Name: Kelly DeNu Contact Info: denuk@goshenlocalschools.org Lesson Title: Researching the Pythagorean Theorem Activity Title: Pythagoras WebQuest Worksheet Title: Pythagoras WebQuest 1 Unit #: 3 Lesson #: 2 Date:23-Jul-13 Activity #: 1 Worksheet: a Name:_________________________________________________Date:__________Period:______ Pythagorean Theorem Webquest (Adapted From http://pberlin.com/pythagoras.htm) Use this data collection sheet and the online resources to answer question about the Pythagorean Theorem. Task 1. Find out facts about Pythagoras. 1. Where and when was Pythagoras born? Did he live there all his life? How old was he when he died? 2. What pursuits did Pythagoras dedicate his life to? 3. Where did he get his schooling? 4. According to Pythagoras, how could the world be best understood? 5. In what other science did the make a contribution and what was it? 6. What were the members of Pythagoras' Philosophical and Religious School expected to do? 7. Pythagoras had several rules for his members. What were some of the rules? http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Pythagoras.html http://en.wikipedia.org/wiki/Pythagoras http://www.iep.utm.edu/p/pythagor.htm http://plato.stanford.edu/entries/pythagoras/ http://scienceworld.wolfram.com/biography/Pythagoras.html http://www.historyforkids.org/learn/greeks/science/math/pythagoras.htm Task 2: Using Pythagorean Theorem in real life: 1. How did the ancient Egyptians use a rope to measure 90 degree angles? 2. How is the Pythagorean Theorem used by carpenter’s when they are building structures? Egyptian angle method: http://www.geom.uiuc.edu/~demo5337/Group3/hist.html Carpenter’s Method: http://www.geom.uiuc.edu/~hipp/app2.html http://www.carpentry-pro-framer.com/pythagorean-theorem.html 2 Task 3: Demonstrate a proof of the Pythagorean Theorem The following link has 72 different proofs of the theorem. Choose one you understand and explain it to the class. http://www.cut-the-knot.org/pythagoras/index.shtml Here are some more links with proofs and explanations: http://jwilson.coe.uga.edu/EMT668/emt668.student.folders/HeadAngela/essay1/Pythagorean.html http://mathforum.org/isaac/problems/pythagthm.html http://standards.nctm.org/document/eexamples/chap6/6.5/index.htm http://www.math.hmc.edu/funfacts/ffiles/10007.2.shtml http://www.sunsite.ubc.ca/LivingMathematics/V001N01/UBCExamples/Pythagoras/pythagoras.html http://www.pbs.org/wgbh/nova/proof/puzzle/theoremsans.html 3