Friday, August 1, 2014

Math in 3D Printing

I was asked about applications in math for 3D printing during the Technology Summit, and I looked confused.  I looked confused because so much of the process of 3D printing has math embedded in it.
If you ever need to justify doing 3D printing to an administrator or a visiting guest, please feel free to show them a list of the mathematical principles used during 3D printing.

1. Shapes.  The shapes tool has rectangles, circles, and polygons of any size.
2. Measurement.  You have to set the dimensions of any line, shape, or push/pull.
3. Decimals and Fractions. You can input dimensions in whole numbers, decimals, or fractions.
4. Units of Measure.  Are you working in millimeters or inches?
5.Transformations. The rotation and scale tools help you transform your objects.
6. Points and Lines.
7. 3D Shapes.  Spheres, prisms of all polygons, cones, and cylinders.
8. Measuring Tools.  There are virtual tape measures and protractors to use.
9. Coordinate grids.  There is an X, Y, and Z axis. This is a real-world application of coordinate planes.  
10. Radius.  It is important that students understand that a radius is only half the diameter of a circle, so that printed circles will come out twice as large.

I was going to align the ten content areas to Common Core standards, but it is difficult because some concepts come up earlier than others. SO here are links for all the standards in measurement and data and geometry.
CCLS Measurement and Data
CCLS Geometry


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