The Complex Number System
Perform arithmetic operations with complex numbers.
Use complex numbers in polynomial identities and equations.
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.
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.
Interpreting Functions Interpret functions that arise in applications in terms of the context.
Analyze functions using different representations.
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.
Extend the domain of trigonometric functions using the unit circle.
Model periodic phenomena with trigonometric functions.
Prove and apply trigonometric identities.
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.