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News You Can Use (5 Week Session)

June 13 -17, 2016

News You Can Use(5 Week Session)June 13 -17, 2016

Items to Be Completed and/or Turned in for Grading

Monday
  • Read Introduction to your GaVS Course
  • PreCalculculus A Pretest
  • Introduce Yourself Discussion Question
  • Read, Sign, and Upload your Syllabus Acknowledgement Form
  • Read Introduction to Trigonometry
  • Read Angles and Their Measure


Tuesday

  • Read Radians
  • Read Right Triangles and the Unit Circle
  • Complete and Upload Introduction to Trigonometry Task: Right Triangles and the Unit Circle


Wednesday

  • Introduction to Trigonometry Discussion
  • Introduction to Trigonometry Quiz 1


Thursday

  • Introduction to Trigonometry Quiz 2
  • Read Graphs of Sine and Cosine
  • Read Graphs of Other Trigonometric Functions


Friday

  • Introduction to Trigonometry Test
  • OR
  • Introduction to Trigonometry Project [choose one, do not do both]

Guidelines and Hints for Discussion Questions

In order to get full credit on the discussions assignments, you will need to be sure to do a couple of things...

  • Read and make sure you follow the directions provided in the prompt. If the directions tell you to write a paragraph, you will be expected to do just that.
  • When it comes time to respond to the posts of your peers, write a substantive response. "I agree." "Good job!" and "Cool, I didn't think about that" DO NOT COUNT as substantive responses and although you are being supportive and encouraging of your peers, you will not get any participation credit.
  • For both your original response and the responses to your peers, write a few sentences that clearly extends the conversation and shows your teacher that you really have a good understanding of the topic discussed.
  • When you write your posts, also be sure to use proper grammar, spelling, and mechanics. Try not to use the same type of language that you use for texting - You should spell out all of your words.
  • Finally, make sure your posts are clear. You will need to articulate your points and respond in a timely manner.
Introduce Yourself Discussion

Write a paragraph introducing yourself to your teacher and your classmates.


Introduction to Trigonometry Discussion

Think about the relationship between sine and cosine. Look at the points on the unit circle, where do those points come from? What term describes all angles in the first quadrant? What is the relationship of those first quadrant angles to the angles in the other quadrants? What formulas are used to determine these angles?

What to Study Prior to Taking this Weeks' Quizzes

Introduction to Trigonometry Quiz 1

You need to study the following topics. I have included additional video links to assist you in your learning:



Introduction to Trigonometry Quiz 2

You need to study the following topics. I have included additional video links to assist you in your learning:


Hints for This Weeks' Task

DOWNLOAD AND PRINT THE WORKSHEET AND SHOW YOUR WORK ON THE WORKSHEET, BOX YOUR FINAL ANSWER

OR

ON YOUR OWN PAPER: WRITE THE PROBLEM, SHOW YOUR WORK, AND BOX THE ANSWER.


UPLOAD YOUR COMPLETED WORK INTO THE APPROPRIATE DROPBOX


Introduction to Trigonometry Task: Right Triangles and the Unit Circle

For #1-6 Use the Unit Circle to determine the point. Exact value means NO DECIMAL APPROXIMATIONS. Simplify all fractions and radicals. If you have forgotten how to simplify fractions and/or radicals, click either of thelinks below:

Fractions - http://www.mathplayground.com/howto_fractions_reduce.html

Radicals - http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-304s.html


For #7-10 Convert from degrees to radians. Reduce all fractions and leave your answer in terms of pi. Refer to your notes or the content of the course to determine the method.


For #11-13 Convert from radians to degrees. Round your answers to the nearest tenth (two decimal places). Refer to your notes or the content of the course to determine the method.


For #14-16 Use a CALCULATOR to determine the values. Round your answers to the nearest tenth (two decimal places).


For #17-18 Use the given information about the quadrant to draw the triangle in the proper quadrant. Use the trig information to label two sides of the triangle and use the Pythagorean theorem to determine the third side of the triangle. Determine the remaining 5 trig functions.


For #19-20 You are given information about the quadrant. Draw the triangle in the proper quadrant. Use the trig information to label two sides of the triangle and use the Pythagorean theorem to determine the third side of the triangle. Find that specific trig function.


For #21-22 Determine the quadrant that each angle lies using the the following information:

Quadrant I: All 6 are positive

Quadrant II: Sine and Cosecant are positive only

Quadrant III: Tangent and Cotangent are positive only

Quadrant IV: Cosine and Secant are positive only

Assessments (Tests or Projects) This Week

Introduction to Trigonometry Test


  • Review the problems from the two quizzes in this unit, your notes, the course content (do the interactive quizzlets for review) and/or view the videos posted in this and the previous newsletter. Make sure that you have reviewed quiz feedback and attend synch sessions for clarification and practice games/activities.


OR


Introduction to Trigonometry Project

All work must be done BY HAND; No electronic reproductions


#1 and 2: Refer to the formulas provided in the notes to find amplitude, period, phaseshift and vertical shift.


#3-8: You can graph using the characteristics discussed in #1 and 2 or you can plot points from a table or you can graph on a calculator and then look at the points on the table and mimic. If you use a table, you must include it. If you use the trig characteristics , you must include the ones you used and show how it was used.


#9: Use your notes


#10: Graph csc on a graphing calculator and identify all the values in that particular increment.


#11-13: You are given the characteristics of the functions, find a, b, c, and d and use those to write the trig equation.


#14: Use the graph to determine a, b,c, and d and then write the trig equation

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Contact Ms. Watkins

Ms. Watkins has been teaching mathematics for 19 years (online for 3 years). She has a B.S. in Mathematics from Dillard University, a M.S. in Mathematics Education from Florida State University, and is gifted certified and AP certified in Calculus AB and Statistics. She currently teaches at Arabia Mountain High School (DeKalb County School District), where she is the Department Chair and a Senior Class Sponsor, and at Georgia Virtual School.

Email: dierdre.watkins@gavirtualschool.org
Website: https://sites.google.com/site/acceleratedccgpsprecalculus/
Location: Lithonia, GA, United States
Phone: 404-489-2619
Twitter: @WatkinsDierdre