WABA WABA WABA WABA

This article has been proposed for deletion. The reason given is: Test page.

Sysops: Before deleting this article, please check the article discussion pages and history.

WABA WABA WABA WABA Editing WABA WABA WABA WABA WABA WABA WABA WABA

Summary: 255 This is a minor edit Watch this page Please note that all contributions to AoPS Wiki may be edited, altered, or removed by other contributors. If you do not want your writing to be edited mercilessly, then do not submit it here. You are also promising us that you wrote this yourself, or copied it from a public domain or similar free resource (see AoPS Wiki:Copyrights for details). Do not submit copyrighted work without permission!

   Editing help (opens in new window)

Art of Problem Solving is an ACS WASC Accredited School

AOPS PROGRAMS AoPS Online Beast Academy AoPS Academy ABOUT Our Team Our History Jobs SITE INFO Terms Privacy Contact Us FOLLOW US

Training Today's Brightest Minds to Solve Tomorrow's Problems AoPS Online helps motivated students in grades 5-12 become successful, creative problem solvers.

ONLINE COURSES Join our live online classes with talented peers and expert instructors.


Enroll Now MATH TEXTBOOKS Gain the critical problem-solving strategies you need for success.


Shop Now Video Thumbnail More Than Just Another Online Class The AoPS curriculum stretches students to their full potential, while our online school connects eager students with inspiring peers and accomplished instructors. We give many of these students their first taste of a world beyond traditional math. A world filled with challenging, intriguing problems that require creativity and persistence to solve. A world where they have access to impressive mentors and role models. And most importantly, a world filled with inspiring peers who share their love of learning—peers that they often first met in AoPS classes and the AoPS online community. Class Categories

Introductory Math Prealgebra to Geometry GRADES 5–10+ VIEW

Intermediate Math Intermediate Algebra to Precalculus GRADES 8–12+ VIEW

Advanced Math Calculus to Olympiad Geometry GRADES 9–12+ VIEW

Contest Math Preparation for Math Competitions GRADES 6–12 VIEW

WOOT Programs Worldwide Online Olympiad Training GRADES 9–12 VIEW

Computer Science Programming Classes GRADES 6–12+ VIEW VIEW FULL COURSE LIST Our Books

Introductory Series Complete curriculum covering Prealgebra through Geometry in depth. Suitable for grades 5–10. VIEW BOOKS

Intermediate & Advanced Challenging textbooks that prepare students for advanced mathematical subjects in high school, college, and beyond. Suitable for grades 8–12. VIEW BOOKS

Contest Preparation Problem-solving guides that math competition winners have relied on for more than 25 years, written by people who have won medals in national math contests, including MATHCOUNTS, the AMC, the AIME, and the USAMO. Suitable for grades 6–12. VIEW BOOKS VIEW ALL BOOKS Resources

Alcumus Alcumus is our free adaptive learning system. It offers students a customized learning experience, adjusting to their performance to deliver problems that will challenge them appropriately. Alcumus is aligned to our Introductory Math, Intermediate Algebra, and Precalculus online courses and textbooks. START LEARNING

Videos Our video library offers hundreds of videos featuring AoPS founder Richard Rusczyk. Many of the videos are aligned to our Prealgebra, Introduction to Algebra, and Introduction to Counting & Probability books and classes. WATCH NOW

MATHCOUNTS Trainer The MATHCOUNTS Trainer has thousands of problems from previous School, Chapter, State, and National MATHCOUNTS competitions. Full solutions are provided for every problem so aspiring MATHCOUNTS mathletes can learn how to approach even the toughest questions. START TRAINING

For the Win! Compete with middle school students from around the world with For the Win! (FTW), inspired by the MATHCOUNTS Countdown Round. START PLAYING VIEW ALL RESOURCES Community Forums Middle School Math High School Math Contests and Programs High School Olympiads College Math Site Support VISIT COMMUNITY Our experience over the last five months with AoPS's Prealgebra course has been transformational! Our kids used to dread math—but now they're discussing math together while we’re hiking, having dinner, or visiting with family. Wow! Jean R. AoPS courses are a wonderful balance of challenge and guidance, constantly stretching students and inviting them to wrestle with problems at their own pace until they reach epiphanies. Bravo! I wish AoPS had been around when I was in high school. AoPS Online Parent My son is eating your classes up. He is pumped for each Wednesday and has to really work to solve the problems. He's always loved math, but cannot get enough of it now. Way to provide the best educational product this Dad has found anywhere! John C. I'm impressed at how much my son loved Precalculus. Sometimes he spent two days on his written proofs! I love that students weren't treated with kid gloves but instead afforded respect as burgeoning mathematicians. Now he's looking forward to Calculus. My daughter was already very good at math before she took Prealgebra through AoPS. Since then, she's become an even stronger and more confident problem solver while progressing through the curriculum. Russell We were incredibly lucky to have three passionate instructors in ChemWOOT who were able to capture the beauty and diversity of chemistry. This class was like a reaction chamber of some of the most motivated chemistry students in the country. The experience was really powerful. AoPS Online Student I've definitely developed a lot more confidence in math since taking AoPS Introduction to Geometry. In the process of doing harder problems than I ever knew I could, I've also begun to see geometry as an art. I'm enjoying math more and more! AoPS Online Student Great course! I'm a senior in high school and I decided to take Intermediate Counting & Probability because I'd never been exposed to problem-solving math before, let alone discrete math. Now, I feel ready to take the 400-level combinatorics sequence at college in a few months, and my problem-solving skills have improved a lot. AoPS Online Student Where I live, calculus is not offered in high school, so I've really treasured my AoPS Calculus class and everything I've learned. Thank you again for this incredible opportunity! Jorge Castello My instructor was great. I really enjoyed having a woman instructor as a role model and just an all-around-great mathematician! She was always willing to offer advice and knew just how many hints to give to keep problems doable but still satisfying. AoPS Online Student Every class I've taken with AoPS has been fantastic. Everyone does a great job helping students succeed while enjoying the process of learning math. I love that the students themselves are always open to helping each other out. Matthew The combination of videos, textbooks, on-line problems and book problems has been fantastic for our boys. I love that they can do this at their own pace, and how motivated they feel now they're be in charge of their own learning. AoPS Online Parent

Art of Problem Solving is an ACS WASC Accredited School

AOPS PROGRAMS AoPS Online Beast Academy AoPS Academy ABOUT About AoPS Our Team Our History Jobs SITE INFO Terms Privacy Contact Us FOLLOW US


SUBSCRIBE FOR NEWS AND UPDATES Enter e-mail © 2020 AoPS IncorporatedTraining Today's Brightest Minds to Solve Tomorrow's Problems AoPS Online helps motivated students in grades 5-12 become successful, creative problem solvers.

ONLINE COURSES Join our live online classes with talented peers and expert instructors.


Enroll Now MATH TEXTBOOKS Gain the critical problem-solving strategies you need for success.


Shop Now Video Thumbnail More Than Just Another Online Class The AoPS curriculum stretches students to their full potential, while our online school connects eager students with inspiring peers and accomplished instructors. We give many of these students their first taste of a world beyond traditional math. A world filled with challenging, intriguing problems that require creativity and persistence to solve. A world where they have access to impressive mentors and role models. And most importantly, a world filled with inspiring peers who share their love of learning—peers that they often first met in AoPS classes and the AoPS online community. Class Categories

Introductory Math Prealgebra to Geometry GRADES 5–10+ VIEW

Intermediate Math Intermediate Algebra to Precalculus GRADES 8–12+ VIEW

Advanced Math Calculus to Olympiad Geometry GRADES 9–12+ VIEW

Contest Math Preparation for Math Competitions GRADES 6–12 VIEW

WOOT Programs Worldwide Online Olympiad Training GRADES 9–12 VIEW

Computer Science Programming Classes GRADES 6–12+ VIEW VIEW FULL COURSE LIST Our Books

Introductory Series Complete curriculum covering Prealgebra through Geometry in depth. Suitable for grades 5–10. VIEW BOOKS

Intermediate & Advanced Challenging textbooks that prepare students for advanced mathematical subjects in high school, college, and beyond. Suitable for grades 8–12. VIEW BOOKS

Contest Preparation Problem-solving guides that math competition winners have relied on for more than 25 years, written by people who have won medals in national math contests, including MATHCOUNTS, the AMC, the AIME, and the USAMO. Suitable for grades 6–12. VIEW BOOKS VIEW ALL BOOKS Resources

Alcumus Alcumus is our free adaptive learning system. It offers students a customized learning experience, adjusting to their performance to deliver problems that will challenge them appropriately. Alcumus is aligned to our Introductory Math, Intermediate Algebra, and Precalculus online courses and textbooks. START LEARNING

Videos Our video library offers hundreds of videos featuring AoPS founder Richard Rusczyk. Many of the videos are aligned to our Prealgebra, Introduction to Algebra, and Introduction to Counting & Probability books and classes. WATCH NOW

MATHCOUNTS Trainer The MATHCOUNTS Trainer has thousands of problems from previous School, Chapter, State, and National MATHCOUNTS competitions. Full solutions are provided for every problem so aspiring MATHCOUNTS mathletes can learn how to approach even the toughest questions. START TRAINING

For the Win! Compete with middle school students from around the world with For the Win! (FTW), inspired by the MATHCOUNTS Countdown Round. START PLAYING VIEW ALL RESOURCES Community Forums Middle School Math High School Math Contests and Programs High School Olympiads College Math Site Support VISIT COMMUNITY Our experience over the last five months with AoPS's Prealgebra course has been transformational! Our kids used to dread math—but now they're discussing math together while we’re hiking, having dinner, or visiting with family. Wow! Jean R. AoPS courses are a wonderful balance of challenge and guidance, constantly stretching students and inviting them to wrestle with problems at their own pace until they reach epiphanies. Bravo! I wish AoPS had been around when I was in high school. AoPS Online Parent My son is eating your classes up. He is pumped for each Wednesday and has to really work to solve the problems. He's always loved math, but cannot get enough of it now. Way to provide the best educational product this Dad has found anywhere! John C. I'm impressed at how much my son loved Precalculus. Sometimes he spent two days on his written proofs! I love that students weren't treated with kid gloves but instead afforded respect as burgeoning mathematicians. Now he's looking forward to Calculus. My daughter was already very good at math before she took Prealgebra through AoPS. Since then, she's become an even stronger and more confident problem solver while progressing through the curriculum. Russell We were incredibly lucky to have three passionate instructors in ChemWOOT who were able to capture the beauty and diversity of chemistry. This class was like a reaction chamber of some of the most motivated chemistry students in the country. The experience was really powerful. AoPS Online Student I've definitely developed a lot more confidence in math since taking AoPS Introduction to Geometry. In the process of doing harder problems than I ever knew I could, I've also begun to see geometry as an art. I'm enjoying math more and more! AoPS Online Student Great course! I'm a senior in high school and I decided to take Intermediate Counting & Probability because I'd never been exposed to problem-solving math before, let alone discrete math. Now, I feel ready to take the 400-level combinatorics sequence at college in a few months, and my problem-solving skills have improved a lot. AoPS Online Student Where I live, calculus is not offered in high school, so I've really treasured my AoPS Calculus class and everything I've learned. Thank you again for this incredible opportunity! Jorge Castello My instructor was great. I really enjoyed having a woman instructor as a role model and just an all-around-great mathematician! She was always willing to offer advice and knew just how many hints to give to keep problems doable but still satisfying. AoPS Online Student Every class I've taken with AoPS has been fantastic. Everyone does a great job helping students succeed while enjoying the process of learning math. I love that the students themselves are always open to helping each other out. Matthew The combination of videos, textbooks, on-line problems and book problems has been fantastic for our boys. I love that they can do this at their own pace, and how motivated they feel now they're be in charge of their own learning. AoPS Online Parent

Art of Problem Solving is an ACS WASC Accredited School

AOPS PROGRAMS AoPS Online Beast Academy AoPS Academy ABOUT About AoPS Our Team Our History Jobs SITE INFO Terms Privacy Contact Us FOLLOW US


SUBSCRIBE FOR NEWS AND UPDATES Enter e-mail © 2020 AoPS IncorporatedTraining Today's Brightest Minds to Solve Tomorrow's Problems AoPS Online helps motivated students in grades 5-12 become successful, creative problem solvers.

ONLINE COURSES Join our live online classes with talented peers and expert instructors.


Enroll Now MATH TEXTBOOKS Gain the critical problem-solving strategies you need for success.


Shop Now Video Thumbnail More Than Just Another Online Class The AoPS curriculum stretches students to their full potential, while our online school connects eager students with inspiring peers and accomplished instructors. We give many of these students their first taste of a world beyond traditional math. A world filled with challenging, intriguing problems that require creativity and persistence to solve. A world where they have access to impressive mentors and role models. And most importantly, a world filled with inspiring peers who share their love of learning—peers that they often first met in AoPS classes and the AoPS online community. Class Categories

Introductory Math Prealgebra to Geometry GRADES 5–10+ VIEW

Intermediate Math Intermediate Algebra to Precalculus GRADES 8–12+ VIEW

Advanced Math Calculus to Olympiad Geometry GRADES 9–12+ VIEW

Contest Math Preparation for Math Competitions GRADES 6–12 VIEW

WOOT Programs Worldwide Online Olympiad Training GRADES 9–12 VIEW

Computer Science Programming Classes GRADES 6–12+ VIEW VIEW FULL COURSE LIST Our Books

Introductory Series Complete curriculum covering Prealgebra through Geometry in depth. Suitable for grades 5–10. VIEW BOOKS

Intermediate & Advanced Challenging textbooks that prepare students for advanced mathematical subjects in high school, college, and beyond. Suitable for grades 8–12. VIEW BOOKS

Contest Preparation Problem-solving guides that math competition winners have relied on for more than 25 years, written by people who have won medals in national math contests, including MATHCOUNTS, the AMC, the AIME, and the USAMO. Suitable for grades 6–12. VIEW BOOKS VIEW ALL BOOKS Resources

Alcumus Alcumus is our free adaptive learning system. It offers students a customized learning experience, adjusting to their performance to deliver problems that will challenge them appropriately. Alcumus is aligned to our Introductory Math, Intermediate Algebra, and Precalculus online courses and textbooks. START LEARNING

Videos Our video library offers hundreds of videos featuring AoPS founder Richard Rusczyk. Many of the videos are aligned to our Prealgebra, Introduction to Algebra, and Introduction to Counting & Probability books and classes. WATCH NOW

MATHCOUNTS Trainer The MATHCOUNTS Trainer has thousands of problems from previous School, Chapter, State, and National MATHCOUNTS competitions. Full solutions are provided for every problem so aspiring MATHCOUNTS mathletes can learn how to approach even the toughest questions. START TRAINING

For the Win! Compete with middle school students from around the world with For the Win! (FTW), inspired by the MATHCOUNTS Countdown Round. START PLAYING VIEW ALL RESOURCES Community Forums Middle School Math High School Math Contests and Programs High School Olympiads College Math Site Support VISIT COMMUNITY Our experience over the last five months with AoPS's Prealgebra course has been transformational! Our kids used to dread math—but now they're discussing math together while we’re hiking, having dinner, or visiting with family. Wow! Jean R. AoPS courses are a wonderful balance of challenge and guidance, constantly stretching students and inviting them to wrestle with problems at their own pace until they reach epiphanies. Bravo! I wish AoPS had been around when I was in high school. AoPS Online Parent My son is eating your classes up. He is pumped for each Wednesday and has to really work to solve the problems. He's always loved math, but cannot get enough of it now. Way to provide the best educational product this Dad has found anywhere! John C. I'm impressed at how much my son loved Precalculus. Sometimes he spent two days on his written proofs! I love that students weren't treated with kid gloves but instead afforded respect as burgeoning mathematicians. Now he's looking forward to Calculus. My daughter was already very good at math before she took Prealgebra through AoPS. Since then, she's become an even stronger and more confident problem solver while progressing through the curriculum. Russell We were incredibly lucky to have three passionate instructors in ChemWOOT who were able to capture the beauty and diversity of chemistry. This class was like a reaction chamber of some of the most motivated chemistry students in the country. The experience was really powerful. AoPS Online Student I've definitely developed a lot more confidence in math since taking AoPS Introduction to Geometry. In the process of doing harder problems than I ever knew I could, I've also begun to see geometry as an art. I'm enjoying math more and more! AoPS Online Student Great course! I'm a senior in high school and I decided to take Intermediate Counting & Probability because I'd never been exposed to problem-solving math before, let alone discrete math. Now, I feel ready to take the 400-level combinatorics sequence at college in a few months, and my problem-solving skills have improved a lot. AoPS Online Student Where I live, calculus is not offered in high school, so I've really treasured my AoPS Calculus class and everything I've learned. Thank you again for this incredible opportunity! Jorge Castello My instructor was great. I really enjoyed having a woman instructor as a role model and just an all-around-great mathematician! She was always willing to offer advice and knew just how many hints to give to keep problems doable but still satisfying. AoPS Online Student Every class I've taken with AoPS has been fantastic. Everyone does a great job helping students succeed while enjoying the process of learning math. I love that the students themselves are always open to helping each other out. Matthew The combination of videos, textbooks, on-line problems and book problems has been fantastic for our boys. I love that they can do this at their own pace, and how motivated they feel now they're be in charge of their own learning. AoPS Online Parent

Art of Problem Solving is an ACS WASC Accredited School

AOPS PROGRAMS AoPS Online Beast Academy AoPS Academy ABOUT About AoPS Our Team Our History Jobs SITE INFO Terms Privacy Contact Us FOLLOW US


SUBSCRIBE FOR NEWS AND UPDATES Enter e-mail © 2020 AoPS IncorporatedTraining Today's Brightest Minds to Solve Tomorrow's Problems AoPS Online helps motivated students in grades 5-12 become successful, creative problem solvers.

ONLINE COURSES Join our live online classes with talented peers and expert instructors.


Enroll Now MATH TEXTBOOKS Gain the critical problem-solving strategies you need for success.


Shop Now Video Thumbnail More Than Just Another Online Class The AoPS curriculum stretches students to their full potential, while our online school connects eager students with inspiring peers and accomplished instructors. We give many of these students their first taste of a world beyond traditional math. A world filled with challenging, intriguing problems that require creativity and persistence to solve. A world where they have access to impressive mentors and role models. And most importantly, a world filled with inspiring peers who share their love of learning—peers that they often first met in AoPS classes and the AoPS online community. Class Categories

Introductory Math Prealgebra to Geometry GRADES 5–10+ VIEW

Intermediate Math Intermediate Algebra to Precalculus GRADES 8–12+ VIEW

Advanced Math Calculus to Olympiad Geometry GRADES 9–12+ VIEW

Contest Math Preparation for Math Competitions GRADES 6–12 VIEW

WOOT Programs Worldwide Online Olympiad Training GRADES 9–12 VIEW

Computer Science Programming Classes GRADES 6–12+ VIEW VIEW FULL COURSE LIST Our Books

Introductory Series Complete curriculum covering Prealgebra through Geometry in depth. Suitable for grades 5–10. VIEW BOOKS

Intermediate & Advanced Challenging textbooks that prepare students for advanced mathematical subjects in high school, college, and beyond. Suitable for grades 8–12. VIEW BOOKS

Contest Preparation Problem-solving guides that math competition winners have relied on for more than 25 years, written by people who have won medals in national math contests, including MATHCOUNTS, the AMC, the AIME, and the USAMO. Suitable for grades 6–12. VIEW BOOKS VIEW ALL BOOKS Resources

Alcumus Alcumus is our free adaptive learning system. It offers students a customized learning experience, adjusting to their performance to deliver problems that will challenge them appropriately. Alcumus is aligned to our Introductory Math, Intermediate Algebra, and Precalculus online courses and textbooks. START LEARNING

Videos Our video library offers hundreds of videos featuring AoPS founder Richard Rusczyk. Many of the videos are aligned to our Prealgebra, Introduction to Algebra, and Introduction to Counting & Probability books and classes. WATCH NOW

MATHCOUNTS Trainer The MATHCOUNTS Trainer has thousands of problems from previous School, Chapter, State, and National MATHCOUNTS competitions. Full solutions are provided for every problem so aspiring MATHCOUNTS mathletes can learn how to approach even the toughest questions. START TRAINING

For the Win! Compete with middle school students from around the world with For the Win! (FTW), inspired by the MATHCOUNTS Countdown Round. START PLAYING VIEW ALL RESOURCES Community Forums Middle School Math High School Math Contests and Programs High School Olympiads College Math Site Support VISIT COMMUNITY Our experience over the last five months with AoPS's Prealgebra course has been transformational! Our kids used to dread math—but now they're discussing math together while we’re hiking, having dinner, or visiting with family. Wow! Jean R. AoPS courses are a wonderful balance of challenge and guidance, constantly stretching students and inviting them to wrestle with problems at their own pace until they reach epiphanies. Bravo! I wish AoPS had been around when I was in high school. AoPS Online Parent My son is eating your classes up. He is pumped for each Wednesday and has to really work to solve the problems. He's always loved math, but cannot get enough of it now. Way to provide the best educational product this Dad has found anywhere! John C. I'm impressed at how much my son loved Precalculus. Sometimes he spent two days on his written proofs! I love that students weren't treated with kid gloves but instead afforded respect as burgeoning mathematicians. Now he's looking forward to Calculus. My daughter was already very good at math before she took Prealgebra through AoPS. Since then, she's become an even stronger and more confident problem solver while progressing through the curriculum. Russell We were incredibly lucky to have three passionate instructors in ChemWOOT who were able to capture the beauty and diversity of chemistry. This class was like a reaction chamber of some of the most motivated chemistry students in the country. The experience was really powerful. AoPS Online Student I've definitely developed a lot more confidence in math since taking AoPS Introduction to Geometry. In the process of doing harder problems than I ever knew I could, I've also begun to see geometry as an art. I'm enjoying math more and more! AoPS Online Student Great course! I'm a senior in high school and I decided to take Intermediate Counting & Probability because I'd never been exposed to problem-solving math before, let alone discrete math. Now, I feel ready to take the 400-level combinatorics sequence at college in a few months, and my problem-solving skills have improved a lot. AoPS Online Student Where I live, calculus is not offered in high school, so I've really treasured my AoPS Calculus class and everything I've learned. Thank you again for this incredible opportunity! Jorge Castello My instructor was great. I really enjoyed having a woman instructor as a role model and just an all-around-great mathematician! She was always willing to offer advice and knew just how many hints to give to keep problems doable but still satisfying. AoPS Online Student Every class I've taken with AoPS has been fantastic. Everyone does a great job helping students succeed while enjoying the process of learning math. I love that the students themselves are always open to helping each other out. Matthew The combination of videos, textbooks, on-line problems and book problems has been fantastic for our boys. I love that they can do this at their own pace, and how motivated they feel now they're be in charge of their own learning. AoPS Online Parent

Art of Problem Solving is an ACS WASC Accredited School

AOPS PROGRAMS AoPS Online Beast Academy AoPS Academy ABOUT About AoPS Our Team Our History Jobs SITE INFO Terms Privacy Contact Us FOLLOW US


SUBSCRIBE FOR NEWS AND UPDATES Enter e-mail © 2020 AoPS IncorporatedTraining Today's Brightest Minds to Solve Tomorrow's Problems AoPS Online helps motivated students in grades 5-12 become successful, creative problem solvers.

ONLINE COURSES Join our live online classes with talented peers and expert instructors.


Enroll Now MATH TEXTBOOKS Gain the critical problem-solving strategies you need for success.


Shop Now Video Thumbnail More Than Just Another Online Class The AoPS curriculum stretches students to their full potential, while our online school connects eager students with inspiring peers and accomplished instructors. We give many of these students their first taste of a world beyond traditional math. A world filled with challenging, intriguing problems that require creativity and persistence to solve. A world where they have access to impressive mentors and role models. And most importantly, a world filled with inspiring peers who share their love of learning—peers that they often first met in AoPS classes and the AoPS online community. Class Categories

Introductory Math Prealgebra to Geometry GRADES 5–10+ VIEW

Intermediate Math Intermediate Algebra to Precalculus GRADES 8–12+ VIEW

Advanced Math Calculus to Olympiad Geometry GRADES 9–12+ VIEW

Contest Math Preparation for Math Competitions GRADES 6–12 VIEW

WOOT Programs Worldwide Online Olympiad Training GRADES 9–12 VIEW

Computer Science Programming Classes GRADES 6–12+ VIEW VIEW FULL COURSE LIST Our Books

Introductory Series Complete curriculum covering Prealgebra through Geometry in depth. Suitable for grades 5–10. VIEW BOOKS

Intermediate & Advanced Challenging textbooks that prepare students for advanced mathematical subjects in high school, college, and beyond. Suitable for grades 8–12. VIEW BOOKS

Contest Preparation Problem-solving guides that math competition winners have relied on for more than 25 years, written by people who have won medals in national math contests, including MATHCOUNTS, the AMC, the AIME, and the USAMO. Suitable for grades 6–12. VIEW BOOKS VIEW ALL BOOKS Resources

Alcumus Alcumus is our free adaptive learning system. It offers students a customized learning experience, adjusting to their performance to deliver problems that will challenge them appropriately. Alcumus is aligned to our Introductory Math, Intermediate Algebra, and Precalculus online courses and textbooks. START LEARNING

Videos Our video library offers hundreds of videos featuring AoPS founder Richard Rusczyk. Many of the videos are aligned to our Prealgebra, Introduction to Algebra, and Introduction to Counting & Probability books and classes. WATCH NOW

MATHCOUNTS Trainer The MATHCOUNTS Trainer has thousands of problems from previous School, Chapter, State, and National MATHCOUNTS competitions. Full solutions are provided for every problem so aspiring MATHCOUNTS mathletes can learn how to approach even the toughest questions. START TRAINING

For the Win! Compete with middle school students from around the world with For the Win! (FTW), inspired by the MATHCOUNTS Countdown Round. START PLAYING VIEW ALL RESOURCES Community Forums Middle School Math High School Math Contests and Programs High School Olympiads College Math Site Support VISIT COMMUNITY Our experience over the last five months with AoPS's Prealgebra course has been transformational! Our kids used to dread math—but now they're discussing math together while we’re hiking, having dinner, or visiting with family. Wow! Jean R. AoPS courses are a wonderful balance of challenge and guidance, constantly stretching students and inviting them to wrestle with problems at their own pace until they reach epiphanies. Bravo! I wish AoPS had been around when I was in high school. AoPS Online Parent My son is eating your classes up. He is pumped for each Wednesday and has to really work to solve the problems. He's always loved math, but cannot get enough of it now. Way to provide the best educational product this Dad has found anywhere! John C. I'm impressed at how much my son loved Precalculus. Sometimes he spent two days on his written proofs! I love that students weren't treated with kid gloves but instead afforded respect as burgeoning mathematicians. Now he's looking forward to Calculus. My daughter was already very good at math before she took Prealgebra through AoPS. Since then, she's become an even stronger and more confident problem solver while progressing through the curriculum. Russell We were incredibly lucky to have three passionate instructors in ChemWOOT who were able to capture the beauty and diversity of chemistry. This class was like a reaction chamber of some of the most motivated chemistry students in the country. The experience was really powerful. AoPS Online Student I've definitely developed a lot more confidence in math since taking AoPS Introduction to Geometry. In the process of doing harder problems than I ever knew I could, I've also begun to see geometry as an art. I'm enjoying math more and more! AoPS Online Student Great course! I'm a senior in high school and I decided to take Intermediate Counting & Probability because I'd never been exposed to problem-solving math before, let alone discrete math. Now, I feel ready to take the 400-level combinatorics sequence at college in a few months, and my problem-solving skills have improved a lot. AoPS Online Student Where I live, calculus is not offered in high school, so I've really treasured my AoPS Calculus class and everything I've learned. Thank you again for this incredible opportunity! Jorge Castello My instructor was great. I really enjoyed having a woman instructor as a role model and just an all-around-great mathematician! She was always willing to offer advice and knew just how many hints to give to keep problems doable but still satisfying. AoPS Online Student Every class I've taken with AoPS has been fantastic. Everyone does a great job helping students succeed while enjoying the process of learning math. I love that the students themselves are always open to helping each other out. Matthew The combination of videos, textbooks, on-line problems and book problems has been fantastic for our boys. I love that they can do this at their own pace, and how motivated they feel now they're be in charge of their own learning. AoPS Online Parent

Art of Problem Solving is an ACS WASC Accredited School

AOPS PROGRAMS AoPS Online Beast Academy AoPS Academy ABOUT About AoPS Our Team Our History Jobs SITE INFO Terms Privacy Contact Us FOLLOW US


SUBSCRIBE FOR NEWS AND UPDATES Enter e-mail © 2020 AoPS IncorporatedTraining Today's Brightest Minds to Solve Tomorrow's Problems AoPS Online helps motivated students in grades 5-12 become successful, creative problem solvers.

ONLINE COURSES Join our live online classes with talented peers and expert instructors.


Enroll Now MATH TEXTBOOKS Gain the critical problem-solving strategies you need for success.


Shop Now Video Thumbnail More Than Just Another Online Class The AoPS curriculum stretches students to their full potential, while our online school connects eager students with inspiring peers and accomplished instructors. We give many of these students their first taste of a world beyond traditional math. A world filled with challenging, intriguing problems that require creativity and persistence to solve. A world where they have access to impressive mentors and role models. And most importantly, a world filled with inspiring peers who share their love of learning—peers that they often first met in AoPS classes and the AoPS online community. Class Categories

Introductory Math Prealgebra to Geometry GRADES 5–10+ VIEW

Intermediate Math Intermediate Algebra to Precalculus GRADES 8–12+ VIEW

Advanced Math Calculus to Olympiad Geometry GRADES 9–12+ VIEW

Contest Math Preparation for Math Competitions GRADES 6–12 VIEW

WOOT Programs Worldwide Online Olympiad Training GRADES 9–12 VIEW

Computer Science Programming Classes GRADES 6–12+ VIEW VIEW FULL COURSE LIST Our Books

Introductory Series Complete curriculum covering Prealgebra through Geometry in depth. Suitable for grades 5–10. VIEW BOOKS

Intermediate & Advanced Challenging textbooks that prepare students for advanced mathematical subjects in high school, college, and beyond. Suitable for grades 8–12. VIEW BOOKS

Contest Preparation Problem-solving guides that math competition winners have relied on for more than 25 years, written by people who have won medals in national math contests, including MATHCOUNTS, the AMC, the AIME, and the USAMO. Suitable for grades 6–12. VIEW BOOKS VIEW ALL BOOKS Resources

Alcumus Alcumus is our free adaptive learning system. It offers students a customized learning experience, adjusting to their performance to deliver problems that will challenge them appropriately. Alcumus is aligned to our Introductory Math, Intermediate Algebra, and Precalculus online courses and textbooks. START LEARNING

Videos Our video library offers hundreds of videos featuring AoPS founder Richard Rusczyk. Many of the videos are aligned to our Prealgebra, Introduction to Algebra, and Introduction to Counting & Probability books and classes. WATCH NOW

MATHCOUNTS Trainer The MATHCOUNTS Trainer has thousands of problems from previous School, Chapter, State, and National MATHCOUNTS competitions. Full solutions are provided for every problem so aspiring MATHCOUNTS mathletes can learn how to approach even the toughest questions. START TRAINING

For the Win! Compete with middle school students from around the world with For the Win! (FTW), inspired by the MATHCOUNTS Countdown Round. START PLAYING VIEW ALL RESOURCES Community Forums Middle School Math High School Math Contests and Programs High School Olympiads College Math Site Support VISIT COMMUNITY Our experience over the last five months with AoPS's Prealgebra course has been transformational! Our kids used to dread math—but now they're discussing math together while we’re hiking, having dinner, or visiting with family. Wow! Jean R. AoPS courses are a wonderful balance of challenge and guidance, constantly stretching students and inviting them to wrestle with problems at their own pace until they reach epiphanies. Bravo! I wish AoPS had been around when I was in high school. AoPS Online Parent My son is eating your classes up. He is pumped for each Wednesday and has to really work to solve the problems. He's always loved math, but cannot get enough of it now. Way to provide the best educational product this Dad has found anywhere! John C. I'm impressed at how much my son loved Precalculus. Sometimes he spent two days on his written proofs! I love that students weren't treated with kid gloves but instead afforded respect as burgeoning mathematicians. Now he's looking forward to Calculus. My daughter was already very good at math before she took Prealgebra through AoPS. Since then, she's become an even stronger and more confident problem solver while progressing through the curriculum. Russell We were incredibly lucky to have three passionate instructors in ChemWOOT who were able to capture the beauty and diversity of chemistry. This class was like a reaction chamber of some of the most motivated chemistry students in the country. The experience was really powerful. AoPS Online Student I've definitely developed a lot more confidence in math since taking AoPS Introduction to Geometry. In the process of doing harder problems than I ever knew I could, I've also begun to see geometry as an art. I'm enjoying math more and more! AoPS Online Student Great course! I'm a senior in high school and I decided to take Intermediate Counting & Probability because I'd never been exposed to problem-solving math before, let alone discrete math. Now, I feel ready to take the 400-level combinatorics sequence at college in a few months, and my problem-solving skills have improved a lot. AoPS Online Student Where I live, calculus is not offered in high school, so I've really treasured my AoPS Calculus class and everything I've learned. Thank you again for this incredible opportunity! Jorge Castello My instructor was great. I really enjoyed having a woman instructor as a role model and just an all-around-great mathematician! She was always willing to offer advice and knew just how many hints to give to keep problems doable but still satisfying. AoPS Online Student Every class I've taken with AoPS has been fantastic. Everyone does a great job helping students succeed while enjoying the process of learning math. I love that the students themselves are always open to helping each other out. Matthew The combination of videos, textbooks, on-line problems and book problems has been fantastic for our boys. I love that they can do this at their own pace, and how motivated they feel now they're be in charge of their own learning. AoPS Online Parent

Art of Problem Solving is an ACS WASC Accredited School

AOPS PROGRAMS AoPS Online Beast Academy AoPS Academy ABOUT About AoPS Our Team Our History Jobs SITE INFO Terms Privacy Contact Us FOLLOW US


SUBSCRIBE FOR NEWS AND UPDATES Enter e-mail © 2020 AoPS IncorporatedTraining Today's Brightest Minds to Solve Tomorrow's Problems AoPS Online helps motivated students in grades 5-12 become successful, creative problem solvers.

ONLINE COURSES Join our live online classes with talented peers and expert instructors.


Enroll Now MATH TEXTBOOKS Gain the critical problem-solving strategies you need for success.


Shop Now Video Thumbnail More Than Just Another Online Class The AoPS curriculum stretches students to their full potential, while our online school connects eager students with inspiring peers and accomplished instructors. We give many of these students their first taste of a world beyond traditional math. A world filled with challenging, intriguing problems that require creativity and persistence to solve. A world where they have access to impressive mentors and role models. And most importantly, a world filled with inspiring peers who share their love of learning—peers that they often first met in AoPS classes and the AoPS online community. Class Categories

Introductory Math Prealgebra to Geometry GRADES 5–10+ VIEW

Intermediate Math Intermediate Algebra to Precalculus GRADES 8–12+ VIEW

Advanced Math Calculus to Olympiad Geometry GRADES 9–12+ VIEW

Contest Math Preparation for Math Competitions GRADES 6–12 VIEW

WOOT Programs Worldwide Online Olympiad Training GRADES 9–12 VIEW

Computer Science Programming Classes GRADES 6–12+ VIEW VIEW FULL COURSE LIST Our Books

Introductory Series Complete curriculum covering Prealgebra through Geometry in depth. Suitable for grades 5–10. VIEW BOOKS

Intermediate & Advanced Challenging textbooks that prepare students for advanced mathematical subjects in high school, college, and beyond. Suitable for grades 8–12. VIEW BOOKS

Contest Preparation Problem-solving guides that math competition winners have relied on for more than 25 years, written by people who have won medals in national math contests, including MATHCOUNTS, the AMC, the AIME, and the USAMO. Suitable for grades 6–12. VIEW BOOKS VIEW ALL BOOKS Resources

Alcumus Alcumus is our free adaptive learning system. It offers students a customized learning experience, adjusting to their performance to deliver problems that will challenge them appropriately. Alcumus is aligned to our Introductory Math, Intermediate Algebra, and Precalculus online courses and textbooks. START LEARNING

Videos Our video library offers hundreds of videos featuring AoPS founder Richard Rusczyk. Many of the videos are aligned to our Prealgebra, Introduction to Algebra, and Introduction to Counting & Probability books and classes. WATCH NOW

MATHCOUNTS Trainer The MATHCOUNTS Trainer has thousands of problems from previous School, Chapter, State, and National MATHCOUNTS competitions. Full solutions are provided for every problem so aspiring MATHCOUNTS mathletes can learn how to approach even the toughest questions. START TRAINING

For the Win! Compete with middle school students from around the world with For the Win! (FTW), inspired by the MATHCOUNTS Countdown Round. START PLAYING VIEW ALL RESOURCES Community Forums Middle School Math High School Math Contests and Programs High School Olympiads College Math Site Support VISIT COMMUNITY Our experience over the last five months with AoPS's Prealgebra course has been transformational! Our kids used to dread math—but now they're discussing math together while we’re hiking, having dinner, or visiting with family. Wow! = AoPS courses are a wonderful balance of challenge and guidance, constantly stretching students and inviting them to wrestle with problems at their own pace until they reach epiphanies. Bravo! I wish AoPS had been around when I was in high school. AoPS Online Parent My son is eating your classes up. He is pumped for each Wednesday and has to really work to solve the problems. He's always loved math, but cannot get enough of it now. Way to provide the best educational product this Dad has found anywhere! = I'm impressed at how much my son loved Precalculus. Sometimes he spent two days on his written proofs! I love that students weren't treated with kid gloves but instead afforded respect as burgeoning mathematicians. Now he's looking forward to Calculus. My daughter was already very good at math before she took Prealgebra through AoPS. Since then, she's become an even stronger and more confident problem solver while progressing through the curriculum. = We were incredibly lucky to have three passionate instructors in ChemWOOT who were able to capture the beauty and diversity of chemistry. This class was like a reaction chamber of some of the most motivated chemistry students in the country. The experience was really powerful. AoPS Online Student I've definitely developed a lot more confidence in math since taking AoPS Introduction to Geometry. In the process of doing harder problems than I ever knew I could, I've also begun to see geometry as an art. I'm enjoying math more and more! AoPS Online Student Great course! I'm a senior in high school and I decided to take Intermediate Counting & Probability because I'd never been exposed to problem-solving math before, let alone discrete math. Now, I feel ready to take the 400-level combinatorics sequence at college in a few months, and my problem-solving skills have improved a lot. AoPS Online Student Where I live, calculus is not offered in high school, so I've really treasured my AoPS Calculus class and everything I've learned. Thank you again for this incredible opportunity!Jorge Castello My instructor was great. I really enjoyed having a woman instructor as a role model and just an all-around-great mathematician! She was always willing to offer advice and knew just how many hints to give to keep problems doable but still satisfying. AoPS Online Student Every class I've taken with AoPS has been fantastic. Everyone does a great job helping students succeed while enjoying the process of learning math. I love that the students themselves are always open to helping each other out.

The combination of videos, textbooks, on-line problems and book problems has been fantastic for our boys. I love that they can do this at their own pace, and how motivated they feel now they're be in charge of their own learning. AoPS Online Parent

Art of Problem Solving is an ACS WASC Accredited School

AOPS PROGRAMS AoPS Online Beast Academy AoPS Academy ABOUT About AoPS Our Team Our History Jobs SITE INFO Terms Privacy Contact Us FOLLOW US


SUBSCRIBE FOR NEWS AND UPDATES Enter e-mail © 2020 AoPS Incorporated

SUBSCRIBE FOR NEWS AND UPDATES Enter e-mail © 2020 AoPS Incorporated STOP!!!!!!!!!

Invalid username
Login to AoPS