Grades 8-12 
Mathematics 
Algebra II 
Standard 15

Students determine if a specific algebraic statement
involving rational expressions, radical expressions,
logarithmic or exponential functions, is sometimes
true, always true, or never true.

 

Resources
Lesson Plans
Assessments

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

Section References 

7.1 Properties of Exponents 

7.2 Exploring Data: Compound Interest and Exponential Growth 

7.3 nth Roots and Rational Exponents 

7.4 Properties of Roots and Real Numbers 

7.5 Solving Radical Equations 

7.6 Graphing Square Root 
and Cube Root Functions 

8.1 Exponential Functions 

8.2 Logarithmic Functions 

8.3 Properties of Logarithms 

8.4 The Natural Base e 

8.5 Natural Logarithms 

8.6  Solving Exponential and Logarithmic 

8.7 Exploring Data: Logistics Growth Functions 

9.5 Finding Rational Zeros 

9.6 Connections: Zeros, Factors, and Solutions 

10.1 Graphs of Rational Functions 

10.2 Inverse and Joint Variation 

10.3 Multiplying and  
Dividing Rational  
Expressions 

10.4 Solving Rational Equations 

Software 
Tangible Math: Algebra Animator, LOGAL Software, Inc. 
floppy mac/windows 

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.) Solve, identify, and explain if solutions are always true, sometimes true, or never true.  

 

Show solutions for x that are always true and never true. Explain your reasoning for each decision. 



Previously Published Data 

1.) Give three examples each of expressions that are 1) sometimes true; 2) always true; and 3) never true. 


2.) Prove that the following statements are true: 

2/5log4 - b/5log2 = 1/5log8 

logn25=log25/n for each positive number n # 1 


3.) Prove that the functions y = log2x and y = 2 to the x are a pair of inverse functions. 

logn25 = log25 for each positive number n does not equal 1