I then filled the table with a few values from the geo-paper, and saw a pattern that soon led to a formula. I found the area for all of them by looking at the figure. Freddie, Sally, and Frashy. With this table set up, I made some different polygons on geo-paper attachedand plugged them into the table.
Then I tried to work with the equations I already had, from the other two. Using these two formulas for reference, we have to find a formula that anyone can use to find the area of any polygon by knowing the number of pegs on the boundary and interior.
For Sally I followed my luck of the 3 column T-Table, and drew another with the same guidelines.
This table helps a lot for finding patterns. So I have the answer. It was very frustrating. I then put the table entries I had, into order, by the area.
I noticed patterns in groups, I saw a pattern if there were 0 pegs on the interior, or 1 peg on the interior, but not one that flowed through-out them all. And last, if you had the number on the interior, and the number on the boundary, you could get the area.
In order to do this, there are two formulas given to help you. I started drawing shapes, and then filling in their properties, as I did earlier.
Using her formula, she can give you the area immediately. Process The first two equations, were a preparation for the final, building up towards the complete idea. This works in all shapes with no interior pegs, like Freddie described.
This helped, because I could complete the first two pretty quickly. This formula worked for all values that I plugged in. I had the figure in one column, then the pegs on the interior, pegs on the boundary, and finally, the area.
This works in all shapes with no interior pegs, as the problem said. The first was to find one that if you knew that there were four pegs on the boundary, and none on the interior, you could get the area.
So I thought to myself what this equation, or formula, would have to include. The figure, the interior pegs inand the area out. After much thought and much time looking at the two equations, I realized there would have to be two variables. The other formula tells how to get the area by having a polygon with exactly four pegs on the boundary.
And, of course, incorporating these variables with each other will give me my Out value. This means that there are two In values. The second was if you knew that there were 4 pegs on the boundary, and you knew how many were on the interior, you could get the area.Just Count the Pegs POW. Problem Statement: For Sally, we found a formula that would fit any polygon that has only four pegs on the boundary, but you just have to tell her the number of pegs it has in the interior.
And finally for Frashy, we had to find one single formula that could work with any polygon we make on the geoboard, and the. POW 8 Problem Statement- For this POW, our task was to find the best formula for finding the area of any polygon that is formed on a geoboard.
In order to do this, there are two formulas given to help you. One tells how to get the area of a polygon based on the number of pegs on the boundary. Read this History Other Essay and over 88, other research documents.
Imp 2 Pow 8 Just Count the Pegs. Problem Statement My task was to find 3 equations, that would give me an answer, if I had certain information. Imp 2 Pow 8 Just Count the Pegs This Essay Imp 2 Pow 8 Just Count the Pegs and other 64,+ term papers, college essay examples and free essays are available now on ultimedescente.com Autor: review • September 21, • Essay •.
Just count the Pegs Freddie Short has a new shortcut to find the area of any polygon on the geoboard that has no pegs on the interior. His formula is like a rule for an In-Out in which the In is the number of pegs on the boundary and out is the area of the figure.
pow #3 - just count the pegs I had to write down the number of pegs and the area of the polygon until I found some patterns Pegs Area 6 2 8 3 10 4 12 5 14 6 As you can tell as the pegs goes up twice, the area goes up by one if you kept on going.
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