Sophia Learning
Sophia: Find Slope and Rate of Change
This learning tutorial demonstrates how to find the slope of a line and the rate of change for a table. The lesson includes several PowerPoint presentations about slope and even provides practice problems for students to test their...
Texas Instruments
Texas Instruments: Linear Functions: Slope as Rate of Change
Students learn to associate the slope of a straight line with a constant rate of change. They also learn to calculate the rate of change from data points on a line, using the correct units. Students also learn to read from a linear...
Paul Dawkins
Paul's Online Notes: Tangent Lines and Rates of Change: Practice Problems
This section introduces two problems: rate of change of a function and tangent lines to functions. Both of these problems will be used to introduce the concept of limits.
Sophia Learning
Sophia: Slope and Constant Rate of Change: Lesson 3
This lesson explains how slope is related to constant rate of change for linear functions. It is 3 of 5 in the series titled "Slope and Constant Rate of Change."
Texas Education Agency
Texas Gateway: Developing the Concept of Slope
Given multiple representations of linear functions, the student will develop the concept of slope as a rate of change.
CK-12 Foundation
Ck 12: Analysis: Average Rate of Change
[Free Registration/Login may be required to access all resource tools.] Defining average rate of change and evaluating simple examples
Texas Instruments
Texas Instruments: Rate of Change
This activity is designed for students who have already learned the definition of the derivative and that it can be used to determine the slope of a curve. (Continued. See "before the activity.")
CK-12 Foundation
Ck 12: Algebra: Rates of Change
[Free Registration/Login may be required to access all resource tools.] Find the rate of change associated with real-world scenarios.
Illustrative Mathematics
Illustrative Mathematics: F if Temperature Change
In this task, students examine the average rate of change of the temperature in Tucson, Arizona hours after midnight. Aligns with F-IF.B.6.
Rice University
Rice University: Cynthia Lanius: Stressed Out: Slope as Rate of Change
This site may be used as a lesson for understanding graphs of functions and goes into slopes of a curve. The site helps students notice when a slope of a curve is increasing and decreasing and general interpretations of graphs.
CK-12 Foundation
Ck 12: Algebra: Rates of Change
[Free Registration/Login may be required to access all resource tools.] Learn how to solve problems involving rates of change.
Other
Nearpod: What Is Slope?
In this lesson on slope, young scholars explore how the rate of change can be identified using a graph, a set of points, and a table.
Department of Defense
Do Dea: Average Rates of Change
This document looks at look at the difference between averages and instantaneous rates of change. Formulas are provided for average speed, instantaneous speed, the slope of a secant line, the slope of a tangent, and the slope of a curve...
Math Graphs
Houghton Mifflin: Math Graphs: Average Rate of Change 3 [Pdf]
The handout explores the relationship between the average rate of change and the slope of the tangent line. The exercise is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Average Rate of Change 2 [Pdf]
Students use a given graph to investigate the average rate of change and slope of the tangent line. The practice problem is available in PDF format.
Sophia Learning
Sophia: Finding Rates of Change in Linear Relationships: Lesson 3
This lesson demonstrates how to find the rate of change in functions with linear relationships. It is 3 of 5 in the series titled "Finding Rates of Change in Linear Relationships."
Sophia Learning
Sophia: Finding Rate of Change: Lesson 4
This lesson demonstrates how to determine the rate of change between two points on a graph. It is 4 of 5 in the series titled "Finding Rate of Change."
Khan Academy
Khan Academy: Interpreting Slope and Y Intercept of Lines of Best Fit
Practice explaining the meaning of slope and y-intercept for lines of best fit on scatter plots. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Anne Arundel Community College
Anne Arundel Community College: Math 131: Slope
The tutorial examines the slope of a line. Students learn about the mathematics concept through definitions and detailed examples.
Math Graphs
Houghton Mifflin: Math Graphs: Differential Equation and Slope Field [Pdf]
Students use a given differential equation and slope field to answer questions regarding the general solutions and rate of change of the differential equation. The exercise is available in PDF format.
Texas Instruments
Texas Instruments: A Steep Hike Adventure 3
Students use the CBR 2 to gather distance and time data for various walking speeds. They observe the effect of change in direction and speed of motion on distance versus time graphs. Students interpret and analyze graphs, calculate slope...
Texas Instruments
Texas Instruments: Walking the Line
In this activity, students use linear functions to model and solve problems in situations with slope and a constant rate of change. They learn to represent situations with variables in expressions, equations, and inequalities and use...
Texas Instruments
Texas Instruments: Sack Race
The primary focus should be on slope as rate of change and piecewise functions. This activity allows exploration of multiple types of slope; i.e., positive slope, negative slope, or zero slope for students to build their understanding of...
Illustrative Mathematics
Illustrative Mathematics: 8.ee Stuffing Envelopes
Eighth graders are asked to compare the income earned from two summer jobs stuffing envelopes. They are to draw graphs, write equations, and interpret the graphs. This task provides students with an opportunity to take the step from unit...