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**Earth and space science**

**Mathematics**

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This is a collection of mathematics problems relating to the moons of the solar system. Learners will use simple proportional relationships and work with fractions to study the relative sizes of the larger moons in our solar system, and explore how... (View More) temperatures change from place to place using the Celsius and Kelvin scales. (View Less)

In these math problems, students will examine the characteristics of water droplets in clouds.

This is a set of three, one-page problems about the scale of objects in images returned by spacecraft. Learners will measure scaled drawings using high-resolution images of the lunar and martian surfaces. Options are presented so that students may... (View More) learn about the Lunar Reconnaissance Orbiter (LRO) mission through a NASA press release or by viewing a NASA eClips video [4 min.]. This activity is part of the Space Math multi-media modules that integrate NASA press releases, NASA archival video, and mathematics problems targeted at specific math standards commonly encountered in middle school. (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)

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 an activity about the period of the Sun’s rotation. Learners will select images of the Sun from the SOHO spacecraft image archive. Next, they will calculate an image scale for the selected solar images. Then, they will use it to help... (View More) determine the actual speed of sunspots based on measurements of their motion in the selected Sun images and, finally, determine the period of the Sun's rotation. This activity requires access to the internet to obtain images from the SOHO image archive. This is Activity 3 of the Space Weather Forecast curriculum. (View Less)

In this problem set, learners will calculate the parts-per-hundred measure for different scenarios. Answer key is provided. This is part of Earth Math: A Brief Mathematical Guide to Earth Science and Climate Change.

This problem set is about scale. Using a ruler, learners will measure the distance between two points on a satellite image and determine the scale of the image and other information to answer a series of questions. Answer key is provided. This is... (View More) part of Earth Math: A Brief Mathematical Guide to Earth Science and Climate Change. (View Less)

This is an activity about measurement. Learners will label key points and features on a rectangular equal-area map and measure the distance between pairs of points in order to calculate the actual physical distance on the Sun that the point pairs... (View More) represent. This is Activity 5 of the Space Weather Forecast curriculum. (View Less)

This is an activity about assessing magnetic activity on the Sun as astronomers do. Learners will select and compare five visible light solar images and identify and label each individual sunspot group. Then, learners will count all possible... (View More) sunspots from each group and use both counts in a standard equation to calculate the Relative Sunspot Number for each respective solar image. This activity requires access to the internet to obtain images from the SOHO image archive. This is Activity 8 of the Space Weather Forecast curriculum. (View Less)