Intuitive Math by Study Today
Instructed by Lucas Wu
A 4-week small-group enrichment program introducing middle school students to competition-style mathematics in a structured, approachable environment.
AMC8 Summer Foundations is designed to introduce motivated middle school students to competition-style mathematics — building familiarity with common problem types while developing stronger problem-solving habits.
16 sessions across 4 weeks. Each week focuses on a major AMC8 topic area.
Multi-step equations, ratios, rates, and proportions. Translating verbal statements into algebraic expressions. Word problem strategies.
Mean, median, mode, weighted averages, and mixtures. Introductory statistics and data interpretation problems.
Arithmetic sequences, pattern recognition, recursive thinking, and introductory functional relationships and algebraic reasoning.
Integer solutions, factoring techniques, algebraic manipulation strategies, and AMC-style equation and divisibility problems.
Parity, divisibility rules, prime factorization, greatest common divisor (GCD), least common multiple (LCM), and factor relationships.
Modular arithmetic intuition, congruence notation, modular addition/subtraction/multiplication, negative remainders, and basic remainder computations.
Remainder cycles, last-digit and repeating-pattern problems, powers modulo n, and introductory modular reasoning techniques.
Mixed AMC-style number theory workshop: divisibility and remainder problem solving, pattern recognition, introductory simultaneous congruence reasoning.
Fundamental counting principles, addition and multiplication rules, disjoint cases, introductory inclusion-exclusion intuition, and organized casework.
Permutations and combinations, arrangements with repeated objects, circular arrangements, basic restriction problems ("together" / "separated").
Complementary counting, symmetry and overcounting intuition, systematic listing strategies, and pattern-based counting approaches.
Introductory probability, favorable vs. total outcomes, complementary probability, independent events, and basic expected value intuition.
Mixed AMC-style counting and probability workshop: strategy selection, multi-step problem solving, timed practice and discussion.
Pythagorean theorem, Pythagorean triples, distance relationships, and introductory geometric problem-solving strategies.
Circles, arcs, sectors, tangent properties, and angle relationships involving circles.
Similar figures, similarity ratios, scale factors, proportional reasoning, and applications of similar triangles.
This program is intended for motivated students who are comfortable with prealgebra. Prior AMC experience is not required.
Not sure if your student is ready? Reach out and we can help assess fit.
The program is taught by Lucas Wu, founder of Intuitive Math and Study Today. Lucas graduated from UC San Diego with a degree in Mathematics–Computer Science.
Since graduating, Lucas has been actively tutoring K–12 students in math and providing competition math coaching, working with students in both private and small-group settings across algebra, geometry, calculus, AP-level mathematics, and AMC-style enrichment.
In addition to teaching, Lucas occasionally shares mathematical problem-solving content online, including walkthroughs and livestream-style discussions of contest-style problems.
A sample of outcomes from students who have trained with Lucas in competition math and AMC preparation.
Lucas has experience teaching both private and small-group mathematics classes, including combinatorics and problem-solving enrichment courses through established tutoring programs in Los Angeles.
Individual outcomes vary based on prior background, effort, and independent practice outside class.
Students receive three layers of practice support throughout the program — in class, at home, and beyond.
Focused worksheets assembled from real AMC and competition math problems through our question bank, designed to reinforce concepts covered in each class session.
View Example WorksheetPowered by Toiya — the Study Today question bank platform.
Students who show recurring difficulty with prerequisite skills may be directed toward targeted foundational practice — such as IXL or Khan Academy exercises for arithmetic fluency or algebra fundamentals — before returning to more advanced contest-style problems. The goal is to make sure no student is stuck on background material that holds back their progress in the program.
Students are encouraged to reach out outside of class with questions about practice problems or homework. All questions are reviewed and answered directly by Lucas — not automated tools — so students receive substantive, personalized guidance when they get stuck between sessions.
Only a $50 refundable deposit due at checkout to reserve your spot.
Pay $50 Deposit →Deposits are fully refundable if enrollment is canceled before the program starts.
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Thank you for your interest in the Summer 2026 program. We'll be in touch within 24 hours with details and next steps.