Our Syllabus
Our site, www.aplusalgebra.com, was designed to follow a typical, comprehensive, yearlong algebra 1 class. When followed in order, the lessons are exactly like attending a classroom every day to learn skills that address your statespecific algebra standards We have modeled our classroom after the trimester system so there are three main sections to our curriculum.
Section 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 prealgebra 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 OneStep and MultiStep Equations
 Solving OneStep and MultiStep Inequalities
Section 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 twodimensional 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 (slopeintercept 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
Section 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
