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NASA
Lights on the International Space Station
Groups explore illumination with NASA's Lighting Environment Test Facility (LETF) as a context. Using the TI-Nspire app, groups determine the lux equation that models their simulation. They then use the lux equation to...
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Vectors
High schoolers listen to a lecture and complete a number of problems as they go. There are a variety of examples given and they are guided through the problem solving steps for each of the real-world scenarios regarding the purpose of...
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Ellipses and Kepler's First Law
The class examines graphs in the form r = F(¿¿) in polar coordinates (r, ¿¿), in particular with the circle, ellipse and other conic sections. They determine the nature of an ellipse by studying the role of the semimajor axis and...
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Proportionality, Ratios and Constant Variation
Students use Scion Image to estimate the proportion of space images. In this proportion lesson, students investigate the online site of Image of the Orbitor and relate the dimensions and sizes to known sizes.
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The Way Things Fall
Students see that light and heavy objects fall at the same rate, as established experimentally by Galileo. They see that falling objects, and balls rolling down an incline, tend to accelerate at a constant rate a. Their velocity...
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Kepler And His Laws
Students engage in an overview of the story of Tycho Brahe and Johannes Kepler, and of Kepler's laws. Each of Kepler's laws be studied separately in more detail in later lessons. They examine Kepler's 3rd law.
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The Round Earth And Christopher Colombus
Students engage in a historical review, starting with the existence of the horizon at sea, proceeding to various studies of the Earth's size and shape, and leading to the attempt by Columbus to reach India by sailing westward.
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Kepler's Second Law
Students gain an understanding of Kepler's 2nd law--that planets (and satellites) move fastest at their closest approach to the center of attraction, and slow down when far away. They explore the concepts of "potential energy" and...
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Ellipses And Kepler's First Law
Students explain that planets actually orbit the center of gravity of the solar system, and that distant planets may be detected by motions of their central star around the centers of gravity of their planetary systems.
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Graphs And Ellipses
High schoolers become acquainted with linear graphs, the parabola and the rectangular hyperbola. Also prepare tables of paired values as preparation for plotting a line. They study the cartesian equation of an ellipse, with a worked...
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How Distant is the Moon?--2
High schoolers examine total eclipses of the Sun and their limited regions of totality. They explain that this limited view occurs because the Moon is close enough to us for different points on Earth to view it differently.
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How Distant Is The Moon?
High schoolers discover how Aristarchus, a Greek astronomer around 230 BC, used a simple observation of the eclipse of the Moon, plus clever reasoning, to deduce the distance of the Moon. They practice the same calculation technique.
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Parallax
Students discover how astronomers used the diameter of the Earth's orbit around the Sun as a baseline for estimating the distance of some stars, and the meaning of "Parsec" and "light year."
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Coordinates
Students use cartesian coordinates (x,y,z) in 3-dimensional space. [Optional: appreciate there exist two ways of defining the z axis, and which of them is used.] They become familiar with the tools and terms used by surveyors.
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Navigation
High schoolers study the basic methods for finding one's position on Earth. Latitude can be deduced from the height above the horizon of the pole star or of the noontime Sun, while longitude requires an accurate clock giving universal time.
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Graphs and Ellipses
Students explore linear graphs, the parabola and the rectangular hyperbola.
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Kepler's Third Law
Students use Kepler's third law to derive the velocity in a circular orbit of any radius, and identify the Earth escape velocity.