The Ardent Math Curriculum

Everything starts with math

How far a student gets in math shapes which opportunities open up later — advanced science, AP courses, computing, research.

For twenty years, Ardent has refined a math curriculum that moves students past grade level and teaches them to think mathematically.

The reason is prerequisites. Almost every advanced STEM opportunity sits on a mathematics foundation built years earlier. AP Physics sits on calculus. Research and computing sit on mathematical maturity. Students who reach those milestones early gain the freedom to explore what comes next. Students who reach them late spend high school catching up.

  • Accelerated Math

    For the student who wants math handled.

    Students learn mathematics six to twelve months ahead of school, enhanced by problem solving, so math becomes a strength rather than a limitation. They build strong foundations, move efficiently through the school curriculum, and reach the advanced courses early. Because the curriculum emphasizes both mastery and problem solving, students are also well prepared for the mathematical reasoning on gifted-program assessments, entrance exams, and standardized tests.

  • Math Olympiad

    For the student who enjoys mathematics enough to treat it like a sport.

    The goal is mathematical thinking, developed through challenge. Students cover the full school curriculum — carried twelve to eighteen months ahead — and then go further, with more time on problem solving, reasoning, and unfamiliar questions. Competitions like MATHCOUNTS, ARML, AMC and AIME are the benchmarks, the way games measure progress in a sport. Students come for the challenge — and find out what they are capable of.

Accelerated Math Pathway

GradeArdent courseAP / standardized test
2Accelerated Math 3
3Accelerated Math 4
4Accelerated Math 5
5Accelerated Math 6
6Accelerated Math 7
7Accelerated Math 8ISEE/SSAT
8Accelerated Math 9
9Accelerated Math 10SAT / ACT
10Accelerated Math 11AP Pre-Calculus
11Accelerated Math 12AP Calculus

Private-school students take Honor Pre-Algebra, Honor Algebra, and Honor Geometry at grades 6–8.

Math Olympiad Pathway

GradeArdent courseCompetition
K/1Math Olympiad 1
2Math Olympiad 2
3Math Olympiad 3
4Math Olympiad 4
5Math Olympiad 5
6Math Olympiad 6MATHCOUNTS & AMC 8 Basics
7Math Olympiad 7MATHCOUNTS & AMC 8 Advanced
8Math Olympiad 8AMC 10 Basics
9Math Olympiad 9AMC 10 → AIME
10Math Olympiad 10AMC 12 → AIME

Topic courses cover competition material outside the school curriculum — Counting & Probability, Number Theory, and more — taken alongside the sequence when a student is ready.

Math is where STEM begins, but talent is built through challenge. I have always viewed mathematics as a mental sport: Accelerated Math develops the fundamentals, while Math Olympiad gives students a place to train, compete, and discover how far their abilities can take them.
— Dr. Li, Founder
How and why I built it that way

The Ardent method

PartBuildsWhy
Mental MathFluencyAutomatic arithmetic frees a student's attention for the actual problem.
Skill BuilderSkillsProcedures a student owns are what make moving a grade ahead possible.
Problem SolvingReasoningUnfamiliar problems with no set method — the part that transfers, and most of the lesson.
QuizRetentionSeparates following along from doing it alone, while the gap is still small.
HomeworkMasteryIndependent repetition after the lesson, where understanding becomes ownership.

The curriculum, in numbers

  • 24Courses
  • 700+Lessons & video explanations
  • 14,000+Problem sets
  • 110,000+Problems

One curriculum, many ways to learn it

Ardent builds each course once — every lesson, video, and problem set authored as a single body of content — then delivers it through different formats. It began as printed handouts in the classroom; the same content now runs our instructor-led classes and one-to-one tutoring, and is opening to self-paced study.

  • In class

    A cohort moves together on a set schedule, led by an instructor.

    See the classes
  • One to one

    The same curriculum at a student's own pace, with a tutor's full attention.

    See tutoring
  • Self-paced

    The same lessons, videos, and problems to work through on your own — anytime, anywhere, at your own pace.

    Ask about self-paced

Because the curriculum underneath is identical, a student can move between formats — class, tutoring, on their own — without relearning or starting over.

Start at the right level

A placement shows where your child stands today — and what comes next.