Texas A&M University

Spatial Sciences Laboratory

Scale: Test your skill

 

 

Objectives:       (1) to better understand the math behind exponents and powers of 10

                        (2) to have students use the metric system as it relates to the real world

                        (3) to be able to relate mathematical exponents to the real world with remote sensing

 

Materials:         image of Texas A&M University Kyle Stadium page linked here

                        image of Texas A&M University campus page linked here

 

Definitions:        scale- a ratio or proportion between distances measured on the map and the corresponding distances on the ground

                        extent- actual area covered by the image (in the real world)

grain size- actual area covered by one pixel in the image (in the real world)

pixel- short for pixel element, the smallest unit in a grid of cells, typically on a computer screen or digital image.

fine-level of detail is high

coarse- level of detail is low

 

Lesson Plan:     (1) Print out the first image of Texas A&M University Kyle Field. Ask students to first measure the length and width of the image.

 

                        (2) Ask the students to try and find a unit of measurement on the image (ie the football field is in yards, there are 100 yards from end zone to end zone in the real world, so measure this distance on the printed map, for example 1.3 inches on the map = 100 yards in the real world).

 

(3) Have the students define the scale.  Convert the units so that we can cancel them out on each side of the equation (for example, on the right side of the equation 100 yards = 300 feet x 12 inches = 3600 inches.  So, the final equation would be 1.3 inches = 3600 inches, or 1:2769 as the scale ratio.)

 

(4) Next, have them relate that measurement to the size of the printed image’s length and width, and calculate the extent of the image.

 

(5) Ask them to guess what the grain size of the image is, based purely upon a guess (it will be difficult to see the actual grain size, but they can guess based upon how clear small objects appear in the picture).  Reveal to them that each pixel is 1 m in length x 1 m in width, or 1 m2.

 

                       (6) Print out the second picture, the image of the whole campus of Texas A&M University.  Ask the students: which image is finer-grained or fine scale? Which is coarser-grained, or coarse scale?  Discuss the difference.