• ### Unit 1: Quadratic and Cubic Relationships

• 1.1 Complex Numbers

• 1.1.1 Simplifying Complex Numbers
• 1.1.2 Operations of Complex Numbers

• 1.2.1 Quadratic Equations with Complex Solutions
• 1.2.2 Quadratic Expressions with Complex Factors
• 1.3 Cubic Relationships

• 1.3.1 Sum/Difference of Two Cubes
• 1.3.2 Solving Cubic Equations
• ### Unit 2: Polynomial Relationships

• 2.1 Graphing Polynomial Relationships

• 2.1.1 Characteristics of Graphs of Polynomial Functions
• 2.1.2 Multiplicities of Zeroes
• 2.2 Solving Polynomial Relationships

• 2.2.1 Division of Polynomials
• 2.2.2 Remainder and Factor Theorem
• 2.2.3 Finding Roots of Polynomials
• 2.2.4 Writing Equations of Polynomials
• 2.3 Systems of Equations

• 2.3.1 Solving 3x3 Systems
• 2.3.2 Solving Nonlinear Systems by Graphing
• 2.3.3 Solving Nonlinear Systems Algebraically
• 2.3.4 Applications of Systems
• ### Unit 3: Rational Relationships

• 3.1 Rational Expressions

• 3.2 Rational Equations

• 3.3 Rational Inequalities

• ### Unit 4: Exponents and Radicals

• 4.1 Properties of Exponents

• 4.2 Simplifying with Real Number Exponents

• 4.3 Converting Roots and Rational Exponents

• ### Unit 5: Exponential/Logarithmic Relationships

• 5.1 Properties of Exponential and Logarithmic Functions

• 5.2 Solving Exponential Equations

• 5.3 Solving Logarithmic Equations

• ### Unit 6: Functions

• 6.1 Graphs of Functions

• 6.2 Inverse Functions