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**Earth and space science**

**Mathematics**

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This is a lesson about passive cooling methods. Learners will construct a simple device to measure how effective different materials are for protecting against sunlight, explain how heat relates to the motion of atoms and molecules, describe how... (View More) heat can be transmitted from one place to another, explain how sunlight arriving on Earth interacts with matter, and describe how MESSENGER is protected by a simple sunshade in the hot Mercurian environment. Materials required to do this activity include several commonly-found items (e.g., coffee cans, ice cubes, tape, ruler, calculators, stopwatch, and scale). This is lesson 3 of 4 at the Grade 9-12 range of "Staying Cool." (View Less)

In this activity, students solve exponential equations where the unknown is contained in the exponent. Students learn that taking base-10 or base-2 logs pulls down the exponent, allowing the unknown to be isolated and solved. This activity is... (View More) activity C3 in the "Far Out Math" educator's guide. Lessons in the guide include activities in which students measure, compare quantities as orders of magnitude, become familiar with scientific notation, and develop an understanding of exponents and logarithms using examples from NASA's GLAST mission. These are skills needed to understand the very large and very small quantities characteristic of astronomical observations. Note: In 2008, GLAST was renamed Fermi, for the physicist Enrico Fermi. (View Less)

In this activity, students construct base-two slide rules that add and subtract base-2 exponents (log distances), in order to multiply and divide corresponding powers of two. Students use these slide rules to generate both log and antilog equations,... (View More) learning to translate one in terms of the other. This is activity C1 in the "Far Out Math" educator's guide. Lessons in the guide include activities in which students measure,compare quantities as orders of magnitude, become familiar with scientific notation, and develop an understanding of exponents and logarithms using examples from NASA's GLAST mission. These are skills needed to understand the very large and very small quantities characteristic of astronomical observations. Note: In 2008, GLAST was renamed Fermi, for the physicist Enrico Fermi. (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 is a mathematical lesson utilizing algebra to investigate Earth's magnetosphere. Learners will solve algebraic distance equations that will show how the distance to the Earth's magnetopause depends on the incoming solar wind pressure. This is... (View More) the twentieth and final activity in the Exploring the Earth's Magnetic Field: An IMAGE Satellite Guide to the Magnetosphere educators guide. (View Less)

This story can be used to teach that results must be checked against known facts to see if they're reasonable. It is designed as a follow up to "The Fall of the Ruler." This resource is from PUMAS - Practical Uses of Math and Science - a collection... (View More) 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 planetary sizes and distances. Learners will construct a scale model of the Earth, Earth’s Moon and Mars in relation to each other using balloons. They will use this model to predict distances and reflect on how... (View More) scientists use models to construct explanations through the scientific process. The lesson models scientific inquiry using the 5E instructional model and includes teacher notesand vocabulary. (View Less)

This math example explains what celestial objects a person can see with the unaided eye from the vantage points of Earth and Mars, using simple math, algebra and astronomical distance information. This resource is from PUMAS - Practical Uses of Math... (View More) 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 example, students learn how to read a topographic map and understand map contours. 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... (View More) science topics taught in K-12 classes have real world applications. (View Less)

This is a lesson about measuring star size. Learners will use eclipsing binary systems to measure star diameters. This is Activity G-8 of Universe at Your Fingertips 2.0: A Collection of Activities and Resources for Teaching Astronomy DVD-ROM, which... (View More) is available for purchase. (View Less)