Usually, an IA is where we come up with our own topics that are not really related to math but explore it in relation to math. In this case, we did a mini-IA that can prepare us for the actual one. This time we were given a topic of finding "imaginary friends" of quadratic and cubic polynomials. We had to investigate “Imaginary Friends” and their generators, which help identify the real and imaginary components of complex zeros from key points along the x-axis.
For this assignment, I got 12 out of 14, which gave me a 6. Ms. Heykoop took one point off because of limited or superficial reflection, and another point off because the exploration was coherent and well organized, but not so concise and complete. Other things that I did well are that there was evidence of some personal engagement, that I fully generalized my work to all quadratics and all cubics and provided a correct proof, and that the mathematical presentation was appropriate throughout. This IA was easier than I thought it would be, and I think this is probably because we were already given a topic to explore and instructions. I'm a bit worried about the actual IA that I'm going to have to do next semester. I'm going to have to come up with my own topic, and I'm not sure if I'm going to be able to come up with a good one. It would be great if I could find a topic that I'm really interested in and find a way to connect it to math, but I don't know. This sort of reminds me of personal project, and I remember myself struggling to choose my topic and project. I hope that struggle doesn't repeat.
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