content: this in an introduction to the unit on powers of ten. csde standards: 2.1 understand that a...

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Content: This in an introduction to the unit on powers of ten. CSDE Standards: 2.1 Understand that a variety of numerical representations can be used to describe quantitative relationships. 2.2 Use numbers and their properties to compute flexibly and fluently and to reasonably estimate measures and quantities. Materials: Computer and multimedia projector. Lesson: Show this powers of ten powerpoint to the class prior to starting the unit.

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Content:

This in an introduction to the unit on powers of ten.

CSDE Standards:

2.1 Understand that a variety of numerical representations can be used to describe quantitative relationships.

2.2 Use numbers and their properties to compute flexibly and fluently and to reasonably estimate measures and quantities.

Materials:

Computer and multimedia projector.

Lesson: Show this powers of ten powerpoint to the class prior to starting the unit.

Evaluation:

None.

Welcome to Powers of Ten. Travel across the Universe.

Changing scale by just a few powers of ten dramatically alters your perspective.

Mr. Morales

10 0 metres = 1 metre

                                                           

                                             

   

Your journey begins in the garden of the Microcosm visitor centre. This is the scale we know best - our own.

101 metres = 10 metres

102 metres = 100 metres

103 metres = 1 000 metres

                                                            

                                            

  

A bird's eye view of the CERN site with the Microcosm visitor centre in the middle.

104 metres = 10 000 metres

                                                            

                                            

  

This image covers about the same area as CERN's largest accelerator, LEP, the Large Electron Positron collider.

105 metres = 100 000 metres

106 metres = 1 000 000 metres

                                                                           

                             

  

Lake Geneva stands out clearly in this 1 000 kilometre square.

107 metres = 10 000 000 metres

108 metres = 100 000 000 metres

                                                                                        

                

  

Which other planet is the same size as the Earth? Mars ?Venus ?Jupiter ?

                            

                    

  

NO !

Mars is only half the size of the Earth. Its scarred surface is the result of many meteorite impacts in the past.

                            

                    

  

NO!

Jupiter is the biggest planet in the Solar System. 108 m (100 thousand kilometres) across, its red spot alone is bigger than Earth. The spot is a huge storm that has been raging for over 300 years.

                            

                    

  

YES !

Venus is almost the same size as the Earth but completely uninhabitable. A runaway greenhouse effect makes the surface 400 degrees hotter than the Earth.

109 metres = 1 000 000 000 metres

                                                                 

                                       

  

The moon's orbit aound the Earth, the furthest humans have ever travelled

1010 metres = 10 000 000 000 metres

                                                                                                        

   Four days of the Earth's orbit.

1011 metres = 100 000 000 000 metres

                                                   

                                                     

   

Six weeks of the Earth's orbit. The orbits of Venus and Mars are just visible on either side.

1012 metres = 1 000 000 000 000 metres

                                                      

                                                  

  

The orbits of the inner four planets : Mercury, Venus, Earth and Mars. All four have rocky crusts and metallic cores.

                            

                    

  

The solar system. Only the orbit of Pluto, the furthest planet from the sun, is off the picture.

metres 000 000 000 000 01 metres 1013

1014 metres = 100 000 000 000 000 metres

                                                                                        

                

  

Our solar system fades into the background stars. From 1014 m to 1019 m not much changes.

1015 metres = 1 000 000 000 000 000 metres

                                                                                        

                

  

Our solar system fades into the background stars. From 1014 m to 1019 m not much changes.

1016 metres = 10 000 000 000 000 000 metres

                                                                                        

                

  

Our solar system fades into the background stars. From 1014 m to 1019 m not much changes.

1017 metres = 100 000 000 000 000 000 metres

                                                                                        

                

  

Our solar system fades into the background stars. From 1014 m to 1019 m not much changes.

1018 metres = 1 000 000 000 000 000 000 metres

                                                                                        

                

  

Our solar system fades into the background stars. From 1014 m to 1019 m not much changes.

1019 metres = 10 000 000 000 000 000 000 metres

                                                                                        

                

  

Our solar system fades into the background stars. From 1014 m to 1019 m not much changes.

1020 metres = 100 000 000 000 000 000 000 metres

1021 metres = 1 000 000 000 000 000 000 000 metres

                                                    

                                                    

  

Our galaxy looks rather like a whirlpool. It has spiral arms curling outwards from the centre and rotates at about 900 kilometres per hour. How many stars like our sun do you think there are in this image? 102 ?107 ?1011 ?

                      

                          

  

NO!

102 = 100. There are many more stars in our galaxy. This is what 100 stars would look like. �

                                

                

  

There are many more stars than that even in this small part of our galaxy.

1110 710

Stars? No, not nearly enough.

710710710710

710

                            

                    

  

YES!

There are about 1011, 100 000 000 000, stars in our Galaxy. Astronomers don't count them, they calculate how many there are. They compare the light emitted by the entire galaxy to the light emitted by the nearest star, our sun.

1022 metres = 10 000 000 000 000 000 000 000 metres

                                                            

                                            

  

Our galaxy begins to look small. The Magellanic Clouds are two companion galaxies on the left.

1023 metres = 100 000 000 000 000 000 000 000 metres

                                                            

                                            

  

Our galaxy is indistinguishable from the other galaxies in our Local Group. It would take light over 107 (10 million) years to travel across this image. From 1023 m to 1025 m not much changes.

1024 metres = 1 000 000 000 000 000 000 000 000 metres

                                                            

                                            

  

Our galaxy is indistinguishable from the other galaxies in our Local Group. It would take light over 107 (10 million) years to travel across this image. From 1023 m to 1025 m not much changes.

1025 metres = 10 000 000 000 000 000 000 000 000 metres

                                                            

                                            

  

Our galaxy is indistinguishable from the other galaxies in our Local Group. It would take light over 107 (10 million) years to travel across this image. From 1023 m to 1025 m not much changes.

1026 metres = 100 000 000 000 000 000 000 000 000 metres

                                                            

                                            

  

The largest scale picture ever taken. Each of the 9325 points is a galaxy like ours. They clump together in 'superclusters' around great voids which can be 150 million light years across.

This application is based on the film "Powers of Ten" produced by Charles and Ray Eames. http://www.powersof10.com

Picture credits

26 - Margaret J. Geller, John P. Huchra, Luis A. N. da Costa, and Emilio E. Falco, Smithsonian Astrophysical Observatory copyright 1994 23 & 22 - Ray White, Space Telescope Science Institute 21 - ESA 20 - David Malin, Anglo Australian Observatory & Royal Observatory Edinburgh12 - NASA 8 & 7 - Science Photo Library (Earth), NASA (other planets) 6 & 5 - Geosat -5 & -6 - Dr Graham Thomas, Department of Biology, The Pennsylvania State University, USA -8 - Glaxo Institute of Molecular Biology, Switzerland All other images credit CERN

http://microcosm.web.cern.ch/Microcosm/P10/english/welcome.html

References