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**Earth and space science**

**Mathematics**

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Emphasizing the synergies between science and engineering, these video clips highlight the research of professional ocean scientists and engineers in various disciplines. The clips are accompanied by additional relevant content including images,... (View More) data visualizations, graphs, animations, and other information. Content has been organized into more than a dozen thematic areas such as Solving Old Problems with New Technology and Small Scale Observations and Large Scale Ideas. All content has been aligned with science and engineering practices from the Next Generation Science Standards, including "asking questions and solving problems" and "planning and carrying out investigations," providing applicable resources for teachers who want to provide role models of effective practice for their students. (View Less)

Students will use NASA's Global Climate Change website to research five of the key indicators (vital signs) of Earth’s climate health. These indicators are: global surface temperature, carbon dioxide concentrations, sea level, Arctic sea ice, and... (View More) land ice. They will use this information, shared in their expert groups, to create an informative poster about their assigned key indicator. The poster will be used by other groups to learn about all five of the key indicators and how Earth scientists use these indicators to analyze changes in Earth’s climate. The lesson plan uses the 5E instructional sequence. (View Less)

You can find statistics in every day life - this example explains how to calculate the chance of a member of a committee is receiving a bribe. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created... (View More) by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)

In a mechanical demonstration of the Pythagorean theorem, this example provides a practical, hands-on method for deriving square roots using a carpenter's square. This resource is from PUMAS - Practical Uses of Math and Science - a collection of... (View More) brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)

This website provides an overview of ocean surface circulation. Satellite and model data allows high school students to investigate circulation patterns, navigation, associated weather and climate, natural hazards and marine resources. There are... (View More) five lessons affiliated with this site; the teacher and student guides to each can be accessed directly from the home page. (Note that these lessons are cataloged individually.) Other links provide information on background, impact, gathering data, researchers, data resources and a glossary. There are also online quizzes on the home page on navigation, coriolis force, satellites, ocean warming, energy balance, and ocean gyres. (View Less)

Mathematicians often argue that anything which can be represented numerically or algebraically can also be represented geometrically. This is perhaps true even to the extent that simple numeric calculations can be demonstrated geometrically. This... (View More) example illustrates one such geometric process of addition. 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. (View Less)

It is common in the real world to see mathematical examples where the cents sign was used when the dollar sign was supposed to be used. Converting and comparing decimals and fractions can help clear up this misconception. Two real coupons clipped... (View More) from a Sunday paper coupon section are included in this activity. 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. (View Less)

This article discusses an example of a practical use of the square root of 2 by explaining how this irrational number figures in printing two pages on one side of A series-sized paper. This resource is from PUMAS - Practical Uses of Math and Science... (View More) - 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. (View Less)

This resource provides an explanation of two number/magic puzzles that can be demystified and explained by using algebra. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and... (View More) engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)

This article is about the isoperimetric theorem. It states the theorem, explains its history and uses examples and exercises to demonstrate it. The resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created... (View More) by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)