Friday, December 6, 2013

SP #6: Unit K Concept 10: Writing a repeating decimal as a rational number using geometric series

Make sure to pay attention to how I separated the repeating decimal; you need to count the zeroes. Do not forget to add in the whole number from the beginning or it will greatly affect your answer! Once you get your answer without using the calculator, you may plug the answer into the calculator and check if the decimal is correct. Make sure you remember the infinite summation notation and formula used in this student problem.

Thanks! Have a good night!! 

Friday, November 22, 2013

Fibonacci Haiku: Rain

(I drew this on sai so it doesn't have a source.)

Clouds
Heavy
Stormy Weather
Air is cold
Anything breathing finds warm shelter
Laying in bed I fall asleep to rain



Sunday, November 17, 2013

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

Make sure you carefully distributed all multiples to the correct numerators to match what you muliplied to your denominator. Pay close attention to the method used to eliminate variables in order to get from four variables to ONE. Also, don't forget to plug in the variables in the right area. 

Thursday, November 14, 2013

SP#4: Unit J Concept 5: Partial Decomposition w. distinct factors



Make sure you pay attention to how I solved for the overall equation by getting the least common denominator. This method is repeated in Part 2. You should also make sure you factor completely and correctly set up the like terms. Remember how to use rref( on your graphing calculator. 

Thanks for reading! Goodnight. 

Monday, November 11, 2013

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


Pay attention to the vocabulary because they will be used later on. You should also pay attention to how i solved for the Row-Echelon Form. Another thing to look out for is the correct method of using rref( to check your answer and the identity of an inconsistent system. 

My screen-recorder only lets me record for 5 minutes each video so there are two videos to watch... Thanks for your patience! Goodnight. 

Thursday, October 24, 2013

SV#4: Unit I Concept 2: Graphing logarithmic functions and identifying x-intercepts, y-intercepts, asymptote, domain, range



Pay close attention to the use of logs and the concepts we already went over in the previous unit. This is because solving and graphing logarithmic equations involves a lot of these necessary skills! Make sure you did all the work and understand it before moving on. Also remember the parent functions and the phrase that helps us remember what the range is and where we can find the asymptote.

Thanks for watching! Have a good day! 

SP#3: Unit I Concept 1: Graphing exponential functions and identifying x-intercept, y-intercept, asymptotes, domain, and range

Pay special attention the the use of logs throughout the template because these skills you need to master to draw these types of graphs! Make sure you understand the reasons why there are no x-intercepts. Please make sure you know how to plug the equation into your graphing calculator and how to find the key points because the minimum is 4. Memorize the parent functions and good luck! 

Tuesday, October 15, 2013

SV #3 Unit H Concept 7 Finding logs given approximations



This student video is about finding logs given approximations like finding treasure given clues. Clues all have the same base and different variables. You find those variables from dividing the log you have to find into the factors from the clues. These factors will tell you which variables are used and how you will construct them. You use prior knowledge from concept 5. 

Make sure to pay attention to how I am finding the factors like how you find prime numbers (which all of my factors/clues are!). You may also want to pay attention to all the properties that go into expanding logs. Make sure all your calculations are correct, your division does not have to be the same as mine because you will get the same answer as me as long as they are the whole numbers given in the clues. 

Thanks for watching! I finally fixed the quality of everything so my videos will be a lot nicer!! woot! 

Monday, October 7, 2013

SV #2 Unit G Concept 1-7 Graphing Asymptotes



This problem is about Graphing Asymptotes covering concepts 1-7. The video explains how to find the asymptotes and how to solve for them. It also explains how to find holes, the domain, and axis intercepts. Then, it shows how to graph everything from the asymptotes to the axis-intercepts. 

Make sure to pay special attention to how all of the steps are done such as the long division for the slant asymptote, factoring for the vertical asymptote, and canceling for the holes. The rest should be review. You may also want to pay attention to how I got the graph and check your work and your graphing calculator to see if you and I got the same answer. 

Thanks for watching! I really need to find a better program to record my screen resolution (at least you can hear what I'm talking about) so sorry for that. . .

Thursday, September 26, 2013

SV #1 Unit F Concept 10 Finding zeroes(real and complex) of a 5th or 4th degree Polynomial


ThisThis problem is about finding the real and complex zeroes of a degree polynomial, covering concept 10. The problem explains the steps required. These steps include finding all possible real zeroes, Descarte's rule of Signs, and adding/subtracting complex numbers.

Make sure to pay special attention to how all these steps are done. However, we have already learned all these concepts so this should be review. You may also want to pay attention to how to completely factor the ending quadratic because it gives us complex zeroes rather than real.

Thanks for watching! and sorry for the horrible quality... I'll try to fix it later on...  

Monday, September 16, 2013

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



This problem is about Graphing Simple Quadratics. According to Mrs. Kirch's instructions, I went backwards from the zeroes/x-intercepts I came up with which, in turn, were used to get my factors and my polynomial after multiplying my factors together. My equation can tell me the end behavior of the graph and also my y-intercept by solving for 'y' when 'x=0.' Finally, referencing to what the multiplicities meant on a graph, I drew my graph. 

Be sure to understand what the number of multiplicities mean. (M1: Through, M2: Bounce, M3: Curve). Take notice that my graph follows my x-intercepts and my y-intercept. To check your answer, you can enter the polynomial into a graphing calculator. 

Sunday, September 8, 2013

SP#1: Unit 4 Concept 1: Graphing a quadratic and identifying all key parts

This problem is about Quadratics in standard form. I shifted the quadratic from standard form to a parent function making my sketch of the graph more accurate and detailed.With the parent function, I completed the square in order to find my graphing equation which allowed me to find the vertex, y-intercept, and axis of symmetry. Then I solved that equation to get my x-intercepts.

You have to pay attention to how I completed the square, used f(x)=a(x-h)^2+k to determine vertex, y-intercept, axis, & x-intercept(s), and ultimately drew my graph.(h,k) determines what my vertex is. Solving the standard form when x=0 gives me my y-intercept. My axis of symmetry is the x-value of my vertex.