Ch 9 Polar Coordinates and Complex numbers

L9.2 Graphs of Polar equations

You must be able to match the graph with its name and its equation.

Classical Curves

Petals of a rose

• n-petalled rose if n is odd, or a 2n-petalled rose if n is even. If n is rational but not an integer, a rose-like shape may form but with overlapping petals. Note that these equations never define a rose with 2, 6, 10, 14, etc. petals. The variable a represents the length of the petals of the rose.

Classwork

Classical Curves

Classical Curves

Classical CurvesCardioid – a special case of the limacon family of curves

Cardoid

Classical Curves

Classwork - HandoutHomework – page 565 11-22

Lesson Overview 9-2A

Lesson Overview 9-2B

Experiment with your calculator.

• Try graphing the classic polar graphs.• Experiment with different values for a and b

and determine what effect each has on the graph.

• Experiment with the sin and cos and determine what effect each has on the graph.

• Write your equation on your handout chart and sketch its graph below.

Now lets try the following problems.

• Copy the questions on your notebook paper.• Write your answers.• Check for correctness.

5-Minute Check Lesson 9-3A

• Practice Master 9-2