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Interactive
CK-12 Foundation

Polynomials in Standard Form

For Students 8th - 10th Standards
Set the standard for working with polynomials. Pupils arrange two polynomial expressions in standard form. The scholars respond to questions about the terms, coefficients, and degrees of the polynomials. They then discuss how they can...
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Interactive
CK-12 Foundation

Multiplying Polynomials: Binomial Cork Board

For Students 9th - 11th Standards
Cover the cork board with pictures of the house. The interactive provides pictures of a house to duplicate and cover a given area. The pictures' dimensions are expressed as binomials. Pupils determine the area of the cork board based...
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Interactive
CK-12 Foundation

Factorization of Quadratic Expressions: Algebra Tiles

For Students 8th - 10th Standards
What does it mean to factor the difference of two squares? The interactive presents an area model of the difference of two squares. Pupils rearrange the model to create a rectangular area. The learners determine the length and width...
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Interactive
CK-12 Foundation

Free Body Simulation

For Students 9th - 12th Standards
To show the magnitude and direction of all forces acting upon an object, scientists use a free body diagram. This simulation serves as an introduction to free body diagrams allowing scholars to build their own. Pupils select the proper...
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Interactive
CK-12 Foundation

First Law Simulation

For Students 6th - 12th Standards
Does Newton's First Law of Motion explain how to move a sled across ice? A simulation encourages scholars to decide if they should push, pull, or apply no force. Their decision moves a sled across the ice and to the home at the...
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Interactive
CK-12 Foundation

Friction Simulation

For Students 6th - 12th Standards
How much pulling force does it take to overcome static friction? The simulation applies the formula for the force of static friction to multiple trials. Scholars alter the pulling force applied until the box moves. They then determine...
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Interactive
CK-12 Foundation

Preschool Races

For Students 6th - 12th Standards
What determines which ball rolls the fastest — the weight, the radius, the material, or something else? Scholars select two balls to race down the inclined plane, determining their material and radius. As they race, the simulation graphs...
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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
CK-12 Foundation

Marie Curie's Classroom

For Students 9th - 12th Standards
What makes some elements stable and others radioactive? Scholars adjust the number of protons and neutrons in an element then observe its decay. The simulation includes a graphical representation and the chemical formula, as well as...
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Interactive
CK-12 Foundation

Black Hole

For Students 9th - 12th Standards
What happens to radio waves, time, and light in and near a black hole? Young scientists explore what is known about observing frequency and time at various distances from a black hole. They control the size of the black hole and the...
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Interactive
CK-12 Foundation

Atomic Colors

For Students 9th - 12th Standards
Stars are too hot to visit, so how do we know what different stars are made of? An enlightening simulation uses a spectrum graph to show the various electron emission and absorption reactions. Scholars experiment with both helium and...
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Interactive
CK-12 Foundation

Particle Tracks

For Students 9th - 12th Standards
Did you know physicists can identify new particles by observing the path they take in a particle accelerator? Scholars explore the variables that determine the direction and radius of the circular path different particles take. They...
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Interactive
CK-12 Foundation

Electric Motor

For Students 9th - 12th Standards
How does a direct current run a motor? Pupils control five variables in an electric motor and observe how the force diagram changes. The force, magnetic field, and current vary based on the changes in the design of the magnet and motor....
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Interactive
CK-12 Foundation

AC Transformer

For Students 9th - 12th Standards
High voltage power lines deliver electricity to homes, but each home requires low voltage. How does the energy get converted so it can be used safely? Pupils explore alternating current and transformers through a simulation. They control...
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Interactive
CK-12 Foundation

Car Collision

For Students 9th - 12th Standards
When a car crashes into a wall, does it just stop or does it bounce or roll backwards? A simulation relates velocity, kinetic energy, momentum, and restitution to answer this question. Scholars apply their knowledge through eight levels...
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Interactive
CK-12 Foundation

Angular Speed Simulation

For Students 9th - 12th Standards
Can you time the speed of your car perfectly so you only hit green lights? The challenge in the simulation is to alter the timing of the lights or the speed of the car in order to do just that. Scholars learn about angular speed as they...
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Interactive
CK-12 Foundation

Multiplication of Monomials by Polynomials: Distributing the Monomial

For Students 8th - 10th Standards
An interactive shows graphically the distribution of a monomial across all the terms in a polynomial multiplication problem. Pupils relate the specific example to a more general problem then make conclusions to develop a pattern for the...
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Interactive
CK-12 Foundation

Multiplying Polynomials

For Students 9th - 11th Standards
Help your class find patterns in polynomial multiplication. Pupils multiply a trinomial by a binomial using a graphic organizer. They respond to questions about patterns observed in polynomial multiplication before a discussion question...
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Interactive
CK-12 Foundation

Factorization of Quadratic Expressions: Boxes for Factoring

For Students 9th - 11th Standards
Create rectangles from the terms of a trinomial. The interactive provides virtual algebra tiles for participants to use to create quadratic trinomials. Pupils use the tiles and arrange them into a rectangle to find the factors of the...
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Interactive
CK-12 Foundation

Ambiguous Case: Furniture Store Problems

For Students 10th - 12th
Remove any ambiguity about using a helpful resource. Individuals use an interactive to find the number of triangles that fit given conditions. They find that some conditions can result in more than one triangle in the ambiguous case.
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Interactive
CK-12 Foundation

Determination of Unknown Triangle Measures Given Area: Jib Sheets

For Students 10th - 12th Standards
Solving triangles is a breeze. Young boat enthusiasts solve problems involving triangles in the context of sails on a boat. They must apply different strategies, including the Law of Cosines and area formulas.
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Interactive
CK-12 Foundation

Electric Analogies

For Students 9th - 12th Standards
We can see the result of electricity  but not the process itself. The simulation compares electric circuits to a water tower and water wheel cycle. Young scientists adjust the height of the tower, the amount of resistance, and if the...
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Interactive
CK-12 Foundation

Dungeon Simulation

For Students 9th - 12th Standards
Tommy is stuck in a dungeon and can only escape if you can discover the correct formula for velocity! Through trial and error, scholars enter the velocity required for Tommy to reach the elevator at the proper time. Then they extrapolate...
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Interactive
CK-12 Foundation

Relative Velocity Simulation

For Students 6th - 12th Standards
If your pupils think relative velocity is the velocity at which you can run away from your relatives, they need this simulation. Two bikers want to meet at a specific time. Scholars alter the velocity of one rider to arrange the...