Virginia- Mathematics: Algebra 2

Standards of Learning    Adopted: 2009

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AII.1: The student, given rational, radical, or polynomial expressions, will

AII.1.b: add, subtract, multiply, divide, and simplify radical expressions containing rational numbers and variables, and expressions containing rational exponents;

Operations with Radical Expressions
 Simplifying Radical Expressions

AII.1.d: factor polynomials completely.

Factoring Special Products
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c

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.

Points in the Complex Plane

AII.4: Graphing calculators will be used for solving and for confirming the algebraic solutions. The student will solve, algebraically and graphically,

AII.4.a: absolute value equations and inequalities;

Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions

AII.4.b: quadratic equations over the set of complex numbers;

Points in the Complex Plane
 Roots of a Quadratic

AII.4.d: equations containing radical expressions.

Radical Functions

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.

Absolute Value with Linear Functions
 Exponential Functions
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 General Form of a Rational Function
 Graphs of Polynomial Functions
 Introduction to Exponential Functions
 Introduction to Functions
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Quadratics in Vertex Form
 Radical Functions
 Rational Functions

AII.7: Graphing calculators will be used as a tool to assist in investigation of functions. The student will investigate and analyze functions algebraically and graphically. Key concepts include

AII.7.a: domain and range, including limited and discontinuous domains and ranges;

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

AII.7.b: zeros;

Graphs of Polynomial Functions
 Polynomials and Linear Factors

AII.7.c: x- and y-intercepts;

Cat and Mouse (Modeling with Linear Systems)
 Graphs of Polynomial Functions
 Linear Functions
 Logarithmic Functions
 Slope-Intercept Form of a Line

AII.7.e: asymptotes;

Exponential Functions
 General Form of a Rational Function
 Introduction to Exponential Functions
 Logarithmic Functions
 Rational Functions

AII.7.f: end behavior;

Exponential Functions
 General Form of a Rational Function
 Graphs of Polynomial Functions
 Introduction to Exponential Functions
 Logarithmic Functions
 Rational Functions

AII.7.g: inverse of a function; and

Function Machines 3 (Functions and Problem Solving)
 Logarithmic Functions

AII.7.h: composition of multiple functions.

Function Machines 1 (Functions and Tables)

AII.8: The student will investigate and describe the relationships among solutions of an equation, zeros of a function, x-intercepts of a graph, and factors of a polynomial expression.

Modeling the Factorization of x2+bx+c
 Points, Lines, and Equations
 Polynomials and Linear Factors

AII.9: The student will collect and analyze data, determine the equation of the curve of best fit, make predictions, and solve real-world problems, using mathematical models. Mathematical models will include polynomial, exponential, and logarithmic functions.

Describing Data Using Statistics
 Estimating Population Size
 Introduction to Exponential Functions
 Least-Squares Best Fit Lines
 Polling: City
 Real-Time Histogram
 Solving Using Trend Lines
 Trends in Scatter Plots

AII.10: The student will identify, create, and solve real-world problems involving inverse variation, joint variation, and a combination of direct and inverse variations.

Direct and Inverse Variation

AII.12: The student will compute and distinguish between permutations and combinations and use technology for applications.

Binomial Probabilities
 Permutations and Combinations

Correlation last revised: 9/16/2020

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