Honors Math · Competition Problem Solving
Build the algebraic fluency, logical reasoning, and modeling skills needed to approach AMC-style problems with a structured, AoPS-based learning path.
A focused algebra pathway
AMC 10 algebra tutoring is most useful when it connects fundamentals to unfamiliar, multi-step problems. ACE Academy combines systematic Algebra I instruction with competition examples, guided practice, assessments, and feedback so students can learn not only how to solve an equation, but why a particular strategy works.
Quick definition
AMC 10 algebra tutoring is structured instruction that develops the algebra concepts and problem-solving habits commonly needed for AMC-level mathematics. It helps students work with equations, inequalities, functions, ratios, percentages, quadratics, sequences, and mathematical models while practicing flexible reasoning. ACE Academy’s supplied materials reference AMC 8, MathCounts, AMC, AIME, SAT, ACT, and MAP; they do not provide a dedicated AMC 10 syllabus or AMC 10 score data, so this pathway should be understood as relevant preparation rather than a score guarantee.
For students moving from school Algebra I toward competition mathematics, the combination of Honors Math and competition-focused practice can provide a more deliberate bridge between routine exercises and non-routine questions. Families can also review AMC 10 preparation guidance when deciding whether the student needs algebra reinforcement, competition practice, or both.
Built around the learner
The same course architecture can support different goals, from stronger classroom performance to a more serious competition foundation.
Students planning to participate in AMC or AIME competitions can work on algebraic reasoning, modeling, and strategies for high-frequency competition topics. The program is designed to make unfamiliar problems feel more structured without reducing them to a single memorized method.
Students who have completed Pre-Algebra and want a more rigorous route into Algebra I can build fluency with symbolic manipulation, functions, systems, and quadratics. The pathway can also support early advancement toward Geometry, Algebra II, Pre-Calculus, and Calculus.
Students already studying algebra at school can use systematic review, additional practice, and deeper conceptual explanations to strengthen understanding and improve confidence. The curriculum covers both routine techniques and applications that require translation from words into equations.
Students aiming to complete Algebra I earlier or qualify for Honors and AP math tracks can follow a placement-led course sequence. Families can explore Algebra I advancement support alongside the competition-oriented curriculum.
Curriculum depth
The goal is not simply to move faster through a textbook. Students build a connected set of algebra skills that can be applied to school assignments, placement tests, and competition-style questions.
Practice expressions, exponents, radicals, factoring, equations, functions, and inequalities with increasing complexity.
Model weight, age, rate, distance, cost, number, ratio, proportion, work, and conversion problems with equations.
Use Algebra I foundations with selected AMC 8 and MathCounts competition problems and AoPS-based materials.
Work with slope, intercepts, Cartesian-plane graphs, function transformations, composition, inverses, and linear models.
Compare substitution, elimination, factoring, strategic addition, ratio modeling, and other approaches rather than relying on one routine.
Create a foundation for Geometry, Algebra II, Pre-Calculus, Calculus, Honors placement, AP pathways, and STEM subjects.
A representative lesson arc
The instructional format follows a learn–practice–explain loop, giving students repeated opportunities to see a method, use it, and communicate their reasoning.
The student completes an online placement assessment so the course recommendation reflects current knowledge, gaps, and pace.
What the student sees: a clear starting point and recommended learning path.
The instructor connects a concept to prior knowledge, demonstrates representative problems, and makes the strategy visible.
What the student sees: worked examples, explanations, and tiered practice.
Students solve independently, review homework explanations, complete assessments, and receive ongoing learning feedback.
What the student sees: more independent reasoning and a record of progress.
Inside the program
Worked use case
A student preparing for AMC-style algebra questions may need to recognize the same underlying idea in different forms. The examples below show how the course emphasizes modeling and strategic simplification.
Consider the system x + y + 2z = 35, 2x + y + z = 36, and x + 2y + z = 37. Adding the equations produces 4(x + y + z) = 108, so x + y + z = 27. Subtracting from the original equations then gives z = 8, x = 9, and y = 10. The useful lesson is not just the answer; it is recognizing when a system has been designed for a clean aggregate.
Explore systems equation strategiesIf 20 questions award 5 points for a correct answer and subtract 3 points for an incorrect answer, a total of 60 can be represented by 5(20 − w) − 3w = 60. Simplifying gives 100 − 8w = 60 and w = 5. This example builds the habit of defining a variable, translating the words, and checking whether the result makes sense in context.
Practice algebra word problemsEvidence and perspectives
of surveyed respondents reported stronger logic after eight lessons, according to a site survey.
of families gave five-star ratings in the site figures provided.
of instructors were reported to hold master’s or doctoral degrees in a site guide.
teacher selection rate cited for competitive math faculty in the supplied company information.
“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.”
A highly rated signal shown on the ACE Academy site and attributed to hundreds of families.
Families reported increased confidence in the site survey figures supplied for this page.
Choose with clarity
The comparison below uses only distinctions supported by the supplied program information. “Generic alternative” refers to a broad category, not a named competitor.
| Decision factor | ACE Academy | Self-directed study | General tutoring |
|---|---|---|---|
| Curriculum structure | 18-lesson Algebra I modules with assessments | Depends on the student’s plan | May be lesson-by-lesson |
| Competition connection | AoPS-based materials and selected AMC 8/MathCounts problems | Requires independent resource selection | Depends on tutor experience and materials |
| Placement | Online assessment before enrollment | Self-estimated | Varies by provider |
| Class format | Live small groups of 6–12 students | Usually independent | Format varies |
| Review support | Recorded playback and teacher explanations | Student-managed | Depends on tutor and platform |
Families comparing options can also review online math tutoring options before selecting a format.
The academic foundation
Years of combined mathematics education and talent-development experience cited for the research and curriculum team
Selection or acceptance rate cited in multiple course materials
Average years of teaching experience cited for instructors
Completion of pre-service training and assessment cited for instructors
The supplied materials list Dr. Zhengyu Mao, a Rutgers University Newark professor and Columbia University mathematics Ph.D.; Dr. Hui Jin, a Columbia University Electrical Engineering adjunct professor and Caltech Ph.D.; Dr. Jian Li, a Tulane University associate professor and Ph.D. mentor; and Dr. Yuan Zhao, a Stanford University Ph.D. in Linguistics and Cognitive Science. Listed instructors include graduates of Columbia University, the University of California, Berkeley, Virginia Tech, and the University of Washington.
Course scope
Algebra I A establishes the core language of algebra, while Algebra I B extends it into more advanced structures and functions. Together, the modules cover the topics students may need when a competition problem disguises a familiar concept inside an unfamiliar setting.
Order of operations, variables, expressions, exponents, fractional exponents, radicals, distribution, factoring, and simplifying.
One-variable equations, systems, word problems, ratios, proportions, percentages, conversion factors, rates, speed, distance, and time.
Inequalities, graphs, slope, intercepts, quadratics, factoring, the quadratic formula, Vieta’s formulas, discriminants, and parabolas.
Complex numbers, completing the square, polynomial operations, rationalizing denominators, and advanced inequalities.
Composing and combining functions, inverses, exponential and logarithmic functions, absolute-value, radical, floor, ceiling, and rational functions.
Arithmetic and geometric sequences and series, selected AMC 8 and MathCounts problems, midterm review, and final assessment.
Placement and enrollment
Students complete an online placement test before enrollment. The assessment is used to identify current knowledge, learning gaps, and an appropriate course level; the supplied materials do not list a dedicated AMC 10 placement test.
| Track | Assessment | Questions | Passing threshold | Time |
|---|---|---|---|---|
| Honors | Algebra I A | 17 | 85%; 14 correct | 40 minutes |
| Honors | Algebra I B | 16 | 60%; 10–11 correct | 40 minutes |
| Competition | AMC 8 Basics A | 16 | 60%; 10–11 correct | 40 minutes |
| Competition | AMC 8 Basics B | Not available | Not available | Not available |
Pre-Algebra A → Pre-Algebra B → Algebra I A → Algebra I B → Geometry
School Algebra I → ACE Academy Geometry, particularly for students studying outside school.
Pre-Algebra or Algebra I → Competition Math → AMC/AIME preparation
Common questions
The supplied materials do not identify a dedicated AMC 10 syllabus, AMC 10 placement test, or AMC 10 score data. Instead, the pathway combines ACE Academy Honors Math, Algebra I topics, AoPS-based curriculum, and competition-focused problem solving that is relevant to AMC preparation. The materials specifically reference AMC 8 and MathCounts practice within Algebra I and describe Competition Math as supporting AMC, MathCounts, and AIME preparation. Families should therefore view this as algebra-focused preparation for AMC-style thinking rather than a dedicated AMC 10 guarantee. A course counselor can provide the most current placement and enrollment guidance.
The Algebra I curriculum includes expressions, variables, order of operations, exponents, fractional exponents, radicals, linear equations, systems, word problems, ratios, proportions, percentages, and conversion factors. It also covers rates, graphing, slope, intercepts, inequalities, quadratics, factoring, functions, polynomials, complex numbers, and sequences. Algebra I B extends into the quadratic formula, Vieta’s formulas, completing the square, discriminants, function transformations, logarithms, rational functions, and arithmetic and geometric series. These topics are taught as connected ideas rather than as an isolated list of formulas. The competition relevance comes from applying the ideas to multi-step and non-routine problems.
Students complete an online placement assessment before enrollment. The process considers grade level, whether the student needs Honors or Competition Math, the current school curriculum, and the student’s learning pace. The supplied assessment information includes Algebra I A, Algebra I B, and AMC 8 Basics A options with stated question counts, thresholds, and 40-minute time limits. There is no dedicated AMC 10 placement test listed in the supplied materials. The resulting report is used to recommend a course and learning path rather than asking families to choose solely from a course title.
Classes are live, taught in English, and designed for groups of 6–12 students. A 90-minute session is described as five minutes of warm-up or a mathematical game, 45 minutes of core instruction and tiered practice, a five-minute break or energy activity, 30 minutes of advanced instruction and additional practice, and five minutes of review. Students receive explanations, worked examples, guided practice, independent practice, and homework with recorded teacher explanations. Recorded playback is available for review. One source states that 39% of classroom time is allocated to active student output, supporting mathematical communication and independent reasoning.
ACE Academy provides a Book a Free Trial pathway through its supplied trial link. The course materials state that there is currently no Algebra I trial class. Parents may instead view a Pre-Algebra or Honors formal-class excerpt to understand the teaching format and classroom experience. A placement evaluation is also part of the enrollment process and helps identify an appropriate course level. Families should use the current trial and contact options to confirm available subject, schedule, and placement details.
The supplied company information includes sample math package pricing of $999 for 36 lessons and $1,819 for 72 lessons. Those figures are presented as examples rather than a complete AMC 10 algebra pricing schedule. The exact cost may depend on the selected course, package, location, enrollment period, and current availability. The materials also describe flexible class packages and pricing for semester or multi-semester enrollment. Families should contact ACE Academy for current course-specific pricing before enrolling.
Start with placement guidance, understand the learning path, and see whether ACE Academy Honors Math fits your student’s goals.