{"product_id":"jacaranda-maths-quest-12-specialist-mathematics-units-34-for-queensland-second-edition-learnon-print","title":"Jacaranda Maths Quest 12 Specialist 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 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\/products\/jacaranda-maths-quest-12-specialist-mathematics-units-34-for-queensland-second-edition-learnon-print","provider":"Teacher 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