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**Earth and space science**

**Mathematics**

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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 an activity about the Signal-to-Noise Ratio. Learners will engage with a hands-on activity and an online interactive to understand the terms signal and noise as they relate to spacecraft communication; quantify noise using a given dataset;... (View More) and calculate the signal-to-noise ratio. The activity also includes a pencil-and-paper component that addresses relevant topics, such as proportions and ratios. Includes teacher background information, student data sheets, answer guide, extensions and adaptions. (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)

Learners will explore spacecraft radio communications concepts, including the speed of light and the time-delay for signals sent to and from spacecraft. Learners measure the time it takes for a radio signal to travel to a spacecraft using the speed... (View More) of light, demonstrate the delay in radio communication signals to and from a spacecraft, and devise unique solutions to the radio-signal-delay problem. In an extension, learners are asked to calculate the distance the spacecraft traveled. All NASA spacecraft missions have a telecommunications system and use radio waves to transmit signals. The context for this activity is sending a command to the New Horizons spacecraft telling it to take a picture of Pluto. Includes teacher background, adaptations, and student data sheets. (View Less)

This is a collection of mathematical problems about transits in the solar system. Learners can work problems created to be authentic glimpses of modern science and engineering issues, often involving actual research data.

This is a book containing over 200 problems spanning over 70 specific topic areas covered in a typical Algebra II course. Learners can encounter a selection of application problems featuring astronomy, earth science and space exploration, often with... (View More) more than one example in a specific category. Learners will use mathematics to explore science topics related to a wide variety of NASA science and space exploration endeavors. Each problem or problem set is introduced with a brief paragraph about the underlying science, written in a simplified, non-technical jargon where possible. Problems are often presented as a multi-step or multi-part activities. This book can be found on the Space Math@NASA website. (View Less)

In this problem set, learners will consider the temperature in Kelvin of various places in the universe and use equations to convert measures from the three temperature scales to answer a series of questions. Answer key is provided. This is part of... (View More) Earth Math: A Brief Mathematical Guide to Earth Science and Climate Change. (View Less)

This is a booklet containing 37 space science mathematical problems, several of which use authentic science data. The problems involve math skills such as unit conversions, geometry, trigonometry, algebra, graph analysis, vectors, scientific... (View More) notation, and many others. Learners will use mathematics to explore science topics related to Earth's magnetic field, space weather, the Sun, and other related concepts. This booklet can be found on the Space Math@NASA website. (View Less)

In this problem set, learners will refer to the tabulated data used to create the Keeling Curve of atmospheric carbon dioxide to create a mathematical function that accounts for both periodic and long-term changes. They will use this function to... (View More) answer a series of questions, including predictions of atmospheric concentration in the future. A link to the data, which is in an Excel file, as well as the answer key are provided. This is part of Earth Math: A Brief Mathematical Guide to Earth Science and Climate Change. (View Less)

In this problem set, learners will practice fractions by working with the ratios of various molecules or atoms in different compounds to answer a series of questions. Answer key is provided. This is part of Earth Math: A Brief Mathematical Guide to... (View More) Earth Science and Climate Change. (View Less)