Access Point #: MAFS.912.N-RN.1.AP.2aArchived 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).
General Information
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

This access point is an alternate version of the following benchmark(s).

Related Courses

This access point is part of these courses.
1200310: Algebra 1
1200320: Algebra 1 Honors
1200330: Algebra 2
1200340: Algebra 2 Honors
1200370: Algebra 1-A
1200400: Foundational Skills in Mathematics 9-12
1207310: Liberal Arts Mathematics
1206330: Analytic Geometry
1200410: Mathematics for College Success
1200700: Mathematics for College Algebra
7912060: Access Informal Geometry
7912070: Access Mathematics for Liberal Arts
7912080: Access Algebra 1A
7912090: Access Algebra 1B
1200315: Algebra 1 for Credit Recovery
1200335: Algebra 2 for Credit Recovery
1200375: Algebra 1-A for Credit Recovery
7912065: Access Geometry
7912075: Access Algebra 1
7912095: Access Algebra 2

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