Course level
Pre-Algebra
The rigorous bridge from arithmetic to algebra — number systems to functions.
18
Units
73
Topics
Course
Type
Course Overview
The rigorous bridge from arithmetic to algebra — number systems to functions.
Units
18
Topics
73
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 73 topics. Each topic card supports the full curriculum standard.
Unit 1
Number Systems
4 topics
Open unitUnit 2
Rational & Irrational Numbers
4 topics
Open unitUnit 3
Exponents
4 topics
Open unitUnit 4
Radicals
4 topics
Open unitUnit 5
Algebraic Expressions
4 topics
Open unitUnit 6
Equations
5 topics
Open unitUnit 7
Inequalities
4 topics
Open unitUnit 8
Ratios & Proportions
4 topics
Open unitUnit 9
Percent
4 topics
Open unitUnit 10
Coordinate Geometry
4 topics
Open unitUnit 11
Linear Relationships
5 topics
Open unitUnit 12
Functions
4 topics
Open unitUnit 13
Introductory Systems
4 topics
Open unitUnit 14
Geometry Connections
4 topics
Open unitUnit 15
Statistics
4 topics
Open unitUnit 16
Probability
4 topics
Open unitUnit 17
Mathematical Modeling
4 topics
Open unitUnit 18
Algebra 1 Readiness
3 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