 ###### Pre-Calculus
• The Complex Number System

• Perform arithmetic operations with complex numbers.

• Represent complex numbers and their operations on the complex plane.

• Vector and Matrix Quantities

• Represent and model with vector quantities.

• Perform operations on vectors.

• Perform operations on matrices and use matrices in applications.

• Seeing Structure in Expressions

• Interpret the structure of expressions.

• Arithmetic with Polynomials and Rational Expressions

• Rewrite rational expressions.

• Creating Equations

• Create equations that describe numbers or relationships.

• Reasoning with Equations and Inequalities

• Solve systems of equations.

• Interpreting Functions

• Interpret functions that arise in applications in terms of the context.

• Analyze functions using different representations.

• Understand the concept of a function and use function notation.

• Interpret functions that arise in applications in terms of the context.

• Analyze functions using different representations.

• Building Functions

• Build new functions from existing functions.

• Trigonometric Functions

• Extend the domain of trigonometric functions using the unit circle.

• Model periodic phenomena with trigonometric functions.

• Prove and apply trigonometric identities.

• Geometry

• Similarity, Right Triangles, and Trigonometry

• Apply trigonometry to general triangles

• Expressing Geometric Properties with Equations

• Translate between the geometric description and the equation for a conic section