Arithmetics and Algebra
Integer Panel Playground
A visual tool for teaching integer arithmetic, addition, and subtraction using an interactive panel.
Integers=Fractions
Integers=Fractions is an interactive playground that visually demonstrates how the rules of fraction arithmetic directly mirror the rules of integers.
Multiplication Web
A game to build an understanding of multiplication by unlocking facts using strategies like the distributive property.
Fractals and Chaos
Cantor Set Explorer
Generate stages of the Cantor set, explore its properties with zoom and pan, and calculate its box-counting dimension.
Crumpled Paper Dimension
An interactive lab to analyze the fractal dimension of a crumpled ball by plotting its mass vs. radius on a log-log scale.
Koch Snowflake Explorer
Construct the classic Koch snowflake, explore its infinite perimeter, and analyze its fractal dimension using a box-counting lab.
Logistic Map Bifurcation Diagram
Visualize the complete bifurcation diagram of the logistic map, revealing the stunning fractal patterns on the road to chaos.
Logistic Map Sequence Explorer
An introduction to the logistic map. Explore how a single sequence behaves for different values of the growth rate r.
Sierpiński Triangle Explorer
Construct the Sierpiński triangle recursively. Includes interactive zoom/pan and a lab for calculating the box-counting dimension.
Linear Algebra
Logic and Proof
Numerical Integration
Numerical Methods
Decimal Search Root-Finder
An interactive lab for finding the roots of equations using the Bisection Method, also known as interval or decimal searching.
Fixed-Point Iteration Visualizer
Visualize how the fixed-point iteration method finds roots, and see why some functions converge while others diverge.
Linear Interpolation Root-Finder
Finds roots of equations using the Method of False Position. Visualize how it uses a secant line to make intelligent guesses.
Root-Finding Method Comparison
A dashboard to visually compare the performance of five different root-finding algorithms on the same function.
Secant & Newton-Raphson Methods
Visually compare two advanced root-finding algorithms. Explore their speed and convergence on user-defined functions.
Taylor Series Visualizer
Explore how functions are approximated by polynomials. Visually compare a function to its Taylor series and analyze the error.
Pre-Calculus
Absolute Value Explorer
Explore absolute values from two perspectives: as a function on a 2D graph, and as distance on a number line.
Circle Theorems
The interactive canvas for building, solving, and mastering circle geometry with AI.
Exponentials
An interactive explorer for exponential functions. Visualize how the base and other parameters affect the graph's growth and shape.
Function Analyzer
A visual tool for pre-calculus. Draw your own graph and then analyze its domain, range, points of interest, concavity, and more.
Function Explorer: Linear vs. Quadratic
Explore the distinct behaviors of linear and quadratic functions. See how their equations, graphs, and rates of change differ.
Inverse Function Explorer
A tool to visualize functions and their inverses, illustrating the concept of reflection across the y = x line. Test for one-to-one criteria.
Polynomial Explorer
Explore the relationship between a polynomial's roots and its factored form. Adjust roots on the graph and see the equation update instantly.
Quadratic Behaviour
An interactive tool to explore quadratic functions. See how changing coefficients affects the graph's shape, vertex, and roots.
Trigonometric Circle
An interactive unit circle to visualize trigonometric functions (sine, cosine, tangent) and their relationships.
Solution of Ordinary Differential Equations
ODE Solver & Error Comparison
Compare the long-term accuracy and error accumulation of various methods for solving ordinary differential equations.
ODE Step Visualizer
Visually explore the geometry of a single step for the Euler, Modified Euler, and Runge-Kutta (RK4) methods.
Taylor Method for ODEs
Explore how using higher-order derivatives in a Taylor series creates highly accurate solutions for differential equations.