Self-Paced Classes Based on Pre-recorded, Tutorial-Style Videos (All By Dr. Xue)
** Students at our school use these videos for self-paced study and as pre-class materials for our interactive live Zoom sessions. Students enrolled in AoPS text-based, self-paced, and virtual classes often order these videos to help them stay on track with their coursework and homework.
“The videos help me learn more efficient strategies not taught in the textbook” — Student in Our Pre-Algebra Live 2024–25
“More explicit videos are awesome for homeschool kids.” — Parent of a Student in AoPS Introduction to Algebra A Self-Paced.
“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.
“Very helpful recordings, and they helped me with week 11 problems.” — Student in AoPS Virtual Academy Contest Geometry, Our Number Theory for AMC 10 & 12 Live, and Weekly Private Lessons with Dr. Xue
"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.
“The videos are helpful. I feel sometimes the kids get lazy and don’t read the book in detail and get confused. With the video it helps to fill in the gap information and easier understanding the material to work on the problems on review and challenge problems. So glad that we can do the videos.” — Parent of a Student Using AoPS Introduction to Algebra and Geometry for Self-Study at Home
** 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 order. No processing fee is required if you pay via Zelle. 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 more advanced level. These books are widely recognized as the best resources for middle and high school math, especially for gifted students. We have found that these books offer a rich collection of topics and problems, and we aim to provide clearer explanations of the underlying mathematical concepts and methods.
Our pre-recorded videos present the material within a broader and more rigorous framework, using clear, concise, and intuitive explanations. They thoroughly cover every example from each section, as well as all challenge problems at the end of each section and chapter. The videos also include corrections to the textbook where necessary, along with a variety of supplementary materials that expand on the book’s content and explore real-world applications. Each video is accompanied by hand-written PDF notes to support student learning.
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.
Q&A sessions either with Dr. Xue or a qualified student teacher can be arranged for an extra fee via Zoom or Google Meet. 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)
Chapters 1–7: $425
Chapters 8–15: $425
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: Addition and Subtraction (Ref: AoPS Pre-Algebra Secs 1.1–1.3)
Sample Video: AoPS Prealgebra Chapter 1 Challenge Problems 1.63–1.69
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
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)
Chapters 1–10: $540
Chapters 11–19: $540
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, and a variety of supplementary materials (SM).
Sample Video: Sec 5.3 Similar Triangles – SAS Similarity
Sample Video: Sec 5.6 Construction of Angles and Parallel Lines
Sample Supplementary Material: Five Notable Proofs of the Pythagorean Theorem
Each package expires 9 months from the date of subscription.
"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)
Coming in Nov 2025. Please contact us for more details.
Sample Video: GCD and the Euclidean Algorithm
The Euclidean Algorithm was referenced incorrectly in the textbook. This video corrected that mistake.
Sample Video: Video Solutions for AoPS Intro to Number Theory Chapter 7 Challenge Problems
Algebra 2 (Text: AoPS Intermediate Algebra & Supplementary Materials)
Part 1, Chapters 1–9: $585 (core curriculum, 18 lessons)
Part 2, Chapters 9–18: $585 (core curriculum, 18 lessons)
Part 3, Chapters 17–20: $195 (extensional materials, 6 lessons)
Each package includes detailed explanations of all sections and examples from the textbook, a variety of supplementary materials (SM), and a PDF final exam for both Part 1 and Part 2.
Sample Video: Sec 10.6: Nested Sums
Sample Video: Sec 13.3: Four Important Logarithmic Identities
Sample Supplementary Material: Multivariable Polynomials: Applications and Visualization (Slides)
Sample Supplementary Material: Sequences and Series: From Basics to Applications (Slides)
Sample Supplementary Material: A Correction to AoPS Intermediate Algebra, Problem 10.27 (1971 AHSME Problem 33)
Part 1 and 2 expire 9 months from the date of subscription. Part 3 expire 4 months from the date of subscription.
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.
"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
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
2017–Present, All Problems: $20 per test (There was no test in 2021 due to COVID)
Older Tests, Sorted by Topics: Please contact us.
Sample Video: 2025 AMC 8 Problem 20
Sample Video: 2025 AMC 8 Problem 21
Related Live Classes and Camps:
AMC 8 Problems Short Course: $35/lesson
AMC 8 Personalized Coaching Sessions (Video + 15-min Live): $35/session
AMC 8 Winter Break Camps ($85 per day)
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
Each topic includes a lecture that covers the fundamental concepts and methods, along with a set of AIME problems on the topic, accompanied by our own written or pre-recorded video solutions.
Sample Lecture Slides: Probability Theory Overview
Sample Video: 2004 AIME II Problem 10
Sample Video: 2012 AIME II Problem 7
Please contact us for prices.
AP Calculus AB/BC, Single Variable Calculus, Linear Algebra, Differential Equations, Multi-Variable Calculus
Please contact us for more details.