Week 6 - Activity Reflection

 I chose to focus on Math Hello's!

I started by following along in Karl Schaffer's video. This brought back memories from when I was a kid, I remember doing this "flipping your hand without turning your elbow" activity. I decided to explore this a little further. Do we have to use 90 degreed? What happens when we cut that angle in half, and move only in 45 degree angles, still in the x-y-z planes?  

https://www.youtube.com/watch?v=c1AqopgzlSU

In 90: Takes 6 x 90 degree movements to flip the hand

In ~45: Takes 12 (if i can count) to flip the hand. you end up on a diagonal a few times. My video will not load. But I challenge you to try this and also count. PS: It takes way more brain power than I thought, and actually, doesn't fall directly on the x-y-s axis but instead ends up in spaces in between. I kept sill 3 movements per round. 

Round 1: palm starts by facing me, parallel to my face (movement 0), ends on a diagonal, I can still see my palm (movement 3)

Round 2: Starts at the diagonal (movement 3), ends with hand perpendicular to my face (movement 6)

Round 3: Starts perpendicular to my face (movement 6), ends on a diagonal to me, palm facing away (movement 9)

Round you, Starts on diagonal, palm away (movement 9), ends with palm facing away from me, parallel to my face (movement 12)

I really enjoyed moving in the x-y-z space, with simple-ish movement. This was a great way to explore a 3-D space, mathematically. As well as using mathematical language like parallel, perpendicular, and diagonal to help explain my movements. 

I think this activity could be used to explore many other angles, as long as they are easy to visualize, such  as 30, 120, 180. 

As mentioned, this could be a fun activity to help introduce and understand a 3-axis graph, as well as how to translate lines/functions in this spaces. Your palm can act as a plane, to show how planes can rotate in this space. 

Do you have any other possible extensions?