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Movement a nd Exploration

Movement a nd Exploration. Lessons 3-4. Scientists and Mathematicians…. who have inspired, communicated, and transformed their creativity to change our world. Flow Map-Complete the following flow map about scientists. Science. Scientists- Lesson 3.

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Movement a nd Exploration

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  1. Movement and Exploration Lessons 3-4

  2. Scientists and Mathematicians…. who have inspired, communicated, and transformed their creativity to change our world.

  3. Flow Map-Complete the following flow map about scientists

  4. Science

  5. Scientists-Lesson 3 How have these creative people moved and explored ideas in science?

  6. Johan Gutenberg and Printing • 1456 • Created the printing press • Used movable type • 1st printed the Bible Tell how the printing press has changed over the centuries.

  7. Eyeglasses • First eyeglasses in the 1200s • By Mid 1400s the discovery of printing books, etc. increased the demand for the eyeglasses Cause/Effect--- Why were eyeglasses created? How do you think this invention lead to other movements in science?

  8. Copernicus How did this affect space exploration? • 1543 • Exploration of the Earth’s movement • Earth revolves on own axis • From west to east (24 hours) • Sun, moon, and stars appear to move in the sky

  9. Sketches of Aircraft parachute Aero plane

  10. Leonardo da Vinci and Aircraft • 1480 • Inventor and designer • Made sketches of unusual objects • Materials not available to bring sketches to life How do these sketches show movement in science? Exploration?

  11. Human Body and Science • 1485-1490 • Leonardo da Vinci and Michelangelo studied the human body to better replicate it through their artwork. The Vetruvian Man How did this drawing help study movement in science? “ (The Man in Action)"

  12. Clocks How has my creative invention shown movement over time? • 1581 • Pendulum-enabled a better regulator for constant movement of the hands or bell of a clock • Water clocks • Hourglasses Why was this an important inventions? Galileo Galilei

  13. Lenses • 1608----Hans Lippershe • Placed lenses together to magnify the image • Used as a military device What exploration was taking place?

  14. Spyglass---Telescope • 1609 • Device that made distant objects near • Allowed for many more astronomical discoveries Explain why you think Spyglass was a good name for this invention.

  15. Funny--Humor

  16. Microscopes-Biology • Mid-1660s • Many tiny lenses to magnify • Viewed pond water, plant material, even gunk scraped off his teeth How did microscopes allow exploration of our living world?

  17. Your Turn • Research one of the following invention. • How did this invention create movement and exploration in science or mathematics? • Map Projection • Adding Machine • Air Pump • Barometer • Thermometer • Watch • Slide Rule • Reflecting Telescope • Pressure cooker • Calculating Machine

  18. Circle Map My Invention Research _________ How did this invention show movement and exploration in science and mathematics?

  19. Mathematicians- Lesson 4 How have these creative people moved and explored ideas in mathematics?

  20. Fibonacci • 1202-Introduced Hindu-Arabic number system into Europe • the positional system we use today - based on ten digits with its decimal point and a symbol for zero • 1 2 3 4 5 6 7 8 9 0 • Order of ordinals matters My exploration of numbers showed patterns in nature.

  21. Fibonacci’s Golden Ratio • In mathematics and the arts, two quantities are in the golden ratio if the ratio between the sum of those quantities and the larger one is the same as the ratio between the larger one and the smaller.

  22. Fibonnacii Fibonacci’s Golden Ratio Click the link http://www.world-mysteries.com/sci_17_hand.gif

  23. Fib Fibonacci in Nature • Sunflowers • Bracts of a pinecone • Petals of a flower How does this pattern affect the way we look at our natural world? http://www.world-mysteries.com/sci_17.htm

  24. Why? • It is quite amazing that the Fibonacci number patterns occur so frequently in nature( flowers, shells, plants, leaves, to name a few) that this phenomenon appears to be one of the principal "laws of nature". Fibonacci sequences appear in biological settings, in two consecutive Fibonacci numbers, such as branching in trees, arrangement of leaves on a stem, the fruit lets of a pineapple, the flowering of artichoke, an uncurling fern and the arrangement of a pine cone.

  25. The Golden Ratio • ……is a universal law in which is contained the ground-principle of all formative striving for beauty and completeness in the realms of both nature and art, and which permeates, as a paramount spiritual ideal, all structures, forms and proportions, whether cosmic or individual, organic or inorganic, acoustic or optical; which finds its fullest realization, however, in the human form.

  26. Fun with Fibonacci • The sequence, in which each number is the sum of the two preceding numbers is known as the Fibonacci series: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181,...  (each number is the sum of the previous two).

  27. Fibonacci Web-Quest • http://www-bioc.rice.edu/precollege/galbay/galbay99/teachers/fibonacci/index.html

  28. Blaise Pascal • Age 12 Discovered the sum of the angles of a triangle are two right angles(90+90=180) • 1642--Invented calculator

  29. Try This…….. • To build the triangle, start with "1" at the top, then continue placing numbers below it in a triangular pattern. Each number is just the two numbers above it added together (except for the edges, which are all "1").

  30. Pascal's Triangle

  31. View Videos • View videos : • Examining Fibonacci Sequence • Finding Number in Sequence • Investigating Pascal’s Triangle • http://mycontent.discoveryeducation.com/

  32. Math Symbols • 1537 • Giel Vander Hoecke • Used Signs to help develop mathematics as we know it today Why do you think no modifications have been made to math symbols?

  33. The Importance of Math Symbols

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