Section: Module 6: Lesson 1: Angles and Arcs | Intro to Algebra & Trigonometry | NextGenU.org
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Student Learning Outcomes:
Upon completion of this lesson, you will be able to:
- Identify an angle drawn in the standard position.
- Identify angles by their classification as acute, obtuse, right, straight, complementary, supplementary, and conjugate.
- Convert from degrees to radians and from radians to degrees.
- Find coterminal angles to a given angle.
- Find the reference angle to a given angle.
- Find the length of an arc of a circle.
- Use the pythagorean theorem to find unknown sides of right triangles.
Click here to start this lesson-
Students mustMark as done
Required Learning Resources and Activities
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Students mustView
Read the entire section on angles. (12 minutes)
Libretexts, UCal, Davis - 2021
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Students mustView
Read Section 7.1.2: Convert Between Degrees and Radians - Pages 815-820. ( 20 minutes)
OpenStax, Rice University - 2015
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Students mustView
Read Section 7.1.3: Coterminal and Referance Angles - Pages 821-824. (17 minutes)
OpenStax, Rice University - 2015
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Students mustView
Read entire page Section 4.4: Reference Angles. (7 minutes)
LumenLearning, Hunter College, CUNY - 2021
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Students mustView
Read Section 5.1: Find the length of a circular arc. (10 minutes)
OpenStax, Rice University - 2015
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Students mustView
Read Section 9.3: Use Properties of Angles, Triangles, and the Pythagorean Theorem (7 minutes).
OpenStax, Rice University - 2015
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Students mustViewStart discussions: 1
In this activity, you will solve a case problem about the use of the Pythagorean theorem and trigonometric functions to find the distance.
Step 1. Review
Review the learning resources for this lesson before studying the case problem.
Step 2. Analyze
Analyze the case problem below.
The Leaning Tower of Pisa is 179 feet long but due to an unstable foundation, it tilts a bit more away from the perpendicular each year, so that it leans at a certain angle 𝜃, as indicated in the accompanying figure.
Step 3. RespondFrom a distance of 100 feet from the center of the base of the tower, the angle of elevation to the top is 64.7 degrees.
Respond to the case problem by showing all the steps you take to solve this problem, and the theorems, properties, or laws you used to enable you to move from step to step in the solution.
Step 4. Share
To share your work, click on the “Add a new discussion topic” button under this post and paste your work in the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).
Step 5: Interact
To complete the activity, you will need to reply to at least two posts made by your peers in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “post to the forum.”OPTIONAL Step 6: Interact (10 minutes)
If you would like to, you can reply to your peers' posts in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to forum.”
- Identify an angle drawn in the standard position.