Interactive
CK-12 Foundation

The Real Numbers: Size of Infinite Sets

For Students 8th - 10th
The learning opportunities with the resource on infinity are finite, but it's still good to use. Individuals investigate the size of the set of integers and the set of even integers. Conclusion: the two sets have the same size.
Interactive
CK-12 Foundation

The Real Numbers: Number System

For Students 8th - 9th
Get real about learning the real number classification. Young mathematicians create a graphic organizer of the real number system using an interactive. They answer a set of challenge questions on the classifications of real numbers.
Interactive
CK-12 Foundation

Identify Line Types: Identify Types of Lines

For Students 6th - 12th Standards
If lines aren't parallel or perpendicular, then what are they? An interactive lets users rotate a line to change its orientation with respect to another line. It then indicates whether the lines are parallel, perpendicular, or...
Interactive
CK-12 Foundation

Data Summary and Presentation: Chart for Grouping Data

For Students 7th - 12th Standards
Get social! Create a display of social media use for a class. Pupils use provided information about the time spent on social media to construct a histogram. Using the histogram, learners interpret the data to answer questions.
Interactive
CK-12 Foundation

Single Bar Graphs: Hockey Teams

For Students 6th - 12th Standards
Raise the bar for hockey fans. Using data about favorite hockey teams, pupils build a bar graph. They use the information from the graph to make comparisons and solve one- and two-step problems.
Interactive
CK-12 Foundation

Pie Charts: Soda Party

For Students 7th - 9th
Using the interactive, pupils create a pie chart that represents the percentage of sodas bought for a party. Individuals need to determine the percentage and number for the final variety of drinks. The learners determine how the...
Interactive
CK-12 Foundation

Types of Data Representation: Baby Due Date Histogram

For Students 11th - 12th Standards
Histograms are likely to give birth to a variety of conclusions. Given the likelihood a woman is to give birth after a certain number of weeks, pupils create a histogram. The scholars use the histogram to analyze the data and answer...
Interactive
CK-12 Foundation

Two-Sided Stem-and-Lead Plots: Gamers

For Students 6th - 8th Standards
Which gender spends more time playing video games? Your classes use provided data to answer this question. They first build a two-sided stem-and-leaf plot and then use the display to look for patterns. Guiding questions help them...
Interactive
CK-12 Foundation

Regular and Irregular Polygons: Polygon States

For Students 9th - 12th Standards
Colorado would probably object if Wyoming enlarged its borders. Scholars use an interactive map to change the borders of U.S. states to see how angles change. They then answer questions about regular and irregular polygons.
Interactive
CK-12 Foundation

Solving Equations with Exponents: Money Over Time

For Students 10th - 12th
We'd all like to see our money double. An interactive shows how an initial investment of $1,000 will increase using a constant rate of return. Scholars answer a set of challenge questions based on the situation.
Interactive
CK-12 Foundation

APR and APY: APR vs. APY

For Students 10th - 12th
Who wins the battle of the interest rates? Scholars use an interactive to investigate three different bank rates. Comparing APR and APY lets them see how nominal and effective rates differ.
Interactive
CK-12 Foundation

Concept of Limit

For Students 11th - Higher Ed
There's no limit to how useful the resource can be. Scholars use a slider interactive to investigate limits from graphs. They take both one-sided and two-sided limits into consideration.
Interactive
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CK-12 Foundation

Mode: Kittens

For Students 6th - 8th Standards
It is not as difficult as herding cats. The short interactive provides a group of kittens to sort according to their colors. Pupils determine the mode of the number of kittens by color. The questions continue with other numbers of...
Interactive
CK-12 Foundation

Variance of a Data Set

For Students 9th - 12th Standards
Use variable value sliders to understand variance. The interactive shows four whole numbers, their mean and deviation. Using the information, pupils find the variance of the numbers and respond to question related to the understanding of...
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

Analyzing the Graphs of Functions: Analyzing a Rational Function

For Students 11th - Higher Ed
Shift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals of...
Interactive
CK-12 Foundation

Antiderivative: Piecing it Together

For Students 11th - Higher Ed
Build a function backwards. Given a graph of the derivative of a function, pupils piece together a graph of the original function, the antiderivative. Learners use their graphs and the graphs of the derivatives to answer questions about...
Interactive
CK-12 Foundation

Absolute Versus Local Extrema

For Students 11th - Higher Ed
Get the class to take an extreme look at functions. The interactive presents a function on a closed interval with a movable tangent line. Using the given function, pupils determine the extrema, critical points, and points of...
Interactive
CK-12 Foundation

Intermediate Value Theorem, Existence of Solutions: Function Exploration

For Students 11th - Higher Ed
Does the value exist? The interactive allows pupils to visualize the Intermediate Value Theorem. Using the visualization, individuals respond to questions using specific values and general values. The class comes to the conclusion what...
Interactive
CK-12 Foundation

Tangent Line Approximation: Estimating Square Roots

For Students 11th - Higher Ed
Estimating a square root is as easy as evaluating a linear equation. Using the derivative of the square root function, pupils calculate an estimation of square roots. Class members determine the equation of the tangent line at the value...
Interactive
CK-12 Foundation

Newton's Method

For Students 11th - Higher Ed
Use an iterative process to find an approximation of a square root. Pupils use the interactive to find an approximation to find the positive root of a quadratic function with Newton's method. With the graphs, learners position the...
Interactive
CK-12 Foundation

Method of Cylindrical Shells

For Students 11th - Higher Ed
Approximate the volume of a solid of revolution. Using a method similar to approximating the area under a curve, pupils investigate the volume of a solid of revolution. The learners use a given definite integral to find the volume of...
Interactive
CK-12 Foundation

Work and Force: Lifting a Bucket

For Students 11th - Higher Ed
How much work does it take to lift a bucket? An interactive presents a problem of lifting a bucket from the ground to the top of a building. Using their knowledge about work and integrals, pupils calculate the amount of work required to...
Interactive
CK-12 Foundation

Differential Equations Representing Growth and Decay: Rice Legend

For Students 11th - Higher Ed
The legend of a wise man who asks a king for rice as a reward presents a context to study exponential solutions to differential equations. Pupils move quantities of rice to a chessboard and calculate the amount of rice for each day. To...