Access Point #: MAFS.912.A-APR.4.AP.7aArchived Access Point

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Understand how to add, subtract, multiply, and divide rational expressions.
Clarifications:

Essential Understandings

Concrete:

  • Identify the fractional part of a whole value x, given different values of x (e.g., show me one part of the whole when the whole has three parts, five parts, etc.).
  • Given two pattern blocks, for example, 1 hexagon and 1 triangle, add together by exchanging hexagon for 6 triangles to form a common shape (denominator). 6/6 (hexagon) + 1/6 (triangle) = 7/6 triangles.
Representation:
  • Understand the following related vocabulary: numerator, denominator, fraction, variable, polynomial, factor, division, divisor, dividend, quotient, remainder, synthetic division.
  • Understand operations with fractions.
  • Understand operations with rational expressions. For example:

    begin mathsize 12px style fraction numerator 6 over denominator x space minus space 5 end fraction space plus space fraction numerator x space plus space 2 over denominator x space minus space 5 end fraction end style

    • begin mathsize 12px style fraction numerator 6 over denominator x space minus space 5 end fraction space plus space fraction numerator x space plus space 2 over denominator x space minus space 5 end fraction space equals space fraction numerator 6 space plus space left parenthesis x space plus space 2 right parenthesis over denominator x space minus space 5 end fraction space equals space fraction numerator x space plus space 8 over denominator x space minus space 5 end fraction end style
General Information
Number: MAFS.912.A-APR.4.AP.7a
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

This access point is an alternate version of the following benchmark(s).

Related Courses

This access point is part of these courses.
1200320: Algebra 1 Honors
1200330: Algebra 2
1200340: Algebra 2 Honors
1202340: Precalculus Honors
1207310: Liberal Arts Mathematics
1201300: Mathematical Analysis Honors
1201310: Analysis of Functions
1200700: Mathematics for College Algebra
1200335: Algebra 2 for Credit Recovery
1201315: Analysis of Functions Honors
7912095: Access Algebra 2

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