Algebra II (Period 1)

Course Description: This course complements and expands the mathematical content and concepts of Algebra I and Geometry.  Students who master Algebra II will gain experience with algebraic solutions of problems in various content areas including:  analyzing functions in general, polynomial, rational, radical, absolute value, trigonometric, logarithmic and exponential functions, the complex number system, and modeling using these function types. Course curriculum is aligned with California State Common Core Algebra II Standards. Though more will be covered over the course of the year, the following essential standards/skills are what every student must master in order to be considered minimally proficient in this course:

 F-BF 3  Identify the effect on the graph of replacing f(x) by f(x)+ k , kf(x)and f(x+k) for specific values of k (both positive and negative); find the value of K give the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology.

 F-IF 7  Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

F-LE 4  For exponential models, express as a logarithm the solution to   where a, c,  and d are numbers and the base b is 2, 10 or e; evaluate the logarithm using technology. (Logarithms as solutions for exponentials.)

N-CN 2  Use the relation  and the commutative, associative and distributive properties to add, subtract and multiply complex numbers.

A-APR 3  Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

A-REI 2  Solve simple rational and radical equations in one-variable and give examples showing two extraneous solutions may arise.

A- TF 2  Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.

S-ID 4  Use the mean and standard deviation of data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.