Students will extend their understanding of trigonometric ratios to include the inverses of trigonometric functions. They will apply trigonometric ratios and their inverses to a variety of real-world problems, including in the context of special right triangles. This mission is aligned with Common Core State Standards: HSG.SRT.C.8.
The fun stuff:
Wingsuit fliers try to zip over mountains, but do they have the right angle of depression to do so? Inverse trigonometric functions in real-world contexts build a connection between the tangent ratio and slope. Students solve a variety of real-world problems involving battles across rivers, basketballs dropped from balloons and more! Ties together trigonometry, functions, inverses, special right triangles and solving triangles. Both expansive and deep!
The zip file includes:
★The mission. (12 pages).
★A two-page Quick Start guide for teachers. Detailed and helpful!
★Selected Answers in pdf form.
★Selected Answers online, password protected. For students to correct at home!
The mission includes:
•Using trigonometry to find ratios and sides from given acute angles in real-world contexts.
•Reversing this process to find angles given two sides.
•The notation for this process.
•Application to special right triangles.
•Solving any right triangle using trigonometry and the Pythagorean Theorem.
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About Courage To Core:
We all have an innate curiosity about how the world works. We are wired to experiment at the edges of our knowledge, to look for patterns and to draw conclusions. Mistakes are the welcome surprises which help us refine the experiment. In a student-centered classroom, students collaborate to ask questions, gather data, interpret results and articulate understanding. Success at the edge of knowledge demands persistence and creativity. Courage To Core provides a context for students to work together to become the agents of their success and the owners of their cognition. If you like Courage To Core, please give me a positive rating to help me get started on TpT! You get credits towards future TpT purchases with every rating you give! Just revisit the purchased item in my store and scroll down to star me! Thanks!