SV #5 Unit J Concept 3-4 - Matrices

The student should make sure that they are paying attention to their multiplying and adding/subtracting. If they make a mistake in this then it could make it harder for the student to get the zeroes and stairstep 1's, making the process take longer. The student should pay close attention to when they are inputting in their numbers in the calculator, they should double check that they inputted the things correctly. 

*forgot to mention in video, when plugging in the original 3 equations into the calculator, what you do is you press 2nd and then matrix. You go to edit and you plug in all the equations as you see it. Then press 2nd quit and go back to 2nd matrix. Go to MATH and scroll until you find rref(. You select that and go back to 2nd matrix. You then select A because it is the matrix that you have filled in earlier. Then add the  parenthesis to close the problem. Click enter and the matrix should pop up. You should see the three 0's and it equals 1. The three 0's in row 3 confirm that our system is INCONSISTENT. 

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

The students needs to remember that in this concept, the range is going to be (negative infinity, positive infinity) and NOT the domain (that is concept 1). Also they need to remember that when they are plotting the asymptote, it has to be vertical, not horizontal (that is concept 1). The student also needs to remember that the graph will be going on forever, so the picture in their calculator is not the entire graph (remember to draw arrows at the end of graph). 

Problem: Log 5 (x + 4) - 2

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

Problem: 945/96

The student must pay attention when they are finding the factors of 945/96. They must remember that they are only allowed to use factors from the numbers that are given to them in the clues. They may be tempted to break down the numbers further, but they must remember to only use numbers given to them. Also be careful when putting the addition/subtraction signs, pay attention to which are multiplied (the numerator) and which are divided (denominator).

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

So in this concept, you will be determining the asymptote of a function. You will determine if it is a horizontal asymptote, a slant asymptote, a vertical asymptote and if it has a hole or not. You will then find its domain, x-intercepts, y-intercepts and then plot and graph its points. You will be learning how to do this problem:
(x^3 + 3x^2 +2x) / (x^2 -3x -4)

The viewer needs to pay attention to the degrees of the function because it determines what kind of asymptote the function is. They also to need to pay attention when using long division when finding the slant.

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

In this concept you will be finding the zeroes of a polynomial that is not factorable. Not only that, but you will also find the imaginary zeroes, even though this concept is similar to concept 6, remember that you will be finding imaginary numbers in this concept. You will be using the skills from previous concepts like p's and q's, Descartes's Rule of Signs and synthetic division and a skill from earlier units like either completing the square or using the quadratic formula.




Be careful when doing synthetic division because you might make a mistake if you rush and that can keep you from finding your zero hero resulting in taking a longer time to solve a problem (which is terrible when taking a test). Also be careful when using the quadratic formula, make sure your signs are correct and you have the correct terms in place. Make sure than when you are using the Rule of Signs, you are changing the ones that have a negative exponent and keeping the ones with a positive exponent the same!