Algebra 1
Pows
William 6866 Cody Starr
9-28-2015
pow 2 right up
I first found out the answer for the pow without overlap and then with overlap
without overlap is 92 first you label your sides s so the overall 1by squares are s2 then you take sxs / (s-1x s-1) and continyou till you get to a 2 2 by to square if s =8 that would be s-6 then you add up all the answers for the equations and don't forget to add one for the s by s square and for a 8by 8 that should = 92 squares
with overlap 204 1x1 = 1 2x2 = 4 3x3= 9 and so on till you get to SxS
you get the pattern it is basick s by s = or s squared
pow 3
cody starr
10/15/15
Process anser and eplaition the king with the 8 gold bags and one with less weight than the others
to find out the one that is lighter than the other 7 you can do it with two at a time which gives it to you in 4 or you can do it with exponential decay of 2n that gives it to you in three and the final what to do it is put three on both sides this leaves 2 not on the scale from here it can go into three different way first that both side of 3 are equal then you weigh the other two and weigh them one will be lighter, The second is that on side of the scale one is lighter so you of take two of these and whigh then one will be lighter or nether will be lighter so the one that you didn't whey is lighter if neither if one if lighter you have it . the lowest with a two scale is two.
Extension if the king had 18 bags and a three sided scale what is the lowest he can weigh it in to find the lightest
Pow 4the football scoring
The team can only score 5 pointers and 3 pointers
The answer is 7 but the question is what is the highest number that a combination of 3s and 5s can not make.
I found this answer by looking at the parameters that it is be low 30 and 20 and 10 because 5 and two 3equals 11 four 3s equals 12 from there you two 5s and add a 3 to get 13 and a 3 to the 11 equals 14 and three 5s equal 15 etc. so you can get all from 10 to 20 from there you can just add two fives to get the next suit up. so knew it was be low 10 from there i figured it was higher rather than lower so i went with 9 three 3s 8 one 5 one 3 7 seven is the highest you can not get by a variation of 3s and 5s
Extinction As a way to make the question more complex what would be the highest you could get with a variation of -+9s and -+4s For a basketball game where the other team Scores on a dunk 2 point or shoot 3 point scale , How many shots and dunks will they need to beat the other team's highest can not get to win?
pow 5
William Cody Starr
12/3/15
the question is them how many pieces can you get from a circle with straight clear across 3 cuts 4 cuts 5 cuts and so on the answer is in the form of a equation
The equation is that for every cut the number the amount goes up by increases by one the first one with one line the number is 2 the with two cuts 4 then with three cuts 7 then 11 16 22 29 then 337 and so on I found this as a pattern with two cuts 2 then with the the number of slices increased 3 from the previous with 4 cuts mit increased with four pieces from the previous number of pieces the largest number with ten slice is 56
my eval of this problem is the next one should be harder tan this it was pretty easy
9-28-2015
pow 2 right up
I first found out the answer for the pow without overlap and then with overlap
without overlap is 92 first you label your sides s so the overall 1by squares are s2 then you take sxs / (s-1x s-1) and continyou till you get to a 2 2 by to square if s =8 that would be s-6 then you add up all the answers for the equations and don't forget to add one for the s by s square and for a 8by 8 that should = 92 squares
with overlap 204 1x1 = 1 2x2 = 4 3x3= 9 and so on till you get to SxS
you get the pattern it is basick s by s = or s squared
pow 3
cody starr
10/15/15
Process anser and eplaition the king with the 8 gold bags and one with less weight than the others
to find out the one that is lighter than the other 7 you can do it with two at a time which gives it to you in 4 or you can do it with exponential decay of 2n that gives it to you in three and the final what to do it is put three on both sides this leaves 2 not on the scale from here it can go into three different way first that both side of 3 are equal then you weigh the other two and weigh them one will be lighter, The second is that on side of the scale one is lighter so you of take two of these and whigh then one will be lighter or nether will be lighter so the one that you didn't whey is lighter if neither if one if lighter you have it . the lowest with a two scale is two.
Extension if the king had 18 bags and a three sided scale what is the lowest he can weigh it in to find the lightest
Pow 4the football scoring
The team can only score 5 pointers and 3 pointers
The answer is 7 but the question is what is the highest number that a combination of 3s and 5s can not make.
I found this answer by looking at the parameters that it is be low 30 and 20 and 10 because 5 and two 3equals 11 four 3s equals 12 from there you two 5s and add a 3 to get 13 and a 3 to the 11 equals 14 and three 5s equal 15 etc. so you can get all from 10 to 20 from there you can just add two fives to get the next suit up. so knew it was be low 10 from there i figured it was higher rather than lower so i went with 9 three 3s 8 one 5 one 3 7 seven is the highest you can not get by a variation of 3s and 5s
Extinction As a way to make the question more complex what would be the highest you could get with a variation of -+9s and -+4s For a basketball game where the other team Scores on a dunk 2 point or shoot 3 point scale , How many shots and dunks will they need to beat the other team's highest can not get to win?
pow 5
William Cody Starr
12/3/15
the question is them how many pieces can you get from a circle with straight clear across 3 cuts 4 cuts 5 cuts and so on the answer is in the form of a equation
The equation is that for every cut the number the amount goes up by increases by one the first one with one line the number is 2 the with two cuts 4 then with three cuts 7 then 11 16 22 29 then 337 and so on I found this as a pattern with two cuts 2 then with the the number of slices increased 3 from the previous with 4 cuts mit increased with four pieces from the previous number of pieces the largest number with ten slice is 56
my eval of this problem is the next one should be harder tan this it was pretty easy
Projects
Cookies Cover letter
over the cookies project we learned out inequalities and how to graph them. The project its self is about a bakery and helping them find out the optimal profit they sale two different kinds of cookies one plain the other iced.
Letter to Bing and Abby Woo
From 12333 half evil road
to the Bing bakery
dear bakery owners I have found out that the most profit available for you is 212.50$
I have graphed the equations for your bakery and have found out the feasible region then from there find your optimal profit of 75 plain and 50 iced this falls under all the constraints you will be spending less on your dough and icing from now on and you will have to pay me your souls and 2 cookies per day for as long as you own the bakery.
to the Bing bakery
dear bakery owners I have found out that the most profit available for you is 212.50$
I have graphed the equations for your bakery and have found out the feasible region then from there find your optimal profit of 75 plain and 50 iced this falls under all the constraints you will be spending less on your dough and icing from now on and you will have to pay me your souls and 2 cookies per day for as long as you own the bakery.
Shadows
Shadows Cover Letter
Shadows cover letter:
The entire project was about triangle and how the sides correspond through scale factine and Sine cosine and toa which is the ratio of angle in a triangle. The way we learned it was by doing different problems with the teacher then doing similar problem on our own . The skills we learned would be useful in a construction job or one that consisted of triangle. We also went over a little bit of how proofs work and that they technically are just simple algebra depending on the theorem.
The entire project was about triangle and how the sides correspond through scale factine and Sine cosine and toa which is the ratio of angle in a triangle. The way we learned it was by doing different problems with the teacher then doing similar problem on our own . The skills we learned would be useful in a construction job or one that consisted of triangle. We also went over a little bit of how proofs work and that they technically are just simple algebra depending on the theorem.
Mapping
REFLECTION i thought the whole project was crap all it was one wild idea though into a project truthfully we could of done most of the work in a day with a little better instructions all we did was tell what the last couple of point were on the line that the whole project was 6th grade review total crap in my apportion fell free to judge but i don't care anymore.
2048 problem
REFLECTION The whole thinking out side of the box was not accepted on this problem so i didn't do so well on it i got an answer by doing any person donning it for a reason other than a grade because someone said we should do a problem for the last week of school. but if any one dose it a more efficient i found the major needed letter it was like taking down a building instead of hitting every support beam i hit the main ones and watched as the rest fell with them way which is how the world works even they do not like it. Math is suppose to help us in life but all i see if a boring class full of one day cover stuff with absolutely very little to learn. to some it up a illusion of what people want to believe versus what is real. P.S. This was not a project it was a though together idea to keep us busy for a week.
I know i need to give quality work to impress other yet i see no reason to impress someone in a boring un-quality impermanentish project at the expense of other important aspects of my life ie grades projects sleep.