Number and Quantity
The Complex Number Systems
 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.
 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.

Geometry
Similarity, Right Triangles, and Trigonometry
 Apply trigonometry to general triangles.
Geometric Measurement and Dimension
 Visualize relationships between twodimensional and threedimensional objects.
Modeling with Geometry
 Apply geometric concepts in modeling situations.

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.

