EO: Expressions and Operations

EO.AII.1: The student will

EO.AII.1.a: add, subtract, multiply, divide, and simplify rational algebraic expressions;

 Dividing Exponential Expressions
 Solving Algebraic Equations I
 Solving Algebraic Equations II

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

 Operations with Radical Expressions
 Simplifying Radical Expressions

EO.AII.1.c: factor polynomials completely in one or two variables.

 Equivalent Algebraic Expressions II
 Factoring Special Products
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II

EO.AII.2: The student will perform operations on complex numbers and express the results in simplest form using patterns of the powers of i.

 Points in the Complex Plane

EI: Equations and Inequalities

EI.AII.3: The student will solve

EI.AII.3.a: absolute value linear equations and inequalities;

 Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions

EI.AII.3.b: quadratic equations over the set of complex numbers;

 Points in the Complex Plane
 Roots of a Quadratic

EI.AII.3.c: equations containing rational algebraic expressions; and

 Solving Algebraic Equations II

EI.AII.3.d: equations containing radical expressions.

 Radical Functions

F: Functions

F.AII.5: The student will investigate and apply the properties of arithmetic and geometric sequences and series to solve practical problems, including writing the first n terms, determining then nth term, and evaluating summation formulas. Notation will include ∑ and aₙ.

 Arithmetic Sequences
 Geometric Sequences

F.AII.6: For absolute value, square root, cube root, rational, polynomial, exponential, and logarithmic functions, the student will

F.AII.6.a: recognize the general shape of function families; and

 Absolute Value with Linear Functions
 Exponential Functions
 General Form of a Rational Function
 Graphs of Polynomial Functions
 Introduction to Exponential Functions
 Radical Functions
 Rational Functions

F.AII.6.b: use knowledge of transformations to convert between equations and the corresponding graphs of functions.

 Rational Functions
 Translating and Scaling Functions

F.AII.7: The student will investigate and analyze linear, quadratic, absolute value, square root, cube root, rational, polynomial, exponential, and logarithmic function families algebraically and graphically. Key concepts include

F.AII.7.a: domain, range, and continuity;

 General Form of a Rational Function
 Logarithmic Functions
 Radical Functions

F.AII.7.c: extrema;

 Absolute Value with Linear Functions
 Graphs of Polynomial Functions
 Quadratics in Factored Form
 Radical Functions
 Zap It! Game

F.AII.7.d: zeros;

 Graphs of Polynomial Functions
 Logarithmic Functions
 Polynomials and Linear Factors

F.AII.7.e: intercepts;

 Exponential Functions
 Graphs of Polynomial Functions
 Linear Functions
 Points, Lines, and Equations
 Polynomials and Linear Factors
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Roots of a Quadratic
 Slope-Intercept Form of a Line

F.AII.7.f: values of a function for elements in its domain;

 Exponential Functions
 General Form of a Rational Function
 Logarithmic Functions
 Point-Slope Form of a Line
 Radical Functions
 Slope-Intercept Form of a Line

F.AII.7.g: connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs;

 Linear Functions

F.AII.7.h: end behavior;

 Graphs of Polynomial Functions

F.AII.7.i: vertical and horizontal asymptotes;

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

F.AII.7.j: inverse of a function; and

 Logarithmic Functions

F.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.

 Polynomials and Linear Factors
 Roots of a Quadratic

S: Statistics

S.AII.9: The student will collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve practical problems, using mathematical models of quadratic and exponential functions.

 Least-Squares Best Fit Lines
 Solving Using Trend Lines

S.AII.10: The student will represent and solve problems, including practical problems, involving inverse variation, joint variation, and a combination of direct and inverse variations.

 Direct and Inverse Variation

S.AII.11: The student will

S.AII.11.a: identify and describe properties of a normal distribution;

 Polling: City
 Populations and Samples
 Real-Time Histogram
 Sight vs. Sound Reactions

S.AII.11.c: apply properties of normal distributions to determine probabilities associated with areas under the standard normal curve.

 Polling: City

S.AII.12: The student will compute and distinguish between permutations and combinations.

 Binomial Probabilities
 Permutations and Combinations

Correlation last revised: 4/12/2017

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