Honors Math · Live Online · Homeschool Enrichment
Build spatial reasoning, mathematical proof, and advanced STEM readiness through an 18-lesson, live English geometry course with placement testing, guided practice, homework explanations, and assessments.
Designed for homeschool planning
A defined weekly rhythm from preparation to assessment.
The course at a glance
ACE Academy Geometry is a structured, honors-level course for homeschool students who want to study geometry through visual reasoning, formal proof, algebraic connections, and challenging problem solving. The course is based on the AoPS curriculum system and delivered in live online small groups of 6–12 students. Students complete 18 weekly 90-minute lessons, supported by preparation materials, homework, recorded explanations, midterm review, and a final assessment. New students complete a Geometry placement test so the course level matches their mathematical foundation.
The sequence moves from angles and congruent triangles to circles, solid geometry, analytic geometry, and trigonometry. It is intended to support progression toward Algebra II, Pre-Calculus, AP mathematics, physics, engineering, computer science, and other STEM subjects.
Homeschool families receive a defined curriculum, live instruction, guided practice, homework support, and assessment checkpoints. Learning records from assessments and reports help families follow progress through the course.
Why homeschoolers choose geometry
Students work with rotations, translations, reflections, projections, and two- and three-dimensional figures.
Angle relationships, congruence, similarity, proportional reasoning, and multi-step deduction make “why” as important as the answer.
Coordinates, equations, slopes, distance, area, functions, and trigonometric relationships connect diagrams to algebraic language.
The course supports honors mathematics, AP pathways, placement tests, SAT, ACT, MAP, AMC, AIME, and other competition goals.
Families comparing pathways can also review geometry strategies for math competitions or explore honors geometry program options when planning a longer mathematics sequence.
Who it fits
Students who have completed or are currently taking Algebra I and want to study Geometry earlier than a standard school schedule.
Learners who want deeper proof, reasoning, and problem-solving practice rather than formula-based instruction alone.
Students strengthening their foundation before Honors Geometry, Algebra II, Pre-Calculus, AP courses, or advanced STEM study.
Students developing similarity, circles, trigonometry, geometric reasoning, multi-step proofs, and problem-solving strategies for AMC or AIME goals.
Homeschool learners who need a defined 18-lesson sequence, weekly live instruction, practice, homework, and assessments.
Geometry is typically recommended for Grades 7–8, while Grades 5–10 may be considered according to ability and placement results.
Before enrollment, families can compare geometry classes for middle school students and consider whether the learner is better served by a full progression or a direct move from Algebra I.
What students receive
Follow a complete 18-lesson Geometry curriculum with a defined weekly rhythm.
Learn through live English instruction in a 6–12-student class.
Practice concepts in class from foundational examples to challenging problems.
Review homework with recorded teacher explanations and supplementary resources.
Measure progress through placement testing, midterm review, and final assessment.
Prepare for Honors and AP mathematics, STEM study, and competition problem solving.
A predictable weekly rhythm
Step 1
New students take the Geometry placement test to confirm readiness and course fit.
What you see: a 16-question, 40-minute assessment.
Step 2
Students prepare, join a 90-minute live lesson, practice with guidance, and complete homework.
What you see: explain, solve, communicate, and review.
Step 3
Midterm and final assessments help document learning and inform the next mathematics step.
What you see: review, assessment, and a clearer pathway forward.
A complete academic system
• Pre-class preparation materials
• Weekly 90-minute live instruction
• Guided practice in every class
• Homework and recorded explanations
• Midterm and final assessments
• Required Geometry placement test for new students
• 6–12 students per live class
• One-semester, 18-lesson sequence
• 100% English classroom and course resources
• Learning records through assessments and reports
• Geometry connected to Algebra I and Algebra II
• Preparation for Pre-Calculus and Calculus pathways
• Applications in physics, engineering, and computer science
• Support for SAT, ACT, MAP, AMC, and AIME goals
• Progression from Pre-Algebra or Algebra I into Geometry
For students pursuing competition depth, families may also review online math competition classes and Math Olympiad classes online as related enrichment options.
The 18-lesson sequence
The course begins with fundamental relationships and progresses toward circles, spatial modeling, analytic geometry, and trigonometry.
| Lesson | Topic |
|---|---|
| 1 | Angles: Parallel Lines and Angles in a Triangle |
| 2 | Congruent Triangles |
| 3 | Isosceles and Equilateral Triangles |
| 4 | Perimeter and Area |
| 5–6 | Similar Triangles I and II |
| 7 | Right Triangles |
| 8 | Bisectors |
| 9 | Midterm Assessment |
| 10 | Quadrilaterals |
| 11–13 | Sectors, Circular Segments, Angles in a Circle, and Tangent Lines |
| 14 | Solid Geometry |
| 15 | Analytic Geometry |
| 16–17 | Trigonometry I and II; Laws of Sines and Cosines |
| 18 | Final Assessment |
See the mathematics
A typical geometry problem asks students to connect a visual figure with a justified calculation. In an overlapping-circle example with centers A and B, AB = 6, and intersection points X and Y, students can calculate the shaded common region through circular segments. The documented result is 24π − 18√3. The important learning move is not only the final expression; it is decomposing the figure into sectors and triangles, identifying the relevant angle relationships, and explaining each step.
A circular-segment example demonstrates how geometry turns a shaded diagram into a sequence of area relationships.
With AB = 1 and CD = √2 as diameters, the documented shaded lune area is 1/4 after subtracting a sector and adding a triangle.
Other course examples include congruence using SSS, SAS, ASA, and AAS; isosceles right triangles; equilateral-triangle area; rhombus area; and analytic geometry. Students who want an additional geometry problem-solving resource can use these examples as a way to discuss reasoning, not just answers.
Academic foundation
The curriculum is described as being designed by university professors and experienced mathematics educators with more than 40 years of combined mathematics education and talent-development experience.
The provided course information cites a 2.6% selective acceptance rate, 100% mathematics or STEM-related academic backgrounds, an average of 5+ years of teaching experience, and complete pre-service training and assessment.
The Geometry Placement Test contains 16 questions, has a 40-minute limit, and uses a 60% passing threshold. A typical passing score is 10–11 correct answers.
Full progression
Pre-Algebra A → Pre-Algebra B → Algebra I A → Algebra I B → Geometry
Algebra I to Geometry
Suitable for students studying or having completed Algebra I independently.
Pre-Algebra to Geometry
Suitable for students who completed Pre-Algebra but need a separate Geometry course.
Choosing the right level
| Decision factor | ACE Academy Geometry | Regular Geometry | Generic Alternative |
|---|---|---|---|
| Primary emphasis | Proof, reasoning, and advanced problem solving | Conceptual understanding | Not specified in source materials |
| Course structure | 18 live lessons, weekly, 90 minutes each | Lower workload and regular pathway | Not specified in source materials |
| Class format | Online live small group of 6–12 | Not specified in source materials | Not specified in source materials |
| Assessment | Placement, midterm, and final assessments | Not specified in source materials | Not specified in source materials |
| Advanced pathway | Honors, AP, STEM, SAT, ACT, MAP, AMC, and AIME preparation | Regular mathematics pathway | Not specified in source materials |
The practical distinction is depth: regular geometry is described as more visual and intuitive, while honors geometry carries greater reasoning density, more proof problems, a faster pace, and preparation for advanced STEM pathways.
Geometry lessons in one semester
Students in each small group
Cited North American instructor acceptance rate
Combined years of curriculum expertise cited
“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.”
“Trustpilot TrustScore: 4.5/5 — highly rated by hundreds of families.”
“Join thousands of families who have transformed their children's academic journey with ACE Academy.”
Parent questions answered
The course is designed for advanced learners, students seeking more academic rigor, and homeschool students who need a complete structured Geometry program. The typical recommended level is Grades 7–8, although Grades 5–10 may be considered based on ability and placement results. Students should be taking or have completed Algebra I, completed ACE Academy Pre-Algebra A/B, or demonstrate an equivalent level. New students are required to complete the Geometry placement test. That assessment helps determine whether the course matches the student’s current mathematical foundation.
Students begin with pre-class preparation materials and then join a 90-minute live online lesson. The class includes concept explanation, worked examples, guided practice, advanced learning, and a short summary. Homework follows the lesson, and recorded teacher explanations are available for homework support. The course also includes a midterm review and assessment as well as a final review and assessment. This creates a repeatable learn–practice–explain rhythm for homeschool planning.
The course is delivered as a live online class. The stated class size is 6–12 students, providing a small-group learning format. Classroom instruction, course materials, homework, and supplementary resources are 100% in English. The course materials also state that recorded homework explanations are available. A separate course video is referenced as a classroom sample for families who want to preview the teaching format.
New students complete the AceMath Geometry Placement Test before entering the course. The test has 16 questions and a 40-minute time limit. The passing threshold is 60%, with a typical passing score of 10–11 correct answers. Knowledge areas include geometry, equations and inequalities, analytic geometry, number theory, square roots, exponents, ratios, probability, and other reasoning. Students transitioning from certain ACE Academy courses or AMC 8 Basics may not need to retest, according to the course information.
Regular Geometry is described as emphasizing conceptual understanding, a lower workload, and the regular mathematics pathway. Honors Geometry places more emphasis on proof, reasoning, abstract thinking, faster pacing, and a higher density of challenging problems. The ACE Academy Geometry course is designed to align with U.S. Honors Geometry standards. Its stated pathway connections include Algebra II, Pre-Calculus, AP mathematics, physics, engineering, computer science, SAT, ACT, MAP, AMC, and AIME preparation. Families should use the placement process to determine whether this level is appropriate for a specific student.
The course information states that a Geometry trial class is not currently available and is expected to launch in the second quarter of 2026. It also states that refunds are available after a trial class. Because the trial timing is listed as expected rather than currently available, families should confirm current availability with a course counselor. The provided course materials do not include a specific Geometry price. ACE Academy’s broader math materials cite sample package pricing of $999 for 36 lessons and $1,819 for 72 lessons, but those figures should not be treated as the Geometry course price. Contact the course counselor for current Geometry enrollment and pricing information.
Check course fit, review placement requirements, and plan the next step toward honors-level mathematics.