Shadow Activity - Similar Triangles and Trigonometry (Geometry Outdoor Activity)
Common Core Aligned Activity or Lab Project
This is a student led activity or project where students have an opportunity to apply similar triangles and trigonometry concepts in a real world situation. Students will be required to find the height of an object (indirectly) that would otherwise be very difficult to measure and then they will have to find the angle of elevation of the sun. The project also has an extended activity where students can check their work with an inclinometer.
This activity also includes guided questions and questions for discussion before and after the project.
Part 1 - Find the height of an object that would otherwise be very difficult to measure.
Part 2 - Find the angle of elevation of the sun.
Extended - Check your answer with an inclinometer.
Common Core State Standards:
N.Q.2 – Define appropriate quantities for the purpose of descriptive modeling.
N.Q.3 – Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.
G.SRT.5 – Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
G.SRT.8 – Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
G.MG.1 – Use geometric shapes, their measures, and their properties to describe objects.
G.MG.3 – Apply geometric methods to solve design problems.
MP1. Make sense of problems and persevere in solving them.
MP3. Construct viable arguments and critique the reasoning of others.
MP4. Model with mathematics.
MP5. Use appropriate tools strategically.
MP6. Attend to precision.
Click here for a lesson over problem solving with trigonometry!
----Chapter: Right Triangles and Trigonometry----
Problem Solving with Trigonometry
Geometry - Complete Curriculum Map
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© Ashley Spencer, 2014
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The Common Core Standards were written and developed by The National Governors Association Center for Best Practices and Council of Chief State School Officers. © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.
This product is the work of Ashley Spencer (“Infinitely Pi Learning”). It is intended to support the implementation of the Common Core Standards. Any claim of alignment is the personal opinion of Ashley Spencer (“Infinitely Pi Learning”) and is not necessarily the opinion of the National Governors Association Center for Best Practices and Council of Chief State School Officers. No approval by, nor the association with, the creators of the Common Core Standards is intended or implied.
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Thank you to elk11
Similar Triangles Activity and Trig Activity Application