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**Earth and space science**

**Mathematics**

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This is a booklet containing 36 problem sets that involve a variety of math skills, including scientific notation, algebra, geometry, and calculus. Each set of problems is contained on one page. Learners will use mathematics to explore varied space... (View More) science topics including radiation effects on humans and technology, solar science, and other mathematics topics. (View Less)

This is a booklet containing 15 problems that incorporate data and information from the Hinode solar observatory. The problems involve math skills such as finding the scale of an image to determine actual physical sizes in images, time calculations,... (View More) volumes of cylinders, graph analysis, and scientific notation. Learners will use mathematics to explore solar science topics such as sunspot structure, spectroscopy, solar rotation, magnetic fields, density and temperature of hot gases, and solar flares. This booklet can be found on the Space Math@NASA website. (View Less)

It is common in the real world to see mathematical examples where the cents sign was used when the dollar sign was supposed to be used. Converting and comparing decimals and fractions can help clear up this misconception. Two real coupons clipped... (View More) from a Sunday paper coupon section are included in this activity. 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 is a lesson about magnetism and solar flares. Learners will evaluate real solar data and images in order to calculate the energy and magnetic strength of a solar flare moving away from the Sun as a coronal mass ejection. This is Activity 3 in... (View More) the Exploring Magnetism in Solar Flares teachers guide. (View Less)

This is a booklet containing 24 problem sets that involve a variety of math skills, including scientific notation, simple algebra, and calculus. Each set of problems is contained on one page. Learners will use mathematics to explore varied space... (View More) science topics including solar storms, solar energy, coronal mass ejections, and doppler shift, among others. (View Less)

This is a booklet containing 20 problem sets that involve a variety of math skills, including equations and substitution, time calculations, reading, algebra, and more. Each set of problems is contained on one page. Learners will use mathematics to... (View More) explore space science topics related to our Sun, auroras, solar features, space weather, sunspots, and solar storms. This booklet can be found on the Space Math@NASA website. (View Less)

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 is a detailed historical lesson about comets, distant icy worlds often visible to observers on Earth. Learners will consider the essential question, "What are comets?" They will practice observation and "noticing" skills as they enact a story... (View More) of comets travelling through the solar system and examine images of comets and the current space missions exploring them. This is lesson 10 of 12 in the unit, Exploring Ice in the Solar System. (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)