Self-Paced Classes Based on Pre-recorded, Tutorial-Style Videos (All By Dr. Xue)

** Our videos are self-contained and can be used as stand-alone, self-paced courses. Many students enrolled in AoPS text-based, self-paced, and virtual classes have also chosen to order these videos to help them stay on track with their AoPS courses.

“The videos help me learn more efficient strategies not taught in the textbook” — Student in Pre-Algebra 2024–25

“More explicit videos are awesome for homeschool kids.” — Parent of a student in AoPS Introduction to Algebra A Self-Paced and then in our Algebra 1 Self-Paced Part 2.

“He’s liking the videos a lot and thinks they will really make things go more smoothly.” — Parent of a student in AoPS Introduction to Counting and Probability Self-Paced, private tutoring with our student teacher, and then in our Summer Geometry Live.

“Very helpful recordings, and they helped me with week 11 problems.” — Student in AoPS Virtual Academy Contest Geometry, Think Academy AMC 10, and more recently, our Number Theory for AMC 10 & 12, and weekly private lessons

"Your classes are like the Hawaiian restaurant I visited on vacation—one of the best experiences of my life." "Your videos are so helpful." "This is so elegant. Why don’t teachers teach this at school?! Why doesn’t the book explain it this way?!" — Student enrolled in AoPS Online Intermediate Algebra and Precalculus simultaneously.

** If you are unsure about committing to an entire course, feel free to contact us and pay for a few chapters first. If you only need part of a course, please contact us for a customized package. No processing fee is required if you pay via Zelle or check. A 3.1% processing fee applies to all credit card payments.

Our fundamental math courses build upon and go beyond the material in the Art of Problem Solving textbooks, elevating it to a higher level. The AoPS textbooks are widely regarded as some of the best resources for middle and high school math courses, specifically designed for gifted students. While these books offer a strong collection of topics and problems, we found that the explanations of the underlying mathematical concepts and methods could be improved.

Our pre-recorded videos present the content within a more rigorous and broader framework, using concise, intuitive explanations. They cover every example from each section, as well as all challenge problems at the end of each section and chapter. Additionally, the videos include necessary corrections to the texts and feature a variety of supplementary materials that expand upon the book's content and highlight real-world applications. All pre-recorded videos come with hand-written PDF notes, where applicable.

Our small, pod-like live lectures provide additional explanations as needed, address students' questions, incorporate more problem-solving, and explore topics of interest in greater depth. These lectures use a research-oriented instructional approach that fosters curiosity, creativity, and mathematical expression.

To ensure a thorough understanding of the material, students may need additional guidance. For Pre-Algebra, each package includes one 15-min Q&A session, scheduled at the students' convenience, to help them transition to middle school math and navigate our self-paced course series. Additional sessions can be arranged for an extra fee. All Q&A sessions are conducted live via Zoom or Google Meet, either with Dr. Xue or a qualified student teacher. All of our student teachers undergo rigorous interviews, followed by ongoing training and support from Dr. Xue. At this time, we do not offer regularly scheduled office hours, but this may become an option in the future.

We also offer video solutions to all past AMC 8, AMC 10, AMC 12, and AIME problems.

All videos and written materials are protected by U.S. and international copyright laws. They are intended for the exclusive use of enrolled students and are subject to a subscription expiration date. Sharing this content with others violates the terms of this agreement and may result in legal action. Please direct any interested individuals to us for access. We welcome all comments or suggestions—feel free to email us with any questions.

Pre-Algebra (Text: AoPS Prealgebra)

“Pre-Algebra is my favorite course in middle school math. It’s not just Pre-Algebra, but also Pre-Geometry, Pre-Number Theory, and Pre-Counting. Students start to learn the key concepts of each topic, and it’s like unlocking a door to an entire world of exciting discoveries.” — Dr. Xue

AMC 8 & MATHCOUNTS Fundamentals (Text: AoPS Competition Math for Middle School)

  • Part I – Algebra, Counting & Probability: $375

  • Part II – Number Theory & Geometry: $375

  • Each package includes detailed explanations of all sections and examples from the textbook, along with supplementary materials (SM) featuring a selection of problems from recent AMC 8 and AMC 10 exams.

  • Sample Video: Variables, Equations, and the Harmonic Mean (Ref: Section 1.1 of the textbook, plus selected AMC 8 and AMC 10 problems)

  • Sample Video: The Art of Choosing Variables – 2022 AIME II Problem 1

  • Partially available now. Full course coming in May 2025.

  • Each package expires 9 months from the date of subscription.

Algebra 1 (Text: AoPS Introduction to Algebra & Supplementary Materials)

  • Chapters 1–11: $510

  • Chapters 12–22: $510

  • Each package includes detailed explanations of all sections and examples from the textbook, video solutions to all Challenge Problems at the end of each chapter, a variety of supplementary materials (SM), and a PDF final exam.

  • Supplementary Materials (Partial List):

    • Gaussian Elimination

    • Using Tilde Instead of Conversion Factors

    • A Quick Labeling Technique for Solving Polynomial and Rational Inequalities

    • Solving Radical Equations without Introducing Extraneous Solutions

      Note: The last three are not available in any other curricula for Algebra 1.

  • Sample Video: Sum and Difference of Cubes (Ref: Section 11.3)

  • Sample Video: Chapter 11 All Challenge Problems

  • Each package expires 9 months from the date of subscription.

“More explicit videos are awesome for homeschool kids.” — Parent of a Student in AoPS Self-Paced Introduction to Algebra A

Geometry (Text: AoPS Introduction to Geometry & Supplementary Materials)

"Today, *** came home and said that she was the only one in the class who scored full marks on the proof questions that you taught. Other classmates who are usually better than her didn't perform well on the test either." – Parent of a Geometry Student

Introduction to Counting & Probability (Text: AoPS Introduction to Counting and Probability & Supplementary Materials)

  • All 15 Chapters (enriched with recent AMC 8, 10 problems): $450

  • We integrate our own understanding of the material as much as possible to complement the textbook. For Chapter 13, we provide an entirely different explanation of the Hockey Stick Identity—simpler and more intuitive—so reading the main text may not be necessary.

  • Each package expires 9 months from the date of subscription.

“He finished most of Chapter 13 as soon as he got the videos and they are helping him a lot. Thank you so much... It’s making this move fast.”

— Parent of a Student in AoPS Self-Paced Introduction to Counting and Probability

Introduction to Number Theory (Text: AoPS Introduction to Number Theory & Supplementary Materials)

Algebra 2 (Text: AoPS Intermediate Algebra & Supplementary Materials)

"This is so elegant. Why don’t teachers teach this at school?! Why doesn’t the book explain it the way you do?!" — Student in AoPS Online Algebra 2 and Precalculus

Precalculus (Text: AoPS Precalculus & Supplementary Materials)

  • Coming in June 2025. Pre-orders are available.

  • Part 1, Chapters 1–7: $585

  • Part 2, Chapters 8–13: $585

  • Each package expires 9 months from the date of subscription.

AMC 10 Fundamentals (Text: AoPS Volume 1 & Supplementary Materials)

  • Ref: AoPS Volume 1 + Dr. Xue’s Math School Supplementary Materials

  • Coming in June 2025.

Intermediate Number Theory (Dr. Xue’s Math School Lecture Notes)

  • Coming in Feb 2025. Please contact us for more details.

Intermediate Counting and Probability (Text: AoPS Intermediate Counting and Probability)

  • Coming in Nov 2026. Please contact us for more details.

AMC 12 Fundamentals

  • Ref: AoPS Volume 2 + Dr. Xue’s Math School Supplementary Materials

  • Coming in June 2026. Please contact us for more details.

Video Solutions to Previous AMC 8 Tests

Video Solutions to Previous AMC 10 Tests

  • 2017–Present, Problems 1–20: $20 per test

  • 2017–Present, Problems 21–25: $15 each

  • Older Tests, Sorted by Topics: Please contact us

  • Related Live Classes and Camps

    • AMC 10 Bootcamp (September to November): $60/lesson

    • AMC 10 Personalized Coaching Sessions (Video + 15-min Live): $45/session

    • AMC 10 Weekly Problem Solving

Video Solutions to Previous AMC 12 Tests

  • 2017–Present, Problems not on the AMC 10: $25 per test

  • Older Tests, Sorted by Topics: Please contact us

  • Related Live Classes and Camps

    • AMC 12 Bootcamp (September to November): $70/lesson

    • AMC 12 Personalized Coaching Sessions (Video + 15-min Live): $50/session

    • AMC 12 Weekly Problem Solving

Video Solutions to Previous AIME Problems

  • 2015–24, Problems 1–10: $40 per test

  • Before 2015, Sorted by Topics: Please contact us.

  • Related Live Classes and Camps:

    • AIME Bootcamp (November to February): $70/lesson

    • AIME Personalized Coaching Sessions (Video + 15-min Live): $50/session

    • AIME Weekly Problem Solving: $70/lesson

AIME Algebra, Geometry, Counting, Probability, & Number Theory

AP Calculus AB/BC, Single Variable Calculus, Linear Algebra, Differential Equations, Multi-Variable Calculus

  • Please contact us for more details.