Grade 8-12 
Mathematics 
(Algebra I) 
Standard 19

Students know the quadratic formula and are familiar
with its proof by completing the square.

 

Resources
Lesson Plans
Assessments

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

Section References 

9.2 Solving Quadratic Equations by Finding 
Square Roots 

9.3 Graphs of Quadratic Equations 

9.4 The Quadratic Formula 

9.5 Problem Solving  
Using the Discriminant 

10.7 Solving Quadratic Equations by Completing 
the Square 

Video 

Zeroes and Roots  
(Quadratics Series), 
TV Ontario 1993 
10 minute video 

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.) Given several equations and the quadratic formula, students will identify the a, b, and c terms. Example: x(x) - 4x - 5 = 0 


2.) Students will solve a variety of quadratic equations by sketching the completed square. 
3.) Given several quadratic equations, students will predict which can be solved by factoring and which must be solved by quadratic formula or completing the square.
 

Previously Published Data 

1.) Students will solve quadratic equations either by factoring or by completing the square. 


2.) Given a certain number of tiles (1 large square, 6 rectangles, and 4 small squares), students will sketch how to complete a square, then explain how to solve the equation by completing the square.