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.

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
MultiStep 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

Numbers & Operations  Part 5: Exponents & Real Numbers
Exponents
Squares and Square Roots
Squares of Numbers Greater than 20
Simplify Perfect Sq Radicals
Approximating Square Roots
Rational, Irrational and Real #s
Properties of Exponents

Scientific Notation
Purpose of Scientific Notation
Writing #s in Scientific Notation
Converting between Scientific Notation and Standard Form
Magnitude
Comparing #s in Scientific Notation
Multiply & Divide w/ Scientific Notation
Add & Subtract w/ 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
OneStep Equations
TwoStep Equations
MultiStep Equations
MultiStep 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

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
Reallife Application Problems

Equations with Roots & Radicals
Radical Expressions Containing Variables
Simplifying NonPerfect Square Radicands
Simplifying Roots of Variables
Solving Equations with Perfect Square & Cube Roots

Statistics & Probability
Intro to Probability
Experimental & Theoretical
Sampling
Word Problems
Probability of Compound Events
Measures of Center
Measures of Variability
Mean Absolute Deviation

PreAlgebra Final Exam
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