Type:

Lesson Plan

Description:

This lesson has students compare and contrast differences between rational functions to understand vertical asymptotes, horizontal asymptotes, and removable and non removable discontinuities.

Subjects:

  • Mathematics > General
  • Mathematics > Calculus
  • Mathematics > Equations
  • Mathematics > Graphing

Education Levels:

  • Grade 9
  • Grade 10
  • Grade 11
  • Grade 12

Keywords:

rational numbers rational number pre-calculus precalculus arithmetic algebra

Language:

English

Access Privileges:

Public - Available to anyone

License Deed:

Creative Commons Attribution 3.0

Collections:

Pre-Calculus
Update Standards?

CCSS.Math.Content.8.F.A.1: Common Core State Standards for Mathematics

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

CCSS.Math.Content.8.F.B.5: Common Core State Standards for Mathematics

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

CCSS.Math.Content.HSA-APR.B.3: Common Core State Standards for Mathematics

Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

CCSS.Math.Content.HSF-IF.B.4: Common Core State Standards for Mathematics

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.?

CCSS.Math.Content.HSF-IF.C.7a: Common Core State Standards for Mathematics

Graph linear and quadratic functions and show intercepts, maxima, and minima.

CCSS.Math.Content.HSF-IF.C.7c: Common Core State Standards for Mathematics

Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

CCSS.Math.Content.HSF-IF.C.7e: Common Core State Standards for Mathematics

Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

CCSS.Math.Content.HSF-IF.C.9: Common Core State Standards for Mathematics

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
Curriki Rating
On a scale of 0 to 3
3
On a scale of 0 to 3

This resource was reviewed using the Curriki Review rubric and received an overall Curriki Review System rating of 3, as of 2009-07-03.

Component Ratings:

Technical Completeness: 3
Content Accuracy: 3
Appropriate Pedagogy: 3

Reviewer Comments:

This is a set of exploring activities more than a lesson plan and it covers an entire unit on rational expressions. For each example, it invites the student to explore a rational function and make a generalization about its behavior. This exercise will take more than one class period or homework day to complete.

Not Rated Yet.

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