Number and Quantity
The Real Number System
 Extend the properties of exponents to rational exponents.
 Use properties of rational and irrational numbers.
The Complex Number Systems
 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.
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.
 Solve systems of equations.

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
 Prove and apply trigonometric identities.

Geometry
Congruence
 Prove geometric theorems.
Similarity, Right Triangles, and Trigonometry
 Understand similarity in terms of similarity transformations.
 Prove theorems involving similarity.
 Define trigonometric ratios and solve problems involving right triangles.
Circles
 Understand and apply theorems about circles.
 Find arc lengths and areas of sectors of circles.
Expressing Geometric Properties with Equations
 Translate between the geometric description and the equation for a conic section.
 Use coordinates to prove simple geometric theorems algebraically.
Geometric Measurement and Dimension
 Explain volume formulas and use them to solve problems.

Statistics and Probability
Conditional Probability and the Rules of Probability
 Understand independence and conditional probability and use them to interpret data.
 Use the rules of probability to compute probabilities of compound events in a uniform probability model.
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.

