Academic Standards

A2.1.1: Recognize and graph various types of functions, including polynomial, rational, and algebraic functions.

General Form of a Rational Function

Graphs of Polynomial Functions

Polynomials and Linear Factors

Quadratics in Factored Form

Rational Functions

A2.1.2: Use function notation. Add, subtract, multiply, and divide pairs of functions.

Addition and Subtraction of Functions

Function Machines 1 (Functions and Tables)

Function Machines 3 (Functions and Problem Solving)

A2.1.3: Understand composition of functions and combine functions by composition.

Function Machines 1 (Functions and Tables)

A2.1.4: Graph relations and functions with and without graphing technology.

Absolute Value with Linear Functions

Exponential Functions

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Introduction to Exponential Functions

Introduction to Functions

Linear Functions

Points, Lines, and Equations

Quadratics in Factored Form

Quadratics in Polynomial Form

Radical Functions

A2.1.5: Find the zeros of a function.

Modeling the Factorization of *x*^{2}+*bx*+*c*

Polynomials and Linear Factors

Roots of a Quadratic

A2.1.6: Solve an inequality by examining the graph.

Absolute Value Equations and Inequalities

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Quadratic Inequalities

Solving Linear Inequalities in One Variable

Systems of Linear Inequalities (Slope-intercept form)

A2.1.7: Graph functions defined piece-wise.

Absolute Value with Linear Functions

A2.1.8: Interpret given situations as functions in graphs, formulas, and words.

Absolute Value with Linear Functions

Exponential Functions

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Introduction to Exponential Functions

Linear Functions

Points, Lines, and Equations

Quadratics in Factored Form

Quadratics in Polynomial Form

Radical Functions

A2.2.1: Graph absolute value equations and inequalities.

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

Compound Inequalities

A2.2.2: Use substitution, elimination, and matrices to solve systems of two or three linear equations in two or three variables.

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

A2.2.3: Use systems of linear equations and inequalities to solve word problems.

Cat and Mouse (Modeling with Linear Systems)

Linear Programming

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Standard Form)

A2.2.4: Find a linear equation that models a data set using the median fit method and use the model to make predictions.

Least-Squares Best Fit Lines

Solving Using Trend Lines

A2.3.1: Define complex numbers and perform basic operations with them.

Points in the Complex Plane

Roots of a Quadratic

A2.3.2: Understand how real and complex numbers are related, including plotting complex numbers as points in the plane.

A2.3.3: Solve quadratic equations in the complex number system.

Points in the Complex Plane

Roots of a Quadratic

A2.3.4: Graph quadratic functions. Apply transformations to quadratic functions. Find and interpret the zeros and maximum or minimum value of quadratic functions.

Addition and Subtraction of Functions

Exponential Functions

Modeling the Factorization of *x*^{2}+*bx*+*c*

Quadratics in Factored Form

Quadratics in Polynomial Form

Roots of a Quadratic

Translating and Scaling Functions

Translations

Zap It! Game

A2.3.6: Solve equations that contain radical expressions.

Operations with Radical Expressions

A2.4.1: Write the equations of conic sections (circle, ellipse, parabola, and hyperbola).

Circles

Ellipses

Hyperbolas

Parabolas

A2.4.2: Graph conic sections.

Circles

Ellipses

Hyperbolas

Parabolas

Zap It! Game

A2.5.2: Divide polynomials by others of lower degree.

Dividing Polynomials Using Synthetic Division

A2.5.3: Factor polynomials completely and solve polynomial equations by factoring.

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

A2.6.1: Understand and use negative and fractional exponents.

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

A2.6.4: Solve equations involving algebraic fractions.

Solving Algebraic Equations II

A2.6.6: Solve problems of direct, inverse, and joint variation.

Determining a Spring Constant

Direct and Inverse Variation

A2.7.1: Graph exponential functions.

Compound Interest

Exponential Functions

Introduction to Exponential Functions

Logarithmic Functions

A2.7.4: Solve logarithmic and exponential equations and inequalities.

A2.8.1: Define arithmetic and geometric sequences and series.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

A2.8.2: Find specified terms of arithmetic and geometric sequences.

Arithmetic Sequences

Geometric Sequences

A2.9.1: Understand and apply counting principles to compute combinations and permutations.

Binomial Probabilities

Permutations and Combinations

A2.9.2: Use the basic counting principle, combinations, and permutations to compute probabilities.

Binomial Probabilities

Permutations and Combinations

A2.10.1: Use a variety of problem-solving strategies, such as drawing a diagram, guess-and-check, solving a simpler problem, writing an equation, and working backwards.

Absolute Value Equations and Inequalities

Linear Inequalities in Two Variables

Modeling One-Step Equations

Solving Equations on the Number Line

Using Algebraic Equations

A2.10.4: Use the properties of number systems and the order of operations to justify the steps of simplifying functions and solving equations.

Solving Algebraic Equations II

Solving Equations on the Number Line

A2.10.5: Understand that the logic of equation solving begins with the assumption that the variable is a number that satisfies the equation, and that the steps taken when solving equations create new equations that have, in most cases, the same solution set as the original. Understand that similar logic applies to solving systems of equations simultaneously. .

Solving Linear Systems (Standard Form)

A2.10.6: Use counterexamples to show that statements are false.

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.