Our Syllabus

Our site, www.aplusalgebra.com, was designed to follow a typical, comprehensive, year-long algebra 1 class. When followed in order, the lessons are exactly like attending a classroom every day to learn skills that address your state-specific algebra standards We have modeled our classroom after the trimester system so there are three main sections to our curriculum.

Algebra toolsSection One: Tools

We chose to name our first section “Tools?because it focuses on skills essential for the successful completion of an algebra 1 class. Although some algebra 1 standards are addressed, the focus of this section is many of the pre-algebra standards that must be mastered to fully understand the concepts in algebra 1. (There are overlapping grade level standards.) We encourage students to frequent this section often throughout the year to keep their “algebra tools?nice and sharp.

Skills addressed in Section One: Tools is comprised of four chapters which cover approximately 40 different skills on the following topics:

  • Order of Operations
  • Substitution
  • Identifying Expressions, Equations and Inequalities
  • The Number System
  • Graphing points on the Cartesian Coordinate Plane
  • Elementary Functions
  • Algebra Vocabulary and Terminology
  • Commutative and Associative Properties
  • Exponents
  • Combing Like Terms
  • Absolute Value
  • Identify Property of Zero
  • Integers (All Operations)
  • Solving One-Step and Multi-Step Equations
  • Solving One-Step and Multi-Step Inequalities

Algebra linesSection Two: Lines

We chose to name our second section “Lines?because it focuses on lines, lines and more lines. The learners apply equations on a piece of paper to a two-dimensional graph that shows them how equations and inequalities will change with variations in slope intercept and, thus, change their  domain and range. (It’s easier than it sounds! In fact, it’s really simple!)

Skills addressed in Section Two: Lines is comprised of four chapters which cover approximately 40 different skills on the following topics:

  • Slopes
  • Intercepts
  • Graphing, Identifying Points using correct notation
  • Linear Relationships
  • Graphing Linear Equations
  • Identifying Functions vs. Relations
  • Using (slope-intercept form/function form)
  • Using Standard Form
  • Finding x and y Intercepts
  • Solving Compound Inequalities
  • Absolute Value Equations and Inequalities
  • Graphing Linear Inequalities
  • Solving for Systems of Equations Algebraically
  • Solving for Systems of Inequalities Algebraically
  • Graphing Systems of Equations and Inequalities
  • Problem Solving Using Linear Equations

Algebra curvesSection Three: Curves

We chose to name our final section “Curves?because it focuses on curved lines. The learners apply what they have learned about straight lines to curved lines. Basically, the same equations are “tweeked?with an exponent and straight lines are transformed to curved lines when they are graphed. The learners will get plenty of drawing practice graphing the most famous shape in algebra: the Parabola. (These things are everywhere! Watch now you won’t stop seeing them. I bet you never noticed. See more parabolas in our world.)

Skills addressed in Section Three: Curves is comprised of four chapters which cover approximately 40 different skills on the following topics:

  • Exponent Review
  • The Laws of Exponents
  • Evaluating and Solving Radical / Root Expressions and Equations
  • Simplifying Radicals / Roots
  • Graphing Quadratic Equations
  • Using the Quadratic Formula
  • Using the Discriminant
  • Polynomial Nomenclature and Terminology
  • Adding, Subtracting, Multiplying and Dividing Polynomials
  • Identifying the Maximum and Minimum for Graphed Quadratic Functions
  • Sketching Quadratic Equations and Inequalities
  • Identifying the Roots of a Quadratic Equation
  • Factoring Trinomials
  • Solving for the Roots of a Quadratic Equations Algebraically
  • Completing the Square
  • Operating with Rational Expressions
  • Solving Equations with Rational Expressions
  • Problem Solving Using Polynomial Equations

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