Search Online Courses And Queries About Online Schooling

Home
-
High School Algebra II course Outline

High School Algebra II Course Outline

1.0 Credit

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.

By the end of the course you should be able to:

Onstrate an understanding of operations with numbers
Manipulate algebraic expressions involving real and complex numbers
Solve linear and nonlinear equations and inequalities
Solve systems of linear equations and inequalities.
Solve, translate and model linear equations
Solve, translate and model quadratic equations
Solve, translate and model exponential equations
Solve, translate and model rational equations
Solve, translate and model radical equations
Solve, translate and model higher-order polynomial equations and inequalities
Solve problems presented in context
Represent, characterize and solve problems that involve quadratic functions
Represent, characterize and solve problems that involve higher-order polynomial
Represent, characterize and solve problems that involve simple rational functions
Represent, characterize and solve problems involving exponential functions and logarithmic functions.
Demonstrate an understanding of combinations and inverses of functions.

Algebra II

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- Multiplying and Dividing Rational Expressions

Multiply/Divide Rational Expressions
Example 1
Example 2
Dividing Rational Expressions
Example 4
Handout: Multiplying & Dividing Rational Expressions Worksheet
Assignment: Multiplying & Dividing Rational Expressions

10- Adding and Subtracting Rational Expressions

Adding or Subtracting Rational Expressions
Example 1
Example 2
Least Common Denominator
Example 3
Example 4
Handout: Adding & Subtracting Rational Expressions Worksheet
Assignment: Adding & Subtractracting Rational Expressio

11- Complex Rational Expressions

Complex Fraction
Example 1
Example 2
Method II
Example 4
Handout: Complex Rational Expressions Worksheet
Assignment: Complex Rational Expressions

12- Complex Numbers

Complex Number
Handout: Complex Adding and Subtracting
Assignment: Complex Adding and Subtracting
Multiplying Complex Numbers
Example 3
Dividing Complex Numbers
Example 5
Example 6
Handout: Complex Multiply and Divide
Assignment: Complex Multiply and Divide
Principle Square Root
Example 9
Example 10 – 11

13- Test Chapter 2-12

Test on Chapters 2-12
Handout: Test #1
Assignment: Test #1

14- Linear Equation in One Variable

Equations
Properties of Equality
Multiplication and Division
Solving a Linear Equation
Examples 5-6
Identity
Conditional Equation
Handout: Solving Linear Equations
Assignment: Solving Linear Equations

15- Equations with Rational Expressions

Solving Rational Equations
Example 1
Examples 2-3 Removing the fractions
Handout: Rational Equations
Assignment: Rational Equations

16- Formulas and Applications

Translating English Phrases to Algebraic Expressions
Formulas & Applications Examples 1-2
Formulas and Applications Examples 3-4
Worksheet: Translating Verbal & Algebraic Expressions
Four Steps to Problem Solving
Numeric Word Problems
Understanding the problem
Consecutive Integers
Integers Example 8-9
Rectangle Problem
Percent Problems
Solving Formulas for Specific Variables
Handout: Word Problems
Assignment: Word Problems
Worksheet: Solving Formulas for Variables

17- Quadratic Equations

Quadrartic Characteristics
Quadratic Equation
Solving Quadric Equations by Factoring
Quadratic example 1-2
Quadratic Formula Example 3
Square Root Method
Square Root Method example 5 & 6
Quadratic Equations by Completing the Square
Example 7 Quadric Equation
Quadratic Equation Example 8
Solving by Quadratic Formula
Example 10 Solving Quadratic Equations by Quadratic Formula
Discriminant
Finding the Discriminant
Find the Discriminant (cont)
Handout: Solving Quadratics
Assignment: Solving Quadratics

18- Solving Polynomial Equations by Factoring

Factoring Polynomial Equations
Polynomial Equations solved by Factoring Examples
Polynomial Equations solved by Factoring Examples(cont)
Handout: Solve Polynomial Equations by Factoring
Assignment: Solve Polynomial Equations by Factoring

19- Radical Equations Involving Rational Exponents

Solving Radical Equations
Radical Equation Examples
Radical Equations (examples) cont
Equations that have Rational an Exponent
Equations with Rational Exponents (cont)
Handout: Radical Equations
Handout: Equations with Rational Exponents
Assignment: Radical Equations
Assignment: Equations with Rational Exponents

20- Equations that are Quadratic in Form

Solving Equations in Quadratic Form
Quadratic Equation Example
Quadratic Equation Examples(cont)
Quadratic Equations Example 3
Handout: Equations that are Quadratic in Form
Assignment: Equations that are Quadratic in Form

21- Absolute Value Equations

Absolute Value
Solving an Absolute Value Equation
Absolute Value Equations (cont)
Absolute Value Equation Example
Handout: Solving Absolute Value Equations
Assignment: Solving Absolute Value Equations

22- Linear Inequalities

Inequality Signs
Interval Notation
Open/Closed Interval
Combining Open/Closed Intervals
Add/Sub Property for Inequalities
Multiplication/Division Properties for Inequalities
Strategy for Solving a Linear Inequality
Strategy for Solving a Linear Inequality(cont)
Solving a Compound Inequality
Solving an Absolute Value Inequality
Solving in Interval Notation
Solve in Interval Notation (cont)
Handout: Linear Inequalities
Assignment: Linear Inequalities

23- Quadratic/Rational Inequalities

Quadratic Inequalities
Quadratic inequalities in Standard form(example)
Quadratic Inequalities(example 2)
Test Point Method
Test Point Method Example
Test Point method example(cont)
Handout: Quadratic Inequalities
Assignment: Quadratic Inequalities

24- Mid-Term

Test on Chapters 14-23
Handout: Test #2
Assignment: Test #2
Midtest
Assignment: Midtest

25- Slope of a Line

Slope Formula
Slope of a Line
Worksheet: Slope

26- Equations of Lines

X and Y Intercepts
Point/Slope Form of an Equation
Slope/Intercept Equation of a Line
Slope/Intercept examples
Handout: Equations of Lines
Assignment: Equations of Lines

27- Graphing Lines

Slope
Slope/Intercept Equation of a Line
Graphing A Line Using the y-intercept and Slope
Slope and Y-intercept examples
Slope intercept examples
Vertical/Horizontal Lines
Handout: Graphing Lines
Assignment: Graphing Lines

28- Parallel and Perpendicular Lines

Parallel Lines and Their Slopes
Perpendicular Lines/Their Slopes
Point/Slope Form of an Equation
Handout: Parallel and Perpendicular
Assignment: Parallel and Perpendicular

29- Circles

Equation of a Circle
Equation of Circles (examples)
General Form of an Equation of a Circle
General Form of Equation(examples)
General Form of Equations Examples(Cont)
Handout: Circles
Assignment: Circles

30- Introduction to Functions

Functions
Functions (examples)
Function Notation
Constant Function
Compound Function
Find the Domain
Handout: Intro to Functions
Assignment: Intro to Functions

31- Operations with Functions

Operations with Functions
Composite Function
Composite Functions (cont)
Handout: Composition of Functions
Assignment: Composition of Functions

32- Graphs of Functions, Part I

Transformations & Variation
Graphs of Functions
Graphs of Functions (examples)
Graphing Examples
Graphing Examples(cont)
Handout: Graphs of Functions, Part 1
Assignment: Graphs of Functions, Part 1

33- Graphs of Functions, Part II

Graphing Functions Part 2
Graphs of Functions (examples)
Vertical Line Test
Increasing
Decreasing
Constant
Restricted Intervals
Even Function
Odd Function
Greatest Integer Function
Graphing Polynomials
Handout: Graph Behavior
Assignment: Graph Behavior

34- Test Chapters 25-33

Test on Chapters 25 – 33
Handout: Test #3
Assignment: Test #3

35- Polynomial Division

Descartes Rule of Signs and Rational Roots
Dividing Polynomials
Remainder Theorem
Handout: Long and Synthetic Division
Handout: Division and Roots
Assignment: Long and Synthetic Division
Assignment: Division and Roots

36- Exponential and Logarithmic Function

Exponential & Log Characteristics
Solving Basic Exponential
Solving with Logs
Handout: Exponential & Logs
Assignment: Exponential & Logs

37- Solving Systems of Equations

Solve Systems of Equations: Graphically
Handout: Solve Systems of Equations Graphically
Assignment: Solve Systems of Equations Graphically
Solve Systems of Equations: Algebraically
Handout: Solve Systems of Equations Algebraically
Assignment: The Break-Even Point
Assignment: Solve Systems of Equations Algebraically
Solve Systems of Inequalities: Graphically
Handout: Solve Systems of Inequalities Graphically
Assignment: Solve Systems of Inequalities Graphically
Solve Systems of Equations in Three Variables
Assignment: Solve Systems of Equations in Three Variables

38- Sequences and Series

Sequences
Arithmetic Sequence
Arithmetic Series
Sigma Notation
Geometric Sequence
Geometric Series
Handout: Sequence & Series
Assignment: Sequence & Series

39- Final Exam

Test on Chapters 35-38
Handout: Test #4
Assignment: Test #4
Post-test
Assignment: Post-test

40- Course Evaluation

Handout: Course Evalulation

Forest Trail Academy Accreditation and Memberships

What Students Say

Demi Arthur
“Forest Trail Academy is the BEST school ever, the staff is amazing!! I recently graduated from Forest Trail Academy after going there for 2 years. I went to public school…”
Sarah Kosar
“FTA was a great alternative option for me so far as high school went. I transferred out during my junior year after having a rough time in public high school…”

Audrey Barnett
“Forest Trail Academy has been a blessing to me. I compete in the sport of rodeo across many states, and it takes time and dedication to train and condition both …”
Joshua Lawrence
“FTA gave me HOPE. I don’t have the pressures of exams and trying to keep up with the rest of the class. I get to go over the work as…”

Brittany Wooten
“Hello my name is Brittany Wooten. I graduated from forest trail academy in 2009. I decided to choose fta because I wanted to accelerate my high school education. Fta was …”
Yasmen Wass
“FTA has been a blessing to me!! I didn’t fit in at my old school, i had trouble learning in such a disruptive classroom which meant my grades falling, coming…”

Allison H.
“Thank you Forest Trail Academy for helping my student excel! Placing my high school freshman in your program was the best choice! He works through the program at his pace…”
Katie Bowcutt
“Katie Bowcutt wins title ex-aequo, PKRA Jr World Champion, 2013Freestyle Kiteboarding.Thanks for your support, Forest Trail Academy…”