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**Earth and space science**

**Mathematics**

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This is an activity about using models to solve a problem. Learners will use a previously constructed model of the MMS satellite to determine if the centrifugal force of the rotating MMS model is sufficient to push the satellite's antennae outward,... (View More) simulating the deployment of the satellites after launch. Then, learners will determine the minimum rotational speed needed for the satellite to successfully deploy the antennae. This is the seventh activity as part of the iMAGiNETICspace: Where Imagination, Magnetism, and Space Collide educator's guide. Instructions for downloading the iBook educator's guide and the associated Transmedia book student guide are available at the resource link. (View Less)

This is a collection of mathematics problems relating to the moons of the solar system. Learners will use simple proportional relationships and work with fractions to study the relative sizes of the larger moons in our solar system, and explore how... (View More) temperatures change from place to place using the Celsius and Kelvin scales. (View Less)

In these math problems, students will examine the characteristics of water droplets in clouds.

In this problem set, students learn about rainfall rates and how to convert them into the volume of water that falls.

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.]. 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)

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)

In this problem set, learners will calculate the parts-per-hundred measure for different scenarios. Answer key is provided. This is part of Earth Math: A Brief Mathematical Guide to Earth Science and Climate Change.

This problem set is about scale. Using a ruler, learners will measure the distance between two points on a satellite image and determine the scale of the image and other information to answer a series of questions. Answer key is provided. This is... (View More) part of Earth Math: A Brief Mathematical Guide to Earth Science and Climate Change. (View Less)