Willow Tree
Line Plots
You can't see patterns in a jumble of numbers ... so organize them! Learners take a set of data and use a line plot to organize the numbers. From the line plot, they find minimum, maximum, mean, and make other conclusions about the...
CK-12 Foundation
Line Plots from Frequency Tables: Sleep Cycles
Demonstrate the ease of using a frequency table. An interactive lesson allows learners to create a frequency table efficiently. Challenge questions ask your classes to analyze the data represented in the frequency table.
EngageNY
More on Modeling Relationships with a Line
How do you create a residual plot? Work as a class and in small groups through the activity in order to learn how to build a residual plot. The activity builds upon previous learning on calculating residuals and serves as a...
Curated OER
Graph It!
There is more than one way to represent data! Learners explore ways to represent data. They examine stacked graphs, histograms, and line plots. They conduct surveys and use stacked graphs, histograms, or line plots to chart the data they...
Curated OER
Range, Cluster, Gap and Outliers
There are a number of activities here where learners collect and record data, as well as, activities where the likelihood of an event happening is calculated given the experimental probability. Young statisticians organize information...
CK-12 Foundation
Fitting Lines to Data
Scatter the TV sales over weeks. Pupils create a scatter plot to display the number of TV sales over a period of several weeks. The interactive allows class members to create two lines of best fit. Then they determine which line fits...
Charleston School District
The Line of Best Fit
If it's warm, they will come! Learners find a line of best fit to show a relationship between temperature and beach visitors. Previous lessons in the series showed pupils how to create and find associations in scatter plots. Now,...
Mathed Up!
Cumulative Frequency and Box Plots
Learn how to display data. Young data analysts watch a video to review how to create cumulative frequency histograms and box plots. They work on a set of questions to practice producing these data displays.
West Contra Costa Unified School District
Correlation and Line of Best Fit
Computers are useful for more than just surfing the Internet. Pupils first investigate scatter plots and estimate correlation coefficients. Next, they use Microsoft Excel to create scatter plots and determine correlation...
EngageNY
Interpreting Residuals from a Line
What does an animal's gestation period have to do with its longevity? Use residuals to determine the prediction errors based upon a least-square regression line. This second lesson on residuals shows how to use residuals to create a...
EngageNY
Modeling Relationships with a Line
What linear equation will fit this data, and how close is it? Through discussion and partner work, young mathematicians learn the procedure to determine a regression line in order to make predictions from the data.
Curated OER
Interpreting and Displaying Sets of Data
Students explore the concept of interpreting data. In this interpreting data lesson, students make a line plot of themselves according to the number of cubes they can hold in their hand. Students create their own data to graph and...
CK-12 Foundation
Vectors as Directed Line Segments: Directed Line Segment
Direct your class' attention to directed line segments. The interactive resource allows pupils to create segments with specific endpoints. Scholars plot the initial and terminal points to determine the direction and magnitude of the...
Willow Tree
Box-and-Whisker Plots
Whiskers are not just for cats! Pupils create box-and-whisker plots from given data sets. They analyze the data using the graphs as their guide.
Willow Tree
Approximating a Line of Best Fit
You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, and...
Curated OER
Lesson #46: Bar Graphs and Line Graphs
In this bar graphs and line graphs worksheet, learners interpret bar graphs, line graphs, and box-and-whisker plots. They find the measures of central tendency. This three-page worksheet contains notes, vocabulary, and...
Education Development Center
Points, Slopes, and Lines
Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...
Willow Tree
Line Graphs
Some data just doesn't follow a straight path. Learners use line graphs to represent data that changes over time. They use the graphs to analyze the data and make conclusions.
Curated OER
Mystery Liquids: Linear Function
High schoolers determine the linear equations of the density of water and oil by collecting data on the mass of various volumes of each liquid. They construct scatter plots from the data and use these to write the linear equations for...
Mathematics Vision Project
Modeling Data
Is there a better way to display data to analyze it? Pupils represent data in a variety of ways using number lines, coordinate graphs, and tables. They determine that certain displays work with different types of data and use...
Radford University
Connecting Scatter Plots and Correlation Coefficients Activity
Collect a variety of bivariate data. Groups determine sets of data that would provide a positive, negative, and no correlation. Team members gather their data through out the week. Scholars plot the data and determine the relationship...
Radford University
Can I Create a Line/Curve of Best Fit to Model Water Drainage?
Learners collect data on the amount of water left in a bottle over time. They graph the data to determine whether the scatter plot shows a curved or straight relationship. Group members then determine an equation for the curve of best...
EngageNY
Analyzing Residuals (Part 2)
Learn about patterns in residual plots with an informative math lesson. Two examples make connections between the appearance of a residual plot and whether a linear model is the best model apparent. The problem set and exit ticket...
EngageNY
Analyzing Residuals (Part 1)
Just how far off is the least squares line? Using a graphing calculator, individuals or pairs create residual plots in order to determine how well a best fit line models data. Three examples walk through the calculator procedure of...