Lesson #165 Review for test on Polar and Cartesian Coordinates

    
Quote of the Day:
"All of us are slaves to the prejudices of our own dimension."
      -- Thomas Banchoff (in introduction to Flatland)

Objectives:
The student will review polar coordinates.
The student will review translation and rotation in 
   Cartesian Coordinates.


1. Collect Homework.

2. I Have ... Who Has ... Cards on Polar Coordinates.

3. Show the video, "The Stand-Up Conic."

4. Outline of Test:
  
   I. Multiple Choice
      1. Given an equation, Find the new equation after a 
         translation to a new origin.

      2-3. Given an equation with an xy-term in it, 
           Eliminate the xy-term by a rotation of axes.  

      4. Given polar coordinates, find the corresponding 
         rectangular coordinates.

      5. Given a Cartesian equation, find the 
         corresponding Polar equation.  

      6. Given a polar equation, determine the 
         corresponding rectangular equation.

   II. Free Response
      7. Given a polar equation, determine the 
         corresponding rectangular equation.

      8. Given a Cartesian equation, find the 
         corresponding Polar equation.  

      9. Plot three points on polar coordinate graph paper.

      10 - 12. Graph polar equations and inequalities.   

5. Assignment:
   Write up a summary of the video for a quiz grade.

Lesson #165 Review for test on Polar and Cartesian Coordinates

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