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.
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: 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."
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."
Other
Nearpod: What Is Slope?
In this activity on slope, students explore how the rate of change can be identified using a graph, a set of points, and a table.
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.
Texas Instruments
Texas Instruments: Math Today for Ti Navigator System More of u.s.
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...
University of Texas at Austin
Mathematics Teks Toolkit: What's Your Rate of Change?
In this lesson, learners use an electronic data collector to write the equation of a line.
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...
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: Math Today for Ti Navigator System: More Students Apply Early
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...
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Ph Et: Function Builder
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.
Texas Instruments
Texas Instruments: Animal Skin Adventure 6
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...
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...
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.
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.
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: A Day at the Beach Adventure 9
Students compare the heating rates of wet sand and dry sand and study the effect of evaporation on heating rates. They create, interpret and analyze graphs of data. They also relate slope to rate of change.
Texas Instruments
Texas Instruments: Active Wear Adventure 10
In this adventure, students test which solar collector--black, white, or silver-- absorbs the most heat. They compare the difference between absorption and reflection. They create, interpret and analyze graphs of data. They also relate...