News You Can Use (6 Week Session)

Monday

• Read Law of Cosines
• Complete Proving Law of Cosines Task
  

Tuesday

• Complete Trigonometry of General Triangles Discussion 2
• Complete Trigonometry of General Triangles Quiz 2
  

Wednesday

• Complete Trigonometry of General Triangles Project OR Trigonometry of General Triangles Test
  

Thursday

• Read Trigonometric Identities Introduction
• Read Identity
• Complete Trigonometric Identity Discussion 1
  

Friday

• Read Cosine Addition and Subtraction Identities
• Complete Proving Cosine Addition and Subtraction Identities Task
• Complete Trigonometric Identities 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 2

To answer this question, you must recall what you have learned about oblique or non-right triangles. Have you used trig to solve them? If so, how was trig used? If not, why can't trig be used?

Trigonometric Identity 1

To answer this question you need to compare and contrast an identity to an equation? How are they alike, how are they different? How can you tell the difference? You must also provide good examples.

Trigonometry of General Triangles Quiz 2

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

Law of SInes - https://youtu.be/yVquId7xJQY

Law of Cosines - https://youtu.be/pxVAWYOe34c

Solving Oblique Triangles - https://youtu.be/i_ad8H0EMT4

Area of Oblique Triangles - https://youtu.be/cYD20F0WfLc

Trigonometric Identities Quiz 1

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

Fundamental Trig Identities I - https://youtu.be/I4mcja8abDc

Fundamental Trig Identities 2 - https://youtu.be/2wcNbjcL5_c

Fundamental Trig Identities 3 - https://youtu.be/otfj1VDFfIs

Proving Trig Identities - https://youtu.be/OJz-fOzFbEc

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

Proving Law of Cosines Task

You will apply the Law of Cosines to 24 problems. In #1 - 18, you are given a labeled picture. Identify what is given and what you need to find. Use that information to choose the best Law of Cosines formula. Some questions may require you to determine "two" unknowns. You have to think about how to find that information. Use your knowledge of trig. In #19-24, you are given the information (known and what to find) and no picture. You will solve in the same way as #1-18.

Proving Cosine Addition and Subtraction Identity Task

#1. Are they acute, obtuse, straight or right triangles. How do you know?

#2. Look at the angle, what two angles make that angle. Create a number sentence to describe (addition, subtraction, multiplication or division)

#3. What is the ratio for sine? Substitute the actual parts from the triangle into that ratio

#4. Look at the given figure to determine

a-c - read and follow the explicit instructions

a-b - read and follow the explicit instructions

#1 and 2 Use your formula to complete these two problems

Write your two formulas for Cosine Addition and Subtraction

Trigonometry of General Triangles 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

Trigonometry of General Triangles Project (Combining Lots)

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

Draw the diagram and label what is given (include units of measurement). Use the Law of Sines and/or Cosines to determine the measures of the missing sides: DE, CB, AB, CG, GF, FE, DA, AC, and AF. Use the area formula to determine the areas of each triangle. Determine the area of the combined lots. Remember to use the proper units of measure in your answer.

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