Interactive
CK-12 Foundation

Crash

For Students 6th - 12th
Explore the chemistry behind the airbags that keep you safe in a collision. Using a simulation, your classes find the best gas to use to inflate an airbag. The simulation shows the time it takes to inflate to a maximum volume....
Interactive
CK-12 Foundation

Hotpack - Coldpack

For Students 6th - 12th
Chemistry can help athletes and others protect and treat injuries. Use the interactive activity to explore the chemical reactions in instant hot and coldpacks. Learners manipulate the type of salt in the pack and watch the reaction take...
Interactive
CK-12 Foundation

Expand and Contract

For Students 7th - 12th
Gaps are essential to engineering bridges and roads. Learners watch a video showing a typical construction of a bridge to see why they're so important. They then manipulate an interactive to model the effects of temperature change on the...
Interactive
CK-12 Foundation

Don't Slip

For Students 6th - 12th
Salt is the go-to material when people need to melt ice—learn the chemistry behind its effectiveness with an interactive lesson. Pupils watch a short narrative and then explore the concept through a simulation. Young scientists...
Interactive
CK-12 Foundation

Graphs of Quadratic Functions in Intercept Form: Architectural Bridge Challenge

For Students 9th - 12th Standards
There are architectural parabolas all around us! A creative lesson analyzes the architecture of a parabolic bridge. Learners must manipulate the bridge to satisfy given criteria and then answer questions about the dimensions of the...
Interactive
CK-12 Foundation

Identification of Quadratic Models: UFO Launch

For Students 10th - 12th Standards
Build conceptual understanding of graphs of quadratic functions with an out-of-this-world resource. An interactive lesson allows learners to manipulate a graph that models the launch of a UFO. The lesson focuses on the key features of...
Interactive
CK-12 Foundation

Logarithms: Logarithm Triangle

For Students 10th - 12th Standards
Study logarithmic properties using a triangle. A clever manipulative shows how a triangle can represent the three parts of a logarithmic or exponential equation. Pupils review the concept and then answer guiding questions to further...
Interactive
CK-12 Foundation

Exponential Terms Raised to an Exponent: Exponential Sliders

For Students 9th - 12th Standards
Discover the pattern of exponents through an interactive lesson. Young mathematicians manipulate sliders and watch the result as they change the base or exponents in an expression. The tutorial shows them the simplified expression and...
Interactive
CK-12 Foundation

Doppler Ducks

For Students 9th - 12th
The study of waves is not a quacking matter! Watch as a duck manipulates the behavior of its waves through its motion. Graphs show the frequency and wavelength of the waves. 
Interactive
CK-12 Foundation

Trigonometric Functions and Angles of Rotation: The Triangle in the Circle

For Students 10th - 12th Standards
Go around the unit circle and create triangles. Pupils move a point around the unit circles to visualize the triangle associated with the angle in standard position. The three main trigonometric functions are defined in terms of the legs...
Interactive
CK-12 Foundation

Whole Number Division: Pancakes

For Students 6th Standards
Given 13 pancakes and five plates, learners are asked to distribute the pancakes evenly among the plates. Is it possible? Will there be any remainders? These are the questions pupils are asked to answer after manipulating an...
Interactive
CK-12 Foundation

Sine Graph and Cosine Graph: Changing Amplitude

For Students 10th - 12th Standards
Scholars manipulate the amplitude of the graphs of sine and cosine, notice how the change in amplitude is reflected in their graphs, and answer several questions about the concept they noticed.
Interactive
CK-12 Foundation

Whole Number Subtraction: Penguins Go for a Swim

For Students 6th
As penguins jump off of an iceberg, young mathematicians count the remaining penguins in order to discover the whole number subtraction answer. As they work through the questions, they can manipulate the red dot to add and subtract more...
Interactive
CK-12 Foundation

At the Crossroads

For Students 9th - 12th Standards
Young scientists investigate methods of comparing standard and metric units with a technology-enhanced lesson that builds a connection between conversion ratios and the corresponding units. The simulation allows learners to...
Interactive
CK-12 Foundation

Bobsled

For Students 9th - 12th
Bobsled riders' safety depends on skill ... and physics! Learners use a simulation to understand the physics behind the sport. They manipulate the speed, mass, and/or turn radius of the sled and watch the effects on the centripetal...
Interactive
CK-12 Foundation

Oblique Asymptotes: Rational Functions and Asymptotes

For Students 9th - 12th Standards
Examine the connection between rational functions and their graphs. Individuals use an online manipulative to sort equations with horizontal and oblique asymptotes. They focus on the degree of the numerator and denominator.
Interactive
CK-12 Foundation

Horizontal and Vertical Asymptotes: Rational Functions

For Students 9th - 12th Standards
Play with the graph of a rational function to discover the asymptote patterns. Young scholars use the interactive lesson to discover the relationship between the asymptotes and the function. As they manipulate the function, the graph...
Interactive
CK-12 Foundation

Zero, Negative, and Fractional Exponents: Patterns with Powers

For Students 8th - 10th Standards
Build a foundational understanding of exponent patterns. Young scholars manipulate the bases of exponent expressions. They discover the meaning of negative exponents through their exploration.
Interactive
CK-12 Foundation

Addition and Subtraction of Rational Expressions: Strawberry Sherbet Punch

For Students 9th - 12th Standards
Explore the connection between fractions and rational expressions. Young scholars manipulate fractions with unlike denominators to find a total. Challenge questions allow them to check their work to ensure they are correct.
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...
Interactive
CK-12 Foundation

Negative Exponents

For Students 8th - 10th Standards
Watch the exponent expression do the negative exponent dance! An interactive lesson uses an animation to show how negative exponents become positive. Learners manipulate the expression and then respond to conceptual questions.
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...
Interactive
CK-12 Foundation

Factor Polynomials Using Special Products: Difference of Two Squares

For Students 9th - 11th Standards
Factoring patterns are not magic! Show your classes how to model the difference of two squares' factors using an area model. Learners manipulate the width and length of two squares to represent the polynomial a^2-b^2. They use the model...
Interactive
CK-12 Foundation

Six Trigonometric Functions and Radians: Degrees to Radians and Back Again!

For Students 10th - 12th Standards
How do degrees relate to radians? The interactive allows pupils to manipulate the size of an angle in a unit circle to help see that relationship. Users determine the radian measure for given degree measures of angles, realizing the...

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