3. Student Learning Map

  • Topic:#6 Sequences and Series
  • Subject(s):
  • Days:10
  • Grade(s):9, 10, 11, 12
Key Learning:

There are different types of sequences and series that can be used in a variety of situations.

Formulas can be applied to more quickly find particular terms of a sequence and sums of various series.

Unit Essential Question(s):
 
 

How can mathematical patterns be identified and generalized? 

   
Concept: Sequences
Concept: Series
Concept: Area Under a Curve
Lesson Essential Question(s):

How do you identify patterns to derive an expression for the nth term of a sequence?  (A)
How can I apply formulas to extend arithmetic and geometric sequences?  (A)
Lesson Essential Question(s):

How can you apply formulas to find the sum of arithmetic and geometric series?  (A)
Lesson Essential Question(s):

What technique can be used to approximate the area under a curve?  (A)
Additional Information:

Resources:

Vocabulary Report

  • sequence -
  • inscribed rectangles -
  • series -
  • arithmetic series -
  • arithmetic sequence -
  • circumscribed rectangles -
  • geometric sequence -
  • geometric series -
  • nth term -
  • sigma notation -