Math pow # 2
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My first method that I had was making 8 squares and drawing lines to make smaller squares inside of the square. I worried about 8 x 8 and 7 x 7 but then it got confusing with all the lines. After that the teacher showed me a method to find all the answers. The problem with my last method was that the lines would overlap and so I could not tell apart my lines and where the squares are. Something I learned for my first attempt was that not changing the lines and drawing it would overlap too much unlike my second attempted which was making a 3d model of the square that I had to find out how many times it went in to the 8 by 8 square, for the 8x8 1 square fit in it and for the 7x7 4 fit in, 6x6 9 fit in, 5x5 16 fit in, 4x4 25 fit in, 3x3 36 fit in, 2x2 49 fit in and for the 1x1 it was 64, I added all of the answer from each problems to get 204. To get those answers I cut out a 7x7 square and moved it over to the right ones, down once, left once and up once that would be four. I did that for the rest of them except for the 1x1. I think that this pow was fun but finding the equation was very difficult for me, also if the teacher didn't show me the square technique, I would have taken me longer, but I think I would have got there eventually. The equation for this is |
Pit and Pendulum Unit problem
Alice unit reflectionIn our allice unit we learn about exponential graphs and exposits. An exponential graph is a curve that represents an exponential function and an exponent refers to the number of times a number is multiplied by itself. I think that this math was fun and challenging and for me this unit.
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The unit problem is if he can escape in under 72.27 seconds and he escapes in 60 seconds from the problem and we had it find out what the actual time from 12 swings on a 30 ft pendulum, the skills I learned on this project is curve fit. Curve fitting is where you take multiple points of data and find the mean once you have the mean that is your starting point then you get the standard deviation, this is how we found out the actual time for the pendulum. This would be called statists I found this answer by using curve fitting the answer I got was 68.8 The real answer is 72.27 I found it out by a older class who built it during covid. |