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# Ambigouous Cases of the Law of Sines

Lesson 10 of 17

## Objective: SWBAT use the Law of Sines to solve oblique triangles.

*50 minutes*

#### Homework Quiz

*10 min*

As a warm-up for today. I am going to have students complete a Homework Quiz over Worksheets #4-6 from this unit.** This quiz is a sampling of questions selected to quickly assess student’s current progress and gain some insight into how thoroughly students are completing their assigned homework.

** If you have personal response systems the quiz is programmed into the HW QUIZ #4-6.flipchart, page 1.

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The ambiguous case of the Law of Sines is always a difficult topic for me to teach. My students really struggle with this concept. In the past I have employed Direct Instruction from a PowerPoint with mixed success. This year, I chose to use a video from TeacherTube that I think really helped my students to stay engaged and better understand the concept for my classes later in the day. I presented Slides 1-6 of the Law of Sines Ambigous Case PowerPoint, then I played the video. From this point, I jumped to Slide 14 and I finished the lesson by having students work the example problems.

** Source URL**: https://www.youtube.com/watch?v=ksBaHrVqhyo (accessed June 25 2014)

#### Resources

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- UNIT 1: Basic Functions and Equations
- UNIT 2: Polynomial Functions and Equations
- UNIT 3: Rational Functions and Equations
- UNIT 4: Exponential Functions and Equations
- UNIT 5: Logarithmic Functions and Equations
- UNIT 6: Conic Sections
- UNIT 7: Rotations and Cyclical Functions
- UNIT 8: Cyclical Patterns and Periodic Functions
- UNIT 9: Trigonometric Equations
- UNIT 10: Matrices
- UNIT 11: Review
- UNIT 12: Fundamentals of Trigonometry

- LESSON 1: What's so special about similar right triangles?
- LESSON 2: Calculator Investigation: Special Right Triangles (Day 1 of 2)
- LESSON 3: Calculator Investigation: Special Right Triangles (Day 2 of 2)
- LESSON 4: Using Trigonometric Ratios (Day 1 of 2)
- LESSON 5: Using Trigonometric Ratios (Day 2 of 2)
- LESSON 6: Clinometer Project (Day 1 of 2)
- LESSON 7: Clinometer Project (Day 2 of 2)
- LESSON 8: Applications of Right Triangle Trig
- LESSON 9: Law of Sines Basics
- LESSON 10: Ambigouous Cases of the Law of Sines
- LESSON 11: Law of Cosines
- LESSON 12: Short Lesson: Quick Clicker Quizzes
- LESSON 13: More on the Laws: Real World Application
- LESSON 14: Trig Jeopardy
- LESSON 15: Fundamentals of Trig Review - Day 1 of 2
- LESSON 16: Fundamentals of Trig Review - Day 2 of 2
- LESSON 17: Fundamentals of Trigonometry Unit Assessment