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

Hyperbolas

For Students 11th - Higher Ed Standards
Hyperbolas—practice thinking outside of the box. Pupils alter the end behavior box to create various graphs of hyperbolas. They determine formulas to find the distance from the origin to the foci. Using that information, scholars...
Interactive
CK-12 Foundation

Doppler Ducks

For Students 9th - 12th
The study of waves is not a quacking matter! Watch as a duck manipulates the behavior of its waves through its motion. Graphs show the frequency and wavelength of the waves. 
Interactive
CK-12 Foundation

Hot Oven

For Students 6th - 12th Standards
Why does the air in a hot oven not burn skin, but metal in the oven does? The simulation focuses on the difference between temperature and thermal energy and the way these are transferred. Scholars adjust the temperature of an oven and...
Interactive
CK-12 Foundation

Stow Lake

For Students 9th - 12th Standards
Does the depth of a pond matter to the waves created when rain is falling? Many people assume the answer is no, but interestingly, it does matter. Pupils explore this concept and other variables related to wave behavior through a...
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

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

Infinite Limit Type: Properties of Limits

For Students 11th - Higher Ed Standards
Limits can provide some valuable information about graphs. A slider interactive lets learners see the behavior of a graph around asymptotes. They investigate relationships between limits and asymptotes.

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