SP #7: Unit Q: Concept 2

“Please see my SP7, made in collaboration with Marisol R. by visiting their blog here.  Also be sure to check out the other awesome posts on their blog”

SP #6: Unit K Concept 10: Writing a repeating decimal as a rational number using geometric series (no calculator)

The viewer should pay special attention to writing the correct formula (infinite geometric series formula) for the summation notation and when plugging in your values to the formula. Evaluating the sum will be the trickiest because you do not have a calculator to plug the values into so be careful with your division.

Unit J Concept 6: SP 5- Partial Fraction decomposition with repeated factors

The viewer must pay special attention when distributing the common denominator to each numerator and denominator because if you make mistakes there you won't be able to get your correct answer. Also pay attention when combining like terms because adding and subtracting wrong will give you incorrect answers to your steps and final answer, as well.

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

The viewer must pay special attention to distributing your common denominator and combining like terms to get the correct system in the end. Be sure to plug in your row's terms into the rref feature in your calculator to check your answer. Your answer should match up your original fraction's numerator.

SP3 Unit I: Graphing exponential functions and identifying x-intercept, y-intercept, asymptotes, domain, range

 Identify all parts of the equation (a,b,h, and k) and know how they affect your graph. So understand that "a" shows that the graph will be below the asymptote and "b" shows that the asymptote is at -2. The viewer needs to pay special attention to the x-intercept. You cannot take the log of a negative number. Thus, it is undefined and you have no x-intercept. Make sure you input your equation correctly into your y= screen. Use your table to plug in the x-values that will give you a more accurate sketch of the graph and obtain the values for your key points. Remember "The EXPONENTIAL YaK Died."- exponential graphs have an asymptote of y=k, leading to no restrictions on the domain. For the range, go from the lowest most negative point up to the asymptote, -2.
    

SP#2: Unit E Concept 7- Graphing polynomials, including x-intercept, y-intercept, zeroes, (with multiplicities), end behavior

This problem is about graphing polynomials using its x-intercept, y-intercept, zeroes (with multiplicities), and end behavior. Factoring the equation will help you find the zeroes that will help you graph the points of the equation on the graph. It's end behavior allows you to know the direction of the arrows and then you graph the y-intercept.

Pay special attention to the multiplicity of the zeroes so you know how to act around the x-axis! A multiplicity of 1(T) will go straight through the graph, 2 (B) will bounce off the graph; does not cross the x-axis, and 3 (C) will curve through the graph.

SP#1: Unit E Concept 1- Identifying x-intercepts, y-intercepts, vertex (max,min), axis of quadratics, and graphing them

In this problem, in order to graph the equation more easily we complete the square in standard form to put it in parent function form: a(x-h)^2+k. Our graph includes 4 points: the vertex, y-intercept, axis and x-intercepts.

Pay attention to the max and min of the vertex so in our case it is min because the "a" in the equation is positive. Note that when solving for your x-intercepts you may end up with two,one or none (imaginary) x-intercepts so when you have your x-intercept, plug it into a calculator you have your exact and approximate x-intercepts.