Accelerated Arithmetic and Pre-Algebra: Making Math Meaningful

CHAPTER 1: Introduction to Number Sense
1.1 Reading and Writing Numbers
1.2 Comparing and Ordering Numbers
1.3 Writing Number Sentences
1.4 Rounding Whole Numbers
1.5 Estimating Sums and Differences
1.6 Adding and Subtracting Whole Numbers
1.7 Following Rules for Order of Operations

CHAPTER 2:  Whole Numbers, Central Tendencies, & Introduction to  Order of Operations
2.1 Estimating Products 18 2.2 Multiplying Whole Numbers
2.3  Estimating Quotients: Dividing by a One-Digit Number
2.4 Dividing by a One-Digit Number
2.5  Estimating Quotients: Dividing by a Two-Digit Number
2.6 Dividing by a Two-Digit Number
2.7 Finding Central Tendencies: Mean, Median, Mode

CHAPTER 3: Signed Numbers and Decimal Concepts
3.1 Understanding Number Lines
3.2 Adding Signed Numbers
3.3 Subtracting Signed Numbers
3.4 Multiplying and Dividing Signed Numbers
3.5 Understanding Decimal Place Value
3.6 Reading and Writing Decimals
3.7 Comparing and Ordering Decimals
3.8 Adding and Subtracting Decimals

CHAPTER 4: Fractional Concepts
4.1 Identifying Fraction Types
4.2 Finding the Greatest Common Factor
4.3 Simplifying Fractions: Reducing to Lowest Terms
4.4 Relating Decimals to Fractions
4.5 Raising Fractions to Higher Terms
4.6 Finding Common Multiples  
4.7 Comparing and Ordering Fractions

CHAPTER 5: Adding and Subtracting Fractions
5.1 Converting Improper Fractions to Mixed Numbers
5.2 Adding Like Fractions
5.3 Adding Unlike Fractions
5.4 Adding Mixed Numbers
5.5 Subtracting Fractions from Whole Numbers
5.6 Subtracting Fractions from Fractions
5.7 Adding and Subtracting Signed Numbers

CHAPTER 6: Multiplying and Dividing Fractions and Decimals
6.1 Multiplying Fractions by Fractions
6.2  Multiplying Fractions by Whole Numbers and  Mixed Numbers
6.3 Dividing Fractions by Fractions
6.4 Dividing Fractions by Whole Numbers or Mixed Numbers
6.5 Multiplying Decimals
6.6 Dividing Decimals by Whole Numbers
6.7 Dividing Decimals by Decimal Divisors
6.8 Multiplying and Dividing Numbers by 10, 100, or 1,000

CHAPTER 7: Powers, Exponents, and Roots
7.1 Understanding Powers of Ten
7.2 Adding and Subtracting Exponential Terms
7.3  Multiplying and Dividing Exponential Terms with Like Bases
7.4 Understanding Squares and Square Roots
7.5  Estimating the Value of Square Roots of Nonperfect Squares
7.6 Practicing with Complex Order of Operations

CHAPTER 8: One-Step Algebraic Equations
8.1 Writing Algebraic Expressions
8.2 Simplifying Algebraic Expressions
8.3 Evaluating Algebraic Expressions
8.4 Solving One Step Addition and Subtraction Equations
8.5 Solving One Step Multiplication Equations
8.6 Solving One Step Division Equations

CHAPTER 9: Multi-Step Equations
9.1 Solving One Step Equations with a Fractional Coefficients
9.2 Solving Multi-Step Equations
9.3 Combining Like Terms to Solve Equations
9.4 Solving Equations with Terms on Both Sides of the Equation
9.5 Simplifying Algebraic Expressions with Parentheses
9.6 Solving Equations with Parentheses
9.7 Factoring Algebraic Expressing

CHAPTER 10: Ratios, Rates, Conversions Proportions, Percent, and Interest
10.1 Understanding Ratios
10.2 Understanding Rates  
10.3 Understanding Proportions
10.4 Finding a Missing Number in a Proportion
10.5 Understanding Conversions
10.6 Converting Fractions to Decimals

CHAPTER 11: Percent and Simple Interest  
11.1 Introducing Percent and Percent Fractions
11.2 Relating Fractions and Decimals
11.3 Relating Fractions, Decimals, and Percents
11.4 Identifying Values in Percent Questions
11.5 Using the Proportion Method to Solve Percent Questions  
11.6 Applying Percent to Everyday Life
11.7 Finding Percent of Change: Increase and Decrease
11.8 Finding Simple Interest

CHAPTER 12: Perimeter, Area, Circumference, and Signed Fractions
12.1  Introducing Basic Geometric Shapes:   Square, Rectangle, and Triangle
12.2 Finding Perimeters: Squares, Rectangles, and Triangles
12.3 Finding Areas: Squares, Rectangles, and Triangles
12.4 Introducing the Circle
12.5 Finding Circumference: Circles
12.6 Finding Area: Circles

Answer Keys