Monday, November 26, 2012

Student Problem 7

Unit K Concept 10

  • What is it about?
    • This problem is from Unit K Concept 10. Concept 10 is about writing a repeating decimal as a rational number using geometric series.
  • What does the viewer need to pay special attention to in order to understand the concept?
    • To solve these problems we need to come up with our general rule. We do this by looking at our repeating decimal and listing the repeating parts. Then we simply put the appropriate amount of decimals in front of each repeating factor. Next we find a sub one and r. once we have found these values, we need to plug them into the infinite geometric series formula. We solve our formula and we get our answer.  The viewer needs to be careful about always leaving the answer in a fraction. Also the viewer needs to be careful about how many decimal places they need to use when writing the repeating decimal. They need to be careful because sometimes the repeating decimal is in the ten, hundreds or the thousands. 

Wednesday, November 14, 2012

Fibonacci Haiku

Disneyland
Happiness
Mickey Mouse
Sleeping Beauty's Castle
Meet your favorite characters 
Watch the fireworks and ride your favorite ride

Sunday, November 4, 2012

Student Problem # 6


What is it about?
This problem is from Unit J Concept 6: partial Fraction Decomposition with repeated factors. This is the same as Concept 5 except one of the factors is repeated.

What does the viewer need to pay special attention to in order to understand the concept?
This concept is similar to concept 5 except that in this concept is repeated. This means that we have to count up the powers. For example if we have x^3 we would need to write A/X + B/X^2 + C/X^3

Student Problem #5


What is it about?
This problem is from Unit J Concept 5: Partial Fraction Decomposition with distinct factors. First we had to start by having a factored equation and then we had to add it. After we added it, we needed to do partial fraction decomposition to get our answer. In this concept each of our factors is different.

What does the viewer need to pay special attention to in order to understand the concept?
In this concept we need to start by separating our fraction into three different fractions. Then we need to multiply each fraction by the common factor. Next we had to combine like terms. From those like terms we had to create equations and use elimination to find the value of each variable. After that, we plug in the values form the variables back into the original equation. The tricky part about this concept is making sure you factored right and also that you didn't forget any negatives.