Then, switch it up by pointing out this is the same as:
a, b, c, d, …, z, aa, ab, ac, …
Might not be two sets but:
The relationship between ‘long division’ and ‘synthetic division’.
Moves in two different games. This could be hard to set up, but have one of the games be a rubik’s cube. (Might be important to point out that this is a history—not the structure of the two games.)
WASD doesn’t seem to cover all the moves on a cube though.
Intuitive ‘best case scenario’ for snake makes it the same game as tron.
$ to integers. (If you can only split down to a penny, it’s an easy mapping. $ → N: drop the $, and multiply but 100. N → $: divide by 100, and divide by 100.)
Frames from one frame to frames in another movie - (more interesting for how this doesn’t work (two movies might have different frame rates)) - but if they have the exact same number of frames you can make such a mapping. Might be worth emphasizing it seems like no one would do this (if frame rates vary over the course of a movie). But if you have two movies that play at the same rate, and have the same length...you can swap the audios.
Might be better to just take two songs, and swap the music, but keep the music the same (where the meters match).
The comparison between a cylinder and a tower of coins (analogy used in calculus). There’s more surprising mappings that are related.
Intuition for the volume of a sphere, or a pyramid...
‘Double shapes/half shapes’ (like a square in a square)
These might be too obvious or not work.
0, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, …
and itself.
Then, switch it up by pointing out this is the same as:
a, b, c, d, …, z, aa, ab, ac, …
Might not be two sets but:
The relationship between ‘long division’ and ‘synthetic division’.
Moves in two different games. This could be hard to set up, but have one of the games be a rubik’s cube. (Might be important to point out that this is a history—not the structure of the two games.)
WASD doesn’t seem to cover all the moves on a cube though.
Intuitive ‘best case scenario’ for snake makes it the same game as tron.
$ to integers. (If you can only split down to a penny, it’s an easy mapping. $ → N: drop the $, and multiply but 100. N → $: divide by 100, and divide by 100.)
Frames from one frame to frames in another movie - (more interesting for how this doesn’t work (two movies might have different frame rates)) - but if they have the exact same number of frames you can make such a mapping. Might be worth emphasizing it seems like no one would do this (if frame rates vary over the course of a movie). But if you have two movies that play at the same rate, and have the same length...you can swap the audios.
Might be better to just take two songs, and swap the music, but keep the music the same (where the meters match).
The comparison between a cylinder and a tower of coins (analogy used in calculus). There’s more surprising mappings that are related.
Intuition for the volume of a sphere, or a pyramid...
‘Double shapes/half shapes’ (like a square in a square)