SP 11: Unit R Concept 3 Type 2- Trig of an inverse trig function (use sum and difference to prove)

SP #7: Unit Q Concept 2

Please see my SP7, made in collaboration with Joe Castillo, 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.

The viewer needs to know the the geometric series formula. To get the ratio, divide the second term with the first term. To check if its right just plug the fraction into the calculator.

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

This concept deals with repeated factors to you must count up the powers. Set up the factors in A,B,C, etc. letters. Towards the end use the calculator in RREF to get the answer to do back substitution to check your answer is right.

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

Pay spacial attention for any mistakes. Make sure to separate the denominators with letters (A,B,C, etc). Multiply each denominator with what its missing and group all the like terms. At the end make sure to put A,B,C, etc. back to its corresponding fractions from the beginning.

SP#2: Unit E Concept 7: Graphing polynomials, including: x-int, zeroes (with multiplicities), end behavior. All polynomials will be factorable.

 In concept 7, you'll be able to do a full evaluation of factorable polynomials and describe every aspect. The aspects are how the extremes behave, how the middle behaves, where the highest and lowest points are, where the intercepts are, and what intervals they are (increasing or decreasing).

     Pay attention in the multiplicity of zeros because its a big deal. if the multiplicity is 1 the graph goes through or if its 2 the graph bounces or if its 3 the graph curves. Each multiplicity represents a gate, so the graph can't go through unless there's a gate. To find the extremes you must use the graphing calculator using second calc.

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

This concept will more into detail for graphing quadratics.in unit B, you only graph the quadratic using the shifts of the parent function. now you'll go a step further to make the graph more accurate and detailed by identifying the vertex, x and y-intercepts, and the axis of symmetry.
     Pay attention to start in standard form (f(x)=ax^2+bx+c) then complete the square to put the parent function form in f(x)=a(x-h)^2+k. The graph will include 2 to 4 points, those points will be the vertex, the x and y-intercepts, and the axis. To get the vertex its the (h,k) of the parent function, h will always be the opposite ex. h=2 it will be -2 for the vertex.

SP #3 Unit I Concept 1: Graphing Exponential Functions

In this concept you will be learning how to graph exponential functions as well as identify the x-intercepts, y-intercepts, asymptotes, domain and range. The parent graph is y = a times b^(x-h) + k. You will be using the parent graph to find the asymptote, the x-intercepts, y-intercepts, domain and range.

Be careful plugging 0 into y to find the x-intercept as well as plugging in 0 for x when finding the y intercept. Make sure that you are using your algebra solving skills correctly when finding the intercepts. Remember that you CANNOT take the log or natural log of a negative number (if is undefined and that means that you will not have a x intercept). Remember to put arrows on the ends of your graph because it goes on forever.

Problem: f(x) = 3(2^x-5)+4