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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)

This activity allows participants to build a paper model of the GPM Core Observatory and learn about the technology the satellite uses to measure precipitation from space. Directions explain how to cut, fold and glue the individual pieces together... (View More) to make the model. The accompanying information sheet has details about the systems in the satellite including the Dual-frequency Precipitation Radar (DPR), the GPM Microwave Imager (GMI), the High Gain Antenna, avionics and star trackers, propulsion system and solar array, as well as a math connection and additional engineering challenges. (View Less)

Materials Cost: 1 cent - $1 per group of students

This book contains 24 illustrated math problem sets based on a weekly series of space science problems. Each set of problems is contained on one page. The problems were created to be authentic glimpses of modern science and engineering issues, often... (View More) involving actual research data. Learners will use mathematics to explore problems that include basic scales and proportions, fractions, scientific notation, algebra, and geometry. (View Less)

This is an online set of information about astronomical alignments of ancient structures and buildings. Learners will read background information about the alignments to the Sun in such structures as the Great Pyramid, Chichen Itza, and others.... (View More) Next, the site contains 10 short problem sets that involve a variety of math skills, including determining the scale of a photo, measuring and drawing angles, plotting data on a graph, and creating an equation to match a set of data. Each set of problems is contained on one page and all of the sets utilize real-world problems relating to astronomical alignments of ancient structures. Each problem set is flexible and can be used on its own, together with other sets, or together with related lessons and materials selected by the educator. This was originally included as a folder insert for the 2010 Sun-Earth Day. (View Less)

This is an activity about detecting elements by using light. Learners will develop and apply methods to identify and interpret patterns to the identification of fingerprints. They look at fingerprints of their classmates, snowflakes, and finally... (View More) “spectral fingerprints” of elements. They learn to identify each image as unique, yet part of a group containing recognizable similarities. The activity is part of Project Spectra, a science and engineering program for middle-high school students, focusing on how light is used to explore the Solar System. (View Less)

This is a lesson about using the light from the star during an occultation event to identify the atmosphere of a planet. Learners will add and subtract light curves (presented as a series of geometrical shapes) to understand how this could occur.... (View More) The activity is part of Project Spectra, a science and engineering program for middle-high school students, focusing on how light is used to explore the Solar System. (View Less)

This is a series of three webpages about how humans and computers communicate. Learners will explore the binary and hexidecimal systems and how engineers use them to translate spacecraft data into images.

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... (View More) 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. (View Less)

This lesson uses a simple discrepant event to demonstrate the underlying cause for early miscalculation of the size of the Milky Way galaxy. By standardizing the Cepheid period-luminosity relationship without recognizing there were two types of... (View More) Cepheid variable stars with intrinsic differences in absolute magnitude, a distance calculation error occurred. Requires two lamps and two soft-white light bulbs: 25 watt and 60 watt (estimated materials cost is for light bulbs). This lesson is part of the Cosmic Times teachers guide and is intended to be used in conjunction with the 1955 Cosmic Times Poster. (View Less)

In this lesson, students measure the size of several galaxies to reproduce a plot of Hubble's Law. The goal of this lesson is to give students the chance to simulate the process that led to the notion that the universe is expanding, provide insight... (View More) into how this idea was reached, and inform students about the nature of our universe. This lesson is part of the Cosmic Times teacher's guide and is intended to be used in conjunction with the 1929 Cosmic Times Poster. (View Less)