Standard 5 : Rational Expressions and Equations (Archived)



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Simplify rational expressions and solve rational equations using what has been learned about factoring polynomials.

General Information

Number: MA.912.A.5
Title: Rational Expressions and Equations
Type: Standard
Subject: X-Mathematics (former standards - 2008) - Archived
Grade: 912
Body of Knowledge: Algebra

Related Benchmarks

This cluster includes the following benchmarks
Code Description
MA.912.A.5.1: Simplify algebraic ratios.
MA.912.A.5.2: Add, subtract, multiply, and divide rational expressions.
MA.912.A.5.3: Simplify complex fractions.
MA.912.A.5.4: Solve algebraic proportions.
MA.912.A.5.5: Solve rational equations.
MA.912.A.5.6: Identify removable and non-removable discontinuities, and vertical, horizontal, and oblique asymptotes of a graph of a rational function, find the zeros, and graph the function.
MA.912.A.5.7: Solve real-world problems involving rational equations (mixture, distance, work, interest, and ratio).


Related Access Points

This cluster includes the following access points.

Independent

Access Point Number Access Point Title
MA.912.A.5.In.a: Use numbers to represent ratios in real-world situations.
MA.912.A.5.In.b: Solve problems involving ratios in real-world situations.

Supported

Access Point Number Access Point Title
MA.912.A.5.Su.a: Use simple ratios represented by physical and visual models to solve real-world problems.

Participatory

Access Point Number Access Point Title
MA.912.A.5.Pa.a: Identify a simple ratio, such as 1 to 2, to solve real-world problems.


Related Resources

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

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.

Lesson Plans

Name Description
Math in Mishaps:

Students will explore how percentages, proportions, and solving for unknowns are used in important jobs. This interactive activity will open their minds and address the question, "When is this ever used in real life?"

Calculating the Earth-Sun distance using Satellite Observations of a Venus Transit:

Every school child learns that the earth-sun distance is 93 million miles. Yet, determining this distance was a formidable challenge to the best scientists and mathematicians of the 18th and 19th centuries. The purpose of this lesson is to use the 2012 Transit of Venus as an opportunity to work through the mathematics to calculate the earth-sun distance. The only tools needed are basic knowledge of geometry, algebra, and trigonometry. The lesson is self-contained in that it includes all the data needed to work through the exercise.