Super Stairs
by Dan Meyer
skips
questions
Act One

December 02, 2013
How many steps will he run on the super stairs? How long will it take him to run them?
 Teacher noteHave students write down a guess and share it with their neighbors. Then take a poll. Find the highest guess in the room. Find the lowest guess in the room.
Act Two
 1.
What information would you need here?
 Teacher noteThe language is here is really important. Students may use "steps" and "stairs" interchangeably. To keep things from getting out of control, my class decided "stairs" were physical and concrete while "steps" were the actions the person took.
 Teacher noteWrite everything down that they want. When they ask how stairs there are, ask them to write down and share a guess. Then tell them there are 21 stairs.
When it comes to questions of speed or rate or times, tell them to pull out a watch or a cellphone timer and then play the act one video back for them as many times as they want.
Some will want to time the "turn arounds." Some will get different rates for going up the stairs and down the stairs. Some will time the regular stairs. Some will time the super stairs.
Feel free to say to them at some point, "We will all have different answers and we will all be wrong. That's the nature of modeling. We're making assumptions. The question is whose assumptions were best."  Teacher noteHave struggling students create a table and track "stairs" and "steps on that trip" and "total steps after those trips." Their goal will be to find a number rule that turns "stairs" into "total steps. It's (stairs)*(stairs+1).
There are 21 stairs.
Act Three
 VideoAnswer
Sequel
 2.
If someone wanted to run 1,000,000 steps, what kind of super staircase would that require?
 ImageStudent Work #1
 3.
The above student found the answer to the original question a different way. Is she right? Why or why not?
show 81 more questions











How many steps will actually be ran using the Super Stairs method compared to normal Stairs method?




How many stairs will he walk on the super stairs compared to the number of stairs he walked on the stair?















How many more stairs did Dan do on "super stairs" than "stairs"? How many more calories did he burn?

How long will it take to finish the super stairs? How will doing this longer affect his rate?





















What kind of function models the relationship between number of stairs and time to run the super stairs?







How much longer will it take to go up the super stairs then the regular stairs

how many stairs will he end up running? How does it compare to the once? How many times would he have to do the stairs to compare super stai









Do you get more tired at the top? How does that change the rate?












How many more stairs are in the super stairs run than the stairs run?
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