Interactive
CK-12 Foundation

Understand and Create Line Graphs: Line Graphs

For Students 6th - 8th Standards
Explore line graphs and their characteristics through an interactive lesson. Scholars follow a set of directions to plot data on a line graph. They then answer questions about the type of variables, minimum and maximum values, and...
Interactive
CK-12 Foundation

Line Graphs to Display Data Over Time: Strawberry Competition

For Students 6th - 8th Standards
Take the tediousness out of graphing. Using the interactive tool, learners can efficiently create a line graph from a set of data. They then use the graph to answer questions about specific trends in the data.
Interactive
CK-12 Foundation

Broken-Line Graphs: Heating Curve of Water

For Students 7th - 10th Standards
Examine the unique graphs coined broken-line graphs. Using the phase change of water for data, learners answer questions related to the temperature and energy at different times in the cycle of the phase change. Questions focus on the...
Interactive
CK-12 Foundation

Multiple Line Graphs: Jack's Jumpshot

For Students 7th - 10th Standards
What are the advantages to seeing multiple data sets on the same graph? Scholars explore this question as they manipulate the animation within the lesson. Questions within the interactive ask individuals to make comparisons across the...
Interactive
CK-12 Foundation

Graphs of Linear Systems: Star Lines

For Students 8th - 10th Standards
Let the class stars shine. Using four given linear equations, scholars create a graph of a star. The pupils use the interactive to graph the linear systems and determine the points of intersection. Through the activity, classmates...
Interactive
CK-12 Foundation

Identify Functions and the Vertical Line Test: The Vertical Line Test

For Students 9th - 12th
There's no easier test than the vertical line test. Learners drag a vertical line across the graphs of several relations in an interactive. They answer a set of challenge questions that focus on whether the graphs represent functions.
Interactive
CK-12 Foundation

Horizontal and Vertical Line Graphs

For Students 8th - 10th Standards
See how vertical and horizontal lines have special equations. Scholars drag vertical and horizontal lines onto a coordinate plane to graph given equations. They then answer a set of challenge questions on the topic.  
Interactive
CK-12 Foundation

Graphs of Linear Systems: Heart Rate Tracker

For Students 8th - 10th Standards
Max out heart rates for males and females. Formulas of maximum heart rates provide the equations for a linear system. Pupils use the interactive to graph the equations for males and females and determine their points of intersection. The...
Interactive
CK-12 Foundation

Evaluate Limits Using Graphs and Tables: Where Is That Limit?

For Students 11th - Higher Ed
Limits are made easy through graphs and tables. An easy-to-use interactive lets users change a function on a coordinate plane. They relate graphs and tables to the limit at a specific value.
Interactive
CK-12 Foundation

Input-Output Tables for Function Rules

For Students 6th - 9th Standards
How does changing a graph affect the function? Learners watch the changing input-output table as they adjust the location of the line graph. Questions prompt them to complete a table of values and determine the function rule.
Interactive
CK-12 Foundation

Vertical Line Test: Exploration

For Students 8th - 9th
What do vertical lines have to do with functions? Individuals slide a vertical line through four different graphs. They use that vertical line test to determine if the graphs represent functions.
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

Parabolas: Invisible Graph

For Students 11th - Higher Ed Standards
Envision the function as the point swings. Given a point connected to another point and a line, pupils trace through an invisible graph. Learners identify the name of the given point and the line and determine the type of conic section...
Interactive
CK-12 Foundation

Graphs Using Slope-Intercept Form: Zip-Line

For Students 7th - 9th Standards
Zip lines aren't so scary when all your scholars use them for is math. Young mathematicians see how the slope of a zip-line to a building changes as the height changes. They answer a set of challenge questions regarding the scenario.
Interactive
CK-12 Foundation

Inequality Expressions: Inequality Graph

For Students 6th - 8th Standards
Don't let inequalities be a drag. As young mathematicians drag the endpoint of the graph of an inequality in an interactive, the algebraic form of the inequality changes. This helps them see how the graph connects to the inequality.
Interactive
CK-12 Foundation

Graphs for Discrete and for Continuous Data: Discrete vs. Continuous Data

For Students 7th - 12th
Not all data is the same. Using the interactive, pupils compare data represented in two different ways. The learners develop an understanding of the difference between discrete and continuous data and the different ways to represent each...
Interactive
CK-12 Foundation

Graphs in the Coordinate Plane: Functions on a Cartesian Plane

For Students 6th - 8th
Connect the dots to graph a linear function. Young mathematicians use an interactive to first plot provided points on a coordinate plane. They connect these points with a line and then answer questions about the slope and y-intercept of...
Interactive
CK-12 Foundation

Algebraic Functions: Vertical Line Test

For Students 8th
To be (a function) or not to be (a function). An easy-to-use interactive has pupils drag a vertical line onto several graphs to determine if they represent functions. Some challenge questions assess understanding of this idea.
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

Graphs of Linear Functions: Line Designs

For Students 8th - 10th Standards
Designs from lines are sublime. Scholars create colorful designs by connecting points on an interactive coordinate plane. They answer questions about slope and quadrants based on their designs.
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

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

Inverse Functions

For Students 11th - Higher Ed Standards
Provide a graphical view of inverses. Pupils manipulate points on a line and see the relationship of the graph with the graph of its inverse. Using the relationship between the graphs, scholars respond to questions concerning inverses...
Interactive
CK-12 Foundation

Existence: One-to-One Functions and Inverses

For Students 11th - Higher Ed Standards
One-to-one means the answer is simple, right? Given four graphs, pupils use a vertical line to test each graph to find out if they are one-to-one. By using the resource, learners realize that not all one-to-one relations are functions....