Math 25: Unit 9

Target Date: Friday December 8
Deadline: Friday December 8

Note: The information on this page is for the 7th edition of the textbook.
Click here for the 6th edition information.

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. The course concludes with a study of parametric equations.

• Translation of axes (10.2-4)
  • standard equation of a translated conic
  • finding axes, foci, etc., of translated conics
  • finding equations of translated conics
• Rotation of axes (10.5, 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 7th 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 10.2-4: Translation of axes
  • Reading:
    • section 10.2: objective 4 (Vertex at (h,k)) - read and work through examples 6-7
    • section 10.3: objective 4 (Center at (h,k)) - read and work through examples 5-6
    • section 10.4: 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:
    • 10.2 #12, 13, 15, 18, 29, 33, 35, 41-53 odd, 55, 57, 59, 61, 75-78
    • 10.3 #39-63 odd, 83-85
    • 10.4 #39-59 odd, 69, 71, 73, 74
      
      
• Section 10.5: Rotation of Axes
  • Reading: section 10.5
    Read and work through examples 1-5 and their matched problems.
  • Practice Problems: 10.5 #1-4, 11-51 odd, 53-56
  • 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.
  • Video lectures are available on reserve in the CR library.
    • Section numbering on the video lectures corresponds to the 7th edition of the textbook. Use the section correlation guide to find the corresponding sections for the 7th edition.
  • 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 use your access code.
  • Graphing Calculator Help

Unit 9 Written Assignment

Complete the following problems by Friday December 8:

• View or print this handout with the detailed assignment
  (pdf format - you will need a copy of Acrobat Reader to view and print the file)

Be sure to read and follow the Homework Guidelines.
Post a question on Blackboard if you are unsure of how to begin one of the problems.

Unit 9 Pretest and Exam Description

After completing the above work, do the following:

1. Read the exam description:
   • This exam has 16 questions, and will count 20 points toward your grade. 
   • This exam has a one hour time limit.
   • Unless otherwise specified, all questions on this exam require an exact answer. You should not try to use a calculator approximation for these questions.
   • Be sure to look under the entry box for the type of answer expected.
     • Some problems expect a list of values or formulas separated by commas, such as 16,9. The values must be listed in the order requested in the problem.
     • The answer to some problems is an equation (for example, the equation of a line). In this case, simply type in the equation. For example, your answer might be y=2x-3.
2. Complete the online Unit 9 Pretest assignment. You may use your book if you wish, and redo the pretest as many times as you like. Your pretest score will be scaled to 5 points maximum.
   • Directions: At the testing web site, choose the Unit 9 Pretest.
   • The pretest must be completed by the deadline date listed at the top of this page.
     However, you may redo the pretest as many times as you like before the deadline date. Your best score counts, and it will be rescaled to 5 points maximum.
   • See the instructions for pretests.
3. If you are having trouble with any of the problems listed above or on the pretest or practice exams, make use of the help resources listed on the Help page.
4. Go to one of the testing labs to take the online proctored Unit 9 Exam assignment (see the instructions for proctored exams). Remember to bring identification, and remember that you will not be able to take the unit exam after the deadline date given at the top of this page. You may NOT use your book or notes on this exam.
   • Directions: At the testing web site, choose Unit 9 Exam.
   • The proctored unit exam must be completed by the deadline date listed at the top of this page, and may be repeated under certain conditions. See the Detailed Schedule page for specific rules.

   Note: Remember that you can always go back and take practice exams on this unit after the deadline has passed. In particular, this will help you prepare for the midterm and final exams.

   • Directions: At the testing web site, choose Unit 9 Practice Exam. After the deadline has passed, this exam will be available in practice mode.

Unit 9 Checklist

Make sure that you have finished the following items to complete Unit 9:

• Read the material listed in the Study Guidelines.
• Practice the problems listed in the Study Guidelines, and use any of the lsited supplementary material to help you understand the concepts.
• Complete the Unit Written Assignment.
• Complete the online Unit Pretest (read the exam description first).
• Complete the online proctored Unit Exam.

Distance Education students: Remember to check in each week with the instructor, and participate in the online discussion forums on Blackboard.

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