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**Earth and space science**

**Mathematics**

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This is a set of three, one-page problems about the scale of objects in images returned by spacecraft. Learners will measure scaled drawings using high-resolution images of the lunar and martian surfaces. Options are presented so that students may... (View More) learn about the Lunar Reconnaissance Orbiter (LRO) mission through a NASA press release or by viewing a NASA eClips video [4 min]. Common Core State Standards for Mathematics and English Language Arts are identified. This activity is part of the Space Math multi-media modules that integrate NASA press releases, NASA archival video, and mathematics problems targeted at specific math standards commonly encountered in middle school. (View Less)

This is a lesson about statistics in science as it applies to the measurement of dust in space. Learners will be introduced to the concepts of error analysis, including standard deviation. They will apply the knowledge of averages (means), standard... (View More) deviation from the mean, and error analysis to their own distribution of heights and then to the Student Dust Counter (SDC) data to determine the issues associated with taking data including error and noise. (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)

Learners will build an open spectrograph to calculate the angle the light is transmitted through a holographic diffraction grating. After finding the desired angles, the students will design their own spectrograph using the information learned. The... (View More) 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 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 is an activity about mission planning. Learners will use the roles of a navigation team, spacecraft, comet, Earth, and Sun to simulate how mission planners design a spacecraft/comet rendezvous. This activity requires at least four active... (View More) participants and a large open space. Includes mathematics extensions. (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)

This is a building-wide enrichment program consisting of a series of posters and accompanying questions designed to pique student interest in science concepts and their application to the world in which we live. Accompanying each poster is a series... (View More) of question sheets of increasing difficulty levels that students answer and submit at a designated location (collection box, office, etc.). Random prize drawings can be used to recognize/celebrate student participation. The purpose is to expose students to and create school-wide interest about science so students want to "STOP for Science" as displays are changed throughout the year. Although the focus is building-wide, content can be linked to classrooms through use of accompanying teacher resource guides. The website includes several resources for program facilitators, including posters, answer sheets, podcasts, implementation guide and webinars for facilitators. The program targets grades 3-6 for independent use, but can be used with grades K-2 with adult or upper grade level assistance. Each poster in the series stands alone and is not tied to concepts in other posters. Therefore, posters can be displayed in any sequence desired. (View Less)

Math skills are applied throughout this investigation of windows. Starting with basic window shapes, students determine area and complete a cost analysis, then do the same for windows of unconventional shapes. Students will examine photographs taken... (View More) by astronauts through windows on the Space Shuttle and International Space Station to explore the inverse relationship between lens size and area covered. This lesson is part of the Expedition Earth and Beyond Education Program. (View Less)

This is an activity about the period of the Sun’s rotation. Learners will select images of the Sun from the SOHO spacecraft image archive. Next, they will calculate an image scale for the selected solar images. Then, they will use it to help... (View More) determine the actual speed of sunspots based on measurements of their motion in the selected Sun images and, finally, determine the period of the Sun's rotation. This activity requires access to the internet to obtain images from the SOHO image archive. This is Activity 3 of the Space Weather Forecast curriculum. (View Less)