The triangle inequality theorem is coming soon in 7th grade. We'll use physical tools (pasta) and virtual ones to explore both the theorem and how often we can make a triangle when breaking a line in 2 random spots: http://youtube.com/watch?v=d6CQQEHpm18

When I taught the Triangle Inequality Theorem, I used to give students different lengths of colored straws. Then when I became a virtual teacher I used Jamboard. I like your open ended explore prompt for the physical spaghetti strand. The inclusion of decimals and the number line adds a rational numbers fluency component. But curious - why not have the first dice roll you made equal 7? Six "ones" and ten "tenths" = 7? The final graph has a compound inequalities feel, which could be a great future linear inequalities in two variables connection for pre-algebra students. I'm trying to figure out the connection with Sierpinski! Have you seen the chaos game with dice? How did you get the excel sheet data into the polypad? Also the table? And it seems like you have a "background" with images that students can't erase (like the number line?)

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