In labs and the final project, I used all of the core competencies to a certain degree. However, I believe the one I used the most is communication. Since the labs and the final project both require group work, communication is essential to be successful. Without communication for these projects, we would h=not have been able to work together in completing them. More often times than not, we use online platforms to reach out to one another to share the lab data for our labs and discuss who takes on what role in the labs. The final project required us to use a lot of our time outside of class and this required the communication of our time table to see when we are available to either get on call to discuss and work on the project. This is why I think communication was the most essential and best core competency I demonstrated in my example of labs and the final project.

I chose my data sets through the first digits on Instagram reels. This data was collected using the first digits of 100 reels.

In my results, there were much more of the initial digits and much less of the last digits than benford’s law. My data a greater number of 2s, 3s, 4s, and 5s than the calculated probability.

Some reasons why my results would be different than calculated is because I the amount of reels I have taken my data from. The more data that I collect, the more accurate my results will get. I can already see the difference going from the results of 30 reels to 100 reels. We can safely assume that if we collect more data, the closer we would get to the calculated results. In the video watched, the man performs the experiment with 5,150 tiktok videos. His results closely resembled the calculated results. Although there were still a little bit different, we can still see that the more data collected, the closer we get to the calculated results.

We can mainly use benford’s law in calculating financial errors in tax returns etc. but we can also use it to aid us in other scientific or investment purposes to predict results.

Logs are an important aspect and is significant to benford’s law becuase benford’s law deals with exponential growth. Using logs, it helps use graph, predict, and calculate the occurrence of numbers. Benford’s law uses logs to calculate the exponential pattern seen in the occurrence of numbers.

The core competency I chose is critical thinking.

Through this photo, I demonstrated the competency critical thinking through observing and analyzing the results of our expirement. In expirement we had to determining which of them showed percipitate. I used used my prior knowledge and new learning to decide which test tubes to heat and calculate the range for the ksp value.

Graph 1

f(x) = (x-1)(2x)^(2) (x+2/3)^(3)

x-min: XER

x-max: XER

y-min: y greater than -1.6

y-max: YER

degree of f(x): 6

x-int: 1, 0, -2/3

y-int: 0

Graph 2

g(x) = -(x-1)(2x)^(2) (x-2)

x-min: XER

x-max: XER

y-min: YER

y-max: y is less than 2.5

degree of g(x): 4

x-int: 0, 1, 2

y-int: 0

Graph 3

h(x) = (x+1)^(2) (x-2)

x-min: XER

x-max: XER

y-min: YER

y-max: YER

degree of h(x): 3

x-int: 2, -1

y-int: -2

Reflection

I explored mathematical ideas using technology when used my knowledge in transformations to create the ideal polynomial art I wanted. I was able to change the graph to fit my liking.

I analyzed data and used criteria to draw conclusions when I made my functions to fit what I wanted my graphs to look.

I justified my conclusions with evidence when I wrote out the information I found on the graphs such as x int and y int.

Dr. Bahman Kalantari – Polynomial Root-Finding and Polynomiography

Goal 1

This year I am hoping to become more organized in my homework, test dates, and due dates. Last year I was not very on top of my work and tend to fall behind in class work. When work builds up, it can become very stressful and difficult to catch up on all the classes.

To accomplish this, if I become sad, angry, or frustrated, doing class or schoolwork I will plan ahead to help me be more productive or calm.

Goal 2

I am hoping to remain focused in the activity in front of me. During long classes, I tend to become easily distracted and off track. This can really affect me academically. Especially with all my friends in my classes, it will not be easy to be focused and on task.

Some of my preferred strategies for maintaining a healthy, balanced lifestyle include making the decision between focusing in class or enjoying the time with my friends.

Titration Core Competency

I can take on roles and resposibilities in a group; I do my share.

I can take on roles and resposibilities in a group; I do my share. I was able to work with my partner and accomplish our goal of achieving a perfect titration within 0.1 mililitre of each other. My partner and I assesed our qualities and assigned each other roles in the lab best suiting those qualities. My hands shake more than my partner’s so I did the mixing during the titration while he dripped the base into our acid and phenolphaline solution. We also helped each other set up and clean up the lab, each partner doing their role and share in the lab. We succeeded in completing this lab and achieving our goal because we worked together, both completing our roles assigned.

I can communicate and collaborate with peers in order to achieve greater knowledge. Collaborating with more minds to solve issues gave more perspective on the problem. Communicating with my peers lets me know what they think on the problem at hand and allows for our minds to collaborate easier. I find when I work on a problem together with others, I am able to contribute a good amount to the conversations and problem solving we do. On whiteboard works we engage in deep conversation with peers and gives us more insight on the challenge we are given. Seeing more perspectives lets us get a deeper understanding in the concepts we learn.