### A: Students will demonstrate number sense and apply number theory concepts.

#### A.A1: demonstrate an understanding of recursive formulas

Arithmetic Sequences

Geometric Sequences

#### A.A3: represent arithmetic and geometric sequences as ordered pairs and discrete graphs

Arithmetic and Geometric Sequences

#### A.A6: explain the connections between real and complex numbers

Points in the Complex Plane

### B: Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.

#### B.B1: describe the relationship between arithmetic operations and operations on rational algebraic expressions and equations

Dividing Exponential Expressions

Equivalent Algebraic Expressions I

Multiplying Exponential Expressions

#### B.B6: determine and apply the derivative of a function

Graphs of Derivative Functions

#### B.B9: apply operations on complex numbers both in rectangular and polar form

Points in the Complex Plane

### C: Students will explore, recognize, represent and apply patterns and relationships, both informally and formally.

#### C.C1: model problem situations using discrete structures such as sequences and recursive formulas

Arithmetic Sequences

Geometric Sequences

#### C.C3: model real-world phenomena using polynomial functions and rational functions

General Form of a Rational Function

Rational Functions

#### C.C5: use tables and graphs as tools to interpret expressions

Solving Equations on the Number Line

#### C.C6: demonstrate an understanding for asymptotic behavior

Exponential Functions

General Form of a Rational Function

Hyperbolas

Introduction to Exponential Functions

Logarithmic Functions

Rational Functions

#### C.C10: analyze and solve polynomial, rational, irrational, and absolute value equations

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

#### C.C11: solve polynomial, rational, irrational, and absolute value inequalities

Absolute Value Equations and Inequalities

Compound Inequalities

#### C.C13: extend an understanding for exponential growth and decay through multiple contexts

Compound Interest

#### C.C14: analyze relations, functions and their graphs

Absolute Value with Linear Functions

Exponential Functions

Introduction to Exponential Functions

Introduction to Functions

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Radical Functions

Standard Form of a Line

#### C.C15: determine the equations of polynomial and rational functions

General Form of a Rational Function

Graphs of Polynomial Functions

Quadratics in Factored Form

Rational Functions

#### C.C16: analyze the effect of parameter changes on the graphs of functions and express the changes using transformations

Introduction to Exponential Functions

Rational Functions

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions

Translations

Zap It! Game

#### C.C18: demonstrate an understanding for recursive formulas and how recursive formulas relate to a variety of sequences

Arithmetic Sequences

Geometric Sequences

#### C.C20: factor polynomial expressions

Factoring Special Products

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

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

#### C.C27: represent complex numbers in a variety of ways

Points in the Complex Plane

#### C.C28: construct and examine graphs in the complex and polar planes

Points in the Complex Plane

### E: Students will demonstrate spatial sense and apply geometric concepts, properties and relationships.

#### E.E2: develop and evaluate mathematical arguments and proofs

Biconditional Statements

Correlation last revised: 9/16/2020