SOMETHINGS' MATHEMATICAL,     TOO
 THE PYTHAGOREAN THEOREM Lesson title:   Activities connected with  the  Pythagorean Theorem Subject and Grade Level:  9 - 12th  grade Mathematics Brief Description:   The investigation of selected activities connected with the theorem,   which serves as the basis of the distance between two points. Objectives —The students will be able to: 1.   Recognize the importance of the Pythagorean theorem to find the length of a line segment. 2.   Read written presentations of mathematics with understanding. 3.   Understand the concept of Pythagorean Triples. 4.   Demonstrate  proofs of the theorem other than a Euclidean proof. Educational/Skills Goals (Include academic (standards) and Internet goals) 1.   Represent situations that involve variable quantities with expressions and equations. 2.   Ask clarifying and extending questions related to mathematics they have read or heard about. 3.   Appreciate the power of mathematical abstraction and symbolism. 4.   Be able to conduct research (locate, analyze, conclude) Materials Computer with Internet connection Word Processor Pencil and Paper Ruler Scissors Internet resources involved (web addresses) URL:   Proofs site:http://www.cut-the-knot.com/pythagoras URL:   Activities:http://wwwcalpoly.edu/ward URL:   Reference:http://www.ebig.com           URL:   Reference:  http://www.touchplate.com/location.html Other Resources:  School textbooks ;  Encyclopedias Procedure: At the Proofs site find three proofs of the theorem.  Include President Garfield's proof. Draw diagrams showing the development of  each proof.  Indicate the lengths by means of variables. Write  a paper of at least 300 words about Pythagoras and his society. Prepare an oral report,  or a written paper,   on "How  the Pythagorean Theorem affected the ancient world  and our world today". Write a computer or graphing calculator program to generate a list of Pythagorean Triples for values up to 100 Timeline:  3 weeks Non-Internet Activities:  Class assignments on the formula required to find the length between two points.   proofs of the Pythagorean theorem using Euclidean Geometry. Internet Activities:   see above procedure Assessment (Evaluation):  The following Rubric was established for assessment of the project. Excellent  = 4        Very Good =3        Fair =2        Poor =1       Managed time wisely                    4            3            2            1    Used computer and                      4            3            2            1         books as resources    Documented  resources              4            3            2            1    Wrote clear, coherent,      and detailed information           4            3            2            1    Presented to the class                 4            3            2            1    Organized information                 4            3            2            1  _______________________________________________________________ ____________________________________________________ After the lesson is taught, review the following: Set-Up Time Required Class Time Required Problems and Issues that were encountered Successes Recommendations for Improvement
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