Essential
Math Outline
Algebra 1 Module
Lesson 1: Performing Operations
Topic 1:
Exponents
Topic 2:
Square Roots
Topic 3:
Opposites and Reciprocals
Topic 4:
Lesson Review
Test
Taking Strategies
Lesson 2: Solving Equations
Analytically
Topic 1:
Solving Equations by Addition or Subtraction
Topic 2:
Solving Equations by Multiplication or Division
Topic 3:
Solving Equations by Combining Methods
Topic 4:
Lesson Review
Lesson 3: Equations and
Problem-Solving
Topic 1:
Equations with Variables on Both Sides
Topic 2:
Equations with Parentheses
Topic 3:
Equations with Fractions
Topic 4:
Equations with Decimals
Topic 5:
Combined Techniques
Topic 6:
Lesson Review
Lesson 4: Inequalities
Topic 1:
Inequalities
Topic 2:
Addition and Subtraction Properties of Inequality
Topic 3:
Multiplication and Division Properties of Inequality
Topic 4:
Lesson Review
Lesson 5: Absolute Value
Topic 1:
Equations with Absolute Value
Topic 2:
Inequalities with Absolute Value
Topic 3:
Lesson Review
Lesson 6: Graphing of Linear Equations
Topic 1:
Equations with Two Variables
Topic 2:
Slope-Intercept Form
Topic 3:
Point-Slope Form
Topic 4:
Parallel Lines
Topic 5:
Applications of Linear Equations
Topic 6:
Lesson Review
Lesson 7: Solutions by Graphing
Topic 1:
Graphing Systems of Equations
Topic 2:
Graphing Linear Inequalities
Topic 3:
System of Inequalities
Topic 4:
Lesson Review
Lesson 8: Solving Systems of
Equations
Topic 1:
The Substitution Method
Topic 2:
Problem Solving Using Two Variables
Topic 3:
The Addition Method
Topic 4:
The Multiplication and Addition Method
Topic 5:
Lesson Review
Lesson 9: Monomials
Topic 1:
Multiplying Monomials
Topic 2:
Powers of Monomials
Topic 3:
Dividing Monomials
Topic 4:
Lesson Review
Lesson 10: Combining Polynomials
Topic 1:
Adding and Subtracting Polynomials
Topic 2:
Multiplying a Polynomial by a Monomial
Topic 3:
Multiplying Binomials
Topic 4:
Lesson Review
Lesson 11: Application of Algebraic
Techniques
Topic 1:
Rate Problems
Topic 2:
Work Problems
Topic 3:
Percent Mixture Problems
Topic 4:
Lesson Review
Lesson 12: Mathematical Reasoning
Topic 1:
Mathematical Reasoning Application