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...
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.
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.")
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 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: 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...
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...
ClassFlow
Class Flow: Understanding Slope as a Ratio
[Free Registration/Login Required] Finished investigating slope as an angle and will now do some investigation with slope as a ratio. It will then be a bridge to go back to linear equations (with the connection to rate of change). There...
PBS
Pbs: The Lowdown: Poverty Trends: What Does It Mean to Be Poor in America?
Use math to learn about changes in US wealth distribution and poverty rate over time in this interactive from KQED. In the accompanying classroom activity, students interpret the graphs and consider how the poverty rate spike following...
Math Medics
S.o.s. Math: The Derivative
This lesson does a nice job of clarifying what it means to find a derivative. The lesson gives an algebraic method for finding the derivative using limits and offers a geometric interpretation of the derivative.
PBS
Pbs: The Lowdown: What You Need to Know About Immigration Reform
Interpret graphs showing changes over time in the percentage of foreign-born US residents and in annual deportations in this interactive from KQED. In the accompanying classroom activity, students use the interactive and look at how...
ClassFlow
Class Flow: Understanding Slope
[Free Registration/Login Required] In this lesson students identify, interpret, and use the meaning of slope of a line as a rate of change using physical, symbolic, and technological models.
Math Graphs
Houghton Mifflin: Math Graphs: Slope of a Tangent Line 13 [Pdf]
The handout has students estimate the rate of change of the function at a given point. The exercise consists of a graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Slope of a Tangent Line 14 [Pdf]
The handout has students estimate the rate of change of the function at a given point. The handout consists of a graph available in PDF format.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Interpretacion Geometrica De La Derivada
In Spanish. This interactive unit seeks to familiarize you with the concepts of secant and tangent to a curve. You will be able to take a look at how the approximation is produced and understand the limit as a process that you can see...
Texas Instruments
Texas Instruments: Getting Started With the Ti Navigator: Exploring Change
This activity introduces students to Activity Center. In this activity, students will explore change in the context of cellular telephone charges. Students will create a scatter plot showing that the rate per minute for a "pay as you go"...
Alabama Learning Exchange
Alex: Graphing Is Great!
Students will explore graphing individually and in groups. They will also use an interactive activity to discuss slope and intercepts. To assess the lesson, students will use the floor tiles in the classroom as a large sheet of graph...
ClassFlow
Class Flow: Linear Equations
[Free Registration/Login Required] Connects what we have learned about slope as a ratio to linear equations. We had previously used the term rate of change, but can now connect it to the idea of slope. There are information pages and...