This video segment, adapted from ZOOM, explores how sound waves travel differently …
This video segment, adapted from ZOOM, explores how sound waves travel differently through solids than through air, in this case, a metal clothes hanger.
Have you ever wondered how some insects are able to "skate" on …
Have you ever wondered how some insects are able to "skate" on the surface of water? We will learn about how intermolecular forces make this possible. We will also cover liquids, solids, mixtures, and phase changes.
Four unit plans provide opportunities for in-depth explorations of important foundational climate …
Four unit plans provide opportunities for in-depth explorations of important foundational climate concepts -- weather, water as a solid, liquid and gas, and the water cycle -- that are appropriate for K-2 and 3-5 learners. These unit plans incorporate many of the lessons highlighted in other articles in this issue of the online magazine Beyond Weather and the Water Cycle. The magazine is structured around the essential principles of the climate sciences.
Challenged with a hypothetical engineering work situation in which they need to …
Challenged with a hypothetical engineering work situation in which they need to figure out the volume and surface area of a nuclear power plant’s cooling tower (a hyperbolic shape), students learn to calculate the volume of complex solids that can be classified as solids of revolution or solids with known cross sections. These objects of complex shape defy standard procedures to compute volumes. Even calculus techniques depend on the ability to perform multiple measurements of the objects or find functional descriptions of their edges. During both guided and independent practice, students use (free GeoGebra) geometry software, a photograph of the object, a known dimension of it, a spreadsheet application and integral calculus techniques to calculate the volume of complex shape solids within a margin of error of less than 5%—an approach that can be used to compute the volumes of big or small objects. This activity is suitable for the end of the second semester of AP Calculus classes, serving as a major grade for the last six-week period, with students’ project results presentation grades used as the second semester final test.
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