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**Earth and space science**

**Mathematics**

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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 heat can be transmitted from one place to another,... (View More) 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 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)

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)

This is an activity about the Aurora Borealis or Northern Lights. Learners will plot the Auroral Oval in the northern hemisphere and determine the height of the northern lights using Carl Stormer's triangulation method. This activity corresponds to... (View More) the NASA CONNECT video, titled Dancing in the Night Sky, and has supplemental questions to support the video viewing. (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)