Hexaflexagon Twenty-Four Hours 2015
October 21st was Martin Gardner's birthday. Every year, I convey my students brand hexaflexagons to celebrate. This year, all of our juniors were taking the ASVAB that day, thus classes were already disrupted. I ever experience slightly guilty virtually skipping out on a 24-hour interval of what could endure state-mandated curriculum practice, but I experience similar showing kids this creative side of math is important, too.
I presented on hexaflexagons at TMC14, together with I made a giant hexaflexagon for that presentation. So, that had to come upwardly out!
I used clear packing record to connect the carte du jour stock triangles, thus I unfortunately couldn't color the entire thing. :(
Here's me together with my giant hexaflexagon. The equilateral triangles convey a side length of 8.5 inches.
Since this is already glued together, I decided to brand only about other demonstration hexaflexagon. I printed 2 equilateral triangles (7.5 inch sides) to a canvass of carte du jour stock together with taped them together. This is only slightly smaller than my assembled one. (Download file for these triangles to brand your ain here.)
Cut out:
Assembled:
This helped a lot amongst showing students how to flexure the hexaflexagon.
I began shape amongst a video of Martin Gardner demonstrating a hexaflexagon. It's a 2 infinitesimal excerpt I constitute on youtube from David Suzuki's 1996 "The Nature of Things" program.
Next, I showed them Vi Hart's introduction to hexaflexagons video.
After watching this video together with commenting virtually her dissimilar colored sleeves together with how super fast she talks, nosotros in conclusion laid to cutting out together with creasing our hexaflexagon template. I operate this template amongst my students.
I emphasize to my students that the ameliorate your creases are, the ameliorate your hexaflexagon volition be. If a educatee gets done double creasing all of the folds earlier everyone else inwards the class, I convey them larn dorsum together with crease them again.
Once everyone is creased together with cutting together with cook to go, I demonstrate folding the hexaflexagon amongst my giant example. Here are only about folding instructions. I explicate how to flexure it to students without whatever of the letters, but I'd advise using the letters the showtime fourth dimension you lot flexure i together with and thus finding a agency to explicate that makes feel to your students.
After they are folded together with glued, I demo another Vi Hart video that has lots of super cool designs.
Seeing their faces, total of excitement, after they got their hexaflexagons to successfully flex was something I needed to encounter equally a teacher. I saw amazement together with wonder on the faces of students who oft exclusively direct to be inwards my classroom. It is a reminder that it is possible to achieve every student, to engage every student. That's non happening inwards my shape at the moment. So, I jurist the inquiry is - how tin compass the sack I brand algebra equally intriguing equally a hexaflexagon. #stillponderingthis
Some students finished early on together with were eager to crusade their manus at a hexahexaflexagon, too.
I was also amazed past times the release of students from previous years who even thus had their former hexaflexagon!
I presented on hexaflexagons at TMC14, together with I made a giant hexaflexagon for that presentation. So, that had to come upwardly out!
I used clear packing record to connect the carte du jour stock triangles, thus I unfortunately couldn't color the entire thing. :(
Here's me together with my giant hexaflexagon. The equilateral triangles convey a side length of 8.5 inches.
Since this is already glued together, I decided to brand only about other demonstration hexaflexagon. I printed 2 equilateral triangles (7.5 inch sides) to a canvass of carte du jour stock together with taped them together. This is only slightly smaller than my assembled one. (Download file for these triangles to brand your ain here.)
Cut out:
Assembled:
Finished Product:
This helped a lot amongst showing students how to flexure the hexaflexagon.
I began shape amongst a video of Martin Gardner demonstrating a hexaflexagon. It's a 2 infinitesimal excerpt I constitute on youtube from David Suzuki's 1996 "The Nature of Things" program.
Next, I showed them Vi Hart's introduction to hexaflexagons video.
After watching this video together with commenting virtually her dissimilar colored sleeves together with how super fast she talks, nosotros in conclusion laid to cutting out together with creasing our hexaflexagon template. I operate this template amongst my students.
I emphasize to my students that the ameliorate your creases are, the ameliorate your hexaflexagon volition be. If a educatee gets done double creasing all of the folds earlier everyone else inwards the class, I convey them larn dorsum together with crease them again.
Once everyone is creased together with cutting together with cook to go, I demonstrate folding the hexaflexagon amongst my giant example. Here are only about folding instructions. I explicate how to flexure it to students without whatever of the letters, but I'd advise using the letters the showtime fourth dimension you lot flexure i together with and thus finding a agency to explicate that makes feel to your students.
After they are folded together with glued, I demo another Vi Hart video that has lots of super cool designs.
Vi Hart genuinely has only about other video, but my students convey ever seemed to prefer the showtime together with the tertiary video. The 2d i gets a fleck technical for them, peculiarly since at this betoken they haven't fifty-fifty flexed a hexaflexagon!
Here are only about of their creations.
H5N1 hexaflexagon bag square.
Seeing their faces, total of excitement, after they got their hexaflexagons to successfully flex was something I needed to encounter equally a teacher. I saw amazement together with wonder on the faces of students who oft exclusively direct to be inwards my classroom. It is a reminder that it is possible to achieve every student, to engage every student. That's non happening inwards my shape at the moment. So, I jurist the inquiry is - how tin compass the sack I brand algebra equally intriguing equally a hexaflexagon. #stillponderingthis
Some students finished early on together with were eager to crusade their manus at a hexahexaflexagon, too.
I was also amazed past times the release of students from previous years who even thus had their former hexaflexagon!
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