Priority Standards: F-BF.2: Write arithmetic and geometric sequences both recursively and with an explicit formula, use it to model situations and translate between the two forms
A-SSE.4: Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems.
Topics and "I can" Statements:
Unit 10: Sequences and Series Resources
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Unit 10- Lesson #1: Introduction to Sequences (pg. 2-4)
Unit 10- Lesson #2: Arithmetic Sequences (pg. 5- 8)
Unit 10- Lesson #3: Geometric Sequences (pg. 9-13)
Unit 10- Lesson #4: Applications with Sequences (pg. 13-15)
Unit 10- Lesson #5: Series and Sigma (Summation) Notation (pg. 15-20)
Unit 10- Lesson #6: Sums of Arithmetic and Geometric Series
Unit 10- Lesson #7: Infinite Geometric Series
Unit 10- Lesson #8: Pascal's Triangle and Binomial Expansion
Unit 10- Lesson #9: Binomial Expansion Theorem
A-SSE.4: Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems.
Topics and "I can" Statements:
- I can determine if a sequence is arithmetic, geometric, or neither, and I can extend a sequence.
- I can find the formula for an arithmetic sequence, find a specified term within an arithmetic sequence, and find a given number of arithmetic means between two terms in an arithmetic sequence
- I can find the formula for a geometric sequence, find a specified term within a geometric sequence, and find a given number of geometric means between two terms in a geometric sequence.
- I can write series in expanded form and in summation (sigma) notation.
- I can find partial sums of arithmetic and geometric series.
Unit 10: Sequences and Series Resources
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Unit 10- Lesson #1: Introduction to Sequences (pg. 2-4)
Unit 10- Lesson #2: Arithmetic Sequences (pg. 5- 8)
Unit 10- Lesson #3: Geometric Sequences (pg. 9-13)
Unit 10- Lesson #4: Applications with Sequences (pg. 13-15)
Unit 10- Lesson #5: Series and Sigma (Summation) Notation (pg. 15-20)
Unit 10- Lesson #6: Sums of Arithmetic and Geometric Series
Unit 10- Lesson #7: Infinite Geometric Series
Unit 10- Lesson #8: Pascal's Triangle and Binomial Expansion
Unit 10- Lesson #9: Binomial Expansion Theorem