Machines can be so helpful sometimes. A simple interactive has learners enter input values for a function machine and observe output values. These values help determine a function that represents the input-output relationship in the...

Solve your equation and prove it, too. Young mathematicians solve linear equations using an interactive. They must input a property to justify each step of their solutions.

Graphing conics made easy. Individuals use an interactive to graph conic sections. The app can handle circles, vertical and horizontal parabolas, ellipses, and vertical and horizontal hyperbolas.

Scholars see cross sections come to life using an app to investigate cross sections of three-dimensional solids. They look at prisms, pyramids, cylinders, cones, and double cones.

Polar opposites might not work together—but polar coordinates do! The interactive provides learners the opportunity to graph trigonometric and algebraic functions using polar coordinates. The program takes either individual data points...

Convert a table to probabilities. Pupils set up the winning rules for the sums of two dice. Using the rules, the applet fills out a table showing the winners for each combination. Learners determine the probabilities of winning for each...

How does life evolve? The interactive provides a simulation based on the Game of Life invented by mathematician John Conway. Users can run the applet with the preset rules and settings or adjust them to view whether overpopulation or...

Use a function to operate on two variables. Pupils look at operating with complex numbers as a function of two variables. The interactive squares the input and adds a constant to it. Learners visualize the resulting output and its...

What's behind door number one? A fun resource lets learners simulate the classic Monty Hall probability problem. Pupils choose a door, and after they select a losing door, they decide whether to switch or stay. Using their decisions, the...

Find the needle on a lined paper. Pupils run a simulation of dropping a needle on a lined paper. The probability of the needle crossing at least one line is pi/2. After each trial, the interactive displays the approximation of pi based...

Are your young mathematicians having a hard time making heads or tails of probabilities? It's no toss up—here is a resource that's sure to straighten them out! Learners run the interactive to toss a coin a different number of times....

Adjust the overlap to compare probabilities. Using sliders, learners adjust the shape of two Gaussian curves. The interactive calculates the area of the left tail for one curve and the right tail for the other. Pupils set the interactive...

A change in a parameter can end in overpopulation. The resources gives pupils the opportunity to control the parameters of rabbits and wolves in a natural setting. Using the set parameters, the simulation runs and displays the population...

Find the box with two green balls. The applet uses six balls, three green and three red, and hides them in three boxes. Pupils choose a box and click on it to reveal the color of balls inside. Using the chosen box, the simulation keeps...

Teach budding mathematicians how to square a triangle with an interactive that shows a graphical proof of the Pythagorean Theorem. Pupils alter the lengths of the legs using sliders. Using the inputted lengths, the applet displays the...

Make sure the measurement is right. The interactive provides right triangles with a missing side measurement. Pupils use the given sides and the Pythagorean Theorem to calculate the length of the missing side. After entering the length,...