Pre-Calculus 3126
Chapter 5 - Trigonometric Functions
Vocabulary: standard position of an angle; initial and terminal sides; radian and degree measures; linear and angular speed; area of a sector; unit circle; six circular functions; periodic function; sinusoidal graphs; amplitude, period, phase, and vertical shifts
Writing Prompts: A. Explain angle of elevation and angle of depression. B. What is a radian? Compare radians and degrees. C. Create a table of the six trigonometric functions comparing their domains, ranges, periods, and zeros. D. Write a short paragraph describing the patterns in the trigonometric functions.
Code	LE's & SPI's	Fundamental Course Skills	Sample Assignment
P	Pre-requisite from previous courses.	Find the arc length of a circle.	1.5 Days ~ 5.1      p. 379 #1-79 odd
S	SPI 3.8 Derive and apply the formulas for the area of a triangle and the sector of a circle.	Find the area of a sector of a circle.
S	SPI 3.9 Understand the relationship between measurements in radians and degrees.	Convert between degrees, minutes, seconds, and decimal forms for angles.
S	SPI 3.9 Understand the relationship between measurements in radians and degrees.	Convert from degrees to radians and vice-versa.
S	SPI 3.10 Apply radian measures in problems related to linear and angular velocity.	Find the linear speed of an object traveling in circular motion.
S	SPI 3.1 Define six circular functions.	Find the exact values of a point on the unit circle.	2.5 Days ~ 5.2     p. 395-396 #1-103 odd
S	SPI 3.1 Define six circular functions.	Find the exact values of the trigonometric functions of quadrantal angles.
S	SPI 3.1 Define six circular functions.	Find the exact values of the trigonometric functions of of 30, 45, and 60 degree angles.
S	SPI 3.6 Solve trigonometric equations and inequalities either algebraically or using graphing technology.	Use a calculator to approximate the value of a trigonometric function.
S	SPI 3.2 Sketch graphs of the six trigonometric functions involving period change, amplitude change, phase shift, and/or vertical shift.	Determine the domain and range of the trigonometric functions.	3 Days ~ 5.3        p. 410-412  #1-32 and  #33-91 odd
S	SPI 3.2 Sketch graphs of the six trigonometric functions involving period change, amplitude change, phase shift, and/or vertical shift.	Determine the period of the trigonometric functions.
S	SPI 3.1 Define six circular functions.	Find the values of the trigonometric functions utilizing fundamental identities.
S	SPI 3.1 Define six circular functions.	Find the exact values of the trigonometric functions of an angle given one of the functions and the quadrant of the angle.
S	SPI 3.2 Sketch graphs of the six trigonometric functions involving period change, amplitude change, phase shift, and/or vertical shift.	Graph transformations of the sine and cosine functions.	2 Days ~ 5.4 p. 426-428 #1-12, 15-37 odd 39-52, 53-69 odd
S	SPI 3.2 Sketch graphs of the six trigonometric functions involving period change, amplitude change, phase shift, and/or vertical shift.	Determine the amplitude and period of sinusoidal functions.
S	SPI 3.3 Use trigonometric functions to model periodic phenomena.	Find an equation for a sinusoidal graph.
S	SPI 3.2 Sketch graphs of the six trigonometric functions involving period change, amplitude change, phase shift, and/or vertical shift.	Graph the tangent, cotangent, secant and cosecant functions.	2 Days ~  5.5 p. 435-436 #1-14, 15-33 (3rds)
E	SPI 3.3 Use trigonometric functions to model periodic phenomena.	Find a sinusoidal function from data.	1 Day ~ 5.6 p. 446 #1-15 odd
		Chapter Review	1 Day ~ p. 451-453 #3-72 (3rd)
This chapter should take 17 days with the labs and test.
Lab 6 ~ Catching A Wave  Lab 7 ~ Sketchpad Trigonometry Transformations