Access Point #: MAFS.912.N-RN.1.AP.2a (Archived Access Point)


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Convert from radical representation to using rational exponents and vice versa.

Clarifications:

Essential Understandings

Concrete:

Representation:
  • Understand the concepts, symbols, and vocabulary for: expression, exponent, raising to a power, radicand, root index, root, numerator, denominator, radical and exponent.
  • Simplify expression into expanded form: (begin mathsize 12px style x to the power of 4 end style)(begin mathsize 12px style x cubed end style) =(xxxx)(xxx).
  • Simplify expression into the simplest form: (begin mathsize 12px style x to the power of 4 end style)(begin mathsize 12px style x cubed end style) = (xxxx)(xxx)= (xxxxxxx)= begin mathsize 12px style x to the power of 7 end style.
  • Rewrite radicals as fractional exponents (e.g., begin mathsize 12px style cube root of x end style = begin mathsize 12px style x to the power of 1 divided by 3 end exponent end style).
  • Rewrite fractional exponents as radicals (e.g., begin mathsize 12px style x to the power of 1 divided by 3 end exponent end style = begin mathsize 12px style x to the power of 1 divided by 3 end exponent end style).

Number: MAFS.912.N-RN.1.AP.2a Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Extend the properties of exponents to rational exponents. (Algebra 1 - Major Cluster) (Algebra 2 - Major Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

Name Description
MAFS.912.N-RN.1.2: Rewrite expressions involving radicals and rational exponents using the properties of exponents.



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