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The Art of Approximation in Science and Engineering: How to Whip Out Answers Quickly
Conditions of Use:
Remix and Share
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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:
M.I.T.
Provider Set:
M.I.T. 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.

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
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.

Subject:
Computer Science
Engineering
Education
Mathematics
Geometry
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
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.

Subject:
Engineering
Life Science
Mathematics
Physics
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
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.

Subject:
Engineering
Education
Life Science
Mathematics
Chemistry
Physics
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
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!

Subject:
Engineering
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.

Subject:
Engineering
Education
Mathematics
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
Measurement & Experimentation Laboratory
Conditions of Use:
Read the Fine Print
Rating

This course serves as an introduction to working in an engineering laboratory. The student will learn to gather, analyze, interpret, and explain physical measurements for simple engineering systems in which only a few factors need be considered. Upon successful completion of this course, the student will be able to: Interpret and use scientific notation and engineering units to describe physical quantities; Present engineering data and other information in graphical and/or tabular format; Use automated systems for data acquisition and analysis for engineering systems; Work in teams for experiment design, data acquisition, and data analysis; Use elementary concepts of physics to analyze engineering situations and data; Summarize and present experimental design, implementation, and data in written format; Use new technology and resources to design and perform experiments for engineering analysis. (Mechanical Engineering 301)

Subject:
Engineering
Material Type:
Full Course
Provider:
The Saylor Foundation
Date Added:
11/16/2011
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.

Subject:
Engineering
Material Type:
Full Course
Provider:
The Saylor Foundation
Date Added:
08/28/2013
Mission to Mars
Conditions of Use:
Read the Fine Print
Rating

The Mission to Mars curricular unit introduces students to Mars the Red Planet. Students discover why scientists are so interested in studying this mysterious planet. Many interesting facts about Mars are revealed, and the history of Martian exploration is reviewed. Students will learn about the development of robotics and how robots are beneficial to science, society and the exploration of space. Details on engineers' involvement in space exploration are presented. Furthermore, students will learn how orbits allow astronauts to move from planet to planet and what type of equipment is used by scientists and engineers to safely explore space. Lastly, the specific details on and human risks for a possible future manned mission to Mars (and back to Earth again!) are discussed.

Subject:
Engineering
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Date Added:
03/02/2009
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.

Subject:
Engineering
Physics
Material Type:
Lesson Plan
Teaching/Learning Strategy
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Date Added:
10/24/2012
Navigating by the Numbers
Conditions of Use:
Read the Fine Print
Rating

In this lesson, students will learn that math is important in navigation and engineering. Ancient land and sea navigators started with the most basic of navigation equations (Speed x Time = Distance). Today, navigational satellites use equations that take into account the relative effects of space and time. However, even these high-tech wonders cannot be built without pure and simple math concepts basic geometry and trigonometry that have been used for thousands of years. In this lesson, these basic concepts are discussed and illustrated in the associated activities.

Subject:
Engineering
Mathematics
Geometry
Trigonometry
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Janet Yowell
Jeff White
Malinda Schaefer Zarske
Penny Axelrad
Date Added:
09/18/2014
Ohm's Law
Conditions of Use:
No Strings Attached
Rating

See how the equation form of Ohm's law relates to a simple circuit. Adjust the voltage and resistance, and see the current change according to Ohm's law. The sizes of the symbols in the equation change to match the circuit diagram.

Subject:
Engineering
Electronic Technology
Material Type:
Activity/Lab
Interactive
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Michael Dubson
Mindy Gratny
Date Added:
11/16/2007
Phylogenetics
Rating

This activity lets learners participate in the process of reconstructing a phylogenetic tree and introduces them to several core bioinformatics concepts, particularly in relation to evolution. Groups of learners (at least 10) repeat a secret message (five to seven similar-sounding words) like the game "Telephone". In this version of the game, however, learners write and then code what they hear, creating a model of a phylogenetic tree and using a species distance matrix. This resource includes background information about phylogenetic trees, maximum parsimony, and matrix theory (see page 6-7 of PDF).

Subject:
Computer Science
Engineering
Information Science
Education
Life Science
Mathematics
Anthropology
Material Type:
Activity/Lab
Game
Lesson Plan
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.
Jim Becker
Katrin Becker
Truman State University
Date Added:
01/02/2005
Programming Languages
Rating

In this activity related to computer programming, learners give directions to a "robot" (either an adult or another learner) and find out which instructions the robot is able to follow, and how their instructions are taken literally. This activity will simulate how computers follow instructions very precisely, which can be frustrating at times. This activity also helps learners understand instruction set size (large complex vs. small efficient).

Subject:
Computer Science
Engineering
Education
Life Science
Anthropology
Material Type:
Activity/Lab
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.
Jason Clutterbuck
Richard Nelson
Sebastian Hšhna
Sebastian Hí_hna
Stefan Marks
Wilson Siringoringo
Date Added:
01/02/2008
Red Rover Robotics
Conditions of Use:
Read the Fine Print
Rating

This lesson will start with a brief history of robotics and explain how robots are beneficial to science and society. The lesson then will explore how robots have been used in recent space exploration efforts. The engineering design of the two Mars rovers, Spirit and Opportunity, will be used as prime examples. Finally, the maneuverability of their robotic arms and the functionality of their tools will be discussed.

Subject:
Engineering
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Chris Yakacki
Daria Kotys-Schwartz
Geoffrey Hill
Janet Yowell
Malinda Schaefer Zarske
Date Added:
09/18/2014
Stack It Up!
Conditions of Use:
Read the Fine Print
Rating

Students analyze and begin to design a pyramid. Working in engineering teams, they perform calculations to determine the area of the pyramid base, stone block volumes, and the number of blocks required for their pyramid base. They make a scaled drawing of the pyramid using graph paper.

Subject:
Architecture and Design
Engineering
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Denise Carlson
Glen Sirakavit
Gregory Ramsey
Jacquelyn Sullivan
Lawrence E. Carlson
Malinda Schaefer Zarske
Date Added:
09/26/2008
Strong-Arm Tactics
Conditions of Use:
Read the Fine Print
Rating

Students generally do not know the complexity that goes into building and programming a robotic arm. In actuality, creating such an arm comes from a design that involves mechanical, electrical, and computer science engineers. This activity allows students to control a robotic arm from both a machine's and a computer science engineer's perspective by letting them perform a simple task with a few entertaining instructions and constraints.

Subject:
Computer Science
Engineering
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Chris Yakacki
Daria Kotys-Schwartz
Geoffrey Hill
Janet Yowell
Malinda Schaefer Zarske
Date Added:
09/26/2008
Using Geometry to Design Simple Machines
Conditions of Use:
Remix and Share
Rating

This video is meant to be a fun, hands-on session that gets students to think hard about how machines work. It teaches them the connection between the geometry that they study and the kinematics that engineers use -- explaining that kinematics is simply geometry in motion. In this lesson, geometry will be used in a way that students are not used to. Materials necessary for the hands-on activities include two options: pegboard, nails/screws and a small saw; or colored construction paper, thumbtacks and scissors. Some in-class activities for the breaks between the video segments include: exploring the role of geometry in a slider-crank mechanism; determining at which point to locate a joint or bearing in a mechanism; recognizing useful mechanisms in the students' communities that employ the same guided motion they have been studying.

Subject:
Engineering
Education
Mathematics
Geometry
Physics
Material Type:
Lecture
Provider:
M.I.T.
Provider Set:
M.I.T. Blossoms
Author:
Daniel D. Frey
MIT BLOSSOMS
Date Added:
06/02/2012