Math 25: Unit 9

  • Unit 9 Target Date: Thursday, May 7
  • Unit 9 DEADLINE Date: Wednesday, May 13

    • Note: The information on this page is for the 7th edition of the textbook.
     Click here for the 8th edition information.
    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.

    • 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 graded carefully, 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
      • 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 6th 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

    See Blackboard for Written Assignment and Blackboard Assignment.

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

    Unit 9 Pretest and Exam Description
    After completing the above work, do the following:

    1. Read the exam description:
      • Pretests count as 20% of your course grade, and Unit Exams count for 35%. 
      • Each unit 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 -- each pretest counts equally, and they comprise 20% of your grade.
      • Directions: At the testing web site, choose the Unit 9 Pretest/HW assignment.
      • The pretest must be completed by the deadline date listed in Optimath.
        However, you may redo the pretest as many times as you like before the deadline date. Your best score counts.
    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" handout.
    4. Go to the Academic Support Center to take the online proctored Unit 9 Exam assignment. 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.

      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 final exam.

      • Directions: At the testing web site, choose "Unit 9 Pretest/HW" assignment. 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 and do the problems listed in the Study Guidelines. Use any of the listed supplementary material to help you understand the concepts.
    • Update your Reference Book as you study.
    • Complete the Discussion Board assignment in Blackboard.
    • Prepare for Quizzes in class.
    • Complete the Unit Written Assignment.
    • Complete the online Unit Pretest/HW assignment (read the exam description first).
    • Complete the online proctored Unit Exam.

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