Students working together during an online learning experience

Structured online mathematics preparation

AIME Prep Course Online for Ambitious Students Without Scattered Study

Build the Geometry, Algebra, proof, and problem-solving foundation needed for AMC and AIME pathways through live English instruction, small-group practice, assessments, and guided progression. Explore a full AIME course syllabus covering advanced number theory, complex geometry, and combinatorics.

18
Geometry lessons
90 min
Weekly live class
6–12
Students per group
25–35%
Geometry focus cited

A clear starting point for families

What Is an AIME Prep Course Online? (Quick Definition)

An AIME prep course online is a structured, instructor-led mathematics program that helps students develop the knowledge and reasoning habits used in advanced competitions. This pathway connects school mathematics with AMC, AIME, and related competition preparation through topics such as Geometry, Algebra I, number theory, counting, probability, and multi-step problem solving. Students learn through live online lessons, guided practice, English homework, assessments, recorded explanations, and progress feedback.

ACE Academy’s pathway includes Honors Math, Competition Math, Geometry, and Algebra I content so families can choose a route that matches the student’s current preparation. The detailed AIME course syllabus below shows the advanced topics students encounter as they move beyond introductory AMC work.

Inside the AIME course

AIME Prep Course: Syllabus of Core Topics

A comprehensive AIME prep course reaches beyond introductory competition topics. The syllabus below reflects the interconnected content students encounter as they move from AMC-level problem solving to the deeper reasoning required by AIME-style questions.

Advanced Number Theory

  • Modular arithmetic and residues
  • Divisibility rules and the Euclidean algorithm
  • Prime factorization and primitive roots
  • Diophantine equations and linear congruences
  • Chinese Remainder Theorem
  • Fermat’s Little Theorem and Euler’s totient

Complex Geometry

  • Circle theorems and power of a point
  • Cyclic quadrilaterals and Ptolemy’s theorem
  • Angle chasing and geometric inequalities
  • Conic sections and transformations
  • Ceva’s, Menelaus’s, and Stewart’s theorems
  • Coordinate and vector geometry

Advanced Combinatorics

  • Counting principles: PIE, bijection, complementary counting
  • Recurrence relations and generating functions
  • Graph theory and trees
  • Expected value and probabilistic reasoning
  • Combinatorial identities and binomial sums
  • Invariants and the extremal principle

Algebra & Functions

  • Polynomials, roots, and Vieta’s formulas
  • Inequalities: AM-GM, Cauchy-Schwarz, Jensen
  • Functional equations and advanced sequences
  • Logarithms and exponents in contest contexts

Trigonometry & Complex Numbers

  • Trigonometric identities and equations
  • Law of Sines and Law of Cosines
  • Polar form and De Moivre’s theorem
  • Roots of unity and complex geometry

Problem-Solving Strategy

  • Solution-writing and proof structure
  • Multiple approach comparison
  • Time management for free-response answers
  • Estimating and checking exact integer answers

A distinct competitive stage

How an AIME Prep Course Differs from AMC 10/12 Prep

Many students begin with AMC 10/12 preparation and then wonder what changes when moving to AIME. The shift is not simply harder questions; it requires a different response format, a wider topic base, and stronger proof and computation stamina.

Dimension AIME Prep Course AMC 10/12 Prep
Answer formatFree-response integer from 000 to 999Multiple choice with five options
Topic depthAdvanced number theory, complex geometry, combinatorics, inequalities, and functional equationsCore Algebra, Geometry, Counting, and Number Sense
Problem-solving emphasisMulti-step deduction, exact integer answers, proof-like reasoningQuick recognition and elimination strategies
Typical studentStudents already scoring well on AMC 10/12 or seeking a steeper challengeStudents building from Algebra I through precalculus
Practice materialsAIME past papers, AoPS-level problem sets, mock AIME examsAMC past papers, mock AMC tests, topic drills

The ACE Academy Competition Math pathway supports both AMC and AIME preparation, but students who target AIME should expect more time on proof structure, exact computation, and unconventional problem types. This is why the AIME prep course builds from a strong AMC foundation rather than replacing it.

Built around the real preparation journey

The AIME Preparation Pathway

AIME readiness is not one isolated topic. It develops through connected coursework, increasingly complex reasoning, and regular opportunities to explain a solution rather than only produce an answer.

ACE Academy Geometry course graphic

Geometry for competition reasoning

The 18-lesson Geometry course covers congruence, similarity, right triangles, circles, tangents, quadrilaterals, solid geometry, analytic geometry, and trigonometry. It is designed to move students from visual intuition toward precise proof and multi-step deduction. Explore the Geometry proof pathway when geometric reasoning is the main gap.

ACE Academy advanced mathematics promotional graphic

Algebra and number sense foundations

Algebra I supports AIME preparation through equations, inequalities, functions, quadratics, sequences, complex numbers, modeling, ratios, coordinate geometry, and selected AMC 8 and MathCounts problems. These tools help students translate competition language into equations and useful structure. Families can review the Algebra I competition foundation before choosing a course.

ACE Academy mathematical competition problem about a lune

Worked competition examples

Students encounter problems involving circular regions, semicircles, sectors, right triangles, and area subtraction. In the lune example, the stated result is 1/4, reached by combining semicircle area, a quarter-circle sector, and a right-triangle area. This kind of solution demonstrates how a diagram becomes a sequence of exact claims.

Student attending an online ACE Academy lesson

Live online learning with review

The learning flow combines pre-class materials, a 90-minute live lesson, differentiated practice, English homework, recorded solution explanations, midterm and final assessments, and learning reports. Students can revisit difficult reasoning instead of relying on a single live explanation. Parents can ask about online math class support and current scheduling.

Outcomes that matter beyond one contest

What You Get (Key Benefits)

Build a connected pathway from Pre-Algebra and Algebra I into Geometry, Honors Math, and competition-focused study.

Strengthen logical reasoning through proof, modeling, problem decomposition, and exact mathematical communication.

Focus on high-value topics including similarity, circles, trigonometry, equations, number theory, counting, and probability.

Learn in a small group of 6–12 students, creating room for guided practice and student explanation.

Measure progress with placement testing, midterm and final assessments, homework review, and learning reports.

Prepare for higher study while supporting school honors pathways and future STEM, engineering, computer science, or physical science interests.

A simple enrollment flow

How It Works

Step 1

Choose the pathway

Share the student’s current course, goals, and competition experience with a course advisor.

What you see: A recommendation conversation.

Step 2

Complete placement

New students complete the relevant online assessment to confirm readiness and course fit.

What you see: A timed placement result.

Step 3

Learn and review

Attend weekly live lessons, complete practice, review recordings, and use reports to guide the next step.

What you see: Lessons, assignments, and feedback.

A complete learning system

Features (Grouped)

Core workflow features

  • Live online lessons taught in English
  • 90-minute weekly Geometry sessions
  • Pre-class materials and post-class homework
  • Recorded explanations and assignment review
  • Competition examples and mock testing

Reliability & control

  • Online placement before Geometry enrollment
  • 16-question Geometry test with a 40-minute limit
  • 60% Geometry placement threshold
  • Midterm and final assessments
  • Stage-based reports and learning suggestions

Integrations & export

  • Supports school mathematics progression
  • Connects AMC 8 and MathCounts foundations to later study
  • Uses AoPS-aligned materials in the Honors pathway
  • Provides recorded lesson access for review
  • Offers reports, homework feedback, and study recommendations

Evidence families can examine

Proof (Results / Social Proof)

4.5/5

Trustpilot TrustScore shown in company information, described as highly rated by hundreds of families.

93%

Site survey figure reporting stronger logic after eight lessons.

95%

Site figure reporting increased student confidence.

40+ years

Combined mathematics education and talent-development experience cited for the research team.

2.6%

North American teacher selection rate cited in the course information.

100%

Course information states that North American teachers have mathematics or related STEM backgrounds.

“I love teaching at Ace Academy because I get to work with students of all personalities, and my experience helps me connect with each of them in meaningful ways. The curriculum is also thoughtfully designed, using engaging characters that make lessons more enjoyable and easier to understand for both students and teachers.”— Basel Am, Teacher
“I love teaching at Ace Academy because I get to work with students of all personalities, and my experience helps me connect with each of them in meaningful ways. The curriculum is also thoughtfully designed, using engaging characters that make lessons more enjoyable and easier to understand for both students and teachers.”— Kathleena M.S.R, Teacher

Family review signal

“Highly rated by hundreds of families”

This is the Trustpilot description supplied in the company information, not an individual review quotation.

Company review signal

“Join thousands of families who have transformed their children's academic journey with ACE Academy”

This is the site CTA language supplied in the company information.

Choose based on the learning model

Comparison (Why ACE Academy vs Alternatives)

Decision factor ACE Academy Generic tutor marketplace Self-directed study
Course structureSequenced Geometry, Algebra, Honors, and Competition pathwaysVaries by tutorLearner or parent creates the sequence
InstructionLive online small-group lessons with recorded reviewDepends on selected tutorUsually independent
PlacementRequired Geometry assessment for new studentsTutor-dependentSelf-assessed
Progress checksHomework, midterm, final, reports, and mock testsVaries widelyRequires self-tracking
Competition emphasisAMC, AIME, MathCounts, AoPS-aligned, and selected competition problemsDepends on tutor expertiseDepends on chosen resources

At a glance

Credentials & Key Stats

18

Geometry lessons in one semester

6–12

Students in the stated small-group range

87%+

Instructors cited as holding master’s or doctoral degrees

4.5/5

Trustpilot TrustScore cited by the company

4.5 out of 5 stars

A 4.5/5 Trustpilot TrustScore is listed among the company’s trust signals.

Questions families ask before enrolling

FAQs

Is this course suitable for every AIME student? +

The course is designed for students building the Geometry, Algebra, and competition foundations connected to AMC and AIME preparation. It may suit students who are studying or have completed Algebra I, students moving from Pre-Algebra, and students seeking stronger geometric reasoning. New Geometry students must complete a placement assessment, which helps confirm readiness. Students already coming through the stated Pre-Algebra, Algebra I, or AMC 8 Basics pathways may not need to repeat placement. Families should discuss the student’s current level and competition goals with a course advisor before enrolling.

What topics are covered in the AIME prep course syllabus? +

The full AIME course syllabus includes advanced number theory (modular arithmetic, Diophantine equations, Chinese Remainder Theorem), complex geometry (cyclic quadrilaterals, Ptolemy, Ceva and Menelaus), advanced combinatorics (bijection, PIE, generating functions, expected value), algebra and functions (Vieta, inequalities, functional equations), trigonometry and complex numbers (De Moivre, roots of unity), and structured problem-solving strategy. These topics extend well beyond AMC 10/12 review and are practiced through free-response, exact-answer AIME-style problems.

What does the online setup include? +

The Geometry format is live online instruction supported by recorded lesson playback. The stated course design includes pre-class materials, a 90-minute weekly class, layered practice, English homework, recorded solution explanations, midterm and final assessments, learning reports, and homework questions. Students therefore encounter more than a single weekly video meeting. The page information does not specify a particular device, software package, or internet requirement. Course advisors can provide the current classroom and scheduling details before registration.

Does the course prepare students for both AMC and AIME? +

The supplied course information positions Geometry, Honors Math, and Competition Math as relevant to AMC and AIME preparation. Geometry addresses topics such as similarity, circles, right triangles, analytic geometry, trigonometry, and proof. Algebra I and earlier courses include AMC 8 and MathCounts problem types that can build prerequisite skills for later competition study. Competition Math is described as covering AMC, MathCounts, and AIME-related core knowledge and strategies. The page does not promise a particular contest score or qualification outcome, so families should treat the course as structured preparation rather than a guaranteed result.

How does placement work for Geometry? +

New Geometry students complete an online placement assessment before entering the course. The stated Geometry test contains 16 questions and has a 40-minute time limit. The listed passing threshold is 60%, usually described as approximately 10 to 11 correct answers. The test covers material from Pre-Algebra A and B and Algebra I A, including geometry, equations, analytic geometry, number theory, square roots, exponents, ratios, probability, and related topics. Students transferring from specified internal pathways may not need to repeat the assessment, according to the supplied information.

How much does the AIME preparation cost? +

The supplied company information includes sample math package pricing of $999 for 36 lessons and $1,819 for 72 lessons. It does not provide a confirmed price for the specific 18-lesson Geometry course described on this page. Pricing may therefore depend on the current package, region, enrollment timing, and course arrangement. Families should not assume that the sample math prices are the final Geometry price. Contact the course team for current AIME, Geometry, Honors Math, or Competition Math pricing.

Is there a free trial or a refund option? +

The supplied Geometry course details state that a trial class is temporarily unavailable and expected to launch in the second quarter of 2026. The same information states that a refund is available after a trial class, subject to the applicable terms. ACE Academy’s broader site includes a Book a Free Trial call to action, but families should confirm whether that offer applies to the specific Geometry or AIME preparation section. The available video material is described as a Pre-Algebra Honors formal classroom excerpt rather than an Algebra I trial. Contact the course advisor for the current trial, refund, and enrollment policy.

Give Your AIME Preparation a Clearer Mathematical Foundation

Find the right starting level, build competition-ready reasoning, and follow a structured online pathway with expert guidance.

Match a student to Geometry, Algebra I, Honors Math, or Competition Math.