Monthly Archives: August 2011

The Wave Data Collection

In this project I have students first guess how many seconds it will take for 31 students to complete one wave.  The only rule I make is that the next person cannot stand up until the person before them sits down.  Once students make a guess I give them sticky notes and have them place their guesses on the board where I place a zero on the left side of the board and 150 on the right side of the board.  Good review of estimation.  Then we do the experiment.

Orienteering Find My Location in Western Nebraska

Here is part of a Western Nebraska Sectional Chart with Three Landmarks Located.

In this video I traveled out to western Nebraska to loose myself.  Use the sectional map, Geogebra, and a little trigonometry to find my location in the video below.  Click on the map and you can download and print a larger image.

The three landmarks I have chosen for this orienteering video are Scottsbluff, Chimney Rock, and Jailhouse Rock monuments.

A math problem dealing with center pivots and water usage.

Notice the small pivot and pivot that rotates less than 360 Degrees

There are some great mathematics problems in agriculture.   I will be constructing problems throughout the year and placing them on this site.  A center pivot is a device used to water crops.  The pivot itself is the radius of a circle.  They come in many sizes.   The image from Google Earth shows several center pivots west of our small community.  This image is ripe for exploration.  What kind of questions could we ask here?  How many acres per field?  How many acres are in the “white ring” located in about the center of the image.  How many acres are left outside the circle yet inside the square field?

In the problem below I filmed a pivot at its top speed.  I am standing on the outside set of wheels for the pivot.   The video at the bottom of this post is not the most exciting video footage ever shot, but it makes a great math problem, and asks a relevant question.  How many passes will the pivot have to make to use up all 13 acre-inches of water?  But there are a number of questions that could be asked here.  Knowing the speed of the outside set of wheels, how fast would any of the inside wheels be traveling? How much fuel will we have to buy to pump this much water? How much fuel would we have to buy to pump 1 acre-inch of water on the entire field?  What does that make 1 inch of rain worth?   How many swimming pools would it fill?  There are hundreds of ways to take this problem.  So here is the problem and I hope that it is useful.  It is 17MB so it takes some time to load.  Also I have to place all videos in Quicktime (MP4), so downloading it may be a problem for some although you could down load it and convert it to another format to run in a windows machine or just put Quicktime player on your machine.