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**Mathematics**

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In this activity, students use base-two slide rules, log tapes, and calculators to practice raising exponents in base notation and pulling down exponents in log notation. Students will develop an understanding that antilog notation expresses the... (View More) exact same idea as raising a base to a power. This activity is activity C2 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)

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)

This is an activity about the mathematics of oscillation. Using data obtained in ninth and tenth activities in the Exploring the Earth's Magnetic Field: An IMAGE Satellite Guide to the Magnetosphere educators guide, learners will plot the formula... (View More) X(t)=X(0)cos(ft) or X(t)=X(0)sin(ft), depending on the data obtained during the oscillation experiments. Then, the mathematical model for oscillation is further refined by including damping. This is the eleventh activity in the guide and requires prior use and construction of a soda bottle magnetometer. (View Less)

This is an activity about the magnetic deflection. Learners will observe and measure the deflection that an iron mass causes in a soda bottle magnetometer and plot the data. The data should show the inverse-square cube law of change in the magnetic... (View More) field. This is the twelfth activity in the guide and requires prior use and construction of a soda bottle magnetometer, as well as a six to ten pound container of iron nails (or an equivalent iron mass). (View Less)

This activity shows how an ordinary ruler can measure human reaction time (RT). Learners will convert a standard ruler into a time ruler (relating time and distance) and measure each others RT. They will also calculate means and variances and the RT... (View More) required to accomplish a specific task. Additional resources and an extension to this activity are available. 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 science topics taught in K-12 classes have real world applications. (View Less)

This resource introduces the concept of wind chill, the formula used to measure it and relates it to the causes of hypothermia. A simple experiment using a pie pan, sand, fan and a thermometer demonstrates this concept. The resource is from PUMAS -... (View More) Practical Uses of Math 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)

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)