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The Jacaranda Maths Quest for Queensland series has been entirely updated for the revised Queensland Senior Syllabus. Created by experienced Queensland teachers, the new Maths Quest for Queensland series provides all the tools to help your students progress and achieve success.
Available now in learnON, Australia’s most powerful online learning platform, which brings trusted Jacaranda content to life.
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Step-by-step approach to problem-solving and modelling tasks
More than a textbook
1.1 Overview
1.2 The real number system and surds
1.3 Simplifying surds
1.4 Operations with surds and rationalising the denominator
1.5 Review
2 Quadratic functions
2.1 Overview
2.2 Solving quadratic equations with rational roots
2.3 Solving quadratic equations over R
2.4 Graphs of quadratic functions
2.5 The discriminant
2.6 Modelling with quadratic functions
2.7 Review
3 Binomial expansion and cubic functions
3.1 Overview
3.2 Pascal's triangle and binomial expansions
3.3 The binomial theorem
3.4 Polynomials and cubic functions
3.5 Graphing cubic functions
3.6 Solving cubic equations
3.7 Modelling cubic functions
3.8 Review
4 Introduction to functions and relations
4.1 Overview
4.2 Functions and relations
4.3 Function notation
4.4 Piece-wise functions
4.5 Review
5 Graphs of relations and reciprocal functions
5.1 Overview
5.2 The circle
5.3 The sideways parabola and square root function
5.4 The reciprocal function
5.5 Review
6 Trigonometric functions
6.1 Overview
6.2 Trigonometry review
6.3 Radian measure
6.4 Unit circle definitions
6.5 Exact values and symmetry properties
6.6 Graphs of the sine, cosine and tangent functions
6.7 Solving trigonometric equations
6.8 Transformations of the sine and cosine graphs
6.9 Modelling with trigonometric functions
6.10 Review
7 Probability
7.1 Overview
7.2 Concepts of probability
7.3 Relative frequency
7.4 Conditional probability
7.5 Independence
7.6 Review
8 Indices and index laws
8.1 Overview
8.2 Index laws
8.3 Negative and fractional indices
8.4 Scientific notation
8.5 Review
9 Introduction to exponential functions
9.1 Overview
9.2 Solving exponential equations
9.3 Graphs of exponential functions
9.4 Modelling with exponential functions
9.5 Review
10 Logarithms and logarithmic functions
10.1 Overview
10.2 Logarithms and logarithmic laws
10.3 Indicial equations and logarithms
10.4 Graphs of logarithmic functions
10.5 Modelling with logarithmic functions
10.6 Review
11 Rates of change and the concept of derivatives
11.1 Overview
11.2 Average rates of change
11.3 Differentiation from first principles
11.4 Differentiation by rule
11.5 Interpreting the derivatives
11.6 Differentiation of power functions
11.7 Review
12 Graphical applications of derivatives
12.1 Overview
12.2 Instantaneous rates of change
12.3 Tangents and normals of a graph
12.4 Kinematics
12.5 Curve sketching
12.6 Review
13 Differentiation rules
13.1 Overview
13.2 The chain rule
13.3 The product rule
13.4 The quotient rule
13.5 Combinations of the chain rule, product rule and quotient rule
13.6 Review