Students learn about Pascal's law, an important concept behind the engineering of …
Students learn about Pascal's law, an important concept behind the engineering of dam and lock systems, such as the one that Thirsty County wants Splash Engineering to design for the Birdseye River (an ongoing hypothetical engineering scenario). Students observe the behavior of water in plastic water bottles spilling through holes punctured at different heights, seeing the distance water spurts from the holes, learning how water at a given depth exerts equal pressure in all directions, and how water at increasing depths is under increasing pressure.
Students learn the value of writing and art in science and engineering. …
Students learn the value of writing and art in science and engineering. They acquire vocabulary that is appropriate for explaining visual art and learn about visual design principles (contrast, alignment, repetition and proximity) and elements (lines, color, texture, shape, size, value and space) that are helpful when making visual aids. A PowerPoint(TM) presentation heightens students' awareness of the connection between art and engineering in order to improve the presentation of results, findings, concepts, information and prototype designs. Students also learn about the science and engineering research funding process that relies on effective proposal presentations, as well as some thermal conductivity / heat flow basics including the real-world example of a heat sink which prepares them for the associated activity in which they focus on creating diagrams to communicate their own collected experimental data.
An interactive applet and associated web page that demonstrate the volume of …
An interactive applet and associated web page that demonstrate the volume of a cube. A cube is shown where the edge length be changed by dragging. The volume is continuously recalculated as you drag, and a unit cube grid is superimposed on the cube to illustrate the volume graphically. The calculations can be turned off for class discussion. The web page has the formula for the volume calculation, and a discussion about the subtle distinction between the volume of a cube and the volume inside the cube. The web page also has links to other pages defining the various properties of an ellipse and to some ellipse constructions. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
An interactive applet and associated web page that demonstrate the volume of …
An interactive applet and associated web page that demonstrate the volume of a cylinder. A cylinder is shown where the height and radius can both be changed by dragging. The volume is continuously recalculated as you drag. The calculations can be turned off for class discussion. The web page has the formula for the volume calculation, and a discussion about the subtle distinction between the volume of a cylinder and the volume inside the cylinder. The web page also has links to other pages defining the various properties of an ellipse and to some ellipse constructions. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
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.
What's MATTER? In this episode of Crash Course Kids, Sabrina talks about …
What's MATTER? In this episode of Crash Course Kids, Sabrina talks about what matter is and the three states of matter: Solid, Liquid, and Gas. She also does a quick experiment that you can do at home to prove that air is matter.
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