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.

 Operations with Radical Expressions
 Simplifying Radical Expressions

AII.1.2: Polynomial and Rational Expressions

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

 Dividing Polynomials Using Synthetic Division

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.

 Points in the Complex Plane

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

 Points in the Complex Plane

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.c: Combine functions by composition.

 Function Machines 1 (Functions and Tables)

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

 Function Machines 3 (Functions and Problem Solving)
 Introduction to Functions
 Logarithmic Functions
 Radical Functions

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

 Exponential Functions
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Linear Functions
 Logarithmic Functions

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.

 Linear Programming
 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Standard Form)
 Systems of Linear Inequalities (Slope-intercept form)

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.

 Cat and Mouse (Modeling with Linear Systems)
 Linear Programming
 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)
 Systems of Linear Inequalities (Slope-intercept form)

AII.2.3: Quadratic Equations and Functions

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

 Modeling the Factorization of x2+bx+c
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Roots of a Quadratic

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.

 Quadratics in Factored Form
 Zap It! Game

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

 Circles
 Ellipses
 Hyperbolas
 Parabolas
 Zap It! Game

AII.2.5: Exponential and Logarithmic Functions

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

 Compound Interest
 Exponential Functions
 Introduction to Exponential Functions
 Logarithmic Functions

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

 Logarithmic Functions

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.

 Compound Interest

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.

 Dividing Polynomials Using Synthetic Division
 Modeling the Factorization of x2+bx+c

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.

 Graphs of Polynomial Functions
 Polynomials and Linear Factors

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.

 General Form of a Rational Function

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.

 General Form of a Rational Function
 Rational Functions

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.

 Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines

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).

 Describing Data Using Statistics
 Polling: City
 Populations and Samples

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

 Describing Data Using Statistics
 Polling: City
 Populations and Samples
 Real-Time Histogram

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

 Polling: City
 Populations and Samples

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

 Mean, Median, and Mode

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

 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Geometric Sequences

Correlation last revised: 1/20/2017

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.