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Category: Math 9

Desmos Signature Math 9 2022

Here are my initials and additional drawing for this assignment.

And links, https://www.desmos.com/calculator/bxzynvtsto  https://www.desmos.com/calculator/03r3bsbo2b

Which equations did you use for each letter?

I used equations like mx+b, y=a and x=b with various inputs to effectively make my letters and my additional drawing.

How did you move them around and change their slant/steepness, height, length?

I would put different numbers to experiment how that affects the lines. For example, when I wanted a very steep slope, I would use numbers like 5 for x to put into my equation: y=5x+b. Same goes for when I want a specific height or length, I would put different numbers into the equations like: y=mx{4<y<6}+b to achieve the line I want.

Did you have any challenges?

Yes, aligning slopes to reach the same point to connect was very tedious to do and took a lot of time to get the hang of.

Any aha moments?

It was relieving when I would find the correct decimal placement or slope steepness to be able to connect the lines together perfectly.

Did you get help?

Not a lot, I worked on most of this assignment at home. My parents are not familiar with Desmos so when facing a challenge, I had to use trial and error to resolve the problem. I did find a YouTube video that helped me figure out how to change the colours of the lines which was helpful.

Did you use any strategies?

Yes, when creating my initials, I first sketched out a draft on some graph paper to visualize the rough idea of what I want my initials to look like. This helped me a lot while making my initials as the draft served as a great guideline to follow. I used these same strategies to make my additional drawing.

What did this assignment help you understand about relations and their graphs?

This assignment helped me understand how change the steepness of the slope affects other parts of the line like its location on the graph. Working on this assignment also helped me become very familiar with using equations like {a<x<b} which I was a bit confused with before.

 

 

 

Explore Math Reflection

I chose The Infinite Pattern That Never Repeats – YouTube as my video for this reflection.

I chose this video because I had seen it in my recommended previously but never really got to watch it. I find the whole idea of infinity really interesting, but almost impossible to believe that something can truly go on forever.

This video primarily covered geometry as it talked about tons of different shapes and patterns and their symmetries.

I found this video pretty fun to learn about. As said before, the idea of infinity is fascinating to me as it is so hard to wrap my head around how big it is. Watching this video also taught me many more new things other than the pattern itself. I learned what platonic solids are, what it means to “tile periodically”, what a moiré pattern is, what Penrose patterns are, and many more things.

I enjoyed how the idea for this video was portrayed as a whole experience, delving into the concept of this infinite pattern that never repeats. I find that most math or theory videos can be very monotone or boring to explain. However, I thought that the video was very intriguing to watch. I liked how so many different components were linked together in this video about a pattern. Some that surprised me were the connections with the golden ratio and the Fibonacci sequence. I thought the editing was great and included many useful diagrams and other visuals that helped the video be more intriguing. I also thought the host did a great job showing how interested he was in this topic. His excitement and attitude towards narrating his experience during the video definitely helped me stay interested.

The segment explaining and showing what a moiré pattern is was super cool to watch—seeing how the patterns matched to reveal another pattern of unmatching radial lines. I think this segment was mind-blowing for me because it was my first time ever seeing a moiré pattern. I will definitely be looking more into moiré patterns as I think they’re really cool.

This video was fascinating to watch. I found it so crazy how much order there actually is in randomness. This video brought up many interesting topics like crystal structure or quasicrystals that sparked my curiosity to look deeper into some of them. I actually enjoy watching videos very similar to these in my free time, so this assignment was quite fun to do. The video reminded me to get back into watching more videos like these.

A question I have about this video is; Why are circles, or other round shapes, not very common to find in aperiodic patterns (as shown in the video)?

 

 

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