Rational Exponents—What are 2^1/2 and 2^1/3?

Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic manipulations. The lesson plan continues on to investigate b^(1/n) and b^(m/n).

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CCSS: Designed
Instructional Ideas

  • Have scholars create a card-matching activity with rational exponents and radicals
Classroom Considerations

  • Learners need to know how to graph exponential functions and estimate values on a graph
  • Be sure to review properties of exponents before conducting the lesson

  • Lesson notes indicate where to look for mathematical practices during instruction
  • Resource includes printable student worksheets and an answer key

  • None