bythreedu · Math Tracks · Curriculum v1.0 · 2026

Variables, equations,
and the structure
of mathematical argument.

A complete Algebra course from the real number system through exponential functions. Built to close every gap before precalculus — with emphasis on understanding why each rule works, not just applying it.

Total Lessons25at your pace
Units7progressive phases
Assignments7+problem sets
DestinationPrecalculus
Ready
00Approach
Course Philosophy

Rules Have Reasons

Every algebraic rule in this course is derived or explained before it is used. Why does the direction of an inequality flip when you multiply by a negative? Why does factoring work? Why does the quadratic formula look the way it does? Students who know the reasons do not forget the rules.

The Setup Is the Skill

Most algebra errors are not computation errors — they are setup errors. Students write the wrong equation, choose the wrong method, or skip the translation step entirely. This course treats problem setup as the primary skill and computation as the easy part.

01Curriculum
Learning Path
01
Unit 1 · Weeks 1–2
The Real Number System
3 lessons · Number sets · Properties · Order of operations
number setsproperties of realsorder of operations
+
02
Unit 2 · Weeks 3–5
Linear Equations and Inequalities
4 lessons · Solving equations · Inequalities · Systems · Applications
inverse operationssystemsinterval notation
+
03
Unit 3 · Weeks 6–8
Linear Functions and Graphing
3 lessons · Slope · Three forms of a line · Graphing systems
slope as ratethree forms of a linesystem solutions
+
04
Unit 4 · Weeks 9–12
Polynomials and Factoring
4 lessons · Polynomial operations · Factoring methods · Factoring strategy
degree & leading coefficientfactoring methodsdifference of squares
+
05
Unit 5 · Weeks 13–16
Quadratic Equations and Functions
4 lessons · Three solving methods · Discriminant · Graphing parabolas
discriminantvertex formcompleting the square
+
06
Unit 6 · Weeks 17–20
Rational and Radical Expressions
4 lessons · Rational expressions · Radical expressions · Rational exponents
LCD for polynomialsrationalizingrational exponents
+
07
Unit 7 · Weeks 21–24
Exponential Functions and Capstone
3 lessons + capstone · Exponential growth · Function inverses · Final synthesis
exponential vs linearfunction compositioninverse functions
+
02Capstone
Final Exam Simulation

The capstone is a student-built problem set covering every unit in the course. You write the problems, solve them, and explain your reasoning. The final session is a live critique of your work together.

○
Gap Review
Two weakest units revisited before the exam simulation.
○
Timed Final Exam
Full-length, independent, same conditions as a real exam.
○
Written Corrections
Every missed problem corrected with reasoning — not just the right answer.
○
Precalculus Readiness Review
A final session on what Precalculus will demand from day one.
03Investment
Pricing Options
Location
per Session
$125
1.5 hrs · online only
Session length
  • —Flexible scheduling
  • —1-on-1 focused attention
  • —No long-term commitment

Best for trying the curriculum before committing to a plan.

Popular
per Month
$500
4 sessions · 1.5 hrs/session
Frequency
Session length
  • —Session notes after every lesson
  • —Async DM support between sessions
  • —Priority scheduling

Adjust frequency and session length above — price updates automatically.

Per Semester
$2,000
16 sessions · 1.5 hrs/session
Term length
Frequency
Session length
  • —All 7 units — full course arc
  • —Session notes after every lesson
  • —Capstone exam simulation + written corrections
  • —Precalculus readiness review at completion

The full Algebra arc in one commitment.

📍
In-person available · NYC onlyMonthly and semester plans can be done in-person. Select “In-person · NYC” above to see adjusted pricing.
04Contact
Let's Talk

Starting Algebra for the first time or filling in gaps before precalculus? One session is enough to find exactly where you are.

What do I need to know coming in?+
Are lessons online or in-person?+
Can I switch plans later?+
What if I need to reschedule?+