Grades 8-12 
Mathematics 
Algebra II 
Standard 16

Students demonstrate and explain how the geometry
of the graph of a conic section depends on the
coefficients of the quadratic equation representing it.

 

Resources
Lesson Plans
Assessments

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

Section References 

11.1 Parabolas 

11.2 Circle and Points of Intersection 

11.3 Ellipses 

11.4 Hyperbolas 

11.5 Translations of  
Conics 

11.6 Classifying Conics 

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.) Have students set up a polynomial equation of a set of points. Where the distance from a fixed point (F,O) is e times its distance from the vertical line x = -f where e stands for a constant. Have students show the graph is an ellipse if 0 < e < 1, a parabola if e = 1, and a hyperbola if e > 1.  



Previously Published Data 

1.) Have students solve various quadratic equations to prove what type of conic sections it is. Have students determine the eccentricity for a circle and determine its directrix.