Went over the Law of Cosines handout/homework problems. Passed out study guide for next class's test. Here are some videos to help you with each section of the study guide:
Section 1: Using Pythagorean theorem: https://youtu.be/TTP4Prn1P0Y?t=5m30s (start at 5:30)
another video: https://www.youtube.com/watch?v=ULbpw16X8FY (start at 6:00)
Section 2: Using right triangle trig/sohcahtoa to find a side length - https://www.youtube.com/watch?v=rMyYrAaCsz0
Section 3: Using right triangle trig/sohcahtoa to find an angle measure - https://www.youtube.com/watch?v=isrXeEh7Y3Y
More sohcahtoa review: https://www.youtube.com/watch?v=Ek13B8mCq1E
Section 4: angles of elevation and depression application problems: https://www.youtube.com/watch?v=3H28-wzsF3s
Section 5: law of sines and cosines:
Law of Sines to find a missing side: https://www.youtube.com/watch?v=VjmFKle7xIw
Law of Sines to find a missing angle: https://www.youtube.com/watch?v=IJySBMtFlnQ
Law of Cosines to find a missing side: https://www.youtube.com/watch?v=VTNHGeyR0ow
Law of Cosines to find a missing angle: https://www.youtube.com/watch?v=2aPwOnFCVkQ
Tuesday/Wednesday
Test on trigonometry. No homework :) Passed out calendar and area task for next class, will complete in class Thurs/Fri.
Thursday/Friday
Passed back tests. Launched unit on area by discussing ways area is used in everyone's art major classes. Saw how maps are 2D representations of a 3D planet, so distortion is inevitable and how misrepresenting area can lead to major disagreements about the earth and its peoples. Looked at the foundations of area formulas, working to build reasoning and understanding of the rationale behind their construction rather than rote memorization. Will continue Monday.
In practical terms, many of the shapes whose area we will find and then use to solve problems have measurements that are unknown, so we must think creatively to use our prior knowledge of triangles/trigonometry/quadrilaterals to find the lengths to then be able to compute the area.
Homework: selected critical thinking problems on understanding area worksheet