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.