Geometry that resembles competition work
Students work through circles, lunes, triangle relationships, similarity, congruence, and area problems that reward structure rather than guesswork.
Live online geometry for competition-minded students
AMC 10 Prep Course Online for Stronger Geometry and Competition Reasoning
Build the visual intuition, proof skills, and multi-step problem-solving habits needed for AMC 10, AIME, honors mathematics, and advanced STEM pathways.
18
Live lessons
90 min
Per lesson
6–12
Students per class
25–35%
Reported geometry share
A focused competition pathway
What Is an AMC 10 Prep Course Online?
An AMC 10 prep course online is a structured live learning program that develops the mathematics, strategy, and reasoning students use in AMC-style problems. This course centers on geometry while connecting visual ideas to algebra, trigonometry, coordinate systems, and formal proof.
The program is based on the AoPS curriculum and international competition content. It is designed for students who are taking or have completed Algebra I, students moving toward Honors Geometry, and learners preparing for AMC, AIME, or other mathematics competitions.
AMC 10 preparation
Geometry and proof
AoPS-based learning
Designed around the work students actually do
Course Highlights for AMC 10 Learners
The course moves from foundational relationships to increasingly complex configurations. Each component is intended to make students more comfortable interpreting a diagram, choosing a strategy, and explaining why an answer works.
Logical reasoning beyond formulas
Prime-number and divisibility examples show how modular reasoning, parity, and pattern recognition can reduce a complicated-looking question to a short chain of ideas.
Connections across topics
Special triangles, the Pythagorean theorem, trigonometry, analytic geometry, and proof are taught as connected tools students can reuse.
A visible path from picture to proof
Students practice translating a diagram into equations, identifying equal lengths and angles, and communicating a complete solution.
Outcomes that matter
What You Get
Strengthen geometric reasoning
Build fluency with similarity, circles, congruence, ratios, spatial geometry, and proofs.
Develop reusable strategies
Learn to recognize patterns and choose an efficient approach instead of calculating without a plan.
Prepare for placement and honors work
Align geometry learning with school placement tests, Honors Geometry, Algebra II, Pre-Calculus, and AP pathways.
Explain why a solution works
Move from visual intuition to precise mathematical language through guided examples and independent explanations.
Connect geometry to algebra
Use coordinate systems, equations, square roots, ratios, and trigonometric expressions to model figures.
Build a competition foundation
Develop skills that support AMC, AIME, MathCounts, and later advanced competition mathematics.
A clear entry process
How It Works
Step 1
Complete placement
Students take the required Geometry Placement Test before enrollment.
You see: 16 questions, 40 minutes, and a 60% passing threshold.
→
Step 2
Join live instruction
Students attend one 90-minute English-language lesson each week in a small online group.
You see: instruction, worked examples, guided practice, and review.
→
Step 3
Practice and assess
Students complete homework, replay explanations, and use midterm and final assessments to review progress.
You see: recorded lessons, extension work, and structured checkpoints.
Built for a full semester
Features, Grouped by the Student Experience
Core workflow features
- 18 live lessons delivered over one semester
- One 90-minute lesson each week
- Pre-class preparation and guided practice
- Homework and extension exercises
- Recorded teacher explanations for homework
Reliability & control
- Required placement test before enrollment
- Small-group class size of 6–12 students
- Midterm and final assessments included
- 100% English instruction and materials
- Refund available after the trial lesson
Integrations & export
- AoPS curriculum and competition-style content
- Connections to Algebra I and school geometry
- Preparation for AMC and AIME pathways
- Support for MathCounts and international competition content
- Foundations for Algebra II, Pre-Calculus, and AP mathematics
The semester at a glance
AMC 10 Geometry Course Syllabus
The sequence intentionally moves from angle relationships and congruence into similarity, circles, solid geometry, analytic geometry, and trigonometry.
| Lesson | Topic | Competition connection |
|---|---|---|
| 1–3 | Angles, congruence, isosceles and equilateral triangles | Angle chasing and figure relationships |
| 4–7 | Area, ratios, similarity, right triangles, and the Pythagorean theorem | Proportional reasoning and efficient decomposition |
| 8–9 | Perpendicular bisectors, angle bisectors, and midterm assessment | Proof structure and checkpoint review |
| 10–13 | Quadrilaterals, circles, arcs, segments, and tangent lines | Multi-step circle and geometry configurations |
| 14–17 | Solid geometry, analytic geometry, and trigonometry | Modeling, spatial thinking, and algebraic connections |
| 18 | Final assessment | Cumulative application and review |
A practical use case
How a Grade 7–8 Student Can Use This Course
From Algebra I to AMC-style geometry
Consider a student in Grades 7–8 who is currently taking or has completed Algebra I and wants more rigorous preparation for AMC 10. The student first completes the required placement test, then works through a semester that begins with angles and congruence before reaching circles, analytic geometry, and trigonometry.
When the student encounters an overlapping-circle problem, the goal is not simply to memorize a lens-area formula. The student learns to identify equal radii, recognize the relevant sectors and triangles, and connect the diagram to an exact expression such as 24π − 18√3.
The reasoning pattern
- 1Read the figure and identify the equal lengths, angles, or radii.
- 2Decompose the shaded or unknown region into familiar geometric parts.
- 3Write an exact solution and explain why each relationship is valid.
Evidence and perspective
Proof, Results, and Instructor Perspective
4.5/5
Trustpilot TrustScore shown for the broader program, described as highly rated by hundreds of families.
93%
Site survey figure reporting stronger logic after eight lessons.
95%
Site survey figure reporting increased student confidence.
2.6%
Selection rate reported in course materials for North American instructors; other materials cite 2%.
“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.”
“The curriculum is also thoughtfully designed, using engaging characters that make lessons more enjoyable and easier to understand.”— Kathleena M.S.R, Teacher
“I love teaching at ACE Academy because I get to work with students of all personalities.”— Basel Am, Teacher
“My experience helps me connect with each of them in meaningful ways.”— Kathleena M.S.R, Teacher
Choose with context
Comparison: Why This Program vs. Alternatives
| Decision factor | This online geometry course | Self-directed practice | General tutoring |
|---|---|---|---|
| Curriculum | 18-lesson structured sequence | Student-selected topics | Varies by tutor |
| Competition connection | AoPS and competition-style content | Depends on resources | Depends on tutor experience |
| Live feedback | Live small-group instruction | Usually delayed or absent | Often individual |
| Assessment | Placement, midterm, and final assessments | Self-managed | Tutor-dependent |
| Replay and homework support | Recordings and teacher explanations | Resource-dependent | Depends on arrangement |
Academic leadership
Credentials and Key Stats
40+
Years of mathematics education and talent-development experience across the broader team
5+
Average years of teaching experience reported for North American instructors
6–12
Students in the small-group online class format
18 × 90
Lessons and minutes per lesson in the semester course
The instructional and research team includes university professors, researchers, mathematics educators, competition trainers, and instructors with backgrounds at institutions including Columbia University, Rutgers University–Newark, Caltech, Tulane University, and the University of California, Berkeley.
Questions families ask before enrolling
FAQs
Who is this AMC 10 prep course online for?+
The course is intended for students preparing for AMC, AIME, or other mathematics competitions who need stronger geometry and logical reasoning. It is also designed for advanced learners who have completed or are currently studying Algebra I. Students preparing for Honors Geometry, Algebra II, Pre-Calculus, AP mathematics, or advanced STEM pathways may also find the sequence relevant. The course is especially recommended for students in Grades 7–8 who are taking or have completed Algebra I. A placement test is required so the program can check prerequisite knowledge before enrollment.
What does the online course include?+
The course includes 18 live online lessons delivered over one semester. Each lesson lasts 90 minutes and is held once per week in a small group of 6–12 students. Students receive pre-class preparation, guided practice, homework, extension exercises, and recorded teacher explanations for homework. A midterm assessment and a final assessment are included. Instruction, course materials, homework, and supplementary resources are provided in English.
How does the placement test work?+
New students must complete the AceMath Geometry Placement Test before enrollment. The test contains 16 questions and has a 40-minute time limit. The stated passing threshold is 60%, with a typical passing score of approximately 10–11 correct answers. Questions draw from Pre-Algebra A/B and Algebra I A and cover geometry, equations, analytic geometry, number theory, square roots, exponents, ratios, probability, and other foundational areas. The placement result helps determine whether the Geometry course is an appropriate starting point.
Does the course guarantee an AMC 10 score or qualification?+
No specific AMC 10 score or qualification guarantee is provided in the course information. The program is designed to strengthen geometry, proof, pattern recognition, and multi-step problem solving that can support competition preparation. Geometry is reported as approximately 25–35% of problems in major mathematics competitions, including AMC and AIME. Students still need independent practice, broad mathematical preparation, and competition experience beyond one course. The broader pathway includes Pre-Algebra, Algebra I, Geometry, Competition Math, AMC 8, AMC, and AIME preparation.
Is a free trial class available?+
The Geometry course information states that the trial class is temporarily unavailable. It is expected to launch in Q2 2026, according to the provided course details. Families can still contact a course counselor for additional information and placement-test booking. A refund is stated to be available after the trial lesson. Because availability may change, families should confirm the current trial and enrollment process directly before making a decision.
What topics are covered in the geometry syllabus?+
The syllabus begins with straight angles, vertical angles, parallel lines, triangle angle sums, and exterior angles. It then covers SSS, SAS, AAS, and ASA congruence, similarity, areas and ratios, right triangles, perpendicular and angle bisectors, quadrilaterals, trapezoids, parallelograms, circles, arcs, tangent lines, and circular segments. Later lessons introduce prisms, cylinders, cones, spheres, lines and circles in analytic geometry, and trigonometry using right triangles, the Law of Sines, and the Law of Cosines. A midterm occurs at Lesson 9 and a final assessment occurs at Lesson 18. The progression is intended to connect visual geometry with algebraic and trigonometric expressions.
Give AMC 10 Preparation a More Structured Geometry Foundation
Start with the required placement test and find out whether this live online geometry pathway matches your student’s current level and goals.