Grades 8-12 
Mathematics 
Algebra II 
Standard 23

Students derive the summation formulas for arithmetic
series and both finite and infinite geometric series.

 

Resources
Lesson Plans
Assessments

Algebra 2  
An Integrated Approach,  Larson/Kanold/Stiff, 1995,  
D.C. Heath and Company 

Section References 

12.1 Sequences and Series 

12.2 Arithmetic Sequences and Series 

12.3 Geometric Sequences and Series 

12.4 Infinite Geometic Series 

12.5 The Binomial Theorem 

Software 

Measurement in Motion, Learning In Motion 
cd/floppy mac 

CA Exit Exam Web Site 

http:/www.chspe.com/ 
download.html 

Specific Textbook   
Web Sites    

http://www.glencoe.com/  
sec/math/prealg/mathnet/    

http://www.eduplace.com/  
links/    

http://www.eduplace.com/    

http://www.hmco.com/  
college/mathematics/  
index.html    

http://www.mcdougallittell  
.com/    

http://www.hmco.com/    

http://www.SRA-4KIDS.com/    

General Math   
Reference Sites    

http://www.learner.org/  
sami/view-category.php3  
?category=math    

http://www.score.k12.ca.us/    

http://henson.austin.apple  
.com/edres/curric.shtml    

http://school.discovery.com/  
schrockguide/index.html    

http://www.EDsOasis.org/    

http://www.math.com/    

http://www.nea.org/grants/  
free.html    

http://www.wcom.com/  
marcopolo/    

http://www.udel.edu/sine/    

http://dewey.chs.chico.k12  
.ca.us/math.html    

Free Stuff    

http://www.nea.org/  
grants/free.html    

State/National Math   
Ed Organizations    

http://www.nctm.org/    

http://www.cde.ca.gov/    

Calif. Dept. of Ed. Standards, Assessment, Ed. Reference.    

Calculator Reference Site    

http://www.ti.com/  
calc/docs/calchome.html  



Previously Published Data 

1.) Use the summation formula to find the sum of these geometric sequences; assume that m is an integer greater than or equal to 3:  

  • Find 1 + 3 + 3(3) + ... + 3 to the m - 2
  • Find 3 (3) + 3(3)(3) + 3(3)(3)(3) +... + 3 to the m 

  • Previously Published Data 

    1.) Give three examples each where it would be more practical to use sigma notation and where it would not (where the general sum formula would be more practical.) Also, define practical as you are using it. 


    2.) Write and explain two examples each of a finite and an infinite geometric series; include the application of each in your explanation. (Application example: the total distance that a pendulum travels as it swings would be an application of an infinite geometric series.)