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
Factorizing algebraic expressions
Completing the square
Rewrite an interest to reveal the approximate monthly interest rate
Understanding geometric series formulas
Polynomials
Understanding polynomial long division
Identifying and using zeros of polynomials
Understanding Pascal's triangle
Rewrite rational expressions.
Understanding rational expressions
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
Understanding exponential 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
Interpret expressions for functions
Complex Numbers
Understanding complex numbers
Perform arithmetic operations with complex numbers.
Find the conjugate of a complex number
The complex plane and polar form
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