Number and Quantity

The Complex Number System

 Perform arithmetic operations with complex numbers.
 Use complex numbers in polynomial identities and equations.

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.
 Solve equations and inequalities in one variable.
 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.

Geometry

Expressing Geometric Properties with Equations

 Translate between the geometric description and the equation for a conic section.

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.