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The Art of Approximation in Science and Engineering: How to Whip Out Answers Quickly
Conditions of Use:
Remix and Share
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
Conditions of Use:
Remix and Share
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
Battery-Resistor Circuit
Conditions of Use:
No Strings Attached
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
Battleships
Rating

This activity explores the main algorithms that are used as the basis for searching on computers, using different variations on the game of battleships. This activity demonstrates three search methods for finding information in data: linear searching, binary searching and hashing. It also includes an optional introductory activity as well as a video showing a fun demonstration related to the same content.

Material Type:
Activity/Lab
Game
Lesson Plan
Simulation
Provider:
Computer Science Unplugged
Science and Math Informal Learning Educators (SMILE)
Provider Set:
Computer Science Unplugged
SMILE Pathway: Science and Math Activities in One Search
Author:
Brian Mason Scientific and Technical Trust
Computer Science Unplugged
Google Inc.
Ian Witten
Jane McKenzie
Mike Fellows
Robyn Adams
Tim Bell
Date Added:
01/02/2002
Circuit Construction Kit (AC+DC)
Conditions of Use:
No Strings Attached
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.

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Kathy Perkins
Michael Dubson
Sam Reid
Date Added:
07/12/2008
Circuit Construction Kit (AC+DC), Virtual Lab
Conditions of Use:
No Strings Attached
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)
Conditions of Use:
No Strings Attached
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.

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:
06/15/2005
Exploring Size - StretchAbility
Conditions of Use:
Remix and Share
Rating

In this game, learners explore the different sizes of things in the world. In this Twister-like game, learners must place a hand or foot on a circle of the right scale - macro, micro, or nano. This activity is a fun way for learners to investigate the sizes of different objects.

Material Type:
Activity/Lab
Diagram/Illustration
Game
Lesson Plan
Reading
Provider:
Nanoscience Informal Science Education
Science and Math Informal Learning Educators (SMILE)
Provider Set:
NISE Network
SMILE Pathway: Science and Math Activities in One Search
Author:
Nanoscale Informal Science Education Network
National Science Foundation
NISE Network
Sciencenter
Date Added:
01/02/2010
Faraday's Electromagnetic Lab
Conditions of Use:
No Strings Attached
Rating

Play with a bar magnet and coils to learn about Faraday's law. Move a bar magnet near one or two coils to make a light bulb glow. View the magnetic field lines. A meter shows the direction and magnitude of the current. View the magnetic field lines or use a meter to show the direction and magnitude of the current. You can also play with electromagnets, generators and transformers!

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Archie Paulson
Carl Wieman
Chris Malley
Danielle Harlow
Kathy Perkins
Michael Dubson
Date Added:
10/22/2006
Gas Properties
Conditions of Use:
No Strings Attached
Rating

Pump gas molecules to a box and see what happens as you change the volume, add or remove heat, change gravity, and more. Measure the temperature and pressure, and discover how the properties of the gas vary in relation to each other.

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Danielle Harlow
Jack Barbera
Kathy Perkins
Linda Koch
Michael Dubson
Ron LeMaster
Date Added:
10/05/2006
I Spy Nano!
Conditions of Use:
Remix and Share
Rating

In this game, learners try to find nano-related objects on a game board. Learners investigate the different ways nano is in the world around us.

Material Type:
Activity/Lab
Diagram/Illustration
Game
Reading
Provider:
Nanoscience Informal Science Education
Science and Math Informal Learning Educators (SMILE)
Provider Set:
NISE Network
SMILE Pathway: Science and Math Activities in One Search
Author:
Nanoscale Informal Science Education Network
National Science Foundation
NISE Network
Date Added:
01/02/2011
Lasers
Conditions of Use:
No Strings Attached
Rating

Create a laser by pumping the chamber with a photon beam. Manage the energy states of the laser's atoms to control its output.

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Danielle Harlow
Kathy Perkins
Ron LeMaster
Sam McKagan
Date Added:
09/28/2006
Lunar Lander
Conditions of Use:
No Strings Attached
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.

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Michael Dubson
Date Added:
01/26/2007
Magnets and Electromagnets
Conditions of Use:
No Strings Attached
Rating

Explore the interactions between a compass and bar magnet. Discover how you can use a battery and wire to make a magnet! Can you make it a stronger magnet? Can you make the magnetic field reverse?

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Archie Paulson
Carl Wieman
Chris Malley
Danielle Harlow
Kathy Perkins
Michael Dubson
Date Added:
12/02/2010
Math Bootcamp Wiki
Conditions of Use:
No Strings Attached
Rating

This wiki page list the activities, student projects and journal reflections from the Math Bootcamp July 6-9, 2010 in Portola Valley, CA. The Boot Camp is an intensive, one-week program focused on accelerating the learning of some of the San Francisco Peninsula’s high potential young minds. It is directed at rising 6 -12th graders (we will be willing to make exceptions for particularly mature rising 5th graders) who demonstrate the motivation and ability to deepen their understanding of math, science and engineering. Although this is not an SAT-prep course, SAT-type problems will be heavily used and the students will be encouraged to take the SAT to assess their overall progress. The heavy thinking will be interspersed with creative and physical activities to ensure the flow of blood to both the body and brain!

Material Type:
Activity/Lab
Lesson Plan
Teaching/Learning Strategy
Provider:
We Teach Science and Khan Academy
Provider Set:
Individual Authors
Date Added:
02/16/2011
Mathematical Practice 7: Look For and Make Use of Structure
Conditions of Use:
Read the Fine Print
Rating

At Inside Mathematics, we’ve assembled multiple ways for educators to begin to transform their teaching practices. You might be in search of materials and tasks you can use immediately with your students; you can search by grade level and content area below to find core mathematical principles as well as materials developed by the Mathematics Assessment Resource Service (MARS). If you want to develop your understanding of the national Common Core Standards for Mathematical Practice, you can find information here regarding MP.7.

Material Type:
Activity/Lab
Provider:
Maryland Public Television
Noyce Foundation
Provider Set:
Mathlanding: Elementary Mathematics Pathway
Inside Mathematics
Author:
Individual Authors
Noyce Foundation
Shell Centre
The Charles A. Dana Center at The University of Texas in Austin
Date Added:
11/05/2012
Mechatronics
Conditions of Use:
Read the Fine Print
Rating

Examination of Mechatronics, including the integration of mechanics, electronics, signal processing, and control systems, signal amplification, data sampling and filtering, machine programming, actuator and motor control, sensors and robotics.

Material Type:
Full Course
Provider:
The Saylor Foundation
Date Added:
08/28/2013
Modeling and Simulation for High School Teachers: Principles, Problems, and Lesson Plans
Conditions of Use:
Remix and Share
Rating

A collaboration between the National Aeronautics and Space Administration (NASA) and the CK-12 Foundation, this book provides high school mathematics and physics teachers with an introduction to the main principles of modeling and simulation used in science and engineering. An appendix of lesson plans is included.

Material Type:
Lesson Plan
Teaching/Learning Strategy
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Date Added:
10/24/2012
My Solar System
Conditions of Use:
No Strings Attached
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