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## Friday, December 20, 2013

## Tuesday, December 17, 2013

### WPP#9: Unit L Concepts 4-8: Calculating possibilities with FCP, Combinations, and Permutations

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## Friday, December 6, 2013

### SP#6: Unit K Concept 10: Writing a repeating decimal as a rational number using geometric series

The viewer needs to firstly make sure they have the correct a sub 1 and ratio. It is important to remember that there is an infinity amount of numbers in this problem. The trickiest part of the problem is trying to solve for the sum because you deal with fractions and you have to make sure to convert you whole number into a fraction that has the same denominator as the fraction you add it to. When solving for your sum it is also important to make sure you have the correct sum by dividing your fraction. You should have one different number at the very end of your repeating decimal.

## Friday, November 22, 2013

### Fibonacci Beauty Ratio Measurements

After looking over the results, Ismael R. is the most “beautiful” based on the Beauty Ratio because of his average proportion, 1.67, which is closest to 1.618, the Golden ratio. To be the “most beautiful” your body must be equally proportioned to a certain number of centimeters after dividing the measurements. Elizabeth was also close to the golden ratio and in my opinion of her and Ismael’s faces; they have nice structured features, such as their nose and jaw. They do not have any odd features. However, I do not think that the golden rule really determines the most beautiful person because I still think the others in which I measured are still good looking even if their ratio wasn't near the golden rule. Different and special features is what I think make a person beautiful. There shouldn't be a certain proportion one should have in order to be seen as beautiful.

### Fibonacci Haiku: My Own little Jump of Joy

http://www.sogoodblog.com/wp-content/uploads/2009/06/mustard.jpg

Mustard

Goodness

Bitter Joy

Bright and Yellow

Makes everything taste even better

Always have extra mustard packets in my Backpack

Many find it really gross but i am not ashamed of my mustard.

Lasagna, pizza, chips, popcorn, enchiladas, quesadillas, tuna, chicken, tacos, french fries, you name it, i gotta have my mustard with it.

## Tuesday, November 19, 2013

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

## Friday, November 15, 2013

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

An important thing to pay close attention to

is factoring the correct factors for each denominator

in order to come up with the right terms. It is

also really important to make sure you combine your like terms correct. There is a lot of like terms so using different colors or circling them will help a lot. In order to have the correct answer you have to plug in the correct matrix to start with so double check to have the right numbers. i hope this helps:)

is factoring the correct factors for each denominator

in order to come up with the right terms. It is

also really important to make sure you combine your like terms correct. There is a lot of like terms so using different colors or circling them will help a lot. In order to have the correct answer you have to plug in the correct matrix to start with so double check to have the right numbers. i hope this helps:)

## Thursday, November 14, 2013

### SV#5: Unit J Concepts 3-4: Matrices

To watch my video click HERE

An important thing to pay attention to while solving for this problem is all of the signs and to make multiply correctly each row. It is extremely important to add or subtract the right rows when finding a certain zero because if not that automatically get you on the wrong track. There are a lot of little steps that you must do correct. Using the calculator after solving your matrix is helpful to see if your answer is correct.

* I did not verbally explain how to solve for x at the end but you simply plug in your z and y which were already solved for.

An important thing to pay attention to while solving for this problem is all of the signs and to make multiply correctly each row. It is extremely important to add or subtract the right rows when finding a certain zero because if not that automatically get you on the wrong track. There are a lot of little steps that you must do correct. Using the calculator after solving your matrix is helpful to see if your answer is correct.

* I did not verbally explain how to solve for x at the end but you simply plug in your z and y which were already solved for.

## Tuesday, November 5, 2013

## Tuesday, October 29, 2013

### SV#4: Unit I Concept 2- Graphing Logarithmic Equations

Click HERE to watch my video.

An important thing to remember is the equation y=a(b)^(x-h)+ k because you need to know that your h is your asymptote. It is also important to know that the range for logarithmic equations is always (-infinity, infinity). Pay special attention to plugging in the right change of base in order to find your graph because that is how you will find your new points. I hope my explanations help:)

An important thing to remember is the equation y=a(b)^(x-h)+ k because you need to know that your h is your asymptote. It is also important to know that the range for logarithmic equations is always (-infinity, infinity). Pay special attention to plugging in the right change of base in order to find your graph because that is how you will find your new points. I hope my explanations help:)

## Friday, October 25, 2013

### SP#3: Unit I Concept 1- Graphing Exponential Functions

This problem is about knowing how to identify the x-intercept, y-intercept, asymptote, domain, and range in order to graph it correctly. You must know the equation y=a(b)^ (x-h)+k and the meaning behind each letter in order to find certain parts of the graph. To find the x-intercept simply plug in 0 for y and to solve the y intercept simply set x=0. For the domain, there are no x-value restrictions and the range depends on the asymptote. Last but not least, the key points should be based after finding you x and y intercepts.

It is important to pay attention to your "a" of the equation because it gives you a lot of information upon the graph without solving anything. Knowing whether its positive or negative tells you where your graph should end up being and it may also determine whether you will or will not have an x-intercept in accordance to your asymptote.

It is important to pay attention to your "a" of the equation because it gives you a lot of information upon the graph without solving anything. Knowing whether its positive or negative tells you where your graph should end up being and it may also determine whether you will or will not have an x-intercept in accordance to your asymptote.

## Thursday, October 17, 2013

### SV#3: Unit H concept 3- Evaluating Logs

Click Watch my video click HERE

A very important thing to focus on is factoring and breaking down the log that is to be found correctly or you will not get the right numbers to substitute for the letter of the given logs. Another very important thing is finding the hidden clues because you must automatically always add two logs based on the properties of logs. Last but not least if your answer, does not spell out what mine spells it is ok, that does not mean your answer is wrong, but just make sure it has the same letters, signs, and numbers.

A very important thing to focus on is factoring and breaking down the log that is to be found correctly or you will not get the right numbers to substitute for the letter of the given logs. Another very important thing is finding the hidden clues because you must automatically always add two logs based on the properties of logs. Last but not least if your answer, does not spell out what mine spells it is ok, that does not mean your answer is wrong, but just make sure it has the same letters, signs, and numbers.

## Monday, October 7, 2013

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

To see my video click HERE

***** I ACCIDENTALLY WROTE THE WRONG SIGN ON THE NUMERATOR FOR MY RATIONAL FUNCTION, IT SHOULD BE X^3+ 4X^2 AND NOT -4X^2 IN ORDER TO GET THE SAME ANSWERS AS I DID, PLEASE MAKE SURE TO FIX THAT BEFORE CONTINUING THE VIDEO OR YOU WILL GET DIFFERENT ANSWERS******

In my SV2, the problem consists of determining what kind of Asymptote the rational function has and it's equation, how to find the holes (if any), x intercepts, y intercepts, and draw the corresponding graph. You must have a calculator in order to be able to find the limit notation of the Asymptote and all your key points. Having a visual of how the graph looks on the calculator is very helpful while doing certain steps of the problem.

It is important to pay special attention to the the degrees of the first coefficients from the denominator and the numerator in order to know what kind of Asymptote your graph will have. Another important thing is to make sure your limit notation is correct according to the graph because knowing whether the graph goes up or down can assure you if you have the correct graphs according to your holes and x and y intercepts. After understanding every step, the process of graphing rational functions will be as easy as 1,2,3:)

***** I ACCIDENTALLY WROTE THE WRONG SIGN ON THE NUMERATOR FOR MY RATIONAL FUNCTION, IT SHOULD BE X^3+ 4X^2 AND NOT -4X^2 IN ORDER TO GET THE SAME ANSWERS AS I DID, PLEASE MAKE SURE TO FIX THAT BEFORE CONTINUING THE VIDEO OR YOU WILL GET DIFFERENT ANSWERS******

In my SV2, the problem consists of determining what kind of Asymptote the rational function has and it's equation, how to find the holes (if any), x intercepts, y intercepts, and draw the corresponding graph. You must have a calculator in order to be able to find the limit notation of the Asymptote and all your key points. Having a visual of how the graph looks on the calculator is very helpful while doing certain steps of the problem.

It is important to pay special attention to the the degrees of the first coefficients from the denominator and the numerator in order to know what kind of Asymptote your graph will have. Another important thing is to make sure your limit notation is correct according to the graph because knowing whether the graph goes up or down can assure you if you have the correct graphs according to your holes and x and y intercepts. After understanding every step, the process of graphing rational functions will be as easy as 1,2,3:)

## Monday, September 30, 2013

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

To see my video click HERE

In my student video i will be teaching you how to find the possible rational, positive, negative, and all zeros of a polynomial, along with the complete factorization. I will explain how to use Descartes rule of signs to help you get your pq's and from that it will be easier to get your zeros. With your zeros you will be able to get the complete factorization. You will be doing step after step after step.

You will need to pay special attention when getting your factors from your zeros of the quadratic formula because you need to make sure it has an x or else it will not be a factor. Although you will be dealing with square roots you will still be able to find your factor your zeros with the steps i show you just make sure you are doing each step correctly and carefully. It is a long process but you will be able to do it:)

In my student video i will be teaching you how to find the possible rational, positive, negative, and all zeros of a polynomial, along with the complete factorization. I will explain how to use Descartes rule of signs to help you get your pq's and from that it will be easier to get your zeros. With your zeros you will be able to get the complete factorization. You will be doing step after step after step.

You will need to pay special attention when getting your factors from your zeros of the quadratic formula because you need to make sure it has an x or else it will not be a factor. Although you will be dealing with square roots you will still be able to find your factor your zeros with the steps i show you just make sure you are doing each step correctly and carefully. It is a long process but you will be able to do it:)

## Tuesday, September 17, 2013

### SP#2: Unit E Concept 7 - Graphing a polynomial and identifying all key parts

To do this problem you first must factor out the polynomial and find the end behavior. To find the x intercept you simply equal each factor to zero and solve. You must also remember to put the multiplicity of each zero. For finding the y intercept you replace all x's with zero and the number remaining will be your y intercept.

You must make sure to find the correct zeros after factoring in order to graph the precise graph. Another very important thing is knowing whether the graph bounces, goes thru, or curves, at each point. If the zero have a multiplicity of 1 then i will go thru, if 2 then it will bounce, and if 3 then it will curve at the point.

## Thursday, September 12, 2013

## Tuesday, September 10, 2013

### SP#1: Unit E Concept 1 - Graphing a quadratic and identifying all key parts

This problem is about knowing how to complete the square and putting it in parent graph form in order to graph it. After, you will also need to find the vertex, y intercept, axis, and the exact and appropriate x intercept(s). Finding these will help you graph the parent function equation.

When completing the square it it important to factor out the coefficient properly in order to get the right factor. It is also important to pay special attention when solving for b because you will be plugging it in for the left and right side of the equation and then having to get your parent graph in order to graph. You must pay close attention when solving for the completed square because if not then you will get the wrong x intercepts.

When completing the square it it important to factor out the coefficient properly in order to get the right factor. It is also important to pay special attention when solving for b because you will be plugging it in for the left and right side of the equation and then having to get your parent graph in order to graph. You must pay close attention when solving for the completed square because if not then you will get the wrong x intercepts.

## Thursday, September 5, 2013

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