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As science extension activities, this book of problems introduces students to mapping the shape of the Milky Way galaxy, and how to identify the various kinds of galaxies in our universe. Students also learn about the shapes and sizes of other... (View More) galaxies in our universe as they learn how to classify them. The math problems cover basic scientific notation skills and how they apply to working with astronomically large numbers. It also provides exercises in plotting points on a Cartesian plane to map the various features of our Milky Way. (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)

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 uses Gamma-ray Bursts as an engagement tool to teach... (View More) selected topics in physical science and mathematics. In addition to the activities, it features background information, assessment information, student worksheets, extension and transfer activities, and detailed information about the physical science and mathematics content standards for grades 9-12. This is Activity 3 of 4 in the guide which accompanies the educational wall sheet titled Angling for Gamma-ray Bursts (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) uses Gamma-ray Bursts as an engagement tool to teach selected topics in physical science and mathematics. In addition, the guide features background information, assessment information, student worksheets, extension and transfer activities, and detailed information about the physical science and mathematics content standards for grades 9-12. This is Activity 4 of 4 in the guide which accompanies the educational wall sheet, titled Angling for Gamma-ray Bursts. (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 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)

In this activity students add and subtract log distances on their Log Tapes to discover that the corresponding numbers multiply and divide. This will lead them to an experiential understanding of the laws of logarithms. This is activity B2 in the... (View More) "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 their Log Tapes as a reference for ordered pairs, and graph positive numbers as a function of their base-10 logarithms. They extend each plotted point to the vertical axis, thereby generating a logarithmic scale that... (View More) cuts and folds into an improvised slide rule. This is activity E1 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 Log Rulers, finely calibrated in base-10 exponents and numbers (logs and antilogs). They practice reading these scales as accurately as possible, listing all certain figures plus one uncertain figure. This is... (View More) activity D1 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)