### Common Core State Standards (CCSS) Edition Lesson List

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Unit 1: Number Theory
Lesson
1-1 Introduction to the Student Reference Book
1-2 Rectangular Arrays
1-3 Factors
1-4 The Factor Captor Game
1-5 Divisibility
1-6 Prime and Composite Numbers
1-7 Square Numbers
1-8 Unsquaring Numbers
1-9 Factor Strings and Prime Factorizations
1-10 Progress Check 1
Unit 2: Estimation and Computation
Lesson
2-1 Estimation Challenge
2-2 Addition of Whole Numbers and Decimals
2-3 Subtraction of Whole Numbers and Decimals
2-4 Addition and Subtraction Number Stories
2-6 Chance Events
2-7 Estimating Products
2-8 Multiplication of Whole Numbers and Decimals
2-9 The Lattice Method of Multiplication
2-10 Comparing Millions, Billions, and Trillions
2-11 Progress Check 2
Unit 3: Geometry Explorations and the American Tour
Lesson
3-1 Introduction to the American Tour
3-2 American Tour: Population Data
3-3 Exploring Angle Measures
3-4 Using a Protractor
3-5 Using a Compass
3-6 Congruent Triangles
3-7 Properties of Polygons
3-8 Regular Tessellations
3-9 Angles of Polygons
3-10 Solving Problems Using the Geometry Template
3-11 Progress Check 3
Unit 4: Division
Lesson
4-1 Division Facts and Extension
4-2 The Partial-Quotients Division Algorithm
4-3 American Tour: Finding Distances on a Map
4-4 Partial-Quotients Algorithm Strategies
4-5 Division of Decimal Numbers
4-6 Interpreting the Remainder
4-7 Skills Review with First to 100
4-8 Progress Check 4
Unit 5: Fractions, Decimals, and Percents
Lesson
5-1 Fraction Review
5-2 Mixed Numbers
5-3 Comparing and Ordering Fractions
5-4 Two Rules for Finding Equivalent Fractions
5-5 Fractions and Decimals: Part 1
5-6 Fractions and Decimals: Part 2
5-7 Fractions and Decimals: Part 3
5-8 Using a Calculator to Convert Fractions to Percents
5-9 Bar and Circle Graphs
5-10 The Percent Circle: Reading Circle Graphs
5-11 The Percent Circle: Making Circle Graphs
5-12 American Tour: School Days
5-13 Progress Check 5
Unit 6: Using Data; Addition and Subtraction of Fractions
Lesson
6-1 Organizing Data
6-2 Natural Measures of Length
6-3 Stem-and-Leaf Plots for Hand and Finger Measures
6-4 Mystery Plots
6-5 Sample Size and Sound Conclusions
6-6 Analysis of Sample Data
6-7 American Tour: Climate
6-8 Using Benchmarks with Fraction Addition and Subtraction
6-9 Clock Fractions and Common Denominators
6-10 Quick Common Denominators
6-11 Progress Check 6
Unit 7: Exponents and Negative Numbers
Lesson
7-1 Exponential Notation
7-2 Exponential Notation for Powers of 10
7-3 Scientific Notation
7-4 Parentheses in Number Sentences
7-5 Order of Operations
7-6 American Tour: Line Graphs
7-7 Using Negative Numbers
7-8 Addition of Positive and Negative Numbers
7-9 Subtraction of Positive and Negative Numbers
7-10 Line Plots
7-11 Calculator Practice: Working with Negative Numbers
7-12 Progress Check 7
Unit 8: Fractions and Ratios
Lesson
8-1 Review: Comparing Fractions
8-3 Subtracting Mixed Numbers
8-4 Calculator Practice: Computation with Fractions
8-5 Fractions of Fractions
8-6 An Area Model for Fraction Multiplication
8-7 Multiplication of Fractions and Whole Numbers
8-8 Multiplication of Mixed Numbers
8-9 Finding a Percent of a Number
8-10 Relating Fractional Units to the Whole
8-11 American Tour: Rural and Urban
8-12 Fraction Division
8-13 Progress Check 8
Unit 9: Coordinates, Area, Volume, and Capacity
Lesson
9-1 Hidden Treasure: A Coordinate Game
9-2 Coordinate Graphs: Part 1
9-3 Coordinate Graphs: Part 2
9-4 Areas of Rectangles
9-5 The Rectangle Method for Finding Area
9-6 Formulas for the Area of Triangles and Parallelograms
9-7 Earth's Water Surface
9-8 Volume of Rectangular Prisms
9-9 Volume of Right Prisms
9-10 Capacity: Liter, Milliliter, and Cubic Centimeter
9-11 Progress Check 9
Unit 10: Using Data; Algebra Concepts and Skills
Lesson
10-1 Pan-Balance Problems
10-2 Pan-Balance Problems with Two Balances
10-3 Algebraic Expressions
10-4 Rules, Tables, and Graphs: Part 1
10-5 American Tour: Old Faithful's Next Eruption
10-6 Rules, Tables, and Graphs: Part 2
10-8 Circumference of a Circle
10-9 Area of Circles
10-10 Progress Check 10
Unit 11: Volume
Lesson
11-1 Review of Geometric Solids: Part 1
11-2 Review of Geometric Solids: Part 2
11-3 Volume of Cylinders
11-4 Volume of Pyramids and Cones
11-5 Finding Volume by a Displacement Method
11-6 Capacity and Weight
11-7 Surface Area
11-8 Progress Check 11
Unit 12: Probability, Ratios, and Rates
Lesson
12-1 Factor Trees
12-2 Choices, Tree Diagrams, and Probability
12-3 American Tour: Ratio Exploration
12-4 Ratios of Parts to Wholes
12-5 Number Models for Ratio Number Stories
12-7 Collecting, Graphing, and Interpreting Data
12-9 Progress Check 12
Projects
Project
1 The Sieve of Eratosthenes
2 Deficient, Abundant, and Perfect Numbers
3 An Ancient Multiplication Algorithm
4 “Magic” Computation Tricks
5 How Would You Spend \$1,000,000?
6 Sports Areas
7 Polygon Areas and Pick’s Formula
8 Pendulums
9 Adding Volumes of Solid Figures
Algorithm Projects
Algorithm
8 U.S. Traditional Long Division with Decimals Dividends

### 3rd Edition Lesson List

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Unit 1: Number Theory
Lesson
1-1 Introduction to the Student Reference Book
1-2 Rectangular Arrays
1-3 Factors
1-4 The Factor Captor Game
1-5 Divisibility
1-6 Prime and Composite Numbers
1-7 Square Numbers
1-8 Unsquaring Numbers
1-9 Factor Strings and Prime Factorizations
1-10 Progress Check 1
Unit 2: Estimation and Computation
Lesson
2-1 Estimation Challenge
2-2 Addition of Whole Numbers and Decimals
2-3 Subtraction of Whole Numbers and Decimals
2-4 Addition and Subtraction Number Stories
2-6 Chance Events
2-7 Estimating Products
2-8 Multiplication of Whole Numbers and Decimals
2-9 The Lattice Method of Multiplication
2-10 Comparing Millions, Billions, and Trillions
2-11 Progress Check 2
Unit 3: Geometry Explorations and the American Tour
Lesson
3-1 Introduction to the American Tour
3-2 American Tour: Population Data
3-3 Exploring Angle Measures
3-4 Using a Protractor
3-5 Using a Compass
3-6 Congruent Triangles
3-7 Properties of Polygons
3-8 Regular Tessellations
3-9 Angles of Polygons
3-10 Solving Problems Using the Geometry Template
3-11 Progress Check 3
Unit 4: Division
Lesson
4-1 Division Facts and Extensions
4-2 The Partial-Quotients Division Algorithm
4-3 American Tour: Finding Distance on a Map
4-4 Partial-Quotients Algorithm Strategies
4-5 Division of Decimal Numbers
4-6 Interpreting the Remainder
4-7 Skills Review with First to 100
4-8 Progress Check 4
Unit 5: Fractions, Decimals, and Percents
Lesson
5-1 Fraction Review
5-2 Mixed Numbers
5-3 Comparing and Ordering Fractions
5-4 Two Rules for Finding Equivalent Fractions
5-5 Fractions and Decimals: Part 1
5-6 Fractions and Decimals: Part 2
5-7 Fractions and Decimals: Part 3
5-8 Using a Calculator to Convert Fractions to Percents
5-9 Bar and Circle Graphs
5-10 The Percent Circle: Reading Circle Graphs
5-11 The Percent Circle: Making Circle Graphs
5-12 American Tour: School Days
5-13 Progress Check 5
Unit 6: Using Data; Addition and Subtraction of Fractions
Lesson
6-1 Organizing Data
6-2 Natural Measures of Length
6-3 Stem-and-Leaf Plots for Hand and Finger Measures
6-4 Mystery Plots
6-5 Sample Size and Sound Conclusions
6-6 Analysis of Sample Data
6-7 American Tour: Climate
6-8 Using a Slide Rule to Add and Subtract Fractions
6-9 Clock Fractions and Common Denominators
6-10 Quick Common Denominators
6-11 Progress Check 6
Unit 7: Exponents and Negative Numbers
Lesson
7-1 Exponential Notation
7-2 Exponential Notation for Powers of 10
7-3 Scientific Notation
7-4 Parentheses in Number Sentences
7-5 Order of Operations
7-6 American Tour: Line Graphs
7-7 Using Negative Numbers
7-8 Addition of Positive and Negative Numbers
7-9 Subtraction of Positive and Negative Numbers
7-10 Using a Slide Rule to Add and Subtract
7-11 Calculator Practice: Working with Negative Numbers
7-12 Progress Check 7
Unit 8: Fractions and Ratios
Lesson
8-1 Review: Comparing Fractions
8-3 Subtracting Mixed Numbers
8-4 Calculator Practice: Computation with Fractions
8-5 Fractions of Fractions
8-6 An Area Model for Fraction Multiplication
8-7 Multiplication of Fractions and Whole Numbers
8-8 Multiplication of Mixed Numbers
8-9 Finding a Percent of a Number
8-10 Relating Fractional Units to the Whole
8-11 American Tour: Rural and Urban
8-12 Fraction Division
8-13 Progress Check 8
Unit 9: Coordinates, Areas, Volume, and Capacity
Lesson
9-1 Hidden Treasure: A Coordinate Game
9-2 Coordinate Graphs: Part 1
9-3 Coordinate Graphs: Part 2
9-4 Areas of Rectangles
9-5 The Rectangle Method for Finding Area
9-6 Formulas for the Area of Triangles and Parallelograms
9-7 Earth's Water Surface
9-8 Volume of Rectangular Prisms
9-9 Volume of Right Prisms
9-10 Capacity: Liter, Milliliter, and Cubic Centimeter
9-11 Progress Check 9
Unit 10: Using Data; Algebra Concepts and Skills
Lesson
10-1 Pan-Balance Problems
10-2 Pan-Balance Problems with Two Balances
10-3 Algebraic Expressions
10-4 Rules, Tables, and Graphs: Part 1
10-5 American Tour: Old Faithful's Next Eruption
10-6 Rules, Tables, and Graphs: Part 2
10-8 Circumference of a Circle
10-9 Area of Circles
10-10 Progress Check 10
Unit 11: Volume
Lesson
11-1 Review of Geometric Solids: Part 1
11-2 Review of Geometric Solids: Part 2
11-3 Volume of Cylinders
11-4 Volume of Pyramids and Cones
11-5 Finding Volume by a Displacement Method
11-6 Capacity and Weight
11-7 Surface Area
11-8 Progress Check 11
Unit 12: Probability, Ratios, and Rates
Lesson
12-1 Factor Trees
12-2 Choices, Tree Diagrams, and Probability
12-3 American Tour: Ratio Exploration
12-4 Ratios of Parts to Wholes
12-5 Number Models for Ratio Number Stories
12-7 Collecting, Graphing, and Interpreting Data
12-9 Progress Check 12