bythreedu · Math Tracks · Curriculum v1.0 · 2026

Numbers, operations,
and the first steps
into algebra.

A complete Pre-Algebra course from integers and fractions through basic equations and geometry foundations. Built to close every arithmetic gap before Algebra I.

Total Lessons20at your pace
Units7progressive phases
Assignments7+problem sets
DestinationAlgebra I
Ready
00Approach
Course Philosophy

Arithmetic Before Algebra

Students who struggle in Algebra I almost always have arithmetic gaps. This course finds and closes those gaps first — integers, fractions, ratios, percents — before introducing variables. There is no point building algebraic skills on a shaky arithmetic foundation.

Understand the Reason, Not the Rule

Why does a negative times a negative equal a positive? Why do we find a common denominator? Why does cross-multiplication work? Every rule in this course is explained before it is used — so students can reconstruct it later instead of hoping to remember it.

01Curriculum
Learning Path
01
Unit 1 · Weeks 1–2
The Number System
3 lessons · Integers · Fractions · Decimals and place value
number setsintegersplace value
+
02
Unit 2 · Weeks 3–5
Operations with Integers and Fractions
3 lessons · Integer operations · Fraction arithmetic · Order of operations
integer rulesfraction arithmeticorder of operations
+
03
Unit 3 · Weeks 6–8
Ratios, Proportions, and Percents
3 lessons · Ratios · Proportional reasoning · Percent problems
ratiosunit ratespercent
+
04
Unit 4 · Weeks 9–11
Introduction to Variables and Expressions
3 lessons · Variables · Algebraic expressions · Combining like terms
variablesexpressionslike terms
+
05
Unit 5 · Weeks 12–14
Solving One-Step and Two-Step Equations
3 lessons · One-step equations · Two-step equations · Word problems
inverse operationsbalance methodequation setup
+
06
Unit 6 · Weeks 15–17
Geometry Foundations
2 lessons · Area and perimeter · Angles and basic geometry
area & perimeteranglesgeometric reasoning
+
07
Unit 7 · Weeks 18–20
Data, Graphs, and Capstone
2 lessons + capstone · Reading graphs · Basic statistics · Final review
mean median modegraphsdata interpretation
+
02Capstone
Final Exam Simulation

The capstone is a comprehensive review of all 7 units. Every missed problem gets a written correction — not just the right answer, but the reasoning that should have been applied.

○
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.
○
Algebra I Readiness Review
A final session on what Algebra I 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
  • —Algebra I readiness review at completion

The full Pre-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

Not sure where to start? One session is enough to find the exact gaps and build a plan.

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?+