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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.
Standard 4 : Rewrite rational expressions. (Algebra 2 - Supporting Cluster)Archived
Cluster Standards
This cluster includes the following benchmarks.
Visit the specific benchmark webpage to find related instructional resources.
- 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.
- MAFS.912.A-APR.4.7 : Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.
Cluster Information
Number:
MAFS.912.A-APR.4
Title:
Rewrite rational expressions. (Algebra 2 - Supporting Cluster)
Type:
Cluster
Subject:
Mathematics - Archived
Grade:
912
Domain-Subdomain
Algebra: Arithmetic with Polynomials & Rational Expressions
Cluster Access Points
This cluster includes the following Access Points.
- MAFS.912.A-APR.4.AP.6a : Rewrite rational expressions, a(x)/b(x), in the form q(x) + r(x)/b(x) by using factoring, long division, or synthetic division.
- MAFS.912.A-APR.4.AP.7a : Understand how to add, subtract, multiply, and divide rational expressions.
Cluster Resources
Vetted resources educators can use to teach the concepts and skills in this topic.
Original Student Tutorial
- Long Division With Polynomials: Use long division to rewrite a rational expression of the form a(x) divided by b(x) in the form q(x) plus the quantity r(x) divided by b(x), where a(x), b(x), q(x), and r(x) are polynomials with this interactive tutorial.
Instructional Technique
- Understanding Similarities and Differences in Adding Fractions and Adding Rational Expressions: This is a teacher resource for how to introduce finding the sums and differences of rational expressions using literacy strategies and graphic organizers to build on their prior knowledge of adding and subtracting fractions.
Problem-Solving Task
- Combined Fuel Efficiency: In this example, fuel efficiency of a car can be analyzed by using rational expressions and operations with rational expressions.