Slope Teacher Resources
Find Slope educational ideas and activities
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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.
Here is the second video in a three-part series on determining the slope of a line. This presentation focuses on defining mathematical terminology and the step-by-step process needed to find the slope the goes through the ordered pairs (4, 2) and (-3, 16). This is a good introduction to the topic.
Middle schoolers explore the concept of slope in numerous ways and start to look at simple linear equations. They describe the slope in a variety of ways such as the steepness of a line, developing a ratio, using graphs, using similar triangles, and through ordered pairs. This instructional activity has an amazing collections of great ideas when it comes to exploring slope.
Learners discover a method for determining the slope of a line by creating and comparing similar triangles. They fold coordinate grids to make three similar triangles then measure the sides to compare the relationships between the triangles. The slope equation or rise over run is developed from these relationships.
Here is an introductory lesson to get a sense of the slope of a line, whether positive or negative, and the meaning of the y-intercept. Several examples of changes in slope are shown on a graph and the instructor relates it to how the equation changes to get that line.
Here is fairly basic video that takes three equations, each written in slope-intercept form, with the goal of determining whether the lines are parallel. Sal graphs each of the equations on the same coordinate plane to show how their slopes compare. The video assumes the listener has a basic knowledge of graphing lines in slope-intercept form and what it means for lines to be parallel.
Using a specific example, Sal shows how to find the equation of a tangent line to a given function at a specific point. Specifically, he solves the problem of finding the tangent line to the function f(x) = xex at x = 1. This problem provides a review of the product rule, slope-intercept form of a line, and steps for finding the equation of a line. It also, provides a nice visual understanding of the problem by graphing both the original equation and the found tangent line.
This video shows how to graph a linear equation in standard form. He shows three different examples where he changes each equation into slope-intercept form and graphs it. One of the examples is a line with a negative slope, one is a vertical line, and the last is a horizontal line.
Can you tell, algebraically, if three lines are parallel? In this video, Sal demonstrates how to rewrite linear equations in slope-intercept form and compare the slope of each line.
This video demonstrates how to tell algebraically whether lines are perpendicular. Using three different linear equations in different forms, each is rewritten in slope-intercept form, and their slopes are compared to show whether they are negative inverse of each other.
Given two points on a line, find the value for slope using the rise over run formula. Then find the y-intercept by plugging one of the point values into the equation of a line. Finally, put these values into the equation of a line y = mx+ b.
Viewers will learn how to graph lines, such as y=2x+1. The instructor emphasizes the relationship between the x and y variables, creates an x/y table, and finally graphs the equation. A total of three examples are given in this video.
Given a graphed line, can you find the slope of the line? In this video, Sal shows how to calculate the change in y over the change in x. He also shows how one can pick any two points on line and still calculate the same slope.
In this short video, Sal shows how to graph a line in slope-intercept form.
Students graph linear equations using slopes and intercepts. In this algebra instructional activity, students identify the slope as being positive,negative or undefined. They differentiate between different quadrants on a coordinate plane.
The teacher demonstrates how to plug in values from two given points to find the slope of a line. She uses the slope formula and goes through the problem step-by-step.
Students identify the slope of linear functions. In this slope lesson plan, students collect data and graph it. They write equations with no more than two variables and use technology to explain their data.
Tenth graders explore lines, circles and planes using CabriJr. In this technology lesson, 10th graders further their knowledge of geometric terms using CabriJr. This assignment requires the software CabriJr loaded onto the TI.
Twelfth graders investigate slope fields and Euler’s Method. In this calculus lesson, 12th graders explore the steps for programming slope fields on the TI-83 and Euler’s method for achieving a numerical solution to differential equations.
Pupils calculate the slope of a line. In this algebra instructional activity, students analyze lines and discuss positive, negative and no slope. They discuss undefined slopes, vertical and horizontal lines.