Interactive Demo
The Translation Layer: Related Rates Demo
The Translation Layer: Related Rates Demo is a free, interactive learning demo from the Calculus I: Single Variable Calculus course on Lykke. It helps you build intuition for Mathematical Abstraction vs. Real-World Application, Intuitive Learning Tools, Equity and Implicit Bias in STEM, Visual Learning and Sketching. Play with it directly in your browser — it features 2 sliders, 1 button and a live visual canvas. Adjust the slider to pump air. This demo lives in the “Course Philosophy and Pedagogy” section of the course.

How to use this demo
- Adjust the slider to pump air.
- Watch how the expansion slows down!
- Drag the “Air Flow Rate ( dV/dt)” slider to change the inputs and watch the result update live.
- Use the “Reset Balloon” button to trigger actions or reset the demo.
- Experiment freely — there's nothing to break, and every change is reversible.
What you'll explore
- Mathematical Abstraction vs. Real-World Application
- Intuitive Learning Tools
- Equity and Implicit Bias in STEM
- Visual Learning and Sketching
Frequently asked questions
What does the The Translation Layer: Related Rates Demo demo do?
An introduction to the unique teaching methods used in this course, focusing on making calculus intuitive and addressing social barriers in STEM. The Translation Layer: Related Rates Demo turns that idea into something you can manipulate directly and watch respond.
What Calculus I: Single Variable Calculus concept does The Translation Layer: Related Rates Demo teach?
An introduction to the unique teaching methods used in this course, focusing on making calculus intuitive and addressing social barriers in STEM. It focuses on Mathematical Abstraction vs. Real-World Application, Intuitive Learning Tools, Equity and Implicit Bias in STEM, Visual Learning and Sketching from the “Course Philosophy and Pedagogy” section.
What can I control in The Translation Layer: Related Rates Demo?
The “Air Flow Rate ( dV/dt)” slider change the key inputs; the “Reset Balloon” button run actions or reset the demo. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.
How does The Translation Layer: Related Rates Demo fit into the Calculus I: Single Variable Calculus course?
Calculus I: Single Variable Calculus is a comprehensive three-part series designed to bridge the gap between abstract mathematical notation and real-world applications. Led by Professor Gigliola Staffilani of MIT, the c… This demo is the interactive piece for the “Course Philosophy and Pedagogy” section. Open the full Calculus I: Single Variable Calculus course wiki at https://www.getlykke.com/explore/public/calculus-i-single-variable-calculus-9ac12726-58e8-4d0b-8a4f-75a32b2484bc for notes, flashcards, quizzes and the other demos.
What will I understand better after using The Translation Layer: Related Rates Demo?
You'll build intuition for Mathematical Abstraction vs. Real-World Application, Intuitive Learning Tools, Equity and Implicit Bias in STEM, Visual Learning and Sketching — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on Calculus I: Single Variable Calculus alone.
From the Calculus I: Single Variable Calculus course
This interactive demo is part of the Course Philosophy and Pedagogy section. Explore the full Calculus I: Single Variable Calculus course wiki on Lykke — with notes, flashcards, quizzes and more interactive demos.
Open the Calculus I: Single Variable Calculus course →