Priority Academic Student Skills
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.2.1: Functions and Function Notation
AII.2.1.c: Combine functions by composition.
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: Quadratic Equations and Functions
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.3.1: 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: 1/20/2017