3. Student Learning Map

  • Topic:09-Rational Functions
  • Subject(s):Math
  • Days:19
  • Grade(s):11
Key Learning:

There are laws for performing the basic operations and simplifying rational expressions, solving rational equations, and graphing rational functions and their inverses.
Unit Essential Question(s):
 
 
Why is it important to be able to perform operations with rational expressions?
   
Concept:

Inverse Variation (9.1)

MA.912.A.2.12   MA.912.A.2.11   MA.912.A.2.6   LA.910.1.6.1  
Concept:

Rational Functions(9.3)

MA.912.A.2.6   LA.910.1.6.1  
Concept: Multiplying and Dividing Rational Expressions (9.4)
MA.912.A.5.2  
Lesson Essential Question(s):

What are the similarities and differences between inverse variation and direct variation?

 (A)
Lesson Essential Question(s):

What role do asymptotes play in graphing rational functions? (A)

(ET)
Lesson Essential Question(s):

How can the operations of multiplication and division be applied to rational expressions? (A)
Vocabulary:

inverse variation, direct variation

Vocabulary:

point of discontinuity, rational function, asymptote

Vocabulary:

Concept: Adding and Subtracting Rational Expressions (9.5)
MA.912.A.5.3   MA.912.A.5.2   LA.910.1.6.1  
Concept: Solving Rational Equations (9.6)
MA.912.A.5.5  
Concept:

Inverse Variations (9.1 and 9.2)

MA.912.A.2.12   MA.912.A.2.11   MA.912.A.2.10  
Lesson Essential Question(s):

When would I apply the operations of addition and subtraction to rational expressions?

 (A)
Lesson Essential Question(s):

How can rational equations be used to solve real-world problems? (A)

(ET)
Lesson Essential Question(s):

How do I find the inverse of a direct variation?

 (A)
Vocabulary:

complex fraction

Vocabulary:

Vocabulary:

inverse variation, combined variation, branch

Additional Information:

Also include Language Arts Benchmarks LA.910.1.6.1 (use of vocabulary) and LA.910.4.2.1 (write in a variety of informational/expository forms, including a variety of technical documents (e.g., how-to-manuals, procedures, assembly directions)), when appropriate.

Prentice Hall Algebra II: (9.3-9.6)

Suggested materials: Graphing calculators

Resources:

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Know - Understand - Do Organizer
Student Learning Map
Vocabulary Report

Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • point of discontinuity -
  • complex fraction -
  • inverse variation, combined variation, branch -
  • inverse variation -
  • rational function -
  • direct variation -
  • asymptote -