Fibonacci Haiku: Black Friday

 Dude! 

 Run
 Black Friday 

  That crazy day  
 People will knock you down 
 Just make sure you grab that blue jeans 

 Push all you need, those half deals are meant for you and me 

http://www.slotanna.com/blog/wp-content/uploads/2012/11/Black-Friday-Shoppers-Running-for-the-Best-Black-Friday-Deals.jpg

SP #5: Unit J Concept 6: Partial Fraction Decomposition with Repeated Factors

In this Student Problem, the same rules from Concept 6 apply, except that in this problem, we find repeated factors, which basically means that there are two or more factors, such as in this example (x+1)^3. There are still tricky sections in this problem though because there are parts that we have to include even though I did not go over it on the last blog post. For starters, it is important to remember that we need to count up to the exponent that the factor x+1 says, which is 3. Then we, have to make sure we factor out before distributing. In this problem, I got the resulting system and combined the first two problems and then I solved the last two through the elimination process. After that, I then combined those resulting individual equations and solved them by the elimination process. It is helpful to use the original equations, so make sure you do not leave them out!

SP #4: Unit J Concept 5: Partial Fraction Decomposition with Distinct Factors

                               

 In this student problem, I go over over partial fraction decomposition. We will break down the problem and then we will use our algebraic skills to finish solving the problem. Keep in mind that matrices are back, so make sure you remember how to check your problem with rref. When you start to break down the problem and then go on to foiling, remember to be very careful with basic math (distributing, multiplication, etc.) because it can throw you off. Also, leave the denominator factored out, so it is easier for you to break down the fraction. I used A, B, and C as my letters, but it really does not matter which one you decide to use. However, keep in mind you should avoid X because after all it's one of your variables.

SV #5: Unit J Concept 3-4: Solving Three-Variable Systems Using Gaussian Elimination

CLICK HERE!


In this video, I will be going over the process of using matrices and the Gaussian Elimination process in order to find the correct values for the consistent independent ordered pairs. There are my tricky things in this video that we must pay attention to, so make sure that you pay attention to everything in general. To be specific though, remember that there are four steps you need to take in order to find the correct functions, which means that you must remember them in order to complete the matrix. Along with that, remember how to check your answers with reduced row-echelon form to save you time in case you make a mistake along the way. Yes, fractions are back, but that does not mean that you will get decimals in your values. In fact, make sure you only get whole numbers as we are only working with whole numbers for now. Other than that, thank you for watching! :)