Teacher2Teacher

Q&A #3824

Teachers' Lounge Discussion: Pythagorean Theorem

_____________________________________
T2T || FAQ || Ask T2T || Teachers' Lounge || Browse || Search || Thanks || About T2T
_____________________________________

View entire discussion
[<< prev] [ next >>]

From: Loyd <loydlin@aol.com>
To: Teacher2Teacher Public Discussion
Date: 2003032017:41:03
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
		

Post a reply to this message
Post a related public discussion message
Ask Teacher2Teacher a new question


[Privacy Policy] [Terms of Use]

_____________________________________
Math Forum Home || The Math Library || Quick Reference || Math Forum Search
_____________________________________

Teacher2Teacher - T2T ®
© 1994-2014 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Drexel School of Education.The Math Forum is a research and educational enterprise of the Drexel University School of Education.