{"product_id":"jacaranda-maths-quest-1010a-australian-curriculum-learnon-and-print","title":"Jacaranda Maths Quest 10+10A Australian Curriculum, learnON and Print","description":"\u003cp\u003eAbout this resource vi\u003c\/p\u003e \u003cp\u003eAcknowledgements xii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Indices, surds and logarithms 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 2\u003c\/p\u003e \u003cp\u003e1.2 Number classification review 4\u003c\/p\u003e \u003cp\u003e1.3 Surds (10A) 9\u003c\/p\u003e \u003cp\u003e1.4 Operations with surds (10A) 14\u003c\/p\u003e \u003cp\u003e1.5 Review of index laws 28\u003c\/p\u003e \u003cp\u003e1.6 Negative indices 35\u003c\/p\u003e \u003cp\u003e1.7 Fractional indices (10A) 40\u003c\/p\u003e \u003cp\u003e1.8 Combining index laws 47\u003c\/p\u003e \u003cp\u003e1.9 Application of indices: Compound interest 53\u003c\/p\u003e \u003cp\u003e1.10 Logarithms (10A) 60\u003c\/p\u003e \u003cp\u003e1.11 Logarithm laws (10A) 66\u003c\/p\u003e \u003cp\u003e1.12 Solving equations (10A) 73\u003c\/p\u003e \u003cp\u003e1.13 Review 79\u003c\/p\u003e \u003cp\u003eAnswers 91\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Algebra and equations 99\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 100\u003c\/p\u003e \u003cp\u003e2.2 Substitution 102\u003c\/p\u003e \u003cp\u003e2.3 Adding and subtracting algebraic fractions 109\u003c\/p\u003e \u003cp\u003e2.4 Multiplying and dividing algebraic fractions 114\u003c\/p\u003e \u003cp\u003e2.5 Solving simple equations 119\u003c\/p\u003e \u003cp\u003e2.6 Solving multi-step equations 126\u003c\/p\u003e \u003cp\u003e2.7 Literal equations 132\u003c\/p\u003e \u003cp\u003e2.8 Review 138\u003c\/p\u003e \u003cp\u003eAnswers 144\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Coordinate geometry 149\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 150\u003c\/p\u003e \u003cp\u003e3.2 Sketching linear graphs 152\u003c\/p\u003e \u003cp\u003e3.3 Determining linear equations 163\u003c\/p\u003e \u003cp\u003e3.4 Parallel and perpendicular lines 173\u003c\/p\u003e \u003cp\u003e3.5 The distance between two points 178\u003c\/p\u003e \u003cp\u003e3.6 The midpoint of a line segment 182\u003c\/p\u003e \u003cp\u003e3.7 Applications and collinearity 187\u003c\/p\u003e \u003cp\u003e3.8 Review 194\u003c\/p\u003e \u003cp\u003eAnswers 204\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Simultaneous linear equations and inequalities 215\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 216\u003c\/p\u003e \u003cp\u003e4.2 Graphical solution of simultaneous linear equations 220\u003c\/p\u003e \u003cp\u003e4.3 Solving simultaneous linear equations using substitution 229\u003c\/p\u003e \u003cp\u003e4.4 Solving simultaneous linear equations using elimination 234\u003c\/p\u003e \u003cp\u003e4.5 Applications of simultaneous linear equations 240\u003c\/p\u003e \u003cp\u003e4.6 Solving simultaneous linear and non-linear equations 246\u003c\/p\u003e \u003cp\u003e4.7 Solving linear inequalities 256\u003c\/p\u003e \u003cp\u003e4.8 Inequalities on the Cartesian plane 262\u003c\/p\u003e \u003cp\u003e4.9 Solving simultaneous linear inequalities 271\u003c\/p\u003e \u003cp\u003e4.10 Review 278\u003c\/p\u003e \u003cp\u003eAnswers 288\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Trigonometry I 301\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 302\u003c\/p\u003e \u003cp\u003e5.2 Pythagoras’ theorem 305\u003c\/p\u003e \u003cp\u003e5.3 Pythagoras’ theorem in three dimensions (10A) 314\u003c\/p\u003e \u003cp\u003e5.4 Trigonometric ratios 320\u003c\/p\u003e \u003cp\u003e5.5 Using trigonometry to calculate side lengths 327\u003c\/p\u003e \u003cp\u003e5.6 Using trigonometry to calculate angle size 332\u003c\/p\u003e \u003cp\u003e5.7 Angles of elevation and depression 338\u003c\/p\u003e \u003cp\u003e5.8 Bearings 343\u003c\/p\u003e \u003cp\u003e5.9 Applications 350\u003c\/p\u003e \u003cp\u003e5.10 Review 356\u003c\/p\u003e \u003cp\u003eAnswers 365\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Surface area and volume 371\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 372\u003c\/p\u003e \u003cp\u003e6.2 Area 376\u003c\/p\u003e \u003cp\u003e6.3 Total surface area 386\u003c\/p\u003e \u003cp\u003e6.4 Volume 397\u003c\/p\u003e \u003cp\u003e6.5 Review 411\u003c\/p\u003e \u003cp\u003eAnswers 420\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Quadratic expressions 423\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 424\u003c\/p\u003e \u003cp\u003e7.2 Expanding algebraic expressions 426\u003c\/p\u003e \u003cp\u003e7.3 Factorising expressions with three terms 434\u003c\/p\u003e \u003cp\u003e7.4 Factorising expressions with two or four terms 439\u003c\/p\u003e \u003cp\u003e7.5 Factorising by completing the square 445\u003c\/p\u003e \u003cp\u003e7.6 Mixed factorisation 451\u003c\/p\u003e \u003cp\u003e7.7 Review 455\u003c\/p\u003e \u003cp\u003eAnswers 462\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Quadratic equations 469\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 470\u003c\/p\u003e \u003cp\u003e8.2 Solving quadratic equations algebraically 472\u003c\/p\u003e \u003cp\u003e8.3 The quadratic formula 481\u003c\/p\u003e \u003cp\u003e8.4 Solving quadratic equations graphically 486\u003c\/p\u003e \u003cp\u003e8.5 The discriminant 495\u003c\/p\u003e \u003cp\u003e8.6 Review 502\u003c\/p\u003e \u003cp\u003eAnswers 511\u003c\/p\u003e \u003cp\u003eSemester review 1 516\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Non-linear relationships 519\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 520\u003c\/p\u003e \u003cp\u003e9.2 Plotting parabolas from a table of values 524\u003c\/p\u003e \u003cp\u003e9.3 Sketching parabolas using transformations 533\u003c\/p\u003e \u003cp\u003e9.4 Sketching parabolas using turning point form 544\u003c\/p\u003e \u003cp\u003e9.5 Sketching parabolas in expanded form 552\u003c\/p\u003e \u003cp\u003e9.6 Exponential graphs 559\u003c\/p\u003e \u003cp\u003e9.7 Inverse proportion 567\u003c\/p\u003e \u003cp\u003e9.8 Sketching the hyperbola 572\u003c\/p\u003e \u003cp\u003e9.9 Sketching the circle 578\u003c\/p\u003e \u003cp\u003e9.10 Review 584\u003c\/p\u003e \u003cp\u003eAnswers 593\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Deductive geometry 617\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 618\u003c\/p\u003e \u003cp\u003e10.2 Angles, triangles and congruence 621\u003c\/p\u003e \u003cp\u003e10.3 Similar triangles 633\u003c\/p\u003e \u003cp\u003e10.4 Quadrilaterals 641\u003c\/p\u003e \u003cp\u003e10.5 Polygons 652\u003c\/p\u003e \u003cp\u003e10.6 Review 660\u003c\/p\u003e \u003cp\u003eAnswers 669\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Probability 673\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 674\u003c\/p\u003e \u003cp\u003e11.2 Review of probability 677\u003c\/p\u003e \u003cp\u003e11.3 Tree diagrams 693\u003c\/p\u003e \u003cp\u003e11.4 Independent and dependent events 701\u003c\/p\u003e \u003cp\u003e11.5 Conditional probability 707\u003c\/p\u003e \u003cp\u003e11.6 Review 713\u003c\/p\u003e \u003cp\u003eAnswers 720\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Univariate data 727\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Overview 728\u003c\/p\u003e \u003cp\u003e12.2 Measures of central tendency 733\u003c\/p\u003e \u003cp\u003e12.3 Measures of spread 747\u003c\/p\u003e \u003cp\u003e12.4 Box plots 754\u003c\/p\u003e \u003cp\u003e12.5 The standard deviation (10A) 765\u003c\/p\u003e \u003cp\u003e12.6 Comparing data sets 776\u003c\/p\u003e \u003cp\u003e12.7 Populations and samples 784\u003c\/p\u003e \u003cp\u003e12.8 Evaluating inquiry methods and statistical reports 792\u003c\/p\u003e \u003cp\u003e12.9 Review 806\u003c\/p\u003e \u003cp\u003eAnswers 819\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Bivariate data 829\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Overview 830\u003c\/p\u003e \u003cp\u003e13.2 Bivariate data 834\u003c\/p\u003e \u003cp\u003e13.3 Lines of best fit by eye 844\u003c\/p\u003e \u003cp\u003e13.4 Linear regression using technology (10A) 855\u003c\/p\u003e \u003cp\u003e13.5 Time series 863\u003c\/p\u003e \u003cp\u003e13.6 Review 871\u003c\/p\u003e \u003cp\u003eAnswers 879\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Polynomials 887\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Overview 888\u003c\/p\u003e \u003cp\u003e14.2 Polynomials 890\u003c\/p\u003e \u003cp\u003e14.3 Adding, subtracting and multiplying polynomials 894\u003c\/p\u003e \u003cp\u003e14.4 Long division of polynomials 898\u003c\/p\u003e \u003cp\u003e14.5 Polynomial values 904\u003c\/p\u003e \u003cp\u003e14.6 The remainder and factor theorems 908\u003c\/p\u003e \u003cp\u003e14.7 Factorising polynomials 911\u003c\/p\u003e \u003cp\u003e14.8 Solving polynomial equations 917\u003c\/p\u003e \u003cp\u003e14.9 Review 920\u003c\/p\u003e \u003cp\u003eAnswers 926\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Functions and relations 931\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Overview 932\u003c\/p\u003e \u003cp\u003e15.2 Functions and relations 938\u003c\/p\u003e \u003cp\u003e15.3 Exponential functions 951\u003c\/p\u003e \u003cp\u003e15.4 Cubic functions 961\u003c\/p\u003e \u003cp\u003e15.5 Quartic functions 969\u003c\/p\u003e \u003cp\u003e15.6 Transformations 974\u003c\/p\u003e \u003cp\u003e15.7 Review 983\u003c\/p\u003e \u003cp\u003eAnswers 990\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 Circle geometry 999\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Overview 1000\u003c\/p\u003e \u003cp\u003e16.2 Angles in a circle 1004\u003c\/p\u003e \u003cp\u003e16.3 Intersecting chords, secants and tangents 1012\u003c\/p\u003e \u003cp\u003e16.4 Cyclic quadrilaterals 1020\u003c\/p\u003e \u003cp\u003e16.5 Tangents, secants and chords 1025\u003c\/p\u003e \u003cp\u003e16.6 Review 1032\u003c\/p\u003e \u003cp\u003eAnswers 1040\u003c\/p\u003e \u003cp\u003e\u003cb\u003e17 Trigonometry II 1043\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e17.1 Overview 1044\u003c\/p\u003e \u003cp\u003e17.2 The sine rule 1047\u003c\/p\u003e \u003cp\u003e17.3 The cosine rule 1058\u003c\/p\u003e \u003cp\u003e17.4 Area of triangles 1064\u003c\/p\u003e \u003cp\u003e17.5 The unit circle 1070\u003c\/p\u003e \u003cp\u003e17.6 Trigonometric functions 1076\u003c\/p\u003e \u003cp\u003e17.7 Solving trigonometric equations 1083\u003c\/p\u003e \u003cp\u003e17.8 Review 1088\u003c\/p\u003e \u003cp\u003eAnswers 1097\u003c\/p\u003e \u003cp\u003eSemester review 2 1104\u003c\/p\u003e \u003cp\u003e\u003cb\u003e18 Algorithmic thinking\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e18.1 Overview\u003c\/p\u003e \u003cp\u003e18.2 Programs\u003c\/p\u003e \u003cp\u003e18.3 Data structures\u003c\/p\u003e \u003cp\u003e18.4 Algorithms\u003c\/p\u003e \u003cp\u003e18.5 Matrices\u003c\/p\u003e \u003cp\u003e18.6 Graphics\u003c\/p\u003e \u003cp\u003e18.7 Simulations\u003c\/p\u003e \u003cp\u003e18.8 Review\u003c\/p\u003e \u003cp\u003eAnswers\u003c\/p\u003e \u003cp\u003eGlossary 1106\u003c\/p\u003e 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