Course level
Precalculus
Advanced functions, trigonometry, and the complete preparation for calculus.
20
Units
98
Topics
Course
Type
Course Overview
Advanced functions, trigonometry, and the complete preparation for calculus.
Units
20
Topics
98
Type
Course
Current Mastery
Mastery is earned through independent success, transfer, and retention — tracked per topic. Open a unit to see evidence.
View full mastery evidenceMastery Evidence
Each topic accumulates independent-success, transfer, and retention evidence before it can be marked mastered.
Open My Mathematical JourneyUnits & Topics
20 units spanning 98 topics. Each topic card supports the full curriculum standard.
Unit 1
Advanced Functions
5 topics
Open unitUnit 2
Polynomial Functions
6 topics
Open unitUnit 3
Rational Functions
5 topics
Open unitUnit 4
Exponential Functions
4 topics
Open unitUnit 5
Logarithmic Functions
5 topics
Open unitUnit 6
Trigonometric Foundations
5 topics
Open unitUnit 7
Unit Circle
5 topics
Open unitUnit 8
Trigonometric Functions
5 topics
Open unitUnit 9
Trigonometric Identities
6 topics
Open unitUnit 10
Trigonometric Equations
5 topics
Open unitUnit 11
Law of Sines
4 topics
Open unitUnit 12
Law of Cosines
4 topics
Open unitUnit 13
Analytic Geometry
6 topics
Open unitUnit 14
Conic Sections
4 topics
Open unitUnit 15
Sequences & Series
6 topics
Open unitUnit 16
Parametric Equations
4 topics
Open unitUnit 17
Polar Coordinates
4 topics
Open unitUnit 18
Vectors
5 topics
Open unitUnit 19
Introductory Limits
6 topics
Open unitUnit 20
Calculus Readiness Capstone
4 topics
Open unitDiagnostic
Place yourself accurately within this level before beginning targeted practice.
Practice
Targeted practice grounded in understanding and verification — not rote repetition.
Open School Mastery practiceChallenge Problems
Non-routine problems that extend each topic into competition and advanced territory.
Explore Competition AcademyMathematical Modeling
Represent real situations mathematically, validate against reality, and refine.
Open Math LabVisual Mathematics Lab
Multiple representations — equations, graphs, diagrams, tables — for every concept.
Open Visual LabCompetition Extensions
Every unit connects to Pathway C — non-routine reasoning for AMC, Olympiad, and MathGymUSA original problems.
Competition Mathematics pathwayRecommended Next Lesson
Based on diagnostic and mastery evidence, the academy recommends where to continue — set after you take the diagnostic.
See recommendation in My JourneyPrerequisite Repair
If a diagnostic reveals gaps, repair these prerequisite levels before continuing.
Next-Level Preview
Precalculus is the capstone of the academy — the bridge to calculus. Continue building mastery here, or extend into advanced and competition pathways.
Professor Mode
Every unit and topic connects to Professor Mode — teaching objectives, misconceptions, Socratic questions, and intervention strategies.
Open Professor Mode