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 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

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

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....
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

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

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

Comparison of Unit Rates: Drive Away

For Students 6th - 8th Standards
Five questions make up an interactive that challenges mathematicians to compare unit rates. Word problems question scholars about two friends going on a road trip. Scholars manipulate two cars on a coordinate plane to help solve word...
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

Inverse Functions: Definition of Inverse Functions

For Students 11th - Higher Ed Standards
Is the inverse of a function also a function? Pupils manipulate the graph of a function to view its inverse to answer this question. Using a horizontal and vertical line, class members determine whether the initial function is...
Interactive
CK-12 Foundation

Continuity of a Function: Continuity

For Students 10th - Higher Ed
Does the point continually move along the graph? Pupils drag a line across two functions to determine whether they are continuous or not. They answer questions about the properties of continuous and discontinuous functions. Using their...
Interactive
CK-12 Foundation

Stadium Wave

For Students 6th - 12th Standards
If you are at a sports match and the crowd starts two waves that are both headed toward you at the same time, what do you do? The simulation applies the concepts of constructive interference and destructive interference to that very...
Interactive
CK-12 Foundation

Irwin and Ruthie

For Students 6th - 12th
Learners compare acceleration to displacement through an interactive tutorial that permits them to adjust the running strategy of two robots and watch them race. A graph displays the robot's velocity over time and another shows their...
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

Linear Programming: Bakers' Dilemma

For Students 9th - 12th Standards
Place the pies in a line. Pupils create a graph of a system of linear inequalities to represent the number of pies a bakery can make. Learners analyze the vertices on the graph to determine the number of pies they can bake without...
Interactive
CK-12 Foundation

Ski Jump

For Students 6th - 12th Standards
What are the three types of energy a ski jumper uses? If you said potential, kinetic, and heat, then you are correct. Scholars adjust the jumper's mass, jumper's form, and height of the start line in the simulation to display graphs of...
Interactive
CK-12 Foundation

Infinite Limit Type: Asymptotes and End Behavior Question

For Students 11th - Higher Ed Standards
There are an infinite number of reasons to use the resource. Scholars drag vertical and horizontal lines to the graph of a rational function to identify all asymptotes. They investigate the connection between asymptotes and limits to...
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.