My niece and I were playing around with Magnaformers and we had just enough to create this family of geometric solids.
My niece argued that the figures should be ordered from smallest to biggest. Unimpressed by my argument that they were ordered smallest to biggest, if you considered the number of sides of each figure, she insisted on reordering them and we took another photo.
For someone who claims not to like math, my niece sure does enjoy playing around with mathematical ideas!
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More from my fun with folding series: after having fun making paper pyramids, I thought I’d try out foam board as a medium. As before, I began by connecting the midpoints of the sides of the triangle to form its medial triangle.
Then I scored the medial lines, bent, and taped!
A rotation gives a sense of how oblique this pyramid is.
My students and I enjoy exploring questions like “Will this procedure always produce a pyramid?” and “What other kinds of solids can be formed in this manner?”
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Here is some student work from a recent project I conducted on fitting curves to images in Geogebra. The details of the assignment can be found here, and more examples of student work can be seen on my Facebook page.
Students were asked to find pictures and use Geogebra to fit trigonometric curves to the images using transformations. Here are some of the results.
Smart Water = Smart Curves
My Good-Looking Windowsill
Sine of Camel Humps
Overall, I was really impressed with the creativity the students showed, and their facility with fitting these curves to the forms! A mathematical and artistic success in my book.
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There are many reasons to love Five Guys: good burgers, fresh fries, and free toppings, to name a few.
But I’ve got another reason to praise this fast food establishment, one that is near and dear to my heart: menu pricing consistency.
I snapped this photo at the Five Guys in Brooklyn.
If you look closely and do the calculations, you will notice that the addition of cheese costs the same 72 cents no matter what sandwich you add it to. Not only that, but the difference in price between Burger Type X and Little Burger Type X is $1.68, regardless of which Type (“cheese”, “bacon cheese”, etc) you choose.
It should be this way. Cheese is cheese; an extra patty is an extra patty. But I’ve spent a lot of time analyzing and deconstructing menus, and rarely are they so mathematically sound. If you don’t believe me, just check out this Wendy’s menu!
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