Pre-Cal 11 Parabola

Equation

y=x2 is the parent function while 𝑦=βˆ’1/2(π‘₯βˆ’3)2 βˆ’4 is my given function.

Graph

Each line is colour-matched to the equations above, the red line is 𝑦=βˆ’1/2(π‘₯βˆ’3)2 βˆ’4, while the purple line is the parent function y=x2.

Significance of a, h, an k in “y=a(x-h)2+k”

  • “a” in my function is -1/2, the significance of it in my function is that it determines the width of the function. Since there is no “a” in the parent function it assumes its 1, so that for every “y” it equals x times itself. The width of the parabola is affected by β€œa”, as if the number is bigger the parabola is narrower, and if it’s smaller (like a fraction) it becomes wider as β€œa” gets closer to 0, if β€œa” is a positive number it will open upward with a minimum value and if it’s a negative number it will open downward with a maximum value.
  • “h” in my function is 3 (because the original equation being (x-h)), h determines where the vertex of the function is on the x axis, as shown in the graph above the red line being my function is shifted over to positive 3 on the x axis (x=3). The parent function is on x=0 because theres no “h”, so it assumes it’s 0 since no number is given.
  • “k” in my function is -4 and the significance of this number is that it determines the vertex on the y axis, in my function the line is shifted y=-4 down alongside x=3 from “h” above. Similar to “h” if theres no number representing “k” it’s just assumed to be 0 therefore the parent function is laying on (0,0) because of this.

Self-Assessment

  • Q – Give an example from this assignment where you represented the same mathematical idea in multiple ways.
  • A – I explained how “h” and “k” are similar in their rules on how it affects the vertex on both the x and y axis respectively, I stated that they share the rules that if there’s no number representing them it’s assumed to be 0 given the parent function.
  • Q – Give an example from this assignment where you used mathematical vocabulary to demonstrate your understanding.
  • A – I used terms like “function”, “vertex”, and “axis” to demonstrate my math vocab and also explain in the case of vertex what it does, it moves the point of the line on the x and y axis.
  • Q – Give an example from this assignment where you used formatting to share the information in a clear and organized way.
  • A – I used tools given from the blog editor such as headers and image embedding. I also presented my information in chronological order in relation to the requirements on teams. Lastly I used bullet points to separate the “a”, “h”, and “k” significances from each other as well as giving context to the screenshots above.

Intro Spanish 11 Core Competency

Artifact

Core Competency “I can” statements

  • I can take on roles and responsibilities in a group, I do my share. I demonstrated this by doing my part in making the script and to check if it reaches the project requirements.
  • I can form new ideas to create new things. I can also build on the ideas of others. I demonstrated this by giving ideas about finding ways to incorporate things we learned in class and on the project criteria into the script. I helped build on some parts on the conversation to include stuff we learned in unit 4 of our Intro Spanish course such as vocabulary, sentence structuring, and new communication methods.
  • I can work with others to achieve a goal. I demonstrated this as I worked with my partner to make our script and present it to the class while working along the criteria.
  • I can develop a body of creative work over time. I demonstrated this as I was able to in collaboration develop our conversation script with it being under criteria. I also gained experience from this on a social aspect with presenting.

One goal moving forward

I want to improve on asking open-ended questions to gather information. I want to improve on this because asking questions can help get a better understanding on my tasks rather than doing the wrong thing because of not getting the answer to my problem. When I do ask questions and get answers I find to get a better idea on what my plan is for whatever I am doing (assignments, projects, tests, etc.) which can help me succeed in the future.

Computer Programming 11 Core Competencies

In the circuit playground unit, we were required to create a project where we would utilize adafruit circuit playground features that we would discover on our own. My project utilized features such as the accelerometer and touch sensor, 2 board features that we did not use in our other assignments therefore I had to search up how to implement these into my code. At first I thought this would be a nightmare of a project because I didn’t think I was going to be able to execute my project. I eventually did and succeeded as I stuck to my project plan and got it done. My project is a gravity wave program where using the circuit playgrounds accelerometer, touch sensor, and neopixels, it would simulate how water would be affected by gravity in real life based on how the circuit playground was held, and if the touch sensor gets input it will create a splashing affect on the water. I thought I did good in sticking with my plan and executing my project successfully as well as problem solving.

I can statements

  • I can make my ideas work or I change what I am doing
  • I can use my experiences with various steps and attempts to direct my future work
  • I can experiment with different ways of doing things

Core Competency Learning In Physics

Core Competency

I belive my work above demonstrates the “Acquiring and presenting information” core competency as I had been able to present how the lab was done through the diagram at the top of the lab. I was able to present my calculations I got in this lab by labeling each material/surface combo and display the how I got the answer for each combination. I used tools such as a table to sort the friction for each material/surface combo to show what I first got from my lab before I jumped into the calculations. The diagram demonstrated what I did in this lab and how I got my information so that it can be repeated in the future. Everything was organized in a way the reader can view the work easily and efficiently as everything was in order from the diagram, to the lab results and then to the calculations which led to my final results.

Computer Programming 11 Core Competencies

In unit 2 some of the stuff we learned was reading from excel.csv files which we were then able to use for programs such as a personality matching bot shown in this example. This was tricky to learn because it involved some problem solving when changing the code to allow multiple peoples names to be shown on the output. But after I solved what was wrong I was able to get a functioning bot running that will find people who answered with similar answers from a survey. This is something I am proud of because this is basic stuff that is used for stuff like recommendation systems on social media platforms and being able to replicate something similar in python is cool because I get to also learn what is taken for making those advanced systems, not to forget I was able to overcome the troubles and obstacles of this assignment.

3 Core Competency Prompts

  • Critical Thinking: I can consider more than one way to proceed an investigation (applied here because I took a look at multiple ways to solve the coding problem)
  • Personal awareness and responsibility: I can persevere with challenging tasks (also applied here and in some of my other programs as I was able to eventually get through the challenges)
  • Critical Thinking: I can experiment with different ways of doing things (applied in some of my other work as I tried different ways to code the program)