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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
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.

نوع المادة:
Lecture
Provider:
MIT
Provider Set:
أزهار معهد ماساتشوستس للتكنولوجيا MIT
المؤلف:
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.

Material Type:
Lecture
Provider:
MIT Learning International Networks Consortium
Provider Set:
M.I.T. Blossoms
Author:
Stephen M. Hou
Date Added:
06/02/2012
Forces and Motion (AR)
Unrestricted Use
CC BY
Rating

Explore the forces at work when you try to push a filing cabinet. Create an applied force and see the resulting friction force and total force acting on the cabinet. Charts show the forces, position, velocity, and acceleration vs. time. View a Free Body Diagram of all the forces (including gravitational and normal forces).

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Kathy Perkins
Noah Podolefsky
Patricia Loblein
Sam Reid
Date Added:
10/01/2010
Gravity and Orbits (AR)
Unrestricted Use
CC BY
Rating

Move the sun, earth, moon and space station to see how it affects their gravitational forces and orbital paths. Visualize the sizes and distances between different heavenly bodies, and turn off gravity to see what would happen without it!

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Chris Malley
Emily Moore
John Blanco
Jon Olson
Kathy Perkins
Noah Podolefsky
Patricia Loblein
Sam Reid
Date Added:
02/07/2011
Maze Game
Unrestricted Use
CC BY
Rating

Learn about position, velocity, and acceleration in the "Arena of Pain". Use the green arrow to move the ball. Add more walls to the arena to make the game more difficult. Try to make a goal as fast as you can.

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Michael Dubson
Mindy Gratny
Sam Reid
Wendy Adams
Date Added:
10/30/2006
Motion in 2D (AR)
Unrestricted Use
CC BY
Rating

Try the new "Ladybug Motion 2D" simulation for the latest updated version. Learn about position, velocity, and acceleration vectors. Move the ball with the mouse or let the simulation move the ball in four types of motion (2 types of linear, simple harmonic, circle).

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Michael Dubson
Sam Reid
Date Added:
07/02/2009
Moving Man
Unrestricted Use
CC BY
Rating

Learn about position, velocity, and acceleration graphs. Move the little man back and forth with the mouse and plot his motion. Set the position, velocity, or acceleration and let the simulation move the man for you.

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Danielle Harlow
Kathy Perkins
Sam Reid
Wendy Adams
Date Added:
10/04/2005
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.

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
My Solar System (AR)
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.

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Danielle Harlow
Michael Dubson
Mindy Gratny
Date Added:
01/02/2011
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.

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