Module 9 Polar Coordinates Main Ideas
Investigation 1: Motivating Polar Coordinates
 Understand the basics of polar coordinates
 (Introduction with Helicopter Problem/Rescue of Hiker)
Investigation 2: Coordinates and Conventions (Homework #1-22)
 Know the proper form for writing polar coordinates
 Know how to graph polar coordinates with positive radii (Workbook P. 365-366)
 Know how to graph polar coordinates with negative radii (Workbook P. 365-366)
 Know how to find equivalent ordered pairs when given one ordered pair (Workbook P. 365-366)
 Know how to find an ordered pair from a polar graph (Workbook P. 367-370)
 Know how to find additional ordered pairs when given a polar graph (Workbook P. 367-370)
Investigation 3: Graphs of Functions in Polar Coordinates (Homework #23-32)
 Given a polar equation, know how to generate a table of ordered pairs and graph the function (Workbook P.
371-374)
 Given a rectangular graph know how to find ordered pairs from the graph and be able to graph the function on a
polar coordinate plane (Workbook P. 375-77)
 Be able to look at a rectangular graph and predict the behavior of a polar graph (Workbook P. 375-377)
Investigation 4: Constant Rate of Change in Polar Coordinates (Homework #33-47)
 Be able to determine if a linear or polar function has a constant rate of change (Workbook P. 379)
 Given a polar graph be able to determine if it has a constant rate of change (Workbook P. 381-384)
 Given a polar graph with a constant rate of change be able to determine what the constant rate of is and
continue the graph for another full revolution (Workbook P. 385…we did this with #9 on P. 382)
Investigation 5: Graphing Trigonometric Functions in Polar Coordinates (Homework #48-51)
 Be familiar with the patterns between the function equations and the graphs for sine (Workbook P387-390)
 Be familiar with the patterns between the function equations and the graphs for cosine (Workbook Homework
#48-51)
Investigation 6: Average Rate of Change in Polar Coordinates (Homework #52-57)
 Be able to interpret word problems in the context of polar graphs
 Given a word problem know how to write equations, find the average rate of change and graph the situation
(Workbook P. 391)
 Know how to find an average rate of change for a polar graph and explain what it means (Workbook P. 392-394)
 Know how to draw a polar graph using the average rate of change (Workbook P. 392-393)
The Missing Investigation: Converting Points between Coordinate Systems (Homework #59-63)
 Convert polar points to rectangular points (Workbook P. 419-420)
 Convert rectangular points to polar points (Workbook P. 420-421)
Homework for Thursday 3/5…Go back and do all of the even problems #2-62 from the homework section OR Pick any
15 that you need to work on from the investigations and homework (Make sure they are representative of the entire
chapter…not 15 of the easiest problems you can find!)