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Exploring the Earth's Magnetic Field: #14 The Mathematics of the Simple Oscillator
Topic: Math
Body: Earth
Mission: Earth Science (Earth)

Short Description: This lesson is for the calculus or honors physics student. The mathematics of the "simple magnetometer" are further explored to see how the systems of it work.

Finding the Distance to the Sun
Topic: Math
Body: Sun

Short Description: The students will apply the concepts of vertical angles and ratios to calculate lengths and angles. Can they determine the distance to the sun?

Topic: Math
Body: Venus

Short Description: Participants demonstrate and experience the way remote objects or sites can be accurately located by triangulation.

Solar System Math (Main Portal)
Topic: Math
Body: Our Solar System

Short Description: "Solar System Math" is a series of four classroom lessons centered on pre-algebra topics such as measurement, unit conversion, ratio and proportion, scale, data analysis, and data representation. The downloadable software application, "What's the Difference," supports the lessons with engaging multimedia that accurately illustrates the size, distance and composition of the bodies in our solar system.

Short Description: "Solar System Math" is a series of four classroom lessons centered on pre-algebra topics such as measurement, unit conversion, ratio and proportion, scale, data analysis, and data representation. The downloadable software application, "What's the Difference," supports the lessons with engaging multimedia that accurately illustrates the size, distance and composition of the bodies in our solar system.

Solar System Math -- Lesson 1: Comparing Size and Distance (Student Workbook)
Topic: Math
Body: Our Solar System

Short Description: "Solar System Math" is a series of four classroom lessons centered on pre-algebra topics such as measurement, unit conversion, ratio and proportion, scale, data analysis, and data representation. The downloadable software application, "What's the Difference," supports the lessons with engaging multimedia that accurately illustrates the size, distance and composition of the bodies in our solar system.

Solar System Math -- Lesson 1: Comparing Size and Distance (Teacher Guide)
Topic: Math
Body: Our Solar System

Short Description: "Solar System Math" is a series of four classroom lessons centered on pre-algebra topics such as measurement, unit conversion, ratio and proportion, scale, data analysis, and data representation. The downloadable software application, "What's the Difference," supports the lessons with engaging multimedia that accurately illustrates the size, distance and composition of the bodies in our solar system.

Solar System Math -- Lesson 1: Comparing Size and Distance (Workbook Answer Guide)
Topic: Math
Body: Our Solar System

Short Description: "Solar System Math" is a series of four classroom lessons centered on pre-algebra topics such as measurement, unit conversion, ratio and proportion, scale, data analysis, and data representation. The downloadable software application, "What's the Difference," supports the lessons with engaging multimedia that accurately illustrates the size, distance and composition of the bodies in our solar system.

Short Description: "Solar System Math" is a series of four classroom lessons centered on pre-algebra topics such as measurement, unit conversion, ratio and proportion, scale, data analysis, and data representation. The downloadable software application, "What's the Difference," supports the lessons with engaging multimedia that accurately illustrates the size, distance and composition of the bodies in our solar system.

Short Description: "Solar System Math" is a series of four classroom lessons centered on pre-algebra topics such as measurement, unit conversion, ratio and proportion, scale, data analysis, and data representation. The downloadable software application, "What's the Difference," supports the lessons with engaging multimedia that accurately illustrates the size, distance and composition of the bodies in our solar system.

Short Description: "Solar System Math" is a series of four classroom lessons centered on pre-algebra topics such as measurement, unit conversion, ratio and proportion, scale, data analysis, and data representation. The downloadable software application, "What's the Difference," supports the lessons with engaging multimedia that accurately illustrates the size, distance and composition of the bodies in our solar system.

Short Description: "Solar System Math" is a series of four classroom lessons centered on pre-algebra topics such as measurement, unit conversion, ratio and proportion, scale, data analysis, and data representation. The downloadable software application, "What's the Difference," supports the lessons with engaging multimedia that accurately illustrates the size, distance and composition of the bodies in our solar system.

Solar System Math -- Lesson 3: Comparing Planetary Travel Distances (Teacher Guide)
Topic: Math
Body: Our Solar System

Short Description: "Solar System Math" is a series of four classroom lessons centered on pre-algebra topics such as measurement, unit conversion, ratio and proportion, scale, data analysis, and data representation. The downloadable software application, "What's the Difference," supports the lessons with engaging multimedia that accurately illustrates the size, distance and composition of the bodies in our solar system.

Short Description: "Solar System Math" is a series of four classroom lessons centered on pre-algebra topics such as measurement, unit conversion, ratio and proportion, scale, data analysis, and data representation. The downloadable software application, "What's the Difference," supports the lessons with engaging multimedia that accurately illustrates the size, distance and composition of the bodies in our solar system.

Solar System Math -- Lesson 4: Analyzing Payload Size and Cost (Student Workbook)
Topic: Math
Body: Our Solar System

Short Description: "Solar System Math" is a series of four classroom lessons centered on pre-algebra topics such as measurement, unit conversion, ratio and proportion, scale, data analysis, and data representation. The downloadable software application, "What's the Difference," supports the lessons with engaging multimedia that accurately illustrates the size, distance and composition of the bodies in our solar system.

Solar System Math -- Lesson 4: Analyzing Payload Size and Cost (Teacher Guide)
Topic: Math
Body: Our Solar System

Short Description: "Solar System Math" is a series of four classroom lessons centered on pre-algebra topics such as measurement, unit conversion, ratio and proportion, scale, data analysis, and data representation. The downloadable software application, "What's the Difference," supports the lessons with engaging multimedia that accurately illustrates the size, distance and composition of the bodies in our solar system.

Short Description: "Solar System Math" is a series of four classroom lessons centered on pre-algebra topics such as measurement, unit conversion, ratio and proportion, scale, data analysis, and data representation. The downloadable software application, "What's the Difference," supports the lessons with engaging multimedia that accurately illustrates the size, distance and composition of the bodies in our solar system.

Solar System Math Resources (Educator Guide)
Topic: Math
Body: Our Solar System

Short Description: "Solar System Math" is a series of four classroom lessons centered on pre-algebra topics such as measurement, unit conversion, ratio and proportion, scale, data analysis, and data representation. The downloadable software application, "What's the Difference," supports the lessons with engaging multimedia that accurately illustrates the size, distance and composition of the bodies in our solar system.

Solar System Math Resources (Unit Overview, jpg)
Topic: Math
Body: Our Solar System

Short Description: "Solar System Math" is a series of four classroom lessons centered on pre-algebra topics such as measurement, unit conversion, ratio and proportion, scale, data analysis, and data representation. The downloadable software application, "What's the Difference," supports the lessons with engaging multimedia that accurately illustrates the size, distance and composition of the bodies in our solar system.

Space Math: Carbon Dioxide Increases
Topic: Math

Short Description: Students study the Keeling Curve to determine the rates of increase of carbon dioxide in the atmosphere.

Space Math: Close Encounters of the Asteroid Kind!
Topic: Math
Body: Asteroids

Short Description: On September 8, 2010 two small asteroids came within 80,000 km of Earth. Their small size of only 15 m made them very hard to see without telescopes pointed in exactly the right direction at the right time. In this problem, based on a NASA press release, students use a simple formula to calculate the brightness of these asteroids from their distance and size.

Space Math: Craters are a Blast!
Topic: Math

Short Description: Students measure crater diameters in a photo of the Moon, and determine the energy required to create them using a simple quadratic equation.

Space Math: Discovering Earth-like Worlds by their Color
Topic: Math

Short Description: Students use recent measurements of the reflected light from solar system bodies to graph their colors and to use this in classifying new planets as Earth-like, moon-like or Jupiter-like.

Space Math: Estimating the Temperatures of Exoplanets
Topic: Math

Short Description: Students review the basic properties of ellipses by exploring the orbits of newly-discovered planets orbiting other stars. They also use a simple formula to determine the temperatures of the planets from their orbits.

Space Math: Exoplanet Orbits and the Properties of Ellipses
Topic: Math

Short Description: Given the formula for the orbits of newly-discovered planets, students determine the basic properties of the elliptical orbits for the planets.

Space Math: Exponential Functions and Atmospheric 'Scale Heights'
Topic: Math

Short Description: A study of the way a planet's atmosphere changes as its temperature is changed using exponential functions.

Space Math: Hubble: The Changing Atmosphere of Pluto
Topic: Math
Body: Kuiper Belt & Oort Cloud

Short Description: Based on a recent press release, students determine the aphelion and perihelion of Pluto's elliptical orbit using the properties of ellipses, then calculate the temperature of Pluto at these distances to estimate the thickness of Pluto's atmosphere and its changes during its orbit around the sun.

Space Math: Ice on Mercury?
Topic: Math
Body: Mercury
Mission: MESSENGER (Mercury)

Short Description: Since the 1990's, radio astronomers have mapped Mercury. An outstanding curiosity is that in the polar regions, some craters appear to have "anomalous reflectivity" in the shadowed areas of these craters. One interpretation is that this is caused by sub-surface ice. In this activity, students will measure the surface areas of these potential ice deposits and calculate the volume of water that they imply.

Space Math: Kepler -- Earth-like Planets by the Score! (Part 1)
Topic: Math

Short Description: Students use recent Kepler satellite data summarized in tabular form to estimate the number of planets in the Milky Way galaxy that are about the same size as our Earth, and located in their habitable zones were liquid water may exist.

Space Math: Kepler -- Earth-like Planets by the Score! (Part 2)
Topic: Math

Short Description: Students use recent Kepler satellite data summarized in tabular form to estimate the number of planets in the Milky Way galaxy that are about the same size as our Earth, and located in their habitable zones were liquid water may exist.

Space Math: Kepler Spies Five New Planets
Topic: Math

Short Description: Students count squares on a Bizarro Star to study the transit of a planet, and determine the diameter of the planet. This demonstrates the basic principle used by NASA's Kepler satellite to search for Earth-sized planets orbiting distant stars.

Space Math: LRO Makes a Temperature Map of the Lunar South Pole
Topic: Math
Body: Earth's Moon
Mission: Lunar Recon Orbiter (Earth's Moon)

Short Description: Students use the published LRO temperature map to study the scale of the south polar region, the sizes of its craters and estimate the volume of water-ice that may be present in Shackleton Crater.

Space Math: Meteorite Compositions: A matter of density
Topic: Math

Short Description: Astronomers collect meteorites to study the formation of the solar system 4.5 billion years ago. In this problem, students study the composition of a meteorite in terms of its density and mass, and the percentage of iron and olivine to determine the volumes occupied by each ingredient.

Space Math: NASA-funded research discovers life built with toxic chemical
Topic: Math
Body: Earth

Short Description: Students explore the DNA of an organism based on arsenic and not phosphorus.

Space Math: So..How big is it? -- Asteroid Eros surface
Topic: Math
Body: Asteroids
Mission: NEAR Shoemaker (Asteroids)

Short Description: Students calculate the scale of an image of the surface of the asteroid Eros from the NEAR mission, and determine how big rocks and boulders are on its surface.

Space Math: The Dawn Mission -- Ion Rockets and Spiral Orbits
Topic: Math
Body: Asteroids
Mission: Dawn (Dwarf Planets)

Short Description: Students determine the shape of the trajectory taken by a spacecraft using a constant-thrust ion motor using differential and integral calculus for arc lengths.

Space Math: The Earth-like Planet Gliese 518g
Topic: Math

Short Description: Students use data for the Gliese 581 planetary system to draw a scaled model of the locations and sizes of the discovered planets. They also identify the location and span of the Habitable Zone for this planetary system.

Space Math: The Transit of Mercury
Topic: Math
Body: Sun, Mercury
Mission: Heliophysics (Sun)

Short Description: As seen from Earth, the planet Mercury occasionally passes across the face of the sun; an event that astronomers call a transit. From images taken by the Hinode satellite, students will create a model of the solar disk to the same scale as the image, and calculate the distance to the sun.

Space Math: Volcanos are a Blast: Working with Simple Equations
Topic: Math

Short Description: Page 77. Students examine the famous Krakatoa explosion, asteroid impacts on the Moon and geysers on Enceladus using three equations that describe the height of the plume and initial velocity to answer questions about the speed of the debris and terminal height.

SpaceMath: The Goldilocks Planets -- Not Too Hot or Cold
Topic: Math

Short Description: Students use a table of the planets discovered by the Kepler satellite, and estimate the number of planets in our Milky Way galaxy that are about the same size as Earth and located in their Habitable Zones. They estimate the average temperature of the planets, and study their tabulated properties using histograms.

The Oldest Lunar Rocks
Topic: Math
Body: Earth's Moon

Short Description: A list of the ages of the oldest lunar rock samples is grouped into families with about the same average ages to estimate the age of the lunar mare.

Transit Math
Topic: Math