Lesson #166
Test on Polar and
Cartesian Coordinates
Quote of the Day:
"Learning to solve problems is the principal reason for studying mathematics."
-- National Council of Teachers of Mathematics
Objectives:
The student will demonstrate knowledge of polar coordinates.
The student will demonstrate knowledge of translation and
rotation in Cartesian Coordinates.
1. Hand out copies of this optional test to those students
who want to take it.
2. 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.
3. For those students not taking the test,
Hand out the calculus definitions sheet.
4. For those students not taking the test,
Play the "Factors Game."
5. Students not taking the test may go to the computer lab
to play Green Globs or Tracker.