Algebraic Identities by Area
Build squares and rectangles to see why (a+b)², (a-b)², and a²-b² work.
Solve positive linear equations on honest balance scales: equal actions on both sides, equal-group sharing, and substitution check.
This simulation uses a physically accurate engine to calculate real-time interactions based on established scientific principles. It allows you to visualize phenomena that are typically invisible or happen too fast or too slow to observe in a traditional classroom setting.
This interactive STEM simulation lets you study the process visually by adjusting parameters and observing results in real time. Launch the model and experiment with settings to see how different variables affect the outcome.
The simulation content is available immediately once launched: the interactive model loads in your browser and requires no additional software.
This knowledge applies across science, engineering, and everyday life — from understanding natural phenomena to using modern technology.
This simulation is designed for middle and high school students, teachers, and anyone interested in STEM education.
Yes, this interactive simulation is available for free educational use.
Absolutely! Our simulations are fully optimized for both desktop and mobile browsers.
Build squares and rectangles to see why (a+b)², (a-b)², and a²-b² work.
Learn to measure the world in degrees! Estimate angles by eye, use a virtual protractor, and construct specific angles with high precision.
An amazing way to calculate π! Throw virtual needles onto a lined floor and see how the probability of crossing the lines is related to the famous number.
Play with space! Draw geometric shapes in the Cartesian coordinate system, translate them along axes, rotate, and reflect them across the center or lines.
Feel like a WWII cryptanalyst. Study the inner workings of the Enigma cipher machine and try to crack the code using cribs (known fragments of text).
Explore 3D geometry. Rotate a sphere inscribed in a cylinder, study their planar cross-sections, and visually prove that their volumes have a 2:3 ratio.
Recreate Newton's historical discovery! Calculate the number π by approximating the area of a quarter circle using binomial expansion and series.
Add fractions visually! Divide a pizza or chocolate bar into equal parts and find their exact position on the number line.