Sunday, December 8, 2013

SP 6: Unit K Concept 10: Writing a Repeating Decimal as a Rational Number Using Geometric Series

The viewer needs to pay attention to finding the ratio by dividing the second term by the first. Additionally, when dividing the numerator by a fraction, multiply the top and bottom by its reciprocal. It is crucial to remember the whole number 6 at the beginning of the problem. Add it to the solution by multiplying top and bottom by 99 to get the same denominator and then add the two.

Saturday, November 23, 2013

Fibonacci Haiku: My Type of Party

Late nights
Just half awake
Partying like there's no tomorrow
Study parties with my textbooks are the best!

Saturday, November 16, 2013

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

The viewer must pay special attention to setting up the equations. It is important to remember that set the coefficients of the numerator equal to the term letters of the right side. Additionally, for this particular problem , we were unable to use our calculator because it gave us decimals. Instead, I used to process of elimination to find the value of A. Then, I plugged it into one of the original equations to find B and C. Lastly, I plugged in all three terms to find D. It is crucial that the viewer carefully solve for these values because small mathematical mistakes will lead to the wrong solutions.

SP #4 - Unit J Concept 5: Partial Fraction Decomposition with distinct factors

 For part 1, special attention should be payed to multiplying out the numerator. There is a lot of room for small mistakes, so it is important to make sure your math is correct. Also, be careful when distributing negative numbers, you must distribute the negative to everything in the parentheses, then combine like terms!
 For part 2, the viewer should be careful when writing the equations. It is important to copy correctly and not forget any negative signs. It is also crucial the viewer remembers to cancel out the x's.

For part 3, plug in the coefficients into the calculator. It is crucial you plug in the right numbers or else you will get the wrong answer. It is important to recheck what you plugged in.

For part 4, follow the necessary steps to find the ordered triple. The viewer should be able to follow the steps as stated in the image. It is important not to forget the closing parentheses! The fourth column provides the ordered triple, notice that these are the numerators of the original equation found in part 1!

Tuesday, November 12, 2013

SV #5 : Unit J Concept 3-4 : Solving 3 Variable Equations

The viewer must pay close attention to writing out coefficients properly. Also, when solving for the zeroes they must make sure to multiply and add properly or else the answer will come out wrong. Additionally, make sure you plug the values into your calculator correctly or else you will get the wrong answers. It is also important to remember that you must use row 1 for row 2 and include row 2 for row 3.

Sunday, October 27, 2013

Sv #4: Unit I Concept 2: Graphing Logarithmic Funcitons

In this video, it is important the view pays close attention when finding the asymptote. Because h is being subtracting, the asymptote will have the opposite sign. Additionally, when finding the x-intercept, we must remember how to exponentiate and get rid of the logarithm. When finding the y-intercept it is important to know how to plug in the logarithm if the base is not e or 10.

Thursday, October 24, 2013

SP #3 Unit I Concept 1:Graphing Exponential Functions

The viewer needs to pay close attention to solving or the x-intercept. We cannot take the log of a negative number, so if this occurs, it is undefined, meaning no x-intercept. Additionally, it is important to notice that the range depends on the asymptote. If you look at the graph, you can see that the graph never goes below 1 and goes up to infinity, giving us the range of (1, infinity). Also when choosing key points, the 3rd key point should be h.

Wednesday, October 16, 2013

SV # 3: Unt H Concept 7: Finding Logs Given Approximations

      This video is about finding logs given approximations. This incorporates using the quotient, product, and power laws. Additionally, we will be looking at how to take our clues and multiply or divide them in order to make them equal to our solution. This problem involves knowing the properties of logs.
      It is crucial to recognize that because their is a denominator, the logs will be subtracting. The viewer needs to also pay special attention to expanding the clues using the properties of logs. If the log has an exponent, rather than solve it, you should use the power property. This means bringing the exponent to the front of the log. It is also important to recognize that you need to substitute in the values given after you have completely expanded your log.

Monday, October 7, 2013

SV #2: Unit G Concept 1-7: Graphing Rational Functions

     The problem is about graphing a rational function through analyzing pieces of the function. This video addresses vertical, horizontal, and slant asymptotes. It also finds the holes of the function as well as the x and y-intercepts. Using past concepts, such as domain, long division, and  interval notation, will help us in graphing this function. 
     The viewer should pay special attention to finding the x and y-intercepts because it is crucial to remember to use the simplified equation. Additionally, when find it he hole for these functions, plug in the found x-value into the simplified equation. When plotting the hole, represent it as an open circle representing that the graph does not go through this point. Lastly, through using the limit notation of the vertical asymptote, it gives you an idea of what the graph will look like.

Sunday, September 29, 2013

SV #1: Unit F Concept 10:Finding real and complex zeroes for a 4th Degree Polynomial

        This problem is about finding all the zeroes, real and complex zeroes for a 4th degree polynomial. We will be using the rational roots theorem to find all possible zeroes. Additionally, we will be utilizing Descarte's rule of sign to find possible positive and negative real zeroes. This video will demonstrate how to find all zeroes including imaginary zeroes. 
       The viewer needs to pay special attention to distributing the negative in order to find the factors. Additionally, it is crucial that the viewer focuses on using the zero hero answer row as the new header row for the next step. Once you have a quadratic, you can try to factor the polynomial or use the quadratic formula. It is important to remember that there could be imaginary or irrational zeroes.

Monday, September 16, 2013

SP # 2:Unit E Concept 7: Graphing Polynomial With Multiplicities

           The problem is about graphing a polynomial. This included finding the x-intercepts, y-intercept, zeroes with multiplicities, and end behavior. A polynomial is given in which we have to factor. This will help us determine how to graph the equation demonstrating how they behave at the extremas and in the middle.
           While graphing polynomials, special attention should be payed to a zeroes multiplicity so we know how to act around the x-axis. Additionally, it is important to remember that multiplicities of 1 go through the graph while two bounce, and three curve. We also need to pay close attention to the end behavior so we know what direction our graph should start and end at.

Monday, September 9, 2013

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

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SP# 1: Unit E Concept 1: Identifying x & y-intercepts, Vertex, Axis of Quadratics, and Graphing

       This problem is about changing an equation from standard from into parent function form so that it is easier to graph. In this problem, you are trying to find the vertex, x-intercepts, y-intercept, and the axis of symmetry. Multiple steps are necessary to finding the solution. These steps will ultimately make graphing the equation easier and more accurate.
       In order to understand, special attention should be given to finding the vertex. We must remember that h is the opposite of its sign in the parent function. Additionally, it is necessary to recall that the x-intercepts may have 1, 2 or none (imaginary) x-intercepts. Also, to better understand, we must also recognize that the parent function allows us to provide an accurate representation of the function.