Once students are able to draw, name, and label the two- and three-dimensional figures, applying common core will be much less tedious. Although students are not asked to identify these figures in most cases, it is hard to find the surface area of a cone or cylinder if you do not know what one looks like. The formula and nets come together a whole lot nicer for students when they have had the opportunity to complete this project.
Relating standard: MCC7.G.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.