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Saturday, November 30, 2013

Fibonacci Haiku: Winter is Coming

Cold
Cold
Rainy day
Water drip drop
Wrap in my comfy blanket
Hot chocolate melt and infused in my mouth

Thursday, November 21, 2013

SP #4: Unit J Concept 4: Partial Function Decomposition

In this problems, student will learn to use their algebra skills to solve this problem. Students will find the common denominator and multiply both the numerator and denominator by what it is missing and solve for it by decomposing it. 

What students need to be careful about when solving for this is foiling all the equations. One mistake will need to a different answer to the problem. Also students should use their calculator to check their work at the end.

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

In this concept, students will be separating the fractions, in other word, decompose the fraction in order to solve for the variable. This concept is similar to concept 4, in which students need to find the common denominator and multiply the top and bottom by what it is missing and then solve for it by combining like terms and use elimination. However, in this concept, there is a repeated factors.
Students need to be carefu about the repeated factors. The repeated factors need to be listed up to a power. Example: the repeated factors is (x+3)^3 is written as (x+3)(x+3)(x+3)^3. Also students needs to be careful when foiling because of the negative signs. It can change your whole answer.

SV#5: Unit J Concept 3-4 Matrix

In this concept, students will be using the Gaussian Elimination to solve for the matrixes. Students will be imputting the numbers into the matrixes. The goal is to get the zeros into a corner triangle on the left and to get a staircase of ones. Students will be using the elimination skill to subtract/add/or multiplies the row in order to solve. Students needs to be careful when subtracting the rows because there are certain rows that needs to be subtracted. For solving the first 0, students can use the first row or the second row. However for the middle row, first term, students need to use the first row. The third row and 2nd terms, students need to use the second row to solve.