Just Count The Pegs
In “Just Count The Pegs” it told us to find the formulas of polygons for Justin, Sarah, and Flashy. It gave us simple information about each person and how to find the formula. Each person says they have their own formula. I used the books information to help me find the formulas. Justin Short says he has a new shortcut. His formula is like an In-Out table. For the In it is the number of pegs around the sides of the polygon. For the Out is is the total area of the figure. Also, the area of any polygon on the geoboard has no pegs in his interior. Sarah Shorter then says she has a shortcut that she can do with any geoboard polygon with exactly four pegs for the polygon's boundary. Lastly Flashy Shortest then says she has the best rule. She says if you do any type …show more content…
Once I plugged it in then it showed it worked. To see if it worked I did the shape below. y = x ½ 2 - 1 + interior y = 10 ½ 2 - 1 + interior = 6 (area) **Yellow
So in the end this is the rule that works for Flashy.
For the extension all you can really do is create other rules for different polygons. Then you have to find all the polygons you can make with the rule until you find that the rule is correct.
Self-Assessment: For this I realized that this was super hard. I could not get my mind wrapped around the problem for a good two days. I then finally figured out Justin and Sarahs rule and everything kept on flowing. I personally believe that this problem takes lots of time and thinking. Over all I got help from my dad and sister, so that helped. But most of all I had to study the problem for a good 20 to 30
In “Just Count The Pegs” it told us to find the formulas of polygons for Justin, Sarah, and Flashy. It gave us simple information about each person and how to find the formula. Each person says they have their own formula. I used the books information to help me find the formulas. Justin Short says he has a new shortcut. His formula is like an In-Out table. For the In it is the number of pegs around the sides of the polygon. For the Out is is the total area of the figure. Also, the area of any polygon on the geoboard has no pegs in his interior. Sarah Shorter then says she has a shortcut that she can do with any geoboard polygon with exactly four pegs for the polygon's boundary. Lastly Flashy Shortest then says she has the best rule. She says if you do any type …show more content…
Once I plugged it in then it showed it worked. To see if it worked I did the shape below. y = x ½ 2 - 1 + interior y = 10 ½ 2 - 1 + interior = 6 (area) **Yellow
So in the end this is the rule that works for Flashy.
For the extension all you can really do is create other rules for different polygons. Then you have to find all the polygons you can make with the rule until you find that the rule is correct.
Self-Assessment: For this I realized that this was super hard. I could not get my mind wrapped around the problem for a good two days. I then finally figured out Justin and Sarahs rule and everything kept on flowing. I personally believe that this problem takes lots of time and thinking. Over all I got help from my dad and sister, so that helped. But most of all I had to study the problem for a good 20 to 30