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Pascals Triangle
Pascals Triangle
Pascals Triangle
Pascals Triangle
Pascals Triangle
Pascals Triangle
Pascals Triangle
Pascals Triangle
Pascals Triangle
Pascals Triangle
Pascals Triangle
Pascals Triangle
Pascals Triangle
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Pascals Triangle

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Pascals Triangle is really cool! …

Pascals Triangle is really cool!
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  • 1.  Pascal’s triangle was originally developed by the Chinese  Blaise Pascal was the first to actually realize the importance of it and it was named after him  Pascal's triangle is a math triangle that can be used for many things.  Pascal's Triangle is used in algebra and probability  Pascal's triangle is the way to use an amount out of numbers in a divisible way  To solve Pascal's ways you have too add the two numbers that are next to each other shown in the diagram on next slide.
  • 2.  Hockey Stick Pattern- The hockey stick pattern is when you can start at any number 1 that borders Pascal’s triangle and make a diagonal of any size to the right or left. Then go one additional hexagon to the opposite of your diagonal. The sum of the diagonal should equal the ending hexagon.  Prime Numbers-When the first number of the hockey stick is 1 then the second number will be divisible of the rest of the hockey stick. The 1 is a Prime number but, this makes the rest of the numbers divisible by each other.
  • 3.  Born June 19, 1623 and died on August 19, 1662 at the age of 39.  He was a French mathematician, Physicist, and religious philosopher.  Discovered the importance of the Pascal’s triangle. It happened in 1653  Invented one of the first mechanical calculators.  He was educated by his father.  In 1659 he came down with an illness that cost his life.  We use the pascal’s triangle in math such as Geometry.
  • 4.  The Catalan numbers express the number of ways that a polygon with N sides can be divided into triangles.  Diagonals that are drawn are not allowed to intersect.  The rule for Catalan Numbers is--------  Some Catalan Numbers include 1, 2, 5, 14, 42, 132…  Catalan Numbers can be found in Pascal’s triangle.  Pascal’s Triangle and Catalan Numbers are related to each other.
  • 5.  Pascal’s Triangle-The way to use an amount out of numbers in a divisible way.  Catalan Numbers-How polygons can be divided into a number of triangles.  Geometry-The study of shapes and angles.  Probability-The number used too describe the chance of an event occurring.
  • 6. Complete this Pascal’s triangle and find all of the Catalan numbers. Remember, Pascal’s triangle starts off with a one. Try to find out some hockey stick pattern.
  • 7.  Ptri1.tripod.com  www.mathmuseum.org/mathresearc.html  Mathsisfun.com/pascalstriangle.html  www.gap- system.org/~history/miscellanious/catalann umbers/catalan.html  Oregonstate.edu/instruct/ph1302/philosop hers/pascal.html  www.thocp.net/biographies/pascal- blaise.html

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