Sunday, January 13, 2013

Rule of 4_Real-World Problems

General
At this point we are shifting our angle and radian understanding to actual times and heights.  The purpose of the "leaf bobbing" and "ferris wheel" problems have been to transform your understanding of circular functions to actual situations that can be modeled with trigonometric functions. 

Hopefully, the graphing of the functions has been pretty straightforward  and the recognition of "four to five" different key times and heights connects to your understanding of the unit circle.

Key Products  
  • 4.1 and 4.2 text assignments (especially #49) should be handed in with the last assignment sheet (this should show your understanding of the basic trigonmetric graphs).  Due Monday!
  • Practice Task Handouts - The sinusoidal functions (see my website for some worked out solutions to one of the practice problems)
  • Task (Tuesday or Weds).  You must complete these independently within one class period.  This will count as a test grade.
  • Review packet problems (just for general review).  This does not relate to the task or Ch.4.
Understanding Numerically, Algebraically, and Graphically
  • We have "solved" a couple of practice equations in class.  This basically involves what you already know solving using inverse operations then applying arcsine and arccosine to undo the function.
  • We have not "evaluated" a lot of trig. functions in class but you will need to apply evaluating to our real-world trig. functions
  • You do know how to apply unit circle reference angles and will need to apply that understanding to the actual repeating cycles of a trig. function to show proficient understanding on the task.  It all relates back to 180 +/- the reference angle or 360 - reference angle.  But we are not talking about angles anymore.
You are expected to look at the website tonight and see some worked out solutions if you are stuck on the task practice problems. 

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