{"product_id":"jacaranda-maths-quest-11-mathematical-methods-units-1-and-2-for-queensland-2e-learnon-print","title":"Jacaranda Maths Quest 11 Mathematical Methods Units 1 and 2 for Queensland, 2e learnON \u0026 Print","description":"\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 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