## Super Stairs

__Problem Statement__

We started off this problem by watching a video about "stairs" and "super stairs". In "stairs" the guy went up and down the stairs normal but in "super stairs" he went up a step and went back down then got up two more and then 2 back down and so on. After watching the video we had to figure out how many sets of stairs will make up a set of super stairs.

Link to video

__Process__

My process was similar to others but we all kind of had different methods . I decided to draw the stairs and started counting off the steps until I noticed a pattern. I noticed that depending on the number of the step you had to square it in order to get the total steps you would be at that point. So then I decided to skip counting the rest and just squared 21 because there was 21 steps and I got 441 and to get the final answer I just added 21 because that was the number of stairs to get back down.

Other groups process was pretty similar to mine and my group's but an interesting method that stood out to me was a "T" chart. I liked it because the chart helped the group to plug in and keep count of the steps and helped them keep their information more clear and organized. Here's a picture

__Solution__

I did got the right answer on my first try. The equation for solving the problem is X^2 + X. So basically all you need to do is square the number of steps and add the number of steps to it and you'll get the total sets of of stairs needed to make up a set of "super stairs".

__Self-Assessment__

I liked this problem because it was interesting and I was able to solve most of the problem on my own. I did had to ask my group members for some questions but I was also able to help them. I'm pretty proud of my self because I'm noticing that I've been using perseverance a lot more lately. I've been trying difference things/methods to try and solve problems and trying to understand them more.

## Cost of College 2015

__Problem Statement__

Part #1. We created a spread sheet with estimated prices of colleges so people can see and have an idea of how much college will cost. We all partnered up and created a fake student, once we had our student we had to go to the colleges net price calculator and get the estimated price and then put it in the spread sheet.

Part #2. The next step was to create calculators to calculate how much students and parents would borrow and the total amount will come out as monthly payments so it's easier for people to see how much they would need to pay.

Part #3. Our goals on this project was to be able to compare two courses in life, financially, represent the difference in "total amount made in my life" and all of these based on two different paths. We also made presentations to our parents about his project so they could also see and understand cost of colleges and loans.

__Process__

Part #1. Everyone's process was different so for my partner and I we started off by making our "fake student". Once we had our "fake student" profile we started to calculate the average cost of 12 different colleges with net price calculator.

Part #2. We then created calculators that estimated parents and students loans and it was based on 4 year cost, how much students and parents will each borrow with=IF statements, and total cost of loans once paid off.

Part #3. We used all of these information to make a graph that we used in our parents presentation but we used our personal information, actual numbers to make the information at the presentation more accurate.

__Self-Assessment__

Part one of the project was probably the easiest. The last two parts of the project was were I struggled the most and that's when started using communication skills because whenever I didn't know how to do something or I didn't understand I would ask anyone who knew to help me and understand.

__Reflection on Presentation__

My presentation with my parents went pretty good. She said that it was really helpful and now she has a more clear idea of what and why I want to study in that specific major. I got pretty good comments from her and I felt pretty comfortable while presenting. I tried my best at being clear and detail. At the beginning she was having a little trouble understanding all the parent loans and students loans and stuff like that but I went back and explain it to her slower and more detailed and specific and now she knows more about this. I'm first generation in my family going to college so my parents don't know much about this, so I explained all of the steps and process that I learned throughout the project.

## Shape #36

__Problem Statement__

Before starting to work with our small groups we first started off by just working by our own. Once we got something figured out then we started working together and we continue to figure out patterns and tried to find out what shape number 36 would look like.

Edits:

Added title "Problem Statement"

Added title "Problem Statement"

__My Process__

I started off by numbering all the shapes up to 35. The next step I took was to see if there were any patterns and the first thing that I noticed was that the only shapes that were different were 1 through 6 the rest just kept repeating. For example shape number 8 is just shape number 4 twice and shape 15 is just shape 3 five times. When my team and I started to share out our ideas we also started to notice that if you combine two shapes it would give a new shape combined with both of those numbers. For example if you multiply 2 and 5 the answer is 10 and if you look at the picture above you can see that shape 10 is a combination of 2 and 5. So then we looked at shapes 4 and 9 since that gives 36 if you multiply them and shape 4 is just four dots making a square and 9 is three dots making a triangle made out of smaller triangles. So we came up with the conclusion that shape 36 would look like a triangle made out smaller triangles using shape number 4 which is four dots making a square.

__Other Groups Process__

Once we were all done trying to solve what 36 would look like each group presented to the class their patterns and solution. Most of the other groups found similar patterns to ours and most of them got the same solution as my group but others got a different solution. The other solution that the other group presented look like a triangle too but their was different theirs looked like shape 24. A pattern that I found interesting from other groups was that every 9th shape is a triangle and shape 35 is the 8th shape so shape 36 would be the 9th shape meaning that it has to be a triangle.

__The Solution__

In class we all figured out the solution by working together and the solution is that the overall structure is based on biggest prime factor. The biggest prime factor has to do with how many smaller sections are in the big section.

__Problem Assessment__

At first I was really confused about what we were trying to do but as we continue working on it I started to understand more and more. I did like the problem because it was different and we got to work in groups which I like because I feel that I learn from my them and we worked really good together and helped each other.

__Self Evaluation__

I would give my self an "A" because I worked really hard and came up with different patters and ways to figure out the solution by my own but without the help of my group I don't think I would of been able to solve it by my own. My group and I worked good together and helped each other a lot. A time when I asked for help was when we started working, I really didn't understand the point of the assignment and I didn't know what to do so I ask my group for help and Luis and Evelyn helped Marysol and I.

Edits:

Solution: Added more to my explanation about how all primes has to do with the structure of the shape.

Self Evaluation: Used evidence to back up my grade. Added more explanation to when I ask for help.

Solution: Added more to my explanation about how all primes has to do with the structure of the shape.

Self Evaluation: Used evidence to back up my grade. Added more explanation to when I ask for help.

Edits:

Added caption to pictures

Added caption to pictures