Course level
Geometry
Proof, transformation, and spatial structure — the first rigorous mathematical subject.
18
Units
98
Topics
Course
Type
Course Overview
Proof, transformation, and spatial structure — the first rigorous mathematical subject.
Units
18
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
18 units spanning 98 topics. Each topic card supports the full curriculum standard.
Unit 1
Foundations & Definitions
4 topics
Open unitUnit 2
Logic and Proof
4 topics
Open unitUnit 3
Transformations
6 topics
Open unitUnit 4
Parallel Lines & Transversals
8 topics
Open unitUnit 5
Triangle Relationships
6 topics
Open unitUnit 6
Triangle Congruence
8 topics
Open unitUnit 7
Similarity
7 topics
Open unitUnit 8
Right Triangles
5 topics
Open unitUnit 9
Trigonometric Foundations
5 topics
Open unitUnit 10
Quadrilaterals
5 topics
Open unitUnit 11
Polygons
4 topics
Open unitUnit 12
Circles
6 topics
Open unitUnit 13
Coordinate Geometry
6 topics
Open unitUnit 14
Area
6 topics
Open unitUnit 15
Surface Area
4 topics
Open unitUnit 16
Volume
6 topics
Open unitUnit 17
Geometric Modeling
4 topics
Open unitUnit 18
Proof 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
Where this level leads. Acceleration is available when mastery evidence supports it.
Professor Mode
Every unit and topic connects to Professor Mode — teaching objectives, misconceptions, Socratic questions, and intervention strategies.
Open Professor Mode