Curated OER
Comparison of Univariate and Bivariate Data
Learners explore the concept of univariate and bivariate data. In this univaritate and bivariate data lesson, pupils discuss the differences between univariate and bivariate data. They work sample problems where they must construct box...
University of Utah
Statistics-Investigate Patterns of Association in Bivariate Data
Young mathematicians construct and analyze patterns of association in bivariate data using scatter plots and linear models. The sixth chapter of a 10-part eighth grade workbook series then prompts class members to construct and interpret...
EngageNY
Summarizing Bivariate Categorical Data
How do you summarize data that cannot be averaged? Using an exploratory method, learners complete a two-way frequency table on super powers. The subject matter builds upon 8th grade knowledge of two-way tables.
EngageNY
Summarizing Bivariate Categorical Data in a Two-Way Table
Be sure to look both ways when making a two-way table. In the lesson, scholars learn to create two-way tables to display bivariate data. They calculate relative frequencies to answer questions of interest in the 14th part of the series.
EngageNY
Summarizing Bivariate Categorical Data with Relative Frequencies
It is hard to determine whether there is a relationship with the categorical data, because the numbers are so different. Working with a familiar two-way table on super powers, the class determines relative frequencies for each cell and...
Curated OER
Describing Data
Your learners will practice many ways of describing data using coordinate algebra in this unit written to address many Common Core State Standards. Simple examples of different ways to organize data are shared and then practice problems...
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 two-way...
Flipped Math
Unit 5 Review: Bivariate Data
The data says it's a wrap. Pupils work through four review questions with multiple parts dealing with bivariate data. Questions cover creating and interpreting two-way tables and scatter plots with lines of best fit. Scholars finish up...
EngageNY
Analyzing Data Collected on Two Variables
Assign an interactive poster activity to assess your class's knowledge and skill concerning data analysis. The teacher reference provides solid questions to ask individuals or groups as they complete their posters.
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...
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Target J
Look at patterns in bivariate data. Eight sample items illustrate the eighth grade statistics and probability standards. The Smarter Balanced Sample multiple-choice items focus on numerical and categorical bivariate data. The slide show...
American Statistical Association
EllipSeeIt: Visualizing Strength and Direction of Correlation
Seeing is believing. Given several bivariate data sets, learners make scatter plots using the online SeeIt program to visualize the correlation. To get a more complete picture of the topic, they research their own data set and perform an...
Charleston School District
Two-Way Tables
Do males or females buy more iPhones? Using a two-way frequency table can help to answer this question. Pupils learn to create two-way frequency tables and then how to analyze the data within the tables. Learners find frequencies,...
Curated OER
8.SP.1Texting and Grades I
Here is a fitting question for middle schoolers to consider: Is there a relationship between grade point average and frequency of sending texts? Starting statisticians examine a scatter plot and discuss any patterns seen.
EngageNY
Linear Models
Expand your pupils' vocabulary! Learn how to use statistical vocabulary regarding linear models. The lesson teaches scholars the appropriate terminology for bivariate data analysis. To complete the module, individuals use linear...
Shodor Education Foundation
Regression
How good is the fit? Using an interactive, classmates create a scatter plot of bivariate data and fit their own lines of best fit. The applet allows pupils to display the regression line along with the correlation coefficient. As a final...
Inside Mathematics
Population
Population density, it is not all that it is plotted to be. Pupils analyze a scatter plot of population versus area for some of the states in the US. The class members respond to eight questions about the graph, specific points and...
Charleston School District
Constructing Scatter Plots
Having more letters in your name helps you get a better grade in your math class—or does it? Learners create scatter plots to organize data. The lesson places emphasis on determining scale and intervals and labeling axis.
Virginia Department of Education
Linear Curve of Best Fit
Is foot length to forearm length a linear association? The class collects data of fellow scholars' foot length and the length of their forearms. They plot the data and find a line of best fit. Using that line, they make predictions of...
EngageNY
Using Linear Models in a Data Context
Practice using linear models to answer a question of interest. The 12th installment of a 16-part module combines many of the skills from previous lessons. It has scholars draw scatter plots and trend lines, develop linear models, and...
Charleston School District
Analyzing Scatter Plots
Scatter plots tell a story about the data — you just need to be able to read it! Building from the previous lesson in the series where learners created scatter plots, they now learn how to find associations in those scatter plots. They...
Concord Consortium
Gestation and Longevity
Is the gestation length of an animal a predictor of the average life expectancy of that animal? Learners analyze similar data for more than 50 different animals. They choose a data display and draw conclusions from their graphs.
Teach Engineering
The Challenge Question
A research position becomes a modeling job. The introductory lesson in a series of nine presents the challenge of analyzing a set of bivariate data. The class brainstorms what the data may represent. Pupils must decide what is needed to...
EngageNY
End-of-Module Assessment Task: Grade 8 Module 6
Test your knowledge of linear functions and models. The last installment of a 16-part module is an end-of-module assessment task. Pupils solve multi-part problems on bivariate data based on real-world situations to review concepts from...