Jacaranda Maths Quest 10 + 10 A For Victoria Australian Curriculum Edition

Half title page
Title page
Copyright page
Contents
About this resource
CAS support in Maths Quest
Acknowledgements
TOPIC 1 Indices
	1.1 Overview
	1.2 Review of index laws
	1.3 Negative indices
	1.4 Fractional indices
	1.5 Combining index laws
	1.6 Review
	Answers
TOPIC 2 Algebra and equations
	2.1 Overview
	2.2 Substitution
	2.3 Adding and subtracting algebraic fractions
	2.4 Multiplying and dividing algebraic fractions
	2.5 Solving simple equations
	2.6 Solving multi-step equations
	2.7 Literal equations
	2.8 Review
	Answers
TOPIC 3 Coordinate geometry
	3.1 Overview
	3.2 Sketching linear graphs
	3.3 Determining linear equations
	3.4 The distance between two points
	3.5 The midpoint of a line segment
	3.6 Parallel and perpendicular lines
	3.7 Review
	Answers
TOPIC 4 Simultaneous linear equations and inequalities
	4.1 Overview
	4.2 Graphical solution of simultaneous linear equations
	4.3 Solving simultaneous linear equations using substitution
	4.4 Solving simultaneous linear equations using elimination
	4.5 Applications of simultaneous linear equations
	4.6 Solving simultaneous linear and non-linear equations
	4.7 Solving linear inequalities
	4.8 Inequalities on the Cartesian plane
	4.9 Solving simultaneous linear inequalities
	4.10 Review
	Answers
TOPIC 5 Trigonometry I
	5.1 Overview
	5.2 Pythagoras’ theorem
	5.3 Pythagoras’ theorem in three dimensions
	5.4 Trigonometric ratios
	5.5 Using trigonometry to calculate side lengths
	5.6 Using trigonometry to calculate angle size
	5.7 Angles of elevation and depression
	5.8 Bearings
	5.9 Applications
	5.10 Review
	Answers
TOPIC 6 Surface area and volume
	6.1 Overview
	6.2 Area
	6.3 Total surface area
	6.4 Volume
	6.5 Review
	Answers
TOPIC 7 Quadratic expressions
	7.1 Overview
	7.2 Expanding algebraic expressions
	7.3 Factorising expressions with three terms
	7.4 Factorising expressions with two or four terms
	7.5 Factorising by completing the square
	7.6 Mixed factorisation
	7.7 Review
	Answers
TOPIC 8 Quadratic equations
	8.1 Overview
	8.2 Solving quadratic equations algebraically
	8.3 The quadratic formula
	8.4 Solving quadratic equations graphically
	8.5 The discriminant
	8.6 Review
	Answers
TOPIC 9 Non-linear relationships
	9.1 Overview
	9.2 Plotting parabolas
	9.3 Sketching parabolas
	9.4 Sketching parabolas in turning point form
	9.5 Sketching parabolas of the form y = ax2 + bx + c
	9.6 Exponential functions and graphs
	9.7 The hyperbola
	9.8 The circle
	9.9 Review
	Answers
TOPIC 10 Deductive geometry
	10.1 Overview
	10.2 Angles, triangles and congruence
	10.3 Similar triangles
	10.4 Quadrilaterals
	10.5 Polygons
	10.6 Review
	Answers
TOPIC 11 Probability
	11.1 Overview
	11.2 Review of probability
	11.3 Tree diagrams
	11.4 Independent and dependent events
	11.5 Conditional probability
	11.6 Subjective probability
	11.7 Review
	Answers
TOPIC 12 Univariate data
	12.1 Overview
	12.2 Measures of central tendency
	12.3 Measures of spread
	12.4 Box-and-whisker plots
	12.5 The standard deviation
	12.6 Comparing data sets
	12.7 Review
	Answers
TOPIC 13 Bivariate data
	13.1 Overview
	13.2 Bivariate data
	13.3 Lines of best fit
	13.4 Time series
	13.5 Review
	Answers
TOPIC 14 Statistics in the media
	14.1 Overview
	14.2 Populations and samples
	14.3 Primary and secondary data
	14.4 Evaluating inquiry methods and statistical reports
	14.5 Statistical investigations
	14.6 Review
	Answers
TOPIC 15 Financial mathematics
	15.1 Overview
	15.2 Purchasing goods
	15.3 Buying on terms
	15.4 Successive discounts
	15.5 Compound interest
	15.6 Depreciation
	15.7 Loan repayments
	15.8 Review
	Answers
TOPIC16 Real numbers
	16.1 Overview
	16.2 Number classification review
	16.3 Surds
	16.4 Operations with surds
	16.5 Fractional indices
	16.6 Negative indices
	16.7 Logarithms
	16.8 Logarithm laws
	16.9 Solving equations
	16.10 Review
	Answers
TOPIC 17 Polynomials
	17.1 Overview
	17.2 Polynomials
	17.3 Adding, subtracting and multiplying polynomials
	17.4 Long division of polynomials
	17.5 Polynomial values
	17.6 The remainder and factor theorems
	17.7 Factorising polynomials
	17.8 Solving polynomial equations
	17.9 Review
	Answers
TOPIC 18 Functions and relations
	18.1 Overview
	18.2 Functions and relations
	18.3 Exponential functions
	18.4 Cubic functions
	18.5 Quartic functions
	18.6 Transformations
	18.7 Review
	Answers
TOPIC 19 Circle geometry
	19.1 Overview
	19.2 Angles in a circle
	19.3 Intersecting chords, secants and tangents
	19.4 Cyclic quadrilaterals
	19.5 Tangents, secants and chords
	19.6 Review
	Answers
TOPIC 20 Trigonometry II
	20.1 Overview
	20.2 The sine rule
	20.3 The cosine rule
	20.4 Area of triangles
	20.5 The unit circle
	20.6 Trigonometric functions
	20.7 Solving trigonometric equations
	20.8 Review
	Answers
TOPIC 21 Programming
	21.1 Overview
		21.1.1 Why learn this?
		21.1.2 What do you know?
	21.2 Programs
		21.2.1 Values
		21.2.2 Variables
		21.2.3 Numerical expressions
		21.2.4 Assigning
		21.2.5 Reassigning
		21.2.6 If structure
		21.2.7 If else structure
		Exercise 21.2 Programs
	21.3 Data structures
		21.3.1 Data structures and numbers
		21.3.2 Strings
		21.3.3 Booleans
		21.3.4 Arrays
		21.3.5 Objects
		21.3.6 Accessing properties
		21.3.7 Pointers
		21.3.8 Linked lists
		Exercise 21.3 Data structures
	21.4 Algorithms
		21.4.1 Output
		21.4.2 Comments
		21.4.3 Defining a function
		21.4.4 Return at any point
		21.4.5 Designing an algorithm
		21.4.6 Implement an algorithm
		21.4.7 Linked list algorithms and empty lists
		21.4.8 Remove data
		21.4.9 Accessing data
		Exercise 21.4 Algorithms
	21.5 Matrices
		21.5.1 Two-dimensional arrays
		21.5.2 Array indexes
		21.5.3 Matrices and arrays
		21.5.4 Matrix size
		21.5.5 Matrix representation
		21.5.6 Matrix indexes
		Exercise 21.5 Matrices
	21.6 Graphics
		21.6.1 Web pages
		21.6.2 Canvas coordinates
		21.6.3 Polygons
		21.6.4 Circles
		21.6.5 Colour
		Exercise 21.6 Graphics
	21.7 Simulations
		21.7.1 Random numbers
		21.7.2 For loops
		21.7.3 Nested loops
		21.7.4 Initialising arrays
		21.7.5 The Game of Life
		21.7.6 Adjacent cells
		21.7.7 Matrix transforms
		21.7.8 Simulation animations
		Exercise 21.7 Simulations
	21.8 Review
		21.8.1 Review questions
	Answers
Appendix CAS Calculator companion
Glossary
Index