SP#7:Unit Q Concept 2

This SP7 was made in collaboration with Jorge Barroso.  Please visit the other awesome posts on their blog by going here.

The viewer needs to pay attention on how to use identities and remember how to use SOHCAHTOA from unit O concept 5.

Pert 1:Identities

Part 2:SOHCAHTOA

Part 2

Part 2

Part2

Part 2

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 get 165/33, multiply the numerator with 5 from the problem and leave the denominator the same. To check if its right just plug in the fraction into the calculator. 

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

Pay special attention for any mistakes. 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#3 Unit I Concept 1: Graphing exponential functions and identifying x and y-intercept, asymptotes, domain, range

In concept 1 you'll be able to graph exponential and logarithmic functions from unit H. The graph includes intercepts, asymptotes, domain, and range. it not like other graph from algebra 1 or 2. 

Always remember the the phrase YaK Died to get the asymptotes. Solve carefully because this graph doesn't include an x-intercept and don't just leave the answer but explain why. This graph has no restrictions on the domain.

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

     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 and y-intercepts, vertex, axis of quadratics and graphing them.

     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.