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Interactive
CK-12 Foundation

Multiple Line Graphs: Jack's Jumpshot

For Students 7th - 10th Standards
What are the advantages to seeing multiple data sets on the same graph? Scholars explore this question as they manipulate the animation within the lesson. Questions within the interactive ask individuals to make comparisons across the...
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Interactive
CK-12 Foundation

Evaluate Relations with Scatter Plots: Regression and Correlation

For Students 8th - 12th Standards
Introduce the concept of a correlation coefficient using an interactive lesson. Learners begin by manipulating a correlation coefficient and watching a graph change to represent the new value. Questions help strengthen their...
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Interactive
CK-12 Foundation

Understand and Create Stem-and-Leaf Plots: Stem-and-Leaf Plots

For Students 6th - 8th Standards
Explore the advantages to using a stem-and-leaf plot using an online lesson. Learners manipulate an animation to create a stem-and-leaf plot. They then calculate statistics for the data using their display. Guiding questions help them...
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Interactive
CK-12 Foundation

Stem-and-Leaf Plots and Histograms: Digital Photography

For Students 8th - 10th Standards
Cameras use histograms to communicate the exposure of a photograph. An interesting lesson uses this idea to help learners deepen their understanding of histograms. It highlights the skew of the graphs by showing under- and overexposed...
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Interactive
CK-12 Foundation

Understand and Create Stem-and-Leaf Plots: Event Survey

For Students 7th - 9th Standards
 A good lesson doesn't just grow on trees! Help your classes understand the concept of a stem-and-leaf plot using an interactive lesson. Learners first create a stem-and-leaf plot from a set of data by dragging the values to the...
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Interactive
CK-12 Foundation

Simple Random Sampling: How Many Samples Does it Take to Change a Light Bulb?

For Students 7th - 10th Standards
Teach the concept of simple random sampling through an interactive lesson. Learners explore the concept by considering the strength of sampling methods. Size of the samples varies also as individuals determine which methods lead to the...
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Interactive
CK-12 Foundation

Create and Understand Box-and-Whisker Plots: Babies in a Waiting Room

For Students 9th - 12th Standards
Explore the strengths and weaknesses of box-and-whisker data display. An interactive lesson asks learners to create a box-and-whisker plot from a set of data. Challenge questions focus on determining what types of conclusions they can...
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Interactive
CK-12 Foundation

Stratified Random Sampling: An Extracurricular Study

For Students 9th - 12th Standards
Learning isn't a random process. A well-designed interactive lesson helps classes make key conclusions about stratified random sampling. They calculate group percentages and use those percentages to decide on sampling totals.
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Interactive
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CK-12 Foundation

Introduction to Mean, Median, and Mode: The Tree Conundrum

For Students 6th - 8th Standards
How many trees should we plant? Using an interactive as a manipulative, individuals find the mean, median, and mode for sets of data. They determine the number of trees to plant in each plot of land to reach a statistical goal.
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Interactive
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CK-12 Foundation

Mean: Arithmetic Mean

For Students 6th - 9th Standards
How is a mean affected by changes in data? A well-designed animation allows individuals to manipulate data and watch the effect on the mean. Challenge questions help guide users to conclusions about outliers and skew within data.
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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.
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Interactive
CK-12 Foundation

And and Or Statements: Number Lines

For Students 7th - 10th
Compound statements are actually quite simple. A virtual interactive provides a means to graph solution sets to compound statements involving and and or. Users then answer a few challenge questions on these solution sets.
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Interactive
CK-12 Foundation

Parallel and Perpendicular Lines: Identify Types of Lines

For Students 9th - 11th
Are there only three options: parallel, perpendicular, or intersecting? Scholars move a given line in an interactive to change its orientation with respect to another line. The interactive indicates whether the lines are parallel,...
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Interactive
CK-12 Foundation

Proofs: Angle Pairs and Segments—The Three Angle Problem

For Students 9th - 11th
Finding the sum of the measures of three angles is easy, unless you have no clue what the measures are. Learners use an interactive diagram to see a geometric problem in a different way. A set of challenge questions takes them through...
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Interactive
CK-12 Foundation

Properties of a Normal Distribution: Uniform Distributions

For Students 9th - 12th Standards
There's nothing normal about an extraordinary resource. Scholars change the dimensions of a normal distribution using a slider interactive. Determining the area under the graph gives probabilities for different situations.
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Interactive
CK-12 Foundation

Sampling Distribution of a Sample Mean: The Mean of the Average Ages

For Students 9th - 12th
What does it mean to take the mean of the mean? An easy-to-use interactive has users adjust the mean ages of different samples. Finding the average of these sample means gives an estimate of the population mean.
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Interactive
CK-12 Foundation

Evaluate Limits Using Graphs and Tables: Where Is That Limit?

For Students 11th - Higher Ed
Limits are made easy through graphs and tables. An easy-to-use interactive lets users change a function on a coordinate plane. They relate graphs and tables to the limit at a specific value.
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Interactive
CK-12 Foundation

Evaluate Limits Using Graphs and Tables: Evaluate the Limits

For Students 11th - Higher Ed
Discontinuities in the graph? No worries. Pupils investigate the limit of a function given graphically using an interactive. The graph has removable and jump discontinuities.
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Interactive
CK-12 Foundation

One-Sided Limit Type: Limit Notation and Graphs

For Students 11th - Higher Ed
A one-sided limit is no less important than a two-sided limit. Young mathematicians use an interactive to match limit notation to graphs. The exercise requires interpreting how one-sided limits connect to features of graphs.
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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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Interactive
CK-12 Foundation

Infinite Limit Type: Evaluating Limits of Rational Functions

For Students 11th - Higher Ed Standards
Rational functions become less mysterious when you know about limits. Individuals use an interactive to move a rational function on a coordinate plane and to investigate function values for certain x-values. They see how the limit...
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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...
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Interactive
CK-12 Foundation

Least-Squares Regression

For Students 9th - 12th
Residual plots let you find the perfect line of best fit. As users adjust the points on a scatter plot and a possible line of best fit, the interactive automatically changes the residual plot. This change allows them to see connections...
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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.