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**Earth and space science**

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Students will use the law of reflection to reflect a laser beam off multiple mirrors to hit a sticker in a shoebox. Since X-ray telescopes must use grazing angles to collect X-rays, students will design layouts with the largest possible angles of... (View More) reflection. This activity is from the NuSTAR Educators Guide: X-Rays on Earth and from Space, which focuses on the science and engineering design of NASA's NuSTAR mission. The guide includes a standards matrix, assessment rubrics, instructor background materials, and student handouts. (View Less)

NuSTAR has a 10-meter rigid mast that separates the optics from the detector. Inspired by this, students will design, test, and build a lightweight mast 1 meter tall that can fully support the weight of a typical hardcover textbook (~2 kg). The... (View More) footprint of the mast must be no larger than 11" x 14". This activity is from the NuSTAR Educators Guide: X-Rays on Earth and from Space, which focuses on the science and engineering design of NASA's NuSTAR mission. The guide includes a standards matrix, assessment rubrics, instructor background materials, and student handouts. (View Less)

This collection of math problems is based on a weekly series of space and Earth science problems distributed to teachers during the 2013-2014 school year. The problems were intended for students looking for additional challenges in the math and... (View More) physical science curriculum and were created to be authentic glimpses of modern science and engineering issues, often involving actual research data. Includes information for teachers and answer key. (View Less)

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 is an online set of information about astronomical alignments of ancient structures and buildings. Learners will read background information about the alignments to the Sun in such structures as the Great Pyramid, Chichen Itza, and others.... (View More) Next, the site contains 10 short problem sets that involve a variety of math skills, including determining the scale of a photo, measuring and drawing angles, plotting data on a graph, and creating an equation to match a set of data. Each set of problems is contained on one page and all of the sets utilize real-world problems relating to astronomical alignments of ancient structures. Each problem set is flexible and can be used on its own, together with other sets, or together with related lessons and materials selected by the educator. This was originally included as a folder insert for the 2010 Sun-Earth Day. (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 math problem determines the areas of simple and complex planar figures using measurement of mass and proportional constructs. Materials are inexpensive or easily found (poster board, scissors, ruler, sharp pencil, right angle), but also... (View More) requires use of an analytical balance (suggestions are provided for working with less precise weighing tools). 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)

Math skills are applied throughout this investigation of windows. Starting with basic window shapes, students determine area and complete a cost analysis, then do the same for windows of unconventional shapes. Students will examine photographs taken... (View More) by astronauts through windows on the Space Shuttle and International Space Station to explore the inverse relationship between lens size and area covered. This lesson is part of the Expedition Earth and Beyond Education Program. (View Less)

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)