Shorter Shovels
by Dan Meyer
skips
questions
Act One

January 17, 2012
At the end of a year, how many extra holes will Stanley have dug with the longer shovel?
 1.
What's a number you know is too high?
 2.
What's a number you know is too low?
Act Two
 3.
What information would be useful to know here?
 ImageThe dimensions of the shovels
 Teacher noteStudents should decide for themselves how much shorter XRay's shovel is than Stanley's.
Sequel
 4.
How short would XRay's shovel have to be so that he was doing half of Stanley's work every day?
show 46 more questions


If two people dig for the same amount of time, will the person that digs smaller holes dig less dirt?




How long did it take to dig all of those holes? (first question)How much smaller is the hole? (final question)




How much time would a shovel that's 10% shorter gain you when digging your smaller hole (relatively)?

What is the volume of the hole described in the first few seconds of the video? If the second shovel is 4ft. What percent smaller is the 2nd




How much less dirt would Xray shovel over the course of the year given the holes he digs are smaller?

How much dirt do these fellas move in a day based on the information given?











Why are they digging holes? (but this might not have been my first question if I hadn't seen the movie)


How long does it take to dig a hole of those dimensions?Can he dig 5 of them in a day?













How much longer will it take to dig a hole with his smaller shovel? (Or will it take longer?)

Why do the boys think a smaller shovel means a smaller whole? What error(s) are they making in assuming this is true?

How much dirt would I not have to dig for every inch that my shovel is shorter than the others?


How many digs will the smaller shovel have to do than the larger shovel to get the hole the correct size?
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