Core Competency Self-Reflection: Calculus 12

I demonstrated my critical thinking skills through applications of derivatives curve sketching problems. Curve sketching is a powerful application of derivatives in calculus, and it not only requires understanding the underlying mathematical concepts but also involves critical thinking and adaptability. Before diving into curve sketching, I needed a solid understanding of the basic concepts like critical points, local maxima and minima, points of inflection, and asymptotes. I applied my knowledge of derivatives to find critical points and determine the intervals where the function is increasing or decreasing. I learned how to test values using the sign graph. When solving this question, I considered more than one way to proceed and make choices based on roots, asymptotes, intervals of increase and decrease, local maximum and minimum values, intervals of concavity, and inflection points. The sign diagram was a new approach for me and allowed me to analyze the sign of a function or its derivative over different intervals of the domain. This approach provides a concise and visual way to understand how a function behaves without having to plot the entire function graph. In general, recognizing the domain is a crucial step in curve sketching as it influences the behavior and structure of a function. I already had a prior understanding of the concept of domain, which influenced my ability assess my thinking and develop reasoned conclusions. Since this function is a polynomial, it is continuous and differentiable everywhere. With new evidence and my prior understanding, I was able to sketch a curve at the end. I would like to grow as a critical thinker in mathematics by showing deeper analysis of asymptotic behavior and investigating how the behavior of the curve changes when dealing with higher-degree polynomials or functions. I would also like to challenge myself by applying my curve sketching skills to real-world scenarios (how curve sketching can be used to understand and solve problems in different contexts).

Core Competency Self-Assessment

Critical and Reflective Thinking

I believe that I process active listening, which enables me to understand, connect, and collaborate effectively with team members. During the group meeting, I demonstrate engagement and attentiveness by maintaining appropriate eye contact since non-verbal cue is crucial in terms of showing respect and interest in conversations. I also ask questions to clarify and view in different perspectives. In addition, providing and receiving feedback are essential components of effective communication and leadership. When we were preparing for the Halloween cupcake decorating workshop, I provided feedback for the overall design of the poster and received feedback for the sign-up form I created. According, I added questions about allegories and awareness of the cost of the workshop.

The skill I possess is adaptability. When unexpected challenges arise, I quickly adapt to changes, identify solutions, and implement changes as needed. For the Halloween cupcake decorating workshop, we were aiming for 30 people, but there were less than 10 people signed up. Since I had the access to the result of the sign-up form, I informed other group members and actively promoted our event. Instead of depending on the poster we created, I reached out to potential participants to recruit more people. We were able to recruit the total of 30 people in a few days. I remained open to feedback to create and organize more engaging and enjoyable event next time.

I would like to develop creativity by the end of the course. While fundraising is effective, I believe that thinking outside the box and creating interactive activities are also significant when it comes to raising awareness. We are trying to host unique activities or events, such as the Halloween cupcake decorating workshop and the interactive poll, and I hope our group can continue to make positive impact within the school community by implementing creative activities or events.

I would like to develop my risk management skills by the end of the course. Risk management risks would allow me to identify potential risks or challenges that may arise during the course of events or workshops our group is planning. Risk management would also enable to adapt to changing circumstances. Through effective risk management, I can develop strategies to mitigate them. I would actively share concerns, observations, and potential risks within the group and make informed decisions considering them.

I can work with others to achieve a goal.

As a member of the Health and Cancer Care (HACC) group, I worked with others to host a Halloween cupcake decorating workshop. We strategically planned different tasks for the successful event. I gave and received feedback, developing various ideas while minimizing potential risks or challenges. As a team, we carefully prepared the materials needed for the cupcake decorating, including plain cupcakes, sprinkles, candies, and chocolates. We also incorporated a cupcake decorating competition to make the event more enjoyable. The workshop was successful, and it was meaningful to collaborate with HACC members to support the Canadian Cancer Society. We are currently working together to create an interactive poll and share statistics in which I believe that it could raise more awareness in our school community.

Physical Geography Coral Competency Self-Assessment

Social Awareness and Responsibility

I can be kind to others, and support others when they need it. I can appreciate diverse perspectives on issues and can resolve problems respectfully and effectively.

Throughout this volcano project, I demonstrated social awareness and responsibility core competency by building and maintaining positive relationship with my partner. We worked collaboratively to communicate our information clearly and effectively. We divided and tasks and responsibilities equally for productivity. We indicated sophisticated understanding via test, images, and voiceover and tried to build environmental awareness during the presentation as well. We considered significant implications for people and the environment in the surrounding areas of the mountain we explored. The connection between earths plates and volcanic activity (the purpose of the project) is also clearly depicted in our presentation, which is the outcome of effective collaboration. We solved problems together whenever we faced challenges or obstacles while preparing for the presentation. We used the feedback from the teacher to improve and better understand our strengths and weaknesses.

I demonstrated and analyzed geographic significance in depth through the specific characteristics and significant implications of the volcano we explored (Mount Stromboli). My partner and I created a strong connection between earths plates and volcanic activity accordingly. My strength would be effective communication skill, which allows me to approach teamwork with positive attitude. However, I would like to improve on showing more patterns and trends by thoroughly analyzing causes and effects.