Who knew a simple strip of paper could turn into a mathematical mystery? My 3rd-grade gifted learners recently dove into the world of Möbius strips, and the "aha!" moments were incredible.
After a 180-degree twist and some tape, they turned a two-sided piece of paper into a one-sided loop. They traced lines without lifting their pencils, cut them in half to find unexpected results, and realized that math is truly magical.
- Key Learning: Topology (exploring shapes that change)
- Reaction: Total amazement!
What we did:
1. We took a strip of paper and connected it to make a circle. We hypothesized what would happen if we cut the circle in half....2 circles of course! And they were right! (That's the example to the left).
2. Then, we took a strip of paper, turn one end 180 degrees, and taped the ends together to make a complete loop...aka a Mobius strip. We hypothesized what would happen if we cut this loop in half...we had many more guesses this time! One student guess we would end up with 2 of the same kind of loops. Another student guessed we would have a regular circle again. The result was one much bigger Mobius strip! (That's the example in the middle).
3. Finally, we took the same loop we made in #2, except, this time we cut it into thirds! We hypothesized yet again....now their brains were really thinking deep! You could see the excitement building! They knew something was going to happen but weren't sure of what the final result would be.
....The final result was TWO loops (Mobius strips) that were interconnected!! One small mobius strip and one large mobius strip...somehow separate shapes, but also connected...and all while making one single cut! Talk about magic! I hope they can recreate what they learned today :)