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

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

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

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

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

Decimal Rounding Given Place Value

For Students 6th Standards
Tests mathematicians' knowledge of decimals, place value, and rounding with a five-question interactive. A tool with movable parts assists scholars in answering questions—multiple-choice and true or false.  A discussion question...
Interactive
CK-12 Foundation

Continuity at a Point, Continuity Test, Types of Discontinuity: Properties of Continuous Functions

For Students 11th - Higher Ed
Take a closer look at continuous functions within given intervals. Using the parent cubic function, learners explore properties of continuous functions on intervals. Pupils interpret the Intermediate Value Theorem and the Extreme Value...
Interactive
CK-12 Foundation

Fraction Ordering with Lowest Common Denominators: Test Your Strength

For Students 6th Standards
Young mathematicians use a bell and hammer to see how high or low the puck goes. Then, they order the fractional values to demonstrate the greatest to lowest hit. Students then respond to several questions that require them to use...
Interactive
CK-12 Foundation

Scientific Notation: Matching Numbers to Notation

For Students 8th - 12th Standards
Explore the conversion of numbers to scientific notation and back again. Learners begin with a matching activity to identify equivalent expressions. Then guiding questions test and extend their understanding.
Interactive
CK-12 Foundation

Joint and Combined Variation: Variable Sliders

For Students 8th - 10th
Learners use a pair of sliders to investigate how changes in a variable affects other variables in joint variation. A set of five challenge questions tests understanding.
Interactive
CK-12 Foundation

Completing the Square

For Students 8th - 10th Standards
An interactive aids in understanding of how to complete the square for a quadratic equation. A set of five challenge questions tests this understanding.
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

Counting Techniques: Permutations and Combinations

For Students 11th - 12th
Comparing and contrasting is an important skill, even in mathematics. A drag-and-drop interactive has users classify situations as suitable for permutations or combinations. A set of challenge questions tests whether they know the...
Interactive
CK-12 Foundation

Venn Diagrams: T-Shirt Mystery

For Students 6th - 8th
Sorting your t-shirts is easy with Venn diagrams. Individuals use a drag and drop interactive to classify shapes on t-shirts into Venn diagrams. A set of challenge questions tests whether the classification is correct.
Interactive
CK-12 Foundation

Ordered Pairs in Four Quadrants

For Students 6th - 8th Standards
One quadrant just isn't enough. Pupils learn to plot points in the four quadrants of a coordinate plane using an interactive. A set of challenge questions tests their understanding of the skill.
Interactive
CK-12 Foundation

Repeating Decimals: Does 1 equal 0.999... ?

For Students 6th - 8th Standards
Six questions make up a challenging interactive that tests scholars' knowledge of repeating decimals. Mathematicians answer true or false and multiple-choice questions with help from a tool that highlights decimal movement in an...
Interactive
CK-12 Foundation

Bisectors of Line Segments and Angles: Cut an Angle

For Students 6th - 10th
Explore constructions through an interactive online lesson. Given an example of an angle bisector construction, learners investigate the markings to determine the method used. Challenge questions help solidify the steps. 
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

Values Written as Powers: Binary Numbers 1 to 8

For Students 6th - 8th Standards
A six-question interactive tasks scholars with adding binary numbers one through eight. A tool acts as a visual aid to showcase the patterns made when working with base—2, digits zero and one. Question types include fill in the blank,...

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