Pre-calculus Basics
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.
For the part of you with thirty open tabs that never became anything.
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
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.
- 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.
You pick the voice
Pre-calculus Basics 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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