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Videos and practice problems on specific topics.

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A required part of this site couldn’t load. This may be due to a browser extension, network issues, or browser settings. Please check your connection, disable any ad blockers, or try using a different browser.

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Homework and Textbook

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Big Ideas Learning Blog Math Musicals Terms of Use Privacy Policy System Requirements Contact Us

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Learn about math, science, and art through the creative music videos of OK Go.

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OK Go Sandbox is an online resource for educators that uses OK Go's music videos as starting points for integrated guided inquiry challenges allowing students to explore various STEAM concepts.

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Investigative math tasks on a variety of topics. This website is from Jo Boaler, a Stanford professor.

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At youcubed, we inspire, educate and empower teachers of mathematics, transforming the latest research on mathematics learning into accessible and practical forms.

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Written explanations of algebra topics.

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Purplemath

MathHelp.com

The Purplemath lessons have been written so that they may be studied in whatever manner the student finds most useful. Different textbooks cover different topics in different orders. The Purplemath lessons try not to assume any fixed ordering of topics, so that any student, regardless of the textbook being, may benefit.

Below, Purplemath's lessons are listed in groups according to the general meanings of "beginning", "intermediate", and "advanced" algebra. If you are not sure where to find your topic, please try the "Search" box above.
Switch to a listing of the lessons "in study order"
Preliminary Topics

MathHelp.com

Beginning Algebra Topics

Intermediate Algebra Topics

Advanced Algebra Topics

Solving Word Problems

Translation: How to translate word problems from English into mathematical equations

Appendix

...and the beginnings of trig

URL: https://www.purplemath.com/modules/index.htm

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Needing help with algebra? Look no further!

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The Purplemath lessons have been written so that they may be studied in whatever manner the student finds most useful. Different textbooks cover different topics in different orders. The Purplemath lessons try not to assume any fixed ordering of topics, so that any student, regardless of the textbook being, may benefit.

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"3blue1brown, by Grant Sanderson, is some combination of math and entertainment, depending on your disposition. The goal is for explanations to be driven by animations and for difficult problems to be made simple with changes in perspective." (from YouTube)

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Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.

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Videos on a number (haha) of math topics. Deep dives to inspire curiosity.

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Videos about numbers and mathematics. Videos by Brady Haran since 2011. Our thanks to Jane Street. Thanks also to SLMath, the Simons Foundation, and our Patreon supporters.

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100-day problem solving challenge.

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Assume that the ball is shot at a 45 degree angle directly from corner of the table and that it will only land in a pocket if the center of the ball meets the corner of the pocket exactly. Model the ball as a point mass on a frictionless table.

This puzzle can be solved by carefully considering the path of the ball bounce-by-bounce, but there's also a beautiful shortcut that combines geometry and algebra to calculate the solution in <1 minute!

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Assume that the ball is shot at a 45 degree angle directly from corner of the table and that it will only land in a pocket if the center of the ball meets the corner of the pocket exactly. Model the ball as a point mass on a frictionless table.

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Mathpickle has great puzzles organized by subject.

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Please use MathPickle in your classrooms. If you have improvements to make, please contact me. I'll give you credit and kudos 😉 If you are using MathPickle with adults, please mention the website. If you are from a private school, please ask parents or administrators to donate.

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Please use MathPickle in your classrooms. If you have improvements to make, please contact me. I'll give you credit and kudos 😉 If you are using MathPickle with adults, please mention the website. If you are from a private school, please ask parents or administrators to donate.

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Interactive Math Challenges

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Interactive Mathematics Miscellany and Puzzles

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An encyclopedic collection of math resources for all grades. Arithmetic games, problems, puzzles, and articles

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This is the Art of Problem Solving USA math contest forum. AMC8 is a great place to start.

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Great resource for explanatory videos on just about any topic.

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A required part of this site couldn’t load. This may be due to a browser extension, network issues, or browser settings. Please check your connection, disable any ad blockers, or try using a different browser.

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Paid courses, online textbooks for purchase, and community resources including free access to archived math contests. Excellent resources for students interested in math challenges.

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Learn from the leaders in advanced math, alongside outstanding classmates, with interactive online math for students grades 5-12.

Online Math Courses

Join our live, interactive math classes with expert instructors and talented peers.

ENROLL NOW

Math Books

Gain the critical problem solving strategies you need for college and career success.

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More Than Online Math: A Creative Problem Solving Community

Welcome to the world of AoPS Online: A world filled with challenging problems that require creativity and persistence to solve. A world where students learn from impressive mentors and role model instructors. A world filled with inspiring peers who share their love of learning.

Our advanced math curriculum stretches students to their fullest potential. And the connections students make in the AoPS classroom and online community last a lifetime.

All members of the 2015-2023 US International Math Olympiad teams are AoPS alumni.

Online Math Course Categories

AoPS Online courses take place weekly in our interactive online classroom. Expert instructors lead cohorts through engaging and rigorous challenges, and students work with peers to creatively problem solve together.

Math Books

AoPS offers our advanced math books in both online and paperback format. Our comprehensive math curriculum covers prealgebra all the way through contest prep math.

Introductory Math

Complete introductory math curriculum for students grades 5-10 that covers the standard Prealgebra/Algebra/Geometry series in depth as well as important discrete math topics.

Intermediate & Advanced Math

Challenging math textbooks that prepare students grades 8-12 for advanced mathematical subjects in high school, college, and careers in STEM fields.

Contest Prep Math

For more than 25 years, math competition winners have relied on AoPS problem-solving guides for contest prep. Suitable for grades 6-12, and written by medal winners in MATHCOUNTS, AMC, AIME, and USAMO.

Other AoPS Programs

Art of Problem Solving offers two other multifaceted programs. Beast Academy is our comic-based online math curriculum for students ages 6-13. And AoPS Academy brings our methodology to students grades 2-12 through small, in-person classes at local campuses.

Through our three programs, AoPS offers the most comprehensive honors math pathway in the world. View a full comparison of our program offerings.

Free Student Resources

Art of Problem Solving offers a wide variety of free resources for avid problem solvers, including hundreds of videos and interactive tools like Alcumus, our popular adaptive learning system.

Online Community Forums

AoPS Online community forums are the place for our creative problem solvers to connect, question and collaborate. We have a forum for each level and category.

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Online math classes, advanced math textbooks, math games, and more for high school and middle school students. Find out why our students win so many awards.

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Worksheets on pre-algebra, algebra, geometry, organized by topic and including answer keys.

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Create Custom Pre-Algebra, Algebra 1, Geometry, Algebra 2, Precalculus, and Calculus Worksheets

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Software for math teachers that creates custom worksheets in a matter of minutes. Try for free. Available for Pre-Algebra, Algebra 1, Geometry, Algebra 2, Precalculus, and Calculus.

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Paid resource ($9.95/mo for math only). Targets specific learning goals.

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The exact skills you need

Planning a lesson or prepping for an exam?
We've custom-built IXL skills to reinforce each topic within your:

State standards

Virginia Standards of Learning (2016)

Textbooks

See skills that match every chapter of 80+ popular textbooks

Assessments

Use IXL for the NWEA MAP, ACT, SAT, and more

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IXL | Math, Language Arts, Science, Social Studies, and Spanish

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IXL is the world's most popular subscription-based learning site for K-12. Used by over 15 million students, IXL provides personalized learning in more than 10,000 topics, covering math, language arts, science, social studies, and Spanish. Interactive questions, awards, and certificates keep kids motivated as they master skills.

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Learning Management