Online AMC 12/AIME Precalculus Summer (Evening) Course (for Rising 7th to 12th Graders) Starting August 1

Summer is the golden time to develop students’ math skills and prepare for the American Math Competitions!

How to Prepare for the AMC 12
How to Prepare for the AIME
2026 AMC 8: 19 perfect scorers. 57 students got the DHR. 33 students got the HR.
2025 AMC/AIME: 104 AIME qualifiers. 1 AMC 10 perfect scorer. 1 AMC 12 perfect scorer.
2026 JMO/AMO: 8 USAMO Awardees and 7 USAJMO Awardees
- 1 USAMO Gold Award, 1 USAMO Silver Award, 4 USAMO Bronze Awards, and 2 USAMO Honorable Mention Awards.
- 1 USAJMO Top Winner, 1 USAJMO Winner, and 5 USAJMO Honorable Mention Awards.
2026 MOP: 4 MOP winners.
How To Use A Solutions Manual Correctly?
The Learning Trifecta: Preview, Note-taking, and Review
The Golden Rule of Learning Mathematics: Transitioning from Memorization to Deep Understanding and Creative Thinking
Over-Reliance on Calculators: A Heavy Burden on Fundamental Education

Purpose: To prepare for the 2024 AMC 10/12 and the 2025 AIME contests.

The course focuses on systematic, comprehensive, and in-depth problem solving in advanced precalculus topics, including logarithms, complex numbers, trigonometry, conic sections, and three-dimensional coordinate geometry. While these topics are beyond the scope of the AMC 10, they are regularly tested on the AMC 12 and play an essential role in AIME preparation.
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Course Outline
6 Classes (Eastern Time: 6:00 – 9:00 pm), Total: 18 Hours
8/1, 8/2, 8/4, 8/6, 8/8, 8/9 (Mock Exam/Review)

Online Registration is now open! Click HERE to register and pay.

Tuition (including all materials)
New Student	Via Zelle: $810 (Phone: 240-300-4380) Please include your child’s name “AMC 12-AIME Precalculus” in the “Memo” box.
	Via PayPal: $840
Returning Student	Via Zelle: $800 (Phone: 240-300-4380) Please include your child’s name “AMC 12-AIME Precalculus” in the “Memo” box.
	Via PayPal: $830
Click HERE to see payment and refund policy.

AMC 12/AIME Precalculus Summer (Evening) Course

This course is specifically designed for students preparing for the AMC 12 and AIME. The course emphasizes systematic, comprehensive, and in-depth problem-solving in advanced precalculus topics, including Logarithms, Complex Numbers, Trigonometry, Conic Sections, and Three-Dimensional Coordinate Geometry. These topics are regularly tested on the AMC 12 and form an essential foundation for success on the AIME.

Although these topics are beyond the scope of the AMC 10, mastering them provides students with powerful mathematical tools and deeper insight that often lead to more elegant and efficient solutions to many of the most challenging AMC 10 problems.

Our AMC 12/AIME Precalculus Summer (Evening) Course last summer provided a comprehensive review of every precalculus topic that appeared on the 2025 AMC 12 and the 2026 AIME I & II examinations. Remarkably, every precalculus problem on these contests was either identical to or closely resembled examples discussed in our class. This strong alignment enabled our students to develop a deep understanding of contest-style problems and master the most effective solution techniques—one of the reasons our students consistently achieve outstanding results on both the AMC 12 and the AIME.

To keep our curriculum current, we update our course handouts each year based on the latest official AMC 12 and AIME examinations. We also employ advanced AI-assisted analysis to study the problem-design patterns and mathematical reasoning styles of 39 AMC 10 and 12 test writers and 10 AIME test writers , drawing on both their published competition problems and mathematical research. The insights gained from this analysis are used to develop highly targeted, contest-style practice problems that closely reflect the style and difficulty of today’s examinations.

In addition, we carefully select influential problems written by these same test authors to illustrate essential concepts and problem-solving strategies throughout the course. Several of these classic problems—or their underlying ideas—have reappeared on recent AMC 12 and AIME examinations, enabling our students to recognize familiar techniques and solve these problems with greater confidence and efficiency.

We warmly invite you to join our live online course, which provides an engaging and effective learning experience for students regardless of location. Classes are conducted through Google Meet, allowing students to interact directly with experienced instructors, learn proven contest strategies and time-saving techniques, and receive individualized guidance throughout the course. Students are encouraged to ask questions during class and receive immediate feedback. Detailed setup instructions are available by clicking HERE.

This is a live, interactive course, not a pre-recorded video program. Instructors actively engage students by asking questions throughout each lesson, and students are encouraged to participate in discussions and ask questions at any time during class. They may also email instructors with follow-up questions after class. As an added benefit, every lesson is recorded, allowing students to review the material at their own pace and reinforce their learning whenever needed.

To maximize the benefits of this course, students are strongly encouraged to attend the entire program. A sustained commitment enables students to develop a comprehensive understanding of the mathematical concepts, problem-solving methods, strategies, techniques, and test-taking skills essential for success in mathematical competitions.

Throughout the course, we emphasize efficient solution methods, elegant shortcuts, and proven contest strategies for solving challenging precalculus problems, with particular focus on the more difficult AMC 12 problems and the more accessible AIME problems. We also teach effective test-taking strategies and time-management techniques to help students perform at their highest level during competition.

Instruction is delivered using our highly effective Instruction-Focused Small-Class Teaching Model, which promotes active participation, individualized feedback, and meaningful interaction between instructors and students.

Instructors:

Contact Information:
Ivy League Education Center
Tel: 240-300-4380 or 240-406-3402
Email: chiefmathtutor@gmail.co

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Specific Goal:

To earn a score of 100 or more out of 150 on the American Mathematics Contest 12 (AMC 12), and then qualify for the American Invitational Mathematics Examination (AIME), which is used to determine qualification for the United States of America Mathematical Olympiad (USAMO).

AMC-General

There are many math competitions in the United States. Of those, only

AMC → AIME → USAMO sequence

would take you to the IMO (International Math Olympiad), the highest level math competition for high school students in the world!

AMC 10-12-New
Click here to read more!

Who should take this class: This class is very appropriate for raising 6th-12th grade students who are hoping to qualify for the AIME.

Benefits:

6 tutorial handouts (>360 pages) developed by Dr. Henry Wan and 200 new precalculus problems similar to AMC 12 level from the licensed AMC Database
One FREE mock test that is intended to mimic an actual math competition exam, each of which has 25 questions similar to AMC 12 level taken from the licensed AMC Database. These simulated tests help students assess their level of preparation for the Math Competitions. After attempting the test, students get answers, explanations, and a detailed score report and wise performance summary.
FREE registration for local students for the AMC 10/12A — Wednesday, November 5, 2025 and AMC 10/12B — Tuesday, November 11, 2026. Please see: The AMC 10/12 Online Contests on November 5, 2026, and November 11, 2026

Weekly Homework:

Students are expected to commit at least 6 hours per week to homework. Assignments will include:

All precalculus problems from past AMC 12 and ARML contests
500 newly created precalculus problems that closely match the difficulty and style of actual AMC 12 questions, curated from our licensed AMC database

The primary focus will be on:

The last 15 problems of the AMC 12
The first 5 problems of the AIME
Selected challenging problems from the ARML

Note: Many of the most difficult problems on recent AMC 10 and 12 exams are identical or nearly identical to past ARML questions, making ARML preparation particularly valuable.

Solutions Manual

We provide a meticulously written Solutions Manual with step-by-step, detailed solutions for all homework problems, designed to strengthen logical reasoning and problem-solving skills. For guidance on using a solutions manual effectively, see How To Use A Solutions Manual Correctly?

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Qualifying AIME
Class Outline:
This class focuses on precalculus topics that are only needed for the AMC 12 and AIME. We will also help students develop quick problem solving strategies and effective time management skills.

Class	Date	Topic
1	8/1, Sat	Exponents and Logarithms
2	8/2, Sun	Fundamental Trigonometry
3	8/3, Tue	Advanced Trigonometry
4	8/6, Thu	Complex Numbers
5	8/8, Sat	Conic Sections: Parabolas, Circles, Ellipses, and Hyperbolas
6	8/9, Sun	Three-dimensional Coordinate Geometry
We reserve the right to adjust the teaching content and method according to students’ understanding and comprehension of new knowledge.

Small-sized Class Teaching Model:

We utilize the highly effective small-sized class teaching model. Smaller classes lead to pupils receiving more individual attention from teachers, and having more active interactions with them. We focus on every individual, not the whole class. Students will thrive from the smaller class sizes that allow them to reach their full potential. Particularly, students can benefit tremendously from high-frequent individualized student-teacher interactions leading to establishment of a stronger foundation for lifelong learning.

Our main purpose is to help our students gain deeper understanding of the fundamental math concepts, build a solid foundation in math, and develop the critical thinking and problem-solving skills that are so valuable to success in any career. We are big believers in the FUNDAMENTALS! Our students will receive the LIFELONG BENEFITS from learning math.

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Regardless of his/her math level, each student will have the opportunity to learn math in a fun, friendly, cooperative, supportive learning environment. The most important thing is to have fun.

Our Students

In 2024, we had 90 students who obtained top scores on the AMC 8 contest!

10 of our students were among the top 116 worldwide winners (Perfect Scorers).
54 students received National Distinguished Honor Roll Certificates awarded to top 1% test takers. They were among the 697 worldwide winners.
29 students received National Honor Roll Certificates awarded to top 5% test takers. They were among the 2,683 worldwide winners.
93 out of our 96 students (96.9%) received National Awards for the AMC 8 from the Mathematical Association of America

In 2023, we had 99 students who qualified for the AIME either through the AMC 10A/12A or the AMC 10B/12B. One of our students was among the 11 Perfect Scorers worldwide on the AMC 10B: Ali R. and one of our students was among the 13 Perfect Scorers worldwide on the AMC 12B: Yaoyun X. Read more at: 99 Students Qualified for the 2024 AIME and 2 Students Received Perfect Scores on the 2023 AMC 10/12

In 2023, we had 8 students who won USAMO awards and 7 students who won USAJMO awards.

1 USAMO Gold Award, 1 USAMO Silver Award, 4 USAMO Bronze Awards, and 2 USAMO Honorable Mention Awards.
1 USAJMO Top Winner, 1 USAJMO Winner, and 5 USAJMO Honorable Mention Awards.

In 2023, we had 90 students who obtained top scores on the AMC 8 contest!

8 of our students were among the top 81 worldwide winners (Perfect Scorers).
51 students received National Distinguished Honor Roll Certificates awarded to top 1% test takers. They were among the 697 worldwide winners.
31 students received National Honor Roll Certificates awarded to top 5% test takers. They were among the 2,571 worldwide winners.
90 out of our 93 students (96.8%) received National Awards for the AMC 8 from the Mathematical Association of America.

In 2022, we had 96 students who qualified for the AIME either through the AMC 10A/12A or the AMC 10B/12B. One of our students was among the 6 Perfect Scorers worldwide on the AMC 10A: Justin W. and one of our students was among the 3 Perfect Scorers worldwide on the AMC 12B: Ming Y. Read more at: 96 Students Qualified for the 2023 AIME and 2 Students Received Perfect Scores on the 2023 Fall AMC 10/12

In 2022, we had 3 students qualified for the Math Olympiad Summer Program. Read more at: Brendon J., Kyle S., and Isabella Z. Qualified for the 2022 Math Olympiad Summer Program

In 2022, we had 1 student Competes in International Girls’ Math Olympiad. Read more at: sabella Z. Competes in International Girls’ Math Olympiad

In 2022, we had 7 students qualified for the USAMO and 7 students for the USAJMO. Read more at: 2022 USAMO and USAJMO Qualifiers Announced — Seven Students Qualified for the USAMO and Seven Students for the USAJMO.

In 2022, we had 88 students who obtained top scores on the AMC 8 contest!

10 of our students were among the top 131 worldwide winners (Perfect Scorers), as shown in Table 1. Click Here see a full list of the 131 worldwide winners.
52 students received National Distinguished Honor Roll Certificates awarded to top 1% test takers. They were among the 1,010 worldwide winners. Click HERE see a full list.
26 students received National Honor Roll Certificates awarded to top 5% test takers. They were among the 2,449 worldwide winners. Click HERE see a full list.
88 out of our 91 students (96.7%)received National Awards for the AMC 8 from the Mathematical Association of America

In Fall 2021, we had 93 students who are qualified to take the AIME either through the AMC 10A/12A or AMC 10B/12B. One of our students was among the 5 Perfect Scorers worldwide on the AMC 10A: Nina L. and one of our students was among the 2 Perfect Scorers worldwide on the AMC 10B: Ming Y. Read more at: 93 Students Qualified for the 2021 Fall AIME and 2 Students Received Perfect Scores on the 2021 Fall AMC 10/12

In 2021, we had 6 students qualified for the USAMO and 6 students for the USAJMO. Read more at: 2021 USAMO and USAJMO Qualifiers Announced — Six Students Qualified for the USAMO and Six Students for the USAJMO

In Spring 2021, we had 91 students who are qualified to take the AIME either through the AMC 10A/12A or AMC 10B/12B. Two of our students was among the 17 Perfect Scorers worldwide on the AMC 12A: Evan L. and Suraj O. and one of our students was among the 27 Perfect Scorers worldwide on the AMC 10A: Xinchen L. Read more at: 91 Students Qualified for the 2021 AIME and 3 Students Received Perfect Scores on the 2021 AMC 10/12

In 2021, we had 8 students who got into the MathCounts state-level top 10. Yunyi L. won 9th Place in the 2021 MathCounts National Competition!

In 2020, we had 79 students who obtained top scores on the AMC 8 contest!

5 of our students were among the top 57 worldwide winners (Perfect Scorers).
49 students received National Distinguished Honor Roll Certificates awarded to top 1% test takers.
25 students received National Honor Roll Certificates awarded to top 5% test takers.
79 out of our 81 students (97.5%) received National Awards for the AMC 8 from the Mathematical Association of America.

In 2020, we had 82 students who are qualified to take the AIME either through the AMC 10A/12A or AMC 10B/12B. One of our students was among the 11 Perfect Scorers worldwide on the AMC 12A: Yiyang X, and one of our students was among the 13 Perfect Scorers worldwide on the AMC 10A: Jason W.. 43 middle schoolers and 9 elementary schoolers qualified for the AIME! Read more at: 2020 AIME Qualifiers Announced — 82 Students Qualified for the AIME

In 2019, we had 71 students who obtained top scores on the AMC 8 contest!

8 of our students were among the top 151 National Winners (Perfect Scorers), including 2 sixth graders.
36 students received National Distinguished Honor Roll Certificates awarded to top 1% test takers.
27 students received National Honor Roll Certificates awarded to top 5% test takers.
71 out of our 73 students (97.3%) received National Awards for the AMC 8 from the Mathematical Association of America.

In 2019, we had 4 Students Qualified for the USAMO and 4 Students for the USJMO.

Of the 280 USA Math Olympiad national qualifiers, 4 are our students: Luke C., Zipeng L., Sameer P., and Peter P.
Of the 235 USA Junior Math Olympiad national qualifiers, 4 are our students: Michael H., Noah W., Holden W., and Isabella Z.

In 2019, we had 76 students who are qualified to take the AIME either through the AMC 10A/12A or AMC 10B/12B. One of our students was among the 22 Perfect Scorers worldwide on the AMC 10A: Noah W. and one of our students were among the 10 Perfect Scorers worldwide on the AMC 12B: Kenneth W. Very impressively, 32 middle schoolers and 7 elementary schoolers qualified for the AIME!

In 2018, we had 64 students who obtained top scores on the AMC 8 contest!

3 of our students were among the top 44 National Winners (Perfect Scorers): Eric B., Kevin Y., and Isabella Z.
40 students received National Distinguished Honor Roll Certificates awarded to top 1% test takers.
21 students received National Honor Roll Certificates awarded to top 5% test takers.
64 out of our 66 students (96.5%) received National Awards for the AMC 8 from the Mathematical Association of America

In 2018, we had 73 students who are qualified to take the AIME either through the AMC 10A/12A or AMC 10B/12B. Two of our students were among the 35 Perfect Scorers worldwide on the AMC 10A: Austen M. and Jason W. and two of our students were among the 21 Perfect Scorers worldwide on the AMC 12B: Kaan D. and Edward W. Remarkably, 11 middle schoolers and 2 elementary schoolers qualified for the AIME!

In 2017, we had 63 students who earned top scores on the AMC 8 contest!

7 of our students were among the top 75 National Winners (Perfect Scorers).
34 students received National Distinguished Honor Roll Certificates awarded to top 1% test takers.
22 students received National Honor Roll Certificates awarded to top 5% test takers.
63 out of our 65 students (97%) received National Awards for the AMC 8 from the Mathematical Association of America

In 2017, we had 61 students who are qualified to take the AIME either through the AMC 10A/12A or AMC 10B/12B. One of our students was among the 28 Perfect Scorers worldwide on the AMC 10A: Austen M., and two of our students were among the 65 Perfect Scorers worldwide on the AMC 10B: Ashwin A. and Brad Z. Remarkably, eight middle schoolers and one elementary schooler qualified for the AIME, which is geared toward high school students. Very impressively, Bryan Z., a 6th grader, gained a score of 132 out of 150 on the AMC 10B.Read more at: 2017 AIME Qualifiers Announced — 61 Students Qualified for the AIME

In 2016, we had 36 students who are qualified to take AIME either through AMC 10A/12A or AMC 10B/12B. One of our students was among the 23 Perfect Scorers worldwide on the AMC 10A: Joel (Junyao) T. Particularly, seven middle schoolers and one elementary schooler qualified for the AIME, which is geared toward high school students. Pravalika P., a 6th grader, got a 115.5 out of 150 on the AMC10B, which is very impressive. Read more at: 2016 AIME Qualifiers Announced — 36 Students Qualified for AIME

2011 – 2015: In total, 37 students scored above 120 on the American Mathematics Contest 10 (AMC 10) and qualified for the American Invitational Mathematics Examination (AIME); 26 students scored above 100 on the American Mathematics Contest 12 (AMC 12) and qualified for the American Invitational Mathematics Examination (AIME); 3 students qualified for the USA Mathematical Olympiad (USAMO), the highest level of math competition for high school students in the USA

2011 – 2015: In total, 23 students achieved perfect scores of 28 on the AMC 8

Read more at: Notable Achievements of Our Students

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Our Uniqueness

We have a long history of close collaboration with the MAA’s American Mathematics Competitions (AMC), which are dedicated to strengthening the mathematical capabilities of our nation’s youth, and are the first of a series of competitions in high school mathematics that determine the United States team for the International Mathematical Olympiad (IMO).

We are only one in the Washington DC metropolitan area to offer elementary, middle, and high-school level competition math courses. Our students have received top scores and awards at prestigious national and math competitions.

Great Benefits of Math Competitions

In an increasingly competitive college application pool, the process of mastering math skills through our courses and participating in the American Math Competitions will help students strengthen and diversify their extracurricular activities. These contests can motivate students’ interest and passion in math, and they can discover their talent through solving challenging problems different from those in the school classes. Many top colleges also request AMC scores as part of the college application process. Both MIT and Caltech have entry blanks on their official admission application forms for the applicant to enter their best AMC and AIME scores. Ivy League Colleges and Stanford ask for to the AMC and AIME scores in their Supplement to the Common Application Forms. Your children deserve the chance to list these scores on their applications! Good AMC scores will greatly enhance admission opportunities for students to elite colleges.

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