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**Earth and space science**

**Mathematics**

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This is a booklet containing 31 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 black holes, ice on Mercury, a mathematical model of the Sun's interior, sunspots, the heliopause, and coronal mass ejections, among many others. (View Less)

This is a booklet containing 87 problem sets that involve a variety of math skills, including scale, geometry, graph analysis, fractions, unit conversions, scientific notation, simple algebra, and calculus. Each set of problems is contained on one... (View More) page. Learners will use mathematics to explore varied space science topics in the areas of Earth science, planetary science, and astrophysics, among many others. This booklet can be found on the Space Math@NASA website. (View Less)

This is a lesson about discovering distant planets using an Earth-based observing technique called stellar occultation. Learners will explore how a stellar occultation occurs, how planetary atmospheres can be discovered, and how planetary diameters... (View More) can be determined using actual light curves from stellar occultation events. Includes adaptations for younger students and those with visual impairments. (View Less)

In a mechanical demonstration of the Pythagorean theorem, this example provides a practical, hands-on method for deriving square roots using a carpenter's square. This resource is from PUMAS - Practical Uses of Math and Science - a collection of... (View More) 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 planet sizes. Learners will demonstrate the size (volume) differences between Earth, Earth’s Moon, and Mars. An extension to estimate the distance between the Earth and the Moon, and the Earth and Mars, using the scale of... (View More) the play dough planets' sizes is provided. Advance preparation of the play dough (recipie provided) is required. This is lesson 3 of 16 in the MarsBots learning module. It was adapted from 3-D Model of the Earth and Moon, an activity in The Universe at Your Fingertips. (View Less)

This is a lesson about detecting ice on the permanently shadowed craters of Mercury and the Moon. Learners will consider what might be in that ice and will examine why the polar regions of Earth, Mercury and the Moon are colder than elsewhere on the... (View More) planets. Activities include small group miming, speaking, drawing, and/or writing. This is the lesson 12 of 12 in the unit, Exploring Ice in the Solar System. (View Less)

Materials Cost: $5 - $10 per group of students

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 lesson about condensation, snow and snowflakes. Learners will investigate how water and ice exist in the atmosphere as they study water vapor condensing, find that clouds are made of tiny droplets of water, and notice that snow forms in... (View More) clouds. Activities include demonstrations by the teacher, small group miming, speaking, drawing, and/or writing. In addition to commonly found classroom materials, dry ice, an aquarium or terrarium container, magnifying glass are needed. This is lesson 6 of 12 in the unit, Exploring Ice in the Solar System. (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)

Mathematicians often argue that anything which can be represented numerically or algebraically can also be represented geometrically. This is perhaps true even to the extent that simple numeric calculations can be demonstrated geometrically. This... (View More) example illustrates one such geometric process of addition. 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)