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Interactive
CK-12 Foundation

Position and Displacement Simulation

For Students 9th - 12th Standards
How can we use vectors to determine a person's position when traveling? The simulation offers guided practice at determining the coordinates and the distance between coordinates on a map grid. It reinforces the importance of positive...
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Interactive
Shodor Education Foundation

Spread of Disease

For Students 9th - 12th Standards
Control the spread of a contagious disease. An applet allows pupils to run a simulation on the spread of a disease. Rules govern how the disease is spread and the length of time it takes to recover. Learners view the spread visually and...
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Interactive
CK-12 Foundation

Geometric Sequences and Exponential Functions: Bouncing Ball

For Students 9th - 12th Standards
Explore a geometric sequence model through a simulation. Learners change the starting drop height of a ball and watch how the heights of following bounces change. They consider the ratio of the consecutive bounces as they analyze the...
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Interactive
Shodor Education Foundation

Simple Monty Hall

For Students 6th - 12th Standards
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...
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Interactive
Shodor Education Foundation

Buffon's Needle

For Students 7th - 12th Standards
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...
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Interactive
Shodor Education Foundation

Rabbits and Wolves

For Students 9th - 12th Standards
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...
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Interactive
CK-12 Foundation

Using Quadratic Equations to Solve Problems: Construct a Soccer Field

For Students 8th - 10th Standards
Build a soccer field through a little mathematical analysis. Individuals manipulate the dimensions of a soccer field as they drag points to new positions. The simulation shows the corresponding intercepts and area. As pupils explore the...
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Interactive
CK-12 Foundation

Rational Numbers in Applications: Pizza with Friends

For Students 6th - 7th Standards
Explore the application of fractions in a real-life situation. Learners manipulate an interactive simulation to model a given scenario. They find fractions of fractions and explain the importance of the part-to-whole comparison.
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Interactive
CK-12 Foundation

Simplify Variable Expressions Involving Integer Addition

For Students 7th - 9th Standards
Ensure your classes aren't drowning in expressions. An interactive simulation has scholars change the depth of a fish based on the coefficient of terms. As they add the terms together, the fish bobs up and down until reaching the answer.
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Interactive
CK-12 Foundation

Linear, Exponential, and Quadratic Models: Bernoulli Effect

For Students 10th - 12th Standards
How can an object as heavy as an airplane fly? Turns out the answer is quadratic! Your classes explore the Bernoulli Effect through an interactive graph representation. As a plane increases in speed, the lift force also increases. Young...
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Interactive
CK-12 Foundation

Exponential Decay: Cool Sunglasses

For Students 10th - 12th Standards
Who wouldn't want to wear four pairs of sunglasses? Each pair of sunglasses reduces the percent of incoming light by one-half. An interactive tutorial helps young mathematicians build a graph that models this scenario. They then explore...
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Interactive
PHET

My Solar System

For Students 6th - 12th Standards
Orbit diagrams appear to be a work of mathematical art. The simulation helps scholars build their own systems of planets, stars, moons, etc., to observe their orbits. By altering their positions, velocities, and masses, a variety of...
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Interactive
Shodor Education Foundation

Life

For Students 9th - 12th Standards
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...
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Interactive
Shodor Education Foundation

Crazy Choices Game

For Students 7th - 12th Standards
Wanna take a chance on which game is best? The resource provides three games of chance using multiple types of games. Games range from coin toss to cards. Choosing a type of game, pupils determine what wins and enter the theoretical...
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Interactive
Shodor Education Foundation

Marbles

For Students 7th - 12th Standards
Grab some marbles from a bag. The applet simulates drawing marbles from a bag. Pupils determine the number of four colors of marbles in a bag and how many marbles to draw. Using information on whether order matters in the draw and if...
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Interactive
Shodor Education Foundation

Overlapping Gaussians

For Students 9th - 12th Standards
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...
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Interactive
Shodor Education Foundation

Two Colors Applet

For Students 7th - 12th Standards
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...
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Interactive
CK-12 Foundation

Relationships of Sides in 30-60-90 Right Triangles: Truck on a Mountain Road

For Students 9th - 12th Standards
Determine the change in elevation on a mountain road. Individuals use the interactive to simulate a truck driving up a mountain road with a 30-degree incline. They determine missing sides of a 30-60 right triangle to find horizontal and...
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Interactive
CK-12 Foundation

Using Quadratic Equations to Solve Problems: Pizza Slice!

For Students 9th - 12th Standards
Get the most out of a pizza. Class members use an interactive to simulate cutting a pizza to determine the maximum number of slices possible. The pupils create a set of data points and determine the equation that models the relationship.
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Interactive
CK-12 Foundation

Zero Product Principle: Mysterious Parabolas

For Students 8th - 10th Standards
Be a hero, not a zero! Help your classes understand how to solve quadratic equations with the zero product property using an animated simulation. Using the controls, scholars manipulate the zeros and watch as the function and its factors...
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Interactive
CK-12 Foundation

Angular Velocity: 200 Meter Dash

For Students 10th - 12th
Do curves slow runners down or help their speed? Pupils simulate a 200-meter dash to calculate the angular and linear velocity of a runner. They then determine whether the runner is faster around the curved section of the track or the...
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Interactive
CK-12 Foundation

Discrete Random Variables: Roll the Dice!

For Students 9th - 12th Standards
And the winner is ... not always who it appears to be. An interactive gives the directions for a dice game that on the surface gives one player an advantage over the other. Pupils look closer at the possible outcomes and find the...
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Interactive
CK-12 Foundation

Slope: Hiking in the Woods

For Students 7th - 9th
Learning about slopes from a hike in the woods is a walk in the park. Scholars slide a cutout of a person to simulate a hike along several paths. Passing through indicated points reveals the type of slope (positive, negative, zero, or...
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Interactive
CK-12 Foundation

Distance Between Two Points: Segment Addition

For Students 9th - 12th Standards
Examine the segment addition postulate through an online simulation activity. An interactive lesson allows scholars to manipulate points and watch as the lengths of segments change. Through their study, they are able to apply the Segment...

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