Curated OER
Discovering the Linear Relationship between Celsius and Fahrenheit
Middle schoolers discover the linear relationship between degrees Farenheit and degrees Celsius. They manually compute the slope and y-intercept of the line passing through points. They convert Celsius to Fahrenheit degrees.
Curated OER
Graphing Linear Equations with Two Variables
Can your class solve linear equations in two variables? They will be able to after they engage in this instructional activity. Individuals graph linear equations in two variables using slope and intercept and identifying the relationship...
EngageNY
Interpreting Correlation
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 instructional activity introduces the correlation coefficient by estimating and...
5280 Math
Step by Step
One step at a time! A seemingly linear relationship becomes an entirely new type of function. Young scholars build their understanding of step functions by completing a three-stage activity that incorporates multiple representations of...
Curated OER
US Airports, Assessment Variation
Determining relationships is all part of algebra and functions. Your mathematicians will decide the type of relationship between airports and population and translate what the slope and y-intercept represent. The problem is multiple...
Curated OER
Angle Relationships
Students investigate geometric relationship using conjecture about linear pairs and vertical angles. In this geometry lesson, students apply their theorems and previous geometry knowledge to solve for and find angles of linear pairs....
Kenan Fellows
Least Squares Linear Regression in R
The task? Determine the how effective hospitals are at reducing the rate of hospital-acquired infections. The method? Data analysis! Using an open source software program, individuals use provided data and create scatterplots to look for...
Illustrative Mathematics
Find the Change
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
Curated OER
Graphing Systems of Inequalities
Solve equations and graph systems of inequalities. Designed as a lesson to reinforce these concepts, learners revisit shading and boundaries along with solving linear inequalities.
Curated OER
Profitable Soda Stand
Am I making any money? Help learners determine if their fictitious soda stand is turning a profit. They graph linear equations using the slope and y-intercept and identify the best price to use to sell soda. They identify the domain and...
Illustrative Mathematics
Coffee by the Pound
This is a great exercise in graphing proportional quantities to interpret the unit rate as the slope of a graph. It is not easy for learners to understand what a unit rate is. When it is presented as the slope of a linear line graph,...
Illustrative Mathematics
Two-School Dance
Who's ready for the dance? When two middle schools combine for a dance, your learners' job is to calculate the ratio of girls attending. Provided with three different solutions, you can choose from setting up a ratio, linear equation, or...
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...
Curated OER
Barbie Bungee
Middle and high schoolers collect and analyze their data. In this statistics lesson, pupils analyze graphs for linear regression as they discuss the relationship of the function to the number of rubber bands and the distance of the...
Curated OER
Peter's Third String
Explore the solution to a word problem involving area and perimeter. Learners read and discuss how to approach the problem. In small groups, they determine the maximum area of a rectangle with a given perimeter using a piece of string....
Curated OER
Modeling Linear Relationships
Students graph lines using the slope and y-intercept. In this algebra lesson, students create data using tables and equations. They use their data to make predictions and draw conclusion.
Illustrative Mathematics
Baseball Cards
Here is a resource that demonstrates growth and the initial state of an equation. In this case, your class will be looking at baseball collections. How many baseball cards did the collector start out with, and how many were added or...
Illustrative Mathematics
Delivering the Mail
A mail truck travels the same amount of miles per day. It will be up to your algebra learners to find an equation for this mailman’s truck. One needs a good understanding of rate of change and the initial value for this model. The...
Curated OER
Linear Relationships - Standard Form
Students use a graphing calculator to examine the association between the data points and equation of a linear relationship. They write equations in standard form and then graph the equations using the slop-intercept form. Answer Key...
EngageNY
Solving Equations Involving Linear Transformations of the Coordinate Plane
How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...
EngageNY
Representations of a Line
Explore how to graph lines from different pieces of information. Scholars learn to graph linear functions when given an equation, given two points that satisfy the function, and when given the initial value and rate of change. They solve...
Illustrative Mathematics
Who Has the Best Job?
Making money is important to teenagers. It is up to your apprentices to determine how much two wage earners make with their after school jobs. Participants work with a table, an equation, and a graph and compare the two workers to see...
Curated OER
When Will We Ever Use This? Predicting Using Graphs
Here are a set of graphing lessons that have a real-world business focus. Math skills include creating a scatter plot or line graph, fitting a line to a scatter plot, and making predictions. These lessons are aimed at an algebra 1 level...
Illustrative Mathematics
DVD Profits, Variation 1
The idea in the resource is to understand the connections between proportional relationships, lines, and linear equations. To stay within the context of the standard, skip the part of the resource that solves with unit rates. Instead,...
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