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Slope and Rate of Change Teacher Resources
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Graphs tell a story, and in this activity learners explore different graphs.They analyze slope and rate of change from the graphs and answer questions about the information they represent. This lesson even contains extensions for more advanced topics of rate of change and derivatives.
It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing conclusions about the behavior of the function.It is a great lesson that foreshadows concepts of rate of change and tangent lines to a specific point on a curve that will be explored in future years.
Eleventh graders solve problems dealing with rate of change. For this algebra lesson, 11th graders graph their rate of change problems and analyze it comparing their data with each other. They solve problems dealing with percent and rate of change as it relates to other rate of change.
Students explore slope as a rate of change. In this eighth grade mathematics lesson, students investigate real-world problems to determine rate of change and transform it into a linear representation, thus determining slope. Students also create their own problems with technology.
Mathematicians apply the formula for line slope to determine the slope of stairs in their school. They work in small groups to take the appropriate measurements, perform the necessary calculations, and find the mean of their group slope calculations. They discuss the reasons why the slope calculations may be different.
In this understanding slope worksheet, students solve 13 various problems that are related to determining the slope of a line. First, they calculate the rate of change by analyzing the differences in the x- and y-values. Then, students determine which grows at a faster rate and create a graph to represent their data found, identifying which line on the graph is steeper.
Students navigate through a software program to learn about speed, distance, and time. In this measurement lesson, students identify and describe constant rates of change and compare them. Students make and test predictions about step sizes and finish times. Students analyze a graph of results.
A hands-on activity using the TI-CBR Motion Detector to provide information to graph and analyze. The class uses this information to calculate the slope of motion graphs and differentiate scalar and vector quantities. There is a real-world activity of a Roof Manufacturer's Test in regards to the pitch of roofs, as well as several other real-world scenarios.