SP#6: Unit K Concept 10-Infinite Geometric Series

In order to solve this problem, a big help would be knowing the infinite geometric series equation. As explained in the picture to solve your a sub 1 and ratio is pretty simple. You can refer back to earlier concepts. To find a sub 1, it would just be the first term in the series. To find the ratio you must divide the second term by the first term. Although the whole number is left out throughout the problem, remember to add it in at the end and only then well you have your answer to the problem.

Fibonacci Haiku- Its Bad News..

http://www.breadexperience.com/sourdough-bread-recipes.html

Sourdough

Bread

Me gusta

All Day, everyday

Doctor gave me bad news

I can no longer eat sourdough bread ever.

SP#5: Unit J Concept 6

What do you need to know in order to understand this problem and concept?

In order to understand this concept alone, you must remember that unlike concept five in which it has distinct factors this concept does not. This is at a difficult level and does apply matrices. Make sure to be patient and be clear on your work, in order to track a mistake, if done. Other than that, have fun and enjoy Student Problem#5.

SP#4: Unit J Concept 5

What do you need to know in order to understand this problem and concept?

In order to understand this problem you must understand that this concept has distinct factors. This concept consists of decomposition. And although matrices might seem way behind us, we will have to apply it in this problem.  Luckily for us, we can use our graphing calculator. The main tool you must use is, the tool from algebra, to add fractions and you will be set for life. Well not really, just for these two concepts. Good luck and enjoy.

SV#5: Unit J Concept 3-4

What do you need to know in order to understand this video?

First of all, to make your life much easier when solving a matrix, make sure to use a pencil. It will save any student a great amount of time in case a mistake is to occur. Secondly, highlight the rows in the order of the Gauss-Jordan elimination process. Lastly, solve the equation using your graphing calculator using rref, to guide you through the equation and help you to stop in your tracks in case you make a mistake.

WPP#6: Unit I Concept 3-5-Compound Interest

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SV#4: Unit I Concept 2-Graphing logarithmic functions

What does the viewer need to pay special attention to in order to understand?

The viewer needs to pay special attention to the asymptote equaling h. So therefore, x=h. Secondly the viewer must know that the equation itself cannot be plugged into the y-screen of the graphing calculator it must be modified, using natural logs. Lastly, is that, the range has no y-value restrictions meaning it is going to  be (-infinit., infinit.). 

SP#3-Graphing exponential functions

What does the viewer need to pay special attention to in order to understand?

First of all to understand how to graph the equation and where the boundary is, its the asymptote which is y=h. For this equation it would be y=-2. Secondly, because the equation is negative and the boundary is at -2, that means no x-intercepts because when solving for the x-intercept, a log of a negative number cannot be solved, it is undefined. Lastly, to find your y-intercept you must plug in zero and from there solve for the rest. 

SV#3: Unit H Concept7-Finding logs given approximation

What does the viewer need to pay special attention to in order to understand?

There are many little tricks and things in this specific concept that one can mess up on. First being, trying to find the factors for the log, it it necessary to divide until you see all answer being on the clue chart. When writing out the expanded log, it is necessary to have the logs adding when needed and subtracting when needed. And lastly, it is essential to have that secret clue in there, along with your other clues, it is good help to solve the problem out. Those are mainly the basic things to watch out for, other than that, have fun 'log'ing away!

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

ATTENTION: There was a slight mistake in my answer for the hole, but the correct hole for the equation above, is this one! Sorry for the inconvenience. 

Here is the graph I promised in the video! A quick explanation of the graph the highlighted parts: the green in the vertical asymptote and the blue is the slant asymptote. The points on the graph are the x-intercepts and y-intercepts found throughout the equation. And lastly the key points are points randomly selected. The process is you choose three x-values that are on the graph and on your graphing calculator, looking at your graph, you trace those three x's and you shall receieve your y's.

What is this problem about? 

The problem is about basically everything to do with rational functions! I know very exciting. But anyways in a problem like this we will see horizontal asymptotes/slant asymptotes, vertical asymptotes, holes, domain, x-intercepts, y-intercepts and in the end adding everything into one bunch and graphing it. Everything interconnects with one another, so it is important to be clear with your work so in the end you won't mess up the graph.

What does the viewer need to pay special attention in order to understand?

In order to understand the viewer must pay attention to each and every step they do. They must be aware that one thing leads to another and it all leads to the graph. So it must be important to keep everything organized because you can easily mess one thing up with another. It's extremely important to REMEMBER that if you have a slant asymptote you will not be having a horizontal asymptote and vice versa. Laslty, if nothing cancels in a vertical asymptote that means the graph will not have a hole. 

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

What is this problem about?
So this problem is based off the Unit F Concept 10. Through this we solve out the problem multiple different little tricks. Including Descartes Rules of Sign, synthetic division, the quadratic formula and factoring. In a whole this is just solving finding zeroes for a 4th degree polynomial.

What does the viewer need to pay special attention to in order to understand?
So before you watch the whole video pause after the problem is listed. Try to complete yourself then if you get stuck go along with the video. Somethings to watch out when using Descartes Rules of Signs make sure that when solving for possible negative real zeroes that the odd degrees will change signs. Also when solving the quadratic equation make sure that the square root is simplified as much as possible. Those are just the most important things to watch out for, other than that your good to go!

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

1. What is the problem?

This problem presents us how to use extremas, intercepts, end behavior, mulitiplicities and factoring, all into one bunch. The extremas let us know when are the maximum and minimum points on the graph. The intercepts let us know where on the graph do we cross the x and y axis. End Behavior lets us know how the graph will look, the multiplicities will lets us know how the graph in between will look like.

2.What do you need to pay special attention to?

While figuring out the problem you must pay special attention to the factoring, if the equation is not factored correctly, things will get messy. second, pay attention to your end behavior and whether its right or not. Lastly, pay attention when drawing your graph whetger on a point does it bounce off, go through, or curve?

WPP#4: Unit E Concept 3- Maximizing Area

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WPP#3: Unit E Concept 2-Path of Soccer Ball

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

This problem is a quadratic problem. The point of this problem is to be able use all the parts of the quadratic to find many different useful parts to draw out a graph of that equation. The parts that need to be found are: the parent function equation, vertex, y-intercept, x-intercepts, and the axis.

In order to understand the equation, you must right out your steps clearly. Important parts of the equation or the x-intercepts. If those turn out to be x-intercepts with square roots, you must simplify as much possible. And once in putting the x-intercepts into the calculator to round the nearest tenth for the exact and approximate x-intercepts.

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

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WPP #1: Unit A Concept 6-Linear Models

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