Trigonometry

Pre-Test	California Content Standards		eTAP Lessons Outside Link		Post-Test
Q&A	1.0	Students understand the notion of angle and how to measure it, in both degrees and radians. They can convert between degrees and radians.	Measuring Angles	Math Factor: Development of Circular Functions Math Factor: Radian Measurement	Q&A
			http://wme.lzu.edu.cn/kimpton/measure_angle.html ?index=/kimpt on/measure_index.html&indexname=back+to+module
Q&A	2.0	Students know the definition of sine and cosine as y-and x-coordinates of points on the unit circle and are familiar with the graphs of the sine and cosine functions.	Definitions Graphing Sine and Cosine Functions	Project Mathematics: Sines and Cosines, Part I (Periodic Functions)	Q&A
			http://www.clarku.edu/~djoyce/trig/functions.html
	3.0	Students know the identity cos² (x) + sin² (x) = 1:
Q&A	3.1	Students prove that this identity is equivalent to the Pythagorean theorem (i.e., students can prove this identity by using the Pythagorean theorem and, conversely, they can prove the Pythagorean theorem as a consequence of this identity).	Identities	Math Factor: Derivation and Use of Trigonometric Identities	Q&A
			http://www.themathpage.com/aTrig/trigonometric-identities.htm
Q&A	3.2	Students prove other trigonometric identities and simplify others by using the identity cos² (x) + sin² (x) = 1. For example, students use this identity to prove that sec² (x) = tan² (x) + 1.	http://www.intmath.com/Analytic-trigonometry/1_Trigonometric-identities.php	Math Factor: Solving Complex Equations Math Factor: Sum and Difference Identities	Q&A
Q&A	4.0	Students graph functions of the form f(t) = A sin (Bt + C) or f(t) = A cos (Bt + C) and interpret A, B, and C in terms of amplitude, frequency, period, and phase shift.	http://www.themathpage.com/aTrig/graphs-trig.htm	Math Factor: Investigating the Properties of a b c and d	Q&A
Q&A	5.0	Students know the definitions of the tangent and cotangent functions and can graph them.	Tangent and Cotangent Functions	Twisted World of Trigonometry, The, Program 2: Trigonometry Functions	Q&A
			http://www.libraryofmath.com/graphs-of-tange nt-and-cotangent.html
Q&A	6.0	Students know the definitions of the secant and cosecant functions and can graph them.	Reciprocal Functions	Twisted World of Trigonometry, The, Program 2: Trigonometry Functions	Q&A
			http://library.thinkquest.org/C0110 248/geometry/trigfnrecip.htm
Q&A	7.0	Students know that the tangent of the angle that a line makes with the x-axis is equal to the slope of the line.	Tangent as the Slope of a Line	Math Factor: Graphing Trigonometric Functions	Q&A
			http://www.clarku.edu/~djoyce/trig/tangents.html
Q&A	8.0	Students know the definitions of the inverse trigonometric functions and can graph the functions.	Inverse of Sine and Cosine Functions	Math Factor: Graphing Trigonometric Function	Q&A
			http://www.ugrad.math.ubc.ca/coursed oc/math100/notes/zoo/invtrig.html
Q&A	9.0	Students compute, by hand, the values of the trigonometric functions and the inverse trigonometric functions at various standard points.	Trigonometric Values of Common Angles	The Twisted World of Trigonometry, Program 4: Graphing Functions	Q&A
			http://www.rism.com/Trig/values.htm
Q&A	10.0	Students demonstrate an understanding of the addition formulas for sines and cosines and their proofs and can use those formulas to prove and/ or simplify other trigonometric identities.	Addition Formulas	Project Mathematics: Sines and Cosines, Part III (Addition Formulas) Project Mathematics: Sines and Cosines, Part II (Trigonometry)	Q&A
			http://library.thinkquest.org/C011 0248/trigonometry/formcosine.htm
Q&A	11.0	Students demonstrate an understanding of half-angle and double-angle formulas for sines and cosines and can use those formulas to prove and/ or simplify other trigonometric identities.	Half-Angle and Double-Angle Formulas	The Twisted World of Trigonometry, Program 6: Angle Formulas	Q&A
			http://www.themathpage.com/aTrig/double-proof.htm
Q&A	12.0	Students use trigonometry to determine unknown sides or angles in right triangles.	Other Functions	Project Mathematics: Sines and Cosines, Part I (Periodic Functions) Project Mathematics: Sines and Cosines, Part II (Trigonometry)	Q&A
			http://www.themathpage.com/aTrig/t rigonometry-of-right-triangles.htm
Q&A	13.0	Students know the law of sines and the law of cosines and apply those laws to solve problems.	The Law of Sines The Law of Cosines	The Twisted World of Trigonometry, Program 3: Triangles	Q&A
			http://www.clarku.edu/~djoyce/trig/laws.html
Q&A	14.0	Students determine the area of a triangle, given one angle and the two adjacent sides.	Areas of Triangles	The Many-Sided World of Geometry, Program 6: Figuring Out Area	Q&A
			http://www.regentsprep.org/Regents /mathb/5E1/areatriglesson.htm
Q&A	15.0	Students are familiar with polar coordinates. In particular, they can determine polar coordinates of a point given in rectangular coordinates and vice versa.	Polar Coordinates	Discovering Math: Concepts in Geometry and Measurement: Coordinate Geometry	Q&A
			http://planetmath.org/encyclopedia/PolarC oordinates.html
Q&A	16.0	Students represent equations given in rectangular coordinates in terms of polar coordinates.	Graphing Equations	Math Factor: Solving Complex Degree Equations	Q&A
			http://archives.math.utk.edu/visual.calculus/0/pol ar.6/index.html
Q&A	17.0	Students are familiar with complex numbers. They can represent a complex number in polar form and know how to multiply complex numbers in their polar form.	Complex Numbers	Discovering Math: Concepts in Number Theory	Q&A
			http://cnyack.homestead.com/files/MathB gnd/com_nos.htm
Q&A	18.0	Students know DeMoivre's theorem and can give nth roots of a complex number given in polar form.	De Moivre’s Theorem		Q&A
			http://scholar.hw.ac.uk/site/maths/topic17.asp
Q&A	19.0	Students are adept at using trigonometry in a variety of applications and word problems.	Finding Unknown Sides and Angles	Discovering Math: Concepts in Precalculus I: Trigonometry	Q&A
			http://www.clarku.edu/~djoyce/trig/apps.html