Grade 8-12 
Mathematics 
(Algebra I) 
Standard 25

Students use properties of the number system to
judge the validity of results, to justify each step of
a procedure, and to prove or disprove statements.

 

Resources
Lesson Plans
Assessments

Algebra 1  
An Integrated Approach, Larson/Kanold/Stiff, 
2000 Edition,  
D.C. Heath and Company 

Section References 

13.6 Formal Use of  
Properties of Algebra 

Software 

Green Globs and 
Graphing Equations,  
Sunburst Communications  
1996 
floppy apple II/mac/ 
dos/windows 

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 Publised Data 

1.) Students will solve the equation 4x + 6 = 330 when x > 0 and show their steps both in a two column proof and flow proof.  



2. Students will complete the two column proof below 

Given: x(x) + 8 = 24; x . 0; Prove: x = 4 

Statements Justifications
1. X2+8=24 1.
2. X2=16 2.
3. 3. Definition of a square root
4. X>0 4.
5. 5.


Previously Publised Data 

1.) Given the following information and directions, students will give an example that shows when this is a true statement and a counterexample to show Carmen that this postulate does not always work. Carmen proposed this postulate for squaring with inequalities: 

If a < b, then a(a) < b(b). 


2.) Students will write and solve their own equation and present the solution as a flow proof or a two column proof.