Jacaranda Maths Quest 9 Australian Curriculum third Edition
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Half title page Title page Copyright page Contents About this resource Acknowledgements TOPIC 1 Numeracy 1 1.1 Overview 1.2 Set A 1.3 Set B Answers TOPIC 2 Number skills 2.1 Overview 2.2 Rational numbers 2.3 Surds 2.4 Real numbers 2.5 Scientific notation 2.6 Review Answers TOPIC 3 Algebra 3.1 Overview 3.2 Using pronumerals 3.3 Algebra in worded problems 3.4 Simplifying algebraic expressions 3.5 Expanding brackets 3.6 Expansion patterns 3.7 Further expansions 3.8 The highest common factor 3.9 The highest common binomial factor 3.10 Applications 3.11 Review Answers TOPIC 4 Linear equations 4.1 Overview 4.2 Solving linear equations 4.3 Solving linear equations with brackets 4.4 Solving linear equations with pronumerals on both sides 4.5 Solving problems with linear equations 4.6 Rearranging formulas 4.7 Review Answers TOPIC 5 Congruence and similarity 5.1 Overview 5.2 Ratio and scale 5.3 Congruent figures 5.4 Similar figures 5.5 Area and volume of similar figures 5.6 Review Answers TOPIC 6 Pythagoras and trigonometry 6.1 Overview 6.2 Pythagoras’ theorem 6.3 Applications of Pythagoras’ theorem 6.4 What is trigonometry? 6.5 Calculating unknown side lengths 6.6 Calculating unknown angles 6.7 Angles of elevation and depression 6.8 Review Answers TOPIC 7 Linear and non-linear graphs 7.1 Overview 7.2 Plotting linear graphs 7.3 The equation of a straight line 7.4 Sketching linear graphs 7.5 Technology and linear graphs 7.6 Determining linear rules 7.7 Practical applications of linear graphs 7.8 Midpoint of a line segment and distance between two points 7.9 Non-linear relations (parabolas, hyperbolas, circles) 7.10 Review Answers TOPIC 8 Proportion and rates 8.1 Overview 8.2 Direct proportion 8.3 Direct proportion and ratio 8.4 Inverse proportion 8.5 Introduction to rates 8.6 Constant and variable rates 8.7 Rates of change 8.8 Review Answers TOPIC 9 Numeracy 2 9.1 Overview 9.2 Set C 9.3 Set D Answers TOPIC 10 Indices 10.1 Overview 10.2 Review of index laws 10.3 Raising a power to another power 10.4 Negative indices 10.5 Square roots and cube roots 10.6 Review Answers TOPIC 11 Financial mathematics 11.1 Overview 11.2 Salaries and wages 11.3 Special rates 11.4 Piecework 11.5 Commission and royalties 11.6 Loadings and bonuses 11.7 Taxation and net earnings 11.8 Simple interest 11.9 Compound interest 11.10 Review Answers TOPIC 12 Measurement 12.1 Overview 12.2 Measurement 12.3 Area 12.4 Area and perimeter of a sector 12.5 Surface area of rectangular and triangular prisms 12.6 Surface area of a cylinder 12.7 Volume of prisms and cylinders 12.8 Review Answers TOPIC 13 Probability 13.1 Overview 13.2 Theoretical probability 13.3 Experimental probability 13.4 Venn diagrams and two-way tables 13.5 Two-step experiments 13.6 Mutually exclusive and independent events 13.7 Conditional probability 13.8 Review Answers TOPIC 14 Statistics 14.1 Overview 14.2 Sampling 14.3 Collecting data 14.4 Displaying data 14.5 Measures of central tendency 14.6 Measures of spread 14.7 Review Answers TOPIC 15 Numeracy 3 15.1 Overview 15.2 Set E 15.3 Set F Answers Project: Backyard flood TOPIC 16 Quadratic algebra 16.1 Overview 16.2 Factorisation patterns 16.3 Factorising monic quadratics 16.4 Factorising non-monic quadratics 16.5 Simplifying algebraic fractions 16.6 Quadratic equations 16.7 The Null Factor Law 16.8 Solving the quadratic equation ax2 + bx + c = 0 16.9 Solving quadratic equations with two terms 16.10 Applications 16.11 Review Answers TOPIC 17 Quadratic functions 17.1 Overview 17.2 Graphs of quadratic functions 17.3 Plotting points to graph quadratic functions 17.4 Sketching parabolas of the form y = ax2 17.5 Sketching parabolas of the form y = ax2 + c 17.6 Sketching parabolas of the form y = (x – h)2 17.7 Sketching parabolas of the form y = (x − h)2 + k 17.8 Sketching parabolas of the form y = (x + a)(x + b) 17.9 Applications 17.10 Review Answers TOPIC 18 STEM extension: Programming 18.1 Overview 18.2 Programs 18.3 Arrays 18.4 Loops 18.5 Set structures 18.6 Sorting algorithms 18.7 The Monte Carlo method 18.8 Review Answers Glossary Index
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