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AoPS Curriculum

Our curriculum is specifically designed for high-performing math students in grades 5-12. We present a much broader and deeper exploration of challenging mathematics than a typical math curriculum and show students how to apply their knowledge and problem-solving skills to difficult problems. We help students learn the critical problem-solving skills necessary for success at mathematics competitions (such as MATHCOUNTS and the AMC), top universities, and competitive careers.

Text and Solutions $ 57.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Excerpt 3 Index

Prealgebra

Richard Rusczyk, David Patrick, Ravi Boppana

Paperback

Text: 608 pages. Solutions: 224 pages.

Prealgebra prepares students for the rigors of algebra and also teaches students problem-solving techniques to prepare them for prestigious middle school math contests such as MATHCOUNTS, MOEMS, and the AMC 8. The text is written to challenge students at a much deeper level than a traditional middle school prealgebra course, and is used for both our Prealgebra 1 and Prealgebra 2 online courses.

Text and Solutions $ 63.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Excerpt 3 Index

Introduction to Algebra

Richard Rusczyk

Paperback (2nd edition)

Text: 656 pages. Solutions: 312 pages.

A thorough introduction for students in grades 6-9 to algebra topics such as linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and more! This book is used in our Introduction to Algebra A and Introduction to Algebra B courses.

Text and Solutions $ 45.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Introduction to Counting and Probability

David Patrick

Paperback (2nd edition)

Text: 256 pages. Solutions: 120 pages.

A thorough introduction for students in grades 7-10 to counting and probability topics such as permutations, combinations, Pascal's triangle, geometric probability, basic combinatorial identities, the Binomial Theorem, and more.

Text and Solutions $ 61.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Introduction to Geometry

Richard Rusczyk

Paperback (2nd edition)

Text: 557 pages. Solutions: 226 pages.

A full course in challenging geometry for students in grades 7-10, including topics such as similar triangles, congruent triangles, quadrilaterals, polygons, circles, funky areas, power of a point, three-dimensional geometry, transformations, introductory trigonometry, and more.

Text and Solutions $ 51.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Introduction to Number Theory

Mathew Crawford

Paperback

Text: 336 pages. Solutions: 144 pages.

A thorough introduction for students in grades 7-10 to topics in number theory such as primes & composites, multiples & divisors, prime factorization and its uses, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense, and more.

Text and Solutions $ 69.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Intermediate Algebra

Richard Rusczyk and Mathew Crawford

Paperback

Text: 720 pages. Solutions: 336 pages.

A comprehensive textbook covering Algebra 2 and topics in Precalculus. This book is the follow-up to the acclaimed Introduction to Algebra textbook. In addition to offering standard Algebra 2 and Precalculus curriculum, the text includes advanced topics such as those problem solving strategies required for success on the AMC and AIME competitions.

Text and Solutions $ 51.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Index

Intermediate Counting & Probability

David Patrick

Paperback

Text: 400 pages. Solutions: 208 pages.

An intermediate textbook in counting and probability for students in grades 9-12, containing topics such as inclusion-exclusion, recursion, conditional probability, generating functions, graph theory, and more.

Text and Solutions $ 57.00

ARE YOU READY?DO YOU NEED THIS? Table of Contents Excerpt 1 Excerpt 2 Index

Precalculus

Richard Rusczyk

Paperback (2nd edition)

Text: 528 pages. Solutions: 272 pages.

A comprehensive textbook covering precalculus topics. Specific topics covered include trigonometry, complex numbers, vectors, and matrices. Includes many problems from the AIME and USAMO competitions.

Text and Solutions $ 54.00

ARE YOU READY? Table of Contents Excerpt 1 Excerpt 2 Excerpt 3 Index

Calculus

David Patrick

Paperback (2nd edition)

Text: 336 pages. Solutions: 128 pages.

A comprehensive textbook covering single-variable calculus. Specific topics covered include limits, continuity, derivatives, integrals, power series, plane curves, and differential equations.

Text and Solutions $ 45.00

Table of Contents Excerpt 1 Excerpt 2 Index

Volume 1

Sandor Lehoczky and Richard Rusczyk

Paperback (7th edition)

Text: 288 pages. Solutions: 144 pages.

A classic problem solving textbook for students in grades 7-10 who are preparing for contests like MATHCOUNTS and the AMC 8/10/12.

Text and Solutions $ 47.00

Table of Contents Excerpt 1 Excerpt 2 Index

Volume 2

Richard Rusczyk and Sandor Lehoczky

Paperback (7th edition)

Text: 320 pages. Solutions: 184 pages.

A classic problem solving textbook for students in grades 9-12 who are preparing for advanced high school contests like the AMC 12, AIME, and the Harvard-MIT Mathematics Tournament.

$ 27.50

Table of Contents Excerpt 1 Excerpt 2

Competition Math for Middle School

Jason Batterson

Paperback

390 pages.

Contains over 700 examples and problems in the areas of Algebra, Counting, Probability, Number Theory, and Geometry. Examples and full solutions present clear concepts and provide helpful tips and tricks.

Beast Academy

Beast Academy is our curriculum for students in grades 2-5. Each grade consists of four pairs of books (A through D), and each pair consists of:

A Guide book: a fully-illustrated textbook written in an engaging, comic-book style, which provides comprehensive, rigorous instruction; and
A Practice book: a workbook providing hundreds of exercises, problems, puzzles, and games to reinforce the lessons from the Guide.

Beast Academy materials cover the core fundamentals and then go well beyond these basics to present material at a deeper and more challenging level than a typical elementary-school math curriculum.

Visit BeastAcademy.com to learn more about our Beast Academy Online learning system.

Guide and Practice $ 27.00

ARE YOU READY? Guide: Contents Guide: 24-27 Guide: 76-79 Practice: 14-17 Practice: 54-57 Practice: 74-77

Beast Academy 2A

Jason Batterson, Kyle Guillet, Chris Page. Illustrated by Erich Owen.

Paperback

Guide: 96 pages. Practice: 136 pages.

Beast Academy Guide 2A and its companion Practice 2A are the first part in a four-part series for 2nd grade mathematics. Level 2A includes chapters on place value, comparing numbers, and addition.

Guide and Practice $ 27.00

ARE YOU READY? Table of Contents Guide: 68-71 Guide: 76-78 Practice: 13-15 Practice: 49-52 Practice: 96-99

Beast Academy 2B

Jason Batterson, Kyle Guillet, Chris Page. Illustrated by Erich Owen.

Paperback

Guide: 104 pages. Practice: 160 pages.

Beast Academy Guide 2B and its companion Practice 2B are the second part in a four-part series for 2nd grade mathematics. Level 2B includes chapters on subtraction, expressions, and problem solving.

Guide and Practice $ 27.00

ARE YOU READY? Table of Contents Guide: 14-17 Guide: 96-99 Practice: 16-17 Practice: 52-55 Practice: 62-65

Beast Academy 2C

Jason Batterson, Kyle Guillet, Chris Page. Illustrated by Erich Owen.

Paperback

Guide: 104 pages. Practice: 152 pages.

Beast Academy Guide 2C and its companion, Practice 2C, are the third part in a four-part series for 2nd grade mathematics. Level 2C includes chapters on measurement, addition and subtraction strategies, and odds & evens.

Guide and Practice $ 27.00

ARE YOU READY? Guide: Contents Guide: 31-35 Guide: 82-85 Practice: 12-13 Practice: 48-51 Practice: 86-89

Beast Academy 2D

Jason Batterson, Kyle Guillet, Chris Page. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 160 pages.

Beast Academy Guide 2D and its companion, Practice 2D, are the fourth part in a four-part series for 2nd grade mathematics. Level 2D includes chapters on big numbers, algorithms, and problem solving.

Guide and Practice $ 27.00

ARE YOU READY? Guide: Contents Guide: 26-29 Guide: 56-58 Practice: Contents Practice: 15-16 Practice: 59-62

Beast Academy 3A

Jason Batterson, Shannon Rogers. Illustrated by Erich Owen.

Paperback

Guide: 104 pages. Practice: 128 pages.

Beast Academy Guide 3A and its companion Practice 3A are the first part in a four-part series for 3rd grade mathematics. Level 3A includes chapters on shape classification, skip-counting, and perimeter and area.

Guide and Practice $ 27.00

ARE YOU READY? Guide: Contents Guide: 58-61 Guide: 78-81 Practice: Contents Practice: 51-53 Practice: 78-80

Beast Academy 3B

Jason Batterson, Shannon Rogers. Illustrated by Erich Owen.

Paperback

Guide: 104 pages. Practice: 128 pages.

Beast Academy Guide 3B and its companion Practice 3B are the second part in a four-part series for 3rd grade mathematics. Level 3B includes chapters on multiplication, perfect squares, and the distributive property.

Guide and Practice $ 27.00

ARE YOU READY? Guide: Contents Guide: 36-38 Guide: 86-89 Practice: 26-28 Practice: 50-52 Practice: 79-81

Beast Academy 3C

Jason Batterson, Shannon Rogers. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 144 pages.

Beast Academy Guide 3C and its companion Practice 3C are the third part in a four-part series for 3rd grade mathematics. Level 3C includes chapters on variables, division, and units and measure.

Guide and Practice $ 27.00

ARE YOU READY? Guide: Contents Guide: 17-21 Guide: 54-56 Guide: 88-90 Practice: 7-10 Practice: 53-56 Practice: 88-91

Beast Academy 3D

Jason Batterson, Shannon Rogers. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 160 pages.

Beast Academy Guide 3D and its companion Practice 3D are the fourth part in a four-part series for 3rd grade mathematics. Level 3D includes chapters on fractions, estimation, and area.

Guide and Practice $ 27.00

ARE YOU READY? Guide: Contents Guide: 15-18 Guide: 93-97 Practice: 16-19 Practice: 42-45 Practice: 81-84

Beast Academy 4A

Jason Batterson, Shannon Rogers. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 176 pages.

Beast Academy Guide 4A and its companion Practice 4A are the first part in the planned four-part series for 4th grade mathematics. Level 4A includes chapters on shapes, multiplication, and exponents.

Guide and Practice $ 27.00

ARE YOU READY? Guide: Contents Guide: 19-22 Guide: 90-93 Practice: 13-16 Practice: 58-61 Practice: 76-79

Beast Academy 4B

Jason Batterson, Shannon Rogers. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 152 pages.

Beast Academy Guide 4B and its companion Practice 4B are the second part in the planned four-part series for 4th grade mathematics. Level 4B includes chapters on counting, division, and logic.

Guide and Practice $ 27.00

ARE YOU READY? Guide: Contents Guide: 58-62 Guide: 94-97 Practice: 20-23 Practice: 48-51 Practice: 84-87

Beast Academy 4C

Jason Batterson, Shannon Rogers. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 168 pages.

Beast Academy Guide 4C and its companion Practice 4C are the third part in the planned four-part series for 4th grade mathematics. Level 4C includes chapters on factors, fractions, and integers.

Guide and Practice $ 27.00

ARE YOU READY? Guide: Contents Guide: 32-35 Guide: 84-88 Practice: 28-31 Practice: 50-53 Practice: 82-85

Beast Academy 4D

Jason Batterson, Shannon Rogers. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 152 pages.

Beast Academy Guide 4D and its companion Practice 4D are the fourth part in the four-part series for 4th grade mathematics. Level 4D includes chapters on fractions, decimals, and probability.

Guide and Practice $ 27.00

ARE YOU READY? Guide: Contents Guide: 26-29 Guide: 90-93 Practice: 8-11 Practice: 46-49 Practice: 74-77

Beast Academy 5A

Jason Batterson, Shannon Rogers, Kyle Guillet. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 160 pages.

Beast Academy provides a fun, rigorous, challenging, complete curriculum for aspiring math beasts. Level 5A includes chapters on 3D solids, integers, and expressions & equations.

The guide is written in an engaging comic book style, and the practice book provides over 500 problems ranging from introductory level exercises to very challenging puzzles and word problems.

Guide and Practice $ 27.00

ARE YOU READY? Guide: Contents Guide: 26-30 Guide: 84-87 Practice: 14-17 Practice: 36-39 Practice: 76-78

Beast Academy 5B

Jason Batterson, Shannon Rogers, Kyle Guillet. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 160 pages.

Beast Academy provides a fun, rigorous, challenging, complete curriculum for aspiring math beasts. Level 5B includes chapters on Statistics, Factors & Multiples, and Fractions.

The guide is written in an engaging comic book style, and the practice book provides over 500 problems ranging from introductory level exercises to very challenging puzzles and word problems.

Guide and Practice $ 27.00

ARE YOU READY? Guide: Contents Guide: 28-31 Guide: 58-61 Practice: 12-15 Practice: 46-49 Practice: 84-85

Beast Academy 5C

Jason Batterson. Illustrated by Erich Owen.

Paperback

Guide: 104 pages. Practice: 160 pages.

Beast Academy provides a fun, rigorous, challenging, complete curriculum for aspiring math beasts. Level 5C includes chapters on Sequences, Ratios & Rates, and Decimals.

The guide is written in an engaging comic book style, and the practice book provides nearly 600 problems ranging from introductory level exercises to very challenging puzzles and word problems.

Guide and Practice $ 27.00

ARE YOU READY? Guide: Contents Guide: 19-21 Guide: 48-50 Practice: 18-20 Practice: 44-47 Practice: 70-73

Beast Academy 5D

Jason Batterson, Shannon Rogers, Kyle Guillet, and Chris Page. Illustrated by Erich Owen.

Paperback

Guide: 112 pages. Practice: 144 pages.

Beast Academy provides a fun, rigorous, challenging, complete curriculum for aspiring math beasts. Level 5D includes chapters on percents, square roots, and exponents.

The guide is written in an engaging comic book style, and the practice book provides nearly 600 problems ranging from introductory level exercises to very challenging puzzles and word problems.

Other Books & Gear

In addition to our own AoPS books, we also offer various AoPS paraphernalia and a selection of books from other publishers.

$ 15.00

Art of Problem Solving T-shirt

Show your AoPS pride with our new AoPS T-Shirt! 100% preshrunk cotton. All sizes are adult men's sizes.

$ 35.00

Art of Problem Solving Hoodie

Show your AoPS pride in this cozy navy hoodie! All sizes are adult men's sizes.

$ 15.00

Art of Problem Solving Algebra T-Shirt

100% preshrunk cotton T-shirt with white print featuring a variety of Algebra formulas and notes! All sizes are adult men's sizes.

$ 15.00

Beast Academy T‑Shirt

Do math in style with the whole Beast Academy crew! 100% preshrunk cotton T-shirt. We have youth, men's, and women's sizes.

$ 21.95

Kitchen Table Math Book 1

Chris Wright

Paperback

282 pages.

For parents of children ages 2-8. A step-by-step guide to how you can help your child develop good math skills and do well in school. It also includes activities and games so that you and your child can have fun while exploring these early stages of your child's mathematical journey.

$ 21.95

Kitchen Table Math Book 2

Chris Wright

Paperback

280 pages.

This book covers arithmetic at the elementary school level. In addition to the arithmetic, this book plays with numbers with chapters on number sense, number theory, number bases, and the history of numbers.

$ 21.95

Kitchen Table Math Book 3

Chris Wright

Paperback

254 pages.

This book covers the non-arithmetic aspects of elementary school mathematics. It starts with chapters on solving equations and then uses that skill to solve many kinds of word problems. This is followed by chapters on reasoning, probability and counting, statistics and graphing, geometry, measurements, and money.

$ 37.99

Creative Problem Solving in School Mathematics

Dr. George Lenchner

Paperback

284 pages.

A collection of lessons and challenging problems for beginning problem solvers in grades 4-8. Written by the creator of the popular Math Olympiads for Elementary and Middle Schools program.

$ 35.95

MOEMS Contest Problems for Elementary and Middle Schools

Dr. George Lenchner

Paperback

280 pages.

A collection of sixteen years (400 problems!) of the Math Olympiads for Elementary and Middle Schools contests, with hints, complete solutions, and problem solving lessons. Ideal for beginners grades 4-8.

$ 37.95

MOEMS Contest Problems: Volume 2

Richard Kalman, Ed.

Paperback

309 pages.

A collection of 425 problems of the Math Olympiads for Elementary and Middle Schools contests, with hints, complete solutions, and problem solving lessons. Ideal for beginners grades 4-8.

$ 39.95

MOEMS Contest Problems: Volume 3

Richard Kalman & Nicholas J. Restivo, Eds.

Paperback

294 pages.

A collection of 400 problems of the Math Olympiads for Elementary and Middle Schools contests from 2005-2013, with hints, complete solutions, and problem solving lessons. Ideal for beginners grades 4-8.

$ 35.00

Practice Competitions for MATHCOUNTS

Josh Frost

Paperback

128 pages.

A collection of 4 complete practice competitions (including Sprint, Target, and Team rounds) for MATHCOUNTS. Includes full solutions to every problem.

$ 35.00

Practice Competitions for MATHCOUNTS Volume 2

Josh Frost

Paperback

144 pages.

A collection of 4 complete practice competitions (including Sprint, Target, and Team rounds) for MATHCOUNTS. Includes full solutions to every problem.

American Mathematics Competitions

For more than 60 years, students across the country have taken up the challenge of America's longest-running and most prestigious math contests, the American Mathematics Competitions (AMC). Over 300,000 students each year participate in the AMC 8, AMC 10, or AMC 12 contests, with many students continuing on to the invitational AIME and USA(J)MO contests. The Mathematical Association of America administers the contests and publishes a series of books to help students prepare.

$ 35.00

Contest Problem Book VI

Leo J. Schneider

Paperback

212 pages.

Past problems with complete solutions from the American High School Mathematics Exam (now called the AMC 12), which is the first test in the series of contests that determines the United States International Math Olympiad team. This book includes tests from 1989-1994.

$ 51.00

Contest Problem Book VII

Harold Reiter

Paperback

183 pages.

Past problems with complete solutions from the American Mathematics Contests (AMC 10 and AMC 12), which is the first test in the series of contests that determines the United States International Math Olympiad team. This book includes tests from 1995-2000, including the 50th Anniversary AHSME issued in 1999.

$ 51.00

Contest Problem Book VIII

J. Douglas Faires and David Wells

Paperback

212 pages.

Past problems with complete solutions from the American Mathematics Competitions 10 (AMC 10), which is one of the first tests in the series of contests that determines the United States International Math Olympiad team. This book includes all AMC 10 tests from 2000-2007.

$ 51.00

Contest Problem Book IX

David Wells and J. Douglas Faires

Paperback

230 pages.

Past problems with complete solutions from the American Mathematics Competitions 12 (AMC 12), which is one of the first tests in the series of contests that determines the United States International Math Olympiad team. This book includes all AMC 12 tests from 2001-2007.

$ 55.00

First Steps for Math Olympians

J. Douglas Faires

Hardcover

307 pages.

Lessons, examples, and exercises on topics useful for the AMC 10 and AMC 12. Ideal for self study for the AMC exams and as a teaching resource for instructors developing lessons on various topics.

$ 25.00

Mandelbrot Morsels

Sam Vandervelde

Paperback

180 pages.

Past problems with complete solutions from The Mandelbrot Competition 2002-09. Contains problems that are excellent practice for the American Mathematics Competitions as well as excellent problems for students first learning how to tackle challenging proof problems.

$ 23.00

The Mandelbrot Problem Book

Sam Vandervelde

Paperback

148 pages.

Past problems with complete solutions from years 1995-2002 of The Mandelbrot Competition. Contains problems that are excellent practice for the American Mathematics Competitions as well as excellent problems for students first learning how to tackle challenging proof problems.

$ 20.00

The First Five Years

Sam Vandervelde

Spiralbound

112 pages.

Past problems with complete solutions from the first five years (1990-95) of The Mandelbrot Competition. Contains problems that are excellent practice for the American Mathematics Competitions as well as excellent problems for students first learning how to tackle challenging proof problems.

$ 24.95

UKMT Crossing the Bridge

Gerry Leversha

Paperback

200 pages.

Crossing the Bridge provides a course on geometry for use in the classroom. It re-emphasises some traditional features of geometrical education and the bulk of the text is devoted to carefully constructed exercises, either for classroom discussion or individual study.

$ 24.95

UKMT Introduction to Inequalities

C. J. Bradley

Paperback

210 pages.

This text on inequalities covers material useful for high school national and international olympiads. The text includes materials used for training the United Kingdom Olympiad team.

$ 24.95

UKMT Introduction to Number Theory

C. J. Bradley

Paperback

200 pages.

This text on number theory covers material useful for high school national and international olympiads. The text includes materials used for training the United Kingdom Olympiad team.

$ 24.95

UKMT New Problems in Euclidean Geometry

David Monk

Paperback

128 pages.

This book should appeal to anyone who enjoys solving the kind of challenging and attractive geometry problems that have virtually vanished from the school curriculum, but which still play a central role in national and international mathematics competitions.

$ 24.95

UKMT Plane Euclidean Geometry: Theory and Problems

A D Gardiner and C J Bradley

Paperback

264 pages.

This geometry text offers beginning and advanced geometric problem solving tactics, as well as numerous practice problems. The book is most appropriate for experienced geometers who are learning how to take on more challenging geometry problems, such as those offered at the high school olympiad level.

$ 24.95

UKMT A Mathematical Olympiad Primer

Geoff Smith

Paperback

251 pages.

New second edition! A Mathematical Olympiad Primer is an excellent guide for young mathematicians preparing for competitions, such as the British Mathematical Olympiad. The book contains theory including algebra, combinatorics and geometry, and BMO1 Problems and Solutions from 1996 onwards. This is the revised and expanded 2nd Edition.

$ 24.95

UKMT Ten Years of Mathematical Challenges: 1997 to 2006

UK Mathematics Trust

Paperback

188 pages.

This 188-page book contains problems and solutions for 10 Junior Challenges (1997-2006), 10 Intermediate Challenges (1997-2006) and 9 Senior Challenges (1997-2005) in the United Kingdom. These tests correspond roughly to the AMC 8, AMC 10, and AMC 12, respectively.

$ 69.95

Mathematical Reflections: the first two years

Titu Andreescu (Editor)

Hardcover

632 pages.

A compilation and revision of the 2006 and 2007 volumes from the online journal Mathematical Reflections.

AoPS Curriculum

Introductory Curriculum

Intermediate Curriculum

Problem Solving Series

Beast Academy

Grade 2

Grade 3

Grade 4

Grade 5

Other Books & Gear

Shirts

Kitchen Table Math

MOEMS

MATHCOUNTS

American Mathematics Competitions

Mandelbrot

Other Books