Interactive
CK-12 Foundation

Order Real Numbers: Pie Baking Contest

For Students 6th - 8th Standards
Time is on your side. Scholars plot three points on number lines with different time units to represent the time it takes three people to bake pies. They determine the fastest baker and the difference in times between the bakers.
Interactive
CK-12 Foundation

Patterns and Expressions: Cookie Jars

For Students 6th - 9th Standards
It's okay to get caught with your hand in a virtual cookie jar. Pupils use an interactive to drag cookies from two cookie jars onto a plate. They investigate how an expression representing the number of remaining cookies changes as users...
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

Identify Line Types: Intersecting and Parallel Lines

For Students 6th Standards
Navigate your way through a lesson on types of lines. Individuals drag line segments to illustrate paths between pairs of houses on an interactive map. They determine if these line segment pairs are intersecting or parallel.
Interactive
CK-12 Foundation

Bar Graphs, Frequency Tables, and Histograms: Comparing Heights

For Students 7th - 10th Standards
Become a master at creating visual displays. Using a provided list of heights, users of the interactive create a bar graph and a histogram. They answer a set of challenge questions based on these data representations.
Interactive
CK-12 Foundation

Displaying Categorical Variables: Spending Habits

For Students 6th - 10th Standards
Bar or circle graph—which is best? Given a circle graph and a total amount of money earned, pupils calculate the amount of money in each category. Learners use the calculated amounts to create a bar graph and compare the two displays.
Interactive
CK-12 Foundation

Displaying Univariate Data: Ordering Leaves

For Students 9th - 12th Standards
Leaf a little time to organize data. Given data displayed in a stem-and-leaf plot, learners organize the data in a list. Pupils use the data to determine the mode, median, and range of the data set. They determine the benefits of using a...
Interactive
CK-12 Foundation

Understand and Create Histograms: Car Sales

For Students 6th - 10th Standards
Create a history of car sales. Pupils create a histogram/bar graph to show the number of car sales made during the week. Using the data display, learners calculate numerical summaries of the data and find the percent of cars sold during...
Interactive
CK-12 Foundation

Understand and Create Histograms: Histograms

For Students 6th - 10th Standards
Tally ho! Represent the frequency of ages at school. Pupils finish a tally chart to match the frequencies of ages at school. Using the frequencies, the learners create a histogram. With the aid of the histogram and the frequency table,...
Interactive
CK-12 Foundation

Understand and Create Histograms: Histograms

For Students 6th - 10th Standards
Determine the shape of weight. Using the interactive, class members build a histogram displaying weight ranges collected in a P.E. class. Scholars describe the shape of the histogram and determine which measure of central tendency to use...
Interactive
CK-12 Foundation

Simple Random Sampling: How Many Samples Does it Take to Change a Light Bulb?

For Students 7th - 10th Standards
Teach the concept of simple random sampling through an interactive lesson. Learners explore the concept by considering the strength of sampling methods. Size of the samples varies also as individuals determine which methods lead to the...
Interactive
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CK-12 Foundation

Mean: Arithmetic Mean

For Students 6th - 9th Standards
How is a mean affected by changes in data? A well-designed animation allows individuals to manipulate data and watch the effect on the mean. Challenge questions help guide users to conclusions about outliers and skew within data.
Interactive
CK-12 Foundation

And and Or Statements: Number Lines

For Students 7th - 10th
Compound statements are actually quite simple. A virtual interactive provides a means to graph solution sets to compound statements involving and and or. Users then answer a few challenge questions on these solution sets.
Interactive
CK-12 Foundation

Proofs: Angle Pairs and Segments—The Three Angle Problem

For Students 9th - 11th
Finding the sum of the measures of three angles is easy, unless you have no clue what the measures are. Learners use an interactive diagram to see a geometric problem in a different way. A set of challenge questions takes them through...
Interactive
CK-12 Foundation

Zeroes and Intercepts of Polynomials: Function Intercepts

For Students 9th - 12th Standards
There is zero reason not to use the resource. Given a graph with a polynomial function and a linear function, scholars move the line in an interactive. To wrap up the lesson, they note how zeros and intersection points change.
Interactive
CK-12 Foundation

Restricted Domain and Range: Translation of a Curve

For Students 9th - 12th Standards
Moving the graph of a function obviously changes its domain and range. Scholars adjust the location of a graph in an interactive coordinate plane. The interactive automatically updates and displays the domain and range to show how it...
Interactive
CK-12 Foundation

Compound Interest per Period: Credit Card Payment

For Students 10th - 12th
Credit cards can be convenient, but are they worth it? Future consumers learn about compound interest and credit card payments. They use an interactive to create a table that shows the remaining balance after each month.
Interactive
CK-12 Foundation

Even and Odd Functions and Function Symmetry: Even and Odd Functions

For Students 10th - 12th Standards
Even, odd, or neither? Pupils study even and odd functions using a well-balanced interactive. They determine whether a given function is even or odd from its graph.
Interactive
CK-12 Foundation

Even and Odd Functions and Function Symmetry: Even and Odd Functions (Symmetry)

For Students 10th - 12th Standards
Even money states that the resource is good to use. Scholars manipulate an interactive to adjust the portion of a graph to the left of the y-axis. The interactive allows them to switch between even and odd modes that show the right side...
Interactive
CK-12 Foundation

Concept of Limit

For Students 11th - Higher Ed
There's no limit to how useful the resource can be. Scholars use a slider interactive to investigate limits from graphs. They take both one-sided and two-sided limits into consideration.
Interactive
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CK-12 Foundation

Mean: Harmonic Mean

For Students 6th - 10th Standards
Let the means live in harmony. With lengths representing the values of a small data set, learners compare the arithmetic mean to the harmonic mean. The pupils determine which value is the most accurate representation of the average of...
Interactive
CK-12 Foundation

Analyzing the Graphs of Functions: Analyzing a Rational Function

For Students 11th - Higher Ed
Shift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals of...
Interactive
CK-12 Foundation

Constant, Identity, and Power Rules: Power Rule

For Students 11th - Higher Ed
Learn to gain power in finding derivatives. The resource introduces the power rule. Using the sliders in the interactive, pupils create polynomial functions and find their derivatives. Given the derivative of a polynomial, learners...
Interactive
CK-12 Foundation

Intermediate Value Theorem, Existence of Solutions: Function Exploration

For Students 11th - Higher Ed
Does the value exist? The interactive allows pupils to visualize the Intermediate Value Theorem. Using the visualization, individuals respond to questions using specific values and general values. The class comes to the conclusion what...