Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. By rearranging the equation below, students can create a formula in the spreadsheet to calculate both scale diameter and distance for the remaining planets. The Saturn is 10.25 meters away. Pluto is not a planet anymore, but I left it on this just so you know where it's at, it's 42 and a half meters away. For example, Mars is 1.5 au from the Sun and Neptune is 30 au from the Sun. Have students open the Scale Distance spreadsheet, or guide them through creating a similar spreadsheet layout. Pictures don’t help much. Students create a scale model of the solar system using beads and string. Have students use various tools (ruler, compass, string, protractor, etc.)
Uranus is about 20. Note: When Earth’s scale diameter equals 1 cm, the scale distance to Neptune will be about 2 miles. Or use a space with known measurements (e.g., a football field or basketball court). Venus is almost a meter, not quite, .8.
It's really far out there from the sun; now, your just, your little tiny small sun. This is your model’s scale value. 1419 0 obj
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Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. Using the decided upon scale diameter of Earth, have students rearrange the equation to solve for the unknown scale distance to the Sun. For example, rearrange Ohm's law V = IR to highlight resistance R. Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers. Repeat steps 7 and 8 for the remaining planets. How does using both scale size and distance in a model differ from a model that uses only scale size or distance? Have students open the Scale Size spreadsheet, or guide them through creating a similar spreadsheet layout. You may choose to have students look up the information on their own and input it into a blank spreadsheet.
Have students create a spreadsheet function that calculates this value. h�b```���� cc`a�8q@��7�rLa�#������V��O�>-```q�x��������=�Qd��+��l�$#y4Z And again, your sun is a centimeter, very very small, approximates centauri would be almost 300 kilometers away.
Analyze and interpret data to determine scale properties of objects in the solar system. Regardless of how old we are, we never stop learning. Although we could print the planet sizes to scale, the paper would need to be way too large to show the scaled distances. Students should enter formulas in the other cells to determine the scale distance to each planet. My name is Eric Loberg, Director of the Taylor Planetarium at the Museum of the Rockies and I was going to model the solar system on a centimeter scale. If students will input size data themselves, have them do that now. Additionally, the ratio of the scale diameter of a planet to its actual diameter is equal to the ratio of its scale distance from the Sun to its actual distance from the Sun. Decide or allow the class to decide how many centimeters will represent one astronomical unit (e.g., 10 cm = 1 au). See the. And so, instead I decided to put the sun, it's one centimeter.
This will give students the scale distance to each planet in centimeters. In the example below, the spreadsheet function calculates the product of the scale diameter of Earth (B5) and the actual diameter of Mars (C6) divided by the actual diameter of Earth (C5) using =(B5*C6)/C5. A scale model – a model with sizes and distances proportionally reduced or enlarged – is a great way to correctly display the size of and distance between planets, giving students a better visual representation of the solar system than they could otherwise get from an image in a book or on a computer. So, if you have your pinkie finger, that's your sun. Students may realize they can copy and paste formulas from cell to cell in spreadsheets. The distance is much larger than the object itself. Planetary data is provided in SI. My name is Eric Loberg with the Taylor Planetarium at the Museum of the Rockies. Data is provided in both Microsoft Excel spreadsheets (XLSX) and comma-separated-value (CSV) files that can be opened in spreadsheets. Students predict the scale of our solar system and the distance between planets, then check their answers using fractions. Using online mapping software, such as Google or Bing maps, right-click on the location that represents the Sun (e.g., middle of the playground) and click “measure distance” to identify where the scale planets should go.
See the. 8) Fold the Sun to the Earth. Kinesthetic Radial Model of the Solar System, Solar System Sizes and Distances reference guide.
Mars is a meter and a half.
Understand ratio concepts and use ratio reasoning to solve problems. Decide in advance if students will calculate scale distance from the Sun to the planets, scale size of planets or both. The ratio of the scale diameter of a planet to its scale distance to the Sun is equal to the ratio of the actual diameter of the planet to the actual distance to the Sun. J. Eric Loberg is the manager, lecturer, and program planner at the Taylor Planetarium at the World, a renowned museum of the Rockies in Bozeman, Montana. Some scale models show just scale distances, some show just scale planet sizes, while some display both. A spreadsheet multiplication formula follows this format: =B3*10, where B3 is the cell with a planet’s au distance and 10 is the scale value. Decide or allow the class to decide on the diameter of Earth in the scale model. Instead, to Centimeter's not very big, we drew one up here and then decided we couldn't do the entire solar system on that scale, you wouldn't be able to see any of the objects. Have students come up with a formula for their spreadsheet to calculate how many centimeters each planet will be from the Sun in the scale model. One au is equal to the average distance between the Sun and Earth, about 150 million kilometers. Some just a few blocks long, but the largest, in Sweden, stretches more than 140 miles! On the Pluto side of the fold, draw a slightly smaller circle and label it Mars. Even traveling at the speed of light, it would take about four hours to get from the Sun to Neptune – a distance of about 2.8 billion miles. B refers to the cell column and 3 refers to the cell row. h�bbd```b``��� �����"�׀E����d��?yV�f���l-0�D��E����Iƍ�@�rk��A@��+$�]�ih�
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Credit: NASA/JPL-Caltech | Watch on YouTube, In this artistic rendering of the planets and other objects in the solar system, the objects are portrayed not-to-scale, apart from their orbits and much closer together than they are in reality. So, here we've modeled the solar system on a centimeter scale. In that case, have students choose a point on the map that is an accurate distance from the Sun at a location that is well known to students (e.g., a park or a neighborhood store). I left this on metrics since we're asking about centimeters.
Have students repeat the process in Step 4, using Earth’s scale diameter, Earth’s actual diameter and each planet’s actual diameter to find the scale diameters of the remaining planets. You'll notice that it's about the same size with my pinkie finger. The formula should multiply the au value by the scale value determined in Step 3. This allows scientists to describe distances using smaller relatable numbers rather than tens of millions, hundreds of millions, or even billions of kilometers. 1482 0 obj
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And from there, we can decide how far everything else is away. Students can color the circles to resemble the planets’ appearances. Represent proportional relationships by equations.
More information about astronomical units can be found in the Background section below. Example not-to-scale images of the solar system, Spreadsheet software (e.g., Excel or Sheets), Distance markers (cones, ground stakes, etc.
© 2020 Leaf Group Ltd. / Leaf Group Media, All Rights Reserved. Just for reference, I put the closest star in here too approximates of the centauri of your closest star. Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
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