1. MovementandExploration 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

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 1 st 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 1543 Exploration of the Earths movement –Earth revolves on own axis –From west to east ( 24 hours ) –Sun, moon, and stars appear to move in the sky How did this affect space exploration?

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. How did this drawing help study movement in science? (The Man in Action)" The Vetruvian Man

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

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?

21. 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.

22. 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. Fibonaccis Golden Ratio

23. Fibonnacii Click the link http://www.world-mysteries.com/sci_17_hand.gif Fibonaccis Golden Ratio

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

25. 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 fruitlets of a pineapple, the flowering of artichoke, an uncurling fern and the arrangement of a pine cone. Why?

26. ……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. The Golden Ratio

27. 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).

28. http://www- bioc.rice.edu/precollege/galbay/galbay99/t eachers/fibonacci/index.htmlhttp://www- bioc.rice.edu/precollege/galbay/galbay99/t eachers/fibonacci/index.html Fibonacci Web-Quest

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

30. 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"). Try This……..

31. 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?

32. Scan doc and place in here. The Importance of Math Symbols