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Click here to Ask AoPS!AoPS Curriculum
What would you like to study?
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.
Introductory Curriculum
Our Introduction series serves as a complete curriculum for students in grades 6-10.
The series covers the standard Prealgebra-Algebra-Geometry sequence, but at a more advanced
level and with more challenging problems than a typical curriculum. The series also covers
important discrete math topics in Counting & Probability and Number Theory that are usually
underrepresented in typical middle-school and high-school curricula.
Text and Solutions $ 57.00
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
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
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
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
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.
Intermediate Curriculum
Our Intermediate series serves as a complete curriculum for advanced high-school students.
The books in this series are more challenging and rigorous than most standard textbooks
and contain many topics not normally covered in the typical high-school curriculum.
These books lay a foundation for further study at the university level in higher mathematics,
physics, engineering, or computer science.
Text and Solutions $ 69.00
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
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
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
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.
Problem Solving Series
Our classic Art of Problem Solving texts have been used for over 20 years by students
preparing for prestigious math contests such as MATHCOUNTS and the American Mathematics
Competitions (AMC). These texts are not just a collection of "tricks": the emphasis is
on learning and understanding methods for problem-solving, which enables students to
solve a large variety of challenging problems.
Text and Solutions $ 45.00
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
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.
Competition Math for Middle School
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
What would you like to study?
Beast Academy is our curriculum for students ages 8–13. Each level 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.
Visit BeastAcademy.com to learn more about our Beast Academy Online learning system.
Grade 2
Guide and Practice $ 27.00
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 students ages 8–9. Level 2A includes chapters on place value, comparing numbers, and addition.
Guide and Practice $ 27.00
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 students ages 8–9. Level 2B includes chapters on subtraction, expressions, and problem solving.
Guide and Practice $ 27.00
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 students ages 8–9. Level 2C includes chapters on measurement, addition and subtraction strategies, and odds & evens.
Guide and Practice $ 27.00
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 students ages 8–9. Level 2D includes chapters on big numbers, algorithms, and problem solving.
Beast Academy Puzzles 2
Paperback
200 pages.
Beast Academy Puzzles 2 contains over 400 puzzles in 12 different styles that will delight puzzle solvers ages 8 and up. It can be used by itself or as a supplement to the full Beast Academy level 2 curriculum.
Grade 3
Guide and Practice $ 27.00
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 students ages 9–10. Level 3A includes chapters on shape classification, skip-counting, and perimeter and area.
Guide and Practice $ 27.00
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 students ages 9–10. Level 3B includes chapters on multiplication, perfect squares, and the distributive property.
Guide and Practice $ 27.00
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 students ages 9–10. Level 3C includes chapters on variables, division, and units and measure.
Guide and Practice $ 27.00
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 students ages 9–10. Level 3D includes chapters on fractions, estimation, and area.
Grade 4
Guide and Practice $ 27.00
Paperback
Guide: 112 pages. Practice: 176 pages.
Beast Academy Guide 4A and its companion Practice 4A are the first part in a four-part series for students ages 10–12. Level 4A includes chapters on shapes, multiplication, and exponents.
Guide and Practice $ 27.00
Paperback
Guide: 112 pages. Practice: 152 pages.
Beast Academy Guide 4B and its companion Practice 4B are the second part in a four-part series for students ages 10–12. Level 4B includes chapters on counting, division, and logic.
Guide and Practice $ 27.00
Paperback
Guide: 112 pages. Practice: 168 pages.
Beast Academy Guide 4C and its companion Practice 4C are the third part in a four-part series for students ages 10–12. Level 4C includes chapters on factors, fractions, and integers.
Guide and Practice $ 27.00
Paperback
Guide: 112 pages. Practice: 152 pages.
Beast Academy Guide 4D and its companion Practice 4D are the fourth part in a four-part series for students ages 10–12. Level 4D includes chapters on fractions, decimals, and probability.
Grade 5
Guide and Practice $ 27.00
Paperback
Guide: 112 pages. Practice: 160 pages.
Beast Academy Guide 5A and its companion Practice 5A are the first part in a four-part series for students ages 11–13. Level 5A includes chapters on 3D solids, integers, and expressions & equations.
Guide and Practice $ 27.00
Paperback
Guide: 112 pages. Practice: 160 pages.
Beast Academy Guide 5B and its companion Practice 5B are the second part in a four-part series for students ages 11–13. Level 5B includes chapters on statistics, factors & multiples, and fractions.
Guide and Practice $ 27.00
Paperback
Guide: 104 pages. Practice: 160 pages.
Beast Academy Guide 5C and its companion Practice 5C are the third part in a four-part series for students ages 11–13. Level 5C includes chapters on sequences, ratios & rates, and decimals.
Guide and Practice $ 27.00
Paperback
Guide: 112 pages. Practice: 144 pages.
Beast Academy Guide 5D and its companion Practice 5D are the fourth part in a four-part series for students ages 11–13. Level 5D includes chapters on percents, square roots, and exponents.
Other Books & Gear
What would you like to study?
In addition to our own AoPS books, we also offer various
AoPS paraphernalia and a selection of books from other publishers.
Shirts
$ 15.00
Show your AoPS pride with our new AoPS T-Shirt! 100% cotton. All sizes are adult men's sizes.
$ 35.00
Show your AoPS pride in this cozy navy hoodie! All sizes are adult men's sizes.
$ 15.00
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
Do math in style with the whole Beast Academy crew! 100% Ringspun cotton T-shirt. We have youth, men's, and women's sizes.
Kitchen Table Math
The Kitchen Table Math books, by Dr. Chris Wright, are written for parents of children ages 2-8.
The books are step-by-step guides to how you can help your child develop strong math skills.
They include activities and games that you can use at home with your child, so that you and
your child can have fun while developing crucial mathematical skills.
$ 21.95
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
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
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.
MOEMS
Math Olympiads for Elementary and Middle Schools, founded in 1977, are problem-solving
contests for students in grades 4-8. MOEMS publishes the books shown below to help students
and teachers prepare for their contests.
$ 37.99
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
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
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
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.
MATHCOUNTS
MATHCOUNTS is the premier mathematics contest for U.S. students in grades 6-8, with
over 100,000 students participating annually. AoPS is proud to be a MATHCOUNTS National
Sponsor, and we offer two collections of MATHCOUNTS practice competitions, by 2-time
National Champion coach Josh Frost.
$ 35.00
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
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
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
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
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
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
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.
Mandelbrot
The Mandelbrot Competition is a year-long high-school-level math contest run by Greater Testing
Concepts. The competition was co-founded in 1990 by AoPS founder Richard Rusczyk. Greater
Testing Concepts publishes books of past years' contests, written by co-founder and current
director Sam Vandervelde.
$ 25.00
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
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
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.
Other Books
The United Kingdom Mathematics Trust organizes national mathematics competitions and
other math enrichment activities for students aged 11-18 in the UK. We are pleased
to offer a selection of their publications here in the US. We also offer a pair
of books by Titu Andreescu.
$ 24.95
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
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
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
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
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
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
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
Hardcover
632 pages.
A compilation and revision of the 2006 and 2007 volumes from the online journal Mathematical Reflections.
