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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

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.
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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...
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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.
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Interactive
CK-12 Foundation

Logistic Functions: Fab Fitness

For Students 11th - Higher Ed
Strengthen your understanding of logistic functions. Young mathematicians change the carrying capacity of a logistic function and see how function values change. The function models the number of members in a gym over time.
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Interactive
CK-12 Foundation

Restricted Domain and Range: Restricted Circle Radius and Area

For Students 9th - 12th Standards
There's no restriction to how much your class can learn about domain and range. Users of an interactive adjust the radius of a circle to see its effects on the area. They note how restrictions in the domain (radius) relate 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

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

Coefficient of Variation: Diverse Populations

For Students 9th - 12th
What is the height of school clubs? Learners use sliders to calculate the coefficient of variation for three different school groups. Using the calculations, class members compare the variation in the heights of the groups.
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Interactive
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1
CK-12 Foundation

Mode: Boxes of Oranges

For Students 6th - 8th Standards
See how your data stacks up. Pupils stack crates of oranges in increasing order, creating a simple bar graph. Using the graph, individuals determine measures of center and describe the shape of the distribution. Scholars determine what...
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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...
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Interactive
CK-12 Foundation

Mental Math to Evaluate Products: Mental Math Halloween Candy

For Students 6th
Time to put those mental math strategies into play with an interactive that has learners thinking about how many candies three friends get altogether.
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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
1
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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
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
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

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...
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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: 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

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 plot....
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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

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

Line Graphs to Display Data Over Time: Strawberry Competition

For Students 6th - 8th Standards
Take the tediousness out of graphing. Using the interactive tool, learners can efficiently create a line graph from a set of data. They then use the graph to answer questions about specific trends in the data.