Slope and Rate of Change Teacher Resources
Find Slope and Rate of Change educational ideas and activities
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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.
Learners investigate slopes as they apply it to the real world. In this algebra lesson plan, students calculate the slope using the slope formula. They analyze the rate of change as it applies to a work out regime, and graph their findings.
The instructor uses a graph representing time and distance to illustrate how to solve this word problem. She explains each step: rate of change, distance, time, vertical change over horizontal change, change in distance, and change in time. All of this to find the rate of change.
Math pupils calculate the average rate of change over a specific interval. They represent the average rate of change on a graph and examine the behavior of the graph for decreasing and increasing numerals.
Ninth graders explore slope. In this Algebra I lesson, 9th graders collect and analyze distance versus time data. Students investigate the relationship of rate of change and how it relates to slope.
Eleventh graders solve problems dealing with rate of change. In this algebra lesson plan, 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 investigate real-world situations that relate to slopes and rates of change, and determine the steepness of slopes by viewing and recording data. They, in groups, make paper airplanes and graph their rise and run during flight.
Tenth graders investigate slope of a line. In this algebra/Applied math lesson students use technology to explore linear equations in order to connect rate of change to slope of a line.
Third graders graph lines using slope and y-intercept. In this algebra lesson plan, 3rd graders define the rate of change and and discover how the rate of change in linear functions remains constant.
Students calculate the rate of change using the derivative. In this algebra activity, students identify the function over closed interval and identify the rate of change. They use correct notation and classify a function as increasing or decreasing.
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.
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 plan even contains extensions for more advanced topics of rate of change and derivatives.
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.
Students explore the concept of slope, rate of change, and slope-intercept form using a graphing calculator. For this graphing lesson, students graph lines with various slopes, rates of change, and in slope-intercept form.
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope versus varying rate of change.
Students examine a graph and relate it to the real world situation it depicts. They investigate changes in an equation and the appearance of a line. They investigate the connection between the graph of a situation and the meaning of the slope.
In this understanding slope learning exercise, 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.
This activity takes you from the basics of equations of lines (slope and intercepts) to scatter plots and lines of best fit. Interpret the slope using the context of the problem and use the regression line to extrapolate values. Included in the detailed lesson plans are a warm-up activity and a link for pre-lesson review on slopes of lines. Unfortunately, the link to the end of lesson PowerPoint evaluation does not work.
Students record the rates of change by using racing cars in graphs. In this rates of change lesson plan, students compare the slope of the racing car graphs.
Introducing slope as "a way of measuring the inclination of a line," Sal endeavors to provide a working knowledge of slope problems and problem solving. The video is framed as a review, but could be a good way to fill any holes in mathematical knowledge.