Recap Post

This nine weeks i felt very comfortable with most of the topics. I especially felt comfortable with the factor trees and GCDs and LCMs. The one thing i was not comfortable with was when to do the t^n/2 formula. That is definately the easiest thing ever and most people are probably laughing at me, but honestly, i never knew when to use it. Another thing i felt comfortable with was the groups of pennies and then how many different ways..that stuff was easy.


This nine weeks went by pretty fast with some pretty easy terms and topics. Hopefully the next three are the same!

Post

I feel like I have mastered how to use the prime factorization to find the gcd and the lcm of two or more numbers. This is a much easier process then trying to compare all of numbers. I still am having problems with when they tell you to find the multiples of some number between two numbers using the prime factorization, so instead I just use the sieve. I think that I can improve my grades by looking over what we did in class and doing my homework every night.

ReCaP

The lesson in number theory that i have i mastered the most is finding the greatest common divisor(GCM) and the least common multiple(LCM) of numbers by using prime factorization. Before NUmber theory, i knew how to find them but it took me alot longer than it should have. I stuggle to find the product of the LCM of a number. I tend to get that confused with finding common divisors. Maybe i should stop kidding around in class and ask more relevant questions pertaining to the lesson.

postttt.

What I feel like i've mastered this nine weeks is how to find lcm and gcd. i always knew how, but i would get it confused between the two of them. from so much practice, i don't think i will ever forget it now. I struggle with how to find gcd if given the lcm. I don't understand how that's possible. I need to take more legible notes, and maybe I could understand what i was actually writing down.

4 most important numbers

Hmm For my four most important numbers I would have to go with pi, and e. As far as two others I would go with the golden ratio because of the significance that it holds and i (which is imaginary but still pretty important... I'm not sure if I can count i..) Pi because almost all geometry and trig need an approximation of pi so it is used in tons of applications, and e for a similar reason.

Just thought I would add the thoughts off the top of my head to this one...

Blog Prompt

What concept do you feel like you mastered this nine weeks? What concept did you struggle with the most? Why? What can you change this nine weeks in your study habits, etc to improve your grade?

Some comments

I just wanted to note that for the people that got 1/4 for the gcd*lcm problem, you were "correct" in method but incorrect in answer. I meant for the problem to read that a*b = 4096, so it was my fault, but the real problem with the whole thing is that no set of numbers exist satisfying the criteria I gave. I meant for the answer to be 4. Sorry about that.

I'll also comment that I feel like a lot of you (and by a lot of you I mean EVERY LAST ONE OF YOU) were VERY close-minded and didn't give any thought to the most important numbers in mathematics at ALL.

I assure you that there are FAR more important numbers out there than 4, 5, 100, etc. You guys REALLY should strive to think outside of the box sometimes. It won't hurt you and you might learn a thing or two really.