WPP#9: Unit L Concept 4-8: Calculating Possibilities

SP#6: Unit K Concept 10: Writing a Repeating Decimal as a RepeatingDecimal using Geometric Series

1. Ignore the whole number for now. And write out the geometric series.
2. Find "a sub 1" and "r."
3. Plug the values into the geometric series formula. (Summation Notation, Evaluate, Sum)
4. Add the whole number to the sum. Simplify your answer.

You should pay special attention to how I wrote out a series using the repeating decimal. Also, make sure you add the whole number at the end. Finally, pay attention to how I plugged in the values into the geometric series formula. Good luck!

Fibonacci Haiku: Break

Break.

Rest.

A week.

Peaceful times.

Thanksgiving dinner.

There is always room for dessert.

Making precious memories with friends and family.

Procrastinating and cramming all your homework in on Sunday night with some regret. 

http://fc01.deviantart.net/fs71/f/2011/154/4/3/pokemon_rgb_by_mk3mty-d3hz832.png

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

 <- This is your problem

1. Set up the partial fraction decomposition problem

- set the numerator to A, B, C, etc.
- multiply the numerators with the LCD
- combine the like terms
- set up the system by making an equation for each of the like terms and getting rid of the x's

 1. Add the first two variable equations from your system to get Equation #1.
2. Use elimination to add the remaining two problems from the system to get Equation #2.
3. Add Equation #1 & Equation #2 using elimination to get Equation #3.
4. Use elimination to add Equation #3 with one of the equations from the system. Solve for A.
5. Plug A into one of the equations from the system. Solve for B.
6. Plug B into  the system. Solve for C.
7. Plug C into the system. Solve for D.

Plug A, B, C, & D into the original set up for partial fraction decomposition.













In this concept, pay special attention to how I set up the partial fraction decomposition problem. Also, examine how concepts 5 and 6 are different because this concept deals with repeated factors. Finally, take special care not to mess up in eliminating or substituting. Good luck!

SP#4: Unit J Concept 5:Partial Fraction Decomposition with Distinct Factors

 Part 1 - Composing

- find the LCD & multiply to the numerator
- combine the like terms

 Part 2 - Setting up the partial fraction decomposition problem

- set the numerator to A, B, C, etc.
- multiply the numerators with the LCD
- combine the like terms
- set up the system by making an equation for each of the like terms and getting rid of the x's








Plug the system into your calculator- rref to check work

The answers should be the numerators of the equation you started with in part 1.



In this concept, you need to pay special attention to how we set up the problem for distinct factors. Moreover, be careful when you combine the like terms because it is very easy to make a mistake. Finally, pay attention to how I set up the system and plugged it into the calculator.  Good luck!!

SV#5: Unit J Concept 3-4: Solving three-variable systems with Gaussian Elimination

To view my video, please click on the link HERE.

In this video, you should pay special attention to how I check my answers using rref on my calculator. Also, pay attention to which 0's I found first and how I got my staircase 1's. I also forgot to mention in the video that when you are looking for the first 0 in Row 3, Term 1, you will use either Row 1 or Row 2 to help you; you must use Row 1 to find the 2nd 0 in Row 2, Term 1; and you must use Row 2 to find the last 0 in Row 3, Term 2.  Good luck!

WPP #6: Unit I Concept 3-5: Compound Interest & Investment Application Problems

SV#4: Unit I Concept 2: Graphing logarithmic functions and identfying the x-intercept, y-intercept, asymptote, domain, and range

To view my video, please click on the link HERE.

In this video you should pay special attention to the order I solved the key parts of the logarithmic function. I skipped over the key points box in the beginning and did it last because it is easier to graph the points after we find all the other parts, such as the asymptote and x & y intercepts. Additionally, you should pay attention to how I solved for the x & y intercepts because they can be a little tricky. Good luck!

P.S. I'm sorry if my sniffling or coughing was distracting. I just got sick yesterday. :(

SP#3: Unit H Concept 1: Graphing Exponential Functions and Identifying Key Parts

Green Text (in case you can't read it):

Equation
- Take the opposite sign for h

Key Points
- Plug the equation into the y= graph in your calculator
- Use table to find values
- Plot




x-intercept
- Plug 0 in for y
- You cannot take the log of a negative number

 y-intercept
- Plug 0 in for x

Domain
- Always for exponential equations
- No restrictions on domain

Range
- All the values from -inf to -2

You need to pay close attention to why there is no x-intercept. Furthermore, you need to make sure you solve the y intercept correctly. Finally, you should choose good x-values for your key points, so that your graph will look as accurate as possible.

SV#3: Unit H Concept 7 - Finding Logs Given Approximations

To view my video, please click on the link HERE.

In order to fully understand this concept, you need to pay attention to certain key points. First, you must remember to list out the "given" clues.  The first one is log base b of b equals 1, and the second one is log base b of 1 equals 0. Furthermore, you need to pay special attention to how you are going to expand the log. Logs in the numerator are positive and logs in the denominator are negative. Finally, you need to make sure you substitute the variables in correctly and simplify completely.

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

To view my video, please click on the link HERE.

This video goes over Unit G Concepts 1-7, which is finding all the key parts of a rational function. My function is f(x)=(x^3+2x^2-8x)/(x^2+5x+4), which is a slant asymptote. However, you also need to find the vertical asymptote, holes, domain, x-intercepts, and y-intercept.  More importantly, you need to graph all these parts.

In order to fully understand these concepts,  you need to make sure you follow all the steps carefully. There is a lot of work to do, so it is easy to slip up and make a mistake.  Furthermore, you need to carefully pick x values to trace on your calculator, so you can easily graph the function. Good luck!

SV#1: Unit F Concept 10 - Finding all real and imaginary zeroes of a polynomial

To view my video, please click on the link HERE.

This concept covers finding the zeroes and factorization for a 4th or 5th degree polynomial. In the video, the problem is a fourth degree polynomial (f(x)= 28x^4+80x^3+93x^2+34x-7). Therefore, we have four zeroes. Two of which are real, and the other two are imaginary. The video explains each of the steps you need to take to find the zeroes of this polynomial.

In order to understand this concept, you should make sure to include each and every one of the steps.  For example, you can not forget to use "Descartes Rule of Signs" or else you won't know how many positive and negative zeroes there are.  Moreover, you need to double check your work as you go because if you make a mistake in the middle, it will affect the rest of the problem. If you need help, you can consult the video again!

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

This is an example of how to graph polynomials with multiplicities. The images show how to factor the polynomial and find the end behaviors. Furthermore, it shows the y intercept, which can be found by plugging 0 in for x in the original polynomial.
The viewer needs to pay special attention to the multiplicities of the factors, so they know how to graph the polynomial. Each multiplicity has a different behavior. Moreover, knowing the end behavior can also help graph the polynomial because it shows which way the graph ends are pointing.

WPP#4: Unit E Concept 3 - Maximizing Area

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

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

This is a quadratic function that we will change into a parent graph, and graph it. To graph this function, we need to find the vertex, y intercept, axis of symmetry, and x intercepts.  There are certain steps that need to be taken in order to graph quadratics.
The viewer needs to pay attention to signs of the vertex, because it is easy to overlook. The vertex is (h, k) and you need to make sure that you take the opposite sign of h.  Furthermore, you need to double check whether or not you have imaginary numbers. Finally, make sure you approximate the x-intercepts correctly.

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

WPP#1: Unit A Concept 6 - Linear Models