1	Module 1
Lesson 1.1:  Number: Reviewing Six-Digit Numbers		1. Writing numbers up to one million in words: convert words to digits 2. Writing numbers up to one million in words: convert digits to words Also consider: • Spell word names for numbers up to one million
Lesson 1.1:  Number: Reviewing Six-Digit Numbers
1. Writing numbers up to one million in words: convert words to digits 2. Writing numbers up to one million in words: convert digits to words Also consider: • Spell word names for numbers up to one million
Lesson 1.2:  Number: Reading and Writing Seven-Digit Numbers		1. Value of a digit
Lesson 1.2:  Number: Reading and Writing Seven-Digit Numbers
1. Value of a digit
Lesson 1.3:  Number: Locating Seven-Digit Numbers on a Number Line		1. Identify place value names
Lesson 1.3:  Number: Locating Seven-Digit Numbers on a Number Line
1. Identify place value names
Lesson 1.4:  Number: Comparing and Ordering Seven-Digit Numbers		1. Compare numbers up to millions
Lesson 1.4:  Number: Comparing and Ordering Seven-Digit Numbers
1. Compare numbers up to millions
Lesson 1.5:  Number: Reading and Writing Eight- and Nine-Digit Numbers		1. Place value 2. Writing numbers up to one billion in words: convert words to digits 3. Writing numbers up to one billion in words: convert digits to words
Lesson 1.5:  Number: Reading and Writing Eight- and Nine-Digit Numbers
1. Place value 2. Writing numbers up to one billion in words: convert words to digits 3. Writing numbers up to one billion in words: convert digits to words
Lesson 1.6:  Number: Working with Millions Expressed as Fractions		1. Put numbers in order
Lesson 1.6:  Number: Working with Millions Expressed as Fractions
1. Put numbers in order
Lesson 1.7:  Number: Rounding Numbers Up to Nine Digits		1. Rounding
Lesson 1.7:  Number: Rounding Numbers Up to Nine Digits
1. Rounding
Lesson 1.8:  Algebra: Investigating Order with One Operation		1. Add using properties
Lesson 1.8:  Algebra: Investigating Order with One Operation
1. Add using properties
Lesson 1.9:  Algebra: Investigating Order with Two Operations		1. Multiply using properties
Lesson 1.9:  Algebra: Investigating Order with Two Operations
1. Multiply using properties
Lesson 1.10:  Algebra: Working with Expressions (without Parentheses)		1. Evaluate numerical expressions
Lesson 1.10:  Algebra: Working with Expressions (without Parentheses)
1. Evaluate numerical expressions
Lesson 1.11:  Algebra: Working with Expressions (with Parentheses)		1. Evaluate numerical expressions with parentheses 2. Evaluate numerical expressions with parentheses in different places Also consider: • Identify mistakes involving the order of operations • Missing operators
Lesson 1.11:  Algebra: Working with Expressions (with Parentheses)
1. Evaluate numerical expressions with parentheses 2. Evaluate numerical expressions with parentheses in different places Also consider: • Identify mistakes involving the order of operations • Missing operators
Lesson 1.12:  Algebra: Working with Expressions (with and without Parentheses)		1. Write numerical expressions: two operations 2. Write numerical expressions for word problems 3. Multi-step word problems
Lesson 1.12:  Algebra: Working with Expressions (with and without Parentheses)
1. Write numerical expressions: two operations 2. Write numerical expressions for word problems 3. Multi-step word problems

2	Module 2
Lesson 2.1:  Multiplication: Reviewing the Standard Algorithm		1. Multiply using the distributive property
Lesson 2.1:  Multiplication: Reviewing the Standard Algorithm
1. Multiply using the distributive property
Lesson 2.2:  Multiplication: Using the Standard Algorithm with Three and Four-Digit Factors		1. Multiply 1-digit numbers by 3-digit or 4-digit numbers using area models 2. Multiply 1-digit numbers by larger numbers 3. Multiply 1-digit numbers by larger numbers: word problems
Lesson 2.2:  Multiplication: Using the Standard Algorithm with Three and Four-Digit Factors
1. Multiply 1-digit numbers by 3-digit or 4-digit numbers using area models 2. Multiply 1-digit numbers by larger numbers 3. Multiply 1-digit numbers by larger numbers: word problems
Lesson 2.3:  Multiplication: Using the Standard Algorithm with Two Two-Digit Factors		1. Multiply 2-digit numbers by 2-digit numbers using area models 2. Multiply 2-digit numbers using partial products 3. Multiply 2-digit numbers by 2-digit numbers
Lesson 2.3:  Multiplication: Using the Standard Algorithm with Two Two-Digit Factors
1. Multiply 2-digit numbers by 2-digit numbers using area models 2. Multiply 2-digit numbers using partial products 3. Multiply 2-digit numbers by 2-digit numbers
Lesson 2.4:  Multiplication: Using the Standard Algorithm with Two- and Three-Digit Factors		1. Multiply 2-digit numbers by 3-digit numbers Also consider: • Multiply 2-digit numbers by larger numbers
Lesson 2.4:  Multiplication: Using the Standard Algorithm with Two- and Three-Digit Factors
1. Multiply 2-digit numbers by 3-digit numbers Also consider: • Multiply 2-digit numbers by larger numbers
Lesson 2.5:  Multiplication: Extending the Standard Algorithm		1. Estimate products of 3-digit numbers 2. Multiply by 3-digit numbers
Lesson 2.5:  Multiplication: Extending the Standard Algorithm
1. Estimate products of 3-digit numbers 2. Multiply by 3-digit numbers
Lesson 2.6:  Multiplication: Solving Word Problems		1. Multiply multi-digit numbers: word problems 2. Multi-step word problems: identify reasonable answers
Lesson 2.6:  Multiplication: Solving Word Problems
1. Multiply multi-digit numbers: word problems 2. Multi-step word problems: identify reasonable answers
Lesson 2.7:  Volume: Developing the Concept		1. Volume of rectangular prisms made of unit cubes 2. Volume of irregular figures made of unit cubes
Lesson 2.7:  Volume: Developing the Concept
1. Volume of rectangular prisms made of unit cubes 2. Volume of irregular figures made of unit cubes
Lesson 2.8:  Volume: Analyzing Unit Cubes and Measuring Volume		1. Volume of rectangular prisms made of unit cubes: word problems
Lesson 2.8:  Volume: Analyzing Unit Cubes and Measuring Volume
1. Volume of rectangular prisms made of unit cubes: word problems
Lesson 2.9:  Volume: Developing a Formula		1. Volume of cubes and rectangular prisms
Lesson 2.9:  Volume: Developing a Formula
1. Volume of cubes and rectangular prisms
Lesson 2.10:  Volume: Finding the Dimensions of Prisms with a Given Volume		1. Compare volumes and dimensions of rectangular prisms: word problems
Lesson 2.10:  Volume: Finding the Dimensions of Prisms with a Given Volume
1. Compare volumes and dimensions of rectangular prisms: word problems
Lesson 2.11:  Volume: Composing and Decomposing Prisms		1. Volume of compound figures
Lesson 2.11:  Volume: Composing and Decomposing Prisms
1. Volume of compound figures
Lesson 2.12:  Volume: Solving Real-World Problems		1. Volume of cubes and rectangular prisms: word problems
Lesson 2.12:  Volume: Solving Real-World Problems
1. Volume of cubes and rectangular prisms: word problems

3	Module 3
Lesson 3.1:  Decimal Fractions: Reviewing Tenths and Hundredths (Area Model)		1. What decimal number is illustrated? 2. Model decimals and fractions
Lesson 3.1:  Decimal Fractions: Reviewing Tenths and Hundredths (Area Model)
1. What decimal number is illustrated? 2. Model decimals and fractions
Lesson 3.2:  Decimal Fractions: Reviewing Tenths and Hundredths (Number Line)		1. Decimal number lines
Lesson 3.2:  Decimal Fractions: Reviewing Tenths and Hundredths (Number Line)
1. Decimal number lines
Lesson 3.3:  Decimal Fractions: Introducing Thousandths		1. Identify place values in decimal numbers 2. Convert fractions and decimals
Lesson 3.3:  Decimal Fractions: Introducing Thousandths
1. Identify place values in decimal numbers 2. Convert fractions and decimals
Lesson 3.4:  Decimal Fractions: Reading and Writing Thousandths (without Zeros and Teens)		1. Convert fractions and mixed numbers to decimals: denominators of 10, 100, or 1,000
Lesson 3.4:  Decimal Fractions: Reading and Writing Thousandths (without Zeros and Teens)
1. Convert fractions and mixed numbers to decimals: denominators of 10, 100, or 1,000
Lesson 3.5:  Decimal Fractions: Reading and Writing Thousandths (with Zeros and Teens)		1. Understanding decimals expressed in words
Lesson 3.5:  Decimal Fractions: Reading and Writing Thousandths (with Zeros and Teens)
1. Understanding decimals expressed in words
Lesson 3.6:  Decimal Fractions: Recording in Expanded Form		1. Convert decimals between standard and expanded form 2. Convert decimals between standard and expanded form using fractions
Lesson 3.6:  Decimal Fractions: Recording in Expanded Form
1. Convert decimals between standard and expanded form 2. Convert decimals between standard and expanded form using fractions
Lesson 3.7:  Decimal Fractions: Locating Thousandths on a Number Line		1. Graph decimals on number lines
Lesson 3.7:  Decimal Fractions: Locating Thousandths on a Number Line
1. Graph decimals on number lines
Lesson 3.8:  Decimal Fractions: Comparing and Ordering Thousandths		1. Compare decimals to a model 2. Compare decimals on number lines
Lesson 3.8:  Decimal Fractions: Comparing and Ordering Thousandths
1. Compare decimals to a model 2. Compare decimals on number lines
Lesson 3.9:  Decimal Fractions: Comparing and Ordering with Unequal Places		1. Compare decimal numbers 2. Put decimal numbers in order
Lesson 3.9:  Decimal Fractions: Comparing and Ordering with Unequal Places
1. Compare decimal numbers 2. Put decimal numbers in order
Lesson 3.10:  Decimal Fractions: Rounding Thousandths		1. Identify rounded decimals
Lesson 3.10:  Decimal Fractions: Rounding Thousandths
1. Identify rounded decimals
Lesson 3.11:  Decimal Fractions: Rounding with Unequal Decimal Places		1. Round decimals
Lesson 3.11:  Decimal Fractions: Rounding with Unequal Decimal Places
1. Round decimals
Lesson 3.12:  Decimal Fractions: Interpreting Results on a Line Plot		1. Create line plots with fractions
Lesson 3.12:  Decimal Fractions: Interpreting Results on a Line Plot
1. Create line plots with fractions

4	Module 4
Lesson 4.1:  Common Fraction: Reviewing Equivalent Fractions (Related Denominators)		1. Find equivalent fractions using area models 2. Equivalent fractions
Lesson 4.1:  Common Fraction: Reviewing Equivalent Fractions (Related Denominators)
1. Find equivalent fractions using area models 2. Equivalent fractions
Lesson 4.2:  Common Fractions: Reviewing Equivalent Fractions (Related and Unrelated Denominators)		1. Equivalent fractions: find the missing numerator or denominator Also consider: • Equivalent fractions: word problems
Lesson 4.2:  Common Fractions: Reviewing Equivalent Fractions (Related and Unrelated Denominators)
1. Equivalent fractions: find the missing numerator or denominator Also consider: • Equivalent fractions: word problems
Lesson 4.3:  Common Fractions: Reviewing the Relationship with Mixed Numbers		1. Graph and compare fractions on number lines
Lesson 4.3:  Common Fractions: Reviewing the Relationship with Mixed Numbers
1. Graph and compare fractions on number lines
Lesson 4.4:  Common Fractions: Converting Improper Fractions to Mixed Numbers		1. Convert improper fractions to mixed numbers
Lesson 4.4:  Common Fractions: Converting Improper Fractions to Mixed Numbers
1. Convert improper fractions to mixed numbers
Lesson 4.5:  Common Fractions: Converting Mixed Numbers to Improper Fractions		1. Convert mixed numbers to improper fractions
Lesson 4.5:  Common Fractions: Converting Mixed Numbers to Improper Fractions
1. Convert mixed numbers to improper fractions
Lesson 4.6:  Common Fractions: Solving Word Problems		1. Compare fractions: word problems
Lesson 4.6:  Common Fractions: Solving Word Problems
1. Compare fractions: word problems
Lesson 4.7:  Length: Converting Between Inches and Feet		1. Convert customary units of length: feet and inches
Lesson 4.7:  Length: Converting Between Inches and Feet
1. Convert customary units of length: feet and inches
Lesson 4.8:  Length: Converting Customary Units		1. Compare and convert customary units of length 2. Convert customary units of length involving fractions
Lesson 4.8:  Length: Converting Customary Units
1. Compare and convert customary units of length 2. Convert customary units of length involving fractions
Lesson 4.9:  Capacity: Converting Customary Units		1. Conversion tables - customary units of volume 2. Convert customary units of capacity Also consider: • Compare customary units of capacity
Lesson 4.9:  Capacity: Converting Customary Units
1. Conversion tables - customary units of volume 2. Convert customary units of capacity Also consider: • Compare customary units of capacity
Lesson 4.10:  Mass: Converting Customary Units		1. Compare and convert customary units of weight
Lesson 4.10:  Mass: Converting Customary Units
1. Compare and convert customary units of weight
Lesson 4.11:  Mass/Capacity: Solving Word Problems (Customary Units)		1. Multi-step problems with customary unit conversions
Lesson 4.11:  Mass/Capacity: Solving Word Problems (Customary Units)
1. Multi-step problems with customary unit conversions
Lesson 4.12:  Mass: Solving Real-World Problems on a Line Plot		1. Interpret line plots with whole numbers
Lesson 4.12:  Mass: Solving Real-World Problems on a Line Plot
1. Interpret line plots with whole numbers

5	Module 5
Lesson 5.1:  Decimal Fractions: Reviewing Addition Strategies (without Composing)		1. Add decimal numbers using blocks
Lesson 5.1:  Decimal Fractions: Reviewing Addition Strategies (without Composing)
1. Add decimal numbers using blocks
Lesson 5.2:  Decimal Fractions: Adding (with Composing)		1. Add two decimal numbers
Lesson 5.2:  Decimal Fractions: Adding (with Composing)
1. Add two decimal numbers
Lesson 5.3:  Decimal Fractions: Using the Standard Algorithm to Add (with Composing)		1. Choose decimals with a particular sum
Lesson 5.3:  Decimal Fractions: Using the Standard Algorithm to Add (with Composing)
1. Choose decimals with a particular sum
Lesson 5.4:  Decimal Fractions: Using the Standard Algorithm to Add More Than Two Addends		1. Add 3 or more decimals Also consider: • Perimeter with decimal side lengths
Lesson 5.4:  Decimal Fractions: Using the Standard Algorithm to Add More Than Two Addends
1. Add 3 or more decimals Also consider: • Perimeter with decimal side lengths
Lesson 5.5:  Decimal Fractions: Subtracting Tenths and Hundredths		1. Subtract decimal numbers using blocks
Lesson 5.5:  Decimal Fractions: Subtracting Tenths and Hundredths
1. Subtract decimal numbers using blocks
Lesson 5.6:  Decimal Fractions: Using the Standard Algorithm to Subtract		1. Subtract two decimal numbers
Lesson 5.6:  Decimal Fractions: Using the Standard Algorithm to Subtract
1. Subtract two decimal numbers
Lesson 5.7:  Decimal Fractions: Subtracting Tenths (Decomposing Ones)		1. Estimate differences of decimals using rounding
Lesson 5.7:  Decimal Fractions: Subtracting Tenths (Decomposing Ones)
1. Estimate differences of decimals using rounding
Lesson 5.8:  Decimal Fractions: Subtracting Hundredths (Decomposing Tenths)		1. Add and subtract two decimal numbers
Lesson 5.8:  Decimal Fractions: Subtracting Hundredths (Decomposing Tenths)
1. Add and subtract two decimal numbers
Lesson 5.9:  Decimal Fractions: Subtracting (Decomposing Multiple Places)		1. Add and subtract decimals: word problems Also consider: • Choose decimals with a particular difference
Lesson 5.9:  Decimal Fractions: Subtracting (Decomposing Multiple Places)
1. Add and subtract decimals: word problems Also consider: • Choose decimals with a particular difference
Lesson 5.10:  2D Shapes: Identifying Parallelograms		1. Identify parallelograms 2. Identify rectangles 3. Identify rhombuses Also consider: • Parallel sides in quadrilaterals • Identify trapezoids
Lesson 5.10:  2D Shapes: Identifying Parallelograms
1. Identify parallelograms 2. Identify rectangles 3. Identify rhombuses Also consider: • Parallel sides in quadrilaterals • Identify trapezoids
Lesson 5.11:  2D Shapes: Exploring Categories of Quadrilaterals		1. Classify quadrilaterals 2. Identify the relationships between quadrilaterals 3. Describe relationships among quadrilaterals Also consider: • Draw quadrilaterals
Lesson 5.11:  2D Shapes: Exploring Categories of Quadrilaterals
1. Classify quadrilaterals 2. Identify the relationships between quadrilaterals 3. Describe relationships among quadrilaterals Also consider: • Draw quadrilaterals
Lesson 5.12:  2D Shapes: Identifying Categories of Triangles		1. Acute, obtuse, and right triangles 2. Scalene, isosceles, and equilateral triangles 3. Classify triangles
Lesson 5.12:  2D Shapes: Identifying Categories of Triangles
1. Acute, obtuse, and right triangles 2. Scalene, isosceles, and equilateral triangles 3. Classify triangles

6	Module 6
Lesson 6.1:  Common Fractions: Making Comparisons and Estimates		1. Compare fractions using benchmarks 2. Compare fractions and mixed numbers
Lesson 6.1:  Common Fractions: Making Comparisons and Estimates
1. Compare fractions using benchmarks 2. Compare fractions and mixed numbers
Lesson 6.2:  Common Fractions: Reviewing Addition Strategies (Same Denominators)		1. Decompose fractions multiple ways 2. Add fractions with like denominators
Lesson 6.2:  Common Fractions: Reviewing Addition Strategies (Same Denominators)
1. Decompose fractions multiple ways 2. Add fractions with like denominators
Lesson 6.3:  Common Fractions: Adding (Related Denominators)		1. Add fractions with unlike denominators using models
Lesson 6.3:  Common Fractions: Adding (Related Denominators)
1. Add fractions with unlike denominators using models
Lesson 6.4:  Common Fractions: Adding (Unrelated Denominators)		1. Add fractions with unlike denominators 2. Add fractions with unlike denominators: word problems Also consider: • Least common denominator • Add 3 or more fractions with unlike denominators
Lesson 6.4:  Common Fractions: Adding (Unrelated Denominators)
1. Add fractions with unlike denominators 2. Add fractions with unlike denominators: word problems Also consider: • Least common denominator • Add 3 or more fractions with unlike denominators
Lesson 6.5:  Common Fractions: Adding Mixed Numbers (Related Denominators)		1. Add mixed numbers with unlike denominators: without renaming
Lesson 6.5:  Common Fractions: Adding Mixed Numbers (Related Denominators)
1. Add mixed numbers with unlike denominators: without renaming
Lesson 6.6:  Common Fractions: Adding Mixed Numbers (Unrelated Denominators)		1. Add mixed numbers with unlike denominators: word problems
Lesson 6.6:  Common Fractions: Adding Mixed Numbers (Unrelated Denominators)
1. Add mixed numbers with unlike denominators: word problems
Lesson 6.7:  Common Fractions: Adding Mixed Numbers with Unrelated Denominators (Composing Whole Numbers)		1. Add mixed numbers with unlike denominators: with renaming
Lesson 6.7:  Common Fractions: Adding Mixed Numbers with Unrelated Denominators (Composing Whole Numbers)
1. Add mixed numbers with unlike denominators: with renaming
Lesson 6.8:  Division: Reviewing Strategies		1. Divide using area models
Lesson 6.8:  Division: Reviewing Strategies
1. Divide using area models
Lesson 6.9:  Division: Analyzing Partitioning Strategies		1. Divide using partial quotients
Lesson 6.9:  Division: Analyzing Partitioning Strategies
1. Divide using partial quotients
Lesson 6.10:  Division: Three- and Four-Digit Dividends and One-Digit Divisors (with Remainders)		1. Divide by 1-digit numbers: interpret remainders
Lesson 6.10:  Division: Three- and Four-Digit Dividends and One-Digit Divisors (with Remainders)
1. Divide by 1-digit numbers: interpret remainders
Lesson 6.11:  Division: Three- and Four-Digit Dividends with Divisors That Are Two-Digit Multiples of Five or Ten		1. Estimate quotients: 2-digit divisors
Lesson 6.11:  Division: Three- and Four-Digit Dividends with Divisors That Are Two-Digit Multiples of Five or Ten
1. Estimate quotients: 2-digit divisors
Lesson 6.12:  Division: Three- and Four-Digit Dividends and Any Two-Digit Divisor		1. Divide by 2-digit numbers using partial quotients
Lesson 6.12:  Division: Three- and Four-Digit Dividends and Any Two-Digit Divisor
1. Divide by 2-digit numbers using partial quotients

7	Module 7
Lesson 7.1:  Common Fractions: Exploring Strategies to Subtract (Same Denominators)		1. Subtract fractions with like denominators
Lesson 7.1:  Common Fractions: Exploring Strategies to Subtract (Same Denominators)
1. Subtract fractions with like denominators
Lesson 7.2:  Common Fractions: Subtracting (Related Denominators)		1. Subtract fractions with unlike denominators using models 2. Represent subtraction of fractions with unlike denominators using objects 3. Subtract fractions with unlike denominators using objects
Lesson 7.2:  Common Fractions: Subtracting (Related Denominators)
1. Subtract fractions with unlike denominators using models 2. Represent subtraction of fractions with unlike denominators using objects 3. Subtract fractions with unlike denominators using objects
Lesson 7.3:  Common Fractions: Subtracting (Unrelated Denominators)		1. Estimate differences of fractions using benchmarks 2. Subtract fractions with unlike denominators
Lesson 7.3:  Common Fractions: Subtracting (Unrelated Denominators)
1. Estimate differences of fractions using benchmarks 2. Subtract fractions with unlike denominators
Lesson 7.4:  Common Fractions: Subtracting Mixed Numbers (Related Denominators)		1. Estimate sums and differences of mixed numbers
Lesson 7.4:  Common Fractions: Subtracting Mixed Numbers (Related Denominators)
1. Estimate sums and differences of mixed numbers
Lesson 7.5:  Common Fractions: Subtracting Mixed Numbers (Unrelated Denominators)		1. Subtract mixed numbers with unlike denominators: without renaming
Lesson 7.5:  Common Fractions: Subtracting Mixed Numbers (Unrelated Denominators)
1. Subtract mixed numbers with unlike denominators: without renaming
Lesson 7.6:  Common Fractions: Subtracting Mixed Numbers with Unrelated Denominators (Decomposing Whole Numbers)		1. Subtract mixed numbers with unlike denominators: with renaming
Lesson 7.6:  Common Fractions: Subtracting Mixed Numbers with Unrelated Denominators (Decomposing Whole Numbers)
1. Subtract mixed numbers with unlike denominators: with renaming
Lesson 7.7:  Common Fractions: Reinforcing Subtraction Strategies (Related and Unrelated Denominators)		1. Add and subtract mixed numbers with unlike denominators
Lesson 7.7:  Common Fractions: Reinforcing Subtraction Strategies (Related and Unrelated Denominators)
1. Add and subtract mixed numbers with unlike denominators
Lesson 7.8:  Common Fractions: Solving Word Problems Involving Mixed Numbers		1. Add and subtract mixed numbers with unlike denominators: word problems
Lesson 7.8:  Common Fractions: Solving Word Problems Involving Mixed Numbers
1. Add and subtract mixed numbers with unlike denominators: word problems
Lesson 7.9:  Number: Building a Picture of One Billion and Beyond		1. Place value: up to billions
Lesson 7.9:  Number: Building a Picture of One Billion and Beyond
1. Place value: up to billions
Lesson 7.10:  Number: Working with Exponents		1. Understanding powers of ten 2. Evaluate powers of ten
Lesson 7.10:  Number: Working with Exponents
1. Understanding powers of ten 2. Evaluate powers of ten
Lesson 7.11:  Number: Exploring Place-Value Patterns		1. Multiplication patterns over increasing place values
Lesson 7.11:  Number: Exploring Place-Value Patterns
1. Multiplication patterns over increasing place values
Lesson 7.12:  Number: Representing Whole Numbers Using Exponents		1. Multiply a whole number by a power of ten
Lesson 7.12:  Number: Representing Whole Numbers Using Exponents
1. Multiply a whole number by a power of ten

8	Module 8
Lesson 8.1:  Common Fractions: Reviewing Multiplication by Whole Numbers		1. Multiply fractions by whole numbers using number lines 2. Multiply fractions by whole numbers: choose the model Also consider: • Multiply fractions by whole numbers using models: complete the equation
Lesson 8.1:  Common Fractions: Reviewing Multiplication by Whole Numbers
1. Multiply fractions by whole numbers using number lines 2. Multiply fractions by whole numbers: choose the model Also consider: • Multiply fractions by whole numbers using models: complete the equation
Lesson 8.2:  Common Fractions: Relating Unit Fractions to Division		1. Unit fractions of a number: whole number answers
Lesson 8.2:  Common Fractions: Relating Unit Fractions to Division
1. Unit fractions of a number: whole number answers
Lesson 8.3:  Common Fractions: Finding a Fraction of a Whole Number (Unit Fractions)		1. Multiply unit fractions by whole numbers using number lines 2. Multiply unit fractions by whole numbers using models 3. Unit fractions of a number Also consider: • Unit fractions of a number: word problems
Lesson 8.3:  Common Fractions: Finding a Fraction of a Whole Number (Unit Fractions)
1. Multiply unit fractions by whole numbers using number lines 2. Multiply unit fractions by whole numbers using models 3. Unit fractions of a number Also consider: • Unit fractions of a number: word problems
Lesson 8.4:  Common Fractions: Finding a Fraction of a Whole Pictorially (Non-Unit Fractions)		1. Find fractions of a whole number using arrays
Lesson 8.4:  Common Fractions: Finding a Fraction of a Whole Pictorially (Non-Unit Fractions)
1. Find fractions of a whole number using arrays
Lesson 8.5:  Common Fractions: Finding a Fraction of a Whole Number Symbolically (Non-Unit Fractions)		1. Multiply fractions and whole numbers 2. Multiply fractions by whole numbers: input/output tables
Lesson 8.5:  Common Fractions: Finding a Fraction of a Whole Number Symbolically (Non-Unit Fractions)
1. Multiply fractions and whole numbers 2. Multiply fractions by whole numbers: input/output tables
Lesson 8.6:  Common Fractions: Solving Word Problems Involving Multiplying with Whole Numbers		1. Multiply fractions and whole numbers: word problems
Lesson 8.6:  Common Fractions: Solving Word Problems Involving Multiplying with Whole Numbers
1. Multiply fractions and whole numbers: word problems
Lesson 8.7:  Common Fractions: Multiplying Two Common Fractions Pictorially		1. Multiply two unit fractions using models 2. Multiply two fractions using models Also consider: • Understand fraction multiplication and area • Multiply fractions to find area
Lesson 8.7:  Common Fractions: Multiplying Two Common Fractions Pictorially
1. Multiply two unit fractions using models 2. Multiply two fractions using models Also consider: • Understand fraction multiplication and area • Multiply fractions to find area
Lesson 8.8:  Common Fractions: Multiplying Two Common Fractions Symbolically		1. Multiply two fractions 2. Complete the fraction multiplication sentence I Also consider: • Area of rectangles with fractions
Lesson 8.8:  Common Fractions: Multiplying Two Common Fractions Symbolically
1. Multiply two fractions 2. Complete the fraction multiplication sentence I Also consider: • Area of rectangles with fractions
Lesson 8.9:  Common Fractions: Multiplying Whole Numbers and Mixed Numbers		1. Multiply a mixed number by a whole number using a model I 2. Multiply a mixed number by a whole number using a model II 3. Multiply a mixed number by a whole number
Lesson 8.9:  Common Fractions: Multiplying Whole Numbers and Mixed Numbers
1. Multiply a mixed number by a whole number using a model I 2. Multiply a mixed number by a whole number using a model II 3. Multiply a mixed number by a whole number
Lesson 8.10:  Common Fractions: Multiplying Common Fractions and Mixed numbers		1. Convert between improper fractions and mixed numbers 2. Multiply a mixed number by a fraction 3. Multiply fractions and mixed numbers in recipes
Lesson 8.10:  Common Fractions: Multiplying Common Fractions and Mixed numbers
1. Convert between improper fractions and mixed numbers 2. Multiply a mixed number by a fraction 3. Multiply fractions and mixed numbers in recipes
Lesson 8.11:  Common Fractions: Exploring Multiplication by Fractions Less Than, Equal to, or Greater Than One		1. Multiply fractions and whole numbers: sorting
Lesson 8.11:  Common Fractions: Exploring Multiplication by Fractions Less Than, Equal to, or Greater Than One
1. Multiply fractions and whole numbers: sorting
Lesson 8.12:  Common Fractions: Solving Word Problems		1. Multiply two fractions: word problems 2. Multiplication with mixed numbers: word problems
Lesson 8.12:  Common Fractions: Solving Word Problems
1. Multiply two fractions: word problems 2. Multiplication with mixed numbers: word problems

9	Module 9
Lesson 9.1:  Common Fractions: Relating Fractions to Division		1. Relate division and fractions 2. Understand fractions as division: word problems Also consider: • Fractions of a whole: word problems • Fractions of a group: word problems
Lesson 9.1:  Common Fractions: Relating Fractions to Division
1. Relate division and fractions 2. Understand fractions as division: word problems Also consider: • Fractions of a whole: word problems • Fractions of a group: word problems
Lesson 9.2:  Common Fractions: Dividing a Whole Number by a Unit Fraction Pictorially		1. Divide whole numbers by unit fractions using models 2. Divide whole numbers by unit fractions using area models
Lesson 9.2:  Common Fractions: Dividing a Whole Number by a Unit Fraction Pictorially
1. Divide whole numbers by unit fractions using models 2. Divide whole numbers by unit fractions using area models
Lesson 9.3:  Common Fractions: Dividing a Whole Number by a Unit Fraction Using Multiplication		1. Divide whole numbers by unit fractions
Lesson 9.3:  Common Fractions: Dividing a Whole Number by a Unit Fraction Using Multiplication
1. Divide whole numbers by unit fractions
Lesson 9.4:  Common Fractions: Solving Word Problems Involving Multiplication or Division with a Unit Fraction		1. Divide whole numbers by unit fractions: word problems
Lesson 9.4:  Common Fractions: Solving Word Problems Involving Multiplication or Division with a Unit Fraction
1. Divide whole numbers by unit fractions: word problems
Lesson 9.5:  Common Fractions: Dividing a Unit Fraction by a Whole Number Pictorially		1. Divide unit fractions by whole numbers using models 2. Divide unit fractions by whole numbers using area models
Lesson 9.5:  Common Fractions: Dividing a Unit Fraction by a Whole Number Pictorially
1. Divide unit fractions by whole numbers using models 2. Divide unit fractions by whole numbers using area models
Lesson 9.6:  Common Fractions: Dividing a Unit Fraction by a Whole Number Using Multiplication		1. Divide unit fractions by whole numbers
Lesson 9.6:  Common Fractions: Dividing a Unit Fraction by a Whole Number Using Multiplication
1. Divide unit fractions by whole numbers
Lesson 9.7:  Common Fractions: Solving Word Problems Involving Unit Fractions		1. Divide unit fractions and whole numbers: word problems
Lesson 9.7:  Common Fractions: Solving Word Problems Involving Unit Fractions
1. Divide unit fractions and whole numbers: word problems
Lesson 9.8:  Length: Converting Metric Units		1. Convert metric units of length involving decimals Also consider: • Compare and convert metric units of length
Lesson 9.8:  Length: Converting Metric Units
1. Convert metric units of length involving decimals Also consider: • Compare and convert metric units of length
Lesson 9.9:  Mass: Converting Metric Units		1. Convert metric units of weight involving decimals Also consider: • Compare and convert metric units of mass
Lesson 9.9:  Mass: Converting Metric Units
1. Convert metric units of weight involving decimals Also consider: • Compare and convert metric units of mass
Lesson 9.10:  Capacity: Converting Metric Units		1. Convert metric units of volume involving decimals Also consider: • Compare and convert metric units of volume • Conversion tables - metric units
Lesson 9.10:  Capacity: Converting Metric Units
1. Convert metric units of volume involving decimals Also consider: • Compare and convert metric units of volume • Conversion tables - metric units
Lesson 9.11:  Length/Mass/Capacity: Solving Word Problems (Metric Units)		1. Multi-step problems with metric unit conversions Also consider: • Multi-step problems with customary or metric unit conversions
Lesson 9.11:  Length/Mass/Capacity: Solving Word Problems (Metric Units)
1. Multi-step problems with metric unit conversions Also consider: • Multi-step problems with customary or metric unit conversions
Lesson 9.12:  Mass: Interpreting a Line Plot to Solve Problems		1. Create and interpret line plots with fractions
Lesson 9.12:  Mass: Interpreting a Line Plot to Solve Problems
1. Create and interpret line plots with fractions

10	Module 10
Lesson 10.1:  Decimal Fractions: Multiplying by a Whole Number		1. Multiply a decimal by a one-digit whole number using blocks
Lesson 10.1:  Decimal Fractions: Multiplying by a Whole Number
1. Multiply a decimal by a one-digit whole number using blocks
Lesson 10.2:  Decimal Fractions: Reinforcing Strategies for Multiplying by a Whole Number		1. Multiply a decimal by a one-digit whole number using the distributive property 2. Multiply a decimal by a one-digit whole number
Lesson 10.2:  Decimal Fractions: Reinforcing Strategies for Multiplying by a Whole Number
1. Multiply a decimal by a one-digit whole number using the distributive property 2. Multiply a decimal by a one-digit whole number
Lesson 10.3:  Decimal Fractions: Multiplying Tenths by Tenths		1. Multiply decimals less than one using grids 2. Multiply decimals using grids 3. Multiply two decimals: products up to hundredths Also consider: • Multiply two decimals: where does the decimal point go?
Lesson 10.3:  Decimal Fractions: Multiplying Tenths by Tenths
1. Multiply decimals less than one using grids 2. Multiply decimals using grids 3. Multiply two decimals: products up to hundredths Also consider: • Multiply two decimals: where does the decimal point go?
Lesson 10.4:  Decimal Fractions: Multiplying with Whole Numbers Using Partial Products		1. Multiply decimals and whole numbers: word problems Also consider: • Multiply a decimal by a two-digit whole number using area models
Lesson 10.4:  Decimal Fractions: Multiplying with Whole Numbers Using Partial Products
1. Multiply decimals and whole numbers: word problems Also consider: • Multiply a decimal by a two-digit whole number using area models
Lesson 10.5:  Decimal Fractions: Multiplying Two Decimal Fractions Using Partial Products		1. Multiply two decimals: products up to thousandths Also consider: • Multiply by 0.1 or 0.01
Lesson 10.5:  Decimal Fractions: Multiplying Two Decimal Fractions Using Partial Products
1. Multiply two decimals: products up to thousandths Also consider: • Multiply by 0.1 or 0.01
Lesson 10.6:  Decimal Fractions: Dividing Whole Numbers by Decimal Fractions		1. Divide one-digit whole numbers by decimals
Lesson 10.6:  Decimal Fractions: Dividing Whole Numbers by Decimal Fractions
1. Divide one-digit whole numbers by decimals
Lesson 10.7:  Decimal Fractions: Dividing Decimal Fractions by Whole Numbers		1. Divide decimals using blocks: complete the equation 2. Divide decimals by one-digit whole numbers without adding zeros Also consider: • Divide decimals using area models: complete the equation
Lesson 10.7:  Decimal Fractions: Dividing Decimal Fractions by Whole Numbers
1. Divide decimals using blocks: complete the equation 2. Divide decimals by one-digit whole numbers without adding zeros Also consider: • Divide decimals using area models: complete the equation
Lesson 10.8:  Decimal Fractions: Dividing Decimal Fractions by Decimal Fractions		1. Divide decimals by decimals: whole number quotients
Lesson 10.8:  Decimal Fractions: Dividing Decimal Fractions by Decimal Fractions
1. Divide decimals by decimals: whole number quotients
Lesson 10.9:  Decimal Fractions: Reinforcing the Think-Multiplication Strategy to Divide		1. Divide decimals by one-digit whole numbers: word problems
Lesson 10.9:  Decimal Fractions: Reinforcing the Think-Multiplication Strategy to Divide
1. Divide decimals by one-digit whole numbers: word problems
Lesson 10.10:  Decimal Fractions: Adjusting the Divisor		1. Decimal division patterns over increasing place values
Lesson 10.10:  Decimal Fractions: Adjusting the Divisor
1. Decimal division patterns over increasing place values
Lesson 10.11:  Decimal Fractions: Adjusting the Dividend and Divisor		1. Divide by decimals
Lesson 10.11:  Decimal Fractions: Adjusting the Dividend and Divisor
1. Divide by decimals
Lesson 10.12:  Decimal Fractions: Solving Multiplication and Division Word Problems		1. Decimal multiplication: compare products up to hundredths Also consider: • Multiply and divide decimals: word problems • Multiply and divide decimal money amounts: word problems
Lesson 10.12:  Decimal Fractions: Solving Multiplication and Division Word Problems
1. Decimal multiplication: compare products up to hundredths Also consider: • Multiply and divide decimals: word problems • Multiply and divide decimal money amounts: word problems

11	Module 11
Lesson 11.1:  Algebra: Reviewing Number Patterns		1. Use a rule to complete a number pattern 2. Complete an increasing number pattern 3. Number patterns: word problems
Lesson 11.1:  Algebra: Reviewing Number Patterns
1. Use a rule to complete a number pattern 2. Complete an increasing number pattern 3. Number patterns: word problems
Lesson 11.2:  Algebra: Examining Relationships between Two Numerical Patterns		1. Compare patterns
Lesson 11.2:  Algebra: Examining Relationships between Two Numerical Patterns
1. Compare patterns
Lesson 11.3:  Algebra: Introducing the Coordinate Plane		1. Describe the coordinate plane 2. Objects on a coordinate plane 3. Graph points on a coordinate plane Also consider: • Coordinate planes as maps • Follow directions on a coordinate plane
Lesson 11.3:  Algebra: Introducing the Coordinate Plane
1. Describe the coordinate plane 2. Objects on a coordinate plane 3. Graph points on a coordinate plane Also consider: • Coordinate planes as maps • Follow directions on a coordinate plane
Lesson 11.4:  Algebra: Relating Tables to Ordered Pairs		1. Graph points from a table
Lesson 11.4:  Algebra: Relating Tables to Ordered Pairs
1. Graph points from a table
Lesson 11.5:  Algebra: Representing Patterns on Coordinate Grids		1. Use a rule to complete a table and a graph
Lesson 11.5:  Algebra: Representing Patterns on Coordinate Grids
1. Use a rule to complete a table and a graph
Lesson 11.6:  Algebra: Interpreting Coordinate Grids		1. Analyze graphed relationships
Lesson 11.6:  Algebra: Interpreting Coordinate Grids
1. Analyze graphed relationships
Lesson 11.7:  Multiplication: Using the Double-and-Halve Strategy to Multiply Dollars and Cents		1. Multiply money amounts
Lesson 11.7:  Multiplication: Using the Double-and-Halve Strategy to Multiply Dollars and Cents
1. Multiply money amounts
Lesson 11.8:  Multiplication: Using a Nearby Number to Multiply Dollars and Cents		1. Multiply money amounts: word problems
Lesson 11.8:  Multiplication: Using a Nearby Number to Multiply Dollars and Cents
1. Multiply money amounts: word problems
Lesson 11.9:  Multiplication: Reinforcing Strategies to Multiply Dollars and Cents		1. Multiply money amounts: two-step word problems
Lesson 11.9:  Multiplication: Reinforcing Strategies to Multiply Dollars and Cents
1. Multiply money amounts: two-step word problems
Lesson 11.10:  Perimeter: Solving Word Problems		1. Perimeter with whole number side lengths 2. Perimeter with decimal side lengths Also consider: • Perimeter with fractional side lengths
Lesson 11.10:  Perimeter: Solving Word Problems
1. Perimeter with whole number side lengths 2. Perimeter with decimal side lengths Also consider: • Perimeter with fractional side lengths
Lesson 11.11:  Area: Solving Word Problems		1. Area of squares and rectangles 2. Area and perimeter: word problems Also consider: • Area of rectangles with fractions and mixed numbers
Lesson 11.11:  Area: Solving Word Problems
1. Area of squares and rectangles 2. Area and perimeter: word problems Also consider: • Area of rectangles with fractions and mixed numbers
Lesson 11.12:  Volume: Solving Word Problems		1. Volume of cubes and rectangular prisms with decimal side lengths 2. Area, perimeter, and volume: word problems
Lesson 11.12:  Volume: Solving Word Problems
1. Volume of cubes and rectangular prisms with decimal side lengths 2. Area, perimeter, and volume: word problems

12	Module 12
Lesson 12.1:  Division: Recording Steps (Three- and Four-Digit Dividends)		1. Divide by 2-digit numbers using models
Lesson 12.1:  Division: Recording Steps (Three- and Four-Digit Dividends)
1. Divide by 2-digit numbers using models
Lesson 12.2:  Division: Developing the Standard Algorithm		1. Divide 2-digit by 1-digit numbers using the distributive property 2. Divide using repeated subtraction
Lesson 12.2:  Division: Developing the Standard Algorithm
1. Divide 2-digit by 1-digit numbers using the distributive property 2. Divide using repeated subtraction
Lesson 12.3:  Division: Introducing the Standard Algorithm		1. Division facts to 12 2. Division facts to 12: word problems
Lesson 12.3:  Division: Introducing the Standard Algorithm
1. Division facts to 12 2. Division facts to 12: word problems
Lesson 12.4:  Division: Working with the Standard Algorithm		1. Divide multi-digit numbers by 1-digit numbers with zeros in the quotient: word problems
Lesson 12.4:  Division: Working with the Standard Algorithm
1. Divide multi-digit numbers by 1-digit numbers with zeros in the quotient: word problems
Lesson 12.5:  Division: Working with the Standard Algorithm (with Remainders)		1. Divide 4-digit numbers by 1-digit numbers
Lesson 12.5:  Division: Working with the Standard Algorithm (with Remainders)
1. Divide 4-digit numbers by 1-digit numbers
Lesson 12.6:  Division: Investigating Methods to Divide by a Two-Digit Multiple of Ten		1. Divide numbers ending in zeros by multiples of ten 2. Adjust quotients
Lesson 12.6:  Division: Investigating Methods to Divide by a Two-Digit Multiple of Ten
1. Divide numbers ending in zeros by multiples of ten 2. Adjust quotients
Lesson 12.7:  Division: Working with Four-Digit Dividends and Two-Digit Divisors		1. Divide 4-digit numbers by 2-digit numbers
Lesson 12.7:  Division: Working with Four-Digit Dividends and Two-Digit Divisors
1. Divide 4-digit numbers by 2-digit numbers
Lesson 12.8:  Division: Solving Word Problems (One- and Two-Digit Divisors)		1. Divide multi-digit numbers by 1-digit numbers: word problems 2. Divide by 2-digit numbers: word problems
Lesson 12.8:  Division: Solving Word Problems (One- and Two-Digit Divisors)
1. Divide multi-digit numbers by 1-digit numbers: word problems 2. Divide by 2-digit numbers: word problems
Lesson 12.9:  Division: Making Estimates to Solve Problems		1. Estimate quotients: word problems
Lesson 12.9:  Division: Making Estimates to Solve Problems
1. Estimate quotients: word problems
Lesson 12.10:  Division: Partitioning Dollar-and-Cent Amounts		1. Divide money amounts
Lesson 12.10:  Division: Partitioning Dollar-and-Cent Amounts
1. Divide money amounts
Lesson 12.11:  Division: Extending Partitioning Strategies to Divide Dollar-and-Cent Amounts		1. Divide money amounts: word problems
Lesson 12.11:  Division: Extending Partitioning Strategies to Divide Dollar-and-Cent Amounts
1. Divide money amounts: word problems
Lesson 12.12:  Division: Calculating Unit Costs to Determine Best Buys (Dollars and Cents)		1. Unit prices
Lesson 12.12:  Division: Calculating Unit Costs to Determine Best Buys (Dollars and Cents)
1. Unit prices

This document includes the IXL® skill alignments to ORIGO Education's ORIGO Stepping Stones 2.0 curriculum. IXL provides skill alignments as a service to teachers, students, and parents. The skill alignments are provided by IXL and are not affiliated with, sponsored by, reviewed, approved or endorsed by ORIGO Education or any other third party. IXL® and IXL Learning® are registered trademarks of IXL Learning, Inc. All other intellectual property rights (e.g., unregistered and registered trademarks and copyrights) are the property of their respective owners.