Category Archives: Math 11

Pre-Calculus 11 Core Competency Self-Assessment

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Core Competency Reflection

To begin, Learning the vocabulary within this course was the most hardest aspect in my opinion because I had to ensure that I understood what I was talking about. For example; not just completing the answer and just showing the operation on each step. Because when we see every small math problem it contains a characteristic to it. For example; The characteristics of a Parabola would; opens up, and open down the Ys are the same, symmetrical, and no vertical shift. While, the notes came in handy another aspect that I took into consideration is working collaboratively with others especially, when it comes to groupwork. Having on hand-notes helps me reflect on it when I needed it the most, while I combine who my groupmates knowledge. This led to me knowing how to commit to individual practice, and how to problem solve when I’m stuck on a problem. However, if it was really bothering me I would message my friends who are currently taking Calculus 12 this semester. If in that case it still didn’t work then I would write down questions and place a sticky note next to it, then as questions when I return to class the next day. However, sometimes I would refer to the videos on the Extra resources, section on Teams, next to it is my notes because it contains more of the vocabulary aspect. Which, came in handy with the preparation of future exams. Leading for Strategically preparing for assessments is an aspect that requires more of a slow growth. Instead, of me trying to cramp each aspect of sections into one which takes longer periods of time. In-which I should prioritize more of the questions that I don’t really understand.

Advices That I Would Give To Future Students

Take a ton of notes especially, within Class and group works. Therefore, I highly recommend if there’s a question that you are unsure about during the Group work, once you have gotten the solution write it down as a note. Therefore, for sure you would need it for the future.

My Parabola

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My Parabola in Desmos

The Parent Equation and The Equation with Explanation

The significance of A, H, and K in my equation is the difference it makes then the parent function. However, since the Value on “K” is negative that indicates that the value will shift down and that is what you see up above at the Parabola. Therefore, when you look at the parent function it would shift up instead of down. When we turn of the 1/2 value also known as “A” we can notice the following: 0 < a <1 therefore, we can already notice that it would stretch out rather then the parent function. “H” Symbolizes the shifts and so, that it’s negative then that indicates that it would shift to the left. Therefore, to summarize the whole difference on how it differs from the Parent values are their Values. The Parent values the opposite then my own equation, in conclusion the shifts of the parabola are in the opposite directions of up and down, and side to side. A better explanation is the notes that was given and what I used:

The significance of the Values :

Self-Assessment: 

Mathematical Ideas In Multiple Ways

An example from this assignment where I represented the same mathematical idea in multiple ways are the following:

All the functions in the equation is all the characteristics of the parabola such as the shifts direction up and down (range), the direction, and the width

To conclude my explanation is that all the characteristics of the Parabola was represented in multiple ways, just as-well differing from the original parent formula

The Vocabulary

During, this assignment I as-well had to use is the Vocabulary terms such as the Vertex, Range, and the Determination of the Width of the Parabola. That you must consider that if a > 1 then it would compress and if 0 < a then it would stretch out.

The Organization

Everything, is organized by category all relying on the category of what the Paragraph and explanation is. As-well as-providing notes and examples that I have used during this unit that Extremely helped with muy understanding. Indicating, that it is a very well explanation.

Facing A Challenge

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The First Problem I Had Difficulties With.

Reflection Paragraph

The first time I tried this problem I found it challenging because, it was the first problem that I came upon on again in a year. This indicated that I needed time to refresh and go over the past material in-order to move forward successfully, even if this meant to review the basics of basics. When I first attempted to solve the problem, I contained numerous and very hilarious mistakes. This would include, forgetting how to factor out the GCF creating small mistakes of miscalculations within the steps. Therefore, I came into consideration that if I didn’t know how to solve this a specific part within the entire question, then I couldn’t move further onto any steps. Because every step was a big part that the other steps built on. Therefore, I used countless of materials In-order for me to be successful. I had to watch over YouTube videos that go over step by step and provide a detailed procedure/explanation. Then, when I contained the basic of skills such as factoring binomials and trinomials I attempted the question again. If however, I was stuck on a specific Step I would consult first the teacher right away, then my classmate. Within, the building of my knowledge the skills I needed to remember were the most important ones such as the combination of like terms, factoring, and lastly the rule of dealing with positive and negative. This could help when I encounter a much more difficult problem because I can go over it step by step while applying the knowledge that I have previously learned. However, it gets too difficult then I would consult a teacher or my tutor.

How I Also Used The Core Competency

To summarize the entire paragraph the key aspect that I took into consideration on, is to not to panic over the amount of steps that need to be taken. Rather, then to come down get help when needed and to review the material. The type of core competency that I used also needed to review on critical thinking