Lesson Plan

The Structure of Rational Expressions

Curated and Reviewed by Lesson Planet

Find out when rational expressions are closed. Pupils review adding, subtracting, multiplying, and dividing with rational numbers to make the connections to operations with rational expressions. Using specific examples, learners notice that rational expressions seemed to be closed under the operations. The class then participates in a discussion on showing that all rational expressions are closed under addition, subtraction, multiplication, and division.

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CCSS: Designed
Additional Tags
Instructional Ideas
  • Conduct a mini-lesson on what it means for a set to be closed
  • Spend additional time on the discussion showing closure; teachers may want to write the numerator and denominator as a general polynomial instead of just a single variable
Classroom Considerations
  • Requires learners to have a knowledge of operations with rational expressions
  • Ninth installment in a series of 23 Precalculus lessons
Pros
  • Provides detailed solutions that include the work
  • Includes an exit ticket to check for understanding
Cons
  • None
Common Core