Number and Quantity

The Real Number System

 Extend the properties of exponents to rational exponents.
 Use properties of rational and irrational numbers.

Quantities

 Reason quantitatively and use units to solve problems.

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.
 Represent and solve equations and inequalities graphically.

Functions

Interpreting Functions

 Understand the concept of a function and use function notation.
 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.

 Interpret expressions for functions in terms of the situation they model.

Statistics and Probability

Interpreting Categorical and Quantitative Data

 Summarize, represent, and interpret data on a single count or measurement variable.

 Summarize, represent, and interpret data on two categorical and quantitative variables.

 Interpret linear models.