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In this lesson, students visualize solids of rotation created from rotating two-dimensional figures, around an axis of rotation. They will interact with figures by using either physical objects or an applet. Students move both from a two-dimensional figure to a solid and vice versa to see the connection between the figures and the solids.
As students describe characteristics of solids, they have the opportunity to use language precisely (MP6). When students visualize the relationship between two- and three-dimensional objects, they are thinking abstractly (MP2).
If using the paper and pencil version of this activity, cut out a set of shapes, like those in the Launch, from card stock for each group of 3–4, students with enough for at least 1 shape per student. Shapes can include rectangles, semicircles, and various kinds of triangles.
If desired, find some honeycomb paper decorations to display to help students visualize solids of rotation.
For the digital version of the activity, acquire devices that can run the applet.