How long is a coastline — and would two people ever measure the same number?
Show of hands — before you project anything
Predict first: you measure a wiggly coast, then measure again with a much shorter ruler. Do you think the total gets shorter, stays the same, or grows? Why?
A Way more than you'd guess
B About what you'd guess
C Way less than you'd guess
Count the votes out loud. Hold them to it — then watch.
Predict first: you measure a wiggly coast, then measure again with a much shorter ruler. Do you think the total gets shorter, stays the same, or grows? Why?
Predict first: does a perfectly round lake's length keep growing the same way a coast does as you measure finer? What's different about the two shapes?
If there's no single true length, how should a textbook or atlas decide what number to print for a country's coastline?
Where it shows up in real life
Atlases listing very different coastline lengths for the same country because they used different map scales
Tracing a wiggly border or river on a map and arguing about how 'long' it really is
Zooming into a coastline on a phone map app and watching new little bays appear that weren't visible before
How long is a coastline — and would two people ever measure the same number?
Predict — what do you think will happen, and why?
Draw what you saw
Talk about it
Predict first: you measure a wiggly coast, then measure again with a much shorter ruler. Do you think the total gets shorter, stays the same, or grows? Why?
Predict first: does a perfectly round lake's length keep growing the same way a coast does as you measure finer? What's different about the two shapes?
If there's no single true length, how should a textbook or atlas decide what number to print for a country's coastline?