I Hailstone Sequences
During math class, we learned many different problems and then had to chose a problem that we enjoyed the most and had to write about it on our DP's. The problem that i chose was " Hailstone Sequences ". At first I didn't understand the problem until I asked my peer and my teacher for help. The way this problem was done is having to divide the even numbers twice and having to multiply the odd numbers 3 times but then add it by 1. At first when we started this problem, we started off with "20,10,5,16,8,4,21 ". With these numbers we had to find a pattern and I first I thought the pattern was adding each number by 2 but then it didn't make sense when i reached to 16 so then I found out the pattern was actually odd and even. Once we figured out the pattern, we had to come up with our own numbers. The numbers i got was "22,11,34,17,52,26,13". But some how I had to reach to 1. It could probably be possible but would take a long time adding, Dividing and multiplying. A struggle that I had while doing this problem was when the numbers kept increasing instead of decreasing to a smaller number.The way I over came to this problem was I kept following the pattern until I got to the number 1 which I ended up getting to. The reason why I chose this problem is because I didn't really understand the other problems that we did and also because I enjoyed this problem better than the others. One of the habits of mathematician i used was collaborating with my peers because without them I wouldn't understand the problem as much as I do now. Since it was the 1st and 2nd week of school, i wasn't as focus so i wasn't really thinking straight. After a while, I been focusing more because i have been getting comfortable enough to ask for help from my peers or from my teacher.
This is an image of the work I have done during class. As you could see i expended my numbers because I had to reach to the number 1. Before my numbers were "22,11,34,17,52,26,13" and now my numbers are "22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1" The reason why I left pink marks under the numbers is because those numbers repeated in the same order as they did before which was another pattern I found.
Week Of Inspirational Math Questions:
1. The purpose of watching those videos was trying to convince you that even though you were wrong, your brain still grows but if you got the right answer on a problem, then your brain growth doesn't grow at all. The way your brain grows is putting effort on something but then you end up being wrong so you go back and fix your mistakes.
2. So far all the activities we have done were pretty easy but some of them were complicated like " Tilling a 11x13 rectangle"I found it confusing because i realized that i was doing it wrong the whole time which then I found out the actual way but still found it more complicated. Another activity that i found confusing was " Squares to stairs " because I didn't really understand how get up to 190 square stairs. The only activities that i enjoyed were " Hailstone Sequences" and " Painted cubes". I believe we did these activities to get use to work with your peers and get comfortable to ask questions and give out your ideas with others. We watched many videos on the first and 2nd week of school because we had to understand that its okay to be wrong even though you thought you were right. The videos that we watched were basically about brain growth and group work which I've watched similar videos before in the 9th grade.
3. One of the messages that i could relate to is " No one is born as a math person" on the first video we watched. The reason why I could relate to that message is because I use to say I'm not a math person all the time because math is a subject that I normally struggle with. The only times I say that is when i keep failing on a problem that I have been working on more than twice and that's when I start giving up. Another message that i could relate to is " how fast you are is not related how good you are", On the 3rd video we watched. I could relate to this because I always sat with that one person who finishes up on time unlike me, whenever I'm stuck on a problem, I normally take my time. I use to feel like I wasn't as good as the other students because i'll take more time to work on one problem than they did but after watching this video, I no longer feel like i'm behind.
During math class, we learned many different problems and then had to chose a problem that we enjoyed the most and had to write about it on our DP's. The problem that i chose was " Hailstone Sequences ". At first I didn't understand the problem until I asked my peer and my teacher for help. The way this problem was done is having to divide the even numbers twice and having to multiply the odd numbers 3 times but then add it by 1. At first when we started this problem, we started off with "20,10,5,16,8,4,21 ". With these numbers we had to find a pattern and I first I thought the pattern was adding each number by 2 but then it didn't make sense when i reached to 16 so then I found out the pattern was actually odd and even. Once we figured out the pattern, we had to come up with our own numbers. The numbers i got was "22,11,34,17,52,26,13". But some how I had to reach to 1. It could probably be possible but would take a long time adding, Dividing and multiplying. A struggle that I had while doing this problem was when the numbers kept increasing instead of decreasing to a smaller number.The way I over came to this problem was I kept following the pattern until I got to the number 1 which I ended up getting to. The reason why I chose this problem is because I didn't really understand the other problems that we did and also because I enjoyed this problem better than the others. One of the habits of mathematician i used was collaborating with my peers because without them I wouldn't understand the problem as much as I do now. Since it was the 1st and 2nd week of school, i wasn't as focus so i wasn't really thinking straight. After a while, I been focusing more because i have been getting comfortable enough to ask for help from my peers or from my teacher.
This is an image of the work I have done during class. As you could see i expended my numbers because I had to reach to the number 1. Before my numbers were "22,11,34,17,52,26,13" and now my numbers are "22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1" The reason why I left pink marks under the numbers is because those numbers repeated in the same order as they did before which was another pattern I found.
Week Of Inspirational Math Questions:
1. The purpose of watching those videos was trying to convince you that even though you were wrong, your brain still grows but if you got the right answer on a problem, then your brain growth doesn't grow at all. The way your brain grows is putting effort on something but then you end up being wrong so you go back and fix your mistakes.
2. So far all the activities we have done were pretty easy but some of them were complicated like " Tilling a 11x13 rectangle"I found it confusing because i realized that i was doing it wrong the whole time which then I found out the actual way but still found it more complicated. Another activity that i found confusing was " Squares to stairs " because I didn't really understand how get up to 190 square stairs. The only activities that i enjoyed were " Hailstone Sequences" and " Painted cubes". I believe we did these activities to get use to work with your peers and get comfortable to ask questions and give out your ideas with others. We watched many videos on the first and 2nd week of school because we had to understand that its okay to be wrong even though you thought you were right. The videos that we watched were basically about brain growth and group work which I've watched similar videos before in the 9th grade.
3. One of the messages that i could relate to is " No one is born as a math person" on the first video we watched. The reason why I could relate to that message is because I use to say I'm not a math person all the time because math is a subject that I normally struggle with. The only times I say that is when i keep failing on a problem that I have been working on more than twice and that's when I start giving up. Another message that i could relate to is " how fast you are is not related how good you are", On the 3rd video we watched. I could relate to this because I always sat with that one person who finishes up on time unlike me, whenever I'm stuck on a problem, I normally take my time. I use to feel like I wasn't as good as the other students because i'll take more time to work on one problem than they did but after watching this video, I no longer feel like i'm behind.