Today we did some Geogebra activities. Following the
procedures on work-sheets, we traced the angles along the x and y-axis and
created a triangle. We then drew a second triangle using this weird method by
clicking a button that enables us to make a copy of the triangle that
originates from a certain point. We then did the same thing for the second
activity only this time we had to make a reflection of the angle across the
x-axis. The last work-sheet was the most confusing. Following the procedures,
we had to draw a new triangle and then find the pre-images and reflections of
each of the x and y-axis. On another table we had to find the x and
y-coordinates using the horizontal line-slider and the vertical line-slider. I
was really stumped because it was also confusing. I had to keep track of which
triangles were the original and second triangles.
The professor showed us some art-works about tessellation.
There were images made up of similar patterns that it was almost like an
optical illusion. She also showed us a math video from “Cyberchase.” The topic
was about tessellation. In this video an artist finds how he can move around
similar objects to create a large object. But they all must be the same shape
and they cannot over-lap or form gaps. Tessellation is a pattern made by
repeating a regular polygon. They can be moved around using translation,
rotation, and reflection.
Here is a very helpful link that further explains the
methods of tessellation. There are different shapes and patterns. Notice how
they are allowed to have more than one shape.
This is a really cool slide-show on tessellations:
I don't know what it is about tessellations, but I am always fascinated by them. I also had a rough time with the last worksheet in class too. It takes practice I guess. I really liked how you gave definitions within your post. I also really enjoyed the video that you posted. I have to say the elephant one was my favorite. Thank you for such an excellent post. :)
ReplyDeleteRichard,
ReplyDeleteI really liked the tessellations video you posted. I always liked drawing tessellations as a kid, and watching the video made me want to do it again! I was kind of confused by the last worksheet we did in class. I understand we were supposed to understand the relationship between the (x,y) coordinates of reflected shapes, but I'm not sure when I would be able to explain that idea to any students. I had a hard enough time figuring it out myself! Great post!
-Kate Makris
Not only do I like the video of the tessellations, but your whole blog is very awesome and full of information.. Since I missed class on Monday I had to do these worksheets by myself and to be honest I probably wouldn't have even tried without your post!
ReplyDeleteDavid Gutierrez