Numbers

Use properties of rational and irrational numbers

Algebra

Interpret complicated expressions by viewing one or more of their parts as a single entity

Algebraic Expressions

Factorizing quadratic expressions
Completing the square
Rewrite an interest to reveal the approximate monthly interest rate
Understanding geometric series formulas


Equations

Represent constraints by equations or inequalities

Equations and Inequalities

Understand solving equations as a process of reasoning and explain the reasoning.

Analyzing functions

Graphing functions
Understanding polynomial functions
Understanding rational functions
Rewriting function expressions
Using factoring and completing the square to analyzing functions
Analyzing exponential functions
Analyze functions using different representations.

Trigonometric Functions

Understand radians
Understand the unit circle
Model periodic phenomena with trigonometric functions.
Prove and apply trigonometric identities.

Types of Functions

Write a function that describes a relationship
Changing the graph
Inverse functions
Verify that a function is a inverse of another
Evaluate exponential models

Complex Numbers

Perform arithmetic operations with complex numbers.
Find the conjugate of a complex number
Understanding the complex plane
Finding distances of complex numbers
Quadratic equations with complex solutions
Use complex numbers in polynomial identities and equations.
The fundamental theorem of algebra