1007936
This online workshop session offers practical experience in the use of trigonometry. Teachers work together on examples of measuring impossible distances and inaccessible heights as they explore a number of methods for indirect measuring. They learn about right triangle trigonometry and use trig ratios to solve problems. This is one session from Measurement, a free online course developed for elementary and middle school teachers.
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| Title | Middle School Portal: Math and Science Pathways (MSP2) |
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| Link | http://msteacher2.org/ |
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| Description | The Middle School Portal 2: Math and Science Pathways (MSP2) supports middle grades educators with high-quality, standards-based resources and promotes collaboration and knowledge-sharing among its users. Educators use MSP2 to increase content knowledge in science, mathematics, and appropriate pedagogy for youth ages 10 to 15. MSP2 employs social networking and digital tools to foster dynamic experiences that promote creation, modification, and sharing of resources, facilitate professional development, and support the integration of technology into practice. MSP2 is a project of the Ohio State University College of Education and Human Ecology, National Middle School Association, and Education Development Center, Inc., and is funded by the National Science Foundation. The partners integrate resources, tools, and services across projects, and support multiple methods of resource discovery to meet the needs of this audience. |
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How do people determine lengths when they can't use standard measuring tools, such as a tape measure? How do they find the distance across a river if, for example, they don't have a boat? Measurements of very large objects or of long distances are often made indirectly, using similar triangles and proportions. Such indirect methods link measurement with geometry and number. For information on required and/or optional materials for this session, see Note 1. Part A: Indirect Measurement With a Transit Part B: Measuring Heights of Tall Objects Part C: Steepness and Trigonometry Homework In this session, you will do the following: Explore a number of methods for indirect measuring, such as using similar triangles, shadows, and transits Learn about right-triangle trigonometry Learn about the relationships between steepness, angle of elevation, and height-to-distance ratio (tangent ratio) Use trigonometry ratios to solve problems involving right triangles Throughout the session you will be prompted to view short video segments. In addition to these excerpts, you may choose to watch the full-length video of this session. Previously Introduced: New in This Session: ratio scale factor proportion similar triangles tangent Next > Part A: Indirect Measurement With a Transit Learning Math Home | Measurement Home | Glossary | Map | © Session 5: Index | Notes | Solutions | Video Home | Catalog | About Us | Search | Contact Us| Site Map Tweet | © Annenberg Foundation 2012. All rights reserved. Privacy Policy
