Algebra II

This course begins with a review of Algebra I topics and introduces the following new topics: matrices, complex numbers, exponential and logarithmic functions, conic sections, higher degree polynomial functions, sequences and series, and trigonometry. This course is required for students who are planning to attend most post-secondary institutions.


Algebra II is a continuation of the algebraic processes begun in Algebra I. This course includes solving equations, inequalities, matrices, graphing, functions, powers, roots, logarithms, complex numbers, polynomials, quadratic relations, sequences, series, probability and statistics. Appropriate technology is integrated into the curriculum.


Students will work with both scientific and graphing calculators throughout this Algebra 2 course. It is strongly recommended that you have at least a scientific calculator to use when completing your work. If you don’t have access to a scientific and/or graphing calculator, many are available for free online.


The Algebra II course will cover a range of algebraic topics. The over-arching topics include Operations on Numbers and Expressions, Equations and Inequalities, Polynomial and Rational Functions, Exponential Functions and Function Operations and Inverses.

1- Introduction


Introduction

Completing Math Assessments

Algebra II On The Web

Understanding Plagiarism

Pretest

Assignment: Pretest

MLA Formatting Word 2007

MLA Documentation updates

MLA Citation

MLA Incorporating Sources

2- Integer Exponents


Definition of Exponents

Zero and One

Negative Exponents

Grouping

Multiplying Like Bases

Dividing Like Bases

Exponents Raised to a Power

Simplifying Expressions

Simplifying Expressions, Continued

Handout: Integer Exponents Worksheet

Assignment: Integer Exponents

3- Scientific Notation


Scientific Notation

Scientific Notation, Continued

Quiz: Writing Scientific Notation

Multiplying with Scientific Notation

Dividing with Scientific Notation

Handout: Operations with Scientific Notation Worksheet

Assignment: Operations with Scientific Notation

4- Radicals


Definition of Square Root

Definition of Nth Root

Simplifying Radical Expressions

Handout: Simplifying Radical Expressions Worksheet

Assignment: Simplifying Radical Expressions

Adding & Subtracting Radical Expressions

Multiplying Radical Expressions

Dividing Radical Expressions

Handout: Operations With Radical Expressions Worksheet

Assignment: Operations With Radicals Expressions

5- Rational Exponents


Rational Exponents

Simplifying Rational Exponents

Operations with Rational Exponents

Handout: Rational Exponents Worksheet

Assignment: Rational Exponents

6- Polynomials


Defining Terms

Standard Form

Types of Polynomials

Combining Like Terms

Multiplying Polynomials

Monomial

Binomial Squared

Product of Sum and Difference

Polynomial

Binomial Cubed

Handout: Basic Polynomial Operations Worksheet

Assignment: Basic Polynomial Operations

7- Factoring Polynomials


Factoring Polynomials

Identify the GCF

Factoring a Polynomial

Example

Factoring Trinomials

Example 5

Example 6

Factoring Trinomials of the Form

Example 7

Example 8

Prime Polynomials

Factoring a Perfect Square

Factoring a Difference of Two Squares

Factoring Sum of Two Cubes

Factoring Difference of Two Cubes

Factoring Strategy

Example 16-17

Example 18-19

Example 20

Handout: Factoring Polynomials Worksheet

Assignment: Factoring Polynomials

8- Simplifying Rational Expressions


Rational Expressions

Principle Rational Expressions

Excluded Value

Example 3

Handout: Simplifying Rational Expressions Worksheet

Assignment: Simplifying Rational Expressions

9- Exponential Functions


Properties of Exponents Exploration

Handout: Properties of Exponents Exploration

Assignment: Properties of Exponents Exploration

Properties of Exponents

Handout: Exponenital Function Assignment #1

Handout: Exponential Functions Quiz

Handout: Exponential Functions Exploration

Assignment: Exponential Functions Assignment #1

Assignment: Exponential Function Quiz

Assignment: Exponential Function Exploration

Graphs of Exponential Functions

Applications of Exponential Growth and Decay

Handout: Exponenital Functions Assignment #2

Handout: Exponential Functions Unit Test

Assignment: Exponential Functions Assignment #2

Assignment: Exponential Functions Unit Test

10- Polynomials


Introduction to Polynomials

Polynomial Addition

Polynomial Multiplication

Handout: Polynomial Addition & Multiplication Worksheet

Assignment: Polynomial Addition & Multiplication

Factors of Polynomials

Handout: Polynomial Multiplication & Factors Worksheet

Handout: Polynomial Quiz

Assignment: Polynomial Multiplication & Factors

Assignment: Polynomial Quiz

Factoring Polynomials

Handout: Factoring Worksheet

Assignment: Factoring

Quadratic Equations

Handout: Quadratic Equations Worksheet

Handout: Quadratic Functions Exploration

Assignment: Quadratic Equations

Assignment: Exploring Quadratic Functions

Handout: Polynomials Unit Test

Assignment: Polynomials Unit Test

11- Radical Functions


Properties of Radical Expressions

Handout: Properties of Radicals Exploration

Assignment: Properties of Radicals Exploration

Graphing Radical Functions Exploration

Handout: Graphing Radical Functions Exploration

Assignment: Graphing Radical Functions Exploration

Radical Expressions and Functions

Adding and Subtracting Radicals

Handout: Radical Functions Assignment #1

Handout: Radical Functions Quiz

Assignment: Radical Functions Assignment #1

Assignment: Radica Functions Quiz

Solving Radical Equations

Pythagorean Theorem and Distance Formula

Handout: Radical Functions Assignment #2

Handout: Radical Functions Unit Test

Assignment: Radical Functions Assignment #2

Assignment: Radical Functions Unit Test

12- Rational Functions


Graphing Rational Functions Exploration

Handout: Graphing Rational Functions Exploration

Assignment: Graphing Rational Functions Exploration

Dividing Polynomials

Simplifying Rational Expressions

Multiply and Divide Rational Expressions

Handout: Rational Functions Assignment #1

Handout: Rational Functions Quiz

Assignment: Rational Functions Assignment #1

Assignment: Rational Functions Quiz

Add and Subtract Rational Expressions

Solve Rational Equations

Handout: Rational Functions Assignment #2

Handout: Rational Functions Unit Test

Assignment: Rational Functions Assignment #2

Assignment: Rational Functions Unit Test

13- Final Exam


Post-Test

Assignment: Post-Test

Final Exam

Handout: Review for Final Exam

Handout: Final Exam

Handout: Final Essay

Assignment: Review for Final Exam

Assignment: Final Exam

Assignment: Final Essay

14- Course Survey


Handout: Course Survey

Assignment: Course Survey

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