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CK-12 Foundation
Inverse Functions: Definition of Inverse Functions
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...
CK-12 Foundation
Existence: One-to-One Functions and Inverses
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....
CK-12 Foundation
The Real Numbers: Surjections, Injections and Bijections
Inject a great interactive into your lesson plans. Scholars learn about injections, surjections, and bijections of sets. They use an interactive that shows an example for each of these relationships between sets.
CK-12 Foundation
Properties of Real Number Addition: The Secret of Subtraction
Learners sometimes struggle to understand the concept of adding and subtracting integers. Help them see the why behind their answers using the interactive number line. The values change as individuals adjust the number line for each new...
CK-12 Foundation
Comparison of Unit Rates: Drive Away
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...
CK-12 Foundation
Quadratic Functions and Equations
The form of a quadratic function paints a picture of its graph. Young mathematicians explore this connection by locating key features on a graph and then writing the corresponding equations. The interactive tutorial highlights key...
CK-12 Foundation
Basic Visual Patterns: Train Cars
An interactive comprised of five questions challenges young scholars to complete a simple pattern. After examining a train with colored carts, learners arrange a green, blue, and yellow block into their corresponding space. Questions are...
CK-12 Foundation
Multiplying Matrices by a Scalar: Column Vectors
Make connections between vectors and matrices through multiplication. Scholars use the interactive to view the effect of multiplying a matrix by a scalar. The interactive displays the resulting matrix and its corresponding column vectors...
CK-12 Foundation
Definition of Inverse Functions
Investigate the definition of inverse functions graphically. Using the interactive, scholars create a graph of a function and view its resulting inverse. They then determine whether a group of functions have inverses that are also...