# Asymptote Teacher Resources

Find Asymptote lesson plans and worksheets

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EngageNY

#### EngageNY Precalculus and Advanced Topics Curriculum

A 5-module complete precalculus course begins with young mathematicians exploring linearity, complex number operations as transformation, and the power of the right notation. Module 2 has pupils examining incidence relationships in...

Lesson Planet

#### EngageNY Precalculus and Advanced Topics Module 3: Rational and Exponential Functions

In Module 3, precalculus students review the fundamental theorem of algebra, and then find roots of polynomials and roots of unity using polynomial identities, the binomial theorem, and Pascal’s Triangle. As part of their study of...

Lesson Planet

#### Horizontal and Vertical Asymptotes of Graphs of Rational Functions

Get close to your favorite line. Scholars use end behavior to help find horizontal asymptotes. With the understanding of domains of rational functions, learners find vertical asymptotes and then use graphing calculators to verify the...

Lesson Planet

#### Horizontal and Vertical Asymptotes: Rational Functions

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...

Lesson Planet

#### Vertical Asymptotes of Rational Functions

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...

Lesson Planet

#### Worksheet 7 - Asymptote

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.

Lesson Planet

#### Rational Functions: Intercepts, Asymptotes, and Discontinuity

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...

Lesson Planet

#### How to Find Horizontal Asymptotes

Is a vertical asymptote required to find the horizontal counterpart? By watching a video, scholars learn how to determine the horizontal asymptote of the graph of a rational function. They recognize that the degrees of the leading terms...

Lesson Planet

#### Calculus AB/BC - Infinite Limits and Vertical Asymptotes

New ReviewInfinite limits just got infinitely more interesting. The 15th of 18 installments in Unit 1 - Limits and Continuity looks at infinite limits and vertical asymptotes of rational functions. Scholars review how to determine the locations of...

Lesson Planet

#### Oblique Asymptotes: Rational Functions and Asymptotes

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.

Lesson Planet

#### Infinite Limit Type: Asymptotes and End Behavior Question

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...

Lesson Planet

#### How to Find Vertical Asymptotes!!

Ascertain the asymptotes. An informative video describes how to algebraically determine the locations of vertical asymptotes for the graphs of rational functions. Scholars see that they need to set the denominator equal to zero and solve...

Lesson Planet

#### How to Find Slant Asymptotes

Learn about slant asymptotes directly—not obliquely. Viewers of a short video discover how to determine a slant or oblique asymptote for a rational function. They see how to apply polynomial division to achieve this goal.

Lesson Planet

#### Calculus AB/BC - Limits at Infinity and Horizontal Asymptotes

New ReviewLearning about end behavior means it's close to the end of the unit. The 16th of 18 lessons in Unit 1 - Limits and Continuity has scholars watch a video to learn how limits at infinity can be used to determine horizontal asymptotes and...

Lesson Planet

#### Another Rational Function Graph Example

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.

Lesson Planet

#### Conic Sections: Hyperbolas 2

Here is an example in this video of graphing a hyperbola centered at the origin. First, Sal shows solving for the equations of the asymptotes and then shows how to determine the direction of the hyperbola. He takes the approach of not...

Lesson Planet

#### Asymptotes and Zeros

Learn how to explore rational functions and investigate the graphs rational functions and identify its singularities and asymptotes. Students approximate the solutions to rational equations and inequalities by graphing.

Lesson Planet

#### Conic Sections: Intro to Hyperbolas

In this video, Sal starts with the equation of a hyperbola by first comparing it to the equation of the circle, and ellipse. He then shows how to find the equation of the asymptotes by solving for y. He also shows a few intuitive ways to...

Lesson Planet

#### Conic Sections: Hyperbolas 2

Lesson Planet

#### Vertical Asymptotes: M=N and M=N+1

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.

Lesson Planet

#### Rational Functions

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...

Lesson Planet

#### Graphs of Rational Functions

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...

Lesson Planet

#### Polynomial and Rational Functions

This instructional activity 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...

Lesson Planet

#### Hyperbolas: Sketching from the Equation

In this algebra worksheet, students sketch graphs of hyperbolas after solving equations to standard form and interpreting the center, vertices, foci, axis, asymptotes, and eccentricity from the equation. There are 58 questions.