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Mathematics Skill or Topic Area: Translating Between Tables and Expressions |
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Next Gen Science Standards: PS1: Matter and Its Interactions; PS3: Energy; ESS1: Earth’s Place in the Universe; ETS2: Links Among Engineering, Technology, Science, and Society Common Core ELA for Science: RST.6-8.2. Determine the central ideas or conclusions of a text; provide an accurate summary of the text distinct from prior knowledge or opinions. RST.6-8.8. Distinguish among facts, reasoned judgment based on research findings, and speculation in a text. RST.6-8.9. Compare and contrast the information gained from experiments, simulations, video, or multimedia sources with that gained from reading a text on the same topic. Common Core Math Standard: CC.6.EE.2: Write, read, and evaluate expressions in which letters stand for numbers. |
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Video Engagement: Chandra-Exploring the Invisible Universe Learn why NASA put the Chandra X-Ray Observatory far away from Earth's atmosphere to capture images of the x-rays given off by objects under certain violent conditions. Scientists use those images to learn about our universe (5 minutes). View Program |
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Explore
math connections with SpaceMath@NASA |
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Problem I - Investigating the Mass and Diameter of a Black Hole - Students will interpret data from a table to determine the formula for the diameter of a black hole. Open PDF] Problem II -
Investigating Hot Gases Near a Black Hole -
When gas is cold below 500 Celsius, it can only be detected in the infrared portion of the electromagnetic spectrum. At temperatures
from 3000 C to 10,000 C, it can be seen with the human eye as dull-red, yellow or even blue-white. At even higher temperatures, most of the energy appears as x-rays or even gamma rays.
In this problem, students work with a simple equation that relates the temperature of a gas entering a black hole to its color and wavelength.
[Open
PDF]
Explain
your thinking: Write
your own problem - Using information
found in the Math Connection problems, the press release or the video
program, create your own math problem. Explain why you set the problem up this
way, and how you might find its answer.
Evaluate
your understanding: Challenge Problem: Exploring Hot Gases Near a Black Hole
- As gas flows into a black hole, friction heats up the gas to thousands or even millions of degrees. During the brief time that this super-hot gas is outside
the black hole, we can see the light from this gas and study it to learn about the environment of a black hole. The temperature of the gas gets hotter and hotter the closer to the black hole that the gas falls.
In this problem, students explore
the temperature of the gas at different distances from a black hole.
[Open
PDF]
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NASA / JPL 3-D Solar System |
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Extend your new knowledge - Using the EOSS simulator, explore the orbit of the Chandra Observatory. [ Open PDF ] |
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