mathlearningjourney

[mathlearningjourney]

My Math 3 Fourth Quarter Learning

Hello again! In this blog, I’ll be reflecting on my Math 3 Fourth Quarter learning journey! This time, we explored Sequences and Series, including Arithmetic Sequences, Geometric Sequences, and the Binomial Theorem. It was a mix of challenging and satisfying moment but overall, I enjoyed seeing how everything was connected.

❔How would you describe your Math 3 Fourth Quarter learning journey?

It was a little bit easy, but I had some trouble with Pascal’s Triangle. Some concepts felt familiar and smooth, while others—especially the Binomial Theorem—required more focus and practice.

❔Which topic did you find most enjoyable? What made it enjoyable for you?

The most enjoyable topic for me was Arithmetic Sequences. I liked how it had a simple and formula:

aₙ = a₁ + (n - 1)d

It felt easy because I just had to plug in the values and solve. It gave me confidence because it was consistent and easy to follow. Even solving for missing terms or the number of terms in a sequence was fun!

❔What concepts did you find easy to learn?

I found both Arithmetic and Geometric Sequences pretty easy to learn, especially once I understood their formulas. You just had to input the values:

aₙ = a₁ + (n - 1)d aₙ = a₁ × rⁿ⁻¹

Also, identifying whether a sequence was increasing or decreasing based on the common ratio was very straightforward.

❔What concepts did you find most interesting or inspiring?

The most interesting concept for me was definitely the Binomial Theorem. It felt very "math-magical" how you could expand something like (a + b)ⁿ using a formula and patterns from Pascal’s Triangle. Even though it was harder than the others, I liked how it brought together exponents, combinations, and patterns.

It made me realize how beautiful and organized math can be when you look closely.

❔What concepts have you mastered most?

I’ve definitely mastered Arithmetic Sequences the most. After doing lots of practice problems and understanding the formula clearly, I feel very confident using it. I can solve for any term, find the common difference, and even compute the sum of terms without much confusion.

❔What concepts have you mastered the least?

Honestly, the Binomial Theorem is still a bit tricky for me. I mean, I kind of get Pascal’s Triangle... but. I still need more practice to feel more comfortable with it. It is also very long.

❔Have you developed a better appreciation for mathematics?

Yes, I think I have! This quarter helped me appreciate math. I also learned that even if something is hard at first, I can improve with effort and practice.

📝 Quick Notes:

To my teacher: Thank you for explaining each step clearly and giving us time to practice. You helped me stay motivated even when I got stuck.

To my classmates: Congrats on finishing Math 3! Continue striving for great things in the future.

To myself:

Practice makes perfect.

🌈 Final Reflection

This quarter showed me that math has a rhythm and structure that you can learn to follow. Some topics were tricky, but every small improvement felt like a win. I’m proud of what I’ve learned and excited to keep improving in the next chapter of my math journey.

Thanks for reading! :D

[mathlearningjourney]

📚 My Math 3 Third Quarter Learning Journey ✨

Hello everyone! ヾ(≧▽≦*)o

In this blog, I want to share my reflections on my Math 3 Third Quarter learning journey. This quarter focused on logarithms, and to be honest, it seemed easy at first—but as we went deeper, it became more challenging than I had expected. Still, I learned a lot and grew from the experience!

How would you describe your Math 3 third quarter learning journey?

At the start, logarithms felt simple and easy to understand. I thought, "Oh, this is going to be a chill lesson." But as we got into solving logarithmic equations and applying more complex rules, that’s when things started getting harder. (っ °Д °;)っ I realized that while it looked easy at first, logarithms required careful thinking and lots of practice. Overall, it was a learning journey filled with ups and downs, but also growth.

Which topic did you find most enjoyable?

I actually enjoyed making mistakes and learning from them (as weird as that sounds!). The topic I found most enjoyable was transforming logarithms to exponents and vice versa, because it was just following the set rules. It was fun to see how numbers relate to each other in different forms.

What concepts did you find easy to learn?

Transforming logarithms to exponents and vice versa was the easiest part for me. At first, it was just following clear rules, like:

If log_b x = a, then b^a = x.

Since the steps were straightforward, I didn’t struggle much with this topic. (Even if I’m not the best in math, this was something I could understand pretty quickly!)

What concepts did you find most interesting or inspiring?

Well, since we focused mainly on logarithms this quarter, I’d say logarithms themselves were the most interesting. I found it quite neat how logarithms and exponents are like opposites transform into each other.

What concepts have you mastered the most?

I’ve definitely mastered transforming logarithmic expressions to exponential form and vice versa. After doing a lot of practice problems, I feel confident with these transformations.

Here's an image of questions that I have answered:

What concepts have you mastered the least?

The part I’m still struggling with is solving logarithmic equations. When the problem involves many steps—like applying properties of logarithms, isolating the variable, using the quadratic formula and simplifying—I get confused. I need more practice on this to fully understand.

Here's an image of questions that I have answered:

Quick notes:

To my teacher:

Thank you, Sir, for teaching us clearly and being patient. You made a hard topic easier to approach.

To my classmates:

Practice even more problems to improve

To myself:

You’ve improved a lot, but don’t stop practicing.

Final Reflection:

This quarter, I learned that just because something looks easy at first doesn’t mean it will stay that way. But even when things get tough, pushing through and practicing makes a big difference. I’m proud of the progress I made and excited to keep learning.

Thanks for reading! 🌼