Shape
Copyright David & Cynthia Thomas, 2009
Sides, Angles, Interior Lines & Points--Directed Activity: Pythagorean Theorem
The directed activities in this section provide a context in which to investigate the question
· What relationships exist between the sides, angles, and interior lines and points of a given triangle?
Focus |
Investigate the Pythagorean relationship. |
Technologies |
· Paper & pencil · Pythagorean Theorem (National Library of Virtual Manipulatives) http://matti.usu.edu/nlvm/nav/frames_asid_164_g_1_t_3.html · Understanding the Pythagorean Relationship Using Interactive Figures http://standards.nctm.org/document/eexamples/chap6/6.5/ · Pythagorean Theorem and its Many Proofs |
Background |
Figure 2.13: 3-4-5 Pythagorean Triangle
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Tasks |
· Explain the relationship between the algebraic formula and the object in Figure 2.13. · Sketch two other objects that illustrate the same relationship. |