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The Art of Approximation in Science and Engineering: How to Whip Out Answers Quickly
Conditional Remix & Share Permitted
CC BY-NC-SA
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The purpose of this learning video is to show students how to think more freely about math and science problems. Sometimes getting an approximate answer in a much shorter period of time is well worth the time saved. This video explores techniques for making quick, back-of-the-envelope approximations that are not only surprisingly accurate, but are also illuminating for building intuition in understanding science. This video touches upon 10th-grade level Algebra I and first-year high school physics, but the concepts covered (velocity, distance, mass, etc) are basic enough that science-oriented younger students would understand. If desired, teachers may bring in pendula of various lengths, weights to hang, and a stopwatch to measure period. Examples of in- class exercises for between the video segments include: asking students to estimate 29 x 31 without a calculator or paper and pencil; and asking students how close they can get to a black hole without getting sucked in.

Subject:
Engineering
Algebra
Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Stephen M. Hou
Date Added:
06/02/2015
The Art of Approximation in Science and Engineering: How to Whip Out Answers Quickly
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

The purpose of this learning video is to show students how to think more freely about math and science problems. Sometimes getting an approximate answer in a much shorter period of time is well worth the time saved. This video explores techniques for making quick, back-of-the-envelope approximations that are not only surprisingly accurate, but are also illuminating for building intuition in understanding science. This video touches upon 10th-grade level Algebra I and first-year high school physics, but the concepts covered (velocity, distance, mass, etc) are basic enough that science-oriented younger students would understand. If desired, teachers may bring in pendula of various lengths, weights to hang, and a stopwatch to measure period. Examples of in- class exercises for between the video segments include: asking students to estimate 29 x 31 without a calculator or paper and pencil; and asking students how close they can get to a black hole without getting sucked in.

Subject:
Engineering
Algebra
Numbers and Operations
Physics
Material Type:
Lecture
Provider:
MIT Learning International Networks Consortium
Provider Set:
M.I.T. Blossoms
Author:
Stephen M. Hou
Date Added:
06/02/2012
Buoyancy (AR)
Unrestricted Use
CC BY
Rating

When will objects float and when will they sink? Learn how buoyancy works with blocks. Arrows show the applied forces, and you can modify the properties of the blocks and the fluid.

الموضوع:
الفيزياء
نوع المادة:
محاكاة
Provider:
University of Colorado Boulder
Provider Set:
المحاكاة التفاعلية لموقع PhET
المؤلف:
Archie Paulson
Carl Wieman
Chris Malley
Jonathan Olson
Kathy Perkins
Kelly Lancaster
Noah Podolefsky
Patricia Loblein
Sam Reid
Wendy Adams
Date Added:
10/01/2010
Density (AR)
Unrestricted Use
CC BY
Rating

Why do objects like wood float in water? Does it depend on size? Create a custom object to explore the effects of mass and volume on density. Can you discover the relationship? Use the scale to measure the mass of an object, then hold the object under water to measure its volume. Can you identify all the mystery objects?

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Archie Paulson
Carl Wieman
Chris Malley
Jonathan Olson
Kathy Perkins
Kelly Lancaster
Noah Podolefsky
Patricia Loblein
Sam Reid
Wendy Adams
Date Added:
09/01/2010
General Chemistry I
Unrestricted Use
CC BY
Rating

This survey chemistry course is designed to introduce students to the world of chemistry. In this course, we will study chemistry from the ground up, learning the basics of the atom and its behavior. We will apply this knowledge to understand the chemical properties of matter and the changes and reactions that take place in all types of matter. Upon successful completion of this course, students will be able to: Define the general term 'chemistry.' Distinguish between the physical and chemical properties of matter. Distinguish between mixtures and pure substances. Describe the arrangement of the periodic table. Perform mathematical operations involving significant figures. Convert measurements into scientific notation. Explain the law of conservation of mass, the law of definite composition, and the law of multiple proportions. Summarize the essential points of Dalton's atomic theory. Define the term 'atom.' Describe electron configurations. Draw Lewis structures for molecules. Name ionic and covalent compounds using the rules for nomenclature of inorganic compounds. Explain the relationship between enthalpy change and a reaction's tendency to occur. (Chemistry 101; See also: Biology 105. Mechanical Engineering 004)

Subject:
Chemistry
Material Type:
Assessment
Full Course
Homework/Assignment
Lecture
Lecture Notes
Reading
Syllabus
Textbook
Provider:
The Saylor Foundation
Date Added:
11/16/2011
Gravity Force Lab (AR)
Unrestricted Use
CC BY
Rating

Visualize the gravitational force that two objects exert on each other. Change properties of the objects in order to see how it changes the gravity force.

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Noah Podolefsky
Patricia Loblein
Sam Reid
Date Added:
02/02/2013
How Many Cells are in the Human Body?
Unrestricted Use
CC BY
Rating

The purpose of this task is for students to apply the concepts of mass, volume, and density in a real-world context. There are several ways one might approach the problem, e.g., by estimating the volume of a person and dividing by the volume of a cell.

Subject:
Mathematics
Geometry
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
11/13/2012
Lunar Lander
Unrestricted Use
CC BY
Rating

Can you avoid the boulder field and land safely, just before your fuel runs out, as Neil Armstrong did in 1969? Our version of this classic video game accurately simulates the real motion of the lunar lander with the correct mass, thrust, fuel consumption rate, and lunar gravity. The real lunar lander is very hard to control.

Subject:
Astronomy
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Michael Dubson
Date Added:
01/26/2007
Lunar Lander (AR)
Unrestricted Use
CC BY
Rating

Can you avoid the boulder field and land safely, just before your fuel runs out, as Neil Armstrong did in 1969? Our version of this classic video game accurately simulates the real motion of the lunar lander with the correct mass, thrust, fuel consumption rate, and lunar gravity. The real lunar lander is very hard to control.

Subject:
Astronomy
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Michael Dubson
Date Added:
06/02/2010
Masses & Springs (AR)
Unrestricted Use
CC BY
Rating

A realistic mass and spring laboratory. Hang masses from springs and adjust the spring stiffness and damping. You can even slow time. Transport the lab to different planets. A chart shows the kinetic, potential, and thermal energy for each spring.

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Kathy Perkins
Michael Dubson
Wendy Adams
Date Added:
08/02/2009
My Solar System
Unrestricted Use
CC BY
Rating

Build your own system of heavenly bodies and watch the gravitational ballet. With this orbit simulator, you can set initial positions, velocities, and masses of 2, 3, or 4 bodies, and then see them orbit each other.

Subject:
Astronomy
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Danielle Harlow
Michael Dubson
Mindy Gratny
Date Added:
11/15/2007
Projectile Motion (AR)
Unrestricted Use
CC BY
Rating

Blast a Buick out of a cannon! Learn about projectile motion by firing various objects. Set the angle, initial speed, and mass. Add air resistance. Make a game out of this simulation by trying to hit a target.

Subject:
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Michael Dubson
Wendy Adams
Date Added:
06/02/2008