SP#7: Unit Q Concept 2: Pythagorean/Ratio/Reciprocal Identities with SOH CAH TOA

Please see my SP7, made in collaboration with Trisha M., 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

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!! 

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. 

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. 

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! 

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. 

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.