PC.1: Explore and illustrate the characteristics and operations connecting sequences and series.

PC.1.a: Express sequences and series using recursive and explicit formulas.

 Arithmetic Sequences
 Geometric Sequences

PC.1.b: Evaluate and apply formulas for arithmetic and geometric sequences and series.

 Arithmetic Sequences
 Geometric Sequences

PC.2: Analyze, manipulate, and solve equations and inequalities.

PC.2.a: Determine characteristics of graphs of parent functions (domain/range, increasing/decreasing intervals, intercepts, symmetry, end behavior, and asymptotic behavior).

 Exponential Functions
 General Form of a Rational Function
 Graphs of Polynomial Functions
 Logarithmic Functions
 Radical Functions

PC.2.b: Determine horizontal, vertical, and slant asymptotes and holes of rational functions and explain how each was found.

 General Form of a Rational Function

PC.2.c: Determine the domain and range of functions, including piece-wise functions.

 Exponential Functions
 Introduction to Functions
 Logarithmic Functions
 Radical Functions

PC.2.f: Solve exponential and logarithmic equations to include real-world applications.

 Exponential Functions

PC.2.h: Find the zeros of polynomial functions by synthetic division and the Factor Theorem.

 Dividing Polynomials Using Synthetic Division
 Polynomials and Linear Factors

PC.2.i: Graph and solve quadratic inequalities.

 Quadratic Inequalities

PC.3: Recognize, sketch, and transform graphs of functions.

PC.3.a: Describe the attributes of graphs and the general equations of parent functions (linear, quadratic, cubic, absolute value, rational, exponential, logarithmic, square root, cube root, and greatest integer).

 Absolute Value with Linear Functions
 Addition and Subtraction of Functions
 Exponential Functions
 General Form of a Rational Function
 Graphs of Polynomial Functions
 Introduction to Exponential Functions
 Linear Functions
 Logarithmic Functions
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Quadratics in Vertex Form
 Radical Functions
 Rational Functions
 Slope-Intercept Form of a Line
 Translating and Scaling Functions
 Zap It! Game

PC.3.b: Explain the effects of changing the parameters in transformations of functions.

 Absolute Value with Linear Functions
 Introduction to Exponential Functions
 Rational Functions
 Translating and Scaling Functions
 Translating and Scaling Sine and Cosine Functions
 Translations
 Zap It! Game

PC.3.c: Predict the shapes of graphs of exponential, logarithmic, rational, and piece-wise functions, and verify the prediction with and without technology.

 Absolute Value with Linear Functions
 Exponential Functions
 General Form of a Rational Function
 Introduction to Exponential Functions
 Logarithmic Functions
 Rational Functions

Correlation last revised: 5/17/2018

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