They also analyze the relationship between corresponding sides and the areas of the triangles. Then they double all of the dimensions and compare the number of cubes used in the second staircase to the number used in the original staircase. Students work through the Rod Dogs lesson that is described in the First Four Standards of this Framework . They discover that if an object is enlarged by a scale factor, its new surface area is the scale factor squared times the original area, and its new volume is the scale factor cubed times the original volume. Students use cardboard and tape to construct a model that demonstrates that the volume of a pyramid is one-third that of a prism with the same base and height.
Students build scale models of the classroom, the school, or a monument.
References Burns, Marilyn. This Book is About Time . Software The Geometric SuperSupposer . Owens, D. T., Ed. The Framework will be available at this site during Spring 1997.