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Advanced Fluid Dynamics of the Environment
Conditional Remix & Share Permitted
CC BY-NC-SA
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Theoretical topics of fluid dynamics relevant to natural phenomena or man-made hazards in water and atmosphere. Basic law of fluid motion. Scaling and approximations. Slow flows, with applications to drag on a particle and mud flow on a slope. Boundary layers: jets and plumes in pure fluids or in porous media. Thermal and buoyancy effects, selective withdrawal and internal waves. Transient boundary layers in impulsive flows or waves. Induced streaming and mass transport. Dispersion in steady flows or in waves. Effects of earth rotation on coastal flows. Wind induced flow in shallow seas. Stratified seas and coastal upwelling.

Subject:
Environmental Science
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Mei, Chiang C.
Date Added:
01/01/2002
Atlantean Dodgeball
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Ratio errors confuse a dodgeball coach as two teams face off in an epic tournament. See how mathematical techniques such as tables, graphs, measurements and equations help to find the missing part of a proportion.

Subject:
Mathematics
Material Type:
Lecture
Provider:
Learning Games Lab
Author:
NMSU Learning Gams Lab
Date Added:
07/15/2015
Bad Date
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True love has the right ratio. In this humorous animation, the number of words spoken by each partner predicts whether a date goes well or horribly. What do you do when someone asks if you listen to country music backwards, but won't let you get a word in edgewise?

Subject:
Mathematics
Material Type:
Lecture
Provider:
Learning Games Lab
Author:
NMSU Learning Games Lab
Date Added:
07/15/2015
Remix
Dream House Million Dollar Project Unit
Unrestricted Use
CC BY
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This project is meant to be cross-curricular, requiring students to utilize many instructional skills to complete each step. Such skills will include number sense to one million, addition and subtraction to one million, area/perimeter/scaling, 3-D design, and writing/advertising. The project could be completed in sequential order, completed as isolated projects or hand selected for which components are used in your classroom.

Subject:
Architecture and Design
Mathematics
Measurement and Data
Material Type:
Activity/Lab
Diagram/Illustration
Lesson
Module
Author:
STEMToolkit Administrator
Date Added:
06/14/2021
Dream House Million Dollar Project Unit
Unrestricted Use
CC BY
Rating
5.0 stars

This project is meant to be cross-curricular, requiring students to utilize many instructional skills to complete each step. Such skills will include number sense to one million, addition and subtraction to one million, area/perimeter/scaling, 3-D design, and writing/advertising. The project could be completed in sequential order, completed as isolated projects or hand selected for which components are used in your classroom.

Subject:
Architecture and Design
Mathematics
Measurement and Data
Material Type:
Activity/Lab
Diagram/Illustration
Lesson
Module
Author:
Matthew Rogers
Date Added:
12/06/2018
Estimating Planar Areas Using Analogue Methods
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This math problem determines the areas of simple and complex planar figures using measurement of mass and proportional constructs. Materials are inexpensive or easily found (poster board, scissors, ruler, sharp pencil, right angle), but also requires use of an analytical balance (suggestions are provided for working with less precise weighing tools). This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.

Subject:
Mathematics
Physics
Material Type:
Lecture Notes
Provider:
NASA
Provider Set:
NASA Wavelength
Date Added:
11/05/2014
An Inflated Impression of Mars
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Educational Use
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Students use scaling from real-world data to obtain an idea of the immense size of Mars in relation to the Earth and the Moon, as well as the distances between them. Students calculate dimensions of the scaled versions of the planets, and then use balloons to represent their relative sizes and locations.

Subject:
Engineering
Astronomy
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Chris Yakacki
Daria Kotys-Schwartz
Geoffrey Hill
Janet Yowell
Malinda Schaefer Zarske
Date Added:
09/18/2014
Overruled
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Two besotted rulers must embrace proportional units in order to unite their lands. It takes mathematical reasoning to identify the problem, and solution, when engineers from Queentopia and Kingopolis build a bridge to meet in the middle of the river.

Subject:
Mathematics
Material Type:
Lecture
Provider:
Learning Games Lab
Author:
NMSU Learning Games Lab
Date Added:
07/15/2015
Ratey the Math Cat
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Ratey pops up when you least expect him. And he can't resist pointing out the rates and "purrportions" in daily life. It turns out that everyday decisions rely on mathematical reasoning about rates.

Subject:
Mathematics
Material Type:
Diagram/Illustration
Lecture
Provider:
Learning Games Lab
Author:
NMSU Learning Games Lab
Date Added:
07/15/2015
Redesigning a Classroom for the Visually Impaired
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Educational Use
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Students practice human-centered design by imagining, designing and prototyping a product to improve classroom accessibility for the visually impaired. To begin, they wear low-vision simulation goggles (or blindfolds) and walk with canes to navigate through a classroom in order to experience what it feels like to be visually impaired. Student teams follow the steps of the engineering design process to formulate their ideas, draw them by hand and using free, online Tinkercad software, and then 3D-print (or construct with foam core board and hot glue) a 1:20-scale model of the classroom that includes the product idea and selected furniture items. Teams use a morphological chart and an evaluation matrix to quantitatively compare and evaluate possible design solutions, narrowing their ideas into one final solution to pursue. To conclude, teams make posters that summarize their projects.

Subject:
Engineering
Geometry
Measurement and Data
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
Activities
Author:
Manuel Figueroa
Date Added:
02/17/2017
Scale Ella
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The evil Scaleo has escaped from prison and is transforming the length, width, and height of objects until they become useless – or dangerous.
Who can put things right? Superheroine Scale Ella uses the power of scale factor to foil the villain.

Subject:
Mathematics
Material Type:
Lecture
Provider:
Learning Games Lab
Author:
NMSU Learning Games Lab
Date Added:
07/15/2015
Scaling, Go Figure!
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Educational Use
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Students learn how different characteristics of shapes—side lengths, perimeter and area—change when the shapes are scaled, either enlarged or reduced. Student pairs conduct a “scaling investigation” to measure and calculate shape dimensions (rectangle, quarter circle, triangle; lengths, perimeters, areas) from a bedroom floorplan provided at three scales. They analyze their data to notice the mathematical relationships that hold true during the scaling process. They see how this can be useful in real-world situations like when engineers design wearable or implantable biosensors. This prepares students for the associated activity in which they use this knowledge to help them reduce or enlarge their drawings as part of the process of designing their own wearables products. Pre/post-activity quizzes, a worksheet and wrap-up concepts handout are provided.

Subject:
Career and Technical Education
Mathematics
Measurement and Data
Numbers and Operations
Material Type:
Lesson
Provider:
TeachEngineering
Author:
Denise W. Carlson
Evelynne Pyne
Lauchlin Blue
Date Added:
02/07/2017
Stack It Up!
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Educational Use
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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
Transport Processes in the Environment
Conditional Remix & Share Permitted
CC BY-NC-SA
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This class serves as an introduction to mass transport in environmental flows, with emphasis given to river and lake systems. The class will cover the derivation and solutions to the differential form of mass conservation equations. Class topics to be covered will include: molecular and turbulent diffusion, boundary layers, dissolution, bed-water exchange, air-water exchange and particle transport.

Subject:
Environmental Science
Hydrology
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Heidi Nepf
Date Added:
01/01/2008
Wear’s the Technology?
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Educational Use
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Students apply their knowledge of scale and geometry to design wearables that would help people in their daily lives, perhaps for medical reasons or convenience. Like engineers, student teams follow the steps of the design process, to research the wearable technology field (watching online videos and conducting online research), brainstorm a need that supports some aspect of human life, imagine their own unique designs, and then sketch prototypes (using Paint®). They compare the drawn prototype size to its intended real-life, manufactured size, determining estimated length and width dimensions, determining the scale factor, and the resulting difference in areas. After considering real-world safety concerns relevant to wearables (news article) and getting preliminary user feedback (peer critique), they adjust their drawn designs for improvement. To conclude, they recap their work in short class presentations.

Subject:
Career and Technical Education
Mathematics
Measurement and Data
Numbers and Operations
Material Type:
Activity/Lab
Provider:
TeachEngineering
Author:
Denise W. Carlson
Evelynne Pyne
Lauchlin Blue
Date Added:
02/07/2017