Algebra 1
What: One academic year of live instruction and grading.
When: Mon/Tues/Thur, class meets 3x per week
Time: 11:00 am -12:00 pm (Eastern)
Prerequisites: Successful completion of Prealgebra math skills or by placement test. Students will be expected to know prior math such as fractions, decimals, and integers without review. Calculator is allowed in this class.
Includes: Includes 96 hours of live instruction through the school year. Also, includes curriculum, grading, and support through the year.
Scope and Sequence
Unit 1: Algebra Basics
The Real Number System
Order of Operations
Evaluating Expressions
Combining Like Terms
Distributive Property
Translating Sentences into Equations and Inequalities
Solving One and Two Step Equations
Graphing and Solving Inequalities
Unit 2: Multi-Step Equations
Solve Equations that Require Multiple Steps
Solve Equations with Variables on Both Sides
Solve Equations that have Zero or Infinite Solutions
Algebraic Proportions
Literal Equations
Word Problems
Solving Multi-Step Inequalities
Compound Inequalities
Unit 3: Relations and Functions
Domain and Range
Functions and the Vertical Line Test
Real World Graphs
Graphing Functions with Tables
Function Notation
Evaluating Functions
Zeros of Functions
Unit 4: Linear Equations
Slope
Slope-Intercept Form
Standard Form
Graphing Linear Equations
x- and y- intercepts
Vertical and Horizontal Lines
Point-Slope Form
Writing Equations of Lines
Unit 5: Parallel and Perpendicular Lines / Applications of Linear Equations
Intro to Parallel and Perpendicular Lines
Writing Equations of Parallel and Perpendicular lines
Writing Equations from Applications
Solving Word Problems using Linear Equations
Unit 6: Systems of Equations and Inequalities
Solve a System of Equations Using Graphing
Solve a System of Equations Using Substitution
Solve a System of Equations Using Elimination
Systems of Equations Word Problems
Linear Inequalities
Systems of Inequalities
Systems of Inequalities Word Problems
Unit 7: Exponents
Adding and Subtracting Monomials
Multiplying Monomials
Powers of Monomials
Dividing Monomials
Negative Exponents
Simplifying Radicals
Square Roots with Variables
Unit 8: Polynomials
Introduction to Polynomials
Multiplying a Monomial with a Polynomial
Multiplying Binomials and Trinomials
Dividing Polynomials by Monomials
Factoring GCF from a Polynomial
Factoring Difference of Squares
Factoring Trinomials
Factor by Grouping
Factoring a Polynomial by a Binomial
Unit 9: Quadratics
Graphing Quadratics
Quadratics in Vertex Form
Quadratic Roots
Solving Quadratics by Factoring
Solving Quadratics using Square Roots
Solving Quadratics using Quadratic Formula
Quadratic Applications
What: One academic year of live instruction and grading.
When: Mon/Tues/Thur, class meets 3x per week
Time: 11:00 am -12:00 pm (Eastern)
Prerequisites: Successful completion of Prealgebra math skills or by placement test. Students will be expected to know prior math such as fractions, decimals, and integers without review. Calculator is allowed in this class.
Includes: Includes 96 hours of live instruction through the school year. Also, includes curriculum, grading, and support through the year.
Scope and Sequence
Unit 1: Algebra Basics
The Real Number System
Order of Operations
Evaluating Expressions
Combining Like Terms
Distributive Property
Translating Sentences into Equations and Inequalities
Solving One and Two Step Equations
Graphing and Solving Inequalities
Unit 2: Multi-Step Equations
Solve Equations that Require Multiple Steps
Solve Equations with Variables on Both Sides
Solve Equations that have Zero or Infinite Solutions
Algebraic Proportions
Literal Equations
Word Problems
Solving Multi-Step Inequalities
Compound Inequalities
Unit 3: Relations and Functions
Domain and Range
Functions and the Vertical Line Test
Real World Graphs
Graphing Functions with Tables
Function Notation
Evaluating Functions
Zeros of Functions
Unit 4: Linear Equations
Slope
Slope-Intercept Form
Standard Form
Graphing Linear Equations
x- and y- intercepts
Vertical and Horizontal Lines
Point-Slope Form
Writing Equations of Lines
Unit 5: Parallel and Perpendicular Lines / Applications of Linear Equations
Intro to Parallel and Perpendicular Lines
Writing Equations of Parallel and Perpendicular lines
Writing Equations from Applications
Solving Word Problems using Linear Equations
Unit 6: Systems of Equations and Inequalities
Solve a System of Equations Using Graphing
Solve a System of Equations Using Substitution
Solve a System of Equations Using Elimination
Systems of Equations Word Problems
Linear Inequalities
Systems of Inequalities
Systems of Inequalities Word Problems
Unit 7: Exponents
Adding and Subtracting Monomials
Multiplying Monomials
Powers of Monomials
Dividing Monomials
Negative Exponents
Simplifying Radicals
Square Roots with Variables
Unit 8: Polynomials
Introduction to Polynomials
Multiplying a Monomial with a Polynomial
Multiplying Binomials and Trinomials
Dividing Polynomials by Monomials
Factoring GCF from a Polynomial
Factoring Difference of Squares
Factoring Trinomials
Factor by Grouping
Factoring a Polynomial by a Binomial
Unit 9: Quadratics
Graphing Quadratics
Quadratics in Vertex Form
Quadratic Roots
Solving Quadratics by Factoring
Solving Quadratics using Square Roots
Solving Quadratics using Quadratic Formula
Quadratic Applications