Wednesday, October 24, 2012
Geometry Introduction
Today we defined the term POLYGON. We reached a consensus as to a working definition for the term polygon that will suit our purposes. Did any of you discover a different definition that you also found useful?
Watch the video that will help reinforce learning.
Then you went on a hunt for prefixes that represented multi sided figures.
Please share some of your learning as a post.
Thanks K.P. for this helpful website:
http://www.basic-mathematics.com/prefixes-used-in-math.html
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these are the geometry prefixes:
ReplyDeleteUni, mono, or solo: one
Bi or duo: two
Tri: three
Tetra, quad: Four
Penta, quint, or quin: Five
Sex, hex, hexa: six
Hepta, sept, or hept: seven
Octa, octo, or oct: eight
Nona, non, nov, or ennea: Nine
Deca or dec: Ten
Dodeca: twelve
Icosa, or vigint: twenty
Triaconta, or trigint: thirty
Tetraconta, or quadragint: fourty
Pentaconta or quinquagint: fifty
Hexaconta or hexagint: sixty
Heptaconta or septuagint: seventy
Octaconta or octogint: eighty
Enneaconta or nonagint: ninety
Cent or hect : one hundred
Mille or kilo: one thousand
Myria : ten thousand
Mega: Million
Hectokilo: one hundred thousand
Giga: Billion
Tera: trillion
Peta: quadrillion
Exa: quintillion
Zetta: sextillion
Yotta: heptillion
Deci: tenth
centi: hundredth
Milli: thousandth
Micro: Millionth
Nano: Billionth
Pico: trillionth
Fento: quadrillionth
Atto: quintillionth
Zepto: sextillionth
Yocto: heptillionth
Number Prefix Symbol
ReplyDelete10 1 deka- da
10 2 hecto- h
10 3 kilo- k
10 6 mega- M
10 9 giga- G
10 12 tera- T
10 15 peta- P
10 18 exa- E
10 21 zeta- Z
10 24 yotta- Y
10 -1 deci- d
10 -2 centi- c
10 -3 milli- m
10 -6 micro-
10 -9 nano- n
10 -12 pico- p
10 -15 femto- f
10 -18 atto- a
10 -21 zepto- z
10 -24 yocto- y
And these are some math prefixes
This is the after decimal prefixes up to heptillionth
ReplyDeleteDeci: tenth
centi: hundredth
Milli: thousandth
Micro: Millionth
Nano: Billionth
Pico: trillionth
Fento: quadrillionth
Atto: quintillionth
Zepto: sextillionth
Yocto: heptillionth
A.P. D.F.
These are the ones that we didn't mention in our previous comment.
ReplyDeleteDeca or dec: Ten
Dodeca: twelve
Icosa, or vigint: twenty
Triaconta, or trigint: thirty
Tetraconta, or quadragint: fourty
Pentaconta or quinquagint: fifty
Hexaconta or hexagint: sixty
Heptaconta or septuagint: seventy
Octaconta or octogint: eighty
Enneaconta or nonagint: ninety
Cent or hect : one hundred
A.P. D.F.
yotta=1000000000000000000000000
ReplyDeleteDid you know that the prefix of 30: triaconta and that there is a prefix for every number ever created yet i struggle to find one for infinity
ReplyDelete:D
I learned a lot more about numbers at that site. I also found out that an easier way to write Googolplex is 10 to the power of 10 to the power of 100!!!
ReplyDeleteI noticed that from thirty to ninety the last five numbers of the prefix is CONTA.
ReplyDeletei found it interesting how 1 billion was giga like in the word gigabyte while million was mega and trillion was tera and I found out that Terabytes are the biggest and that megabytes are the smallest ways to talk about storage space on a computer .
ReplyDeleteUni, mono, or solo: one
ReplyDeleteBi or duo: two
Tri: three
Tetra, quad: Four
Penta, quint, or quin: Five
Sex, hex, hexa: six
Hepta, sept, or hept: seven
Octa, octo, or oct: eight
Nona, non, nov, or ennea: Nine
Deca or dec: Ten
Dodeca: twelve
Icosa, or vigint: twenty
Triaconta, or trigint: thirty
Tetraconta, or quadragint: fourty
Pentaconta or quinquagint: fifty
Hexaconta or hexagint: sixty
Heptaconta or septuagint: seventy
Octaconta or octogint: eighty
Enneaconta or nonagint: ninety
Cent or hect : one hundred
Mille or kilo: one thousand
Myria : ten thousand
Mega: Million
Hectokilo: one hundred thousand
Giga: Billion
Tera: trillion
Peta: quadrillion
Exa: quintillion
Zetta: sextillion
Yotta: heptillion
Deci: tenth
centi: hundredth
Milli: thousandth
Micro: Millionth
Nano: Billionth
Pico: trillionth
Fento: quadrillionth
Atto: quintillionth
Zepto: sextillionth
Yocto: heptillionth
i found that above tera there is yotta then even more bronto which has 27 zeros or 27 to the power of 27
ReplyDeleteI noticed that the word hex is not only in six but also in the prefix 60 same for alot of the other numbers
ReplyDeleteso you know the bytes in computer ( i know it's off topic but) it goes bit.byte,bla bla up to terra,bronto and GEO
ReplyDeleteI think it is really cool how numbers never end and there are polygons like yocto orpico or atto.
ReplyDeleteI found out that the terms could keep going forever because like number theres no limit.
ReplyDeleteI just noticed that, this is kind of off topic, but numerous of the prefixes are similar to their French cousins. Examples;
ReplyDeleteCent is French for 100, and in is also a prefix for 100.
Mille is French for 1000, and is also a prefix for 1000.
Those are all I can find quickly at the moment, but reply if you find any other similarities! (in French or not, I don't speak other languages so I don't know if there are similarities between other languages or what)
Uni, mono, or solo: one
ReplyDeleteBi or duo: two
Tri: three
Tetra, quad: Four
Penta, quint, or quin: Five
hex, hexa: six
Hepta, sept, or hept: seven
Octa, octo, or oct: eight
Nona, non, nov, or ennea: Nine
Deca or dec: Ten
Dodeca: twelve
Icosa, or vigint: twenty
Triaconta, or trigint: thirty
Tetraconta, or quadragint: fourty
Pentaconta or quinquagint: fifty
Hexaconta or hexagint: sixty
Heptaconta or septuagint: seventy
Octaconta or octogint: eighty
Enneaconta or nonagint: ninety
Cent or hect : one hundred
Mille or kilo: one thousand
Myria : ten thousand
Mega: Million
Hectokilo: one hundred thousand
Giga: Billion
Tera: trillion
Peta: quadrillion
Exa: quintillion
Zetta: sextillion
Yotta: heptillion
Deci: tenth
centi: hundredth
Milli: thousandth
Micro: Millionth
Nano: Billionth
Pico: trillionth
Fento: quadrillionth
Atto: quintillionth
Zepto: sextillionth
Yocto: heptillionth
I found the video very useful for the definition of polygon and the milti-sided shapes that reach from 1-10 in the number of sides. If we are talking about the polygon definition I would replace the term "closed figure" with the explanation: figure that can be traced with the same starting and stopping points, and without crossing or retracing any part of the figure.
ReplyDeleteFor some people this might be a great trick to remember prefixex. You have to think about something with the same prefix like octo = 8 so an octopus has 8 legs also. Or you can also use tri=3 and a tri-cycle has 3 wheels.
I learned that the first 5 prime number of sides a polygon could have are: 3, 5, 17, 257, and 65,537 sides.
TYPES OF POLYGONS:
Simple or Complex:a simple polygon has only one boundary, and it doesn't cross over itself. A complex polygon intersects itself! Many rules about polygons don't work when it is complex.
Concave or Convex: A convex polygon has no angles pointing inwards. More precisely, no internal angles can be more than 180°.
If there are any internal angles greater than 180° then it is concave. (Think: concave has a "cave" in it)
Regular or Irregular:If all angles are equal and all sides are equal, then it is regular, otherwise it is irregular.The simplest regular polygons are the equilateral triangle, the square, the regular pentagon (of 5 sides), and the regular hexagon (of 6 sides).
The Greeks had developed methods of constructing these four polygons using only a straightedge and compass, they were unable to do the same for the regular heptagon (of 7 sides)
V.F.
I wonder what a yoctagon would look like.
ReplyDelete