WPP #9: Unit L Concept 4-8: FCP, Combinations, and Permutations

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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 2 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.

Fibonacci Haiku: Heels

 

 

Heels

Fabulous

I love them

Wouldn't change them for anything 

Wear them and you grow a few inches

 

 

 

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



     Please pay special attention to how  I got a, b& c. Look closely to how I checked my answer. How I got  my matrices. As well as where I got my equations and how i got the same denominator but different numerator. And what I did after. 
    

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

 

 

 

 



     For the first picture 1,special attention should be payed to multiplying out the numerator. Also, be careful when distributing negative numbers, you must distribute the negative to everything in the parentheses, then combine like terms. For the second picture 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 the third picture 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. 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.

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.

WPP #6: Unit I Concept 3-5:Compound Interest, Continuously Compounding Interest, and Investment Application

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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.

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  and goes up to infinity. Also when choosing key points, the 3rd key point should be h.

 



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

        It is important 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.

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

         The problem is about graphing a rational function. This video shows 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 important 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.

SV#1: Unit F Concept 10 - Finding all real and imaginary zeroes of a 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. The viewer needs to pay special attention to distributing the negative in order to find the factors. Additionally, it is important 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. ALSO, I MADE A MISTAKE IT IS SUPPOSE TO BE 9+ OR MINUS SQUARE ROOT OF 41/4.

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

 

 

           This problem is graphing a polynomial function when given a set of zeros. In this case, the zeros given were 2 M2,4M1, 1M1. From there, you have to find the end behavior and y-intercept. Finally, with the help of a graphing calculator, (if wanted) will help you find an accurate graph.

      There are several things to pay attention to when following this program.  The amount of zeros automatically tells us which degree this polynomial will be in (the 4th). Another thing to look out for is to pay attention to the zeros first because that is what were starting with.

        

 

WPP#4: Unit E Concept 3 - Maximizing Area

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WPP#3: Unit E Concept 2 - Path of Football (or other object)

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

   You are trying to find the vertex, x-intercepts, y-intercept, and the axis of symmetry.This problem is about changing an equation from standard from into parent function form so that it is easier to graph. 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 show an accurate representation of the function.

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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