WPP #10: Unit L Concept 9-14: Probability

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WPP# 9 Unit L Concepts 4-8 - FCP, Combinations, Permutations, and Distinguishable Permutations

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SP#6 : Unit K Concept 10 - Writing repeating decimals as rational numbers

Problem: 12.365365

When doing this type of problem, you should ignore the whole number before the decimal. You should remember to add it on the final rational number in the end. Because you get a fraction as your rational number, to add the whole number from before, you have to use a common denominator and multiply the factor into the top and bottom. Be careful when you are doing this so you don't get the answer wrong.

Fibonacci Haiku: Black Friday

Screams

Tugs

Aggressive Pushing

Battling Soccer Moms 

They are Black Friday Shoppers

Look out because they will bite and scratch.

http://a.abcnews.com/images/US/gty_black_friday_shoppers_jt_111127_wg.jpg

SP5: Unit J Concept 6 - Partial Fraction Decomposition with repeated factors

The student must remember that when there is a repeated factor, they must count up the powers, so if there was (x-1)^3, then the denominator will be split into A/(x-1) + B/(x-1)^2 + C/(x-1)^3. They must also pay attention to how they are FOILing and distributing their numbers so that they don't make any mistakes. Make sure that you care adding/subtracting your like terms correctly. 

SP #4: Unit J Concept 5 - Partial Fraction decomposition with distinct factors

In this concept, the student must be careful when factoring and FOILing to find their common denominator. They must make sure that they are grouping them together and combining the like terms correctly so that their matrix set up doesn't get mixed up. This would slow down their process to find the partial fractions of the problem. 

SV #5 Unit J Concept 3-4 - Matrices

The student should make sure that they are paying attention to their multiplying and adding/subtracting. If they make a mistake in this then it could make it harder for the student to get the zeroes and stairstep 1's, making the process take longer. The student should pay close attention to when they are inputting in their numbers in the calculator, they should double check that they inputted the things correctly. 

*forgot to mention in video, when plugging in the original 3 equations into the calculator, what you do is you press 2nd and then matrix. You go to edit and you plug in all the equations as you see it. Then press 2nd quit and go back to 2nd matrix. Go to MATH and scroll until you find rref(. You select that and go back to 2nd matrix. You then select A because it is the matrix that you have filled in earlier. Then add the  parenthesis to close the problem. Click enter and the matrix should pop up. You should see the three 0's and it equals 1. The three 0's in row 3 confirm that our system is INCONSISTENT.