Fibonacci Haiku: Cheescake

Sweet

Delicious

Cheesy goodness

I love cheesecake

Cheesecake makes me very happy

I cannot wait to eat some yummy cheescake

https://www.google.com/search?q=cheesecake&rlz=1C1AFAB_enUS444US551&espv=210&es_sm=93&source=lnms&tbm=isch&sa=X&ei=pLiSUuqbDMPXoATuz4G4DA&ved=0CAkQ_AUoAQ&biw=1366&bih=666#facrc=_&imgdii=_&imgrc=L78fOTuGgmmIaM%3A%3Br3ZMuqf6cbM0hM%3Bhttp%253A%252F%252Fimages2.wikia.nocookie.net%252F__cb20130424011630%252Fbattlefield%252Fimages%252F4%252F44%252FCheesecake.jpg%3Bhttp%253A%252F%252Fbattlefield.wikia.com%252Fwiki%252FFile%253ACheesecake.jpg%3B431%3B360

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

The viewer needs to pay special attention to adding the variables that correspond with eachother. Make sure you add or subtract them correctly. The denominators must be all be common. Make sure that when you set up your A,B and C fraction, that on the repeating factor you count up! When using the rref function, make sure it is input properly.

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

The viewer needs to pay special attention to the series of steps it takes to decompose then to compose the problem back together. Notice the answer boxed on the bottom of the page matches the equation we first started with, 1-x+3 -3/x+1 +4/x+2. Pay special attention to the distribution to the factors after having found the common denominator. Be careful when using rref to find the solution, make sure it is plugged in correctly into your calculator.

SV#5: Unit J Concepts 3-4: Solving Three-Variable Systems with Gaussian Elimination

The viewer needs to pay special attention to the four steps of the Gaussian Elimination. Make sure you have plugged in the system correctly into your matrix. Look over that your adding/subtracting is done correctly so no simple mistakes are done. The end where you find each value, make sure that you check on your calculator using rref to make sure your answers are correct. Always double check to make sure each step was done correctly and followed the steps to the Gaussian Elimination.

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

The viewer needs to pay special attention to the way the asymptote affects the graph and sets the boundaries for our graph. The points that we find must correspond with the asymptote. The slant asymptote must also make sense on the graph. Also, pay attention to the holes in our graph. Remember where the domain comes from (DIVAH).

SV #4: Unit I Concept 2: Graphing Logarithmic Functions

Please pay special attention to how i found my key points and how I plugged the equation into the y= screen. Also notice how the range is not restricted but the domain is. Also notice where the asymptote comes from and how the graph should not cross the asymptote boundary.
The trickiest part would probably be plugging the equation to find the key points. You have to remember to take the ln of the log because it is not base 10. Another tricky part is making sure your points make sense on the graph and correspond to the asymptote.

WPP #6: Unit I Concept 3-5: Investment Applications

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SP #3: Unit I Concept 1: Graphing Exponential Functions and identifying the parts

The viewer should pay special attention to the y-intercept step; when we multiply the fraction by -1 it becomes the inverse of the 1/2. The trickiest part is probably not mixing up your domain and range and making sure you know that the range is limited.

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

The viewer should pay special attention to the clues given in order to solve for the "treasure hunt". There is a clue that is used twice when simplifying and the log must have a 2 in front to represent the ^2. Pay attention to how we put the letters together at the end, that we get from expanding the logs.
 The trickiest part would probably be expanding the logs and making sure you distribute each number correctly with the signs. Another thing to take note of would be to check that you get only values that are given to find the letters.

SV#1: Unit F Concept 10: Finding all zeroes to a polynomial

This problem is about finding all zeroes to a given polynomial with a 4th or 5th degree. We use the Rational Roots Theorem and the Descartes Rule of Signs to help us figure out the steps toward finding our zeroes. We then use synthetic division to find zero heroes and simplify our polynomial. Once we have simplified to a quadratic we complete the square, use the quadratic formula or factor to find all the zeroes.

The viewer needs to pay special attention to when it is appropriate to use a new home row. They also need to make sure that they factor correctly at the end to find the remaining zeroes. Also pay attention to the possible p/q's and make sure it makes sense what values to use based on what the Descartes Rule of Signs says.

SP #2: Unit E Concept 7: Graphing Polynomials and Identifying All Parts

The problem above shows the work I did to find points making it possible for me to graph the polynomial. You have to graph your equation completely. Once you have factored it out, you find the zeroes of the polynomial and that will give you the x-intercepts. To solve for the y-intercept, you plug 0 into the original equation.

The problem is about finding an equation that will allow you to graph the polynomial. We use the equation factored out to find the zeroes of the polynomial. The problem also includes finding the end behavior of the graph by looking at the leading coefficient and the exponent on the first term. That will determine what direction the ends of the graph will be.

The viewer needs to pay attention to their accuracy of the graph by plotting the y-intercept and the x-intercepts. They also need to make sure that they do the graph correctly using the multiplicity of the zeroes to determine how the graph will act around the x-axis. It will either be T-through for multiplicity of 1, B-bounce for multiplicity of 2, or C-curve for multiplicity of 3.

WPP #4: Unit E Concept 3: Quadratic Applications (Max Area)

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WPP #3: Unit E Concept 2: Quadratic Applications

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SP#1: Unit E Concept 1: Identifying all parts of quadratics and graphing them

The work I showed helped solve to find the parent graph and the x-intercepts. The work for the x-intercepts is under the headline "solve". Next to the equation f(x) there is an arrow pointing where I plugged in 0 for x, that was the equation I used to solve for the y-intercept. The axis of the equation should just be h.

The problem is about solving the quadratic and then using that information to graph it. We use the quadratic to solve for all the parts like the parent function, vertex, x and y intercepts, and the axis. This information will make it easier for us to graph the quadratic.

The viewer needs to pay attention to the signs of the quadratic and to make sure to double check calculations. Its easier to find the parent graph first as it will be easier to use that information. Most of the information can be found from the parent graph like the vertex and axis. Then solve the quadratic and make sure to look for the squared roots and make sure you solve for the +- for each solution.

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

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WPP#1: Unit A Concept 6: Writing and Solving Linear Models

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