Unit Plan
Sophia Learning

Sophia: Find Slope and Rate of Change

For Students 9th - 10th
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...
Activity
Texas Instruments

Texas Instruments: Linear Functions: Slope as Rate of Change

For Teachers 9th - 10th Standards
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...
Activity
Paul Dawkins

Paul's Online Notes: Tangent Lines and Rates of Change: Practice Problems

For Students 9th - 10th Standards
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.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Rates of Change

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Find the rate of change associated with real-world scenarios.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Average Rate of Change

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Defining average rate of change and evaluating simple examples
Activity
Texas Instruments

Texas Instruments: Rate of Change

For Teachers 9th - 10th
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.")
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Rates of Change

For Students 8th - 9th Standards
[Free Registration/Login may be required to access all resource tools.] Learn how to solve problems involving rates of change.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Temperature Change

For Teachers 9th - 10th Standards
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.
Activity
Rice University

Rice University: Cynthia Lanius: Stressed Out: Slope as Rate of Change

For Students 9th - 10th Standards
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.
Study Guide
Department of Defense

Do Dea: Average Rates of Change

For Students 9th - 10th Standards
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...
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Average Rate of Change 3 [Pdf]

For Students 9th - 10th Standards
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.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Average Rate of Change 2 [Pdf]

For Students 9th - 10th Standards
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.
PPT
Sophia Learning

Sophia: Slope and Constant Rate of Change: Lesson 3

For Students 9th - 10th Standards
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."
PPT
Sophia Learning

Sophia: Finding Rates of Change in Linear Relationships: Lesson 3

For Students 9th - 10th Standards
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."
Unit Plan
Sophia Learning

Sophia: Finding Rate of Change: Lesson 4

For Students 7th - 8th Standards
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."
Lesson Plan
Other

Nearpod: What Is Slope?

For Teachers 9th - 10th
In this instructional activity on slope, students explore how the rate of change can be identified using a graph, a set of points, and a table.
Unit Plan
Texas Education Agency

Texas Gateway: Developing the Concept of Slope

For Students 7th - 8th
Given multiple representations of linear functions, the student will develop the concept of slope as a rate of change.
Activity
Texas Instruments

Texas Instruments: Math Today for Ti Navigator System More of u.s.

For Teachers 9th - 10th
Using the USA TODAY Snapshot, "More of U.S.," students will learn how to interpret data presented in a graphical form. Students will determine the rate of change (slope) and build a linear model (y = mx + b) from this data. The model...
Lesson Plan
University of Texas at Austin

Mathematics Teks Toolkit: What's Your Rate of Change?

For Teachers 9th - 10th Standards
For this lesson, students use an electronic data collector to write the equation of a line.
Activity
Texas Instruments

Texas Instruments: Sack Race

For Teachers 9th - 10th
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...
Activity
Texas Instruments

Texas Instruments: Walking the Line

For Teachers 9th - 10th Standards
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...
Activity
Texas Instruments

Texas Instruments: Math Today for Ti Navigator System: More Students Apply Early

For Teachers 9th - 10th
Using the USA TODAY Infograph, "More students apply early," students will explore scatter plots and independent and dependent variables. Students will determine a best-fit regression model for the real-life data set and then use the...
Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Ph Et: Function Builder

For Students 9th - 10th Standards
Play with functions while you ponder Art History. Explore geometric transformations and transform your thinking about linear functions, then have fun figuring out the mystery functions.
Activity
Texas Instruments

Texas Instruments: Animal Skin Adventure 6

For Teachers 6th - 8th
In this adventure, students make two models to simulate the cooling rate of different skin surface areas and determine the effect of skin surface area on the results. Students graph temperature as a function of time, interpret, and...

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