Core Competency Self-Reflection: Precalculus 12
ARTIFACT

PROFILE 3
I can ask questions and consider options. I can use my observations, experience, and imagination to draw conclusions and make judgments.
This artifact is from a problem in my workbook, which requires me to prove that the identities are equal to each other; I was able to successfully solve it on my own, given the first try. While learning how to verify identities, I couldn’t quite understand how the process worked, which steps were being taken, and why different things were being manipulated in a certain way. It required me to take a lot of thinking, as well using multiple resources like YouTube videos, my workbook, and math-related apps, to finally grasp how this concept worked. After going back to my notes for this concept, I re-read everything, but this time, understanding much of it. I was able to ask questions to myself, and think of different approaches to how I could solve problems. I used my observations to see what factors were being manipulated first, as well as which side of the equation was changed first. From here, I made judgements on what the first step was, following the next step, and what method I should take to solve the problem. After specifically solving this problem, I felt more successful than when I did a unit in the past which held similar concepts; Algorithms. I had a struggle learning algorithms, because of how much manipulation had to be done with every problem, and I wasn’t able to understand a lot of the work. But since I am starting to understand how these manipulations work with the Trigonometric Equations unit, I think that I will be able to connect what I learned when working with logarithms again on my final exam, or in another math class.