Algebra II
General Information
AII.1 The student, given rational, radical, or polynomial expressions, will
a) add, subtract, multiply, divide, and simplify rational algebraic expressions;
b) add, subtract, multiply, divide, and simplify radical expressions containing rational numbers and variables, and expressions containing rational exponents;
c) write radical expressions as expressions containing rational exponents and vice versa; and
d) factor polynomials completely.
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Factoring 
Matching activity 
AII.2 The student will investigate and apply the properties of arithmetic and geometric sequences and series to solve realworld problems, including writing the first n terms, finding the nth term, and evaluating summation formulas. Notation will include ? and an.
*Standard AII.2 will be assessed in the Functions and Statistics reporting category. (Revised March 2011)
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AII.3 The student will perform operations on complex numbers, express the results in simplest form using patterns of the powers of i, and identify field properties that are valid for the complex numbers.
AII.4 The student will solve, algebraically and graphically,
a) absolute value equations and inequalities;
b) quadratic equations over the set of complex numbers;
c) equations containing rational algebraic expressions; and
d) equations containing radical expressions.
Graphing calculators will be used for solving and for confirming the algebraic solutions.
AII.5 The student will solve nonlinear systems of equations, including linearquadratic and quadraticquadratic, algebraically and graphically. Graphing calculators will be used as a tool to visualize graphs and predict the number of solutions.
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AII.6 The student will recognize the general shape of function (absolute value, square root, cube root, rational, polynomial, exponential, and logarithmic) families and will convert between graphic and symbolic forms of functions. A transformational approach to graphing will be employed. Graphing calculators will be used as a tool to investigate the shapes and behaviors of these functions.
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AII.7 The student will investigate and analyze functions algebraically and graphically. Key concepts include
a) domain and range, including limited and discontinuous domains and ranges;
b) zeros;
c) x and yintercepts;
d) intervals in which a function is increasing or decreasing;
e) asymptotes;
f) end behavior;
g) inverse of a function; and
h) composition of multiple functions.
Graphing calculators will be used as a tool to assist in investigation of functions.
AII.8 The student will investigate and describe the relationships among solutions of an equation, zeros of a function, xintercepts of a graph, and factors of a polynomial expression.
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AII.9 The student will collect and analyze data, determine the equation of the curve of best fit, make predictions, and solve realworld problems, using mathematical models. Mathematical models will include polynomial, exponential, and logarithmic functions.
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AII.10 The student will identify, create, and solve realworld problems involving inverse variation, joint variation, and a combination of direct and inverse variations.
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AII.11 The student will identify properties of a normal distribution and apply those properties to determine probabilities associated with areas under the standard normal curve.
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AII.12 The student will compute and distinguish between permutations and combinations and use technology for applications.
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Review
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