This document outlines the goals, essential questions, enduring understandings, and products for a trigonometry course. The goals are to explore trigonometry's history, solve real-world problems using trig functions, and simplify functions using identities. Key questions address the functions, history, and use of identities. Students will demonstrate understanding through a review test, timeline, unit circle diagram, and resource wiki. Reflections note rediscovering forgotten concepts and complexity, with a need to further explore applications.
2. Course GoalsExplore the history of trigonometry. (When it was first discovered)Solve applications of the trigonometric function in real world problems.Use trigonometric identities to simplify trigonometric functions.Construct the unit circle
3. Essential QuestionsWhat are the trigonometric functions and their applications in other subjects in math and the real world?When in the history of math was trigonometry developed/discovered?How are the trigonometric functions and identities used to solve trigonometric problems?
4. Enduring UnderstandingCalculation and reasoning mathematical and non mathematical ideas is important for math and life.Important for students to be able totranslate mathematical formulas and solutions to real-life applications.
9. Useful ResourcesTrigonometry Laws and Identities. (2009) Retrieved November 15, 2010, from http://www.ecalc.com/math-help/worksheet/trigonometry-identitiesSullivan, M. (2008). Precalculus (Eighth ed.). Upper Saddle River: Pearson Prentice Hall.patrickJMT (Producer). (2008, October 6). A way to remember the entire unit circle for trigonometry. [Video file] Retrieved from http://www.youtube.com/watch?v=cIVpemcoAlY&feature=relatedHistory of Trigonometry. (2010) Retrieved November 10, 2010, from http://en.wikipedia.org/wiki/History_of_Trigonometry
10. ReflectionsThis project has made me Realize that how much trigonometry I had forgotten because I have not used it recentlySee how complex of a subject the trigonometry is There are a lot more applications of trigonometry that I need to explore and apply.