SmartBoard Demo Presentation April 27, 2007

So. What Can You Do With a SmartBoard? Introducing ... The Book ... Title: Apr 26-10:30 PM (1 of 13)

Come write your name ... anyone, c'mon give it a try. It won't hurt ... really ... Jennifer Title: Apr 26-11:05 PM (2 of 13)

* A Sample Lesson ... ... before ... ... during ... ... and after ... Title: Apr 27-8:56 AM (3 of 13)

The Binomial Theorem or "one of the ways G-d built the universe" ... Zhu Shijiei 1261 Pascal 1653 Title: Apr 27-8:51 AM (4 of 13)

ANNOTATE THIS Title: Apr 27-3:01 PM (5 of 13)

Expand and simplify ... a+b Title: Apr 27-8:52 AM (6 of 13)

Find a pattern, add two more rows to the triangle ... 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 Title: Apr 27-8:52 AM (7 of 13)

Evaluate each term ... Title: Apr 27-8:52 AM (8 of 13)

Pascal's Triangle How many different patterns can you find in the triangle? SYMMETRY Counting Numbers Sum of COUNTING numbers triangular numbers Sum of Triangular numbers Title: Apr 27-8:52 AM (9 of 13)

Pascal's Triangle How many different patterns can you find in the triangle? Title: Apr 27-8:52 AM (10 of 13)

Pascal's Triangle How many different patterns can you find in the triangle? Title: Apr 27-8:53 AM (11 of 13)

Title: Apr 27-8:53 AM (12 of 13)

The Binomial Theorem ... Algebraically Combinatorically Notice the patterns ... (1) The coefficient of the term is: (2) The exponent on a is given by: [n - (i - 1)] (3) The exponent on b is given by: i (4) This relation holds for each term in the expansion: [exponent on a] + [exponent on b] = n (5) The number of terms in any binomial expansion is: n + 1 Title: Apr 27-8:53 AM (13 of 13)

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SmartBoard Demo Presentation April 27, 2007

by Darren Kuropatwa on May 01, 2007

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SmartBoard Demo Presentation April 27, 2007 — Presentation Transcript