doll feet

$ Store Activity Name:   Shoe Size vs. Height
Concepts / Skills addressed:   measurement, ratios, proportions, graphing
Approximate Grade Range:   4th - 8th ?
Materials:   ruler, tape measure, doll
The General Idea:   There is a rough relationship between a person's shoe size and height.  Use this relationship to check the foot size on dolls sold at the dollar store. 
Talk to students about this relationship. Let them explore it for a while.  If they don't come up with this themselves, direct teams of students gather data about their heights and their shoe sizes (of the lengths of their feet in inches or centimeters).  Get some data from older and younger children and from adults.  If they graph or chart these on a scatter plot they should see that there is a strong positive correlation between these two variables.  Can they use this relationship to determine how long a doll's foot should be, given its height?  (Or vice versa) 
Extensions: 
Similar concepts are addressed in the Soccer Body Ratios Activity
Links:   A related investigation: http://k12science.ati.stevens-tech.edu/time/shoe.html   The tallest man in the world had size ? shoes:  http://www.altonweb.com/history/wadlow/
Author:
Laura Cospito (adapted by Mark Roddy)

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