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Math 10 Core Competency Self-Assessment

Core Competency Reflection

Dealing with challenges:

In this classroom, I’ve been faced with numerous challenges with the many new concepts I’ve learnt so far. There were occasions where I would feel like giving up on a question that I found difficult without even putting a slight bit of effort. Regardless of my struggle, I have continued to try and push through and ask for help along the way. An example of this could be when I was making multiple attempts at the questions for the addition and substitution method. There were times when I would mess up and try again yet, I would still be wrong. I’ve had a question where I retried three times, but luckily on the fourth try I finally got it. Personally, I enjoy math and even though trying to find my small mistakes was tedious and time consuming, it gave me the chance to realize what mistake I made and to not do it again in the future. When there are times where I absolutely can’t figure out a question and where to start, I would ask my friends around me, my math teacher, or look on OneNote in order fully utilize my resources.

Working collaboratively with others:

Being able to communicate with others and have other people’s input made the material a lot easier for me to understand. It also provided me with a more interesting learning experience as I gained a stronger connection(with friends) while enjoying my math studies. It’s true that at times we got distracted talking on other subjects, but we tried to make sure we completed what was on the board first. In terms of groupwork, we would always support each other and try to follow whoever was solving the equation. It was often very productive and gave us a chance to practice all together before independent work. Solving the equations in groups gave me a sense of ease because I knew I had others to depend on especially if I got a bit confused with the new methods. Group work has definitely helped me improve my math skills and I hope we have it in grade 11 too!

Committing to Individual practice:

Throughout this semester, I was very motivated to get a high grade in this class. This idea resulted in my extra effort of completing more questions in the workbook than needed to gain a better understanding of my material. It gradually benefited my grades, which was evident when my test scores returned. It was also amusing to use the knowledge I had obtained to solve extra challenges. Plus, it’s a lot easier to do classwork, which is a win-win situation: I develop my math skills and my grade benefits with it. It is also good for my test preparation and setting my own pace. In general, doing individual practice both inside of class and outside makes math a lot more easier and gets me closer to mastering a concept.

Advice for Future Students

To succeed in Math 10, you should be paying close attention to the explanations to get a good understanding and basis of what you’re going to be doing. Then, of course you should try participating when your teacher asks a question or in group work. What’s more, preparing for tests and persevering through challenges is super important. Try not to hesitate too much or be too hard on yourself. Struggling is key when moving forward because it pushes you to work harder. Lastly, never be afraid to reach out and ask for help. It’s always beneficial!

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My Equation’s Domain and Range

My equation:

My graph:

Domain

A domain is the collection of all possible input values that may be utilized in a function. It is also commonly referred to as the x value because you can plug it into an equation and find the domain off the x-axis. My equation represents a domain with no limits, as shown by the arrows and lines that stretch in all directions continuously( in graph). Therefore, the domain is all real numbers.

My domain:

Range

A range is a group of all potential output values that a function can create. It is determined by testing the function with various input values and writing down all of the related output values. Similarly to domain, range is also known as the y value and found on the y-axis. The range of my equation is y is equal to or smaller than -5 as you can see below. This is because all the possible output values cannot be over -5.

My range:

Extra graph

This graph has the same equation but a different type of line compared to the original one. The small dots that continue in this parabola show points where the x and y values may differ. It demonstrates each position has coordinates that correlate to the input and output values.

Is the equation a function or not?

I strongly believe that my equation is a function after utilizing the vertical line test. A graph can be identified as a function if a vertical line can be traced across it and only intersects the graph at one point at any given time. If by chance it were to touch more than once, it would not be considered a function. As I used a pencil to go through the the graph vertically, it did not touch more than once. Hence this is a function, but not one-to-one.

Self-Assessment

An instance where I had to express a mathematical concept using different approaches is demonstrated by the arrows I included on both graphs. They both help to convey that the point doesn’t stop at the cut-off of the picture. I realize how important it is to draw them, otherwise, one would think the point ends there, leading to a completely different domain and range than stated in the above paragraph.

When defining domain and range, I tried to use mathematical vocabulary to explain exactly what they are so the reader could understand them effectively. I have also used some mathematical terms such as ‘the vertical line test’ when describing whether my equation was a function or not. In general, I have a clearer understanding of what these words mean and can use them successfully in sentences.

I made sure to organize my information clearly so that whoever decides to read my Edublog could understand what I’m talking about in an instant. I have clear headings to show what I’m talking about and I previewed my site several times to see if I should change the sizes of my pictures, etc. Also, I put in the extra effort to draw the arrows in the graph to show correctly that my domain is all real numbers. As well as using pictures to make my range and domain more noticeable, rather than making it small and less prominent.