![]() “Okay, let’s start slow and then go fast. “Okay, but I have a lot to do, and I don’t know how to do the mouth at all!” She pointed to the parabola of its tiny feline lips. For all of his asymmetries, this cat represented a lot of mathematical prowess. Its ears floated just North and East of its wide, oval face. She offered an apologetic smile.Ĭatalina had created a lopsided cat. Then she opened her chromebook slowly, turning it to face me. Reviewing Catalina’s WorkĬatalina pulled out her initial sketch that she had made on grid paper. We cheerfully arranged to meet later that day. “…that you could help me with my Desmos art project? It’s due soon and it’s really hard.” “Do you think…” she paused, and then started again with lowered voice. She had an impressively high growth score on last year’s state test. She now advocates for support when she’s feeling confused. I’ve known her for years, and I’m enormously proud of her mathematical journey. “Aww, I miss working with you, too!” I gushed. Laib!!! I miss working with you!” Last year, she was in a section of 7th grade that I co-taught, and I saw her in a small group for part of the school year. ![]() Nora had been wrestling with her feelings around the transition from our little K-8 school to the town’s only high school, and so she was working on a nostalgic rendition of the PBS Kids logo, a fixture of her youth. Sebastian had designed a Puerto Rican flag to honor his heritage. Within a few days, graphs were shaping into true artwork. (Outline a set of points, and the Desmos graphing calculator will shade the interior!) Then, after students had mucked about with inequalities for a few days, she introduced the polygon tool as an inefficient way to color in areas. The next day, she taught them how to create a custom color. She gave them formulas to help create unfamiliar figures, like circles and ellipses. and then breadcrumbed different techniques over the course of the week. The classroom teacher had given some loose constraints - use at least 8 linear equations, use at least 4 inequalities, use at least 4 horizontal lines, etc. ![]() It is a glorious capstone to their K-8 math experience at our school. It’s turned into somewhat of a monster, so it might be two separate posts.In the last week of two of school, the 8th graders worked on Desmos art projects. the next part (surface algorithms) is almost finished, so it should be coming soon. just an update on the MathGraph3D creation series. Thanks for reading! Kindly share this post if you enjoyed it. In this case, $A$ is clipped from the surface and not drawn. The notation used is a little confusing because at the time I made this graph, Desmos didn’t support defining functions that output points (or maybe it did, and I didn’t realize it).īasically, the graph allows you to define some parametric curve $\vec > 0$ for some point $A$, it means $A$ is on the side of the plane towards which the normal vector points. This graph can compute the line integral over an arbitrary parametric path on the given 2D vector field. When taking multivariable calculus, Desmos (and MathGraph3D) is your friend. Although the problem only asks about the case where the height is two, the graph is able to calculate the shaded area for any height, represented by $y_0$. Here’s the problem statement if you want to try it out for yourself. ![]() The problem is actually pretty simple, and doing what I did was way overboard. So, since I have mental issues, I spent two hours making a Desmos graph and writing up a LaTeX document with the solution. Given that the two smaller semicircles are tangent, and that the dotted line has height 2, what is the area of the shaded region? November 2019’s puzzle was particularly interesting in my opinion. Every month, they would post a math puzzle for the MCC community to solve. My linear algebra professor ran this fun little thing called the monthly puzzler. Last year, I took a couple math classes at my local community college. Anyway, on with the graphs… November 2019 MCC Puzzler That’s probably due to the fact that r/visualizedmath on Reddit won’t let me post anymore to share my work. This is probably going to become a yearly thing – despite that the previous part was my first post ever, it remains the most popular. Just like last time, I’m going to share a few of my favorite recent graphs on Desmos.
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