Hey,
I want the kids to be able to make this by clicking on two points on the segment and having an equilateral triangle show up. I know I could have done this in Geometer’s SketchPad years ago with their scripting and recursive functions, but I am wondering if someone has an idea for doing it with Desmos in AB?
”A line segment of length 1 is divided into three equal parts. The middle part is replaced by two sides of an equilateral triangle, with the base removed. This process is repeated indefinitely for each new line segment.”
I found an already made Desmos graph here: d e s m o s . c o m/calculator/pwoutzob3w. I have tweaked it a little bit to fit your description, but it starts with the equilateral triangle already being there. Hope this helps!
d e s m o s . c o m/calculator/s5sadlehgd
(Desmos doent let me post links so i had to put spaces)
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I modified that graph to make it start from a segment
and to go to the next level when you click the screen:
https://www.desmos.com/calculator/wrgkribnno
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Cool! Thanks. This will work– having the functionality for the S’s to more interactively create the curve would be great, but this is super for now. TY
Here is the AB I am using it in. Go to slide 27. This is a practice assignment for my Math 1 students– they can solve whatever problems they want. Sequence Practice • Activity by Amplify Classroom
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My math teacher also used Desmos last year. It was really fun!