Ch 9 Polar Coordinates and Complex numbers

Ch 9 Polar Coordinates and Complex numbers

Lesson 9.1 Graphing polar points Graphing simple polar equations

Finding the distance between 2 polar points.

• Points in a Polar Grid are given by (r, q) - the values of r and q can be positive or negative.

• Each point can be given by several different ordered pairs.

• The polar equation r = k is a circle.• The polar equation q = k is a line.

Start by finding the angle or “argument”. Then count r from the “pole” out. Move forward toward the angle if r is positive. Move backward away from the angle if r is negative.

Lesson Overview 9-1A

If the polar equation is r = n, the graph will be a circle with the radius of n

Try graphing this in your calculator now! Set your mode from function to polar.Press y= and you now see r=. Type in 3 then zoom standard, zoom square.

Lesson Overview 9-1B

Find the distance between points (3,70°) and (5, 120°)

Now lets try the following problems.

• Copy the questions on your notebook paper.• Use the polar paper given you.• Write your answers.• Check for correctness.

5-Minute Check Lesson 9-2A

5-Minute Check Lesson 9-2B