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Sunday, December 8, 2013

SP#6: Unit K Concept 10: writing a repeating decimal as a rational number using geometric series (NO CALCULATOR)



In this picture you will be learning how to convert a repeating decimal into a rational number using the geometric series. The viewer should pay close attention to what happens to the number after the decimal. How it is set aside till the end of the problem. In the end adding it to the answer you have gotten. Also it is very important to make sure the answer gotten is completely reduced. 

Sunday, November 24, 2013

Fibonacci Haiku: CAKE!!!!!

http://indulgy.net/87/zB/s2/195906652510133280QKyc5TsWc.jpg
Cake!
Yummy!!
I love
Creamy Delicious Delight.
Could eat it all day.
The sweetest creation this wonderful world may have. 

Sunday, November 17, 2013

SP5: Unit J Concept 6: Partial fraction decomposition with repeated factors






This problem deals with solving partial fraction decomposition with repeated factors. The viewer needs to pay special attention to the repeated factors, they must count up the powers and include the factors as many times as the exponent. They should also be very careful with their signs, whenever distributing or substituting. Another important thing is that the answers gotten for a, b, c, etc, are put in the split up fraction from the beginning. Also the more letter involved the more equations there will be. These are the most important things to keep in mind when doing the problem. :)




SP4: Unit J Concept 5: Partial fraction decomposition with distinct factors







   This problem problem involves partial fraction decomposition of distinct factors. The viewer should pay close attention to the instructions for the calculator, and that when you go 2nd quit and then 2nd matrx you go to math all the way down to RREF then continue the steps. Something else would be to be very careful with your signs and everything plugged into the calculator, because one tiny mistake can cause you to get everything wrong. We don't want all this work to go to waste and start all over so be careful. Another thing would be to always forget to get rid of the x's when you have grouped like terms.






Monday, November 11, 2013

SV#5: unit I concept 3: solving three variable systems with Gauss Jordan elimination, matrices, row echelon form, and back substitution.

Click HERE to watch the video:)

This video deals with matrices and how they help you easily solve them in three simple steps. Then using row echelon form to help you check your answer. Then using back substitution to find your ordered pair. The viewer should pay close attention to the rows I utilized, and the way I managed to get the three zeroes and the row of ones. Another thing would be the directions on how to check your answer on the calculator. Be very careful on tiny errors like forgetting minus signs.

Sunday, October 27, 2013

SV#4, Unit I Concept 2: Graphing logarithmic functions and identifying x-intercepts, y-intercepts,asymptote, domain, range (minimum of 4 points on graph)

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This video goes over how to graph logarithmic equations. Focussing on the parts that help creat the graph which are x-intercepts, y-intercepts,asymptote, domain, range (minimum of 4 points). To find the asymptote the viewer should remember that the asymptote is x=h, and that in finding the y intercept x is set equal to zero, and when looking for the x intercept y equals zero. A nothing the viewer should pay close attention to is that range always has no restrictions, while domain is based on the asymptote. The most important thing though is that the graph continues on forever on both sides.

Thursday, October 24, 2013

SP# 3, Unit I Concept 1: Graphing exponential functions and identifying x-intercept, y-intercept, asymptote,domain,range (4 points on graph)



 In this problem we will be Graphing exponential functions first by identifying a,b,k,and h with the help of the equation y= (a)(b)^(x-h)+k and identifying x-intercept by setting y equal to zero , y-intercept by setting x equal to zero, asymptote by y=k, domain not having any restrictions because it's a exponential function ,range (4 points on graph)The viewer needs to pay special attention on the equation and how every number represents a certain letter. Another thing is that the asymptote is y=k
and is a horizontal line. As seen in finding the x intercept we do not have one because you can't take the log of a negative number. To find the y intercept you basically just substitute x for zero. Lastly the domain in this case will not have restrictions, the range does and it is based on the asymptote.


Wednesday, October 16, 2013

SV#3: Unit H Concept 7: Finding logs given approximations

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Something the viewer need to pay closer attention to would be the hints they can come up with themselves. For example log base b of b equals 1 and log base b of 1 equals zero, those go for all problems having to do with finding logs given approximations. Also when the fraction doesn't allow for any of the clues to divide or multiply into it then you would need to expand it. And make sure to use your properties of logs correctly.

Monday, October 7, 2013

SV#2 Unit G, Concepts 1-7: finding vertical, horizontal, and slant asymptotes of rational functions and holes, domain, x and y intercepts. Graph.

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This video is about finding vertical, horizontal, and slant asymptotes. Not only that but also finding the holes, y and x intercept, and domain with interval notation. All those specific parts contributing to the specific parts that are included in the graph.

In order to understand the viewer needs to pay special attention to what equation must be used if not you may get completely different answers. Another thing to pay special attention to would be when graphing the hole it's important to leave it as an open circle. One last thing to keep in mind would be that you may never have a horizontal and a slant asymptote, it's either one or the other.

Sunday, September 29, 2013

SV#1: Unit F Concept 10: given polynomial of 4th or 5th degree find all zeroes

Click here to view my lesson about SV#1 unit F concept 10: Given polynomial of 4th or 5th degree, find all zeroes


In this video you will be learning how to find the zeroes to polynomials of higher degrees in this case a polynomial to the 4th degree. It will utilize the rational roots theorem, Descartes rule of signs, and synthetic division. As the video goes through every step of problem, hopefully making the process clear.

Something to pay special attention to would be Descartes rule of sign and how when finding negative real zeroes only odd roots change. Another thing would be that every step helps contribute to the next one. So if something is done wrong it's likely that the answer is wrong too. In the end you should also see the other way of writing the factors of the polynomial out.

Tuesday, September 17, 2013

SP #2: Unit E Concept 7: Graphing Polynomials


This problem is on Graphing Polynomials, and how to do so. Including x-intercept, y-intercept, zeroes (with Multiplicities), and end behavior. One thing to know is that all polynomials will be factorable.

The Viewer needs to pay special attention to the multiplicities, and how they work out in order to understand. A multiplicity of 1 would cause the line to go straight through, a even multiplicity causes a bounce off the x intercept not actually crossing it. A odd multiplicity would cause a curve through the graph.

Friday, September 6, 2013

SP# 1: Unit E Concept 1: Identifying x-intercepts, y-intercepts,vertex (max/min), axis of quadratics and graphing them. Quadratics in standard form.



   This problem involves the process of solving a quadratic by using completing the square, in order to get it in parent function form. And from there you would be able to solve for the vertex, y-intercept, axis (line of symmetry), and the x intercepts.

   The viewers need to pay special attention to every step taken in order to fully understand the concept. For example they must keep in mind that when finding the y-intercept its easier to get the answer when plugging in zero into the original equation (standard -form).