Mathalicious
Domino Effect
Carryout the lesson to determine the cost of pizza toppings from a Domino's Pizza® website while creating a linear model. Learners look through real data—and even create their own pizza—to determine the cost of each topping. They...
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...
Teach Engineering
Forms of Linear Equations
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...
EngageNY
Comparing Linear and Exponential Models Again
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
BW Walch
Creating and Graphing Linear Equations in Two Variables
This detailed presentation starts with a review of using key components to graph a line. It then quickly moves into new territory of taking these important parts and teasing them out of a word problem. Special care is...
Flipped Math
Calculus AB/BC - Using the Mean Value Theorem
At some point the rate of change must be the average. Pupils first see the definition of the Mean Value Theorem and hear an explanation of it in simple terms. The helpful video then compares the Mean Value Theorem with the Intermediate...
Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways...
EngageNY
The Computation of the Slope of a Non-Vertical Line
Determine the slope when the unit rate is difficult to see. The 17th part of a 33-part series presents a situation that calls for a method to calculate the slope for any two points. It provides examples when the slope is hard to...
CK-12 Foundation
Comparison of Unit Rates: Drive Away
Five questions make up an interactive that challenges mathematicians to compare unit rates. Word problems question scholars about two friends going on a road trip. Scholars manipulate two cars on a coordinate plane to help solve word...
Curated OER
Heart Rate Monitoring
Algebra learners like this resource because it is easy to understand and it relates to their lives. Whether you are starting a new workout routine, or just climbing the stairs, your heart rate increases and decreases throughout the day....
Curated OER
The Slope of a Line
Students define the slope of a line as rate of change. They investigate positive, negative, zero, or undefined slope using a graphing calculator. They determine the slope of a line when given the equation of the line.
Virginia Department of Education
The Submarine
Submerge yourself in the study of slope. Scholars investigate a situation involving slope and the rate of change of a submarine. An additional example further explores the concept of slope by changing one of the conditions of the submarine.
Curated OER
Slope & Rate of Change
This short handout addresses the concept of slope in two different ways: geometrically and analytically. Start with a brief description of slope, then use graphical representations to compare positive vs. negative slope and zero vs....
Virginia Department of Education
Slippery Slope
Explore slope using geometric patterns. Young mathematicians investigate towers built from cubes to develop a linear pattern. They move the data to a coordinate plane to connect the pattern to slopes.
Curated OER
Introducing y = mx + b
Middle and high schoolers use the slope intercept form to graph a line. In this algebra lesson, pupils rewrite equations from standard form to y-intercept form. They use the slope and y-intercept to graph a line without making a table of...
Curated OER
Drug Sales Soar - Rate of Change
For this prescription drug worksheet, students answer short answer questions and create graphs on the sales of prescription drugs over a five year span. Students complete six questions.
101 Questions
Snow Day
Who doesn't like a snow day? Learners watch a snow accumulation over a span of 10 hours. They use that information to make a prediction of the total snow that fell during the 23-hour snowfall. Will it be enough to cancel school?
Mathematics Common Core Toolbox
Golf Balls in Water
Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...
Curated OER
Introducing Linear Terminology
Ninth graders graph linear equations and inequalities in two variables and then, they write equations of lines and find and use the slope and y-intercept
of lines. They use linear equations to model real data and define to define the...
West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
Charleston School District
Increasing, Decreasing, Max, and Min
Roller coaster cars traveling along a graph create quite a story! The lesson analyzes both linear and non-linear graphs. Learners determine the intervals that a graph is increasing and/or decreasing and to locate maximum and/or...
Curated OER
Forces and Graphing
Middle schoolers analyze graphs to determine relationships between variables and rates of change. They determine the basic concepts about static reaction forces. They determine the slope and equation of a line.
Curated OER
Slope
Studying slope? This one page worksheet has it covered! Learners use graphs and coordinates to find slope and also use slope to find a missing coordinate of a point on a line. The lesson also includes a real-world example that asks...
Curated OER
Graphing Lines That Don't "Fit"
How can you graph lines that don't seem to fit on the given graph? What makes a line straight? What does the rate of change mean when graphing a line? How do you know if a slope is positive or negative? How do you know if the graph of a...