Choose a paper plate with decorative fluting or scallops around the edge. Many brands have exactly 36 or 72 sections. If this is the case, choose a starting place then pencil in degrees in increments of 5 or 10 until you reach full circle. If not, divide 360 by the number of sections and mark the plate accordingly.
Draw a straight line across the center of the plate, connecting the "0" degrees mark with the "180" degrees mark. Line up the ruler with the "90" degree and "270" degree marks. Mark a vertical line one inch long starting at the center line. The point where these two lines meet is the center of your protractor.
Use the scissors to cut out a half-moon shape above the center line. Ensure the numbers denoting the degrees are left in place. This will produce a viewing window making it easier to measure angles. Your protractor is now ready for use.