News You Can Use (6 Week Session)

Monday

• Complete Trigonometric Functions Task: Inverse Trig Functions
  

Tuesday

• Complete Periodic Functions Project OR Trigonometry Functions Test
  

Wednesday

• Read Trigonometry of General Triangles Introduction
• Read Area of Triangles
• Complete Finding a New Area Formula for Triangles Learning Task
• Complete Trigonometry of General Triangles Discussion 1
  

Thursday

• Read Law of Sines
• Proving Law of Sines Task
  

Friday

• Complete Trigonometry of General Triangles Quiz 1

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.

Trigonometry of General Triangles Discussion

This is an extension of the task. You are to use the formula you came up with in #4 and compare to the #4 formula of another student. Tell whether it's the same or different and then determine if you can come up with a third formula.

Trigonometry of General Triangles Quiz

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

Area of Oblique Triangles, SSS, SAS, and Heron's Formula: https://youtu.be/pyftYzmOwr4

Solving Oblique Triangles: https://youtu.be/Kq5ng9Cq-eA

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

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 (you may have more than one answer on the unit circle; list them all)
  
• 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

Finding a New Area for Triangles Task

#1 and #2 - Look at the picture provided and THINK about area of a triangle. What do you need and what don't you have in the diagram? Additionally, what can you do to get what you need?

#3 - Determine the heights of both triangles using something you learned previously. Show your work. Use the heights to determine the areas of both triangles and then the total area.

#4 - Draw a triangle using the guidelines provided. Determine the height (you will have variables and not numbers. Then determine a formula for Area

#5 and 6 - Answer in the discussion question.

Proving the Law of Sines Task

You have to complete 6 problems by doing the following:

• Draw and label the triangle
• Determine the type of triangle: AAS, SAS, ASA, or SSA
• Solve the triangle using Law of SInes. Solutions should make sense (THINK).

Introduction to Trigonometry Functions 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

Periodic Functions Project

All work must be done BY HAND; No electronic reproductions other than a graph.

For this project, you must make up two trig functions using the format provided.

You will then answer the questions and fill out the requested information for each graph

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