PPT-SOME FIBONACCI SURPRISES

The Power of Visualization James Tanton MAA MathematicianatLarge t antonmathgmailcom Curriculum Inspirations wwwmaaorgci Mathematical Stuff wwwjamestantoncom Mathematical Courses . By Andréa . Rivard. Leonardo Fibonacci . Born in Italy c.1170. Arabic numerals, algorithms and algebraic methods, and a facility in fractions. Fibonacci Sequence. Discovered it by studying rabbit . regeneration. Ecclesiastes 12:14 . (NKJV). . 14 . For God will bring every work into judgment, Including every secret thing, Whether good or evil. . Judgment Day Surprises. Ecclesiastes 12:13-14 (NKJV) . 13 . Let us hear the conclusion of the whole matter: Fear God and keep His commandments, For this is man's all. . Numbers. Damian Gordon. Fibonacci . Numbers. Fibonacci . Numbers. As seen in the Da Vinci Code:. Fibonacci . Numbers. The . Fibonacci . numbers are numbers where the next number in the sequence is the sum of the previous two.. The Power of Visualization. James . Tanton. MAA Mathematician-at-Large. t. anton.math@gmail.com. . Curriculum Inspirations: . www.maa.org/ci. Mathematical Stuff: . www.jamestanton.com. Mathematical Courses: . Have Become More Frequent. Evan Sherwin. With . Inês. . Azevedo. & Max . Henrion. . Carnegie Mellon University . Funding:. Goals. The goals of this work are to: . characterize what constitutes a . Emma Stephens, Charlotte Evans, Kenneth Mcilree, Lisa Yuan. What are the Fibonacci numbers?. The Fibonacci sequence is a recursively defined sequence where,. F. 1 . = 1 and F. 2 . = 1 . What are the Fibonacci numbers?. The Fibonacci sequence is a recursively defined sequence where,. F. 1 . = 1 and F. 2 . = 1 . F. n . = F. n-1. F. n-2 . where n>2. {1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144,...}. Alannah McGregor. Gudrun Mackness. Brittany Kozak. Background Information. Grades 6-7. Mathematics: patterning and algebra. Time frame: 30 min. Lesson environment. Inquiry-based exploration. Exploration of a complex number pattern that results in a sequence that is found in nature and has been translated into art. 1175 – 1250 AD. Best remembered for a problem he posed in Liber Abaci dealing with RABBITS!. The Rabbit Problem. At 2 months, the rabbits can reproduce a pair of bunnies. . How many pairs at k months?. Math 2700. Spring 2010. History of the Fibonacci Sequence. From . Fibonacci’s. . Liber. Abaci. , Chapter 12. . How Many Pairs of Rabbits Are Created by One Pair in One Year. . . A certain man had one pair of rabbits together in a certain enclosed place, and one wishes to know how many are created from the pair in one year when it is the nature of them in a single month to bear another pair, and in the second month those born to bear also.. Math 2700. Spring 2010. History of the Fibonacci Sequence. From . Fibonacci’s. . Liber. Abaci. , Chapter 12. . How Many Pairs of Rabbits Are Created by One Pair in One Year. . . A certain man had one pair of rabbits together in a certain enclosed place, and one wishes to know how many are created from the pair in one year when it is the nature of them in a single month to bear another pair, and in the second month those born to bear also.. recurrences. Lecture 27. CS2110 – Fall 2018. Fibonacci. (Leonardo Pisano) 1170-1240?. Statue in Pisa Italy. Announcements. A7: NO LATE DAYS. No need to put in time and comments. We have to grade quickly. No regrade requests for A7. Grade based only on your score on a bunch of sewer systems.. recurrences. Lecture 27. CS2110 – Fall 2018. Fibonacci. (Leonardo Pisano) 1170-1240?. Statue in Pisa Italy. Announcements. A7: NO LATE DAYS. No need to put in time and comments. We have to grade quickly. No regrade requests for A7. Grade based only on your score on a bunch of sewer systems.. 9291any event that you146ve shared with others a speech a movie a current eventa major problem and ask your colleagues and friends to describe theirinterpretation of that event I think you146ll be am