Students will use the proportionality of similar triangles to solve problems. They will narrow their focus to similar right triangles in an applied context to justify repeated use of the same ratios, leading to the development of ratios in special right triangles and the use of the calculator to find trigonometric ratios for other triangles. They will apply these tools to solve problems. This mission is aligned with Common Core State Standards: HSG.SRT.C.6, HSG.SRT.C.8.
The fun stuff:
David and Goliath do battle across a river! David uses bearings and similar triangles to calculate the distance to Goliath, and Goliath tries to find trees that are a perfect height for crossing the river! Similarity, proportionality, special right triangles, trigonometric ratios all converge to solve real world problems! Comprehensive and engrossing!
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 proportions relating sides of similar triangles to solve problems.
•Demonstration of the practicality of calculating and keeping ratios at hand for certain triangles.
•Ratios of sides in right triangles depends on the measure of a given acute angle.
•Derivation of ratios in special right triangles.
•Sine, cosine and tangent and their application to problems, with and without a calculator.
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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!