Category Archives: Math 11

Pre-Calculus 11 Core Competency Self-Assessment

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Core Competency Reflection

Working Collaboratively With Others

During this semester, I showed collaboration by working efficiently with my group, this included figuring out the group work questions together, assigning each other roles and turns in solving the questions, and finally, making sure that our group fully understood the topic, so that we could all have an opinion or share on the answer. I also showed collaboration when I shared my laptop with my classmate in order for us to get the Desmos assignment done, and work out how we could change the equations so that we could receive the most points possible.

Managing Time Effectively

During this semester, I had to find ways to manage my time effectively as I was getting lots of pressure with my upcoming tests and assignments in the class and I didn’t have much time to study. Therefore, I decided to manage my time efficiently and try my hardest not to get distracted when I was doing my work so that I can make sure that I always stayed focused and on task, and so I can be able to finish and understand as fast and as efficiently as I can.

Strategically Preparing For Assessments

When preparing for the assessments, I needed to make sure that I fully understood the topics I was studying and that I was able to answer any given question easily. Therefore, I needed to be strategic, and to be so, I made sure that I always reviewed all of the units required for the test, and by going back to the group work questions, and testing myself by solving the questions. Another strategy that I used was watching videos on the topic or unit we had the test on, I did this as a finale just to confirm all my learning and it was also my technique for reviewing everything I had studied.

Advice for Future Students

Consistently review the lessons and units every time you finish one, even if your test isn’t anytime soon. This strategy will help keep the information you learned and will help you with confirming your learning so that you won’t forget the lessons anymore.

My Parabola

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The equation on the top is my own equation, and the equation on the bottom is the parent function equation. These equations are quite up different as they differ in both the “h”, the “a”, and the “k” values, which all play a significant role in determining how a parabola looks like when graphed. The “k” or -2 in my equation is responsible for how far up or down my parabola is vertically shifted, and that’s why you will see that my parabola, is shifted 2 points downwards from the vertex of the parent function. The “h” or 7 in my equation also plays an essential role as it determines how far left or right the parabola is horizontally shifted, and that’s why you can see on the graph that my parabola is shifted 7 points to the left from the vertex of the parent’s function parabola, as if “h” is negative, the parabola shifts to the right and if it’s positive it shifts to the left, in my case, the “h” was negative and that’s why my parabola was shifted to the left. Finally, the “a” or the “-2′ in front of the brackets, determines how wide/narrow the parabola will stretch and whether it will open either downwards or upwards, and that’s why you could tell that my parabola opens downwards and its curve is much narrower than the parent function parabola, this is due to the “a” or -2 on my equation, being further from 0 than how far the value of “a” or 1 on the parent function, is closer to 0.

Self-Assessment

1. Give an example from this assignment where you represented the same mathematical idea in multiple ways?

While completing this assignment, I represented the same mathematical idea when demonstrating what my given equation would look like without the “a,” “h,” and “k” values separately, in order to evaluate the differences and argue how each of these values affects the parabola in significant ways.

2. Give an example from this assignment where you used mathematical vocabulary to demonstrate your understanding.

During this assignment, I was able to use mathematical vocabulary to demonstrate my understanding when explaining the significance and relations of each “a,” “h,” and “k” value with the parabola and how it changes the way a parabola looks graphed, as when explaining I used vocabulary like vertical shift, horizontal shift, parent function, vertex, stretch, …etc.

3. Give an example from this assignment where you used formatting to share the information in a clear and organized way?

I was able to use formatting to share my information in a clear organized way by using demos so I could have a clear picture of my parabola. additionally, I also used different colours for my parabola and the parent function parabola, to make it clear enough to know which one is mine and which one is the parent function’s. Finally, I also showed formatting by bolding the headings and changing their sizes, so that they could look neat and so that it looks clear enough for the reader to know that I’ve started a new topic.

Facing a Challenge

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Image of Solved Problem

The first time I tried this problem I found it challenging because I wasn’t able to figure out how I could multiply two radical expressions as I didn’t realize that when multiplying radical expressions with more than one term, you would need to use the foil method, were you multiply term by term. Furthermore, the first time I tried it I just multiplied the first term by the first term and the last term by the last term. Therefore, the strategy I used to help me figure out the problem, was to go through one note and revise all the notes within that unit, in order for me to find the steps needed to solve the problem. At last, the concept I needed to solve the problem was FOIL, therefore, I must make sure to keep in mind that I use FOIL whenever I am multiplying radical expressions.

In Conclusion, the next time I encounter a complex problem, I will go through all my notes so that I can carefully revise and understand all the steps needed to solve the problem.