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Algebra II

Subject: Mathematics

Course Description:

Prepare yourself to explore the exciting world of Algebra Two! This course will allow you to learn while having fun. Interactive examples help guide your journey through customized feedback and praise. Concepts are applied to everyday occurrences such as earthquakes, stadium seating, and purchasing movie tickets. Opportunities are provided for you to work with your peers on specific lessons. Through the use of technology, you will investigate the effects of an equation on its graph.

Starting with a review of basic algebra, travel through systems of equations, factoring, radical and quadratic equations in the first segment. In the second segment, you will venture into the realms of polynomial functions, rational equations, exponential and logarithmic relations, landing at sequences and series. Honors students fly one step further by learning about conic sections and will even build a solar cooker! Very impressive! Your instructor will be your guide along this journey and will provide you with timely advice.

Algebra II is an advanced course using hands-on activities, applications, group interactions, and the latest technology. Upon completion, you will have the algebra needed for college admission, and be on a fast track to career success!

Major Topics:

Segment 1:

  • Order of Operations
  • Solving One-Step Equations
  • Solving Two-Step Equations
  • Solving Literal Equations
  • Variation (direct, inverse and joint)
  • Absolute Value Equations and Inequalities in One Variable
  • Graphing Linear Equations and Inequalities
  • Writing Linear Equations
  • Parallel and Perpendicular Lines
  • Absolute Value Equations and Inequalities in Two Variables
  • Finding a Line of Best Fit (Honors)
  • Solving Systems of Equations:
    • Graphing
    • Substitution
    • Elimination
    • 3-variable systems
  • Introduction to Matrices (Honors)
  • Writing and Solving Word Problems
  • Higher-Level Word Problems – mixture problems (Honors)
  • Solving Systems of Inequalities
  • Linear Programming
  • Polynomial Operations
  • Factoring GCF and Special Products (difference of squares, perfect squares, perfect cubes)
  • Factoring Trinomials
  • Factoring by Grouping
  • Factoring Sum and Differences of Cubes
  • Pascal’s Triangle (Honors)
  • Simplifying Radicals (with roots of 2 and higher)
  • Adding and Subtracting Radicals
  • Multiplying and Dividing Radicals
  • Rational Exponents
  • Properties of Rational Exponents
  • Complex Numbers (includes the imaginary number, i)
  • Operations on Complex Numbers
  • Solving Radical Equations
  • Graphing Quadratics (with and without technology)
  • Solving Quadratic Equations
    • Factoring
    • Quadratic Formula
    • Completing the Square
  • Solving Quadratics with Complex Solutions
  • Investigating Quadratics (the discriminant)
  • Approximating Quadratic Solutions (Honors)
  • Piece-wise Functions (Honors)
  • Non-Linear Systems of Equations (Honors – with and without technology)

Segment 2:

  • Functions
  • Graphing Polynomial Functions (with and without technology)
  • Polynomial Inequalities (Honors – with and without technology)
  • Division of Polynomials
    • Long Division
    • Synthetic Division
  • Theorems of Algebra
    • Fundamental Theorem of Algebra
    • Factor Theorem
    • Remainder Theorem
    • Rational Root Theorem
  • Descartes Rule of Signs
  • Solving Polynomial Equations
  • Real World Applications of Polynomials
  • Simplifying Rational Expressions
  • Multiplying and Dividing Rational Expressions
  • Adding and Subtracting Rational Expressions
  • Simplifying Complex Fractions
  • Discontinuities of Rational Functions (Honors)
  • Asymptotes of Rational Functions (Honors)
  • Solving Rational Equations
  • Real World Applications of Rational Equations
  • Graphs of Common Functions
    • Linear
    • Absolute Value
    • Quadratic
    • Cubic
    • Radical
    • Rational
  • Graphing Exponential Functions
  • Applications of Exponential Growth and Decay
  • Solving Exponential Equations with Equal Bases
  • Logarithmic Functions
  • Change of Base Formula
  • Graphing Logarithmic Functions
  • Properties of Logarithms
    • Product
    • Quotient
    • Power
    • Equality
  • Solving Exponential Equations using Logarithms
  • Arithmetic Sequences
  • Arithmetic Series
  • Summation Notation (Honors)
  • Geometric Sequences
  • Geometric Series
  • Infinite Convergent and Divergent Series (Honors)
  • Applications of Geometric Series
  • Parabolas (Honors)
  • Graphing Circles (Honors)
  • Discovering Circles (Honors)
  • Graphing Ellipses (Honors)
  • Discovering Ellipses (Honors)
  • Graphing Hyperbolas (Honors)
  • Discovering Hyperbolas (Honors)
  • Applications of Conics (Honors)

Participation Requirements:

Besides engaging students in challenging curriculum, INVS 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, discussion based assessments, and collaborative activities. 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.

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Course Details

  • Course Code: 1200330
  • Course Credits: 2.0

Prerequisits:
Algebra I

Estimated Completion:
2 segments / 32-36 weeks