Grades 8-12 
Mathematics 
Algebra II 
Standard 17
Given a quadratic equation of the form
ax(2) + by(2) + cx + dy + e = 0, students
can use the method of completing the
square to put the equation into standard
form and can recognize whether its graph
is a circle, ellipse, parabola, or hyperbola.
Students can then graph the equation.

 

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

Section References 

5.1 Solving Quadratic Equations by Finding Square Roots 

5.2 Parabolas: Graphs of Quadratic Equations 

5.3 Completing the Square 

5.4 The Quadratic Formula 

9.1 Operations with Polynomials 

9.2 Graphs of Polynomials Functions 

9.3 Factoring Polynomials 
and Solving 

9.4 Polynomial Division, Factors and Remainders 

9.5 Finding Rational Zeros 

9.6 Connections: Zeros, Factors, and Solutions 

9.7 Exploring Data: Measures of Dispersion 

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 

Software 

Algebra and Calculus Sketches, Ruth Carver 
templates for Geometer's Sketchpad 

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 work on completing the square method. Have them determine if the quadratic equation is in the form of a circle, ellipse, parabola or hyperbola. 

2.) Give students an equation and have them put it into standard form. Have students graph the equation. Depending on their graph, ask them to identify one of the following: If the graph is a parabola, identify its vertex If it's a circle, identify its center If it's an ellipse, identify its major/ minor axes If it's a hyperbola, identify its asymptote. 
Previously Published Data 

1.) Give students representative graphs of circles, parabolas, and ellipses not centered at the origin and have them write their equations. 

2.) Give students an equation that is not in standard form and have them determine if the equation is that of a circle, ellipse, parabola or hyperbola.