Lesson Plan
EngageNY

Interpreting Correlation

For Teachers 9th - 10th Standards
Is 0.56 stronger than -0.78? Interpret the correlation coefficient as the strength and direction of a linear relationship between two variables. An algebra lesson introduces the correlation coefficient by estimating and then...
Lesson Plan
2
2
Teach Engineering

Forms of Linear Equations

For Teachers 7th - 9th Standards
Linear equations are all about form. The fifth part in a unit of nine works with the different equivalent forms of linear equations. Class members become familiar with each form by identifying key aspects, graphing, and converting...
Interactive
National Council of Teachers of Mathematics

Geogebra: Residuals and Linear Regression

For Students 9th - 12th Standards
If the line fits, use it. Using a Geogebra interactive, pupils plot points and try to find the best fit line. They assess the linear fit by analyzing residuals. A radio button allows participants to show the regression line and the...
Instructional Video22:17
2
2
Flipped Math

Correlation

For Students 9th - 10th Standards
Determine how close the line is to the scatter plot. Clear video instruction shows how to plot a scatter plot and find the best fit line using the linear regression function on a calculator. Pupils use the information from the calculator...
Activity
US Department of Commerce

Educational Attainment and Marriage Age - Testing a Correlation Coefficient's Significance

For Teachers 11th - 12th Standards
Do women with college degrees get married later? Using a provided scatter plot of the percentage of women who earn bachelor's degrees and the median age at which women first get married over time, pupils conduct a linear regression...
Lesson Plan
Virginia Department of Education

Linear Modeling

For Teachers 8th - 11th Standards
An inquiry-based algebra lesson explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the...
Activity
1
1
Teach Engineering

Linear Regression of BMD Scanners

For Students 9th - 12th Standards
Objects may be more linear than they appear. Scholars investigate the relationship between the number of bone mineral density scanners in the US and time. Once they take the natural logarithm of the number of scanners, a linear...
Lesson Plan
2
2
Teach Engineering

Applications of Linear Functions

For Teachers 7th - 9th Standards
It's not so straightforward — lines can model a variety of applications. Pupils experience linear relationships within the context of science, including Hooke's and Ohm's Laws. Class members got a taste of motion and speed from the...
Interactive
Shodor Education Foundation

Regression

For Students 9th - 12th Standards
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...
Unit Plan
Curated OER

GSE Foundations of Algebra: Equations and Inequalities

For Students 7th - 9th
Need lessons on writing and solving one- and two-step linear equations and inequalities, as well as systems of equations? This comprehensive 106-page module from the Georgia Department of Education contains many different lessons for a...
Assessment
Inside Mathematics

House Prices

For Teachers 8th Standards
Mortgages, payments, and wages correlate with each other. The short assessment presents scatter plots for young mathematicians to interpret. Class members interpret the scatter plots of price versus payment and wage versus payment for...
Unit Plan
Mathematics Vision Project

Module 8: Modeling Data

For Teachers 8th - 10th Standards
Statistics come front and center in this unit all about analyzing discrete data. Real-world situations yield data sets that the class then uses to tease out connections and conclusions. Beginning with the basic histogram and...
Lesson Plan
Willow Tree

Approximating a Line of Best Fit

For Students 9th - 12th Standards
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...
Lesson Plan
EngageNY

Patterns in Scatter Plots

For Teachers 8th Standards
Class members investigate relationships between two variables in the seventh installment of a 16-part module that teaches scholars how to find and describe patterns in scatter plots. Young mathematicians consider linear/nonlinear...
Assessment
EngageNY

End-of-Module Assessment Task: Grade 8 Module 6

For Students 8th Standards
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...
Handout
Charleston School District

Analyzing Scatter Plots

For Students 8th - 9th Standards
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....
Performance
Radford University

At the Gas Pump

For Teachers 9th - 12th Standards
Given the price of crude oil, gasoline, and diesel for the past several years, pupils plot the data to determine whether a correlation exists. Learners determine a regression line and predict the price of gasoline and diesel in the...
Lesson Plan
EngageNY

Modeling a Context from Data (part 2)

For Teachers 9th - 10th Standards
Forgive me, I regress. Building upon previous modeling activities, the class examines models using the regression function on a graphing calculator. They use the modeling process to interpret the context and to make predictions...
Assessment
1
1
Inside Mathematics

Coffee

For Teachers 9th - 12th Standards
There are many ways to correlate coffee to life, but in this case a learning exercise looks at the price of two different sizes of coffee. It requires interpreting a graph with two unknown variables, in this case the price, and...
Unit Plan
Mathematics Vision Project

Modeling Data

For Teachers 9th - 10th Standards
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...
Assessment
EngageNY

Mid-Module Assessment Task: Grade 8 Module 6

For Students 8th Standards
Make sure pupils have the skills to move on to the second half of the module with a mid-module assessment task. The formative assessment instrument checks student learning before moving on to the rest of the lessons in the unit.
Lesson Plan
1
1
Teach Engineering

Coordinates and the Cartesian Plane

For Teachers 7th - 9th Standards
The plot thickens to get a functional understanding. After a short review of plotting points on the coordinate plane, class members learn the difference between functions and relations in the second lesson in a series of nine. They...
Lesson Plan
EngageNY

Informally Fitting a Line

For Teachers 8th Standards
Discover how trend lines can be useful in understanding relationships between variables with a lesson that covers how to informally fit a trend line to model a relationship given in a scatter plot. Scholars use the trend line to make...
AP Test Prep
College Board

2005 AP® Statistics Free-Response Questions

For Students 10th - 12th
A little context will go a long way. The six released free-response questions from the 2005 exam, show how AP® Statistics uses context within their problems. Pupils use the questions to practice their statistics skills within real-world...