Name ______________________________________________ Period ______ Date _____________________
Episode IV: A New Space 
Honors Precalculus
Perry
AIM: You will be able to convert from rectangular coordinates to polar coordinates; plot in polar coordinates;
and give alternative coordinates for the same point.
HW Section 9.1: 31-37 odd, 55-62 all
You’re familiar with left-right, up-down coordinates (x, y). Today we learn about another way to do coordinates.
NOTES:
SECTION 1: BATTLESHIP
First we’re going to play a game. 
Now you’re going to play a few rounds alone.
Steps:
1.)
2.)
3.)
4.)
Go to this URL: http://geogebratube.org/material/show/id/1104
Click on “Go to student worksheet.”
Play a round.
After you find the battleship, record its location below. Then close the file, open it up,
and play two additional times.
Battleship 1
Battleship 2
Distance
Angle
Apply
Look at the point below. You could identify it with the coordinates (4, 2).
Can you also identify it using a distance and an angle?
Distance:
Angle:
Battleship 3
More practice:
Distance:
Angle:
Distance:
Angle:
Distance:
Angle:
To check your answers:
1.) Go to this URL: http://geogebratube.org/student/m9762
2.) Click on “Go to student worksheet.”
3.) Drag point A to the various locations above and check your answers!
GENERALIZE: Using what you’ve observed, consider the point (x, y) and do the same:
Distance:
Angle:
Remember the angle’s quadrant!
SECTION 2: TERMINOLOGY
POLAR COODINATES:
Plot the following coordinates on the polar graph.
SECTION 3: MOVING BACKWARDS (FROM POLAR TO RECTANGULAR)
Now I want you to go backwards. If I give you the distance and angle (r, ), try to figure out the xy-coordinates.