Aug 26 U3 L8 Angles and Quadrants

U3L8 Angles
and Qudrants

By Mrs. McGinnas

Poll

Have you heard of Quadrants in Algebra?

• I am an expert Quadrants in Algebra!

• Eh, I've heard about it

• I have no idea what you are talking about

​What is a Quadrant?

Each of the 4 quarters of a circle

• Quadrants of a circle are numbered

  going counter clockwise​

• The quadrant determines whether

  the x and y values are positive

  or negative​

Multiple Choice

How many degrees would be in one quadrant of a circle?

• 45˚

• 180˚

• 30˚

• 90˚

Draw

Step 1: Label each quadrant on the coordinate plane as I, II, III, and IV.
Step 2: In each quadrant, indicate whether the x- and y-coordinates (x, y) are positive or negative. Write the signs for x and y in all four quadrants.

How does the Unit Circle divide its angles?

Radians vs Degrees

​What is a Radian?

• ​s is the length of the intercepted arc

• r is the radi​us of the circle

Converting ​Degrees to Radians

​Converting Radians to Degrees

Open Ended

Convert 120˚ to Radians

​What about the coordinates of the Unit Circle?

​Coordinates in the First Quadrant

• ​Use Trig Functions!

• Remember Soa Cah Toa​

Poll

How do you feel about The Unit Circle now?

• I am a super expert!

• I feel way better about it

• I think I get it

• I still don't understand :(