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

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.

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

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

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

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

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

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

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

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

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