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**Earth and space science**

**Mathematics**

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Students explore how mathematical descriptions of the physical environment can be fine-tuned through testing using data. In this activity, student teams obtain satellite data measuring the Earth's albedo, and then input this data into a... (View More) spreadsheet-based radiation balance model, GEEBITT. They validate their results against published the published albedo value of the Earth, and conduct similar comparisons Mercury, Venus and Mars. The resource includes an Excel spreadsheet tutorial, an investigation, student data sheets and a teacher's guide. Students apply their understanding to the real life problem of urban heat islands and deforestation. The activity links builds on student outcomes from activities A and B: "Finding a Mathematical Description of a Physical Relationship," and "Making a Simple Mathematical Model." This is Activity C in module 3, Using Mathematical Models to Investigate Planetary Habitability, of the resource, Earth Climate Course: What Determines a Planet's Climate? The course aims to help students to develop an understanding of our environment as a system of human and natural processes that result in changes that occur over various space and time scales. (View Less)

This is a resource that explains the rationale behind the multiple time zone divisions in the United States. Learners will work through a problem set to practice calculating the time in one time zone, given the time in another time zone. This is... (View More) activity 9 from the educator guide, Exploring Magnetism: Magnetic Mysteries of the Aurora. (View Less)

This is an activity about vectors and velocity. It outlines the addition and subtraction of vectors, and introduces the application of trigonometry to describing vectors. The resource is designed to support student analysis of THEMIS (Time History... (View More) of Events and Macroscale Interactions during Substorms) Magnetometer line-plot data. Learners will complete worksheets consisting of problem sets that allow them to work with vector data in magnetic fields. This is activity 15 from Exploring Magnetism: Earth's Magnetic Personality. (View Less)

This is an activity about the declining strength of Earth's magnetic field. Learners will review a graph of magnetic field intensity and calculate the amount by which the field has changed its intensity in the last century, the rate of change of its... (View More) intensity, and when the field should decrease to zero strength at the current rate of change. Learners will also use evidence from relevant sources to create a conjecture on the effects on Earth of a vanished magnetic field. Access to information sources about Earth's magnetic field strength is needed for this activity. This is Activity 7 in the Exploring Magnetism on Earth teachers guide. (View Less)

# Modeling Hot and Cold Planets: Activity C Approximating the Average Surface Temperature of the Earth

In this activity, students explore the importance of adequate sampling strategies when conducting a scientific investigation. They are tasked with determining the average temperature of the Earth, using data sets easily found on the Internet, and... (View More) determine the kind and size of sample necessary to calculate a representative average. The resource includes a student data sheet and an authentic assessment for the module, where students discuss the establishment of a habitation site on Mars. This is Activity C in module 2, titled "Modeling Hot and Cold Planets," of the resource, Earth Climate Course: What Determines a Planet's Climate? The course aims to help students to develop an understanding of our environment as a system of human and natural processes that result in changes that occur over various space and time scales. (View Less)

In this activity, student teams learn about research design and design a controlled experiment exploring the relationship between a hypothetical planet, an energy source, and distance. They analyze the data and derive an equation to describe the... (View More) observations. Includes student data sheets, a teacher's guide, and a tutorial on how to use the spreadsheet program Excel. This is Activity A in module 3, titled "Using Mathematic Models to Investigate Planetary Habitability," of the resource, Earth Climate Course: What Determines a Planet's Climate? The course aims to help students to develop an understanding of our environment as a system of human and natural processes that result in changes that occur over various space and time scales. (View Less)

This activity is about planetary climate. Once familiar with the factors that determine a planet's surface temperature, learners will use an interactive spreadsheet model of a planet's atmosphere to determine if greenhouse gases, luminosity of the... (View More) source, the distance of the planet from the source and the albedo of the planet can be manipulated so that the average surface temperature on Mars or Venus could support human life. Learners will then be asked to make some conclusions about these methods and suggest improvements for the spreadsheet model (see related resources for link to this model). The activity requires use of Microsoft Excel software. This is Activity D in the fourth module, titled "How do Atmospheres Affect Planetary Temperatures?," of "Earth Climate Course: What Determines a Planet's Climate?." (View Less)

This is an activity about the movement, or "wandering," of our Earth's magnetic poles. The learner will explore this concept by measuring and calculating the distance the Earth's north magnetic pole has moved over the past 400 years and calculating... (View More) the rate at which the magnetic pole location has changed its position during that time. Finally, learners will use this information to extrapolate how the region for viewing aurorae may change over the next century at the present rate of polar wander. This is Activity 6 in the Exploring Magnetism on Earth teachers guide. (View Less)

This is a booklet containing 24 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 solar storms, solar energy, coronal mass ejections, and doppler shift, among others. (View Less)

This activity lets students measure distances in the classroom using parallax. The exercise can be done either at a high school level using trigonometric functions, or at a middle school level using simple arithmetic approximations to the... (View More) trigonometric functions. A work sheet is provided for the middle-school-level activity.The 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)