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

Proportions and Scale: Problem Solving Plan, Proportions

For Students 6th - 8th Standards
Slide into a lesson on proportions. A slider interactive lets users adjust three of the four values in a proportion and automatically updates the fourth value. Scholars use the interactive to help answer a set of challenge questions on...
Interactive
CK-12 Foundation

Addition and Subtraction of Polynomials: Sliders

For Students 8th - 10th Standards
Slide the coefficients to determine sums of polynomials. The interactive contains sliders to change the coefficients of an addend in a polynomial addition problem. Pupils determine the coefficients of the addend to arrive at particular...
Interactive
CK-12 Foundation

Translating Sine and Cosine Functions: Translating Sine

For Students 10th - 12th Standards
Learn how to slide sine back and forth and up and down. Pupils move the starting point of a graph of sine vertically and horizontally. They investigate the changes to the equation of the graph in relationship to the translation. They...
Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Horizontal Translations

For Students 10th - 12th Standards
Find out what causes a function to slide. Pupils move a function along the x-axis and see the resulting change in its equation. Scholars determine the effects that the translation has on the intercepts, domain, and range of the function.
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

Intercepts by Substitution: Finding a Linear Product Using a Quadratic

For Students 9th - 12th Standards
Discover another way to interpret multiplication. Using an interactive, learners slide points (representing the factors of multiplication) along the x-axis of the graph of y = x^2 and observe changes in the line segment connecting the...