Interactive
CK-12 Foundation

Multiplication of Polynomials by Binomials: Rainbows

For Students 8th - 10th Standards
Is it possible to use the distributive property with several terms? Learners multiply a polynomial by a binomial using the same method as with a monomial. The scholars distribute each term of the binomial to each term in the polynomial...
Interactive
CK-12 Foundation

Determining the Equation of a Line: Trip Functions

For Students 8th - 10th Standards
Let the function drive the activity. The interactive displays the odometer on a car for a trip. Pupils determine and interpret the slope of the situation. Then, they find a verbal description of the equation of the function.
Interactive
CK-12 Foundation

Families of Lines: Room in Perspective

For Students 8th - 10th Standards
Get a perspective of lines that share a point. The interactive displays a family of lines that share the same y-intercept. Individuals can find the equations of the lines by moving the line displayed and find what is common...
Interactive
CK-12 Foundation

Determining the Equation of a Line: Temperature Conversion Challenge

For Students 8th - 10th Standards
Line up the temperature conversions. Pupils create the linear function between Celsius and Fahrenheit on a graph by plotting the freezing and boiling points of water. The scholars determine how the relationship changes based upon...
Interactive
CK-12 Foundation

Trigonometric Form of Complex Numbers

For Students 11th - Higher Ed Standards
Represent complex numbers in two ways. Pupils use the interactive to convert polar and rectangular representations of complex numbers. The learners drag an overlay back and forth over the coordinate plane to reveal the polar coordinates...
Interactive
CK-12 Foundation

DeMoivre's Theorem and nth Roots: The nth Roots of Unity

For Students 11th - Higher Ed
The nth roots of unity all have a magnitude of one. Scholars use the unit circle and DeMoivre's Theorem to find the complex roots of one and discover that the complex numbers all lie on the unit circle and are equally spaced around it...
Interactive
CK-12 Foundation

Plots of Polar Coordinates: Submarine Sonar

For Students 11th - Higher Ed Standards
Find the location of enemy submarines with a sonar display that doubles as a polar coordinate system. Pupils find polar coordinates that would be the same location of plotted submarines. They then determine multiple polar...
Interactive
CK-12 Foundation

Sums and Differences of Independent Random Variables: Traveling Seasickness

For Students 9th - 12th Standards
Use a Punnett square to calculate probabilities. The resource presents a situation in which two patients are randomly selected from a group of patients with a particular illness. Pupils use the interactive to determine the likelihood...
Interactive
CK-12 Foundation

Development of Hypotheses: Pressure versus Temperature

For Students 6th - 8th
Is it me, or is it getting hot in here? Middle school science sleuths investigate the relationship between temperature and pressure, then use their observations to form a hypothesis. Questions embedded in the interactive help guide...
Interactive
CK-12 Foundation

Development of Theories

For Students 6th - 8th
Theory or Law? You decide. And so will your class members, in an insightful interactive. Young scientists divide common scientific principles or statements between the two groups, then dig deeper in understanding the functions of...
Interactive
CK-12 Foundation

Rocks and Processes of the Rock Cycle: One Rocks Turns to Another...

For Students 6th - 9th
Geology scholars test their rock identification skills in an interactive that examines the rock cycle from the three main nodes of rocks. Other topics include visual clues to rock identity and the conditions needed to make rocks change...
Interactive
CK-12 Foundation

Definition of Probability: It's in the Bag!

For Students 6th - 8th Standards
It's not in the bag. An interactive provides the probability of picking a certain color marble from a bag after several marbles have been removed. Young mathematicians learn about dependent events from this resource.
Interactive
CK-12 Foundation

Measurement of Probability

For Students 6th - 8th Standards
Stockings make your legs warmer and math more enjoyable. A drag-and-drop interactive has pupils take stockings out of drawers to calculate probabilities. This includes dependent events where the probabilities depend on previous stocking...
Interactive
CK-12 Foundation

Measurement of Probability: Basketball Throw

For Students 6th - 9th Standards
Future mathematicians use an interactive to see how changing the size of a basketball court and the size of a region in the court affects the probability that a ball will randomly fall within the specified region. No calculations are...
Interactive
CK-12 Foundation

Forms of Linear Equations: Equation Exploration

For Students 8th - 9th Standards
Different forms, same line. Young mathematicians investigate the standard form, slope-intercept form, and point-slope form of a linear equation. An interactive has them adjust lines on a coordinate plane to see changes in each form of...
Interactive
CK-12 Foundation

Angle Classification: Angles in the Game of Pool

For Students 6th - 10th Standards
Make a game of angle classification. Using the direction of the pool ball, scholars determine the measure of the created angles. They work to create and classify different types of angles throughout an engaging interactive.
Interactive
CK-12 Foundation

Bisectors of Line Segments and Angles: Cut an Angle

For Students 6th - 10th
Explore constructions through an interactive online lesson. Given an example of an angle bisector construction, learners investigate the markings to determine the method used. Challenge questions help solidify the steps. 
Interactive
CK-12 Foundation

Linear and Non-Linear Function Distinction: Domain and Range of a Function

For Students 8th Standards
Functions are special types of relations, but what makes them so special? Pupils use an interactive to slide a vertical line across six different graphs. Ten challenge questions then assess understanding of functions.
Interactive
CK-12 Foundation

Absolute Value Inequalities: The Nuts and Bolts of Allowable Error

For Students 8th
Explore the nuts and bolts of absolute value inequalities using nuts and bolts. Pupils use an interactive to see how the minimum and maximum radii of a nut-and-bolt combination change based on the target radius and the allowable error....
Interactive
CK-12 Foundation

Rational Numbers in Applications: Batch of Brownies as Rational Numbers

For Students 6th - 8th Standards
Sharing is caring—especially with brownies! Young mathematicians use an interactive to split a batch of brownies between several friends given constraints. They answer some challenge questions to check that each friend has the correct...
Interactive
CK-12 Foundation

The Real Numbers: Size of Infinite Sets

For Students 8th - 10th
The learning opportunities with the resource on infinity are finite, but it's still good to use. Individuals investigate the size of the set of integers and the set of even integers. Conclusion: the two sets have the same size.
Interactive
CK-12 Foundation

Properties of a Normal Distribution: Uniform Distributions

For Students 9th - 12th Standards
There's nothing normal about an extraordinary resource. Scholars change the dimensions of a normal distribution using a slider interactive. Determining the area under the graph gives probabilities for different situations.
Interactive
CK-12 Foundation

Infinite Limit Type: Properties of Limits

For Students 11th - Higher Ed Standards
Limits can provide some valuable information about graphs. A slider interactive lets learners see the behavior of a graph around asymptotes. They investigate relationships between limits and asymptotes.
Interactive
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CK-12 Foundation

Mode: Boxes of Oranges

For Students 6th - 8th Standards
See how your data stacks up. Pupils stack crates of oranges in increasing order, creating a simple bar graph. Using the graph, individuals determine measures of center and describe the shape of the distribution. Scholars determine what...