{"title":"Maths Quest for Queensland","description":null,"products":[{"product_id":"jacaranda-maths-quest-11-mathematical-methods-units-12-for-queensland-second-edition-learnon-print","title":"Jacaranda Maths Quest 11 Mathematical Methods Units 1\u00262 for Queensland Second Edition (learnON \u0026 Print)","description":"\u003cp\u003e\u003cb\u003eThe Jacaranda Maths Quest for Queensland series has been entirely updated for the revised Queensland Senior Syllabus. Created by experienced Queensland teachers, the new Maths Quest for Queensland series provides all the tools to help your students progress and achieve success.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAvailable now in learnON, Australia's most powerful online learning platform, which brings trusted Jacaranda content to life.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eVisible learning and accessibility\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eEach lesson is mapped directly to the revised Queensland Senior Syllabus, ensuring 100% coverage for teachers.\u003c\/li\u003e \u003cli\u003eEach lesson is scaffolded using three question types  -  simple familiar, complex familiar and complex unfamiliar  -  to prepare students for assessment.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eUnparalleled exam support\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eStudents access practice exam questions in every lesson and in the chapter review, with sample responses.\u003c\/li\u003e \u003cli\u003eA custom exam‑builder can be filtered by unit, differentiation and question type; a printable exam practice booklet is also available.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eStep-by-step approach to problem-solving and modelling tasks\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eNEW! Practical student guide, stepping them through how to approach and complete problem-solving and modelling tasks.\u003c\/li\u003e \u003cli\u003eBank of quarantined assessment tasks, including teaching advice to assist teachers to create quality problem‑solving and modelling tasks.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eMore than a textbook\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003elearnON is everything you need to prepare and deliver effective lessons in one place.\u003c\/li\u003e \u003cli\u003eEngage students with a multimodal learning experience, including videos and interactivities.\u003c\/li\u003e \u003cli\u003eSave time assessing, with ready-made auto-marked question sets, chapter tests and practice assessments with sample responses.\u003c\/li\u003e \u003cli\u003eIdentify and act on areas of weakness early, with instant reports and learning data.\u003c\/li\u003e \u003cli\u003eEdit the course content to customise student learning and reduce cognitive load.\u003c\/li\u003e \u003c\/ul\u003e\u003ch3\u003eTable of Contents\u003c\/h3\u003e\u003cp\u003eLearning with learnON ix\u003c\/p\u003e \u003cp\u003eTeaching with learnON xv\u003c\/p\u003e \u003cp\u003eAcknowledgements xvi\u003c\/p\u003e \u003cp\u003eProblem-solving and modelling task guide\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit 1 Surds, Algebra, Functions and Probability 01\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 1 Surds and Quadratic Functions\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Surds 03\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 04\u003c\/p\u003e \u003cp\u003e1.2 The real number system and surds 05\u003c\/p\u003e \u003cp\u003e1.3 Simplifying surds 10\u003c\/p\u003e \u003cp\u003e1.4 Operations with surds and rationalising the denominator 16\u003c\/p\u003e \u003cp\u003e1.5 Review 23\u003c\/p\u003e \u003cp\u003eAnswers 26\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Quadratic functions 29\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 30\u003c\/p\u003e \u003cp\u003e2.2 Solving quadratic equations with rational roots 31\u003c\/p\u003e \u003cp\u003e2.3 Solving quadratic equations over R 37\u003c\/p\u003e \u003cp\u003e2.4 Graphs of quadratic functions 44\u003c\/p\u003e \u003cp\u003e2.5 The discriminant 58\u003c\/p\u003e \u003cp\u003e2.6 Modelling with quadratic functions 67\u003c\/p\u003e \u003cp\u003e2.7 Review 77\u003c\/p\u003e \u003cp\u003eAnswers 81\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 2 Binomial Expansion and Cubic Functions\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Binomial expansions and cubic functions 89\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 90\u003c\/p\u003e \u003cp\u003e3.2 Pascal’s triangle and binomial expansions 91\u003c\/p\u003e \u003cp\u003e3.3 The binomial theorem 101\u003c\/p\u003e \u003cp\u003e3.4 Polynomials and cubic functions 105\u003c\/p\u003e \u003cp\u003e3.5 Graphing cubic functions 111\u003c\/p\u003e \u003cp\u003e3.6 Solving cubic equations 124\u003c\/p\u003e \u003cp\u003e3.7 Modelling cubic functions 130\u003c\/p\u003e \u003cp\u003e3.8 Review 137\u003c\/p\u003e \u003cp\u003eAnswers 141\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 3 Functions and Relations\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Introduction to functions and relations 153\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 154\u003c\/p\u003e \u003cp\u003e4.2 Functions and relations 155\u003c\/p\u003e \u003cp\u003e4.3 Function notation 166\u003c\/p\u003e \u003cp\u003e4.4 Piece-wise functions 176\u003c\/p\u003e \u003cp\u003e4.5 Review 189\u003c\/p\u003e \u003cp\u003eAnswers 194\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Graphs of relations and reciprocal functions 201\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 202\u003c\/p\u003e \u003cp\u003e5.2 The circle 203\u003c\/p\u003e \u003cp\u003e5.3 The sideways parabola and square root function 211\u003c\/p\u003e \u003cp\u003e5.4 The reciprocal function 219\u003c\/p\u003e \u003cp\u003e5.5 Review 231\u003c\/p\u003e \u003cp\u003eAnswers 235\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 4 Trigonometric Functions\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Trigonometric functions 243\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 244\u003c\/p\u003e \u003cp\u003e6.2 Trigonometry review 245\u003c\/p\u003e \u003cp\u003e6.3 Radian measure 253\u003c\/p\u003e \u003cp\u003e6.4 Unit circle definitions 262\u003c\/p\u003e \u003cp\u003e6.5 Exact values and symmetry properties 273\u003c\/p\u003e \u003cp\u003e6.6 Graphs of the sine, cosine and tangent functions 285\u003c\/p\u003e \u003cp\u003e6.7 Solving trigonometric equations 295\u003c\/p\u003e \u003cp\u003e6.8 Transformations of the sine and cosine functions 307\u003c\/p\u003e \u003cp\u003e6.9 Modelling with trigonometric functions 321\u003c\/p\u003e \u003cp\u003e6.10 Review 331\u003c\/p\u003e \u003cp\u003eAnswers 335\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 5 Probability\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Probability 351\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 352\u003c\/p\u003e \u003cp\u003e7.2 Concepts of probability 353\u003c\/p\u003e \u003cp\u003e7.3 Relative frequency 365\u003c\/p\u003e \u003cp\u003e7.4 Conditional probability 371\u003c\/p\u003e \u003cp\u003e7.5 Independence 379\u003c\/p\u003e \u003cp\u003e7.6 Review 387\u003c\/p\u003e \u003cp\u003eAnswers 392\u003c\/p\u003e \u003cp\u003ePractice Assessment 1\u003c\/p\u003e \u003cp\u003eProblem-solving and modelling task\u003c\/p\u003e \u003cp\u003ePractice Assessment 2\u003c\/p\u003e \u003cp\u003eUnit 1 Examination\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit 2 Calculus and Further Functions 397\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 1 Exponential Functions\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Indices and index laws 399\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 400\u003c\/p\u003e \u003cp\u003e8.2 Index laws 401\u003c\/p\u003e \u003cp\u003e8.3 Negative and fractional indices 408\u003c\/p\u003e \u003cp\u003e8.4 Scientific notation 415\u003c\/p\u003e \u003cp\u003e8.5 Review 420\u003c\/p\u003e \u003cp\u003eAnswers 423\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Introduction to exponential functions 425\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 426\u003c\/p\u003e \u003cp\u003e9.2 Solving exponential equations 427\u003c\/p\u003e \u003cp\u003e9.3 Graphs of exponential functions 431\u003c\/p\u003e \u003cp\u003e9.4 Modelling with exponential functions 441\u003c\/p\u003e \u003cp\u003e9.5 Review 448\u003c\/p\u003e \u003cp\u003eAnswers 452\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 2 Logarithms and Logarithmic Functions\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Logarithms and logarithmic functions 457\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 458\u003c\/p\u003e \u003cp\u003e10.2 Logarithms and logarithmic laws 459\u003c\/p\u003e \u003cp\u003e10.3 Indicial equations and logarithms 466\u003c\/p\u003e \u003cp\u003e10.4 Graphs of logarithmic functions 473\u003c\/p\u003e \u003cp\u003e10.5 Modelling with logarithmic functions 481\u003c\/p\u003e \u003cp\u003e10.6 Review 491\u003c\/p\u003e \u003cp\u003eAnswers 494\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 3 Introduction to Differential Calculus\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Rates of change and the concept of derivatives 499\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 500\u003c\/p\u003e \u003cp\u003e11.2 Average rates of change 501\u003c\/p\u003e \u003cp\u003e11.3 Differentiation from first principles 508\u003c\/p\u003e \u003cp\u003e11.4 Differentiation by rule 517\u003c\/p\u003e \u003cp\u003e11.5 Interpreting the derivative 526\u003c\/p\u003e \u003cp\u003e11.6 Differentiation of power functions 532\u003c\/p\u003e \u003cp\u003e11.7 Review 539\u003c\/p\u003e \u003cp\u003eAnswers 542\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 4 Applications of Differential Calculus\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Graphical applications of derivatives 549\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Overview 550\u003c\/p\u003e \u003cp\u003e12.2 Instantaneous rates of change 551\u003c\/p\u003e \u003cp\u003e12.3 Tangents and normals of a graph 556\u003c\/p\u003e \u003cp\u003e12.4 Kinematics 566\u003c\/p\u003e \u003cp\u003e12.5 Curve sketching 577\u003c\/p\u003e \u003cp\u003e12.6 Review 591\u003c\/p\u003e \u003cp\u003eAnswers 594\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 5 Further Differentiation\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Differentiation rules 601\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Overview 602\u003c\/p\u003e \u003cp\u003e13.2 The chain rule 603\u003c\/p\u003e \u003cp\u003e13.3 The product rule 610\u003c\/p\u003e \u003cp\u003e13.4 The quotient rule 614\u003c\/p\u003e \u003cp\u003e13.5 Combinations of the chain rule, product rule and quotient rule 620\u003c\/p\u003e \u003cp\u003e13.6 Review 623\u003c\/p\u003e \u003cp\u003eAnswers 626\u003c\/p\u003e \u003cp\u003ePractice Assessment 3\u003c\/p\u003e \u003cp\u003eUnit 2 Examination\u003c\/p\u003e \u003cp\u003ePractice Assessment 4\u003c\/p\u003e \u003cp\u003eUnits 1\u0026amp;2 Examination\u003c\/p\u003e \u003cp\u003eGlossary 631\u003c\/p\u003e","brand":"Jacaranda","offers":[{"title":"Mathematical Methods","offer_id":53558771122449,"sku":"9781394269549","price":90.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0786\/7786\/8817\/files\/9781394269549.jpg?v=1778750967"},{"product_id":"jacaranda-maths-quest-11-essential-mathematics-units-12-for-queensland-second-edition-learnon-print","title":"Jacaranda Maths Quest 11 Essential Mathematics Units 1\u00262 for Queensland Second Edition (learnON \u0026 Print)","description":"\u003cp\u003e\u003cb\u003eThe Jacaranda Maths Quest for Queensland series has been entirely updated for the revised Queensland Senior Syllabus. Created by experienced Queensland teachers, the new Maths Quest for Queensland series provides all the tools to help your students progress and achieve success.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAvailable now in learnON, Australia’s most powerful online learning platform, which brings trusted Jacaranda content to life.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eVisible learning and accessibility\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eEach lesson is mapped directly to the revised Queensland Senior Syllabus, ensuring 100% coverage for teachers.\u003c\/li\u003e \u003cli\u003eEach lesson is scaffolded using three question types  -  simple familiar, complex familiar and complex unfamiliar  -  to prepare students for assessment.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eUnparalleled exam support\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eStudents access practice exam questions in every lesson and in the chapter review, with sample responses.\u003c\/li\u003e \u003cli\u003eA custom exam‑builder can be filtered by unit, differentiation and question type; a printable exam practice booklet is also available.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eStep-by-step approach to problem-solving and modelling tasks\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eNEW! Practical student guide, stepping them through how to approach and complete problem-solving and modelling tasks.\u003c\/li\u003e \u003cli\u003eBank of quarantined assessment tasks, including teaching advice to assist teachers to create quality problem‑solving and modelling tasks.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eMore than a textbook\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003elearnON is everything you need to prepare and deliver effective lessons in one place.\u003c\/li\u003e \u003cli\u003eEngage students with a multimodal learning experience, including videos and interactivities.\u003c\/li\u003e \u003cli\u003eSave time assessing, with ready-made auto-marked question sets, chapter tests and practice assessments with sample responses.\u003c\/li\u003e \u003cli\u003eIdentify and act on areas of weakness early, with instant reports and learning data.\u003c\/li\u003e \u003cli\u003eEdit the course content to customise student learning and reduce cognitive load.\u003c\/li\u003e \u003c\/ul\u003e\u003ch3\u003eTable of Contents\u003c\/h3\u003e\u003cp\u003e1 Calculations\u003c\/p\u003e \u003cp\u003e1.1 Overview\u003c\/p\u003e \u003cp\u003e1.2 Number operations\u003c\/p\u003e \u003cp\u003e1.3 Order of operations and reasonableness\u003c\/p\u003e \u003cp\u003e1.4 Estimation\u003c\/p\u003e \u003cp\u003e1.5 Decimal significance\u003c\/p\u003e \u003cp\u003e1.6 Calculator skills\u003c\/p\u003e \u003cp\u003e1.7 Approximation\u003c\/p\u003e \u003cp\u003e1.8 Review\u003c\/p\u003e \u003cp\u003e2 Ratios\u003c\/p\u003e \u003cp\u003e2.1 Overview\u003c\/p\u003e \u003cp\u003e2.2 Introduction to ratios\u003c\/p\u003e \u003cp\u003e2.3 Ratios of two quantities\u003c\/p\u003e \u003cp\u003e2.4 Divide into ratios [complex]\u003c\/p\u003e \u003cp\u003e2.5 Scales, diagrams and maps [complex]\u003c\/p\u003e \u003cp\u003e2.6 Review\u003c\/p\u003e \u003cp\u003e3 Rates\u003c\/p\u003e \u003cp\u003e3.1 Overview\u003c\/p\u003e \u003cp\u003e3.2 Identifying rates\u003c\/p\u003e \u003cp\u003e3.3 Conversion of rates\u003c\/p\u003e \u003cp\u003e3.4 Calculation with rates involving direct proportion [complex]\u003c\/p\u003e \u003cp\u003e3.5 Comparison of rates\u003c\/p\u003e \u003cp\u003e3.6 Rates and costs\u003c\/p\u003e \u003cp\u003e3.7 Review\u003c\/p\u003e \u003cp\u003e4 Percentages\u003c\/p\u003e \u003cp\u003e4.1 Overview\u003c\/p\u003e \u003cp\u003e4.2 Calculating percentages\u003c\/p\u003e \u003cp\u003e4.3 Express as a percentage\u003c\/p\u003e \u003cp\u003e4.4 Percentage increase and decrease [complex]\u003c\/p\u003e \u003cp\u003e4.5 Real-world application of percentages  -  Simple interest [complex]\u003c\/p\u003e \u003cp\u003e4.6 Review\u003c\/p\u003e \u003cp\u003e5 Units of energy\u003c\/p\u003e \u003cp\u003e5.1 Overview\u003c\/p\u003e \u003cp\u003e5.2 Units of energy\u003c\/p\u003e \u003cp\u003e5.3 Energy in food\u003c\/p\u003e \u003cp\u003e5.4 Energy in activities\u003c\/p\u003e \u003cp\u003e5.5 Energy consumption\u003c\/p\u003e \u003cp\u003e5.6 Review\u003c\/p\u003e \u003cp\u003e6 Data classification, presentation and interpretation\u003c\/p\u003e \u003cp\u003e6.1 Overview\u003c\/p\u003e \u003cp\u003e6.2 Classifying data\u003c\/p\u003e \u003cp\u003e6.3 Categorical data\u003c\/p\u003e \u003cp\u003e6.4 Numerical data\u003c\/p\u003e \u003cp\u003e6.5 Recognising and identifying outliers\u003c\/p\u003e \u003cp\u003e6.6 Comparing different data [complex]\u003c\/p\u003e \u003cp\u003e6.7 Review\u003c\/p\u003e \u003cp\u003e7 Earning money\u003c\/p\u003e \u003cp\u003e7.1 Overview\u003c\/p\u003e \u003cp\u003e7.2 Salary, wages and overtime\u003c\/p\u003e \u003cp\u003e7.3 Income payments  -  commission, piecework and royalties\u003c\/p\u003e \u003cp\u003e7.4 Convert between different pay periods [complex]\u003c\/p\u003e \u003cp\u003e7.5 Personal taxation, PAYG and employee superannuation\u003c\/p\u003e \u003cp\u003e7.6 Determining PAYG tax using tax tables [complex]\u003c\/p\u003e \u003cp\u003e7.7 Determining taxable income by applying tax deductions [complex]\u003c\/p\u003e \u003cp\u003e7.8 Calculating simple tax returns [complex]\u003c\/p\u003e \u003cp\u003e7.9 Review\u003c\/p\u003e \u003cp\u003e8 Budgeting [complex]\u003c\/p\u003e \u003cp\u003e8.1 Overview\u003c\/p\u003e \u003cp\u003e8.2 Products and services\u003c\/p\u003e \u003cp\u003e8.3 Rent and utility costs\u003c\/p\u003e \u003cp\u003e8.4 Car expenses\u003c\/p\u003e \u003cp\u003e8.5 Personal budget plan\u003c\/p\u003e \u003cp\u003e8.6 Review\u003c\/p\u003e \u003cp\u003e9 Census, surveys and simple survey procedures\u003c\/p\u003e \u003cp\u003e9.1 Overview\u003c\/p\u003e \u003cp\u003e9.2 Investigating a census\u003c\/p\u003e \u003cp\u003e9.3 Sampling methods - advantages and disadvantages [complex]\u003c\/p\u003e \u003cp\u003e9.4 Target population\u003c\/p\u003e \u003cp\u003e9.5 Investigating questionnaire design principles [complex]\u003c\/p\u003e \u003cp\u003e9.6 Review\u003c\/p\u003e \u003cp\u003e10 Sources of bias\u003c\/p\u003e \u003cp\u003e10.1 Overview\u003c\/p\u003e \u003cp\u003e10.2 Faults in collecting data\u003c\/p\u003e \u003cp\u003e10.3 Investigating possible misrepresentation of results [complex]\u003c\/p\u003e \u003cp\u003e10.4 Investigating errors and misrepresentation in surveys [complex]\u003c\/p\u003e \u003cp\u003e10.5 Review\u003c\/p\u003e \u003cp\u003e11 Reading, interpreting and using graphs\u003c\/p\u003e \u003cp\u003e11.1 Overview\u003c\/p\u003e \u003cp\u003e11.2 Two-way tables\u003c\/p\u003e \u003cp\u003e11.3 Line graphs, pie graphs and step graphs\u003c\/p\u003e \u003cp\u003e11.4 Column graphs and picture graphs\u003c\/p\u003e \u003cp\u003e11.5 Misleading graphs [complex]\u003c\/p\u003e \u003cp\u003e11.6 Review\u003c\/p\u003e \u003cp\u003e12 Drawing and using graphs\u003c\/p\u003e \u003cp\u003e12.1 Overview\u003c\/p\u003e \u003cp\u003e12.2 Drawing and using line graphs [complex]\u003c\/p\u003e \u003cp\u003e12.3 Drawing and using column graphs and pie graphs\u003c\/p\u003e \u003cp\u003e12.4 Graphing with technology [complex]\u003c\/p\u003e \u003cp\u003e12.5 Review\u003c\/p\u003e \u003cp\u003e13 Time\u003c\/p\u003e \u003cp\u003e13.1 Overview\u003c\/p\u003e \u003cp\u003e13.2 Representing and calculating time and time intervals\u003c\/p\u003e \u003cp\u003e13.3 Interpreting timetables\u003c\/p\u003e \u003cp\u003e13.4 Interpreting complex timetables and planning routes [complex]\u003c\/p\u003e \u003cp\u003e13.5 Compare travel time\u003c\/p\u003e \u003cp\u003e13.6 Review\u003c\/p\u003e \u003cp\u003e14 Distance and speed\u003c\/p\u003e \u003cp\u003e14.1 Overview\u003c\/p\u003e \u003cp\u003e14.2 Distance, scales and maps\u003c\/p\u003e \u003cp\u003e14.3 Investigate distances and directions [complex]\u003c\/p\u003e \u003cp\u003e14.4 Calculating speed, distance and time, and their units\u003c\/p\u003e \u003cp\u003e14.5 Distance-time graph and cost of the journey [complex]\u003c\/p\u003e \u003cp\u003e14.6 Review\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e","brand":"Jacaranda","offers":[{"title":"Essential Mathematics","offer_id":53558771155217,"sku":"9781394269587","price":90.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0786\/7786\/8817\/files\/9781394269587.jpg?v=1778750970"},{"product_id":"jacaranda-maths-quest-11-general-mathematics-units-12-for-queensland-second-edition-learnon-print","title":"Jacaranda Maths Quest 11 General Mathematics Units 1\u00262 for Queensland Second Edition (learnON \u0026 Print)","description":"\u003cp\u003e\u003cb\u003eThe Jacaranda Maths Quest for Queensland series has been entirely updated for the revised Queensland Senior Syllabus. Created by experienced Queensland teachers, the new Maths Quest for Queensland series provides all the tools to help your students progress and achieve success.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAvailable now in learnON, Australia's most powerful online learning platform, which brings trusted Jacaranda content to life.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eVisible learning and accessibility \u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eEach lesson is mapped directly to the revised Queensland Senior Syllabus, ensuring 100% coverage for teachers.\u003c\/li\u003e \u003cli\u003eEach lesson is scaffolded using three question types  -  simple familiar, complex familiar and complex unfamiliar  -  to prepare students for assessment.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eUnparalleled exam support\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eStudents access practice exam questions in every lesson and in the chapter review, with sample responses.\u003c\/li\u003e \u003cli\u003eA custom exam‑builder can be filtered by unit, differentiation and question type; a printable exam practice booklet is also available.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eStep-by-step approach to problem-solving and modelling tasks\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eNEW! Practical student guide, stepping them through how to approach and complete problem-solving and modelling tasks.\u003c\/li\u003e \u003cli\u003eBank of quarantined assessment tasks, including teaching advice to assist teachers to create quality problem‑solving and modelling tasks.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eMore than a textbook\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003elearnON is everything you need to prepare and deliver effective lessons in one place.\u003c\/li\u003e \u003cli\u003eEngage students with a multimodal learning experience, including videos and interactivities.\u003c\/li\u003e \u003cli\u003eSave time assessing, with ready-made auto-marked question sets, chapter tests and practice assessments with sample responses.\u003c\/li\u003e \u003cli\u003eIdentify and act on areas of weakness early, with instant reports and learning data.\u003c\/li\u003e \u003cli\u003eEdit the course content to customise student learning and reduce cognitive load.\u003c\/li\u003e \u003c\/ul\u003e\u003ch3\u003eTable of Contents\u003c\/h3\u003e\u003cp\u003eLearning with learnON vii\u003cbr\u003eTeaching with learnON xiii\u003cbr\u003eAcknowledgements xiv\u003c\/p\u003e \u003cp\u003eUNIT 1 MONEY, MEASUREMENT, ALGEBRA AND LINEAR EQUATIONS 1\u003c\/p\u003e \u003cp\u003eTOPIC 1 CONSUMER ARITHMETIC\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Consumer arithmetic -- earning and budgeting 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 4\u003cbr\u003e1.2 Rates and percentages 5\u003cbr\u003e1.3 Wages 12\u003cbr\u003e1.4 Earning wages 16\u003cbr\u003e1.5 Working overtime 20\u003cbr\u003e1.6 Earnings -- commission and piecework 24\u003cbr\u003e1.7 Payments -- government allowances and pensions 31\u003cbr\u003e1.8 Personal budgets 35\u003cbr\u003e1.9 Review 41\u003cbr\u003eAnswers 46\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Consumer arithmetic -- managing finances 51\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 52\u003cbr\u003e2.2 Unit cost 53\u003cbr\u003e2.3 Mark-ups and discounts 57\u003cbr\u003e2.4 Goods and services tax (GST) 62\u003cbr\u003e2.5 Profit and loss 65\u003cbr\u003e2.6 Simple interest 69\u003cbr\u003e2.7 Compound interest (optional) 74\u003cbr\u003e2.8 Exchange rates 79\u003cbr\u003e2.9 Dividends 82\u003cbr\u003e2.10 Review 87\u003cbr\u003eAnswers 90\u003c\/p\u003e \u003cp\u003eTOPIC 2 SHAPE AND MEASUREMENT\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Pythagoras' theorem and mensuration 93\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 94\u003cbr\u003e3.2 Pythagoras' theorem in two dimensions 96\u003cbr\u003e3.3 Pythagoras' theorem in three dimensions 102\u003cbr\u003e3.4 Perimeter and area of polygons and circles 108\u003cbr\u003e3.5 Perimeter and area of sectors and composite shapes 115\u003cbr\u003e3.6 Volume and capacity 125\u003cbr\u003e3.7 Surface area of three-dimensional objects 137\u003cbr\u003e3.8 Review 147\u003c\/p\u003e \u003cp\u003eTOPIC 3 SIMILARITY AND SCALE\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Similar figures and scale factors 155\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 156\u003cbr\u003e4.2 Similarity of two-dimensional figures 157\u003cbr\u003e4.3 Linear scale factors 166\u003cbr\u003e4.4 Scale drawings -- maps and plans 175\u003cbr\u003e4.5 Area and volume scale factors 188\u003cbr\u003e4.6 Review 194\u003cbr\u003eAnswers 199\u003c\/p\u003e \u003cp\u003eTOPIC 4 ALGEBRA\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Linear and non-linear relationships 201\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 202\u003cbr\u003e5.2 Substitution 203\u003cbr\u003e5.3 Formulas 208\u003cbr\u003e5.4 Transposition 214\u003cbr\u003e5.5 Review 219\u003cbr\u003eAnswers 222\u003c\/p\u003e \u003cp\u003eTOPIC 5 LINEAR EQUATIONS AND THEIR GRAPHS\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Linear equations 225\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 226\u003cbr\u003e6.2 Solving linear equations 227\u003cbr\u003e6.3 Developing linear equations and solving practical problems 232\u003cbr\u003e6.4 Review 236\u003cbr\u003eAnswers 239\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Straight-line graphs 241\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 242\u003cbr\u003e7.2 Constructing straight-line graphs 243\u003cbr\u003e7.3 Determine and interpret the slope and intercepts 254\u003cbr\u003e7.4 Modelling with straight-line graphs 263\u003c\/p\u003e \u003cp\u003eUNIT 2 APPLICATIONS OF LINEAR EQUATIONS AND TRIGONOMETRY, MATRICES AND UNIVARIATE DATA ANALYSIS 281\u003c\/p\u003e \u003cp\u003eTOPIC 1 APPLICATIONS OF LINEAR EQUATIONS AND THEIR GRAPHS\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Simultaneous equations and their applications 283\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 284\u003cbr\u003e8.2 Solving simultaneous linear equations graphically 285\u003cbr\u003e8.3 Solving simultaneous equations algebraically 293\u003cbr\u003e8.4 Solving practical problems using simultaneous equations 300\u003cbr\u003e8.5 Piecewise linear graphs and step graphs 307\u003cbr\u003e8.6 Review 321\u003cbr\u003eAnswers 325\u003c\/p\u003e \u003cp\u003eTOPIC 2 APPLICATIONS OF TRIGONOMETRY\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Applications of trigonometry 331\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 332\u003cbr\u003e9.2 Trigonometric ratios 334\u003cbr\u003e9.3 Area of triangles 351\u003cbr\u003e9.4 Angles of elevation and depression 357\u003cbr\u003e9.5 The sine rule 362\u003cbr\u003e9.6 The cosine rule 369\u003cbr\u003e9.7 True bearings 375\u003cbr\u003e9.8 Review 382\u003cbr\u003eAnswers 388\u003c\/p\u003e \u003cp\u003eTOPIC 3 MATRICES\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Matrices and matrix arithmetic 391\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 392\u003cbr\u003e10.2 Types of matrices 393\u003cbr\u003e10.3 Operations with matrices 403\u003cbr\u003e10.4 Matrix multiplication 409\u003cbr\u003e10.5 Applications of matrices 420\u003cbr\u003e10.6 Review 428\u003cbr\u003eAnswers 433\u003c\/p\u003e \u003cp\u003eTOPIC 4 UNIVARIATE DATA ANALYSIS 1\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Univariate data analysis 437\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 438\u003cbr\u003e11.2 Classifying data and displaying categorical data 440\u003cbr\u003e11.3 Dot plots, stem-and-leaf plots, column charts and histograms 453\u003cbr\u003e11.4 Measures of centre 460\u003cbr\u003e11.5 Measures of spread 474\u003cbr\u003e11.6 Review 483\u003c\/p\u003e \u003cp\u003eTOPIC 5 UNIVARIATE DATA ANALYSIS 2\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Univariate data comparisons 495\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Overview 496\u003cbr\u003e12.2 Constructing boxplots 497\u003cbr\u003e12.3 Outliers and fences 503\u003cbr\u003e12.4 Parallel boxplots 508\u003cbr\u003e12.5 Review 516\u003cbr\u003eAnswers 522\u003c\/p\u003e \u003cp\u003e\u003cb\u003eonline only\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003ePRACTICE ASSESSMENT 3\u003cbr\u003eUnit 2 Examination\u003c\/p\u003e \u003cp\u003ePRACTICE ASSESSMENT 4\u003cbr\u003eUnits 1 \u0026amp; 2 Examination\u003c\/p\u003e \u003cp\u003eGlossary 525\u003c\/p\u003e","brand":"Jacaranda","offers":[{"title":"General Mathematics","offer_id":53558771253521,"sku":"9781394269679","price":90.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0786\/7786\/8817\/files\/9781394269679.jpg?v=1778750976"},{"product_id":"jacaranda-maths-quest-11-specialist-mathematics-units-12-for-queensland-second-edition-learnon-print","title":"Jacaranda Maths Quest 11 Specialist Mathematics Units 1\u00262 for Queensland Second Edition (learnON \u0026 Print)","description":"\u003cp\u003e\u003cb\u003eThe Jacaranda Maths Quest for Queensland series has been entirely updated for the revised Queensland Senior Syllabus. Created by experienced Queensland teachers, the new Maths Quest for Queensland series provides all the tools to help your students progress and achieve success.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAvailable now in learnON, Australia's most powerful online learning platform, which brings trusted Jacaranda content to life.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eVisible learning and accessibility\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eEach lesson is mapped directly to the revised Queensland Senior Syllabus, ensuring 100% coverage for teachers.\u003c\/li\u003e \u003cli\u003eEach lesson is scaffolded using three question types  -  simple familiar, complex familiar and complex unfamiliar  -  to prepare students for assessment.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eUnparalleled exam support\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eStudents access practice exam questions in every lesson and in the chapter review, with sample responses.\u003c\/li\u003e \u003cli\u003eA custom exam‑builder can be filtered by unit, differentiation and question type; a printable exam practice booklet is also available.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eStep-by-step approach to problem-solving and modelling tasks\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eNEW! Practical student guide, stepping them through how to approach and complete problem-solving and modelling tasks.\u003c\/li\u003e \u003cli\u003eBank of quarantined assessment tasks, including teaching advice to assist teachers to create quality problem‑solving and modelling tasks.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eMore than a textbook\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003elearnON is everything you need to prepare and deliver effective lessons in one place.\u003c\/li\u003e \u003cli\u003eEngage students with a multimodal learning experience, including videos and interactivities.\u003c\/li\u003e \u003cli\u003eSave time assessing, with ready-made auto-marked question sets, chapter tests and practice assessments with sample responses.\u003c\/li\u003e \u003cli\u003eIdentify and act on areas of weakness early, with instant reports and learning data.\u003c\/li\u003e \u003cli\u003eEdit the course content to customise student learning and reduce cognitive load.\u003c\/li\u003e \u003c\/ul\u003e\u003ch3\u003eTable of Contents\u003c\/h3\u003e\u003cp\u003e1 Combinatorics\u003c\/p\u003e \u003cp\u003e1.1 Overview\u003c\/p\u003e \u003cp\u003e1.2 Counting techniques\u003c\/p\u003e \u003cp\u003e1.3 Factorials and permutations\u003c\/p\u003e \u003cp\u003e1.4 Permutations with restrictions\u003c\/p\u003e \u003cp\u003e1.5 Combinations\u003c\/p\u003e \u003cp\u003e1.6 Applications of permutations and combinations\u003c\/p\u003e \u003cp\u003e1.7 Review\u003c\/p\u003e \u003cp\u003e2 Introduction to proof\u003c\/p\u003e \u003cp\u003e2.1 Overview\u003c\/p\u003e \u003cp\u003e2.2 Number systems and writing propositions\u003c\/p\u003e \u003cp\u003e2.3 Direct proofs using Euclidean geometry\u003c\/p\u003e \u003cp\u003e2.4 Indirect methods of proof\u003c\/p\u003e \u003cp\u003e2.5 Proofs with rational and irrational numbers\u003c\/p\u003e \u003cp\u003e2.6 Review\u003c\/p\u003e \u003cp\u003e3 Vectors in the plane\u003c\/p\u003e \u003cp\u003e3.1 Overview\u003c\/p\u003e \u003cp\u003e3.2 Vectors and scalars\u003c\/p\u003e \u003cp\u003e3.3 Vectors in two dimensions\u003c\/p\u003e \u003cp\u003e3.4 Review\u003c\/p\u003e \u003cp\u003e4 Algebra of vectors in two dimensions\u003c\/p\u003e \u003cp\u003e4.1 Overview\u003c\/p\u003e \u003cp\u003e4.2 Vector representations\u003c\/p\u003e \u003cp\u003e4.3 Scalar (dot) product and the projection of vectors - scalar and vector resolutes\u003c\/p\u003e \u003cp\u003e4.4 Operations with vectors\u003c\/p\u003e \u003cp\u003e4.5 Applications of vectors in two dimensions\u003c\/p\u003e \u003cp\u003e4.6 Review\u003c\/p\u003e \u003cp\u003e5 Matrices\u003c\/p\u003e \u003cp\u003e5.1 Overview\u003c\/p\u003e \u003cp\u003e5.2 Matrix definition and notation\u003c\/p\u003e \u003cp\u003e5.3 Addition, subtraction and scalar multiplication of matrices\u003c\/p\u003e \u003cp\u003e5.4 Matrix multiplication\u003c\/p\u003e \u003cp\u003e5.5 Determinants and inverses\u003c\/p\u003e \u003cp\u003e5.6 Matrix algebra\u003c\/p\u003e \u003cp\u003e5.7 Matrix equations\u003c\/p\u003e \u003cp\u003e5.8 Review\u003c\/p\u003e \u003cp\u003e6 Complex numbers\u003c\/p\u003e \u003cp\u003e6.1 Overview\u003c\/p\u003e \u003cp\u003e6.2 Introduction to complex numbers\u003c\/p\u003e \u003cp\u003e6.3 Basic operations on complex numbers\u003c\/p\u003e \u003cp\u003e6.4 Complex conjugates and division of complex numbers\u003c\/p\u003e \u003cp\u003e6.5 The complex plane (the Argand plane)\u003c\/p\u003e \u003cp\u003e6.6 Conjugates and multiplication in the complex plane\u003c\/p\u003e \u003cp\u003e6.7 Review\u003c\/p\u003e \u003cp\u003e7 Complex arithmetic and algebra\u003c\/p\u003e \u003cp\u003e7.1 Overview\u003c\/p\u003e \u003cp\u003e7.2 Complex numbers in polar form\u003c\/p\u003e \u003cp\u003e7.3 Operations on complex numbers in polar form\u003c\/p\u003e \u003cp\u003e7.4 Geometric interpretations of multiplication and division of complex numbers in polar form\u003c\/p\u003e \u003cp\u003e7.5 Subsets of the complex plane\u003c\/p\u003e \u003cp\u003e7.6 Roots of equations\u003c\/p\u003e \u003cp\u003e7.7 Review\u003c\/p\u003e \u003cp\u003e8 Circle and geometric proofs\u003c\/p\u003e \u003cp\u003e8.1 Overview\u003c\/p\u003e \u003cp\u003e8.2 Congruent triangles and angle relationships\u003c\/p\u003e \u003cp\u003e8.3 Circle properties 1 - angles in a circle and chords\u003c\/p\u003e \u003cp\u003e8.4 Circle properties 2 - tangents, secants and segments\u003c\/p\u003e \u003cp\u003e8.5 Circle properties 3 - cyclic quadrilaterals\u003c\/p\u003e \u003cp\u003e8.6 Geometric proofs using vectors\u003c\/p\u003e \u003cp\u003e8.7 Review\u003c\/p\u003e \u003cp\u003e9 Trigonometry and functions\u003c\/p\u003e \u003cp\u003e9.1 Overview\u003c\/p\u003e \u003cp\u003e9.2 Sketching graphs\u003c\/p\u003e \u003cp\u003e9.3 Reciprocal trigonometric functions\u003c\/p\u003e \u003cp\u003e9.4 Pythagorean identities\u003c\/p\u003e \u003cp\u003e9.5 Compound angle identities\u003c\/p\u003e \u003cp\u003e9.6 Product identities\u003c\/p\u003e \u003cp\u003e9.7 Applications of trigonometric identities\u003c\/p\u003e \u003cp\u003e9.8 Review\u003c\/p\u003e \u003cp\u003e10 Matrices and transformations\u003c\/p\u003e \u003cp\u003e10.1 Overview\u003c\/p\u003e \u003cp\u003e10.2 Translations\u003c\/p\u003e \u003cp\u003e10.3 Reflections and rotations\u003c\/p\u003e \u003cp\u003e10.4 Dilations\u003c\/p\u003e \u003cp\u003e10.5 Combinations of transformations\u003c\/p\u003e \u003cp\u003e10.6 Review\u003c\/p\u003e","brand":"Jacaranda","offers":[{"title":"Specialist Mathematics","offer_id":53558771286289,"sku":"9781394269792","price":90.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0786\/7786\/8817\/files\/9781394269792.jpg?v=1778750971"},{"product_id":"jacaranda-maths-quest-12-essential-mathematics-units-34-for-queensland-second-edition-learnon-print","title":"Jacaranda Maths Quest 12 Essential Mathematics Units 3\u00264 for Queensland Second Edition (learnON \u0026 Print)","description":"\u003cp\u003eThe Jacaranda Maths Quest for Queensland series has been entirely updated for the revised Queensland Senior Syllabus. Created by experienced Queensland teachers, the new Maths Quest for Queensland series provides all the tools to help your students progress and achieve success.\u003c\/p\u003e \u003cp\u003eAvailable now in learnON, Australia’s most powerful online learning platform, which brings trusted Jacaranda content to life.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eVisible learning and accessibility \u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eEach lesson is mapped directly to the revised Queensland Senior Syllabus, ensuring 100% coverage for teachers.\u003c\/li\u003e \u003cli\u003eLessons clearly labelled [complex] to differentiate complex content from the revised Queensland Senior Syllabus.\u003c\/li\u003e \u003cli\u003eEach lesson is scaffolded using three question types  -  simple familiar, complex familiar and complex unfamiliar  -  to prepare students for assessment.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eUnparalleled assessment support\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eStudents access chapter summaries as well as review exercises and unit reviews, each with sample responses.\u003c\/li\u003e \u003cli\u003eStudents access auto-marked quick quizzes in every lesson with fully worked solutions.\u003c\/li\u003e \u003cli\u003eA custom test‑builder can be filtered by unit, differentiation and question type.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eStep-by-step approach to problem-solving and modelling tasks\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eNEW! Practical student guide, stepping them through how to approach and complete problem-solving and modelling tasks.\u003c\/li\u003e \u003cli\u003eBank of quarantined assessment tasks, including teaching advice to assist teachers to create quality problem‑solving and modelling tasks.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eMore than a textbook\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003elearnON is everything you need to prepare and deliver effective lessons in one place.\u003c\/p\u003e \u003cul\u003e \u003cli\u003eEngage students with a multimodal learning experience, including videos and interactivities.\u003c\/li\u003e \u003cli\u003eSave time assessing, with ready-made auto-marked question sets, chapter tests and practice assessments with sample responses.\u003c\/li\u003e \u003cli\u003eIdentify and act on areas of weakness early, with instant reports and learning data.\u003c\/li\u003e \u003cli\u003eEdit the course content to customise student learning and reduce cognitive load.\u003c\/li\u003e \u003c\/ul\u003e\u003ch3\u003eTable of Contents\u003c\/h3\u003e\u003cp\u003eLearning with learnON  vii\u003cbr\u003eTeaching with Learnon xiii\u003cbr\u003eAcknowledgements xiv\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit 3 Measurement, Scales And Chance 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic Fundamental Topic\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Calculations 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 4\u003cbr\u003e1.2 Number operations 5\u003cbr\u003e1.3 Order of operations and reasonableness 15\u003cbr\u003e1.4 Estimation 21\u003cbr\u003e1.5 Decimal significance 26\u003cbr\u003e1.6 Calculator skills 32\u003cbr\u003e1.7 Approximation 36\u003cbr\u003e1.8 Review 43\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 1 Measurement\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Geometry 51\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 52\u003cbr\u003e2.2 Review of angles 53\u003cbr\u003e2.3 Two-dimensional geometric shapes 63\u003cbr\u003e2.4 Three-dimensional objects 76\u003cbr\u003e2.5 Two-dimensional representations of three-dimensional objects [complex] 82\u003cbr\u003e2.6 Review 92\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Linear and area measure 101\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 102\u003cbr\u003e3.2 Units of length and estimation 104\u003cbr\u003e3.3 Perimeters of familiar and composite shapes 109\u003cbr\u003e3.4 Units of area and estimation 119\u003cbr\u003e3.5 Areas of standard shapes 125\u003cbr\u003e3.6 Areas of composite figures [complex] 133\u003cbr\u003e3.7 Surface areas of prisms and cylinders [complex] 140\u003cbr\u003e3.8 Surface areas of pyramids and cones [complex] 145\u003cbr\u003e3.9 Surface areas of composite shapes and spheres [complex] 150\u003cbr\u003e3.10 Review 155\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Volume, capacity, time and mass 163\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 164\u003cbr\u003e4.2 Units of volume and capacity 166\u003cbr\u003e4.3 Volumes and capacities of prisms and cylinders 172\u003cbr\u003e4.4 Volumes and capacities of pyramids and cones 180\u003cbr\u003e4.5 Volumes and capacities of composite shapes and spheres [complex] 186\u003cbr\u003e4.6 Units of time 192\u003cbr\u003e4.7 Units of mass 199\u003cbr\u003e4.8 Review 205\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 2 Scales, Plans and Models\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Interpreting and creating scale drawings 213\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 214\u003cbr\u003e5.2 Reading and interpreting scale drawings 215\u003cbr\u003e5.3 Calculating, costing and comparing using measurements from scale drawings 220\u003cbr\u003e5.4 Creating scale drawings [complex] 230\u003cbr\u003e5.5 Review 239\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Right-angled triangles 247\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 248\u003cbr\u003e6.2 Pythagoras’ theorem 250\u003cbr\u003e6.3 Trigonometric ratios  -  sine, cosine and tangent 256\u003cbr\u003e6.4 Calculating unknown side lengths of right-angled triangles [complex] 263\u003cbr\u003e6.5 Calculating unknown angles in right-angled triangles [complex] 272\u003cbr\u003e6.6 Angles of elevation and depression [complex] 278\u003cbr\u003e6.7 Review 285\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 3 Probability and Relative Frequencies\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Simulations and simple probabilities 293\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 294\u003cbr\u003e7.2 Theoretical probability and sample spaces 295\u003cbr\u003e7.3 Multi-stage experiments (arrays and tree diagrams) 303\u003cbr\u003e7.4 Relative frequency and simulations 311\u003cbr\u003e7.5 Review 322\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePractice Assessment\u003c\/b\u003e 1\u003cbr\u003eUnit 3 Problem-solving and modelling task\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePRACTICE ASSESSMENT 2 \u003cbr\u003e\u003c\/b\u003eUnit 3 Practice examination\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit 4 Graphs, Data and Loans 333\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 1 Bivariate Graphs\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Cartesian plane 335\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 336\u003cbr\u003e8.2 Plotting points on a Cartesian plane 337\u003cbr\u003e8.3 Generating tables of values for linear functions 341\u003cbr\u003e8.4 Graphing linear functions 348\u003cbr\u003e8.5 Review 360\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Bivariate scatterplots and lines of best fit 371\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 372\u003cbr\u003e9.2 Interpreting scatterplots 373\u003cbr\u003e9.3 The line of best fit 383\u003cbr\u003e9.4 Making predictions using a line of best fit [complex] 396\u003cbr\u003e9.5 Causality and correlation [complex] 407\u003cbr\u003e9.6 Review 414\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 2 Summarising and Comparing Data\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Summarising and interpreting data 429\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 430\u003cbr\u003e10.2 Measures of central tendency and mode 431\u003cbr\u003e10.3 Measures of spread 444\u003cbr\u003e10.4 Outliers [complex] 460\u003cbr\u003e10.5 Applications of measures of centre and spread [complex] 468\u003cbr\u003e10.6 Review 475\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Comparing datasets 485\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 486\u003cbr\u003e11.2 Constructing box plots 487\u003cbr\u003e11.3 Comparing parallel box plots [complex] 494\u003cbr\u003e11.4 Comparing back-to-back stem plots [complex] 500\u003cbr\u003e11.5 Comparing histograms [complex] 508\u003cbr\u003e11.6 Review 521\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTOPIC 3 LOANS AND COMPOUND INTEREST\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Compound interest 541\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Overview 542\u003cbr\u003e12.2 Simple interest 543\u003cbr\u003e12.3 Using formulas to calculate the future value 555\u003cbr\u003e12.4 Using technology to determine the future value of compound investments or loans 559\u003cbr\u003e12.5 Comparing simple and compound interest [complex] 569\u003cbr\u003e12.6 Review 582\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Reducing balance loans 591\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Overview 592\u003cbr\u003e13.2 Modelling reducing balance loans with technology 593\u003cbr\u003e13.3 The effect of repayment amounts, the interest rate and compounding periods on reducing balance loans [complex] 601\u003cbr\u003e13.4 Review 611\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePractice Assessment 3 (online only)\u003cbr\u003e\u003c\/b\u003eUnit 4 Problem-solving and modelling task\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePractice Assessment 4 (online only)\u003cbr\u003e\u003c\/b\u003eUnit 4 Practice examination\u003c\/p\u003e \u003cp\u003eGlossary (online only)\u003c\/p\u003e","brand":"Jacaranda","offers":[{"title":"Essential Mathematics","offer_id":53558771384593,"sku":"9781394317561","price":90.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0786\/7786\/8817\/files\/9781394317561.jpg?v=1778750976"},{"product_id":"jacaranda-maths-quest-12-general-mathematics-units-34-for-queensland-second-edition-learnon-print","title":"Jacaranda Maths Quest 12 General Mathematics Units 3\u00264 for Queensland Second Edition (learnON \u0026 Print)","description":"\u003cp\u003eThe Jacaranda Maths Quest for Queensland series has been entirely updated for the revised Queensland Senior Syllabus. Created by experienced Queensland teachers, the new Maths Quest for Queensland series provides all the tools to help your students progress and achieve success.\u003c\/p\u003e \u003cp\u003eAvailable now in learnON, Australia's most powerful online learning platform, which brings trusted Jacaranda content to life.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eVisible learning and accessibility\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eEach lesson is mapped directly to the revised Queensland Senior Syllabus, ensuring 100% coverage for teachers.\u003c\/li\u003e \u003cli\u003eLessons clearly labelled [complex] to differentiate complex content from the revised Queensland Senior Syllabus.\u003c\/li\u003e \u003cli\u003eEach lesson is scaffolded using three question types  -  simple familiar, complex familiar and complex unfamiliar  -  to prepare students for assessment.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eUnparalleled assessment support\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eStudents access chapter summaries as well as review exercises and unit reviews, each with sample responses.\u003c\/li\u003e \u003cli\u003eStudents access auto-marked quick quizzes in every lesson with fully worked solutions.\u003c\/li\u003e \u003cli\u003eA custom test‑builder can be filtered by unit, differentiation and question type.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eStep-by-step approach to problem-solving and modelling tasks\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eNEW! Practical student guide, stepping them through how to approach and complete problem-solving and modelling tasks.\u003c\/li\u003e \u003cli\u003eBank of quarantined assessment tasks, including teaching advice to assist teachers to create quality problem‑solving and modelling tasks.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eMore than a textbook\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003elearnON is everything you need to prepare and deliver effective lessons in one place.\u003c\/p\u003e \u003cul\u003e \u003cli\u003eEngage students with a multimodal learning experience, including videos and interactivities.\u003c\/li\u003e \u003cli\u003eSave time assessing, with ready-made auto-marked question sets, chapter tests and practice assessments with sample responses.\u003c\/li\u003e \u003cli\u003eIdentify and act on areas of weakness early, with instant reports and learning data.\u003c\/li\u003e \u003cli\u003eEdit the course content to customise student learning and reduce cognitive load.\u003c\/li\u003e \u003c\/ul\u003e\u003ch3\u003eTable of Contents\u003c\/h3\u003e\u003cp\u003eThe new jacTUTOR vi\u003cbr\u003eLearning with learnON vii\u003cbr\u003eTeaching with learnON xii\u003cbr\u003eAcknowledgements xiii\u003cbr\u003eProblem-solving and modelling task guide (online only)\u003c\/p\u003e \u003cp\u003eUNIT 3 BIVARIATE DATA AND TIME SERIES ANALYSIS, SEQUENCES AND\u003c\/p\u003e \u003cp\u003eEARTH GEOMETRY 1\u003c\/p\u003e \u003cp\u003eTOPIC 1 BIVARIATE DATA ANALYSIS 1\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Identifying and describing associations between two variables 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTOPIC 2 BIVARIATE DATA ANALYSIS 2\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Fitting a linear model to numerical data, and association and causation 45\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTOPIC 3 TIME SERIES ANALYSIS\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Time series analysis 93\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTOPIC 4 GROWTH AND DECAY IN SEQUENCES\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 The arithmetic sequence 163\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 The geometric sequence 199\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTOPIC 5 EARTH GEOMETRY AND TIME ZONES\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Earth geometry and time zones 231\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003ePRACTICE ASSESSMENT 1\u003c\/p\u003e \u003cp\u003eProblem-solving and modelling task (online only)\u003c\/p\u003e \u003cp\u003ePRACTICE ASSESSMENT 2\u003c\/p\u003e \u003cp\u003eUnit 3 Examination\u003c\/p\u003e \u003cp\u003eUNIT 4 INVESTING AND NETWORKING 267\u003c\/p\u003e \u003cp\u003eTOPIC 1 LOANS, INVESTMENTS AND ANNUITIES 1\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Compound interest loans and investments 269\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTOPIC 1 LOANS, INVESTMENTS AND ANNUITIES 1\u003c\/p\u003e \u003cp\u003eTOPIC 2 LOANS, INVESTMENTS AND ANNUITIES 2\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Perpetuities, and present and future value of annuities 297\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTOPIC 3 GRAPHS AND NETWORKS\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Graphs and networks 339\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTOPIC 4 NETWORKS AND DECISION MATHEMATICS 1\u003c\/p\u003e \u003cp\u003eTOPIC 5 NETWORKS AND DECISION MATHEMATICS 2\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Networks and decision mathematics 397\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003ePRACTICE ASSESSMENT 3\u003cbr\u003eUnit 4 Examination\u003c\/p\u003e \u003cp\u003ePRACTICE ASSESSMENT 4\u003cbr\u003eUnits 3 \u0026amp; 4 Examination\u003c\/p\u003e \u003cp\u003eGlossary (online only)\u003c\/p\u003e","brand":"Jacaranda","offers":[{"title":"General Mathematics","offer_id":53558771417361,"sku":"9781394317639","price":90.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0786\/7786\/8817\/files\/9781394317639.jpg?v=1778750978"},{"product_id":"jacaranda-maths-quest-12-mathematical-methods-units-34-for-queensland-second-edition-learnon-print","title":"Jacaranda Maths Quest 12 Mathematical Methods Units 3\u00264 for Queensland Second Edition (learnON \u0026 Print)","description":"\u003cp\u003eThe Jacaranda Maths Quest for Queensland series has been entirely updated for the revised Queensland Senior Syllabus. Created by experienced Queensland teachers, the new Maths Quest for Queensland series provides all the tools to help your students progress and achieve success.\u003c\/p\u003e \u003cp\u003eAvailable now in learnON, Australia's most powerful online learning platform, which brings trusted Jacaranda content to life.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eVisible learning and accessibility\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eEach lesson is mapped directly to the revised Queensland Senior Syllabus, ensuring 100% coverage for teachers.\u003c\/li\u003e \u003cli\u003eLessons clearly labelled [complex] to differentiate complex content from the revised Queensland Senior Syllabus.\u003c\/li\u003e \u003cli\u003eEach lesson is scaffolded using three question types  -  simple familiar, complex familiar and complex unfamiliar  -  to prepare students for assessment.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eUnparalleled assessment support\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eStudents access chapter summaries as well as review exercises and unit reviews, each with sample responses.\u003c\/li\u003e \u003cli\u003eStudents access auto-marked quick quizzes in every lesson with fully worked solutions.\u003c\/li\u003e \u003cli\u003eA custom test‑builder can be filtered by unit, differentiation and question type.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eStep-by-step approach to problem-solving and modelling tasks\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eNEW! Practical student guide, stepping them through how to approach and complete problem-solving and modelling tasks.\u003c\/li\u003e \u003cli\u003eBank of quarantined assessment tasks, including teaching advice to assist teachers to create quality problem‑solving and modelling tasks.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eMore than a textbook\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003elearnON is everything you need to prepare and deliver effective lessons in one place.\u003c\/p\u003e \u003cul\u003e \u003cli\u003eEngage students with a multimodal learning experience, including videos and interactivities.\u003c\/li\u003e \u003cli\u003eSave time assessing, with ready-made auto-marked question sets, chapter tests and practice assessments with sample responses.\u003c\/li\u003e \u003cli\u003eIdentify and act on areas of weakness early, with instant reports and learning data.\u003c\/li\u003e \u003cli\u003eEdit the course content to customise student learning and reduce cognitive load.\u003c\/li\u003e \u003c\/ul\u003e\u003ch3\u003eTable of Contents\u003c\/h3\u003e\u003cp\u003eLearning with Learnon ix\u003cbr\u003eTeaching with learnON xv\u003cbr\u003eAcknowledgements xvi\u003cbr\u003eProblem-solving and modelling task guide\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit 3 Further Calculus and Introduction to Statistics 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTopic 1 Differentiation of Exponential and Logarithmic Functions\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Calculus of exponential and logarithmic functions 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 4\u003cbr\u003e1.2 Limits 5\u003cbr\u003e1.3 The exponential function 11\u003cbr\u003e1.4 Differentiation of exponential functions 20\u003cbr\u003e1.5 The logarithmic function 25\u003cbr\u003e1.6 Solving equations 34\u003cbr\u003e1.7 Differentiation of logarithmic functions 39\u003cbr\u003e1.8 Modelling and solving with exponential and logarithmic functions 44\u003cbr\u003e1.9 Review 56\u003c\/p\u003e \u003cp\u003eTopic 2 Differentiation of Trigonometric Functions and Differentiation Rules\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Calculus of trigonometric functions 71\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 72\u003cbr\u003e2.2 Review of the unit circle 73\u003cbr\u003e2.3 Review of the trigonometric functions 87\u003cbr\u003e2.4 Differentiation of trigonometric functions 97\u003cbr\u003e2.5 Modelling and solving with trigonometric functions 104\u003cbr\u003e2.6 Review 116\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Differentiation rules 129\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 130\u003cbr\u003e3.2 The chain rule 131\u003cbr\u003e3.3 The product rule 139\u003cbr\u003e3.4 The quotient rule 144\u003cbr\u003e3.5 Modelling and solving using the differentiation rules 150\u003cbr\u003e3.6 Review 166\u003c\/p\u003e \u003cp\u003eTopic 3 Further Applications of Differentiation\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 The second derivative and applications of differentiation 177\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 178\u003cbr\u003e4.2 Second derivatives 179\u003cbr\u003e4.3 Concavity and points of inflection 185\u003cbr\u003e4.4 Curve sketching 191\u003cbr\u003e4.5 Modelling and solving optimisation problems 201\u003cbr\u003e4.6 Review 208\u003c\/p\u003e \u003cp\u003eTopic 4 Introduction to Integration\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Anti-differentiation 219\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 220\u003cbr\u003e5.2 Anti-differentiation of rational functions 221\u003cbr\u003e5.3 Anti-differentiation of exponential functions 228\u003cbr\u003e5.4 Anti-differentiation of logarithmic functions 232\u003cbr\u003e5.5 Anti-differentiation of trigonometric functions 236\u003cbr\u003e5.6 Further integration 240\u003cbr\u003e5.7 Modelling and solving using indefinite integrals 247\u003cbr\u003e5.8 Review 255\u003c\/p\u003e \u003cp\u003eTopic 5 Discrete Random Variables\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 General discrete random variables 265\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 266\u003cbr\u003e6.2 Discrete random variables 267\u003cbr\u003e6.3 Expected values 279\u003cbr\u003e6.4 Variance and standard deviation 289\u003cbr\u003e6.5 Modelling and solving with discrete random variables 298\u003cbr\u003e6.6 Review 304\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Bernoulli and binomial distributions 315\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 316\u003cbr\u003e7.2 Bernoulli distributions 317\u003cbr\u003e7.3 Binomial distributions 323\u003cbr\u003e7.4 The mean and variance of a binomial distribution 333\u003cbr\u003e7.5 Modelling and solving with Bernoulli and binomial distributions 337\u003cbr\u003e7.6 Review 342\u003c\/p\u003e \u003cp\u003ePractice Assessment 1\u003cbr\u003eProblem-solving and modelling task\u003c\/p\u003e \u003cp\u003ePractice Assessment 2\u003cbr\u003eUnit 3 Examination\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit 4 Further Calculus, Trigonometry and Statistics 349\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTopic 1 Further Integration\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Further integration 351\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 352\u003cbr\u003e8.2 Estimating the area under a curve 353\u003cbr\u003e8.3 The fundamental theorem of calculus 365\u003cbr\u003e8.4 Areas under a curve 374\u003cbr\u003e8.5 Areas between curves 385\u003cbr\u003e8.6 Modelling and solving with definite integrals 395\u003cbr\u003e8.7 Review 408\u003c\/p\u003e \u003cp\u003eTopic 2 Trigonometry\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Cosine and sine rules 421\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 422\u003cbr\u003e9.2 The sine rule 423\u003cbr\u003e9.3 The cosine rule 432\u003cbr\u003e9.4 Area of a triangle 440\u003cbr\u003e9.5 Modelling and solving with the sine and cosine rules 445\u003cbr\u003e9.6 Review 453\u003c\/p\u003e \u003cp\u003eTopic 3 Continuous Random Variables and the Normal Distribution\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 General continuous random variables 461\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 462\u003cbr\u003e10.2 Continuous random variables and the probability density function 463\u003cbr\u003e10.3 Cumulative distribution functions 479\u003cbr\u003e10.4 Measures of centre and spread 490\u003cbr\u003e10.5 Review 499\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Normal distributions 511\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 512\u003cbr\u003e11.2 The normal distribution 513\u003cbr\u003e11.3 Standardised normal variables 521\u003cbr\u003e11.4 The inverse normal distribution 526\u003cbr\u003e11.5 Modelling and solving with normal distributions 531\u003cbr\u003e1.6 Review 538\u003c\/p\u003e \u003cp\u003eTopic 4 Sampling and Proportions\u003c\/p\u003e \u003cp\u003eTopic 5 Interval Estimates for Proportions\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Sampling, 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for Queensland Second Edition (learnON \u0026 Print)","description":"\u003cp\u003eThe Jacaranda Maths Quest for Queensland series has been entirely updated for the revised Queensland Senior Syllabus. Created by experienced Queensland teachers, the new Maths Quest for Queensland series provides all the tools to help your students progress and achieve success.\u003c\/p\u003e \u003cp\u003eAvailable now in learnON, Australia's most powerful online learning platform, which brings trusted Jacaranda content to life.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eVisible learning and accessibility\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eEach lesson is mapped directly to the revised Queensland Senior Syllabus, ensuring 100% coverage for teachers.\u003c\/li\u003e \u003cli\u003eLessons clearly labelled [complex] to differentiate complex content from the revised Queensland Senior Syllabus.\u003c\/li\u003e \u003cli\u003eEach lesson is scaffolded using three question types  -  simple familiar, complex familiar and complex unfamiliar  -  to prepare students for assessment.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eUnparalleled assessment support\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eStudents access chapter summaries as well as review exercises and unit reviews, each with sample responses.\u003c\/li\u003e \u003cli\u003eStudents access auto-marked quick quizzes in every lesson with fully worked solutions.\u003c\/li\u003e \u003cli\u003eA custom test‑builder can be filtered by unit, differentiation and question type.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eStep-by-step approach to problem-solving and modelling tasks\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eNEW! Practical student guide, stepping them through how to approach and complete problem-solving and modelling tasks.\u003c\/li\u003e \u003cli\u003eBank of quarantined assessment tasks, including teaching advice to assist teachers to create quality problem‑solving and modelling tasks.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eMore than a textbook\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003elearnON is everything you need to prepare and deliver effective lessons in one place.\u003c\/p\u003e \u003cul\u003e \u003cli\u003eEngage students with a multimodal learning experience, including videos and interactivities.\u003c\/li\u003e \u003cli\u003eSave time assessing, with ready-made auto-marked question sets, chapter tests and practice assessments with sample responses.\u003c\/li\u003e \u003cli\u003eIdentify and act on areas of weakness early, with instant reports and learning data.\u003c\/li\u003e \u003cli\u003eEdit the course content to customise student learning and reduce cognitive load.\u003c\/li\u003e \u003c\/ul\u003e\u003ch3\u003eTable of Contents\u003c\/h3\u003e\u003cp\u003eLearning with learnON ix\u003cbr\u003eTeaching with learnON xv\u003cbr\u003eAcknowledgements xvi\u003c\/p\u003e \u003cp\u003eProblem-solving and modelling task guide\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit 3 Further Complex Numbers, Proof, Vectors and Matrices 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTopic 1 Further Complex Numbers\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Further complex numbers 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Mathematical induction and trigonometric proofs 69\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 70\u003cbr\u003e2.2 Proof by induction 71\u003cbr\u003e2.3 Proofs of divisibility 85\u003cbr\u003e2.4 Trigonometric proofs using De Moivre’s theorem 88\u003cbr\u003e2.5 Review 96\u003cbr\u003eAnswers 99\u003c\/p\u003e \u003cp\u003eTOPIC 3 VECTORS IN Two AND Three DIMENSIONS\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Vectors in two and three dimensions 101\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 102\u003cbr\u003e3.2 Vectors in three dimensions 104\u003cbr\u003e3.3 Algebra of three dimensional vectors 120\u003cbr\u003e3.4 Geometric proofs using vectors 130\u003cbr\u003e3.5 Vector, parametric and Cartesian equations 142\u003cbr\u003e3.6 The vector (cross) product 164\u003cbr\u003e3.7 Applications of vectors 179\u003cbr\u003e3.8 Review 194\u003cbr\u003eAnswers 198\u003c\/p\u003e \u003cp\u003eTopic 4 Vector Calculus\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Vector calculus 203\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 204\u003cbr\u003e4.2 Position vectors as functions of time  -  circles, ellipses and hyperbolas 205\u003cbr\u003e4.3 Collision problems 221\u003cbr\u003e4.4 Differentiation and integration of vectors 231\u003cbr\u003e4.5 Straight line motion with constant and variable acceleration 247\u003cbr\u003e4.6 Applications of vector calculus 258\u003cbr\u003e4.6 Review 278\u003cbr\u003eAnswers 283\u003c\/p\u003e \u003cp\u003eTopic 5 Further Matrices\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Further matrices 291\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 292\u003cbr\u003e5.2 Solving linear equations using matrix algebra 294\u003cbr\u003e5.3 Solving a system of linear equations using Gaussian elimination 315\u003cbr\u003e5.4 The three cases for solutions of systems of linear equations 323\u003cbr\u003e5.5 Dominance and Leslie matrices 347\u003cbr\u003e5.6 Applications of matrices 357\u003cbr\u003e5.7 Review 377\u003cbr\u003eAnswers 383\u003c\/p\u003e \u003cp\u003ePractice Assessment 1\u003cbr\u003eProblem-solving and Modelling Task\u003c\/p\u003e \u003cp\u003ePractice Assessment 2\u003cbr\u003eUnit 3 Examination\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit 4 Further Calculus and Statistical Inference 389\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTopic 1 Integration Techniques\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Integration techniques 391\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 392\u003cbr\u003e6.2 Integration by linear substitution 394\u003cbr\u003e6.3 Integration by non-linear substitutions 406\u003cbr\u003e6.4 Integration using the trigonometric identities 415\u003cbr\u003e6.5 Integration of inverse trigonometric functions 428\u003cbr\u003e6.6 Integration by parts 450\u003cbr\u003e6.7 Integration involving partial fractions 457\u003cbr\u003e6.8 Review 466\u003cbr\u003eAnswers 470\u003c\/p\u003e \u003cp\u003eTopic 2 Applications of Integral Calculus\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Applications of integral calculus 477\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 478\u003cbr\u003e7.2 Area between a function and the axes 480\u003cbr\u003e7.3 Area between functions 489\u003cbr\u003e7.4 Volumes of solids of revolution 502\u003cbr\u003e7.5 Volumes of revolution 512\u003cbr\u003e7.6 Approximation using Simpson’s rule 524\u003cbr\u003e7.7 Exponential probability density function 535\u003cbr\u003e7.8 Review 542\u003cbr\u003eAnswers 546\u003c\/p\u003e \u003cp\u003eTopic 3 Rates of Change and Differential Equations\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Rates of change and differential equations 551\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 552\u003cbr\u003e8.2 Implicit differentiation 554\u003cbr\u003e8.3 Related rates as instances of the chain rule 563\u003cbr\u003e8.4 Solving differential equations of the form dy\/dx = f(x)\u003cbr\u003e8.5 Solving differential equations of the form dy\/dx = g(y)\u003cbr\u003e8.6 Solving differential equations of the form dy\/dx = f(x)g(y)\u003cbr\u003e8.7 Slope fields 594\u003cbr\u003e8.8 Review 608\u003cbr\u003eAnswers 614\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Applications of first-order differential equations 621\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 622\u003cbr\u003e9.2 Growth and decay 623\u003cbr\u003e9.3 Other applications of first-order differential equations 634\u003cbr\u003e9.4 Bounded growth and Newton’s law of cooling 641\u003cbr\u003e9.5 Chemical reactions and dilution problems 648\u003cbr\u003e9.6 The logistic equation 659\u003cbr\u003e9.7 Review 672\u003cbr\u003eAnswers 678\u003c\/p\u003e \u003cp\u003eTopic 4 Modelling Motion\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Modelling motion 683\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 684\u003cbr\u003e10.2 Equilibrium situations under concurrent forces 686\u003cbr\u003e10.3 Non-equilibrium situations under concurrent forces 705\u003cbr\u003e10.4 Forces that depend on time 714\u003cbr\u003e10.5 Forces that depend on velocity 726\u003cbr\u003e10.6 Forces that depend on displacement 744\u003cbr\u003e10.7 Review 760\u003cbr\u003eAnswers 764\u003c\/p\u003e \u003cp\u003eTopic 5 Statistical Inference\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Statistical inference 767\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 768\u003cbr\u003e11.2 Sampling distributions 770\u003cbr\u003e11.3 Confidence intervals 785\u003cbr\u003e11.4 Margin of error, level of confidence and sample size 795\u003cbr\u003e11.5 Applications and other distributions 801\u003cbr\u003e11.6 Review 817\u003cbr\u003eAnswers 823\u003c\/p\u003e \u003cp\u003ePractice Assessment 3\u003cbr\u003eUnit 4 Examination\u003c\/p\u003e \u003cp\u003ePractice Assessment 4\u003cbr\u003eUnits 3 \u0026amp; 4 Examination\u003c\/p\u003e \u003cp\u003eGlossary (online only)\u003c\/p\u003e","brand":"Jacaranda","offers":[{"title":"Specialist Mathematics","offer_id":53558771679505,"sku":"9781394317776","price":90.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0786\/7786\/8817\/files\/9781394317776.jpg?v=1778750983"}],"url":"https:\/\/www.teachersuperstore.com.au\/collections\/maths-quest-for-queensland.oembed","provider":"Teacher Superstore","version":"1.0","type":"link"}