Pre-calculus Basics
Bridge the gap between algebra and calculus by mastering the behavior of shapes and numbers. Learn how to predict patterns and understand the math of change.
Like Duolingo, but for Pre-calculus Basics. Tomo turns the whole topic into a game you play five minutes a day, until it actually sticks.
54 levels across 4 sections, about 108 minutes end to end, roughly 22 days at five minutes a day. It moves through The World of Functions, Polynomials and Power, Angles and Circles, and Growth and Logarithms. It starts from scratch.
Free forever · No credit card · iPhone & Android
Key ideas in Pre-calculus Basics
- A function requires a unique output for every input
- Multiple inputs can share the same output
- Domain refers to the independent variable (x-values)
- Range refers to the dependent variable (y-values)
- Domain and Range definitions
- Repeating x-values with different y-values violates the function definition
- The conceptual definitions of domain and range
- Repeating y-values with different x-values is allowed in a function
- Algebraic notation represents operations on an input variable x
- The fundamental definition of a function regarding unique outputs
- The order of operations in a verbal description must be preserved in the formula
- Identifying non-functions from sets of data
- Translating a verbal rule into algebraic notation
- The domain represents the constraints or 'boundaries' on inputs
- Certain operations (like division by zero) exclude values from the domain
- Graphs are read from left to right
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 Pre-calculus Basics 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.
Which of these scenarios is perfectly fine for a mathematical function?
Get it right to open this lesson and 53 more in the app.
Where Pre-calculus Basics takes you
- 1
The World of Functions
- How Inputs Become Outputs
- Reading Graphs Like a Map
- Moving and Stretching Shapes
- Combining Different Math Rules
- 2
Polynomials and Power
- Understanding Smooth Curves
- Finding Where Lines Cross Zero
- Working with Fractions in Algebra
- The Secret of Imaginary Numbers
- Dividing Long Math Sentences
- Predicting End Behavior
- 3
Angles and Circles
- Measuring Turns with Radians
- The Magic of the Unit Circle
- Drawing Sine and Cosine Waves
- 4
Growth and Logarithms
- How Fast Things Double
- The Reverse of Exponents
- Solving Real-World Growth Problems
- Rules for Simplifying Logs
- The Natural Number E
4 sections · 18 units · 54 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
Pre-calculus Basics is taught in 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 Pre-calculus Basics today.
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