Jacaranda Maths Quest 9 Stage 5 NSW Curriculum

Half title page
Title page
Copyright page
Contents
Overview
Acknowledgements
TOPIC 1 NAPLAN practice
	1.1 Overview
	1.2 NAPLAN practice 1
	1.3 NAPLAN practice 2
	1.4 NAPLAN practice 3
	1.5 Review
	Answers
TOPIC 2 Financial mathematics [Stage 5.1]
	2.1 Overview
	2.2 Salaries and wages [Stage 5.1]
	2.3 Special rates [Stage 5.1
	2.4 Piecework [Stage 5.1]
	2.5 Commissions and royalties [Stage 5.1]
	2.6 Loadings and bonuses [Stage 5.1]
	2.7 Taxation and net earnings [Stage 5.1
	2.8 Simple interest [Stage 5.1]
	2.9 Compound interest [Stage 5.1
	2.10 Review
	Answers
TOPIC 3 Similar figures and scale drawings [Stages 5.1 and 5.3]
	3.1 Overview
	3.2 Congruent figures
	3.3 Scale drawings [Stage 5.1]
	3.4 Similar figures [Stage 5.1]
	3.5 Area and volume of similar figures [Stage 5.3]
	3.6 Review
	Answers
TOPIC 4 Right-angled triangles (trigonometry) [Stage 5.1]
	4.1 Overview
	4.2 Pythagoras’ theorem [Stage 4]
	4.3 Applications of Pythagoras’theorem [Stage 4]
	4.4 Similarity and the sine, cosine andtangentratios [Stage 5.1]
	4.5 Calculating unknown side lengths [Stage 5.1
	4.6 Calculating unknown angles [Stage 5.1]
	4.7 Angles of elevation and depression [Stage 5.1]
	4.8 Review
	Answers
TOPIC 5 Single variable data analysis [Stages 5.1 and 5.2]
	5.1 Overview
	5.2 Collecting data [Stage 4]
	5.3 Stem-and-leaf plots and dot plots [Stage 5.1
	5.4 Comparing and displaying data [Stage 5.1]
	5.5 Mean, median and mode [Stage 5.1]
	5.6 Quartiles, interquartile range anddistributions [Stage 5.2]
	5.7 Review
	Answers
TOPIC 6 Indices, scientific notation and surds [Stages 5.1, 5.2 and 5.3]
	6.1 Overview
	6.2 Rational and irrational numbers [Stage 5.3]
	6.3 Simple operations with surds [Stage 5.3]
	6.4 Rounding and significant figures [Stage 5.1]
	6.5 Scientific notation [Stage 5.1]
	6.6 Applying the index laws to variables [Stage 5.1]
	6.7 Using index laws to simplify algebraic products and quotients [Stage 5.1]
	6.8 Applying index laws to algebraic expressions involving integer indices [Stage 5.2]
	6.9 Introduction to fractional indices [Stage 5.3]
	6.10 Review
	Answers
TOPIC 7 Area, surface area and volume [Stages 5.1 and 5.2]
	7.1 Overview
	7.2 Time scales and units of measurement[Stage 5.1
	7.3 Area of composite shapes [Stage 5.1]
	7.4 Area and perimeter of semicirclesand sectors [Stage 5.1
	7.5 Surface area of rectangular andtriangular prisms [Stage 5.1]
	7.6 Surface area of cylinders andcomposite solids [Stage 5.2]
	7.7 Volume of prisms, cylinders andcomposite solids [Stage 5.2]
	7.8 Review
	Answers
TOPIC 8 Algebraic techniques 1 [Stage 5.2]
	8.1 Overview
	8.2 Variables [Stage 4]
	8.3 Algebra in worded problems [Stage 4]
	8.4 Simplifying algebraic expressions [Stage 4]
	8.5 Simplifying algebraic fractions 1 [Stage 5.2]
	8.6 Expanding algebraic expressions [Stage 5.2]
	8.7 The highest common factor [Stage 5.2]
	8.8 Factorising monic quadratics [Stage 5.2]
	8.9 Review
	Answers
TOPIC 9 Probability [Stages 5.1 and 5.2]
	9.1 Overview
	9.2 Theoretical probability [Stage 5.1]
	9.3 Experimental probability [Stage 5.1
	9.4 Venn diagrams and two-way tables [Stage 5.1]
	9.5 Two-step experiments [Stage 5.2]
	9.6 Mutually exclusive and independent events [Stage 5.2]
	9.7 Conditional probability [Stage 5.2]
	9.8 Review
	Answers
TOPIC 10 Linear equations [Stage 5.2]
	10.1 Overview
	10.2 Solving linear equations [Stage 5.2]
	10.3 Solving linear equations withbrackets [Stage 5.2]
	10.4 Solving linear equations withpronumerals on both sides [Stage 5.2]
	10.5 Solving problems with lineare quations [Stage 5.2]
	10.6 Substituting values into formulas [Stage 5.2]
	10.7 Review
	Answers
TOPIC 11 Linear and non-linear relationships [Stages 5.1 and 5.2]
	11.1 Overview
	11.2 Sketching linear graphs using the coordinates of two points [Stage 5.1]
	11.3 Midpoint of a line segment and distance between two points [Stage 5.1]
	11.4 The gradient of a straight line [Stage 5.1]
	11.5 Using the gradient–intercept form to graph linear relationships [Stage 5.2]
	11.6 Parallel and perpendicular lines [Stages 5.1 and 5.2]
	11.7 Finding the equation of a straight line [Stage 5.2]
	11.8 Practical applications of linear graphs
	11.9 Non-linear relationships (parabolas, exponentials, circles) [Stages 5.1 and 5.2]
	11.10 Review
	Answers
TOPIC 12 Quadratic equations [Stage 5.2]
	12.1 Overview
	12.2 Quadratic equations [Stage 5.2]
	12.3 The Null Factor Law [Stage 5.2]
	12.4 Solving the quadratic equation ax2 + bx + c = 0 [Stage 5.2]
	12.5 Solving quadratic equations withtwo terms [Stage 5.2]
	12.6 Applications of quadratic equations [Stage 5.2]
	12.7 Review
	Answers
TOPIC 13 Proportion and rates [Stages 5.2 and 5.3]
	13.1 Overview
	13.2 Direct proportion [Stage 5.2]
	13.3 Direct proportion and ratio [Stage 5.2]
	13.4 Inverse proportion [Stage 5.2]
	13.5 Simple rate problems [Stage 5.2]
	13.6 Constant and variable rates [Stage 5.3]
	13.7 Rates of change [Stage 5.3]
	13.8 Review
	Answers
TOPIC 14 Algebraic techniques 2 [Stage 5.3]
	14.1 Overview
	14.2 Special binomial products [Stage 5.3]
	14.3 Further expansions [Stage 5.3]
	14.4 The highest common binomial factor [Stage 5.3]
	14.5 Factorisation patterns [Stage 5.3]
	14.6 Factorising non-monic quadratics [Stage 5.3]
	14.7 Simplifying algebraic fractions 2 [Stage 5.3]
	14.8 Applications of binomial products [Stage 5.3]
	14.9 Review
	Answers
TOPIC 15 Quadratic relationships [Stage 5.3]
	15.1 Overview
	15.2 Graphs of quadratic functions [Stage 5.3]
	15.3 Plotting points to graph quadratic functions [Stage 5.3]
	15.4 Sketching parabolas of the form y = ax2 [Stage 5.3]
	15.5 Sketching parabolas of the form y = ax2 + k [Stage 5.3]
	15.6 Sketching parabolas of the form y = (x − h)2 [Stage 5.3]
	15.7 Sketching parabolas of the form y = (x − h)2 + k [Stage 5.3]
	15.8 Sketching parabolas of the form y = (x + a) (x + b) [Stage 5.3]
	15.9 Applications [Stage 5.3]
	15.10 Review
	Answers
Glossary
Index