Unit K Concept 10: Writing repeating decimal as a rational

In this concept, student will learn about rational number. Students will be able to write the repeating decimal as a rational number without using a calculator. To solve for it, you need to use the sum of infinite geometric series. Students need to find the firs term and the common ratio. To get the common ratio. To find the common ratio, you take the number divided by the preceding number. Finally you plug into the formula and evaluate.

One thing that students need to be careful about it listing out the number. It will give you a completely different number if it is not listed right. Also students should be careful about subtracting the whole number by the fraction.

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

 Credit/disclaimer

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.

WPP #6 Unit I Concept 3-5: Compound interest, coninuously compounding interest, investment application problem

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SV #4 Unit I Concept 2: Graphing logarithmic functions

In this video you will learn how to graph the logarithmic function. You will be using the asymptote, x intercept, y intercept, key points to graph your graph. You will also need to find the domain and the range of the graph One thing that you need to be careful about is the domain. We hav a restriction on the x value so the domain should be (number, infinity). Also you need to use the change of base formula if you cannot solve for it.

SP #3: Unit I Concept Concept 1: GraphingExponential functions

***Correction: Range (3, infinity)

In this unit you will be able graph the exponential functions and identify all parts of graph such as x intercepts, y intercepts, asymptote, domain and range. You will use these to graph your logarithmic functions.

One thing that you need to be careful about is H as it is the opposite when you identify it. Another thing you need to be careful about is the range. It depend on your asymptote. If the graph fall below the asymptote, you write it as (-infinity, asymptote)

Student Video #3: Unit H Concept 7: Finding logs given approximations

In this concept, you will be learning how to find the logs with the given clues. First you need to find the multiple numbers that will go into that number.The number will need to match the clues given to solve for the "puzzle". Then you will need to use the product and quotient law in order to expand the clues. One thing that you need to be careful about is to list 2 other "hidden" clues. If you don't list the hidden clues, you will not be able to find the correct answers to the clues. Also you need to be careful about expanding the clues, whether to add or subtract them, depending on the problems.

SV#2: Unit G Concepts 1-7 - Finding all parts and graphing a rational function

Note: It is suppose to be 5x^2 not 5x in the long division. In the video we will be winding the slant asymptote. It is when the degree in the numerator is greator than one. To find the slant asymptote we will be using long division to solve the equation and graph the line. Also we will be finding the vertical asymptote, holes, domain, x intercept, and y intercepts to graph the slant asymptote. Because we have slant asymptote there will be no horizontal asymptote. One thing that you need to be careful with is when you were solving with long division, you need to look out for the signs when subtracting. Also you should be careful when solving for the x and y intercepts because it can lead you to a different point and mess up the graph.

SV#1: Unit F Concept 10 - Finding all real and imaginary zeroes of a polynomial

In this video you will learn how to find the zeroes of a polynomial. This is an all new concept of finding zeroes using a new method by using the synthetic division. Along with using synthetic division, student will also use the descarte rule of signs and p/q to solve for the zeros. What you need to be careful when solving is to check your work, to make sure that you are dividing correctly. In addition to, negative and positive sign will have a big impact on the answer if it is placed incorrectly.

SP #2: Unit E Concept 7: Graphing Polynomial

The problem is about identifying the end behavior, solving for the factors, and putting it into graphying forms. First you need to factor out the equation. Then decide on the end behavior. Solve for the x intercept and use it to graph.

One thing that you need to pay attention to is the coefficient of the first variable, because it determines your end behavior and how many answer you will get in that equation.

WPP#4: Unit E Concept 3 - Maximizing Area

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WPP#3: Unit E Concept 2 - Path of Football

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SP #1 Unit E Concept 1: Identifying all parts of quadratics and graphing them

This problem is about identifying the x intercept, y intercept, vertex, and axis of quatratic. The vertex is the (h,k), x intercept is y=0, y intercept is x=0, axis of symmetry is x=h. After finding these, you need to graph it.

To be able to solve and graph it correctly, user needs to pay attention to the negative signs (if any). Also the negative or positive signs in the front of the equation tells whether the graph is up or down. Lastly, the imaginary numbers cannot be plotted.

WPP#2: Unit A Concept 7 - Profit, Revenue, Cost

WPP#1: Unit A Concept 6 - Linear Models