## ALGEBRA II

Ever wondered how to calculate the amount of money you could make from an investment? How about deciphering the number of products you need to sell to hit a sales goal? If so, then Algebra II is your ticket to understanding the power and usability of algebraic formulas in business, education, and life. In this course, you’ll dive deep into the realm of algebra, learning mathematical reasoning, probability, polynomial functions, linear functions, and much, much more.

### RECOMMENDED PRE-REQUISITE: Geometry

###### SEMESTER 1

Unit 1: Sequences and Series

• Mathematical Patterns
• Arithmetic Sequences
• Geometric Sequences
• Arithmetic Series
• Geometric Series

Unit 2: Applying Geometric Concepts

• A New Look at Parabolas
• Circles in the Coordinate Plane
• Graphing by Completing the Square

Unit 3: Linear Equations, Inequalities, and Functions

• Transforming Functions
• Absolute Value Graphs
• Two-variable Inequalities
• Solving Systems of Equations Graphically
• Solving Systems of Equations Algebraically
• Systems of Inequalities
• Applications

Unit 4: Polynomials and Polynomial Functions

• Polynomial Functions
• Multiplying Polynomials
• Dividing Polynomials
• Polynomials, Linear Factors and Zeros
• Solving Polynomial Equations
• Rational Roots Theorem
• Fundamental Theorem of Algebra
• Graphing Polynomial Functions
• Transforming Polynomial Functions

Unit 5: Rational Expressions and Functions

• Simplifying Rational Expressions
• Multiplying Rational Expressions
• Dividing Rational Expressions
• Adding and Subtracting Rational Expressions Part 1
• Adding and Subtracting Rational Expressions Part 2
• Graphing Rational Functions Part 1
• Graphing Rational Functions Part 2
• The Reciprocal Function Family
###### SEMESTER 2

Unit 6: Roots and Radical Functions

• Multiplication and Division of Radical Functions
• Rational Exponents
• Solving Square Root
• Function Operations
• Inverse Relations and Functions

Unit 7: Exponential and Logarithmic Functions

• Exploring Exponential Models
• Properties of Exponential Functions
• Exponential Functions and Their Inverses
• Logarithms and Their Graphs
• Properties of Logarithms
• Change of Base
• Exponential and Logarithmic Equations

Unit 8: Trigonometric Functions

• Exploring Periodic Data
• Angles and the Unit Circle
• The Sine Function
• The Cosine Function
• Translating Sine and Cosine FunctionsThe Tangent Function
• Reciprocal Trigonometric Functions

Unit 9: Data Analysis

• Components of a Statistical Study
• Normal Distributions Part 1
• Normal Distributions Part 2
• Simulations with Spinners
• Simulations with Dice
• Margin of Error
• Inferences
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