Number and Quantity
The Complex Number System
 Perform arithmetic operations with complex numbers.
 Use complex numbers in polynomial identities and equations.
Vector and Matrix Quantities
 Represent and model with vector quantities.
 Perform operations on matrices and use matrices in applications.

Algebra
Seeing Structure in Expressions
 Interpret the structure of expressions.
 Write expressions in equivalent forms to solve problems.
Arithmetic with Polynomials and Rational Expressions
 Perform arithmetic operations on polynomials.
 Understand the relationship between zeros and factors of polynomials.
 Use polynomial identities to solve problems.
 Rewrite rational expressions.
Creating Equations
 Create equations that describe numbers or relationships.
Reasoning with Equations and Inequalities
 Understand solving equations as a process of reasoning and explain the reasoning.
 Represent and solve equations and inequalities graphically.

Functions
Interpreting Functions
 Interpret functions that arise in applications in terms of the context.
 Analyze functions using different representations.
Building Functions
 Build a function that models a relationship between two quantities.
 Build new functions from existing functions
Linear, Quadratic, and Exponential Models
 Construct and compare linear, quadratic, and exponential models and solve problems.
Trigonometric Functions
 Extend the domain of trigonometric functions using the unit circle.
 Model periodic phenomena with trigonometric functions.
 Prove and apply trigonometric identities.

Statistics and Probability
Interpreting Categorical and Quantitative Data
 Summarize, represent and interpret data on a single count or measurement variable.
Making Inferences and Justifying Conclusions
 Understand and evaluate random processes underlying statistical experiments.
 Make inferences and justify conclusions from sample surveys, experiments and observational studies.
Using Probability to Make Decisions
 Use probability to evaluate outcomes of decisions.

Standards For Mathematical Practice
 Make sense of problems and persevere in solving them.
 Reason abstractly and quantitatively.
 Construct viable arguments and critique the reasoning of others.
 Model with mathematics.
 Use appropriate tools strategically.
 Attend to precision.
 Look for and make use of structure.
 Look for and express regularity in repeated reasoning.

