News You Can Use (5 Week Session)

Monday

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

Tuesday

• Read Law of Sines
• Complete Proving Law of Sines Task
• Complete Trigonometry of General Triangles Quiz 1
  

Wednesday

• Read Law of Cosines
• Complete Proving Law of Cosines Task
• Complete Trigonometry of General Triangles Discussion 2
  
• Complete Trigonometry of General Triangles Quiz 2
  

Thursday

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

Friday

• Read Trigonometric Identities Introduction
• Read Identity
• Complete Trigonometric Identity Discussion 1
  
• Read Cosine Addition and Subtraction Identities
• Complete Proving Cosine Addition and Subtraction Identities Task
  

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 1

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 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 Discussion 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 1

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

Trigonometry of General Triangles Quiz 2

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

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

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).

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

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

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