{Geo B} {Geo Essentials} Snow Day Extra Credit

On this surprise (for me) snowday here's a little challenge.

Imagine that the snow never stops falling.  Either by using your own estimation, or a weather report, find the rate of snow fall at the worst part of today.  When you turn in your work, either cite your source or explain your logic.

Then imagine that you are going to take refuge on your roof from the ever rising tide of snow (remember it never stops falling).  How long will you have before the snow is so deep all around you that even when reaching your hand straight up, it doesn't reach out of the snow.  Assume, to keep the math easy, that the snow gathering on your roof slides down to match the snow building on the ground around your house so that when it does finally stop there aren't little mounds at each house, just a big open expanse of snow.

Otherwise enjoy the extra day of vacation!

{Geo B} / {Geo Ess} Extra Credit

In honor of our snow day today here is a chance to not miss out on this opportunity to flex the mathematical brain:

Objective:  How many snow men worth of snow is in your yard?

Assumption:
A typical snowman is made up of 3 spheres.  The radii of the spheres are 4, 2, and 1 foot respectively.

Question 1:  How many cubic feet of snow make up a typical snowman?

Question 2:  How deep is the snow in your yard?

To answer this, take at least 4 measurements and average them.

Question 3:  What is the area of your yard?

To answer this, include how you measured the dimensions. 

Question 4:  What is the volume of the snow in your yard?

Question 5:  How many snowmen is that?

Have fun playing in the snow folks!

{Geo B} Extra Credit?!?

Since I said I would do this sometime, why not do it now?


If your student brings to class on Friday 1/29 (2nd hour) or Tuesday 2/2 (7th hour) a heirarchy of something interesting to them, they can recieve extra credit in the homework category. This extracredit cannot, however, take them above 100% in that category.

Examples:
Top level: Movies

Next level: Action, Romantic Comedy, Horror

Under Action: Kung Fu, Guns and More, Cars and Planes

Under RomCom: Chick-Flick, Guys Only, Couples Comedy, Anything with Vince Vauhn

Under Horror: Psychological Horror, Gore, Just Plain Scary


To get Extra Credit, students must have:

* 3 levels minimum

* illustrated the hierarchy in a Tree Diagram (like we did for most of class on Wed) or in a Venn Diagram (which we also reviewed).

Have fun!