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


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Understand and apply the remainder theorem.

Clarifications:

Essential Understandings

Concrete:

  • Sort and align variables by like terms (e.g., 4x - 5y + z, 3x + 2y + 2z).
  • Skip count.
  • Decompose by subtracting the divisor.
  • Identify the remainder when dividing.
  • Use algebra tiles to model division with polynomials.
Representation:
  • Understand that variable terms can be divided.
  • Understand the following vocabulary and symbols: ÷, =, variable, equation, remainder.
  • Understand the concept of remainder when dividing.
  • Perform long division or factoring. 

Number: MAFS.912.A-APR.2.AP.2a Category: Access Points
Date Adopted or Revised: 07/14 Cluster: Understand the relationship between zeros and factors of polynomials. (Algebra 1 - Supporting 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-APR.2.2: Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).



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