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**Earth and space science**

**Mathematics**

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This interactive, online module allows students to discover the velocity needed to escape the Earth's gravitational pull. By completing this activity, students discover how mathematics can be used to find escape velocity. Students may complete this... (View More) activity independently or in small groups. Detailed teacher pages, identified as Teaching Tips on the title page, provide science background information, lesson plan ideas, related resources, and alignment with national education standards. This module is a subsection of "Is a Black Hole Really A Hole?" It is within the online exploration "No Escape: The Truth about Black Holes" available on the Amazing Space website. (View Less)

This lesson is comprised of four parts grouped to enable student appreciation of the importance of making accurate scientific observations, descriptions, and drawings. In part one (The Truth is Out There), students describe an object given to them... (View More) by their instructor. In part two (Who Knows?), students attempt to draw and identify a creature based on another student’s description. In part three (Tell It Like It Is!), students make new descriptions, using accurate observations and measurements of what they see. In part four (Truth Revealed), students assess the completeness of the more detailed descriptions. These activities are part of an astrobiology guide called the "Fingerprints of Life" which contains background information for students, worksheets, extension activities, suggested assessments, and alignment to standards. (View Less)

In these activities, students investigate how gamma ray bursts emit energy in beams (as opposed to emitting light in all directions) and investigate the implications of this on the total number of gamma ray bursts seen in the universe. This activity... (View More) is part of a unit designed to use gamma-ray bursts - unimaginably huge explosions that signal the births of black holes - as an engagement tool to teach selected topics in physical science and mathematics. The guide is based on the 5E instructional sequence and features background information, assessments, student worksheets, extension and transfer activities. (View Less)

In this activity, students determine the direction to a gamma ray burst using the times it is detected by three different spacecraft located somewhere in the solar system. We assume that all the spacecraft are in the plane of the Earth's orbit... (View More) around the Sun; that is, there is no third dimension and that we are only concerned with two dimensions, x and y. We also assume the burst is billions of light years away, so the incoming gamma rays are traveling along parallel lines. This activity is part of a unit that is designed to use gamma-ray bursts - unimaginably huge explosions that signal the births of black holes - as an engagement tool to teach selected topics in physical science and mathematics. The guide is based on the 5E instructional sequence and features background information, assessments, student worksheets, extension and transfer activities. (View Less)

In this activity, students look at the distribution of aluminum foil balls arranged in a circle on the floor, and compare them to the distribution of gamma-ray bursts on the sky. This activity is part of a unit designed to use gamma-ray bursts -... (View More) unimaginably huge explosions that signal the births of black holes - as an engagement tool to teach selected topics in physical science and mathematics. The guide is based on the 5E instructional sequence and features background information, assessments, student worksheets, extension and transfer activities. (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 convert antilogs to logs, and logs to antilogs using scientific notation as an intermediate step. They will thereby develop a look-up table for solving math problems by using logarithms. This is activity D2 in the "Far Out... (View More) 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)

In this activity students use log tapes and base-two slide rules as references to graph exponential functions and log functions in base-10 and base-2. Students discover that exponential and log functions are inverse, reflecting across the y = x axis... (View More) as mirror images. This is activity E2 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, the GLAST mission was renamed Fermi, for the physicist Enrico Fermi. (View Less)

In this activity students construct multiplying slide rules scaled in Base-10 exponents and use them to calculate products and quotients. They will come to appreciate that super numbers (exponents, orders of magnitude and logarithms) play by... (View More) different rules of arithmetic than ordinary numbers (numbers, powers of ten and antilogs). This is activity A2 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)