Standard 4 : Rewrite rational expressions. (Algebra 2 - Supporting Cluster) (Archived)



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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.

General 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

Related Standards

This cluster includes the following benchmarks
Code 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.
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.


Related Access Points

This cluster includes the following access points.

Access Points

Access Point Number Access Point Title
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.


Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Original Student Tutorial

Name Description
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

Name Description
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

Name Description
Combined Fuel Efficiency:

In this example, fuel efficiency of a car can be analyzed by using rational expressions and operations with rational expressions.



Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

Original Student Tutorial

Title Description
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.

Problem-Solving Task

Title Description
Combined Fuel Efficiency:

In this example, fuel efficiency of a car can be analyzed by using rational expressions and operations with rational expressions.



Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this topic.

Problem-Solving Task

Title Description
Combined Fuel Efficiency:

In this example, fuel efficiency of a car can be analyzed by using rational expressions and operations with rational expressions.