Linear System Group Assignment

Purpose

In groups, we designed our own linear relationship which consists of two different equations that graph nonparallel diagonal lines. We put the equations in Slope-intercept form and used it to represent them graphically and algebraically to solve where the points meet, where both values satisfy both equations.

Curricular Response

a. Describe as much of the mathematical vocabulary your group used during this activity as you can remember. How can using precise vocabulary improve understanding?

Some of the vocabulary words that were used to address these mathematical problems were substitution, and the addition methods which are two algebraic methods used to solve linear equations. Everyone immediately knew the formula y=mx+b was the slope-intercept form without having to search it up. We knew that b represented the y-intercept, and m the slope. Knowing precise vocabulary not only can improve you’re understanding of the unit but how or when to use it and how it is represents in math. There are words that we use in our daily lives that have a different definition in math. For example: acute means sharpness or when we describe pain but in math an acute angle is an angle that measures to less than 90 degrees.

b. Justify your mathematical decisions. Give reasons for your choice of equations and for your choice of algebraic method.

We picked a point on the graph that wasn’t too high in value and shade decisions on the second equation from there. We decided to use the substitution method to find the solution since the y variable was alone on one side of the equation, being in slope-intercept form, we can easily plug it into the y of the second equation. The addition method would have been the more time-consuming but still possible.

Core Competency Self-Assessment

I take on roles and responsibilities in a group; I do my share. I was always participating and was especially involved in creating our own linear equation and solving . Some other members helped with the graphing, plotting the points, organizing the graph to make it neat. When someone needs assistance I always offer to help. I encourage others to share their voices and value diverse perspectives. I always try go get all group members involved in the activity by passing the, the marker if they are left out, ask them to join our discussion or about opinions on on the topic. Sometimes I feel that they are hesitant but they shouldn’t be excluded from the group.

Art Studio Core Competency Reflection

Critical/Reflective Thinking

My artifact connects to my Core Competency because I believe ceramics requires a lot of critical thinking in general. I developed my ideas based on my identity and personal connections. This specific ceramics piece focuses on my childhood because I’ve recreated one of my favorite characters growing up. I wanted my gnome to be recognizable in a way but also differently displayed in my own style. I considered what the purpose of a garden gnome is and its original uses. It is said to be a symbol of good luck but is also believed to watch over the garden crops. I always kept in mind the color combinations, found a suitable palette for the piece, and thought about how I wanted to mold each piece into a finalized structure. I decided to separate the piece into 6 pieces (3 pairs), The face, ears, torso, legs, arms, and lower body. This was to ensure that the pieces do not break apart after it is put in the kiln. I took pictures of my progress so that I could see the improvement throughout the course. I asked for feedback from my peers and received quite positive feedback from them. Improvements for next time: I would like to improve my time management because often I feel unsatisfied with my piece because I want my art pieces to look more complete. I would consider what I want to work on in each class so that I get straight to it instead of wasting time thinking about it.

Independent Novel Study Review

Brave New World

Brave New World: Aldous Huxley: 9780060850524: Amazon.com: Books

The Writing Process

The whole assignment was a challenge for me but I enjoyed reading “Brave New World’ because dystopian novels are one of my favorite genres. When analyzing hidden details and symbols of the novel I found myself being mesmerized by the author’s ideas and predictions of our future society. Since this was written in 1932, this made me question the author’s thought process and how he made connections to the real world. Public speaking is definitely not my thing and I get extremely nervous when presenting in front of an audience. This assignment pushed me out of my comfort zone but I managed to get through it by practicing multiple times and being prepared. As much as public speaking terrifies me, I still believe it is an important life skill that I will eventually need to overcome.

Core Competency Reflection

  1. The ways I communicate at school differs from how I communicate at ____ (soccer/ work/ hockey/ piano lessons/ family events/etc) in these ways:

The ways I communicate at school differ from how I communicate with my family because school itself is anxiety-provoking for me. At school, I find myself being timid when I am not with the people I trust or feel comfortable around therefore it is obvious that how I communicate differs. I find teachers difficult to approach which is the complete opposite of how I feel about my family members or friends. At school, I communicate with my peers through casual conversations.

2. I show others that I truly value their contributions by…

Especially during group work, I have noticed that some people find it difficult to stay focused and on task, therefore I value anyone’s contribution or willingness to take part in group activities (or more). I show this by always including them and sharing my ideas on a topic or assignment.

3. I can contribute to and work with criteria to improve my own work; evidence of that is…

Frankly, I prefer following criteria for a lot of my assignments because it allows me to align my work to a set rule so that I know what the teacher is looking for in an assignment. I love displaying my creativity in my work but I believe there should be criteria that help determine the quality or grade of people’s work. I go through the criteria carefully when it is given and helps me understand what to add or get rid of in my work.

What is one goal you have for yourself going forward?

Prompt: When I need to boost my mood or re-focus, I… or I respectfully advocate for my needs by…(Personal Awareness and Responsibility)

I did not use any prompts from this specific category because there was nothing to reflect on how I demonstrated this competency. I intend to work toward improving my Personal Awareness and Responsibility by seeking help when needed and focusing on myself and my actions or thoughts without having to align everything to my high expectations/ standards. I believe it is important to reflect on myself once in a while and try not to beat myself up too much.

Personal Awareness and Responsibility: How I manage school-related stress

  1. When I am sad, angry or frustrated about school, doing something I find relaxing helps me be more productive or calm. I used to calm myself down by playing a musical instrument, the piano in my case. Pressing on the keys sort of took my stress away as well as the music it made. Doing something I am good at after being stressed about school which is usually caused by my dissatisfaction with my grades help remind myself that I have things I am actually good at and it doesn’t always have to be academic. In order to keep my productivity I take a few breaks especially when I feel burnt out. When I have free time I like to either watch movies or go out for walks because staying physically active (but not too excessively) reduces stress.

2. When distractions are getting in the way of my work, I often find a quiet place to study in places like the Library where I believe is the most appropriate environment where everyone is maintaining their voices at a low level, where it is peaceful and where everyone is focused on their own work. However, I sometimes find it hard to focus when it is too quiet and during those times I listen to music that doesn’t include lyrics because they are distracting, or go to a cafe with my laptop to prevent myself from losing focus. I find that being in a public space increases my productivity because I get a little bit more tensed up.

3. When I am feeling anxious about a test, I can calm myself by revising as much as I could and preparing for the test as much as possible because it reduces my anxiety by a great margin. When I feel extremely worried I don’t show any emotion because everything happens inside for me. I always text my parent on the day of the test because I need assurance to feel relieved, they are always so encouraging. Right before a test, I revise as much as I could during the time remaining or space out so that I’m not thinking about the test at all because once I focus on something the worry comes back. But overall there is nothing more effective than being ready and prepared for the test.

4. When I am feeling down about school, I remind myself that school is inevitable and that there is no point in feeling upset about something you have to get through anyway. I believe school is one of the most vital parts of preparing for adulthood. I try my best to enjoy it since I don’t have control over it, this includes homework, assignments and just being present at school. I know there are people who find school much more difficult and stressful than what I’ve experienced in the past. I always give everything my best because I gain so much fulfillment when I put in the effort and I know that school is worth it and that if everyone else could do it I could get through it too. It will benefit me in the future and even if I tend to push myself or put myself down when I am dissatisfied with my grades at times, I refuse to waste my energy on complaining about it. However, I try not to ignore these emotions because later when all these emotions build up you will reach a point where you have no willingness to do anything or try anything new anymore. Instead, I tell myself that effort doesn’t always guarantee success and that it is completely okay to fail at times as long as you always give it your best.