Interactive Simulations

Explore how slope and intercept change the graph of a line, in point-slope, slope-intercept, and standard form.

Take a tour of trigonometry using degrees or radians — see sine, cosine, and tangent values change as an angle sweeps around the unit circle.

Build vectors on a grid, change their length and angle, and add them together to see the resultant.

Build a function machine from simple operations, feed inputs through it, and figure out mystery functions from their outputs.

Drop balls through a triangular grid of pegs and watch the outcomes pile up into a distribution.

Fire a projectile and explore how angle, speed, and air resistance change its trajectory, range, and time of flight.

Push objects around and see how applied force, friction, and mass combine to produce acceleration.

Build circuits from batteries, resistors, wires, and bulbs, and measure current and voltage with a virtual meter.

Wiggle a string by hand or drive it with an oscillator, and see how wave speed, frequency, and damping interact.

Send a skater along a track and watch kinetic, potential, thermal, and total energy in real time.

Build an atom out of protons, neutrons, and electrons, and see how that changes its element, mass, and charge.

Test the pH of everyday liquids and see how concentration changes acidity and basicity on the pH scale.

Heat and cool a substance and watch its particles rearrange between solid, liquid, and gas.

Balance chemical equations by adjusting coefficients, with a bar-chart check of atoms on each side.

Add a trait like fur colour to a population of bunnies, introduce a selection pressure, and watch the population evolve over generations.

Watch transcription and translation happen inside a cell, from DNA to mRNA to a finished protein.