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In this activity students construct Log Tapes calibrated in base-ten exponents, then use them to derive relationships between base-ten logs (exponents) and antilogs (ordinary numbers). This is activity B1 in the "Far Out Math" educator's guide.... (View More) 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 develop a simplified log table using information from their Log Tapes. Then they use it to solve arithmetic problems by looking up and combining logs, and finding the antilog. Because these problems are extremely simple,... (View More) students appreciate the logic of logarithms without getting bogged down in the arithmetic detail and error. This is activity B3 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 classic slide rules and use them like calculators. Students use the slide rules to read scales, determine significant figures, and estimate decimal places. This is activity D3 in the "Far Out Math" educator's... (View More) 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 graph second and third order functions, discovering an inverse relationship between squares and square roots and between cubes and cube roots. Students graph these functions on both linear grid (evenly spaced numbers), and... (View More) a log-log grid (evenly space exponents). Graph lines that curve on linear grids transform into straight lines on the log-log grids, with slopes equal to their exponential powers. This activity is activity E3 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 interactive, online activity, students practice estimation skills as they begin to explore the Hubble Deep Field image. Students first give a rough estimate of the number of objects in the image. They then use representative sampling... (View More) techniques to improve upon their original estimates. Finally, they use their estimates to calculate the number of galaxies in the universe. Students can work through the activity independently or in groups. Detailed teacher pages, identified as Teaching Tips on the title page of the activity, provide science background information, lesson plan ideas, related resources, and alignment with national education standards. This activity is part of the online exploration "The Hubble Deep Field Academy" that is available on the Amazing Space website. (View Less)

In this activity, students build a model of an active galaxy. From this, they will learn about the geometry of the components of an active galaxy and develop an understanding that different viewing angles can lead to dramatically different... (View More) interpretations of a galaxy's appearance. The activity includes background information, glossary, essential questions, extension activities, transfer activities, adaptations for visually-impaired students, and an answer key. Additional materials needed to do this activity include a compass. This is activity one of three in the Active Galaxies education unit. (View Less)

This activity focuses on the question, What do active galaxies look like when viewed from different distances? Students work in small groups to learn about the small angle formula, construct a template, and use it to correctly measure the angular... (View More) size of a person. Students then use the Active Galaxies Poster to measure the angular size of a galaxy. Materials are commonly available or inexpensive items, e.g., scissors, cardboard, construction paper, calculator, protractor, meter stick or measuring tape). Includes background information, glossary, essential questions, extension activities, transfer activities, adaptations for visually-impaired students, and an answer key. This is activity 2 of 3 in the Active Galaxies Educators Guide. (View Less)

This is an activity about using large numbers in astronomy. Learners will first estimate how long it would take to count to a billion, if it was a full-time job. Then, they will judge their estimates using a calculator to get a more definitive... (View More) answer. Finally, they will calculate the time or speed needed to travel to the star, Proxima Centauri. This is Actividad 13.4 as part of El Universo a Sus Pies, a Spanish-language curriculum, available for purchase. (View Less)

This activity introduces measurement and scale using hands-on activities. In this activity, students use the concept of similar triangles to determine the height of a tree. This activity is one of several available on an educational poster related... (View More) to NASA's Space Interferometry Mission. (View Less)

This is a lesson about representative sampling. When given parts of the Hubble Deep Field image, learners will count the number of galaxies in one sample section of the image. Then, they will calculate how many galaxies there are in each whole image... (View More) and how many objects the Hubble Space Telescope could see in the entire Universe. This is Actividad 8.6 as part of El Universo a Sus Pies, a Spanish-language curriculum available for purchase. (View Less)