News You Can Use (5 Week Session)

Monday

• Read Trigonometric Functions Introduction
• Read Special Right Triangles
• Complete Right Triangle Investigation Task

Tuesday

• Read Even and Odd Functions
• Complete Trigonometric Functions Quiz 1
• Complete Trigonometric Functions Discussion

Wednesday

• Read Inverse Trig Functions
• Complete Trigonometric Functions Quiz 2

Thursday

• Trigonometric Functions Task: Inverse Trig Functions
  

Friday

• Periodic Functions Project OR Trigonometry Functions Test
  

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.

Trigonometric Functions Discussion

Graph both functions on a graphing calculator. If you do not have one, go to https://www.desmos.com/ and graph both. You will need to change the increments on your x axis to increments of pi (-pi < x <2pi) and your step needs to be pi/2. Think about how you can move one graph so that it looks like the other. Will you add or subtract something? Create an equation that you think will give you that transformed graph on the graphing calculator to verify your guess. Take screenshots or copy your graphs to verify your answer.

Trigonometric Functions Quiz 1

You need to study the following topics. I have included additional video links to assist

you in your learning:

• 30-60-90 and 45-45-90 Triangles: https://youtu.be/6Cb-XzSMXo4
• Solving Special Right Triangles: https://youtu.be/b6MsSkXYQo4

Trigonometric Functions Quiz 2

• Inverse Trig Functions: https://youtu.be/Cb_LLjjqD40
• Inverse Trig Functions and Composition Part 1: https://youtu.be/rGVsolotYmw
• Inverse Trig Functions and Composition Part 2: https://youtu.be/h4bVDw4vZJ8

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

RIght Triangle Investigation Task

All of these problems are real world application problems.

• First you need to read the problem to figure out what is given and what is being asked of you.
  
• In problems #1-3, the pictures are drawn and labeled. In problem #4, you will need to add a diagonal to create the right triangle. In problems #5 and 6, you will need to draw and label your triangle using the given information.

Make sure that you show all work and that you box or circle your answer.

Inverse Trigonmetric Functions Task

You must KNOW your 6 trig ratios and have the unit circle on hand

#1 - 5

• Work in the parenthesis first (inside function). You will see something like tan^(-1) 1. Rewrite this as the tan x = 1 and then ask the question, when is the tangent equal to x. Don't forget about the restrictions!
  
• Next do the outside function by finding the value of the trig function at that angle(s).

#6 -10

• Reverse the order of #1 -5
  

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

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