Jacaranda Maths Quest 9 Australian Curriculum third Edition

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