Access Point #: MAFS.912.A-SSE.1.AP.2a (Archived Access Point)


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Rewrite algebraic expressions in different equivalent forms, such as factoring or combining like terms.

Clarifications:

Essential Understandings

Concrete:

  • Add and subtract integers (e.g., use a number line or calculator to add -5 + 2).
  • Produce the correct amount of base numbers to be multiplied given a graphic organizer or template.
  • Use manipulatives to demonstrate what an exponent represents begin mathsize 12px style open parentheses e. g. comma space 8 cubed space equals space 8 space cross times 8 cross times 8 close parentheses. end style.
Representation:
  • Understand the following related vocabulary and symbols: add (+), subtract (-), multiply (×), divide (÷), equal (=), base number, exponent, integer.
  • Understand commutative, associative, identity, and distributive properties. 
  • Add, subtract, multiply, and divide variables. 
  • Understand the difference between coefficients and exponents. 
  • Combine coefficients. 
  • Combine exponents (rules of exponents). 
  • Select the correct expanded form of what an exponent represents begin mathsize 12px style open parentheses e. g. comma space 8 cubed space equals space 8 space cross times 8 cross times 8 close parentheses. end style
  • Identify the number of times the base number will be multiplied based on the exponent. 
  • Understand that a negative exponent will result in a fraction with a numerator of 1 begin mathsize 12px style open parentheses e. g. comma space 5 to the power of negative 2 end exponent space equals space 1 divided by 25 close parentheses. end style

Number: MAFS.912.A-SSE.1.AP.2a Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Interpret the structure of expressions. (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.A-SSE.1.2: Use the structure of an expression to identify ways to rewrite it. For example, see x4- y4 as (x²)² – (y²)², thus recognizing it as a difference of squares that can be factored as (x² – y²)(x² + y²).




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