Comparing Rational Functions and Simplified Functions

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What kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order to help find the point of discontinuity of the rational function. The lesson plan provides questions to use in order to determine the class's understanding.

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CCSS: Adaptable
Instructional Ideas

  • A projection device would be beneficial to project the guided practice pages as the teacher works them
Classroom Considerations

  • Emphasize that all rational functions do not have the denominator as a factor of the numerator
  • Point out that when the denominator is a factor of the numerator, the rational functions will simplify to a polynomial that can be graphed fairly easily

  • Warm-up problems are provided that relate the skills needed in order to be successful in the lesson
  • Answers are provided for worksheet, along with informal assessment questions
  • Vocabulary and definitions are included within the lesson plan

  • None