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How are arithmetic and geometric sequences and series recognized, written, and used?
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Student Learning Map
- Topic:Sequences and Series
- Subject(s):Math
- Days:15
- Grade(s):11, 12
Key Learning:
Demonstrate an understanding of sequences and series.
Unit Essential Question(s):
Lesson Essential Question(s):What are the differences between a sequence and a series? (A)How are sums evaluated, given sigma notation? (A)How is sigma notation used to write the terms of a sequence? (A)Lesson Essential Question(s):How is an arithmetic sequence or series identified? (A)How are the nth terms of arithmetic sequences written and calculated? (A)How is the nth partial sums of arithmetic sequences calculuated? (A)Lesson Essential Question(s):How is a geometric sequence or series identified? (A)How are the nth terms of geometric sequences written and calculated? (A)How is the sum of a finite or infinite geometric series determined, and why is it not always possible to determine this? (A)How is the sum of a finite or infinite geometric series determined, and why is it not always possible to determine this? (ET)Vocabulary:Sequence, Series, Infinite Sequence, Terms, Finite Sequence, Recursively, Factorials, Summation/Sigma notation, Index, Upper limit, Lower limit
Lesson Essential Question(s):Lesson Essential Question(s):
Additional Info:
Ask an experienced coworker for additional reference texts and/or other materials. Textbook Ancillary Material Technology Support Program Hands-on manipulatives Kaplan Lesson Plans
Resources:
Culminating Activities:
1. Untitled Culminating ActivityStudent Assessment(s):
1. Untitled Student AssessmentAcquisition Lesson(s):
1. What are the differences between a sequence and a series?2. How is an arithmetic sequence or series identified?3. How is a geometric sequence or series identified?4. How are sums evaluated, given sigma notation?5. How is sigma notation used to write the terms of a sequence?6. How are the nth terms of arithmetic sequences written and calculated?7. How is the nth partial sums of arithmetic sequences calculuated?8. How are the nth terms of geometric sequences written and calculated?9. How is the sum of a finite or infinite geometric series determined, and why is it not always possible to determine this?Extended Thinking Lesson(s):
1. How is the sum of a finite or infinite geometric series determined, and why is it not always possible to determine this?