Teacher2Teacher |
Q&A #3824 |
From: Loyd
To: Teacher2Teacher Public Discussion
Date: 2003032016:41:03
Subject: Re: Re: Geometry- Pythagorean Theorem and its Converse
Sally: Have your students go to: http://aleph0.clarku.edu/~djoyce/mathhist/plimpnote.html and read about the Plimpton Stone 322. This shows that there was knowledge of the Pythagorean Theorem before Pythagorus was born. You might show them that a 3 inch square plus a 4 inch square will be the same weight as a 5 inch square. Same with right triangles. You might demonstrate to them that a 3 inch water pipe and a 4 inch water pipe will carry the same amount of water as a 5 inch water pipe. A three inch pizza and a 4 inch pizza will be the same size as a 5 inch pizza. You might multiply each of these numbers by two to get a more reasonable size. Have the students use this theorem to demonstrate how to square the corner of a house or maybe a pyramid. If you get tired of using the (3,4,5) triple or the (5,12,13) triple, you might try some of these which are arranged according to the size of the angle formed between the hyp and the adj. These angles are in steps of 1 degree. Take a look at the last one. This is almost a square. x=Adj y=Opp r=Hyp 6612 115 6613 1624 57 1625 760 39 761 420 29 421 264 23 265 180 19 181 1196 147 1205 920 129 929 1435 228 1453 525 92 533 476 93 485 357 76 365 1209 280 1241 1600 399 1649 1380 371 1429 1080 329 1129 391 120 409 176 57 185 35 12 37 140 51 149 352 135 377 925 372 997 2301 980 2501 520 231 569 77 36 85 80 39 89 589 300 661 15 8 17 340 189 389 780 451 901 299 180 349 2444 1533 2885 665 432 793 1088 735 1313 325 228 397 1225 888 1513 20503 15504 25705 741 580 941 420 341 541 105 88 137 1932 1675 2557 72 65 97 460 429 629 924 893 1285 697 696 985
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