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Pre-Algebra Course

PROGRESSIVE MATHEMATICS INITIATIVE® (PMI®)

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
    Numbers, Numerals, and Addition
    Integers
    Positives, Negative, and Absolute Value
    Comparing Integers
    Adding & Subtracting Integers
    Properties of Multiplication
    Exponents, Squares, and Cubes
  • Numbers & Operations - Part 2: Factors & Multiples
    Even & Odd Numbers
    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
  • 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 Literal Equations
  • 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
    Rates
    Using Ratios to Compare Measurements
    Converting Unit Ratios
    Proportions
    Problem Solving
    Similar Figures
    Scale Drawings
  • Percents
    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
  • Real Numbers
    Converting Repeating Decimals to Fractions
    Square Roots
    Cube Roots
    Square & Cube Roots
    Rational, Irrational & Real Numbers
    Approximating Irrational Square Roots
  • Statistics & Probability
    Intro to Probability
    Experimental & Theoretical
    Sampling
    Word Problems
    Probability of Compound Events
    Measures of Center
    Measures of Variability
    Mean Absolute Deviation
  • Pre-Algebra Final Exam

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