Access Point #: MAFS.912.A-APR.4.AP.6a (Archived Access Point)


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Rewrite rational expressions, a(x)/b(x), in the form q(x) + r(x)/b(x) by using factoring, long division, or synthetic division.

Clarifications:

Essential Understandings

Concrete:

  • Cross (factor) out terms in the numerator and denominator that are similar (e.g., ab/ac = b/c).
  • Use algebra tiles to factor an equation.
  • Use manipulatives to model dividing polynomials.
Representation:
  • Factor polynomials.
  • Rewrite a rational expression using long division by factoring.
  • Understand the following related vocabulary: numerator, denominator, fraction, variable, polynomial, factor, division, divisor, dividend, quotient, remainder, synthetic division. 

Number: MAFS.912.A-APR.4.AP.6a Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Rewrite rational expressions. (Algebra 2 - Supporting 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.4.6: Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.



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