3. Student Learning Map

  • Topic:08-Exponential and Logarithmic Functions
  • Subject(s):Math
  • Days:20
  • Grade(s):11
Key Learning:

Exponential and logarithmic functions are related.
Unit Essential Question(s):
 
 
How are exponential and logarithmic functions related?
   
Concept:

Exponential Models and Functions (8.1 and 8.2)

MA.912.A.10.3   MA.912.A.8.7   MA.912.A.8.3   MA.912.A.8.1   MA.912.A.2.6   LA.910.1.6.1  
Concept: Logarithmic Functions as Inverses (8.3)
MA.912.A.10.3   MA.912.A.8.3   MA.912.A.8.2   MA.912.A.8.1   MA.912.A.2.11   MA.912.A.2.10   LA.910.1.6.1  
Concept: Properties of Logarithms (8.4)
MA.912.A.10.3   MA.912.A.8.3   MA.912.A.8.2   LA.910.1.6.1  
Lesson Essential Question(s):

How can exponential growth and decay be modeled? (A)

(ET)

What is e?

 (A)
Lesson Essential Question(s):

How can the inverse of an exponential function be determined? (A)
Lesson Essential Question(s):

What are the properties of logarithms? (A)
Vocabulary:

exponential function, growth factor, decay factor, asymptote, continuously compounded interest formula

Vocabulary:

logarithm, common logarithm, logarithmic function

Vocabulary:

Properties of Logarithms

Concept: Exponential and Logarithmic Equations (8.5)
MA.912.A.8.6   MA.912.A.8.5   LA.910.1.6.1  
Concept: Natural Logarithms (8.6)
MA.912.A.8.7   MA.912.A.8.5   LA.910.1.6.1  
Concept:
Lesson Essential Question(s):

How is solving exponential and logarithmic equations used in real-world situations? (A)

(ET)
Lesson Essential Question(s):

What is a natural logarithm? (A)
Lesson Essential Question(s):
Vocabulary:

exponential equation, Change of Base Formula, logarithmic equation

Vocabulary:

natural logarithmic function

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: (8.1-8.6)

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

  • exponential function -
  • exponential equation -
  • Properties of Logarithms -
  • natural logarithmic function -
  • logarithm -
  • growth factor -
  • Change of Base Formula -
  • common logarithm -
  • logarithmic function -
  • decay factor -
  • logarithmic equation -
  • asymptote -
  • continuously compounded interest formula -