 ## 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
Addition, Natural #s & Whole #s
Absolute Value
Comparing 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
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
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
Magnitude
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
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
• ###### Statistics & Probability
Intro to Probability
Experimental & Theoretical
Sampling
Word Problems
Probability of Compound Events
Measures of Center
Measures of Variability
Mean Absolute Deviation