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 * Aim:** What is meant by the Binomial Theorem? //(This formula is given on your Regents Reference sheet)//

At the end of the lesson, you will be able to...
 * 1) construct the first n rows of Pascal's Triangle
 * 2) apply Pascal's Triangle to determine the coefficients of a binomial expansion
 * 3) discover the patterns in the expansion (x + y)^n
 * 4) apply combinations to determine the coefficients of a binomial expansion
 * 5) apply the Binomial Theorem to expand binomials

Answer these questions as you watch the videos. Copy them into your notebook. 1. What is the pattern with the variables? 2. What is the pattern with nCr? 3. You can use either Pascal's Triangle or the combination method to expand binomials. Which one will you use? Why did you choose this one over the other?

One way to do this using Pascal's Triangle media type="youtube" key="NLQmQGA4a3M" width="425" height="350"

Here is another way using combinations

media type="youtube" key="YxysKtqpbVI" width="425" height="350"


 * Classwork:** Solve: write the expansion of (3a - 2)^4 (ans: 81a^4 - 216a^3 + 216a^2 - 96a + 16)


 * Homework:** Complete numbers 3-11, 21

[|Binomial_Thm.JPG]


 * Answers:**

[|A-Binomial_Thm.JPG]


 * Journal entry:** How do the rows of Pascal's Triangle help in understanding the Binomial Theorem?