Interactive
CK-12 Foundation

Conditional Probability: Game Show with Monty

For Students 9th - 12th Standards
The car is behind door one — no wait, it is behind door three. An interactive allows learners to visualize the Monty Hall problem. Pupils work through the probabilities of choosing the car with their first pick. Next, they determine...
Interactive
CK-12 Foundation

Dependent Events: Cheryl's Birthday

For Students 9th - 12th Standards
Use dependency to find a birthday. Learners use an interactive to keep track of excluded potential dates of a birthday using information provided to two people about a third's birthday. Scholars then use the dependency between the dates...
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...
Interactive
CK-12 Foundation

Binomial Distributions and Probability: Roll One!

For Students 9th - 12th
It takes exactly one to win. Pupils calculate the probability of rolling five dice and having only a single die come up with a one. Learners calculate the number of expected wins out of a series of games. The interactive provides...
Interactive
CK-12 Foundation

Normal Approximation of the Binomials Distribution: When to Approximate

For Students 9th - 12th
Normalizing a binomial distribution — determine when it is all right. Given the rule of thumb of when it is appropriate to use the normal distribution to approximate a binomial distribution, pupils look at different scenarios....
Interactive
CK-12 Foundation

Expected Value: Creating a Discrete Probability Distribution Table

For Students 11th - 12th Standards
Wanna roll the dice? Determine whether it is a good idea to play a dice game. An interactive presents the rules for a game of dice. Pupils find the probabilities of each event and calculate the expected value of the game. They finish...
Interactive
CK-12 Foundation

Expected Value: Win a Dollar

For Students 11th - 12th Standards
Spin a wheel, land on a color ... and win. Learners create a graph to display the probabilities of the amount of money they can win by spinning a colored wheel. The pupils use the dollar amounts and their probabilities to calculate the...
Interactive
CK-12 Foundation

Expected Value: Playing Darts

For Students 11th - 12th Standards
The expected payoff is right on target. An interactive resource provides a dart game scenario with amounts of cash prizes and probabilities of winning. Learners calculate the expected value and expected payoff for the game. To...
Interactive
CK-12 Foundation

Numerical Computations: Counting Out Probability

For Students 6th - 8th Standards
Keep your heads up while counting. Pupils use an interactive to create a table with the possible outcomes of flipping three coins and then determine the probabilities of getting certain combinations of heads and tails.
Interactive
CK-12 Foundation

Computing Probabilities for the Standard Normal Distribution: The FDA and Food Safety

For Students 9th - 12th Standards
To recall or not to recall, that is the question. Using provided data, pupils calculate the percent of people that may fall ill on average. The scholars determine the standard deviation based upon the mean and the empirical rule,...
Interactive
CK-12 Foundation

Coterminal Angles: Full Circle

For Students 9th - 12th Standards
Take a terminal side for a spin. Pupils use an interactive to investigate angles of rotation that share the same terminal side. Scholars create coterminal angles and calculate what other angle sizes share the same final position.
Interactive
CK-12 Foundation

Intercepts and the Cover-Up Method: The Hidden Zeros

For Students 7th - 10th Standards
There's no need to cover up this resource — it's good one! Pupils use a slider interactive that covers up parts of the standard form of a linear equation and simultaneously reveals one of the intercepts of the graph. This lets them see...
Interactive
CK-12 Foundation

Slope-Intercept Form: Mountain Train

For Students 7th - 9th
Hop aboard to learn about the slope-intercept form. Young mathematicians use an interactive to adjust the path a train takes up a mountain. A set of challenge questions helps them see the connection between key features and the...
Interactive
CK-12 Foundation

Graphs of Linear Model of Direct Variation: On the Moon

For Students 8th - 12th Standards
You'll be over the moon about this resource. Scholars draw a line representing the weight of an object on the moon based on its mass. Consideration of the constant of proportionality allows them to see relationships between weight of an...
Interactive
CK-12 Foundation

Sets: Bikes or Boards?

For Students 6th - 8th
Do people ride, slide, or do both? Pupils use an interactive Venn diagram for the numbers of people owning bicycles, owning skateboards, or both. An interactive provides questions for them to answer using the diagram.
Interactive
CK-12 Foundation

Theoretical and Experimental Probability: Pizza Night!

For Students 6th - 8th
Take a bite out of an enticing resource. Scholars use an interactive to study dependent events. They see how the number of favorable outcomes and total number of outcomes changes as individuals "eat" pieces of pizza.
Interactive
CK-12 Foundation

Sample Spaces and Events: Triple Spin!

For Students 6th - 10th Standards
Scholars determine the number of possible outcomes when a spinner is spun three times. They start with the case of one spin and build up to the case of three spins.
Interactive
CK-12 Foundation

Basic Counting Rules: Sandwich Shop

For Students 6th - 8th
Young mathematicians make a tree diagram of all possibilities for sandwiches using an interactive. They learn how multiplication speeds up the process of finding the number of outcomes.
Interactive
CK-12 Foundation

Fundamental Counting Principle with and without Repetition: Outfit Combinations

For Students 6th - 8th Standards
But I have nothing to wear! Using an interactive, individuals create all possible outfits from three shirts, one belt, and two pairs of pants. Answering a set of challenge questions helps them see what they have learned from the...
Interactive
CK-12 Foundation

Standard Form of Linear Equations: Seesaw

For Students 8th - 10th Standards
Don't hem and haw, learn about equations using a seesaw. An easy-to-use interactive has pupils move a seesaw on a coordinate plane to investigate the standard form of a linear equation. By completing a set of challenge questions, they...
Interactive
CK-12 Foundation

Equations of Perpendicular Lines

For Students 9th - 11th Standards
Investigate how the equation y = -1/x relates to perpendicular lines. Pupils align an arrow using an interactive so it is perpendicular to a bow string. A set of challenge questions helps learners discover slopes of perpendicular...
Interactive
CK-12 Foundation

Equations of Parallel Lines: Exploring Equations

For Students 9th - 11th Standards
Same slope, different point — what's the same and what's different about an equation? Young mathematicians use an interactive to position a line parallel to a given line and through a given point. They observe that the equation will have...
Interactive
CK-12 Foundation

Permutations: Podiums

For Students 9th - 12th Standards
Add a winning resource to your library. A self-paced interactive has users create a sample space for all possibilities of arranging first- and second-place winners on a podium. The results lead to the realization that permutations...
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...