Students Investigate 3D Geometry
Sophomore students at Clemente are exploring three-dimensional geometry this month through hands-on learning and real-life examples. Earlier, students investigated the volume and surface area of three-dimensional shapes, like cubes and cylinders. Students constructed and deconstructed shapes to determine the total area as well as how many cubic centimeters these shapes could hold. Working together, students connected their knowledge of two-dimensional geometry with their investigations in order to derive formulas for both surface area and volume.
Students had the opportunity to extend their understanding of area and volume with a real-world application that had them measuring and constructing models of the White House. First, students measured the length and height of different parts of their model White House and used these measurements to calculate the area. Students then used ratios to determine the actual measurements and area of the real White House. Students used a net (a 2-dimensional pattern) to construct three-dimensional scale White House models. In addition to exploring the math around the White House, students also learned more about the history of the presidential residence and its significance.
In the coming weeks, students will be simulating a 3D printer by exploring how cross-sections of shapes can be used to construct a three-dimensional object. Students will have the opportunity to dissect clay figures to determine what shapes result from dissection. Once students understand the two-dimensional shapes that make up their three-dimensional counterparts, they will work on making their own shapes. To better understand why three-dimensional geometry is important in the real world, students will explore how the medical field uses cross sections.