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
 Analyze functions using different representations.
Building Functions
 Build a function that models a relationship between two quantities.
Trigonometric Functions
 Extend the domain of trigonometric functions using the unit circle.
 Model periodic phenomena with trigonometric functions.
 Prove and apply trigonometric identities.

Geometry
Similarity, Right Triangles, and Trigonometry
 Apply trigonometry to general triangles.
Circles
 Understand and apply theorems about circles.
Expressing Geometric Properties with Equations
 1Translate between the geometric description and the equation for a conic section.
Geometric Measurement and Dimension
 Explain volume formulas and use them to solve problems.
 Visualize relationships between twodimensional and threedimensional objects.

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.

