3. Student Learning Map

  • Topic:07-Radical and Rational Exponents
  • Subject(s):Math
  • Days:28
  • Grade(s):11
Key Learning:

There are laws for performing operations and simplifying radical expressions, solving rational and radical equations, finding inverses of relations and functions, and representing them graphically.
Unit Essential Question(s):
 
 
Why is it important to know and apply operations with radicals?
   
Concept: Roots and Radical Expressions (7.1)
MA.912.A.10.3   MA.912.A.6.1   LA.910.1.6.1  
Concept: Radical Expressions (7.2)
MA.912.A.6.2   LA.910.1.6.1  
Concept: Binomial Radical Expressions (7.3)
MA.912.A.6.2  
Lesson Essential Question(s):

How are equivalent forms of nth root equations found?

 (A)
Lesson Essential Question(s):

How do the operations of multiplication and division affect radical expressions? (A)
Lesson Essential Question(s):

How do the operations of addition, subtraction, multiplication, and division affect radical expressions?

 (A)
Vocabulary:

nth root, radicand, index, principal root

Vocabulary:

rationalize the denominator

Vocabulary:

Concept: Rational Exponents (7.4)
MA.912.A.10.3   MA.912.A.6.4   MA.912.A.6.3   LA.910.1.6.1  
Concept: Solve Radical Equations (7.5)
MA.912.A.6.5  
Concept: Function Operations (7.6)
MA.912.A.2.8   MA.912.A.2.7   LA.910.1.6.1  
Lesson Essential Question(s):

How do I relate the rational exponent in an expression to determine which root I need to perform?

 (A)
Lesson Essential Question(s):

How do I solve radical equations?

 (A)
Lesson Essential Question(s):

How can the basic four operations be applied to functions and composition of functions?

 (A)
Vocabulary:

rational exponent, Properties of Rational Exponents

Vocabulary:

Vocabulary:

composite function

Concept: Inverse Relations and Functions (7.7)
MA.912.A.10.3   MA.912.A.2.11   LA.910.1.6.1  
Concept:

Graphing Radicals (7.8)

MA.912.A.10.3   MA.912.A.2.6   LA.910.1.6.1  
Concept:
Lesson Essential Question(s):

How is an inverse related to the parent equation? (A)
Lesson Essential Question(s):

How can radical functions be represented graphically? (A)

(ET)
Lesson Essential Question(s):
Vocabulary:

inverse relation, inverse function

Vocabulary:

radical function, translation

Vocabulary:

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: (7.1-7.8)

Suggested materials: Graphing calculators

Resources:

View As PDF
Know - Understand - Do Organizer
Student Learning Map
Vocabulary Report

Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • nth root -
  • radical function -
  • inverse relation -
  • rationalize the denominator -
  • rational exponent -
  • composite function -
  • inverse function -
  • Properties of Rational Exponents -
  • radicand -
  • translation -
  • index -
  • principal root -