Pre-Calculus Core Competemcy Self Assessment

Core Competency Reflection

During this semester I demonstrated numerous core competencies. One of those competencies was being able to learn and use math vocabulary. I was able to successfully demonstrate my learning using the proper mathematical terms. I was able to do this both on tests and while helping my peers. This skill helped me better understand concepts and allowed me to demonstrate my knowledge more effectively.

Another competency I was able to demonstrate was the ability to strategically prepare for assessments. By figuring out what study methods work best for me, I was able to achieve grades I am proud of. By reviewing the class notes and doing numerous practice questions, I was able to quickly learn and understand concepts. If i became stuck on a particular concept or question, I would pracrice more problems from that unit untill I hqd a complete understanding. All these methods allowed for me to achive a grade I am happy with.

A different competency I was able to demonstrate was the ability to work collaboratively with others. While doing board work and class. I was able to work well with those in my group and effectively collaberate with eachother to solve problems. This allowed for more success for me in the class as explaining concepts allowed for me to rethink solving stratagies, and having more people availible to ask for help.

Advice For Future Students

My advice for future students would be to study the notes and do more practice questions than you think you need to do. Another piece of advice would be to study more than one day before the test and ask questions when you have them.

Transforming Parabolas

Parent Function

My equation

Desmos Graph

Significance of a

Changing variable a affects the form of the parabola. When in my equation, a was changed to -1/3, the parabola became wider. Because -1/3 is a fraction between the values 0 and -1, the parabola becomes wider than the parent function. In my equation, the value of a is also negative. Because it is negative, the parabola opens downward, unlike the parent function which opens upward.

Significance of h

Changing the value of h affects the horizontal shift of the parabola. In my equation, when h became -7, the vertex of the parabola became (7,1). This means it was shifted 7 points to the right along the x-axis from the original placement of the parent vertex which was (0,0). Because the value of h was negative in my equation it was shifted right. However, if the value of h had been positive, the parabola would have shifted to the left.

Significance of k

Changing the variable k affects the vertical shift of the parabola. In my equation, the value of k was 1. Because of this change, the parabola’s vertex became (7,1), which changed the y value from 0 to 1. This caused the parabola’s vertex to shift one point on the graph. Since the value of k in my equation was positive, the parabola’s vertex was shifted upwards.

Self Assessment

When explaining the significance of each of the variables h and k, I represented the same mathematical idea that changing these values results in a location shift of the parabola either vertically or horizontally. While explaining how changing the variables affected the location of the parabola, I was able to use mathematical vocabulary to accurately demonstrate my ideas. By separating the explanations of the variables into segments, I was able to clearly format my ideas in a concise way.

Chemistry 12 Core Competency Self-Assessment

Lab 20G; Titration of primary and secondary standard solutions

Communication Core Competency

This lab is a good representation of my ability to communicate with those surrounding me. I was able to work with others to achieve a goal. I also demonstrated my ability to take on roles and responsibilities in a group. My partner and I were able to successfully work together to achieve good products by communicating and sharing responsibility. We were able to properly titrate oxalic acid with sodium hydroxide. From this data we were able to find the amount of NaOH needed to neutralize the oxalic acid. From there we were able to create a standard solution.

Our Utopian City: Aimra City

Values

Community

Community is very important in a social environment. That is why it is one of our core values for our city. To make sure this value is met, we have a community rec centre (pink building) and walking trails along the bottom left of our town. These buildings allow for community engagement and activities for all ages to use and enjoy with other people from their area.

Health

Health is one of the values that we think is needed in a city. Without health, how can people stay safe and healthy physically? Health is the center of life, every part of our lives depends on having good health. This is why the city needs a hospital. The hospital is a green building located in the east of the city near the university we have.  

Education

Education is one of the core values of our town, as it is very important to have in a functional society. We showed this by building both a school and a university (the blue and the brown buildings). Both of these buildings are key to gaining an education and increasing your knowledge of the world. 

Safety

Safety is the backbone of a community. It is key to keeping the people in our city feeling safe and comfortable in their environment. No one wants to feel unsafe in their own home, so we added a police station to keep everyone secure and happy. This is the black and yellow building with the matching flag on top. 

Environment/Nature

Environment and nature are key to an appealing and inviting city. Additives to our city environment and natural elements help improve the quality of air and add nice scenery and views to our city. By adding trees to the tops of our residential buildings and parks and walking trails, we are making a happy and green environment for our citizens.

Symbolic Colors:

Blue: represents peace and happiness, it is found in the school and the sky. 

Green: represents calmness and hope, it is found in the hospital and the trees in our city. 

Communication Reflection

For this project, we working in a group to create our own core values and apply them to our very own city creation. To create our city, we used the website city creator. It is an easy and fun to use program. We were able to communicate and collaborate well with each other. By listening to one another we were able to make a project we are all proud of. We all worked together on the design of our city but we each had our own responsibilities too. We evenly divided the core values sections between us. I was in charge of the environment and community values. We got along well as a group and were able to complete all our work in the class time given to us. We made all our decisions as a group and if there was a dispute, we voted on it and accepted the result. I am happy with the result of our project. If I were to do this project again, I might attempt another program to build the city.