1. Intro to radians and unit circle F-TF.1 F-TF.2 ANGLES AND ANGLE MEASURE

2. FIND THE EXACT VALUE OF THE FOLLOWING.

3. ANGLES IN STANDARD POSITION

4. MEASURING ANGLES You Try: Draw a 150* angle Draw a -45* angle If the measure of a an angle is positive, the terminal side is rotated counterclockwise If the measure of an angle is negative, the terminal side is rotated clockwise

5.  A radian is the measure of an angle in standard position with a terminal side that intercepts an arc with the same length as the radius of the circle.  The circumference of a circle is One complete revolution around a circle equals radians.  Since =360*, then =180. RADIANRADIAN – CLICK FOR ANIMATION

6. Degrees to RadiansRadians to Degrees CONVERTING BETWEEN DEGREES AND RADIANS Ex: You try:

7.  Rewrite each degree measure in radians and each radian measure in degree PRACTICE

8. SKETCH EACH ANGLE. THEN DETERMINE THE REFERENCE ANGLE

9.  Get from Shawna PAPER PLATE ACTIVITY

10. DEGREES AND RADIANS

11. REVIEW OF QUADRANT ANGLES

12. 45-45-90 RIGHT TRIANGLE 1 1 45 Since this is an isosceles triangle, 2 sides are the same. We will let these congruent sides be 1 and 1. We can then use the Pythagorean Thm. To find the length of the hypotenuse. a 2 +b 2 =c 2 1 2 +1 2 = c 2 2=c 2 =c

13. 30-60-90 RIGHT TRIANGLE 60 2 2 2 11 30 Start with an Equilateral Triangle 30 60 2 1 Then use Pyth. Thm a a 2 +1 2 =2 2 a 2 =3 a=

14. TRIG RATIOS OF SPECIAL ANGLES: 1 2 1 2 1 1

15. HAND TRICK – 1 ST QUADRANT 2

16. PRACTICE PROBLEMS WITH HAND TRICK

17.  worksheet HOMEWORK