Student Learning Map

  • Topic:Exponential Relationships:Growing, Growing, Growing
  • Subject(s):Math
  • Days:14
  • Grade(s):8
Key Learning:

Exponential relationships show multiplicative patterns in data and can be modeled in tables, graphs, and equations.
Unit Essential Question(s):
 
 

How can you describe, compare, and contrast exponential growth and exponential decay?
   
Concept:

Exponential Growth

(Inv. 1)

4.3.8.B.1a   4.3.8.B.1b   4.3.8.A.1d   4.3.8.D.2b   4.5.8.A.1   4.5.8.A.5   4.5.8.B.1b   4.5.8.B.1a   4.5.8.E.1b   4.5.8.E.1c   4.5.8.E.1d   4.5.8.F.6   4.1.8.A.1a   4.1.8.B.1   4.3.8.B.2  
Concept:

Growth Patterns

(Inv. 2)

4.3.8.B.1b   4.5.8.A.1   4.3.8.A.1d   4.5.8.A.5   4.5.8.B.1b   4.5.8.B.1a   4.1.8.A.1a   4.1.8.B.2   4.3.8.B.2  
Concept:

Growth Factors

(Inv. 3)

4.5.8.A.1   4.5.8.A.5   4.5.8.B.1b   4.5.8.B.1a   4.5.8.E.1c   4.1.8.A.1a   4.1.8.B.1   4.1.8.B.2  
Lesson Essential Question(s):

What patterns are seen in tables, equations, and graphs when applying exponential growth?

 (A)

Lesson Essential Question(s):

How can you identify exponential growth factors and how do they differ from linear growth?

 (A)

Lesson Essential Question(s):

How do you determine the growth factor in an exponential situation?

 (A)

Vocabulary:

exponenital form, base, exponent, standard form, exponential growth

Vocabulary:

growth factor

Vocabulary:

none

Concept:

Exponential Decay

(inv. 4)

4.3.8.B.1a   4.3.8.B.1b   4.3.8.A.1d   4.5.8.A.1   4.5.8.A.5   4.5.8.B.1b   4.5.8.B.1a   4.5.8.E.1b   4.5.8.E.1c   4.5.8.E.1d   4.5.8.F.6   4.1.8.A.1a   4.1.8.B.1   4.1.8.B.2  
Concept:
Concept:
Lesson Essential Question(s):

What patterns are seen in tables, equations, and graphs when applying exponential decay?

 (A)

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

exponential decay, decay factor

Vocabulary:

Vocabulary:

Additional Info:

labsheets, graphing calc., chessboard (optional), counters, graph paper, scissors

hot water and thermometer (Prob. 4.4)

Resources:

View As PDF
Student Learning Map of Unit
Vocabulary Report

Culminating Activities:

1. Untitled Culminating Activity

Student Assessment(s):

1. Untitled Student Assessment

Acquisition Lesson(s):

1. What patterns are seen in tables, equations, and graphs when applying exponential growth?2. How can you identify exponential growth factors and how do they differ from linear growth?3. How do you determine the growth factor in an exponential situation?4. What patterns are seen in tables, equations, and graphs when applying exponential decay?

Vocabulary Report

  • exponenital form -
  • growth factor -
  • none -
  • exponential decay -
  • base -
  • decay factor -
  • exponent -
  • standard form -
  • exponential growth -