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Rational Functions Lesson PlanRational Functions Lesson Plan
Publisher
EngageNY
Resource Details
Curator Rating
Educator Rating
Not yet Rated
Grade
11th - 12th
Subjects
Math
1 more...
Resource Type
Lesson Plans
Audience
For Teacher Use
Duration
45 mins
Instructional Strategies
Collaborative Learning
3 more...
Year
2015
Usage Permissions
Creative Commons
BY-NC-SA: 3.0
cc
Language
English, Arabic
Lesson Plan

Rational Functions

Curated and Reviewed by Lesson Planet
This Rational Functions lesson plan also includes:
  • Teacher Version (.docx)
  • Student Version (.pdf)
  • Student Version (.docx)
  • Precalculus Module 3: Teacher Materials (.pdf)
  • Precalculus Module 3: Student Materials (.pdf)
  • Precalculus Module 3: Copy Ready Materials (.pdf)
  • Precalculus Module 3 (.html)
  • Assessment
  • Answer Key
  • Join to access all included materials

Make a connection between rational expressions and rational functions. Pupils review simplifying and performing operations on rational expressions and recall what it means for two rational expressions to be equivalent based on their domains. They then learn about rational functions as the quotient of two polynomial functions and identify them and find their domains.

4 Views 5 Downloads
CCSS: Designed

Concepts

rational functions, domain, rational expressions, simplify rational expressions, factoring, factoring polynomials

Additional Tags

math

Instructional Ideas

  • Create a matching game that requires matching a rational function to a domain

Classroom Considerations

  • Individuals should be comfortable with factoring polynomials
  • Requires knowledge of operations on rational functions
  • Fits as the 12th installment in a series of 23

Pros

  • Provides suggestions for scaffolding different sections of the instruction
  • Contains an exit ticket to use to check for understanding

Cons

  • None

Common Core

MP6 MP7 HSA-APR.D.7 HSF-IF.C.9

See similar resources:

Worksheet

Graph, Identify Asymptotes, Find Domain and Range, for Eleven Simple Rational Functions

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Using this worksheet, pupils graph 11 simple rational functions. They also find asymptotes, domain, and range for each function. The solutions are provided.
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Assessment

Graphing Rational Functions

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The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...
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Instructional Video

Another Rational Function Graph Example, Algebra II

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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.
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Instructional Video

Example: Two-Step Equations, Linear Equations, Algebra I

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Sal adds a few more steps to these problems as he solves algebraic equations with two steps, though he states that "there's more than one way to do it." Those who become confused by increasingly complicated algebra problems on a test...
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Instructional Video

Finding the Greatest Common Factor of Two Monomials, Algebra I

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Instructional Video

What is a Rational Function?

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A rational function can be written as a ratio of two polynomials. There are a couple of rules concerning the denominator so watch this video and find out what they are.
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Interactive

Analyzing the Graphs of Functions: Analyzing a Rational Function

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Shift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals of...
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Lesson Plan

Graphs of Rational Functions

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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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Instructional Video

How Do You Graph a Rational Function by Making a Table?

Curated OER
Make a table to graph a rational equation. Make a list of values for x and plug them into the expression to get the y value. Then plot the ordered pairs on a graph. Hey, this graph looks funny! Something about asymptotes. Watch closely...
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Instructional Video

How Do You Find the Slope of a Line from Two Points?

Curated OER
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.
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