School Appropriate and Math Related Blog ( ͡° ͜ʖ ͡°)

Binomial Theorem Objective: Understand how to use the binomial theorem Binomial theorem describes the algebraic expansion of powers of a binomial. Analysis Misconception: My misconception was that initially, you did not count the first term while plugging the equation. I fixed this misconception when the teacher corrected our misake, as the class made this mistake often as well. Essential Question: Give an example of when you should use the binomial theorem. When finding a probability, you can use Binomial Theorem. Take for instance the following word problem "A coin is tossed four times. Calculate the probability of obtaining more heads than tails."

Recursive, Explicit and Sigma Notation  Objective: I will be able to understand recursive and explicit forms. Students will also be able to use sigma notation for series. In example one, the sequence diverges because the ratio is greater than one. You can determine the ratio by putting the the 2nd over the 1st. Analysis My misconception was that if the the ratio is greater than one it conerges, but its really the oppostie.  Essential Question: How do you determine whether a sequence diverges or converges? You can determine by looking at the ratio. If the ratio is greater than one it diverges, and if the ratio is less than one it converges.