#### AII.1: The student will perform operations with rational, radical, and polynomial expressions, as well as expressions involving complex numbers.

AII.1.1: Rational Exponents

AII.1.1.b: Add, subtract, multiply, divide, and simplify radical expressions and expressions containing rational exponents.

AII.1.2: Polynomial and Rational Expressions

AII.1.2.a: Divide polynomial expressions by lower degree polynomials.

AII.1.3: Complex Numbers

AII.1.3.a: Recognize that to solve certain problems and equations, number systems need to be extended from real numbers to complex numbers.

AII.1.3.b: Add, subtract, multiply, divide, and simplify expressions involving complex numbers.

#### AII.2: The student will use the relationships among the solution of an equation, zero of a function, x-intercepts of a graph, and factors of a polynomial expression to solve problems involving relations and functions.

AII.2.1: Functions and Function Notation

AII.2.1.d: Use algebraic, interval, and set notations to specify the domain and range of functions of various types.

AII.2.1.e: Find and graph the inverse of a function, if it exists.

AII.2.2: Systems of Equations

AII.2.2.a: Model a situation that can be described by a system of equations or inequalities and use the model to answer questions about the situation.

AII.2.2.b: Solve systems of linear equations and inequalities using various methods and tools which may include substitution, elimination, matrices, graphing, and graphing calculators.

AII.2.3.a: Solve quadratic equations by graphing, factoring, completing the square and quadratic formula.

AII.2.3.b: Graph a quadratic function and identify the x- and y-intercepts and maximum or minimum value, using various methods and tools which may include a graphing calculator.

AII.2.4: Identify, graph, and write the equations of the conic sections (circle, ellipse, parabola, and hyperbola).

AII.2.5: Exponential and Logarithmic Functions

AII.2.5.a: Graph exponential and logarithmic functions.

AII.2.5.b: Apply the inverse relationship between exponential and logarithmic functions to convert from one form to another.

AII.2.5.c: Model a situation that can be described by an exponential or logarithmic function and use the model to answer questions about the situation.

AII.2.6: Polynomial Equations and Functions

AII.2.6.a: Solve polynomial equations using various methods and tools which may include factoring and synthetic division.

AII.2.6.c: Given the graph of a polynomial function, identify the x- and y-intercepts, relative maximums and relative minimums, using various methods and tools which may include a graphing calculator.

AII.2.7: Rational Equations and Functions

AII.2.7.c: Given the graph of a rational function, identify the x- and y-intercepts, asymptotes, using various methods and tools which may include a graphing calculator.

AII.2.7.d: Model a situation that can be described by a rational function and use the model to answer questions about the situation.

#### AII.3: The student will use data analysis and statistics to formulate and justify predictions from a set of data.

AII.3.1: Analysis of Collected Data Involving Two Variables

AII.3.1.b: Interpret results using a linear, exponential or quadratic model/equation.

AII.3.2: Measures of Central Tendency and Variability

AII.3.2.a: Analyze and synthesize data from a sample using appropriate measures of central tendency (mean, median, mode, weighted average).

AII.3.2.b: Analyze and synthesize data from a sample using appropriate measures of variability (range, variance, standard deviation).

AII.3.2.c: Use the characteristics of the Gaussian normal distribution (bell-shaped curve) to solve problems.

AII.3.2.d: Identify how given outliers affect representations of data.

AII.3.3: Identify and use arithmetic and geometric sequences and series to solve problems.

Correlation last revised: 5/21/2018

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