Interactive
CK-12 Foundation

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...
Lesson Plan
Curated OER

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.
Worksheet
Curated OER

Four Slant Asymptotes Problems

For Students 11th - Higher Ed
For this slant asymptotes worksheet, students calculate the slant asymptotes in four rational functions.  The solutions are not provided.
Lesson Plan
Curated OER

Hyperbolas: Sketching from the Equation

For Teachers 9th - Higher Ed
In this algebra worksheet, learners 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.
Lesson Plan
Curated OER

Graphing Rational Functions

For Teachers 9th - Higher Ed Standards
Learners complete an activity, included, of the information on asymptotes and intercepts. They also solve and complete eight questions on graphing rational functions, file included. Finally, pupils summarize vertical asymptotes,...
Worksheet
Curated OER

Rational Functions and Conics

For Students 11th - Higher Ed
In this math learning exercise, students practice the calculation of rational functions and conics. This learning exercise has 6 problems for the students to solve.
Worksheet
Curated OER

Math Worksheet: Graphs of Rations Functions (2)

For Students 11th
In this Algebra II worksheet, 11th graders examine a rational function as they determine the domain, vertical asymptotes, x- and y-intercepts and graph the function.  The two page worksheet contains five problems that relate to the...
Lesson Plan
Curated OER

Arithmetic Complex Numbers

For Teachers 10th - 11th
Young scholars convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
PPT
Sophia Learning

Sophia: Slant Asymptotes: Lesson 2

For Students 9th - 10th Standards
This lesson explains how to determine the slant asymptotes of a given rational function. It is 2 of 10 in the series titled "Slant Asymptotes."
Unit Plan
Sophia Learning

Sophia: Slant Asymptotes: Lesson 3

For Students 9th - 10th Standards
This lesson explains how to determine the slant asymptotes of a given rational function. It is 3 of 10 in the series titled "Slant Asymptotes."
PPT
Sophia Learning

Sophia: Slant Asymptotes: Lesson 5

For Students 9th - 10th Standards
This lesson explains how to determine the slant asymptotes of a given rational function. It is 5 of 10 in the series titled "Slant Asymptotes."
Handout
Purple Math

Purplemath: Slant (Oblique)l Asymptotes

For Students 9th - 10th Standards
The functions and graphs of functions with oblique asymptotes are explained with a step-by-step description of how to find oblique asymptotes and gives examples.
Website
Cool Math

Coolmath: Rational Functions Horizontal Asymptotes (And Slants)

For Students 9th - 10th Standards
This CoolMath resource provides information about horizontal asymptotes, a type of rational function.
Website
Other

Xaktly: Rational Functions

For Students 9th - 10th Standards
On this site students explore the concept of rational functions. The site begins by looking at the parent function for all rational functions, which is a hyperbola. The other topics that are covered on the tutorial include horizontal...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Oblique Asymptotes

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students gain an understanding of oblique asymptotes of rational functions, and how to locate them. Students examine guided notes, review guided...
Activity
Cool Math

Coolmath: Graphing Rational Functions Horizontal and Slant (Oblique) Asymptotes

For Students 7th - 9th Standards
This algebra lesson explains how to find horizontal and slant (oblique) asymptotes when graphing rational functions.
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Graphs of Rational Functions

For Students 9th - 10th Standards
Use this tutorial to learn how to graph rational functions. Sample problems will guide you through finding the domain and asymptotes, and graphing the function on a coordinate plane.
Unknown Type
Math Notes and Math Tests

Pre Calculus Notes: Rational Functions [Pdf]

For Students 9th - 10th Standards
Students explore rational functions. Vertical asymptotes, horizontal asymptotes, slant asymptotes, and the zeros of a function are examined.
Activity
Texas Instruments

Texas Instruments: Graphing Rational Functions

For Teachers 9th - 10th Standards
The activity summarizes vertical asypmtotes, horizontal asymptotes, slant asymptotes, x-intercepts, y-intercept of rational functions.
Handout
Other

Conejo Valley Unified School District: Rational Functions [Pdf]

For Students 9th - 10th Standards
Explains what rational functions are and their features. Describes transformations of rational functions, discontinuities for different types, and gives examples of how to solve problems involving discontinuities. Also discusses the...
Unit Plan
Other

Mr. Perez Online Math Tutor: Solving Rational Equations

For Students 9th - 10th
The mathematics tutorial investigates how to simplify rational equations, find the least common denominator as well as how to solve rational equations. There are notes, examples and an interactive applet as well as a vocabulary puzzle.