This year, I took advantage of our great art studio and superstar Mrs. Silverman, and made myself an art.
|"One art, please!"|
This was the subject of our first model. It's great because:
- The number of dots isn't necessarily knowable (because of the super tiny ones), so we must come up with some sort of predictive and approximate description
- The number of dots isn't necessarily a single number, because there are some streaks there - what counts as a dot?
- The most common approach involves sampling a portion of the area and using proportional reasoning; this is right in their wheelhouse, so we can concentrate on the other demands of creating their first algebraic model
- The uncertainty comes in two distinct varieties: random (from the selection of the sample - can be reduced by sampling more areas or bigger areas) and systematic (I left few dots near the edges of the paper, and the left side has a higher density than the right side)
|We'll need to work on good symbol choice, but fun's a good place to start :)|