Problems about Patterns
1. Problem Statement: Can you use all 1176 identical square pieces to make a stair-like structure?
2. Process: I first realized that I had to create more columns and rows. What I did first was see how many squares in a row of 10 which was 55. Then I counted from 10's so 11+12+13....20 to 21+22+23....30 and so on until got to 1,176. And I did get to 1,176 so yes you can use all of the identical pieces to make a stair-like structure. I got help from Roberto, Priya and Destin with the addition part and the process because I was adding wrong the whole time which would give me a different answer and the way of figuring out the pattern of adding the numbers instead of adding them one by one.
3. Solution: Building up all the rows and columns you would have a total of 48 square pieces to make your stair-like structure. I know I completed the problem because at the end i ended up with the number i had to end up with, which was 1,176.
4. Extension/Reflection: I Think that I can consider this problem educationally worthwhile because it makes us think a lot about the process of finding the solution or even just trying to get an answer really. It helps us to think deeper and it also makes us try so many attempts that we can't do anything else before finishing the problem. I learned that I do like problems that make me think of different ways to figure out a solution. I enjoyed this problem especially with my peers because we come together as a whole with so many ideas and questions that it makes you feel comfortable to actually want to work on the problem. The problem was hard at first trying to understand what it was asking but once you got one part understood, you were able to finish the rest. I would give my self a 13 out of 15 points, first because I didn't complete 1 put of the 4 problems.
2. Process: I first realized that I had to create more columns and rows. What I did first was see how many squares in a row of 10 which was 55. Then I counted from 10's so 11+12+13....20 to 21+22+23....30 and so on until got to 1,176. And I did get to 1,176 so yes you can use all of the identical pieces to make a stair-like structure. I got help from Roberto, Priya and Destin with the addition part and the process because I was adding wrong the whole time which would give me a different answer and the way of figuring out the pattern of adding the numbers instead of adding them one by one.
3. Solution: Building up all the rows and columns you would have a total of 48 square pieces to make your stair-like structure. I know I completed the problem because at the end i ended up with the number i had to end up with, which was 1,176.
4. Extension/Reflection: I Think that I can consider this problem educationally worthwhile because it makes us think a lot about the process of finding the solution or even just trying to get an answer really. It helps us to think deeper and it also makes us try so many attempts that we can't do anything else before finishing the problem. I learned that I do like problems that make me think of different ways to figure out a solution. I enjoyed this problem especially with my peers because we come together as a whole with so many ideas and questions that it makes you feel comfortable to actually want to work on the problem. The problem was hard at first trying to understand what it was asking but once you got one part understood, you were able to finish the rest. I would give my self a 13 out of 15 points, first because I didn't complete 1 put of the 4 problems.