BOA Pre-algebra Course Completion Guideline

If you are completing your classes in 18 weeks, you need to complete ½ a module a week.

If you are completing your classes in 12 weeks, you need to complete about 1 module a week.

If you are completing your classes in 9 weeks, you need to complete 1 module a week.

If you are completing your classes in 6 weeks, you need to complete 1 ½ modules a week.

If you are completing your classes in 3 weeks, you need to complete 3 modules a week.

BOA Pre-algebra Course Completion Guideline

MODULE ONE

Basic Math

Addition and Subtraction

Integer Sum

The Additive Inverse of Integers

Adding Integers

Using the Identity Property of Addition

Using the Commutative Property of Addition

Using the Associative Property of Addition

Integer Difference

Subtracting Integers

Checking Subtraction by Addition

Solving Addition Subtraction Story Problems

Multiplication and Division

Using the Identity Property of Multiplication

Using the Commutative Property of Multiplication

Using the Associative Property of Multiplication

Using the Distributive Property of Multiplication over Addition

Multiplying Integers

Multiplying by a Multiple of 10 or 100

Solving Multiplication Story Problems

Integer Product and Quotient

Dividing Integers

MODULE TWO

Solving Division Story Problems

Writing a Quotient as a Mixed Number

Identifying Multiples

Finding Common Multiples the Least

Common Multiple

Fractions/Decimals

Basic Fractions

Meaning of Fractions

Fraction Notation: Numerator & Denominator

Proper Fractions Improper Fractions

Renaming Improper Fractions as Whole or Mixed

Numbers

Renaming Mixed Numbers as Improper Fractions

Simplifying Fractions

Finding Equivalent Fractions

Equivalent Fractions

Improper Fractions Mixed Numbers

Working with Common Denominators the Least

Common Denominator

Comparing Fractions

Ordering Fractions

Adding and Subtracting Fractions

Adding & Subtracting Fractions: Like Denominators

Adding & Subtracting Fractions: Unlike Denominators

Adding & Subtracting Fractions 1

MODULE THREE

Adding & Subtracting Fractions 2

Adding Mixed Numbers

Subtracting Mixed Numbers: Like Denominators

Subtracting Mixed Numbers: Unlike Denominators

Subtracting Mixed Numbers 1

Subtracting Mixed Numbers 2

Fractional Numbers: Addition & Subtraction

Multiplying and Dividing Fractions

Multiplying Fractions

Multiplying Two Fractions

Multiplying Whole Numbers & Mixed Numbers

Dividing a Fraction by a Fraction

Dividing Fractions 1

Dividing Fractions 2

Dividing Fractions, Whole Numbers, & Mixed Numbers

Fractional Numbers: Multiplication & Division

Multiplying Dividing Mixed Numbers 1

Multiplying Dividing Mixed Numbers 2

Solving Fraction Story Problems

Problem Solving 4

MODULE FOUR

Understanding Decimals

Understanding Decimals: Tenths

Understanding Decimal Place Value: Tenths &

Hundredths

Understanding Decimal Place Value: Thousandths &

Ten-Thousandths

Relating Decimals, Fractions, & Mixed Numbers

Comparing & Ordering Decimals

Decimal Fractions 1

Decimal Fractions 2

Adding & Subtracting Decimals

Multiplying Decimals

Dividing Decimal

Adding & Subtracting Decimals

Multiplying Decimals

Multiplying Decimals by 10 or 100

Dividing Decimals

Dividing a 2-Digit Number by 10 or 100

Renaming a Fraction as a Decimal

Rounding Decimals

Solving Decimal Story Problems

Problem Solving 5

MODULE FIVE

Ratios/Proportions/Percent

Ratios/Proportions/Probabilities

Ratio Concepts

Probability - Pre-Algebra

Proportion Concepts

Probability Possible Outcomes

Probability of an Event

Solving Problems with Probability

Percent

Understanding Percent

Percent Concepts 1

Finding a Percent of a Whole Number

Finding a Percent of a Decimal Number

Percents, Part 1

Percents, Part 2

Visualizing Percents Less than 1%

Converting Percents Less than 1% to Decimals

Finding the Amount with Percents Less than 1%

Visualizing Percents Greater than 100%

Converting Percents Greater than 100% to Decimals

Converting a Number Greater than 1 to a Percent

MODULE SIX

Solving Problems with Percents

Review

Ratio/Proportion/Percent Review

Relating Fractions, Decimals, Percents

Problem Solving 6

Estimation

Estimation Basics

Estimation by Clustering

Mean/Median/Mode

Mean, Median, & Mode

Solving Problems with Mean, Median, & Mode

Introducing Number Ideas

Odd & Even Numbers

Prime & Composite Numbers

Odd/Even/Prime/Composite Numbers

Absolute Value

Using Basic Number Ideas

Basic Set Concepts

Set Union & Intersection

Review: Sets & Numbers

Exponents/Roots/Radicals

Exponents

Exponents: Exponential Form

Exponents: Expanded Form

MODULE SEVEN

Exponents: Product Rule

Exponents: Power Rule

Exponents - Pre-Algebra

Exponents - Beginning Algebra

Quotient Power

Integer Exponents the Product Rule

Integer Exponents the Quotient Rule

Roots and Radicals

Square Roots - Pre-Algebra

Square Roots - Beginning Algebra

Square Roots of Perfect Squares

Square Roots of Imperfect Squares

Roots Radicals

Math Sentences

Variables

Variables

Monomials

Monomial Sum & Difference

Monomial Product & Quotient

Binomials

Binomial Sum & Difference

MODULE EIGHT

Polynomial Sum & Difference

Polynomial Product

Polynomial Quotient

Equations and Math Sentences

Linear Equations: 1 Variable

Linear Equations in 1 Variable: Solving by Inspection

Linear Equations in 1 Variable: Isolating the Variable

Simple Equations

Solving Equations

Using Math Sentences, Part 1

Word Problems 1

Inequalities

Linear Inequalities: 1 Variable

Linear Inequalities in 1 Variable, Part 1

Linear Inequalities in 1 Variable, Part 2

Inequalities 1

Inequalities 2

Graphing

Coordinate Plane

Identifying Points on a Coordinate Plane

Graphing

MODULE NINE

Graphs, Slopes, y-Intercepts

Equations, Graphs, Slopes, y-Intercepts

Linear Patterns

Ordered Pairs as Solutions of Linear Equations

Graphs and Charts

Graphing & Charting

Introduction to Data in Tables

Reading Data in Tables

Tables

Using Pictographs

Reading Pie Charts

Using Pie Charts

Introduction to Line Graphs

Reading Line Graphs

Using Line Graphs

Introduction to Bar Graphs

Reading Bar Graphs

Using Bar Graphs

Using Histogram