Algebraic Fluency: The Art of Balance
Move beyond simple arithmetic to master the logic of equations. Learn to manipulate variables, scale relationships, and find the exact point where two paths cross.
Like Duolingo, but for Algebraic Fluency: The Art of Balance. Tomo turns the whole topic into a game you play five minutes a day, until it actually sticks.
A short one: 12 levels across 2 sections, about 24 minutes end to end, roughly 5 days at five minutes a day. It moves through The Logic of Equality and Visualizing Change. It assumes you already know the basics.
Free forever · No credit card · iPhone & Android
Key ideas in Algebraic Fluency: The Art of Balance
- Equations function like physical scales where both sides must weigh the same
- Performing an operation on only one side creates an inequality or 'tilt'
- The Golden Rule requires identical operations on both sides to preserve truth
- Applying the Golden Rule of equations to maintain equality
- Inverse operations are mathematical opposites that cancel each other out
- Using an inverse operation effectively 'zeros out' or 'ones out' a constant
- Subtraction undoes addition while division undoes multiplication
- Identifying the correct inverse operation to 'undo' a calculation
- The distributive property multiplies the outer term by every term inside
- Distributing 'unlocks' terms so they can be moved across the equals sign
- Simplifying parentheses is usually the first step in multi-step equations
- Sequencing the steps to solve an equation involving parentheses
- Isolation means the variable stands alone with a coefficient of positive one
- Verification involves substituting the found value back into the original equation
- A correct solution results in a true statement where both sides are identical
- Recognizing the goal of variable isolation as strategic simplification
You've tried the other tabs
Thirty open tabs. Four facts you actually kept.
You watched. You nodded. By Sunday it was gone.
One answer, then back to scrolling.
Eight weeks. You meant to finish. You didn't.
Tomo gives Algebraic Fluency: The Art of Balance the Duolingo treatment: levels, streaks, and quick quizzes that test what you just learned. That game loop is what the tabs above never had, so it's the one you actually finish.
Here's what playing it feels like
A real question from this course. Take your best guess.
What happens to our math scale if we add a number to the left side but do nothing to the right side?
Get it right to open this lesson and 11 more in the app.
Where Algebraic Fluency: The Art of Balance takes you
- 1
The Logic of Equality
- Balancing the Scale
- Scaling Relationships
- 2
Visualizing Change
- The Geometry of Growth
- Finding the Intersection
2 sections · 4 units · 12 levels. Built to play, not to enroll.
Tomo is in ChatGPT
Tomo is also a ChatGPT plugin: the same playable courses, built and played inside your chat.
Add Tomo to ChatGPT- What to ask
- “Make me a Tomo course on black holes.” “Turn this chat into a Tomo course.”
- What you get
- Quick questions with instant feedback, hearts and stars, ready to play in about a minute.
- Where it goes
- No sign-up to start. Connect your Tomo account and your streak carries on in the app.
You pick the voice
Algebraic Fluency: The Art of Balance is taught in the Explain Like I'm 5 style: no big words. promise.. Want a different feel? In the app you can spin up the same topic in any of Tomo's teaching styles. Same facts, totally different vibe.
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