Welcome to William's Math Analysis Blog

Monday, December 9, 2013

SP#6 Unit K Concept 10: Writing a Repeating Decimal as a Rational Number

In this problem, the hardest part is being able to solve it without using a calculator. Decimals and fractions are always confusing. Doing this with the calculator is easier because we can use the math frac button and that's it, but that is not the point of this problem. Here we have to be able to keep working with the fractions and then end with a fraction. The other tricky part of this problem is that we might forget that we have an integer. At the end of the problem we have to plug it into the answer but still keep it as a decimal.

Wednesday, November 13, 2013

SV Unit J: Concept 3-4: Martrices

Though this unit we learn how to solve a matrix. With the matrix we are able to find points and to understand how a matrix works. The first thing that we have to do is choose the order that we want the equations to be in, with this we can start canceling numbers to the point where its easier to find the points. We have to find the first zero at the bottom of the matrix. we do the same thing for the second row and later with the second space on the bottom row. Later we have to be able to create a stairway of ones which we can later use to plug in numbers to find the values of the function. Then you just have to find the triple ordered pair.

Friday, November 8, 2013

SV#3 Unit H: Concept 7 Finding Log using approximations

In this video i work show how to find logs by using given aproximations. The first thing that we have to do is look at the clues that are given and then use them in order to divide the logs and make them into a simpler version. we also have to remember that there are some clues for the logs that are not given to us but we know them because of the property of the logs. Then after we divide the log into the most simple version we can replace the logs with the letter which they equal to, and then you just write it down.

Monday, November 4, 2013

WWP#6 Unit I: Concept 3: The Basics of Banking Accounts

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SP # 3 Unit I Concept 1: Graphing Exponential Functions

In this picture I solve a problem where i demonstrate how to graph exponential functions and how to identify the x & y intercepts, asymptotes, domain, and range. First we have to identify what the values for a, b, h and k are. With that we find the asymptote. Later we have to find the x-intercept of the graph by plugging 0 into y. Then you find the y intercept by plugging 0 into x. With those values you can choose 4 key points that will help in the graphing of the formula. The domain for these will always be negative infinity to infinity. The range is the tricky part for this kind of function you have to choose the infinite that corresponds to it and then replace the other infinite by the asymptote.

Monday, September 16, 2013

SP#2 Unit E Concept 7 : Graphing Polynomials

This is an example of the graphing of polynomials. In this example we introduce to the graph such things as zeroes (with multiplicities) and end behavior which give a better idea of how the graph should look like.

In this example we did not factor the polynomial because we still don't know how to factorize these but we started from the zeroes so its easy to find the polynomial. With the zeroes and the equation we can find the x and y intercepts. After finding these, we can find the maximums and minimums of the graph which in the the end is enough information for a fairly accurate graph.

Monday, September 9, 2013

SP#1 Unit E Concept 1 : Quadratic Standard Form Equations

This is an example of a standard form equation. This problem is an example of how identifying the x-intercepts, y-intercepts, vertex, axis of quadratics and how all these help in the sketching of the graph.

This problem shows and example of how a standard form equation can be graphed more accurately whenever more details of them are found. Small things such as the y-intercept, the vertex, etc. help the graph be better represented. 

WPP # 3: Unit E Concept 2, Path of Footbal

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