Donald D.

asked • 04/21/16

Labeling x and y axes for 4th graders.

This may be a pedantic question but it was really bothering me during the lesson I taught 4th graders today. We are introducing them to the coordinate plane and locating shapes at given ordered pairs. The question/issue I have is that many of the example materials were labeling the graph lines on the axes by only labeling every OTHER line with whole numbers. Secondly they sometimes labeled the lines as 1/2, 1 1/2, etc (while still skipping lines so there were unwritten quarters). Outside of radians, I do not recall ever seeing an axis labeled with anything other than whole numbers, is this acceptable to do? Also is it acceptable to skip lines? It makes no sense for a child looking for a point or shape at (1,2) has to count over 2 and up 4 to get there. Maybe I'm being overly sensitive but I always remember whole numbers 0-N being the only thing written on the graph lines. If a coordinate called for (1.5,2) that just meant the point was halfway between 1 and 2 in the x direction..... Input math experts??

1 Expert Answer

By:

Donald D.

Thanks for the prompt reply!  I can and have made my own.  I am referring to materials being provided through some of the new Common Core materials for New York State so I know that are widely spread.  I was under the impression that each line on a grid represented one whole something.  Be that a letter, number, or "blob".  I believe I was taught that you just adjust your scale accordingly.  We never skipped labeling lines on the axis, unless we were also skipping numbers (2,4,6,8,etc).  While conceptually I understand that a fraction like 1/4 can be represented by a box on graph paper, I feel like it completely defeats the entire purpose of graphing the object as on of the main reasons for graphing is to give an accurate representation to the viewer (again I refer to my example of a child having to count over 2 boxes and up 4 in order to find a point (1,2) on the following set of axes...)  To me that is akin to telling a child that instead of something being 0 it is 1+-1.  Of course it is true, but no one would label the origin the later.  I'm still perplexed with this one!
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04/21/16

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