3. Student Learning Map

  • Topic:#4 Exponential and Logarithmic Expressions, Functions, and Equations
  • Subject(s):
  • Days:25
  • Grade(s):9, 10, 11, 12
Key Learning:

Logarithmic and exponential functions can be used to model real-life applications.

Logarithmic and exponential equations can be solved using various techniques.

Unit Essential Question(s):
 
 

How can logarithmic and exponential functions be used to model real-life applications?

   
Concept:

Graphing Exponential and Logarithmic Functions

Concept: Simplifying Exponential and Logarithmic Expressions
Concept: Solving Exponential and Logarithmic Equations
Lesson Essential Question(s):

What are the basic characteristics of an exponential function? (EQ #1)

(A)

What are the basic characteristics of a logarithmic function? (EQ #2)

How do you convert between exponential and logarithmic forms? (EQ #3)

(A)
Lesson Essential Question(s):

How do you convert between exponential and logarithmic forms?  (A)
How can the properties of logarithms be used when simplifying an expression?  (A)
Lesson Essential Question(s):

What are the methods for solving exponential and logarithmic equations?

(A)
Concept: Applications of Exponential and Logarithmic Functions
Concept:
Concept:
Lesson Essential Question(s):

What real-life applications can be modeled by exponential functions?

(ET)
How can you determine when an exponential growth regression model would be appropriate?  (A)
Lesson Essential Question(s):
Lesson Essential Question(s):
Additional Information:

Resources:

View As PDF

Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • exponential function -
  • change of bases formula -
  • common logarithm -
  • compound interest -
  • natural logarithm -
  • half-life -
  • logarithmic function -
  • population growth -
  • growth factor -
  • exponential form -
  • depreciation -
  • logarithmic form -
  • decay factor -
  • asymptote -
  • exponential regression -
  • curve of best fit -