Study Scope and Sequence
Module 1: Radical and Polynomial Operations
· Rational Exponents
· Properties of Rational Exponents
· Solving Radical Equations
· Complex Numbers
· Operations on Complex Numbers
· Polynomial Operations
Module 2: Factoring and Quadratics
· Greatest Common Factors and Special Products
· Factoring by Grouping
· Sum and Difference of Cubes
· Graphing Quadratics
· Completing the Square
· Solving Quadratic Equations
· Solving Quadratic Equations with Complex Solutions
· Investigating Quadratics
Module 3: Solving Polynomials
· Polynomial Long Division
· Theorems of Algebra
· Polynomial Transformations
· Solving and Graphing Polynomials
· Polynomial Identities and Proofs
Module 4: Rational Equations
· Simplifying Rational Expressions
· Discontinuities of Rational Expressions
· Asymptotes of Rational Functions
· Solving Rational Equations
Module 5: Exponential and Logarithmic Functions
· Exponential Functions
· Logarithmic Functions
· Graphing Exponential Functions
· Graphing Logarithmic Functions
Module 6: System of Equations
· Solving Systems of Equations Algebraically
· Solving Systems of Equations Graphically
· Solving Systems of Non-Linear Equations
· Graphing Systems of Non-Linear Equations
Module 7: Sequences and Series
· Arithmetic Sequences and Series
· Geometric Sequences
· Geometric Series
· Sigma Notation
· Graphing Sequences and Series
Module 8: Statistic
· Events and Outcomes in a Sample Space
· Independent Probabilities
· Conditional Probability
· Normal Distribution
· Models of Populations
· Using Surveys
· Using Experiments
Module 9: Trigonometry
· Introduction to the Unit Circle
· Unit Circle and the Coordinate Plane
· Trigonometric Functions with Periodic Phenomena
· Pythagoras, Trigonometry, and Quadrants
· Functions of All Types