Jacaranda Maths Quest 11 Specialist Mathematics Units 1&2 for Queensland Second Edition (learnON & Print)

Part of the series Maths Quest for Queensland.

View all products in this series

---

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.

Visible learning and accessibility

• Each lesson is mapped directly to the revised Queensland Senior Syllabus, ensuring 100% coverage for teachers.
• Each lesson is scaffolded using three question types - simple familiar, complex familiar and complex unfamiliar - to prepare students for assessment.

Unparalleled exam support

• Students access practice exam questions in every lesson and in the chapter review, with sample responses.
• A custom exam‑builder can be filtered by unit, differentiation and question type; a printable exam practice booklet is also available.

Step-by-step approach to problem-solving and modelling tasks

• NEW! Practical student guide, stepping them through how to approach and complete problem-solving and modelling tasks.
• Bank of quarantined assessment tasks, including teaching advice to assist teachers to create quality problem‑solving and modelling tasks.

More than a textbook

• learnON is everything you need to prepare and deliver effective lessons in one place.
• Engage students with a multimodal learning experience, including videos and interactivities.
• Save time assessing, with ready-made auto-marked question sets, chapter tests and practice assessments with sample responses.
• Identify and act on areas of weakness early, with instant reports and learning data.
• Edit the course content to customise student learning and reduce cognitive load.

Table of Contents

1 Combinatorics

1.1 Overview

1.2 Counting techniques

1.3 Factorials and permutations

1.4 Permutations with restrictions

1.5 Combinations

1.6 Applications of permutations and combinations

1.7 Review

2 Introduction to proof

2.1 Overview

2.2 Number systems and writing propositions

2.3 Direct proofs using Euclidean geometry

2.4 Indirect methods of proof

2.5 Proofs with rational and irrational numbers

2.6 Review

3 Vectors in the plane

3.1 Overview

3.2 Vectors and scalars

3.3 Vectors in two dimensions

3.4 Review

4 Algebra of vectors in two dimensions

4.1 Overview

4.2 Vector representations

4.3 Scalar (dot) product and the projection of vectors - scalar and vector resolutes

4.4 Operations with vectors

4.5 Applications of vectors in two dimensions

4.6 Review

5 Matrices

5.1 Overview

5.2 Matrix definition and notation

5.3 Addition, subtraction and scalar multiplication of matrices

5.4 Matrix multiplication

5.5 Determinants and inverses

5.6 Matrix algebra

5.7 Matrix equations

5.8 Review

6 Complex numbers

6.1 Overview

6.2 Introduction to complex numbers

6.3 Basic operations on complex numbers

6.4 Complex conjugates and division of complex numbers

6.5 The complex plane (the Argand plane)

6.6 Conjugates and multiplication in the complex plane

6.7 Review

7 Complex arithmetic and algebra

7.1 Overview

7.2 Complex numbers in polar form

7.3 Operations on complex numbers in polar form

7.4 Geometric interpretations of multiplication and division of complex numbers in polar form

7.5 Subsets of the complex plane

7.6 Roots of equations

7.7 Review

8 Circle and geometric proofs

8.1 Overview

8.2 Congruent triangles and angle relationships

8.3 Circle properties 1 - angles in a circle and chords

8.4 Circle properties 2 - tangents, secants and segments

8.5 Circle properties 3 - cyclic quadrilaterals

8.6 Geometric proofs using vectors

8.7 Review

9 Trigonometry and functions

9.1 Overview

9.2 Sketching graphs

9.3 Reciprocal trigonometric functions

9.4 Pythagorean identities

9.5 Compound angle identities

9.6 Product identities

9.7 Applications of trigonometric identities

9.8 Review

10 Matrices and transformations

10.1 Overview

10.2 Translations

10.3 Reflections and rotations

10.4 Dilations

10.5 Combinations of transformations

10.6 Review