In this activity, students gradually fill bottles of different shapes and graph the water level (height) versus the volume of water inside the bottles. Then they explore the relationship between the shape of a bottle and the resulting graph.
Emiliano GÓMez, emgomez@math.berkeley.edu, and Risa A. Wolfson, rwolfson@berkeley.edu, are colleagues at the Center for Mathematics Excellence and Equity (CeMEE) at the University of California, Berkeley. They are interested in the professional development of mathematics teachers and in equity issues concerning mathematics education.