1.1 Notes.notebook
January 14, 2015
1.1 Angles and Degree Measure
Name: _____________
Objectives: Students will be able to graph angles, determine
coterminal angles, and make conversions between degrees and
degrees-minutes-seconds (DMS) by hand and with a calculator.
terminal side
Quadrant II
Quadrant I
Quadrant III
Quadrant IV
θ
initial side
vertex
Standard Position:
Acute angle
Obtuse angle
Straight angle
Right angle
Quadrantal
Angle
Jan 11­11:48 AM
Examples Draw each angle in standard position and state
which quadrant each angle lies.
1.) 120o
2.) -90o
3.) 330o
4.) -800o
Coterminal Angles
Jan 11­11:50 AM
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1.1 Notes.notebook
January 14, 2015
Examples
1.) Find the degree measures of two positive and two negative
angles that are coterminal with 300o.
2.) Determine whether 8o and -368o are coterminal.
3.) Find the measure of the smallest positive angle that is
coterminal with -180o.
Jan 6­2:40 PM
Degree: unit of angular measure equal to 1/180th of a straight
angle
In the DMS (degree-minute-second) system of angular measure,
each degree is subdivided into 60 _______ (denoted ') and each
minute is subdivided into 60 ________ (denoted '')
Examples
1.) Convert 37.425o to DMS.
Check it out with your calculator:
Oct 21­12:34 PM
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1.1 Notes.notebook
January 14, 2015
2.) Convert 42o24'36'' to degrees.
Check it out with your calculator:
Examples Perform the indicated operations. Express answers in
DMS format.
1.) 13o45'33''
Jan 11­11:46 AM
2.) 45o - 9o33'39''
3.) (21o27'36'')/2
Homework:
Pg. 49: For Thought #1-10
Pg. 49-52: Exercises #1-9 odd, #11-111 every other odd
Jan 6­2:53 PM
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