spikeyballs   spikeball1

$ Store Activity Name:   Spiky Ball Spikes
Concepts / Skills addressed:   counting, graphing, circumference, diameter,
Approximate Grade Range:   6th - 8th ?
Materials:   Spiky massage balls, ruler
The General Idea:   There is a relationship between the radius and circumference of a circle (C=2*pi*R).  There are many traditional investigations into this relationship.  Here we have an investigation that gets at the same relationship but that is not quite so traditional. 
The ball is divided into two halves and you can see a line that runs all the way around the ball, like the equator of the earth.  If that line is the equator then look where the north (or the south) pole would be.  There is a blank spot there, presumably where the ball was inflated.  All of the spikes on the ball can be seen as making concentric rows around this pole.  There are 6 rows in each hemisphere of the balls I found.  Each row, because it is further down toward the equator, (at a different latitude?) has a different number of spikes.  How is the number of spikes related to its row number?  This is one of many questions that can be investigated with this simple object. 
Extensions: 
You could do the same sort of an investigation with a basketball, a soccer ball, a baseball, etc.  It gets a little different with a football....
Links:  
Author:
Mark Roddy

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