Reflection: Student Led Inquiry The Law of Sines: More than Meets the Eye - Section 2: Share

 

After I hinted to students that our answer to question #1 was not complete, the interest level in the classroom immediately spiked. I had students discuss with their table groups to see if they could generate some ideas about what was going on.

One student thought about two angles having the same sine value and came up to the board to draw a picture similar to this. What happened next was impressive as students volleyed their ideas back and forth until we came to an agreement. In response to the drawing, a student said that it cannot work because the side lengths of a triangle cannot be negative (in response to the x-coordinate of the angle being in quadrant II). Building upon that idea, another student noted that we are using the sine of the angle in both cases and both y-coordinates are positive. Furthermore, another student added that 123 degrees would still be a viable option for an angle in a triangle.

It was awesome to see so many students involved in the discussion and each student building off of the next. If I don't get such high quality responses as I did today, sometimes I will express the doubt of a student to see how they will respond.

  Student Led Inquiry: Are Two Angles Possible?
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The Law of Sines: More than Meets the Eye

Unit 6: Additional Trigonometry Topics
Lesson 2 of 12

Objective: SWBAT use the Law of Sines and find the area of non-right triangles.

Big Idea: Using the Law of Sines will throw your students for a loop - there are two possible answers!

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