1. Pythagorean Theorem By Crystal Cantley

7. Resources Software: Spreadsheet, The Geometer’s Sketchpad (Key Curriculum Press) Book: Bennett, D. (1995). Pythagoras plugged in: Proofs and problems for The Geometer’s Sketchpad . Berkeley, CA: Key Curriculum Press. Other: Rulers, cardboard, straight-edge ruler, scissors, paper, pencil Web Resources Title: Pythagorean Theorem Information URL: http://mathforum.org/dr.math/faq/faq.pythagorean.html Annotation: Basic information about the Pythagorean Theorem. Title: The Pythagorean Theorem URL: http://mathforum.org/library/drmath/view/54713.html Annotation: Explains the Pythagorean Theorem. Title: How Tall is Hal? URL: http://mathforum.org/library/drmath/view/55302.html Annotation: A problem that requires the use of the Pythagorean Theorem. Title: Inverse Pythagorean Theorem URL: http://mathforum.org/library/drmath/view/55309.html Annotation: Discusses the inverse of the Pythagorean Theorem. Title: Pythagorean Theorem URL: http://mathforum.org/library/drmath/view/57232.html Annotation: Explains the Pythagorean Theorem. Title: President Garfield and the Pythagorean Theorem URL: http://mathforum.org/library/drmath/view/57552.html Annotation: Provides information about President Garfield's proof of the Pythagorean Theorem. Title: Converse of the Pythagorean Theorem URL: http://mathforum.org/library/drmath/view/62215.html Annotation: Information about the converse of the Pythagorean Theorem. Title: How Many Proofs of the Pythagorean Theorem URL: http://mathforum.org/library/drmath/view/62539.html Annotation: Provides information about the various proofs of the Pythagorean Theorem.

8. Associated Technology Standards http://www.iste.org/Content/NavigationMenu/NETS/ForStudents/2007Standards/NETS_for_Students_2007.htm 1) Creativity and Innovation Students demonstrate creative thinking, construct knowledge, and develop innovative products and processes using technology. (Activities 1, 3, 4, 7, & 9) a.) apply existing knowledge to generate new ideas, products, or processes. d.) identify trends and forecast possibilities. 2) Communication and Collaboration Students use digital media and environments to communicate and work collaboratively, including at a distance, to support individual learning and contribute to the learning of others. (Activities 1 & 2) a.) interact, collaborate, and publish with peers, experts, or others employing a variety of digital environments and media. d.) contribute to project teams to produce original works or solve problems. 3) Research and Information Fluency Students apply digital tools to gather, evaluate, and use information. (Activity 5) a.) plan strategies to guide inquiry. b.) locate, organize, analyze, evaluate, synthesize, and ethically use information from a variety of sources and media.

9. Associated Technology Standards (Continued…) http://www.iste.org/Content/NavigationMenu/NETS/ForStudents/2007Standards/NETS_for_Students_2007.htm 4) Critical Thinking, Problem Solving, and Decision Making Students use critical thinking skills to plan and conduct research, manage projects, solve problems, and make informed decisions using appropriate digital tools and resources. (Activities 2, 3, 6, 7, 9) c) collect and analyze data to identify solutions and/or make informed decisions. 5) Digital Citizenship Students understand human, cultural, and societal issues related to technology and practice legal and ethical behavior. (Activities 1, 2,3) b) exhibit a positive attitude toward using technology that supports collaboration, learning, and productivity. 6) Technology Operations and Concepts Students demonstrate a sound understanding of technology concepts, systems, and operations. (Activity 3) a.) understand and use technology systems. b.) select and use applications effectively and productively.

10. Associated Curriculum Standards NYS Math Standards Geometry Strand http://www.emsc.nysed.gov/ciai/mst/mathstandards/revisedg7.html Students will identify and justify geometric relationships, formally and informally. Geometric Relationships 7.G.5 Identify the right angle, hypotenuse, and legs of a right triangle 7.G.6Explore the relationship between the lengths of the three sides of a right triangle to develop the Pythagorean Theorem 7.G.8 Use the Pythagorean Theorem to determine the unknown length of a side of a right triangle 7.G.9 Determine whether a given triangle is a right triangle by applying the Pythagorean Theorem and using a calculator