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Discover apps people built on Collabby by chatting. Run them, then remix to make them yours.
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Teacher’s Classroom Tools
Build Your Own Tools
Gradient Descent and Loss Functions
Roll a ball downhill, opposite the slope, to find the minimum—and see how a high learning rate makes it bounce away.
Inscribed Angles and Tangents
Move a point around the circle to see that the inscribed angle stays the same, then discover why a tangent is perpendicular to the radius.
Shape Moves and Congruence
Slide, flip, and turn shapes to match the target, and discover that two reflections make a rotation.
Complex Numbers & the Complex Plane
Plot points on the complex plane and discover how multiplication rotates by adding angles and multiplying magnitudes, then draw regular polygons with powers.
Sampling and Bias
Change how you sample to see where bias comes from, and discover which biases remain even with larger samples.
Box Plots and Data Spread
See how one distant point pulls the mean, then use quartiles to make a box plot and spot outliers.
Binomial Distribution & Expected Value
Move the probability bars to see expected value as the balance point, then change n and p to reshape the binomial distribution.
Chain Rule & Composite Functions
Run the inner and outer machines separately to see how their two slopes multiply to make the overall slope.
Related Rates
See how one rate of change drives another as a ladder slips and a balloon inflates.
Differential Equations & Slope Fields
Draw slopes on a grid, then add curves that follow them to see what solutions to differential equations look like.
Sine and Cosine Rules
See how the circumcircle’s diameter stays the same as the angles change, then use the included angle to find the missing side.
Arithmetic & Geometric Sequences
Explore how terms grow using common differences and ratios, then pair the two sequences to discover a sum formula.
Exoplanet Hunt
A star dimming slightly or wobbling is enough to reveal a planet no telescope can see.
Atmospheric Stability and Cloud Formation
Whether rising air is warmer than its surroundings decides if clouds tower up or spread flat.
ATP Balance in Photosynthesis and Cellular Respiration
One glucose yields over thirty ATP with oxygen, but only two without it.
Pedigrees & Inheritance Patterns
When neither parent shows a trait but a child does, that trait is recessive.
Transport Across Cell Membranes
Diffusion happens on its own, but moving against the gradient costs ATP.
Entropy and Reaction Spontaneity
Raise the temperature far enough and a reaction that refused to happen suddenly runs on its own.
Enthalpy and Hess’s Law
The heat of a reaction depends only on the start and end levels, never on the path taken.
Boyle’s and Charles’s Laws & Ideal Gases
Squeeze a gas and it shrinks, heat it and it swells, with pressure, volume and temperature always tied together.
Simple Harmonic Motion & Pendulum Periods
A pendulum's period is set by its length and gravity, never by the mass of the bob.
Torque & Rotational Balance
The same push turns a bolt more or less depending on where and at what angle it is applied.
Energy Levels & Line Spectra
The size of the jump an electron makes between levels is exactly the color of light you see.
The Photoelectric Effect and Light’s Particle Nature
Red light never ejects an electron no matter how bright, but change its color and they pop out at once.