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# MAFS.912.N-RN.1.2

Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Subject Area: Mathematics
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
Assessed: Yes

### TEST ITEM SPECIFICATIONS

• Item Type(s): This benchmark may be assessed using: MC item(s)
• Also assesses:
MAFS.912.N-RN.1.1

MAFS.912.N-RN.2.3

• Assessment Limits :
Expressions should contain no more than three variables.

For N-RN.1.2, items should not require the student to do more than
two operations.

• Calculator :

Neutral

• Clarification :
Students will use the properties of exponents to rewrite a radical
expression as an expression with a rational exponent.

Students will use the properties of exponents to rewrite an
expression with a rational exponent as a radical expression.

Students will apply the properties of operations of integer exponents
to expressions with rational exponents.

Students will apply the properties of operations of integer exponents

Students will write algebraic proofs that show that a sum or product
of two rational numbers is rational; that the sum of a rational number
and an irrational number is irrational; and that the product of a
nonzero rational number and an irrational number is irrational.

• Stimulus Attributes :
Items should be set in a mathematical context.
• Response Attributes :
Items may require the student to complete an algebraic proof.

Items may require the student to determine equivalent expressions
or equations.

Responses with square roots should require the student to rewrite
the square root so that the radicand has no square factors

### SAMPLE TEST ITEMS (1)

• Test Item #: Sample Item 1
• Question:

Jeremy determines that . Part of his work is shown. Which expression or equation should be placed in the blank to correctly complete Jeremy's work?

• Difficulty: N/A
• Type: MC: Multiple Choice