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Fall 2013 TRIG ASSIGNMENT SHEET UNIT CIRCLE GRAPHING SINE/COSING FUNCTIONS MA3A2. Students will use the circle to define the trigonometric functions. a. Define and understand angles measured in degrees and radians, including but not limited to 0°, 30°, 45°, 60°, 90°, their multiples, and equivalences. b. Understand and apply the six trigonometric functions as functions of general angles in standard position. c. Find values of trigonometric functions using points on the terminal sides of angles in the standard position. d. Understand and apply the six trigonometric functions as functions of arc length on the unit circle. e. Find values of trigonometric functions using the unit circle. MM4A3. Students will investigate and use the graphs of the six trigonometric functions. a. Understand and apply the six basic trigonometric functions as functions of real numbers. b. Determine the characteristics of the graphs of the six basic trigonometric functions. c. Graph transformations of trigonometric functions including changing period, amplitude, phase shift, and vertical shift. d. Apply graphs of trigonometric functions in realistic contexts involving periodic phenomena. MM4A3. Students will investigate and use the graphs of the six trigonometric functions. a. Apply graphs of trigonometric functions in realistic contexts involving periodic phenomena. Wednesday October 9 Review unit circle WS Finding trig values - Radians Thursday October 10 QUIZ—Memorize unit circle QUIZ- Find trig values: degrees & radians Friday October 11 Activity—Deriving parent graph for sine function Monday October 14 How is the sine function graphed? (amplitude, period, domain/range, even/odd) Graphing packet—WS #1 – All problems involving sine Tuesday October 15 How is the cosine function graphed? Graphing packet—WS #1 -- All problems involving cosine Wednesday October 16 PSAT/SENIOR MEETING – Shut down day Complete WS #1 – Sine/Cosine graphs – DUE THURSDAY!!! Thursday October 17 How are sin/cos functions graphed with vertical shift and phase shift? WS #2 -- #1-19 odd Friday October 18 EARLY RELEASE DAY -- More practice with graphing WS #2 -- #2-20 even Monday October 21 How do I write the equation of a sine or cosine function? WS #3 and WS#4 Tuesday October 22 QUIZ – Graphing sine and cosine functions More practice writing equations from a graph WS – More Equation Writing Wednesday October 23 Calculator Skills Calculator Activity Thursday October 24 How do I model with sinusoidal functions to solve application problems? WS – Sinusoidal functions as Mathematical Models Friday October 25 Harmonics day 2 Monday October 28 More harmonics Tuesday October 29 QUIZ – Harmonic Motion and Writing Equations Wednesday October 30 Begin review for test Worksheet 5 Thursday October 31 Continue Review Review WS in packet – Part I #1, 2, 4 Friday November 1 Review WS -- Monday November 4 TEST GRAPHING SINE AND COSINE Part III -- #1, 2 Part II -- #1, 3, 4, 5, 6 Part IV -- #1-5 ****EXPECT UNANNOUNCED UNIT CIRCLE QUIZZES THROUGHOUT THIS UNIT****