The Math of Change
Like Duolingo, but for The Math of Change. Tomo turns the whole topic into a game you play five minutes a day, until it actually sticks.
For the part of you with thirty open tabs that never became anything.
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 Predicting the Path and Mastering the Rate of Change. It starts from scratch.
Free forever · No credit card · iPhone & Android
Key ideas in The Math of Change
- The sign of the leading coefficient determines if the graph eventually goes up or down
- Even-degree polynomials have the same behavior on both ends
- Higher-order terms dominate the trend as x becomes very large
- A polynomial of degree n can have at most n-1 turning points
- The degree represents the maximum complexity of the trend's path
- Predicting long-term outcomes based on the leading term's sign and degree
- Understanding the relationship between degree and turning points
- Roots or zeros occur where the output value (y) is zero
- Solving for x when f(x)=0 identifies 'impact' or 'reset' points
- Factors with even exponents create a 'U-turn' at the root
- Factors with odd exponents allow the trend to switch from positive to negative
- Distinguishing between 'bouncing' and 'crossing' behaviors at the x-axis
- Even functions are mirror images across the y-axis
- Identifying the significance of x-intercepts in a real-world model
- Even functions only contain even-numbered exponents
- Odd functions have rotational symmetry around the origin
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 The Math of Change 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.
If a trend is modeled by an even-degree polynomial, what can you say about its start and end behavior?
Get it right to open this lesson and 11 more in the app.
Where The Math of Change takes you
Bridge the gap between basic algebra and the powerful world of calculus. Learn to predict trends, find optimal solutions, and understand the hidden patterns in how things grow and shrink.
- 1
Predicting the Path
- Mapping Trends with Polynomials
- The Logic of Limits
- 2
Mastering the Rate of Change
- The Instantaneous Speedometer
- Optimization: Finding the Best Path
2 sections · 4 units · 12 levels. Built to play, not to enroll.
You pick the voice
The Math of Change is taught in the The Bestie style: your friend who just gets it. 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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Start The Math of Change today.
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