Table of Contents:

Topics
Study Guidelines
Unit Written Assignment
Unit Pretest and Exam Description
Checklist

Topics

In this unit, we continue our study of the conic sections with investigations on translation and rotation of axes.

• Translation of axes (11.2-4)
  • standard equation of a translated conic
  • finding axes, foci, etc., of translated conics
  • finding equations of translated conics
• Rotation of axes (11.5, plus supplementary pamphlet)
  • general equation of a conic section
  • finding the angle of rotation
  • converting the equation of a rotated conic to the standard equation of a translated conic
  • finding axes, foci, etc., of rotated conics
  • identifying conics

Unit 9 will be followed by the Analytic Geometry Final Exam.

Study guidelines for the 6th edition of Sullivan's Algebra and Trigonometry

These reading and problem assignments are designed to help you learn the course material. You should complete all of these problems, check your answers in the back of the textbook, and get help with the problems that you missed. Most of the problems are odd-numbered, so you can check the solutions in the Solutions Manual.

The only way to learn mathematics is to do mathematics, so while these problems will not be collected or graded, you will probably not do well in the course if you do not complete these and check your work as described above. After completing these problems, go on to the Unit Exam Description below and follow directions.

• Section 11.2-4: Translation of axes
  • Reading:
    • section 11.2: objective 4 (Vertex at (h,k)) - read and work through examples 6-7
    • section 11.3: objective 4 (Center at (h,k)) - read and work through examples 5-6
    • section 11.4: objective 5 (Center at (h,k)) - read and work through examples 7-8
  • The translated parabolas applet illustrates the various types of parabolas which have vertex at (h,k).
  • The translated ellipses applet illustrates the various types of ellipses which have center at (h,k).
  • The translated hyperbolas applet illustrates the various types of hyperbolas which have center at (h,k).
  • Practice Problems:
    • 11.2 #2, 3, 5, 8, 17, 21, 23, 29-41 odd, 43, 45, 47, 49, 63-66
    • 11.3 #25-49 odd, 69-71
    • 11.4 #27-47 odd, 57, 59, 61-62
      
      
• Section 11.5: Rotation of Axes
  • Reading: section 11.5
    Read and work through examples 1-5 and their matched problems.
  • Practice Problems: 11.5 #1-41 odd, 43-46
  • Supplementary pamphlet on Rotation of Axes: While this pamphlet has nothing really new in the text, it does have 4 additional examples and 10 additional exercises with detailed answers.
    
    
• Supplementary material (optional):
  • Student Solutions Manual
  • Algebra Review booklet
  • CD lecture series (step-by-step video examples on CD)
    • Section numbering on the CD's corresponds to the 7th edition of the textbook. Use the section correlation guide to find the corresponding sections for the 6th edition.
  • Video lectures are available on reserve in the CR library.
    • Section numbering on the video lectures corresponds to the 6th edition of the textbook.
  • For tutoring help, visit the Prentice Hall Math Tutor Center. Tutors can be contacted by phone, fax, or e-mail. To register, you will need to first obtain an access code from me.
  • Graphing Calculator Help

Unit 9 Written Assignment

Be sure to read and follow the 'General Guidelines' (look in Blackboard).