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Interactive
CK-12 Foundation

The Real Numbers: Union and Intersection of Sets

For Students 8th - 9th
Not everyone can get what they want in a smoothie. Learners determine the fruit they can place in a smoothie given constraints and preferences. The union and intersection of sets must be taken into consideration.
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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.
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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.
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Interactive
CK-12 Foundation

Frequency Tables to Organize and Display Data: Favorite Films

For Students 7th - 10th Standards
What information can your class determine if they know the number of people attending movie showings? Using the information about the number of people at each screening, learners develop a frequency table. The pupils analyze the type of...
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Interactive
CK-12 Foundation

Displaying Categorical Variables: Spending Habits

For Students 6th - 10th Standards
Bar or circle graph—which is best? Given a circle graph and a total amount of money earned, pupils calculate the amount of money in each category. Learners use the calculated amounts to create a bar graph and compare the two displays.
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Interactive
CK-12 Foundation

Displaying Univariate Data: Ordering Leaves

For Students 9th - 12th Standards
Leaf a little time to organize data. Given data displayed in a stem-and-leaf plot, learners organize the data in a list. Pupils use the data to determine the mode, median, and range of the data set. They determine the benefits of using a...
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Interactive
CK-12 Foundation

Single Bar Graphs: Cupcakes

For Students 7th - 12th
What is a little cake among friends? Given the relationship between the number of cupcakes five friends have, pupils create a bar graph. The learners answer questions about the graph and adjust the graph if one friend shares some of his...
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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.
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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...
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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...
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Interactive
CK-12 Foundation

Double Bar Graphs: Favorite Cookies Chart

For Students 6th - 10th
It's just the way the cookie crumbles. Using the data from a class poll, learners create a double bar graph showing favorite cookie types. The pupils compare favorites between boys and girls with the aid of their graphs, then they make...
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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...
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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...
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Interactive
CK-12 Foundation

Understand and Create Histograms: Histograms

For Students 6th - 10th Standards
Tally ho! Represent the frequency of ages at school. Pupils finish a tally chart to match the frequencies of ages at school. Using the frequencies, the learners create a histogram. With the aid of the histogram and the frequency table,...
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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...
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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...
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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

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

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

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
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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.
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Interactive
1
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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
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....
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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...

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