# Algebra 2

## Course Summary

Learn how to use algebra to solve real-world problems such as calculating the amount of money you could make from an investment or determining the number of products you need to sell to hit a sales goal. Appreciate the power and usability of algebraic formulas in business, education, and life. In this course, students develop an in-depth understanding of all facets of algebra including mathematical reasoning, probability, polynomial functions, exponential, logarithmic, radical and rational functions.

## Curriculum

This is a 2-semester course. We do not recommend taking both semesters simultaneously.

##### 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
- Adding and Subtracting Polynomials
- 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

##### Unit 6: Roots and Radical Functions

- Roots and Radical Expressions
- Multiplication and Division of Radical Functions
- Binomial Radical Expressions
- Rational Exponents
- Solving Square Root
- Function Operations
- Inverse Relations and Functions
- Graphing Radical 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
- Radian Measure
- The Sine Function
- The Cosine Function
- Translating Sine and Cosine Functions
- The 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