50 Maths Ideas You Really Need to Know
Short introductions to a broad range of mathematical ideas.
Teachers’ Library
Explore mathematics books, recommended reading and professional learning. Browse all books or select a topic. Free reading and download links take you directly to the book.
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90 books · Free and paid books
90 books
A First Course in Linear Algebra
Systems of equations, matrices, vectors and linear transformations.
A Tangled Tale
Mathematical puzzles presented through short stories, with solutions.
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Active Calculus — Multivariable
Vectors, multivariable functions, partial derivatives and multiple integrals for advanced study.
Active Calculus — Single Variable
Investigations and exercises on derivatives, integrals and differential equations for senior extension and further study.
Advanced High School Statistics (4th edition)
Data investigations, probability, distributions, inference and regression. Written for US AP Statistics; select material to suit Australian senior secondary curricula.
Alex’s Adventures in Numberland
Mathematics explored through stories and real-world examples.
ATAR Notes VCE General Maths 3&4 Complete Course Notes (2024–2026)
A revision guide with explanations, formulas and worked examples for General Mathematics SACs and examinations.
2024–2026 edition · Check suitability for your teaching year.
ATAR Notes VCE Maths Methods 3&4 Complete Course Notes (2024–2026)
Explanations and worked examples for revising the Mathematical Methods study design and preparing for SACs and examinations.
2024–2026 edition · Check suitability for your teaching year.
ATAR Notes VCE Specialist Maths 3&4 Complete Course Notes (2024–2026)
A revision guide covering Specialist Mathematics concepts, formulas and worked examples, from proof to differential equations.
2024–2026 edition · Check suitability for your teaching year.
Book of Proof
An introduction to logic, sets and proof for extension work and further study.
Building Confidence in Maths Problem Solving — Volume 1
Graded problems with illustrated solutions and alternative strategies. A practical resource for building confidence in classroom problem solving.
ISBN 9780975731659
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Building Confidence in Maths Problem Solving — Volume 2
Further problems from the Maths Games program, sequenced by difficulty with worked strategies that extend and consolidate the learning in Volume 1.
ISBN 9780975731673
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Building Thinking Classrooms in Mathematics, Grades K–12
Fourteen teaching practices for helping students engage in mathematical thinking.
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Calculus Made Easy
A classic introduction to differentiation and integration, using historical notation and examples.
Calculus — Gilbert Strang
Updated 3rd edition hosted by MIT OpenCourseWare. Derivatives, integrals and applications, extending into multivariable calculus beyond the secondary curriculum.
College Algebra
Functions, equations and graphs as preparation for calculus.
College Trigonometry
Trigonometric functions, identities and applications.
Creative Problem Solving in School Mathematics
Teaching approaches, problem-solving strategies and non-routine tasks in number, geometry, measurement and logic, with detailed solutions.
ISBN 9780975731611
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Enrichment Mathematics for Secondary Students — Volume 1
Build mathematical understanding through worked examples, graduated exercises and extension problems, broadly aimed at Years 7–8. Suitable for classroom enrichment and independent study.
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Enrichment Mathematics for Secondary Students — Volume 2
Develop mathematical reasoning through challenging problems on functions, trigonometry, combinatorics, probability and other topics, broadly aimed at Years 9–10. Suitable for classroom enrichment and independent study.
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Essential Mathematics for the Victorian Curriculum 10 & 10A (3rd edition)
Victorian Curriculum 2.0 textbook with worked examples, differentiated practice, problem solving and interactive digital learning support.
3rd edition · 2024 · ISBN 9781009481052
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Essential Mathematics for the Victorian Curriculum 7 (3rd edition)
Victorian Curriculum 2.0 textbook with worked examples, differentiated practice, problem solving and interactive digital learning support.
3rd edition · 2024 · ISBN 9781009480642
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Essential Mathematics for the Victorian Curriculum 8 (3rd edition)
Victorian Curriculum 2.0 textbook with worked examples, differentiated practice, problem solving and interactive digital learning support.
3rd edition · 2024 · ISBN 9781009480758
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Essential Mathematics for the Victorian Curriculum 9 (3rd edition)
Victorian Curriculum 2.0 textbook with worked examples, differentiated practice, problem solving and interactive digital learning support.
3rd edition · 2024 · ISBN 9781009480956
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Flatland: A Romance of Many Dimensions
A mathematical story exploring dimensions through an imagined geometric world.
General Mathematics Teacher Resource Book
Free TI-Nspire CX II CAS teacher guide for VCE General Mathematics Units 1–4. Read the guide information, then open the TI website to choose the PDF.
General Mathematics VCE Units 1&2 (2nd edition)
VCE General Mathematics textbook for Units 1&2, with worked examples, graded practice and digital support for the 2023–2027 study design.
2nd edition · 2022 · ISBN 9781009110341
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General Mathematics VCE Units 3&4
A course textbook for VCE General Mathematics.
Digital textbook access requires an account and activation.
How to Think Like a Mathematician
Logical thinking, definitions and proof for senior extension and the transition to university mathematics.
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How to Win: A Mathematical Approach to Games and Puzzles
Explore mathematical strategies for games and puzzles, including Wordle, sudoku and the Rubik’s Cube. Ideas for enrichment, problem solving and mathematical thinking.
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ICE-EM Mathematics — Year 10 & 10A (Fourth edition)
A structured Year 10 & 10A textbook developing mathematical concepts and reasoning. The 2026 edition supports Australian Curriculum Mathematics Version 9.0 and Victorian Curriculum Mathematics Version 2.0, with print and digital options.
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ICE-EM Mathematics — Year 5 (Fourth edition)
A structured Year 5 textbook developing mathematical concepts and reasoning. The 2026 edition supports Australian Curriculum Mathematics Version 9.0 and Victorian Curriculum Mathematics Version 2.0, with print and digital options.
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ICE-EM Mathematics — Year 6 (Fourth edition)
A structured Year 6 textbook developing mathematical concepts and reasoning. The 2026 edition supports Australian Curriculum Mathematics Version 9.0 and Victorian Curriculum Mathematics Version 2.0, with print and digital options.
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ICE-EM Mathematics — Year 7 (Fourth edition)
A structured Year 7 textbook developing mathematical concepts and reasoning. The 2026 edition supports Australian Curriculum Mathematics Version 9.0 and Victorian Curriculum Mathematics Version 2.0, with print and digital options.
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ICE-EM Mathematics — Year 8 (Fourth edition)
A structured Year 8 textbook developing mathematical concepts and reasoning. The 2026 edition supports Australian Curriculum Mathematics Version 9.0 and Victorian Curriculum Mathematics Version 2.0, with print and digital options.
View paid editions at Cambridge ↗ · Print and digital options
ICE-EM Mathematics — Year 9 (Fourth edition)
A structured Year 9 textbook developing mathematical concepts and reasoning. The 2026 edition supports Australian Curriculum Mathematics Version 9.0 and Victorian Curriculum Mathematics Version 2.0, with print and digital options.
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Infinite Powers: How Calculus Reveals the Secrets of the Universe
The history and ideas of calculus, with examples of how it helps us understand the world.
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Introduction to Modern Statistics (2nd edition)
Exploratory data analysis, regression, randomisation and simulation-based inference, with optional R tutorials. Some topics extend beyond secondary school.
Introduction to Probability
Probability models, distributions and applications for advanced study.
Introduction to Probability (2nd edition)
A rigorous introduction to probability, random variables, distributions, conditioning and expectation. Uses calculus and extends beyond VCE; useful for teacher development and advanced extension.
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Harvard: accompanying lectures and exercises · 2nd edition ↗
Introductory Statistics 2e
An applied introduction to data, probability, distributions, confidence intervals, hypothesis testing and regression, with exercises and collaborative activities. Choose chapters to match your curriculum.
Jacaranda Maths Quest 10 + 10A Victorian Curriculum (3rd edition)
Victorian Curriculum Mathematics Version 2.0 textbook with worked examples, differentiated exercises and learnON digital support, including 10A extension content.
3rd edition · 2024 · ISBN 9781394235520
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Print + learnON bundle: June 2024. Digital-only edition: 2023. Digital access has an expiry date.
Jacaranda Maths Quest 10 Australian Curriculum (5th edition)
Australian Curriculum Mathematics Version 9.0 textbook with worked examples, differentiated exercises, extension activities and learnON digital support.
5th edition · 2023 · ISBN 9781394193998
Print + learnON bundle. Digital access has an expiry date.
Jacaranda Maths Quest 11 General Mathematics VCE Units 1&2 (3rd edition)
General Mathematics Units 1&2 with worked examples, practice exercises and learnON digital support for the VCE study design.
3rd edition · 2022 · ISBN 9781119876236
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Jacaranda Maths Quest 11 Mathematical Methods VCE Units 1&2 (3rd edition)
Functions, algebra, calculus and probability for VCE Mathematical Methods Units 1&2, with worked examples, exercises and learnON digital support.
3rd edition · 2022 · ISBN 9781119876410
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Jacaranda Maths Quest 11 Specialist Mathematics VCE Units 1&2 (2nd edition)
Specialist Mathematics Units 1&2 concepts, worked examples and practice exercises, with learnON digital support.
2nd edition · 2022 · ISBN 9781119876656
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Jacaranda Maths Quest 12 General Mathematics VCE Units 3&4 (7th edition)
A VCE General Mathematics textbook with worked examples, practice questions and learnON digital support.
Paid print and learnON package · Digital access has an expiry date.
Jacaranda Maths Quest 12 Mathematical Methods VCE Units 3&4 (3rd edition)
A VCE Mathematical Methods textbook covering functions, calculus and probability, with learnON digital support.
Paid print and learnON package · Digital access has an expiry date.
Jacaranda Maths Quest 12 Specialist Mathematics VCE Units 3&4 (2nd edition)
A VCE Specialist Mathematics textbook covering proof, complex numbers, vectors and advanced calculus, with learnON digital support.
Paid print and learnON package · Digital access has an expiry date.
Jacaranda Maths Quest 7 Australian Curriculum (5th edition)
Australian Curriculum Mathematics Version 9.0 textbook with worked examples, differentiated exercises, extension activities and learnON digital support.
5th edition · 2023 · ISBN 9781394194261
Print + learnON bundle. Digital access has an expiry date.
Jacaranda Maths Quest 7 Victorian Curriculum (3rd edition)
Victorian Curriculum Mathematics Version 2.0 textbook with worked examples, differentiated exercises and learnON digital support.
3rd edition · 2024 · ISBN 9781394233564
View at the publisher ↗Publisher: digital-only ↗
Print + learnON bundle: June 2024. Digital-only edition: 2023. Digital access has an expiry date.
Jacaranda Maths Quest 8 Australian Curriculum (5th edition)
Australian Curriculum Mathematics Version 9.0 textbook with worked examples, differentiated exercises, extension activities and learnON digital support.
5th edition · 2023 · ISBN 9781394194179
Print + learnON bundle. Digital access has an expiry date.
Jacaranda Maths Quest 8 Victorian Curriculum (3rd edition)
Victorian Curriculum Mathematics Version 2.0 textbook with worked examples, differentiated exercises and learnON digital support.
3rd edition · 2024 · ISBN 9781394235322
View at the publisher ↗Publisher: digital-only ↗
Print + learnON bundle: June 2024. Digital-only edition: 2023. Digital access has an expiry date.
Jacaranda Maths Quest 9 Australian Curriculum (5th edition)
Australian Curriculum Mathematics Version 9.0 textbook with worked examples, differentiated exercises, extension activities and learnON digital support.
5th edition · 2023 · ISBN 9781394194087
Print + learnON bundle. Digital access has an expiry date.
Jacaranda Maths Quest 9 Victorian Curriculum (3rd edition)
Victorian Curriculum Mathematics Version 2.0 textbook with worked examples, differentiated exercises and learnON digital support.
3rd edition · 2024 · ISBN 9781394235407
View at the publisher ↗Publisher: digital-only ↗
Print + learnON bundle: June 2024. Digital-only edition: 2023. Digital access has an expiry date.
Mathematical Methods Teacher Resource Book
TI-Nspire CX II CAS classroom examples for Mathematical Methods Units 1–4. Read the overview, then visit TI for the free PDF.
Mathematical Methods VCE Units 1&2 (2nd edition)
VCE Mathematical Methods textbook for Units 1&2, with worked examples, graded practice and digital support for the 2023–2027 study design.
2nd edition · 2022 · ISBN 9781009110457
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Mathematical Methods VCE Units 3&4
A course textbook for VCE Mathematical Methods.
Digital textbook access requires an account and activation.
Mathematical Recreations and Essays
A historical collection of mathematical puzzles, recreations and essays.
Mathematics for Computer Science
Proof, induction, graphs, number theory, counting and probability for undergraduate computer science. Selected problems suit advanced secondary enrichment.
Mathematics Tasks for the Thinking Classroom, Grades 6–12
Classroom tasks and guidance for secondary mathematics teaching.
Maths Olympiad Contest Problems — Volume 1
Olympiad problems from before 1996, with hints and worked solutions. Useful for enrichment, maths clubs and competition preparation.
ISBN 9780975731604
Maths Olympiad Contest Problems — Volume 2
425 problems from the 1996–2005 APSMO Olympiads, with step-by-step solutions, strategies and an index by problem type.
ISBN 9780975731628
Maths Olympiad Contest Problems — Volume 3
400 problems from the 2006–2013 APSMO Olympiads, with solutions, hints and extension questions for mathematical enrichment.
ISBN 9780975731635
Maths Olympiad Contest Problems — Volume 4
Australian Olympiad papers from 2014–2017 and US papers from 2013/14–2016/17. Includes hints, strategies and multiple solution methods.
ISBN 9780975731642
Maths Olympiad Contest Problems — Volume 5
Questions and answers from the 2018–2022 Australian Maths Olympiads. A resource for preparing students and developing non-routine problem solving.
ISBN 9780975731666
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OpenIntro Statistics
Data, probability and statistical inference for further study.
PDF optimised for screen readers.
Specialist Mathematics Teacher Resource Book
Free TI-Nspire CX II CAS teacher guide for VCE Specialist Mathematics Units 1–4. Read the guide information, then open the TI website to choose the PDF.
Specialist Mathematics VCE Units 1&2 (2nd edition)
VCE Specialist Mathematics textbook for Units 1&2, with worked examples, graded practice and digital support for the 2023–2027 study design.
2nd edition · 2022 · ISBN 9781009110532
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Print and online bundle. Check the included digital access when selecting an edition.
Specialist Mathematics VCE Units 3&4
A course textbook for VCE Specialist Mathematics.
Digital textbook access requires an account and activation.
Street-Fighting Mathematics: The Art of Educated Guessing and Opportunistic Problem Solving
Estimation, dimensional analysis and approximation for unfamiliar problems. Useful for teachers and advanced students; includes examples beyond secondary mathematics.
Teach Like a Champion 3.0
63 practical techniques for classroom routines, checking understanding, participation and high expectations. A professional learning resource for teachers across subjects.
3rd edition · 2021 · Paperback · ISBN 9781119712619
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The Art of Insight in Science and Engineering: Mastering Complexity
Reasoning tools for simplifying complex problems through estimation, symmetry, scaling and physical models. Some science and engineering examples extend beyond secondary study.
The Joy of x
An accessible exploration of mathematical ideas and their connections to everyday life.
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The Number Devil
A story-led introduction to mathematical curiosity.
The Principia: Mathematical Principles of Natural Philosophy
Newton’s mathematical treatment of motion and universal gravitation. A historical text for advanced reading and exploring the development of mathematical physics.
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The World’s Most Famous Math Problem: The Proof of Fermat’s Last Theorem and Other Mathematical Mysteries
A short historical account of Fermat’s Last Theorem and the excitement surrounding Andrew Wiles’s 1993 announcement. Published before the final proof was completed.
1993 · Paperback · ISBN 9780312106577
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think! Additional Mathematics Textbook A (10th edition)
Additional mathematics with worked examples, investigations and challenging problems. A source of ideas for secondary extension teaching.
10th edition · ISBN 9789813245068
think! Additional Mathematics Textbook B (10th edition)
Additional mathematics with worked examples, investigations and challenging problems. A source of ideas for secondary extension teaching.
10th edition · ISBN 9789813245075
think! Mathematics G3 Textbook 1A (8th edition)
Prime numbers, algebra, linear equations, functions and patterns, with worked examples, investigations and extension questions.
8th edition · ISBN 9789813245358
think! Mathematics G3 Textbook 1B (8th edition)
Worked examples, investigations, real-world problems and extension questions for the Singapore secondary mathematics syllabus.
8th edition · ISBN 9789813245365
think! Mathematics G3 Textbook 2A (8th edition)
Worked examples, investigations, real-world problems and extension questions for the Singapore secondary mathematics syllabus.
8th edition · ISBN 9789813249288
think! Mathematics G3 Textbook 2B (8th edition)
Worked examples, investigations, real-world problems and extension questions for the Singapore secondary mathematics syllabus.
8th edition · ISBN 9789813249295
think! Mathematics G3 Textbook 3A (8th edition)
Worked examples, investigations, real-world problems and extension questions for the Singapore secondary mathematics syllabus.
8th edition · ISBN 9789813333338
think! Mathematics G3 Textbook 3B (8th edition)
Worked examples, investigations, real-world problems and extension questions for the Singapore secondary mathematics syllabus.
8th edition · ISBN 9789813333345
think! Mathematics Secondary Textbook 4A (8th edition)
Worked examples, investigations, real-world problems and extension questions for the Singapore secondary mathematics syllabus.
8th edition · ISBN 9789813336681
think! Mathematics Secondary Textbook 4B (8th edition)
Worked examples, investigations, real-world problems and extension questions for the Singapore secondary mathematics syllabus.
8th edition · ISBN 9789813336698
Thinking Mathematically
Developing mathematical reasoning and problem-solving habits.
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