Pre-Algebra Course


Note: This course was originally designed as a course in a Teacher Education program. Therefore, it might take more than 36 weeks, or 180 days, to complete. Depending on the level of your students, some units may go faster or slower than others. Please adapt the content being taught, accordingly.

Units (select a unit)

  • Numbers & Operations - Part 1: Natural #s, Integers & Rational #s
    Addition, Natural #s & Whole #s
    Addition, Subtraction & Integers
    Absolute Value
    Comparing Integers
    Addition & Subtraction of Integers
    Multiplication, Division & Rational #s
    Comparing & Ordering Rational #s
  • Numbers & Operations - Part 2: Factors & Multiples
    Even & Odd Numbers
    Divisibility Rules for 3, 6, & 9
    Greatest Common Factor
    Least Common Multiple
    GCF & LCM Word Problems
  • Numbers & Operations - Part 3: Fraction Operations
    Equal Parts
    Equivalent Fractions
    Finding Common Denominators
    Adding & Subtracting Fractions
    Adding & Subtracting Mixed #s
    Multi-Step Word Problems
    Multiplying Fractions, Whole #s & Mixed #s
    Area of Fractional Side Length Rectangles
    Fraction Division
  • Numbers & Operations - Part 4: Decimal Operations
    Long Division Review
    Adding & Subtracting Decimals
    Addition & Subtraction of Rational #s
    Distributive Property w/ Decimals
    Multiplying & Dividing Decimals
    Multiply and Divide Rational #s
    Convert Rational #s to Decimals
    Convert Repeated Decimals to Fractions
  • Scientific Notation
    Intro to Exponents
    Properties of Exponents
    Purpose of Scientific Notation
    Writing #s in Scientific Notation
    Converting: Sci Notation & Standard Form
    Comparing #s in Scientific Notation
    Operations w/ #s in Scientific Notation
  • Expressions
    Mathematical Expressions
    Order of Operations
    The Distributive Property
    Like Terms
    Translating Words into Expressions
    Evaluating Expressions
  • Equations
    Equations and Identities
    Solving an Eq for a Variable
    One-Step Equations
    Two-Step Equations
    Multi-Step Equations
    Multi-Step Eq with Fractions
    Writing and Solving Algebraic Eq
    Eq with the Same Variable on Both Sides
    Solving Eq with Perfect Square and Cube Roots
    Solving Literal Equations
  • Real Numbers
    Converting Repeating Decimals to Fractions
    Square Roots
    Cube Roots
    Square & Cube Roots
    Rational, Irrational & Real Numbers
    Approximating Irrational Square Roots
  • Intro to Inequalities and Graphing
    Graphing and Writing Inequalities in One Variable
    Simple Inequalities Involving Addition and Subtraction
    Simple Inequalities Involving Multiplication and Division
    Cartesian Plane
    Graphing in the Coordinate Plane
    Scaling the Coordinate Plane
  • Ratios & Proportions
    Writing Ratios
    Equivalent Ratios
    Using Ratios to Compare Measurements
    Converting Unit Ratios
    Problem Solving
    Similar Figures
    Scale Drawings
  • Percents
    Percents & Fractions
    Percents & Decimals
    Relating Fractions, Decimals and Percents
    Three Types of Percent Problems
    Percent of Change
    Representing Percent Equations Algebraically
    Applied Percent of Decrease
    Applied Percent of Increase
    Real-life Application Problems
  • Statistics & Probability
    Intro to Probability
    Experimental & Theoretical
    Word Problems
    Probability of Compound Events
    Measures of Center
    Measures of Variability
    Mean Absolute Deviation
  • Pre-Algebra Final Exam


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