Slope and Rate of Change Teacher Resources
Find Slope and Rate of Change educational ideas and activities
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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 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.
The rate of change is defined as how one quantity changes in relationship to another quantity. The instructor diagrams a graph and demonstrates how to use a formula to calculate the rate of change. It might take two viewings to catch all the nuances that the instructor goes through.
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.
Given a table of values, find the rate of change. First, set up the given table, and identify the values that will be used to calculate the change. Of course, there is a formula. So use the formula to solve the problem. Still confused? Watch this video and get a clear explanation of how to go step-by-step to find the rate of change.
Students explore the concept of slope. In this slope lesson, students discuss the concept of slope through this lecture style lesson. Students draw a picture on graph paper using straight lines. Students calculate the slope of the lines in their picture.
Ninth graders explore slope. For 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.
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.
In this algebra I/algebra II learning exercise, students determine the function that expresses the rate of change for the given situation. The two page learning exercise contains thirteen multi-step problems. Answers are included.
Students calculate the rate of change using the derivative. In this algebra lesson, 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.
Middle schoolers use a computer to complete activitites about slope. They find the slope of mountains, roofs, and stairs using rise over run. Pupils are shown different types of slopes and have to identify if the slope is positive, negative, undefined, or zero. Everyone calculates the slope of a line given two points.
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.
In this understanding slope worksheet, learners 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.
Find slope all around us and calculate the rate of change during this video that uses real-life situations. Your learners will start by creating a table to see how each change creates the pieces of slope. Plug that slope into your equation with the y-intercept and see if your mathematicians can translate it onto a graph. Very straightforward video that goes over the basics on how to find slope with two examples from start to finish.
With math all around us, your learners will see they can create an equation to model different situations. From fundraising to a cell phone plan, your mathematicians can find the starting point b, plug in the rate of change m, and create a slope-intercept equation they can use to depict their event. The video goes through three examples and reviews common words that represent math terms.
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.
Students 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.
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.
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.