Access Point #: MAFS.912.A-APR.3.AP.4a (Archived Access Point)


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Illustrate how polynomial identities are used to determine numerical relationships such as:

List of multiple formulas, for example difference of squares, sum and difference of cubes, and quadratic formula.

Clarifications:

Essential Understandings

Concrete:

  • Create/identify identities with numbers (e.g., 4 + 0 = 4).
  • Match a and b with their value using a tool (e.g., transparency overlay).
  • Model the equation using manipulatives (e.g., algebra tiles).
Representation:
  • Match terms in the identity with their value.
  • Match an equation with its polynomial identity.
  • Substitute numbers/variables into the identity to generate equations.
  • Understand the following concepts and vocabulary: property, identity, polynomial, factor, expand, substitution.

Number: MAFS.912.A-APR.3.AP.4a Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Use polynomial identities to solve problems. (Algebra 2 - Additional 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-APR.3.4: Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x² + y²)² = (x² – y²)² + (2xy)² can be used to generate Pythagorean triples.



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