Asymptote Teacher Resources

Find Asymptote lesson plans and worksheets
Showing 1 - 24 of 251 resources
21:06
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Asymptotes of Rational Function

For Students 7th - 11th
Though longer than his other algebra videos at just over twenty-one minutes, this lesson is important for viewers to understand graphing rational functions and asymptotes. The most valuable part of the video is the way that Sal explains...
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Horizontal and Vertical Asymptotes: Rational Functions

For Students 9th - 12th Standards
Play with the graph of a rational function to discover the asymptote patterns. Young scholars use the interactive lesson to discover the relationship between the asymptotes and the function. As they manipulate the function, the graph...
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Asymptotes and Zeros

For Teachers 9th - 12th Standards
Learn how to explore rational functions and investigate the graphs rational functions and identify its singularities and asymptotes.  High schoolers approximate the solutions to rational equations and inequalities by graphing.
1 In 1 Collection
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Rational Functions: Intercepts, Asymptotes, and Discontinuity

For Students 10th - 12th Standards
Discover different patterns by making connections between a rational function and its graph. An engaging lesson asks scholars to explore the behavior of different rational functions. Groups discover a connection between the function and...
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Oblique Asymptotes: Rational Functions and Asymptotes

For Students 9th - 12th Standards
Examine the connection between rational functions and their graphs. Individuals use an online manipulative to sort equations with horizontal and oblique asymptotes. They focus on the degree of the numerator and denominator.
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Infinite Limit Type: Asymptotes and End Behavior Question

For Students 11th - Higher Ed Standards
There are an infinite number of reasons to use the resource. Scholars drag vertical and horizontal lines to the graph of a rational function to identify all asymptotes. They investigate the connection between asymptotes and limits to...
8:20
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Another Rational Function Graph Example

For Students 8th - 11th
Extending his asymptotes lesson from the previous video, Sal shows viewers another example of graphing rational functions. This video is shorter than the previous one and could be shown in a single class session.
11:31
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A third Example of Graphing a Rational Function

For Students 7th - 11th
Sal takes viewers through another example of graphing rational functions "because you really can't get enough practice here." Combined with the two previous videos on graphing rational functions and asymptotes, viewers will walk away...
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Worksheet 7 - Asymptote

For Teachers Higher Ed
In this asymptote worksheet, students compute limits, graph vertical asymptotes, and find the slope of the secant line. This one-page worksheet contains six multi-step worksheets.
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Exploring Vertical Asymptotes

For Teachers 9th - 12th Standards
Scholars identify the domain of a rational function in this precalculus lesson. They identify the removable discontinuity and label what will make the denominator zero. Learners also describe properties of the graph as it relates to the...
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Rational Functions

For Teachers 9th - 12th Standards
Through a mini assessment, students identify and list the vertical and horizontal asymptotes for the given rational functions and determine the type of asymptote of a given rational function. They also decide which form of a function...
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Graphs of Rational Functions

For Teachers 9th - 12th Standards
Take your kids on a tour of graphing rational functions. Using this TI lesson, high schoolers identify the end behavior of their functions. They find the domain and range, describe end behavior, and look at asymptotes and restrictions of...
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Polynomial and Rational Functions

For Teachers 10th - Higher Ed
This lesson looks at rational polynomial functions and their graphs. These activities will look into the function's zeros, and horizontal and vertical asymptotes. It contains a number of interesting critical thinking questions that take...
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Vertical Asymptotes of Rational Functions

For Teachers 9th - 11th
High schoolers factor rational expressions and identify the vertical asymptote of a rational function. They use the Ti to graph their function and factor polynomials. The lesson includes thorough scripting, procedures, and examples to...
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Graph, Identify Asymptotes, Find Domain and Range, for Eleven Simple Rational Functions

For Students 10th - 12th
Using this learning exercise, pupils graph 11 simple rational functions. They also find asymptotes, domain, and range for each function. The solutions are provided.
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Lesson 19: Rational Functions and Long Division

For Students 10th - 12th
Explore rational functions with this packet. A lot of information is provided, including several examples. Learners graph rational functions and find vertical, horizontal, and oblique asymptotes. This seven-page activity contains...
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Worksheet 28 - Functions

For Teachers Higher Ed
In this function worksheet, students identify functions which are their own derivative. They determine the vertical and horizontal asymptotes of functions. This one-page worksheet contains seven multi-step problems.
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Getting Closer

For Students 11th - 12th Standards
Flip the script! Reverse the situation and ask the class to find the function given asymptotes. The task requires class members to use their knowledge of functions and asymptotes to create functions that have a given asymptote or...
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Vertical Asymptotes: M=N and M=N+1

For Students 9th - 12th
In this algebra worksheet, students determine the vertical asymptotes for a given rational equation with the leading exponents following either of the cases: M = N or M = N + 1. There are 4 questions.
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Section 3.5 Worksheet: Intervals

For Students 10th - 12th
Intervals, asymptotes, domain, range, and functions, sounds like my type of fun. Your class can practice having algebra fun with this two-page worksheet. They sketch the graph of a given function, identify the domain, range and the...
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A Slant Asymptote

For Teachers 9th - 12th
In this slant asymptote worksheet, students solve 1 rational equation.  Students determine the slant asymptote of a rational equation.
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Horizontal Asymptotes: M=N, M>N

For Students 9th - 12th
In this algebra learning exercise, students calculate the horizontal asymptote for rational functions, whose leading exponents follow the rules: M = N or M > N. There are 4 questions.
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Infinite Limit Type: Properties of Limits

For Students 11th - Higher Ed Standards
Limits can provide some valuable information about graphs. A slider interactive lets learners see the behavior of a graph around asymptotes. They investigate relationships between limits and asymptotes.
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Horizontal Translations or Phase Shifts: Tangent

For Students 10th - 12th Standards
Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes before...

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