Interactive
CK-12 Foundation

Graphs for Discrete and for Continuous Data: Discrete vs. Continuous Data

For Students 7th - 12th
Not all data is the same. Using the interactive, pupils compare data represented in two different ways. The learners develop an understanding of the difference between discrete and continuous data and the different ways to represent each...
Interactive
CK-12 Foundation

Interpretation of Circle Graphs: Northwest Region Population Pie

For Students 8th - 11th
Given populations of the five Northwestern states, learners create a circle graph. Using the data and the pie chart, they make comparisons between the populations of the states. Finally, the pupils determine how the chart will change...
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

Misleading Graphs (Identify Misleading Statistics): Are Virgos Cursed?

For Students 7th - 10th Standards
Is it safe to take data at its face value? Pupils use the interactive to evaluate a claim that Virgos are more likely to get into a car crash than others. Individuals determine whether another variable may be at play.
Interactive
CK-12 Foundation

Multiple Bar Graphs

For Students 6th - 10th
I scream, you scream, we all scream for ice cream bar graphs. Pupils create a multiple bar chart to represent the sales of ice cream products during the first week of summer. Using the chart, learners find the day that each of the...
Interactive
CK-12 Foundation

Understand and Create Histograms: Car Sales

For Students 6th - 10th Standards
Create a history of car sales. Pupils create a histogram/bar graph to show the number of car sales made during the week. Using the data display, learners calculate numerical summaries of the data and find the percent of cars sold during...
Interactive
CK-12 Foundation

Understand and Create Histograms: Histograms

For Students 6th - 10th Standards
Determine the shape of weight. Using the interactive, class members build a histogram displaying weight ranges collected in a P.E. class. Scholars describe the shape of the histogram and determine which measure of central tendency to use...
Interactive
CK-12 Foundation

Frequency Polygons: Constructing a Frequency Polygon

For Students 9th - 12th Standards
Connect the dots on frequency. Given a distribution table of scores on an assessment, learners create a frequency polygon by moving points on a graph to the correct frequency. The pupils use the display to answer questions about the...
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

Formulas for Problem Solving: Finding Distance, Rate, and Time

For Students 8th Standards
Go the distance in learning about distance, rate, and time. Young mathematicians use an interactive to investigate the relationship between distance, rate, and time. A set of challenge questions assesses understanding of these...
Interactive
CK-12 Foundation

One-Sided Limit Type: One-Sided Limits

For Students 11th - Higher Ed
Not everything that's one-sided is bad. A slider interactive aids learners in investigating one-sided limits from graphs. A set of challenge questions assesses their understanding of the relationship between one- and two-sided limits.
Interactive
CK-12 Foundation

Restricted Domain and Range: Translation of a Curve

For Students 9th - 12th Standards
Moving the graph of a function obviously changes its domain and range. Scholars adjust the location of a graph in an interactive coordinate plane. The interactive automatically updates and displays the domain and range to show how it...
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

Continuous Interest

For Students 10th - 12th
Continue teaching your financial scholars about interest. A slider interactive has users investigate the growth of an account earning continuous interest. A set of challenge questions has them solve problems given a variety of situations.
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

Even and Odd Functions and Function Symmetry: Even and Odd Functions (Symmetry)

For Students 10th - 12th Standards
Even money states that the resource is good to use. Scholars manipulate an interactive to adjust the portion of a graph to the left of the y-axis. The interactive allows them to switch between even and odd modes that show the right side...
Interactive
CK-12 Foundation

Find Imaginary Solutions: Imaginary Zeros

For Students 10th - 12th Standards
The resource is the real deal. Individuals investigate the imaginary zeros of f(x) = x^2 + 1. They accomplish this task by using an interactive that shows input values x = a + bi and output values x^2 + 1 on a complex plane.
Interactive
CK-12 Foundation

Concept of Limit: Limit Notation

For Students 11th - Higher Ed
Limits to infinity are simple to find if you can compare numerators and denominators. Users of the interactive drag expressions to match with their limit as x approaches infinity. A set of challenge questions assesses their groupings.
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
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CK-12 Foundation

Mode: Mucho Money

For Students 6th - 8th Standards
Generate stacks of money. Given bills of different denominations, pupils stack them based on their values. The learners figure out which value is the mode of the data and determine whether the data is unimodal, bimodal, or multimodal.
Interactive
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CK-12 Foundation

Mean: Harmonic Mean

For Students 6th - 10th Standards
Let the means live in harmony. With lengths representing the values of a small data set, learners compare the arithmetic mean to the harmonic mean. The pupils determine which value is the most accurate representation of the average of...
Interactive
CK-12 Foundation

Basic Trigonometric Limits: Evaluating Limits of tan(x)

For Students 11th - Higher Ed
Chase a periodic moving limit. Learners graphically determine the limit of the tangent function at different input values. Using sliders, pupils find out whether the tangent function approaches the same value from the left and the right....
Interactive
CK-12 Foundation

Limits of Polynomial and Rational Functions: Evaluating the Limits of the Quadratic Function

For Students 10th - Higher Ed
Push an engaging resource to the limit. The interactive allows learners to find a limit on quadratic functions graphically. Using sliders, pupils set the x-value for the limit and to move values from the left and right toward the limit.
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...