Can simple things be hard to predict?
A hands-on chaos curriculum you explore right in your browser. The same big idea — how far into the future can we really see? — revisited from grade 3 to grade 8, plus an activity that connects it all to AI.
Explorer
Grades 3–4Can simple things be hard to predict? · Everything visual, no equations.
Double Pendulum
Drop two nearly-identical pendulums and watch them go their separate ways.
Single Pendulum
A swing you can predict — your baseline for "boring but reliable."
Tiny Changes
Nudge the start by a hair and watch a graph score how far apart they drift.
Chaos Art
Let a chaotic system paint — every run is a one-of-a-kind picture.
Investigator
Grades 5–6Can something follow rules and still be hard to predict? · Simple graphs begin.
Butterfly Effect
Set a tiny starting difference and measure how fast two worlds drift apart.
Weather Toy Model
Be the forecaster — predict the next state, then see how you did.
Population Growth
One simple rule for rabbits — calm, then cycles, then chaos.
Attractor Explorer
Watch motion settle into a shape it never quite leaves.
Scientist
Grades 7–8Why do deterministic systems become unpredictable? · Real chaos science.
Logistic Map
Turn one knob and walk from stability through period-doubling into chaos.
Lorenz System
The original butterfly — a 3D attractor you can rotate.
Bifurcations
The famous fig-tree diagram, built live as you sweep the parameter.
Chaos vs Randomness
Two signals, one rule-bound and one random — can you tell which is which?
Prediction Activities
ActivitiesDifferent worlds — AI, atoms, and more — all asking the same question: what can we predict, and how far ahead?
Predict the Hit Song 🎵
Train your own hit-predictor and discover what machine learning actually does: find patterns in past data — no math, no magic.
Can You Predict the AI?
A guided activity: next-word prediction, the chaos test, and the predictability horizon — drawing, sentences, and plasmas asking the same question.
Predict the Banana 🍌
Random atoms, predictable patterns — radioactive decay as a playful intro to probability and the law of large numbers.
Predict the Quantum Cat 🐱
The third kind of prediction: when nature itself offers only probabilities — and the unifying map of the whole site.