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Schedule Weeks 3-4

Week Date Topic Homework Due Reading Goals / Notes
3 2/20/06 No class: President's Day    
2/21/06 No workshop this week
2/22/06 Applications of Geometric Series PS6: §18.1 #30; §18.2 #12, 13, 14; §18.4 #4, 10, 12, 13 §18.5 To use geometric sums and series to solve problems in a variety of contexts, to gain experience in communicating mathematical ideas
2/23/06 Problem Sessions: Mandatory review sessions for anyone who did not pass the first gateway.
2/24/06 Sine and Cosine (19.1) PS7: §18.5 #4, 11, 16, 19
§19.1, particularly p. 594 and 599 Understand how to define the sine and cosine functions as a function of arc length on the unit circle, Be able to approximate the sine and cosine, Understand and be able to use some trigonometric identities
4 2/27/06 Graphs of Sine and Cosine (19.2)

PS8: §19.1 #1, 2, 3, 4, 5, 6
[ Calibrated Unit Circle]

§19.2, particularly p. 603-4 Be familiar with the graphs of the sine and cosine, Be able to identify the period, balance value, and amplitude of a sinusoidal graph, Be able to write an equation whose graph matches the given sinusoidal graph
2/28/06 Workshop #2
3/1/06 Tangent Function, Angles, and Arc Length (19.3 & 19.4) PS9: §19.2 #5, 9, 10 [6 and 14 are recommended but you don't have to turn in]
§19.3 and 19.4 Understand the definition of tangent as the slope of a certain line, Understand the graph of the tangent, including the relationship to the graphs of the sine and cosine, Be able to use radian measure of angles, Be comfortable with the relationship between radian measure and arc length, Be able to find trigonometric functions of angles by taking advantage of circle symmetry
3/2/06 Problem Sessions
3/3/06 Right triangle trigonometry (20.1 & 20.2) PS10: §19.3 #3, 4, 10; §19.4 #2, 3, 4, 6, 11
§20.1 Be able to use a right triangle to find trigonometric functions, Be able to solve real-world problems using right triangles and trig functions, Be familiar with 45-45-90 and 30-60-90 triangles
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