ALGEBRA II & ALGEBRA II HONORS

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Course Name: Algebra II
Course Code: 1200330
Honors Course Code: 1200340
AP Course Code:

Description:

In this course, you’ll know for certain where you are going. As an employee of the Functional Consulting Company, you’ll travel up the corporate ladder as you succeed with each assignment. You’ll go from Junior Associate to Senior Staff Member as you prove what you can do.

Starting with a review of basic algebra, you roll through polynomials, quadratic equations, exponential and logarithmic relations, and arrive at probability and statistics. Very impressive! Along the way, you’ll be guided by your supervisor who is very much in your corner and ready to help with timely advice.

Algebra II is an advanced course using hands-on activities, applications, group interactions, and the latest technology. You’ll have the algebra you need for college admission, and be on a fast track to career success.

Prerequisites: Algebra I

Estimated Completion Time: 2 segments / 32-36 weeks

Major Topics and Concepts:

Segment 1:

* Real Number System
* Algebraic Properties
* Order of Operations
* Writing and Solving Word Problems
* Linear Equations (Writing and Graphing, Parallel and Perpendicular)
* Literal Equations
* Solving and Graphing Inequalities (including Compound inequalities)
* Variation (direct, inverse and joint)
* Functions
* Polynomial Operations
* Multiplying Polynomials
* Special Products (difference of squares, perfect squares, perfect cubes)
* Division of Polynomials (long division and synthetic division)
* Factoring GCF and Special Formulas
* Factoring Sum and Differences of Cubes
* Factoring Trinomials (Leading coefficient of one)
* Factoring Trinomials (Leading coefficient other than one)
* Factoring by Grouping
* Solving Quadratic Equations
* Real World Applications of Polynomials
* Simplify and understand perfect roots
* Simplify and understand irrational roots involving real numbers.
* Simplify and understand irrational roots involving variables and real numbers.
* Adding and Subtracting Radicals
* Multiplying and Dividing Radicals
* Solving Quadratics
* Solving quadratics of the form ax2 + c = 0 (missing the bx term)
* Solving by Factoring
* Solving by the Quadratic Formula
* Solving Quadratics with Complex Solutions
* Solving Radical Equations
* Graphing Quadratic Equations in standard form and general form
* Graphing by completing the square
* Imaginary Numbers: finding the value of i raised to any power
* Operations on Imaginary Numbers
* Complex Numbers
* Operations on Complex Numbers
* Solving Systems of Equations by:
- Graphing
- Substitution
- Elimination
- 3-variable systems
* Graphing Linear Inequalities and Systems of Inequalities
* Matrix Operations:
- Addition
- Subtraction
- Multiplication
- Inverse and Identity
- Determinants
- Cramer’s Rule

Segment 2:

* Discovering Circles
* Graphing Circles
* Discovering Ellipses
* Applications of Conics
* Discovering Parabolas
* Discovering Hyperbolas
* Simplifying Rational Expressions
  Multiplying and Dividing Rational Expressions
* Adding and Subtracting Rational Expressions
* Simplifying Complex Fractions
* Vertical Asymptotes
* Horizontal Asymptotes
* Solving Rational Equations
* Polynomial Functions
* The Remainder Theorem
* The Factor Theorem
* The Fundamental Theorem of Algebra
* Finding Zeros
* Rational Zeros Theorem
* Even and Odd Functions
* Horizontal and Vertical Shifts
* Intermediate Value Theorem and Boundedness
* Simplifying and Solving exponential equations
* Interpreting graphs of exponential equations
* Use of exponential growth and decay
* Definition of changing Exponents to Logarithms
* Common and Natural Logarithms
* Properties of Logarithms
* Interpreting graphs of Logarithms
* Solving Exponential Equations using Logarithms
* Arithmetic Series
* Geometric Series
* Fundamental Counting Principle
* Permutations
* Combinations
* Probability
* Statistics

Course Assessment and Participation Requirements:

Besides engaging students in challenging curriculum, VLACS guides students to reflect on their learning and to evaluate their progress through a variety of assessments. Assessments can be in the form of self-checks, practice lessons, multiple choice questions, projects, oral assessments, and discussions. Instructors evaluate progress and provide interventions through the variety of assessments built into a course, as well as through contact with the student in other venues.