Self-Paced Video Classes

*** If you only need part of a course, or you are unsure about committing to a whole course, feel free to contact us and pay for the part you need.
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Our fundamental math classes complement and go beyond the Art of Problem Solving textbooks, elevating the material to a higher level. Our video lectures cover all examples from each section and all challenge problems at the end of each section and chapter. We aim to present the content within a more rigorous and broader framework, using concise and intuitive explanations. Additionally, the lectures include necessary corrections to the texts, along with a variety of supplementary materials that expand upon the book's content and highlight real-world applications. This approach deepens students’ understanding of both mathematical concepts and their practical uses. All pre-recorded video lectures come with hand-written PDF notes where applicable. We also offer video solutions to all past AMC 8, AMC 10, AMC 12, and AIME problems.

To ensure a thorough understanding of the material, students may need additional guidance. For Pre-Algebra, each package includes two brief Q&A sessions, 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.

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)

  • Chapters 1–7: $420

  • Chapters 8–15: $420

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

  • Sample Video: Chapter 8 Percents and Precent Change

  • Sample Video: Chapter 7 All Challenge Problems

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

“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

  • Full course coming in May 2025.

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

Algebra 1 (Text: AoPS Introduction to Algebra)

  • 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. They were created by Dr. Xue.

  • 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 Classes

Geometry (Text: AoPS Introduction to Geometry)

"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

Video Lectures for AoPS Introduction to Counting and Probability

  • All 15 Chapters (enriched with recent AMC 8, 10 problems): $400

  • 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 Classes

Video Lectures for AoPS Introduction to Number Theory

Algebra 2 (Text: AoPS Intermediate Algebra)

Precalculus (Text: AoPS Precalculus)

  • Coming in Sep 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 Supplementary Materials

  • Coming in June 2025.

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

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

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

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

AMC 12 Fundamentals

  • Ref: AoPS Volume 2 + Dr. Xue’s 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

  • Why we do not recommend AoPS Calculus as the textbook.

  • Please contact us for more details.