003c\/p\u003e \u003cp\u003e7.3 Transformers 371\u003c\/p\u003e \u003cp\u003e7.4 Power distribution and transmission line losses 382\u003c\/p\u003e \u003cp\u003e7.5 Review 395\u003c\/p\u003e \u003cp\u003eArea of Study 3 Review 405\u003c\/p\u003e \u003cp\u003ePractice examination 405\u003c\/p\u003e \u003cp\u003ePractice school-assessed coursework 412\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit 4 How Have Creative Ideas and Investigation Revolutionised Thinking in Physics? 415\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eArea of Study 1 How Has Understanding About the Physical World Changed?\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Light as a wave 417\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 418\u003c\/p\u003e \u003cp\u003e8.2 Light as a wave 419\u003c\/p\u003e \u003cp\u003e8.3 Interference, resonance and standing waves 428\u003c\/p\u003e \u003cp\u003e8.4 Diffraction of light 438\u003c\/p\u003e \u003cp\u003e8.5 Interference of light 447\u003c\/p\u003e \u003cp\u003e8.6 Review 462\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Light as a particle 473\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 474\u003c\/p\u003e \u003cp\u003e9.2 Could light have particle-like properties as well? 475\u003c\/p\u003e \u003cp\u003e9.3 The photoelectric effect and experimental data 483\u003c\/p\u003e \u003cp\u003e9.4 Limitations of the wave model 501\u003c\/p\u003e \u003cp\u003e9.5 Review 505\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Matter as particles or waves and the similarities between light and matter 517\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 518\u003c\/p\u003e \u003cp\u003e10.2 Matter modelled as a type of wave 519\u003c\/p\u003e \u003cp\u003e10.3 The diffraction of light and matter 523\u003c\/p\u003e \u003cp\u003e10.4 Emission and absorption spectra 532\u003c\/p\u003e \u003cp\u003e10.5 Electrons, atoms and standing waves 543\u003c\/p\u003e \u003cp\u003e10.6 Review 550\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Einstein’s special theory of relativity and the relationship between energy and mass 559\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 560\u003c\/p\u003e \u003cp\u003e11.2 Einstein’s special theory of relativity 561\u003c\/p\u003e \u003cp\u003e11.3 Time dilation 578\u003c\/p\u003e \u003cp\u003e11.4 Length contraction 585\u003c\/p\u003e \u003cp\u003e11.5 Relativity is real 592\u003c\/p\u003e \u003cp\u003e11.6 Einstein’s relationship between mass and energy 597\u003c\/p\u003e \u003cp\u003e11.7 Review 609\u003c\/p\u003e \u003cp\u003eArea of Study 1 Review 617\u003c\/p\u003e \u003cp\u003ePractice examination 617\u003c\/p\u003e \u003cp\u003ePractice school-assessed coursework 623\u003c\/p\u003e \u003cp\u003e\u003cb\u003eArea of Study 2 How Is Scientific Inquiry Used to Investigate Fields, Motion Or Light?\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Scientific investigations\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Overview\u003c\/p\u003e \u003cp\u003e12.2 Key science skills and concepts in physics\u003c\/p\u003e \u003cp\u003e12.3 Accuracy, precision, reproducibility, repeatability and validity of measurements\u003c\/p\u003e \u003cp\u003e12.4 Characteristics of scientific methodology and primary data generation\u003c\/p\u003e \u003cp\u003e12.5 Health, safety and ethical guidelines\u003c\/p\u003e \u003cp\u003e12.6 Ways of organising, analysing and evaluating primary data\u003c\/p\u003e \u003cp\u003e12.7 Challenging scientific models and theories\u003c\/p\u003e \u003cp\u003e12.8 The limitations of investigation methodology and conclusions\u003c\/p\u003e \u003cp\u003e12.9 Conventions of science communication\u003c\/p\u003e \u003cp\u003e12.10 Review\u003c\/p\u003e \u003cp\u003eArea of Study 2 Review\u003c\/p\u003e \u003cp\u003ePractice past VCAA exam questions focused on key science skills.\u003c\/p\u003e \u003cp\u003eAppendix 1 Formulae and data 629\u003c\/p\u003e \u003cp\u003eAppendix 2 Periodic table 632\u003c\/p\u003e \u003cp\u003eAppendix 3 Astronomical data 634\u003c\/p\u003e \u003cp\u003eAnswers 635\u003c\/p\u003e \u003cp\u003eGlossary 690\u003c\/p\u003e \u003cp\u003eIndex 696\u003c\/p\u003e","brand":"Jacaranda","offers":[{"title":"Default Title","offer_id":53558768435473,"sku":"9781119888338","price":90.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0786\/7786\/8817\/files\/9781119888338.jpg?v=1778750877"},{"product_id":"psychology-vce-workbook-units-1-2-9th-edition","title":"Psychology VCE Workbook - Units 1 \u0026 2 (9th Edition)","description":"\u003cp\u003e\u003cem\u003e\u003cstrong\u003eJacaranda Workbook for Psychology VCE Units 1 and 2\u003c\/strong\u003e\u003c\/em\u003e\u003c\/p\u003e\n\n\u003cp\u003eEverything your students need to succeed.\u003c\/p\u003e\n\n\u003cp\u003eVictoria’s most trusted VCE Psychology resource, streamlined. 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