Below is student work from the most recent time the Math Forum featured the “Filling Glasses” PoW. As PoW Planet teachers have their students submit to “Filling Glasses” they may choose to share some of that work with the world. We’ll link to it here. In the mean time, tell us what you notice and wonder about Max and Taylor’s work below.

Taylor, age 13

The answer to the problem is that graph 1 belongs to glass A, graph 4 belongs to glass B, and graph 3 belongs to glass C. We found this out by looking at the graphs and the glasses and seeing the pattern between the two. We did this by comparing the shape of the glass and the line in the graph. That is how we figured it out.
The answer to the problem is that graph 1 belongs to glass A, graph 4belongs to glass B, and graph 3 belongs to glass C. We found this out by looking at the graphs and the glasses and seeing the pattern between the two. We did this by comparing the shape ofthe glass and the line in the graph. That is how we figured it out.

Max, age 13

The solution is that glass A goes with graph 1, glass B goes with graph 4, and glass C goes with graph 2.

Glass A goes with graph 1 because it is narrow, then wide, then narrow.  Glass B goes with graph 4 because it is narrow then wide.  Glass C goes with graph 2 because it is wide, then narrow, then wide.