#### Holiday Announcement

In observance of Cesar Chavez Day, UC Scout will be closed on Friday, March 31, 2023. We will resume normal business hours on Monday, April 3, 2023.

# 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, youâ€™ll dive deep into the realm of algebra, learning mathematical reasoning, probability, polynomial functions, linear functions, and much, much more.

**RECOMMENDED PREREQUISITE**: Geometry

Basic and On Demand are always open for registration.

Plus courses are created upon request.

## 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
- 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

## SEMESTER 2

**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 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