Cover letter for cookies project!
Jennifer Silva
12/9/2014 per.1
I really liked this unit it was so much fun. The main point, in the cookies project, was mainly to figure out how they could make the most money with a certain amount of time,dough,icing, and space, and we made so many graphs, trying to figure out the answer and after a long process we figured it out! It was a little hard sometimes but other times it was pretty easy. I just thought we moved a little too fast towards the end, but overall it was fun!
One thing I got better at was graphing I was never really good at it I would always get mixed up with the numbers, and x and y axis but since we drew so many graphs I got to practice and practice, and I got better and better every time. So I think I improved a little on that. I think I was also pretty good at organizing all my work for the cookies project. I kept all my graphs and data and work in my folder, witch was very helpful at the end.This was a very fun unit l liked it a lot!
12/9/2014 per.1
I really liked this unit it was so much fun. The main point, in the cookies project, was mainly to figure out how they could make the most money with a certain amount of time,dough,icing, and space, and we made so many graphs, trying to figure out the answer and after a long process we figured it out! It was a little hard sometimes but other times it was pretty easy. I just thought we moved a little too fast towards the end, but overall it was fun!
One thing I got better at was graphing I was never really good at it I would always get mixed up with the numbers, and x and y axis but since we drew so many graphs I got to practice and practice, and I got better and better every time. So I think I improved a little on that. I think I was also pretty good at organizing all my work for the cookies project. I kept all my graphs and data and work in my folder, witch was very helpful at the end.This was a very fun unit l liked it a lot!
Iced= y-axis plain=x-axis Constraints: I+P ≤ 140 space, P+.7I ≤ 110 dough, I ≤ 80 icing, and .1P+.15I ≤ 15 time (it is going up by 10's)!
POW!!
Jennifer Silva C.
1st per 10/3/14
POW #3 NIM
Part one:
As I played the game a couple times I began to notice right away that, you would always win or lose once you got to 4 lines. I also observed that, usually whoever started first would triumph more often. I think you always have to end in a number that makes you win, in this case it is four because no matter how many lines your opponent takes away, you will always win!)J
Part two:
Well if you altered the number of lines to start with, it would be the same thing and the “magic” number wouldn’t change (4) you would still louse or win at four but, I am not certain of this I only tried this a couple times… I tried to play the game with 17 lines and four would pop up at the end and you would either louse or win!
Part three:
If you change the number of lines to take away per round it would change the “magic” number. For example if we started with 10 lines and were able to take two or less lines away per turn the “magic” number would be 3. If we used 15 lines and we could take away four or less the “magic” number would be five.
Write up
Process: This game was pretty easy to understand and try to figure out a solution.
Strategies: I figured out that it depends on how many lines you can take away. Let’s say you could only take away seven lines away or less at a time, well I figured out that if you add one, which will add up to eight, then eight is the “magic” number and towards the end you need to try to avoid the number eight or any number under eight, when it is your turn, but if your opponent ends up with eight when you have already gone, they have no choice, you will win either way, no matter how many lines they take away, but if u end up with eight when it is your turn to go, you will lose. This works with any number. Like for example, the “magic” number for 10 is 11 and for 8 its 9 and so on. So try to avoid the “magic” numbers.J If you can take away a certain number and it is even the “magic” number will be odd and vice versa.
If you start with 10 lines and you can only take away three or less at a time, and your opponent takes away three, then you have to take away three so then there will be four and you will win no matter how many they take away. If they take a way one to start with, then you have to take a way one and then no matter how many they take away, when it is your turn again you take away as many as you can to get to four and then you will win.
Generalization: I noticed that whoever went first would mostly lose all the time. I didn’t really notice a pattern, but I think you should always take away a little amount at a time unless there is a lot of lines then take away a lot at a time and as you get less and less lines you take away less at a time and as you get to a small number you have to pay attention more. Then that is when you pay attention to how many you take away.
Evaluation: I thought it was kind of fun. I learned that there is a secret to wining this game and I solved it. I liked this pow a lot it was better than the squares one, to me it’s the funs’t one so far. J
1st per 10/3/14
POW #3 NIM
Part one:
As I played the game a couple times I began to notice right away that, you would always win or lose once you got to 4 lines. I also observed that, usually whoever started first would triumph more often. I think you always have to end in a number that makes you win, in this case it is four because no matter how many lines your opponent takes away, you will always win!)J
Part two:
Well if you altered the number of lines to start with, it would be the same thing and the “magic” number wouldn’t change (4) you would still louse or win at four but, I am not certain of this I only tried this a couple times… I tried to play the game with 17 lines and four would pop up at the end and you would either louse or win!
Part three:
If you change the number of lines to take away per round it would change the “magic” number. For example if we started with 10 lines and were able to take two or less lines away per turn the “magic” number would be 3. If we used 15 lines and we could take away four or less the “magic” number would be five.
Write up
Process: This game was pretty easy to understand and try to figure out a solution.
Strategies: I figured out that it depends on how many lines you can take away. Let’s say you could only take away seven lines away or less at a time, well I figured out that if you add one, which will add up to eight, then eight is the “magic” number and towards the end you need to try to avoid the number eight or any number under eight, when it is your turn, but if your opponent ends up with eight when you have already gone, they have no choice, you will win either way, no matter how many lines they take away, but if u end up with eight when it is your turn to go, you will lose. This works with any number. Like for example, the “magic” number for 10 is 11 and for 8 its 9 and so on. So try to avoid the “magic” numbers.J If you can take away a certain number and it is even the “magic” number will be odd and vice versa.
If you start with 10 lines and you can only take away three or less at a time, and your opponent takes away three, then you have to take away three so then there will be four and you will win no matter how many they take away. If they take a way one to start with, then you have to take a way one and then no matter how many they take away, when it is your turn again you take away as many as you can to get to four and then you will win.
Generalization: I noticed that whoever went first would mostly lose all the time. I didn’t really notice a pattern, but I think you should always take away a little amount at a time unless there is a lot of lines then take away a lot at a time and as you get less and less lines you take away less at a time and as you get to a small number you have to pay attention more. Then that is when you pay attention to how many you take away.
Evaluation: I thought it was kind of fun. I learned that there is a secret to wining this game and I solved it. I liked this pow a lot it was better than the squares one, to me it’s the funs’t one so far. J