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**Earth and space science**

**Mathematics**

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This collection of 160 math problems covers the 20 science topic themes presented by the NASA/JPL Year of the Solar System (YOSS) website, covering the solar system, planets, the search for life, and robotics. Examples of topics included are: scale... (View More) of the solar system; asteroids; comets; moons and rings; volcanism in the solar system; ice in the solar system; water in the solar system; the Sun, transits and eclipses; astrobiology; magnetosphers and more. It is intended as a mathematics supplement for the science content presented at the YOSS website, and features grade-appropriate and Common Core State Standards-based math problems based on science content for grades 3-12. (View Less)

This book contains 24 illustrated math problem sets based on a weekly series of space science problems. Each set of problems is contained on one page. The problems were created to be authentic glimpses of modern science and engineering issues, often... (View More) involving actual research data. Learners will use mathematics to explore problems that include basic scales and proportions, fractions, scientific notation, algebra, and geometry. (View Less)

This is a lesson about statistics in science as it applies to the measurement of dust in space. Learners will be introduced to the concepts of error analysis, including standard deviation. They will apply the knowledge of averages (means), standard... (View More) deviation from the mean, and error analysis to their own distribution of heights and then to the Student Dust Counter (SDC) data to determine the issues associated with taking data including error and noise. (View Less)

This is an activity about detecting elements by using light. Learners will develop and apply methods to identify and interpret patterns to the identification of fingerprints. They look at fingerprints of their classmates, snowflakes, and finally... (View More) “spectral fingerprints” of elements. They learn to identify each image as unique, yet part of a group containing recognizable similarities. The activity is part of Project Spectra, a science and engineering program for middle-high school students, focusing on how light is used to explore the Solar System. (View Less)

This is a math-science integrated unit about spectrographs. Learners will find and calculate the angle that light is transmitted through a holographic diffraction grating using trigonometry. After finding this angle, the students will build their... (View More) own spectrographs in groups and research and design a ground or space-based mission using their creation. After the project is complete, student groups will present to the class on their trials, tribulations, and findings during this process. The activity is part of Project Spectra, a science and engineering program for middle-high school students, focusing on how light is used to explore the Solar System. (View Less)

This is a lesson about using the light from the star during an occultation event to identify the atmosphere of a planet. Learners will add and subtract light curves (presented as a series of geometrical shapes) to understand how this could occur.... (View More) The activity is part of Project Spectra, a science and engineering program for middle-high school students, focusing on how light is used to explore the Solar System. (View Less)

This is a series of three webpages about how humans and computers communicate. Learners will explore the binary and hexidecimal systems and how engineers use them to translate spacecraft data into images.

This is a lesson about the shape of objects in space. Learners will observe the surface of rotating potatoes to help them understand how astronomers use variations in reflective brightness to determine the shape of asteroids.

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)

This is a lesson about the design and operation of an ion propulsion engine. Learners will study the essential components and variables of an ion propulsion system. Activities include an on-line ion propulsion engine simulation and design. Included... (View More) are changes in energy and fuel consumption as a result of variable changes (dependent/independent variable relationships). This is activity 5 of 5 in Structure and Properties of Matter: Ion Propulsion. (View Less)