3. Student Learning Map

  • Topic:10-Sequences and Series
  • Subject(s):Math
  • Days:9
  • Grade(s):11
Key Learning:

There are formulas to generate terms in arithmetic and geometric sequences.
Unit Essential Question(s):
 
 
What is the difference between a sequence and a series?
   
Concept: Mathematical Patterns (11.1)
LA.910.1.6.1  
Concept:

Sequences (11.2 and 11.3)

MA.912.D.11.3   MA.912.D.11.1    LA.910.1.6.1  
Concept:

Series (11.4 and 11.5)

LA.910.1.6.1   MA.912.D.11.3   MA.912.D.11.1   
Lesson Essential Question(s):

How can mathematical patterns be represented algebraically? (A)

(ET)
Lesson Essential Question(s):

What is distinctive about an arithmetic sequence?

 (A)

How is a geometric sequence different from an arithmetic sequence?

 (A)
Lesson Essential Question(s):

What is an arithmetic series?

 (A)

How do arithmetic and geometric series differ?

 (A)
Vocabulary:

sequence, term, recursive formula, explicit formula

Vocabulary:

arithmetic sequence, common difference, arithmetic mean, geometric sequence, common ratio, geometric mean

Vocabulary:

series, arithmetic series, limit, geometric series, converge, diverge

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: (11.1-11.5)

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

  • sequence -
  • arithmetic sequence -
  • series -
  • arithmetic series -
  • common difference -
  • term -
  • arithmetic mean -
  • recursive formula -
  • limit -
  • explicit formula -
  • geometric sequence -
  • geometric series -
  • common ratio -
  • converge -
  • geometric mean -
  • diverge -