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 Quantative 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 obersvational studies
Using Probability to Make Decisons
 Use probability to evaluate outcomes of decisions


Mathematical Practices
 Make sense of problems and persevere in problem 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.



