1007936

In this workshop session, elementary and middle school teachers explore scale drawing, similar triangles, and trigonometry in terms of ratios and proportion. Besides explanations and real-world problems, the unit includes video segments that show teachers investigating problems of similarity. To understand the ratios that underlie trigonometry, participants use an interactive activity provided online. This is session 8 of Learning Math: Geometry, a free online course.

Summary

Subject keyword(s)	Arithmetic, Geometry, Mathematics, Number and operations, Plane geometry, Ratio and proportion, Scale, Similarity, Trigonometry
Grade level	Elementary School, Middle School, Vocational/Professional Development Education
Intended audience	Educator, Professional/Practitioner
Resource type	Instructional Material
Resource format	text, text/html
Rights	2003 WGBH Educational Foundation. All rights reserved. 1997-2007 Annenberg Media. All rights reserved.

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Title	Middle School Portal: Math and Science Pathways (MSP2)
Link	http://msteacher2.org/
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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Content contained within the resource

Similarity is one of the "big ideas" in geometry. Note that two things may be similar in colloquial English, but it is a much stronger statement to say that they are mathematically similar. In this session, you will build on your intuitive notions of what makes a "good copy" to build a more formal definition of similarity. You will then look at applications of similar triangles, including triangle trigonometry. For information on required and/or optional materials for this session, see Note 1. Part A: Scale Drawings Part B: Similar Triangles Part C: Trigonometry Homework In this session you will learn to do the following: Explore geometric similarity as "reasoning about proportions" Study similar triangles Explore some basic ideas in trigonometry 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: side-side-side (SSS) congruence triangle inequality angle-angle-angle (AAA) similarity cosine side-angle-side (SAS) similarity side-side-side (SSS) similarity similar sine tangent Next > Part A: Scale Drawings Learning Math Home | Geometry Home | Glossary | Map | © Session 8: Index | Notes | Solutions | Video Home | Catalog | About Us | Search | Contact Us| Site Map Tweet | © Annenberg Foundation 2012. All rights reserved. Privacy Policy