Precalculus - Sequences and Series

Week of: 4/28

*for additional curriculum information, please visit the district's resource High School Pacing Guides  or Georgia Standards of Excellence

Pre-Calculus 

4/30

Standard(s):PC.PAR.7.1, PC.PAR.7.2, PC.PAR. 7.3, PC.PAR.7.4, PC.PAR.7.5,PC.PAR.7.6,PC.PAR.7.7

LT: 

• I can demonstrate that sequences are functions whose domain is the set of natural numbers

• I can represent sequences graphically, numerically, and symbolically.

• I can determine the limit of a sequence if it exists.

• I can demonstrate that a series is the sum of the sequence and represent series graphically, numerically, and symbolically.

• I can describe the behavior of a series in terms of the limit of its partial sums.

• I can derive and use the sum formula of a finite geometric series to solve contextual problems to model real-life situations.

• I can derive and use the sum of an infinite geometric series to solve contextual problems to model real-life situations.

SC: 

• I can determine if a sequence is arithmetic or geometric.

• I can determine the common difference of an arithmetic sequence.

• I can find the common ratio of a geometric sequence.

Lesson/Activity:Daily 10, Check HW, Practice Worksheet

Resources:Precalculus Functions and Graphs Swokowski, Teacher made worksheet

5/1

Standard(s):PC.PAR.7.1, PC.PAR.7.2, PC.PAR. 7.3, PC.PAR.7.4, PC.PAR.7.5,PC.PAR.7.6,PC.PAR.7.7

LT: 

• I can demonstrate that sequences are functions whose domain is the set of natural numbers

• I can represent sequences graphically, numerically, and symbolically.

• I can determine the limit of a sequence if it exists.

• I can demonstrate that a series is the sum of the sequence and represent series graphically, numerically, and symbolically.

• I can describe the behavior of a series in terms of the limit of its partial sums.

• I can derive and use the sum formula of a finite geometric series to solve contextual problems to model real-life situations.

• I can derive and use the sum of an infinite geometric series to solve contextual problems to model real-life situations.

SC: 

• I can determine if a sequence is arithmetic or geometric.

• I can determine the common difference of an arithmetic sequence.

• I can find the common ratio of a geometric sequence.

Lesson/Activity:Daily 10, Notes and examples of geometric sequences, Practice OB p 644 1-44 odd, 55-83 odd

Resources:Precalculus Functions and Graphs Swokowski, Teacher made worksheet

5/2

Standard(s):PC.PAR.7.1, PC.PAR.7.2, PC.PAR. 7.3, PC.PAR.7.4, PC.PAR.7.5,PC.PAR.7.6,PC.PAR.7.7

LT: 

• I can demonstrate that sequences are functions whose domain is the set of natural numbers

• I can represent sequences graphically, numerically, and symbolically.

• I can determine the limit of a sequence if it exists.

• I can demonstrate that a series is the sum of the sequence and represent series graphically, numerically, and symbolically.

• I can describe the behavior of a series in terms of the limit of its partial sums.

• I can derive and use the sum formula of a finite geometric series to solve contextual problems to model real-life situations.

• I can derive and use the sum of an infinite geometric series to solve contextual problems to model real-life situations.

SC: 

• I can determine if a sequence is arithmetic or geometric.

• I can determine the common difference of an arithmetic sequence.

• I can find the common ratio of a geometric sequence.

Lesson/Activity:Daily 10, Check HW, Geometric Practice Worksheet

Resources:Precalculus Functions and Graphs Swokowski, Teacher worksheet

5/5

Standard(s):PC.PAR.7.1, PC.PAR.7.2, PC.PAR. 7.3, PC.PAR.7.4, PC.PAR.7.5,PC.PAR.7.6,PC.PAR.7.7

LT: 

• I can demonstrate that sequences are functions whose domain is the set of natural numbers

• I can represent sequences graphically, numerically, and symbolically.

• I can determine the limit of a sequence if it exists.

• I can demonstrate that a series is the sum of the sequence and represent series graphically, numerically, and symbolically.

• I can describe the behavior of a series in terms of the limit of its partial sums.

• I can derive and use the sum formula of a finite geometric series to solve contextual problems to model real-life situations.

• I can derive and use the sum of an infinite geometric series to solve contextual problems to model real-life situations.

SC: 

• I can determine if a sequence is arithmetic or geometric.

• I can determine the common difference of an arithmetic sequence.

• I can find the common ratio of a geometric sequence.

Lesson/Activity:Daily 10, Quiz, Delta Math Practice

Resources:Precalculus Functions and Graphs Swokowski, Delta Math 

5/6

Standard(s):PC.PAR.7.1, PC.PAR.7.2, PC.PAR. 7.3, PC.PAR.7.4, PC.PAR.7.5,PC.PAR.7.6,PC.PAR.7.7

LT: 

• I can demonstrate that sequences are functions whose domain is the set of natural numbers

• I can represent sequences graphically, numerically, and symbolically.

• I can determine the limit of a sequence if it exists.

• I can demonstrate that a series is the sum of the sequence and represent series graphically, numerically, and symbolically.

• I can describe the behavior of a series in terms of the limit of its partial sums.

• I can derive and use the sum formula of a finite geometric series to solve contextual problems to model real-life situations.

• I can derive and use the sum of an infinite geometric series to solve contextual problems to model real-life situations.

SC: 

• I can determine if a sequence is arithmetic or geometric.

• I can determine the common difference of an arithmetic sequence.

• I can find the common ratio of a geometric sequence.

Lesson/Activity:Daily 10, Unit 6 Review

Resources:Precalculus Functions and Graphs Swokowski, Teacher made worksheet 

5/7

Standard(s):PC.PAR.7.1, PC.PAR.7.2, PC.PAR. 7.3, PC.PAR.7.4, PC.PAR.7.5,PC.PAR.7.6,PC.PAR.7.7

LT: 

• I can demonstrate that sequences are functions whose domain is the set of natural numbers

• I can represent sequences graphically, numerically, and symbolically.

• I can determine the limit of a sequence if it exists.

• I can demonstrate that a series is the sum of the sequence and represent series graphically, numerically, and symbolically.

• I can describe the behavior of a series in terms of the limit of its partial sums.

• I can derive and use the sum formula of a finite geometric series to solve contextual problems to model real-life situations.

• I can derive and use the sum of an infinite geometric series to solve contextual problems to model real-life situations.

SC: 

• I can determine if a sequence is arithmetic or geometric.

• I can determine the common difference of an arithmetic sequence.

• I can find the common ratio of a geometric sequence.

Lesson/Activity:Daily 10, 

Resources:Precalculus Functions and Graphs Swokowski

5/8

Review for Sequence and Series Test

5/9

Sequence and series Test