1. Lesson 5-1: Angles and Degree Measure
LEQ - What are co-terminal angles and reference angles?
Lesson 5-1:
Angles and
Degree Measure

2. Angles – two rays joined at a vertex
Angles – two rays joined at a vertex. Angle are measured in degrees, minutes and seconds.
Standard Position – all angles in the coordinate plane have their initial side on the x-axis.

3. Give the angle measurements for each of the following:
Positive angles are measured counter-clockwise
Negative angle are measured clockwise
Give the angle measurements for each of the following:
3 clockwise rotations
2.4 counterclockwise rotations

4. Reference Angle – positive, acute angle formed between terminal side and x-axis.
In your notes, sketch each angle and indicate the reference angle measure:
a.) 150º
b.) -315º
c.) 225º

5. Quadrantal Angles – angles whose terminal side lies on the axes.

6. Coterminal angles – angles which differ by 360º and have the same terminal side.
Find 3 coterminal angles to 30º
Find 3 coterminal angles to 150º

7. latitude and longitude lines on earth
Angle conversion Angles are measures in degrees, minutes and second. A minute is 1/60 of a degree and a second is 1/60 of a minute. (ex. 32º 5' 2.34" )
latitude and longitude lines on earth

8. What is the high school’s latitude and longitude?
Convert latitude and longitude to just degrees.

9. Angle Conversion: Convert 52.125º to degrees, minutes and seconds.

10. Graphing calculator: Convert 52.125º to degrees, minutes and seconds.

11. LESSON VOCABULARY REVIEW
Vertex
Initial side
Terminal side
Degrees
Minutes
Seconds
Quadrantial Angle
Co-terminal Angle