Math 3 Learning Journey - 4th Quarter by Mikaella A. Tayaotao

To my teacher

matayaotao — 2025-05-21 01:09:27 UTC

Hi Sir Joseph, thank you for being our Math teacher this year. I am so sorry for all the times that I and we, as Lithium, have disappointed you and didn't meet your expectations. Thank you for still continuing to teach us to the best of your abilities despite us being insufferable at times.

I'm really grateful for how you taught us in this fourth and final quarter as it has made me approach Mathematics in a different but better way.

Thank you for being our teacher, Sir Joseph.

To my classmates

matayaotao — 2025-05-21 01:09:33 UTC

Thank you everyone for being so patient to me whenever I have questions about items that I don't understand. I hope that we all end this year with a peace of mind and not with a bugging conscience of what could have been if we did better because the journey is more memorable than the destination. Grades are just a number and what's really important is what we've learned from all our learnings.

And to myself

matayaotao — 2025-05-21 01:09:38 UTC

I'm happy of how we performed this quarter. DL or not, it's okay. Just remember to keep on studying and not giving up on your dreams. You also need to understand that studying is not for others, but for yourself and your future. Moreover, always have faith in the Lord for he will always be with you, every step of the way. Appreciate everyone who's helped you, especially Lola.

Lab you self:]

Fulfilling + Best quarter out of all the 4

matayaotao — 2025-05-21 01:59:37 UTC

I'm very satisfied with my performance this quarter, particularly because it is so much more better compared to the previous quarters. I got to grasp the topics faster, as well as retain the solutions better.

I also really liked how the FA's were written and to be submitted at the end of the period rather than online submission because it made me not procrastinate the requirements. Such activities also made me gradually review the topics, rather than cramming them all in my brain in just one night (the night before the major tests).

I also wanna add how much I appreciate that the FA's were open book and open notes because almost all of my answers and solutions are in my notes.

Pascal's Triangle

matayaotao — 2025-05-21 07:14:17 UTC

I found this topic the most enjoyable out of all because of how the sequences work. I love how you just add the numbers next to each other to get the number below them. I also got really interested with how you can use the nCr function of the scientific calculator to get the numbers.

9.1 - Finding the terms of a sequence

matayaotao — 2025-05-21 07:17:01 UTC

In this question, I am specifically referring to the items in exercises 1 to 16 of section 9.1. I find them easy because everything is already given to you. You just have to substitute the number of the term you are looking for to the variable/s in the given equation. It is very easy and just a few clicks of the calculator will finish the work.

Pascal's Triangle

matayaotao — 2025-05-21 07:18:57 UTC

As I said earlier, the Pascal's triangle really intrigued me because of how it is arranged and how you can see that it is the epitome of a sequence. I can't believe that someone actually got an idea to create the triangle because it looks so basic yet also so complex. It's existence alone is a reason to make me search for more sequences. Because of these, the Pascal's Triangle is really interesting and inspiring at the same time.

Image:

matayaotao — 2025-05-21 08:31:32 UTC

9.1 - Finding the terms of a sequence

matayaotao — 2025-05-21 08:33:41 UTC

The concept that I mastered the most will also be the concept that I found the easiest. The reasons I mastered this topic is similar to my reasons of why I found it easy. It just requires substitution and can be solved, even without a calculator.

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matayaotao — 2025-05-21 08:38:24 UTC

9.3 - Finding the sum of an infinite geometric series (if it exists)

matayaotao — 2025-05-21 08:43:41 UTC

I mastered this concept the least because I haven't done much exercises and preparation regarding it. I also forget the formula on how to get the sum, which leads to me not knowing how to answer a question about it, an example would be during LT1. However, I only have myself to blame as I really avoided reviewing this for the exam as it looked too difficult and complex.

Yes, I did.

matayaotao — 2025-05-21 08:49:54 UTC

I did develop a better appreciation for mathematics because this year made me remember that Math isn't fully made up of complex solutions and equations. There are also times where I can lay low.

Moreover, the real-life applications found in the book given to us made me realize that something full of solving and seemingly has no application in the real-world, such as the binomial theorem, is actually being used in life.

The sequences

matayaotao — 2025-05-21 08:53:43 UTC

I believe that out of all the lessons we had before, the one I will retain throughout my life would be about sequences. It is because they are found everywhere and anywhere in the world, even in simple cooking is we can see sequences. To add to that, sequences could also lead to several mottos in life such as the quote: "I am above the weakness of seeking to establish a sequence of cause and effect, between the disaster and the atrocity." by Edgar Allan Poe

Another quote would be "To me, movies and music go hand in hand. When I'm writing a script, one of the first things I do is find the music I'm going to play for the opening sequence." by Quentin Tarantino

This just proves that sequences are found in all aspects of our life. From the way we walk to the way we think. And that is why I believe I will retain it in this lifetime.

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matayaotao — 2025-05-21 08:57:19 UTC