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Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Standard #: MAFS.912.N-RN.1.2Archived Standard
Standard Information
General Information
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Number & Quantity: The Real Number System
Cluster: Level 1: Recall
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.
Date Adopted or Revised: 02/14
Content Complexity Rating: Level 1: Recall - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes
Related Courses
Related Resources
Formative Assessments
  • Rational Exponents - 4 # Students are asked to rewrite expressions involving radicals and rational exponents in equivalent forms.
  • Rational Exponents - 2 # Students are asked to convert numerical expressions from exponential to radical form.
  • Rational Exponents - 3 # Students are asked to convert a product of a radical and exponential expression to a single power of two.
  • Rational Exponents - 1 # Students are asked to convert numerical expressions from radical to exponential form.
Lesson Plans
  • Simply Radical! # Students will simplify and perform operations on radical expressions. Pairs of students will work on problems at different complexity levels that lead to the same solution. The students will challenge each other to prove their solutions are correct. This activity does not address rational exponents.
  • Manipulating Radicals # This lesson unit is intended to help you assess how well students are able to:
    • Use the properties of exponents, including rational exponents, and manipulate algebraic statements involving radicals.
    • Discriminate between equations and identities.
    There is also an opportunity to consider the role of the imaginary number Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'., but this is optional.
Original Student Tutorials
Problem-Solving Tasks
  • Checking a Calculation of a Decimal Exponent # In this example, students use properties of rational exponents and other algebraic concepts to compare and verify the relative size of two real numbers that involve decimal exponents.
  • Rational or Irrational? # This makes for a good follow-up task on rational irrational numbers after the students have been acquainted with some of the more basic properties, asking students to reason about rational and irrational numbers (N-RN.3) in a variety of ways. In addition to eliciting several different types of reasoning, the task requires students to rewrite radical expressions in which the radicand is divisible by a a perfect square.
Tutorial
Unit/Lesson Sequence
  • Sample Algebra 1 Curriculum Plan Using CMAP #
    This sample Algebra 1 CMAP is a fully customizable resource and curriculum-planning tool that provides a framework for the Algebra 1 Course. The units and standards are customizable and the CMAP allows instructors to add lessons, worksheets, and other resources as needed. This CMAP also includes rows that automatically filter and display Math Formative Assessments System tasks, E-Learning Original Student Tutorials and Perspectives Videos that are aligned to the standards, available on CPALMS. Learn more about the sample Algebra 1 CMAP, its features and customizability by watching the following video:

    Using this CMAP

    To view an introduction on the CMAP tool, please . To view the CMAP, click on the "Open Resource Page" button above; be sure you are logged in to your iCPALMS account.To use this CMAP, click on the "Clone" button once the CMAP opens in the "Open Resource Page." Once the CMAP is cloned, you will be able to see it as a class inside your iCPALMS My Planner (CMAPs) app. To access your My Planner App and the cloned CMAP, click on the iCPALMS tab in the top menu.All CMAP tutorials can be found within the iCPALMS Planner App or at the following URL: http://www.cpalms.org/support/tutorials_and_informational_videos.aspx
Video/Audio/Animations
  • Rational Exponents # Exponents are not only integers and unit fractions. An exponent can be any rational number expressed as the quotient of two integers.
  • Simplifying Radical Expressions # Radical expressions can often be simplified by moving factors which are perfect roots out from under the radical sign.
MFAS Formative Assessments
  • Rational Exponents - 1 # Students are asked to convert numerical expressions from radical to exponential form.
  • Rational Exponents - 2 # Students are asked to convert numerical expressions from exponential to radical form.
  • Rational Exponents - 3 # Students are asked to convert a product of a radical and exponential expression to a single power of two.
  • Rational Exponents - 4 # Students are asked to rewrite expressions involving radicals and rational exponents in equivalent forms.
Original Student Tutorials Mathematics - Grades 9-12
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