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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.

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.

Material Type:
Lecture
Provider:
MIT Learning International Networks Consortium
Provider Set:
M.I.T. Blossoms
Author:
Stephen M. Hou
Date Added:
06/02/2012
"Baseketball"
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

This trick from Exploratorium physicist Paul Doherty lets you add together the bounces of two balls and send one ball flying. When we tried this trick on the Exploratorium's exhibit floor, we gathered a crowd of visitors who wanted to know what we were doing. We explained that we were engaged in serious scientific experimentation related to energy transfer. Some of them may have believed us. If you'd like to go into the physical calculations of this phenomenam, see the related resource "Bouncing Balls" - it's the same activity but with the math explained.

Material Type:
Activity/Lab
Provider:
Exploratorium
Author:
Paul Doherty
The Exploratorium
Date Added:
11/07/2012
Battery-Resistor Circuit
Unrestricted Use
CC BY
Rating

Look inside a resistor to see how it works. Increase the battery voltage to make more electrons flow though the resistor. Increase the resistance to block the flow of electrons. Watch the current and resistor temperature change.

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Sam Reid
Date Added:
11/20/2008
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.

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:
10/01/2010
Circuit Construction Kit (AC+DC)
Unrestricted Use
CC BY
Rating

This new version of the CCK adds capacitors, inductors and AC voltage sources to your toolbox! Now you can graph the current and voltage as a function of time.

نوع المادة:
محاكاة
Provider:
University of Colorado Boulder
Provider Set:
المحاكاة التفاعلية لموقع PhET
المؤلف:
Carl Wieman
Kathy Perkins
Michael Dubson
Sam Reid
Date Added:
07/12/2008
Circuit Construction Kit (AC+DC), Virtual Lab
Unrestricted Use
CC BY
Rating

Build circuits with capacitors, inductors, resistors and AC or DC voltage sources, and inspect them using lab instruments such as voltmeters and ammeters.

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Kathy Perkins
Michael Dubson
Sam Reid
Date Added:
07/01/2006
Circuit Construction Kit (DC Only)
Unrestricted Use
CC BY
Rating

An electronics kit in your computer! Build circuits with resistors, light bulbs, batteries, and switches. Take measurements with the realistic ammeter and voltmeter. View the circuit as a schematic diagram, or switch to a life-like view.

نوع المادة:
محاكاة
Provider:
University of Colorado Boulder
Provider Set:
المحاكاة التفاعلية لموقع PhET
المؤلف:
Carl Wieman
Kathy Perkins
Michael Dubson
Sam Reid
Wendy Adams
Date Added:
06/15/2005
Circuit Construction Kit (DC Only), Virtual Lab
Unrestricted Use
CC BY
Rating

Build circuits with resistors, light bulbs, batteries, and switches and take measurements with laboratory equipment like the realistic ammeter and voltmeter.

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Kathy Perkins
Michael Dubson
Sam Reid
Wendy Adams
Date Added:
07/01/2004
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?

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
Double Wells and Covalent Bonds
Unrestricted Use
CC BY
Rating

Explore tunneling splitting in double well potentials. This classic problem describes many physical systems, including covalent bonds, Josephson junctions, and two-state systems such as spin 1/2 particles and ammonia molecules.

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Chris Malley
Kathy Perkins
Sam McKagan
Date Added:
10/04/2006
Eating & Exercise
Unrestricted Use
CC BY
Rating

How many calories are in your favorite foods? How much exercise would you have to do to burn off these calories? What is the relationship between calories and weight? Explore these issues by choosing diet and exercise and keeping an eye on your weight.

نوع المادة:
Activity/Lab
تفاعلية
محاكاة
Provider:
University of Colorado Boulder
Provider Set:
المحاكاة التفاعلية لموقع PhET
المؤلف:
Franny Benay
Kate Semsar
Kathy Perkins
Noah
Noah Podolefsky
Sam Reid
Wendy Adams
Date Added:
10/01/2008
Electric Field Hockey (AR)
Unrestricted Use
CC BY
Rating

Play hockey with electric charges. Place charges on the ice, then hit start to try to get the puck in the goal. View the electric field. Trace the puck's motion. Make the game harder by placing walls in front of the goal. This is a clone of the popular simulation of the same name marketed by Physics Academic Software and written by Prof. Ruth Chabay of the Dept of Physics at North Carolina State University.

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Danielle Harlow
Michael Dubson
Sam Reid
Wendy Adams
Date Added:
07/02/2008
Energy Skate Park (AR)
Unrestricted Use
CC BY
Rating

Learn about conservation of energy with a skater dude! Build tracks, ramps and jumps for the skater and view the kinetic energy, potential energy and friction as he moves. You can also take the skater to different planets or even space!

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Danielle Harlow
Kathy Perkins
Michael Dubson
Patricia Loblein
Sam Reid
Wendy Adams
Date Added:
07/02/2008