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Don’t pressure yourself too much and continue to practice. It’s ok to take a break and then give it your all. Always remember what you’ve learned. Not only in this school year but also in the previous years because it would come in handy in the future. Kaya go tehh, kaya mo toh and congrats din kase natapos mo na rin tong school year!!!! hehehe

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Even though I don’t do group sessions that much and mostly study on my own, I could still see the effort my classmates put into solving the exercises, which I found really inspiring. For some of them, math might not be their strongest subject, but they were still willing to learn, improve, and support each other. This showed me that dedication and a positive attitude matter just as much as natural ability. It made me appreciate the value of perseverance and teamwork, even if I prefer studying independently.

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Hiii Sirr Josephh!!! Thank you so muchh po talaga sa lahat and kahit challenging yung mga topics, tinulungan mo pa rin kami at binigyan din ng mga problems to solve para hindi rin po kami mahirapan. Kaya as our Math teacher for this school year, sana kung ano man naturo mo sa aming batch 2028, maituturo mo rin sa mga incoming grade 9 students and makita rin nila yung potential mo as a math teacher talaga. Kayaa tyy talaga po sir and mamimiss ka rin namin sir huhu…

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‧₊˚⋅📃Honestly, have you developed a better appreciation for mathematics? What lessons, or discussions related to your topics, will you be able to retain throughout your life? ✎..𖥔 ݁

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‧₊˚⋅📃Honestly, have you developed a better appreciation for mathematics? What lessons, or discussions related to your topics, will you be able to retain throughout your life? ✎..𖥔 ݁

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Yes, I did develop a better appreciation for mathematics this 4th Quarter. Especially since it focused more on formulas and sequences, it was easier to follow the topics discussed. With the help of the exercises in the book and the examples provided, I was able to understand how to solve the problems step by step. Although some problems were time-consuming for me, I learned that with practice, patience, and dedication, success is achievable, especially when preparing for finals. I have come to appreciate every moment spent learning because each challenge has a purpose. It helps me build critical thinking skills, improves my problem-solving abilities, and teaches me perseverance. These lessons go beyond math but they also apply to life itself. I believe that the understanding of sequences, formulas, and the importance of persistence are lessons I will carry with me throughout my life, reminding me that progress often comes gradually and that patience is key to mastering any skill too.

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                      ✎📓LEAST MASTERED ̆̈✧˖°🗒

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                      ✎📓LEAST MASTERED ̆̈✧˖°🗒

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Compared to the other lessons discussed during the 4th Quarter, I would think it's the Binomial Expansion, specifically when I had to find the terms that contained specific variables or powers. This was more challenging for me because it required a deeper understanding of the binomial theorem and how to manipulate the formula to isolate the desired term. I often struggled with correctly identifying the values to plug into the formula, and I found it difficult to keep track of all the exponents and coefficients. This complexity, combined with how time-consuming it is, made it harder for me to master this lesson  compared to the other topics.

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                      ✎📓MOST MASTERED ̆̈✧˖°🗒

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                      ✎📓MOST MASTERED ̆̈✧˖°🗒

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I would think the concepts I’ve mastered the most would be Arithmetic Sequences because it is what I found easy and, as I mentioned, it is also what I’ve practiced the most. While working through the exercises in Chapter 9.2, I quickly grasped the formulas, and as I continued to apply them, I solved more and more exercises on the topic. This constant practice helped reinforce my understanding which makes it easier to recognize patterns. The more problems I solved, the more confident I became, and I was able to solve these complex problems with ease.

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                  ✨🌟INTERESTING CONCEPTS🌟✨

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                  ✨🌟INTERESTING CONCEPTS🌟✨

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Concepts I found interesting were the combinations. At first, I didn’t understand what is the relation of the Pascal’s Triangle to this certain topic and the point of this symbol, “!”. Yet as we continued to explore it, I discovered that Pascal’s Triangle is a helpful tool for finding the coefficients in combinations, and the “!” symbol represents factorials, which are used to calculate the number of ways to arrange items. Learning how these ideas work together to solve problems involving different groupings was fascinating. It showed me how math uses patterns and formulas to make complex counting easier.

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Concepts I found easy to learn were the Arithmetic Sequence. I think what made it easy for me was because it was introduced during my elementary days and the exercises I mostly solved in the book. Arithmetic Sequence is all about adding a constant number to each term to get the next one, which feels straightforward and logical. Since I was already familiar with the idea of repeated addition and patterns, understanding how the sequence works came naturally. Solving the exercises helped me recognize the pattern quickly and apply the formula without much difficulty.

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The topic I would say I find most enjoyable was the Binomial Expansion. Despite it being time-consuming, I enjoyed it because it felt like solving a puzzle and how there is a clear method to expand these expressions that seems like there is a pattern. It even challenged me to think carefully and be cautious which made it worthwhile when I finally got the correct answer as I solved it.

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                              🎧ྀི☕4TH QUARTER LEARNING JOURNEY📝📝

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                              🎧ྀི☕4TH QUARTER LEARNING JOURNEY📝📝

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During my 4th quarter in Math 3, I focused mostly on learning about Sequences and the Binomial Expansion. Even though I first learned about these topics back in elementary school, I was surprised to discover that there are many different formulas and interesting ways these formulas were created. Sequences seemed easy at first, but I still faced some challenges along the way. The Binomial Expansion was the trickiest part for me. Although multiplying the terms is simple, using the binomial theorem to expand and simplify expressions took a lot of time and sometimes felt confusing.

Overall, my 4th quarter in Math 3 taught me a lot about how important it is to understand and carefully apply the formulas. It also showed me that even topics that seem simple should not be underestimated, and that paying close attention to each step is very important to avoid mistakes. That’s why with every pattern you follow, you continue to grow and change as the moment builds on the last change to create a beautiful journey.