1	Unit 1 Arrays, Factors, and Multiplicative Comparison
Investigation 1 - Representing Multiplication with Arrays
Session 1.1:  Things That Come in Arrays		1. Write multiplication sentences for arrays
Session 1.1:  Things That Come in Arrays
1. Write multiplication sentences for arrays
Session 1.2:  Making Arrays		1. Make arrays for given products
Session 1.2:  Making Arrays
1. Make arrays for given products
Session 1.3:  Making Arrays, continued		1. Square numbers Also consider: • Which number is prime or composite?
Session 1.3:  Making Arrays, continued
1. Square numbers Also consider: • Which number is prime or composite?
Session 1.4:  Factor Pairs		1. Multiplication facts to 10 2. Multiplication facts to 10: find the missing factor Also consider: • Multiplication topics: mixed review
Session 1.4:  Factor Pairs
1. Multiplication facts to 10 2. Multiplication facts to 10: find the missing factor Also consider: • Multiplication topics: mixed review
Session 1.5:  Multiplicative Comparison		1. Comparison word problems: addition or multiplication? Also consider: • Compare numbers using multiplication
Session 1.5:  Multiplicative Comparison
1. Comparison word problems: addition or multiplication? Also consider: • Compare numbers using multiplication
Session 1.6:  Prime or Composite		1. Prime and composite: up to 100
Session 1.6:  Prime or Composite
1. Prime and composite: up to 100
Session 1.7:  Multiple Turn Over		1. Choose the multiples of a given number up to 10
Session 1.7:  Multiple Turn Over
1. Choose the multiples of a given number up to 10
Session 1.8:  Comparison and Prime Numbers		1. Compare numbers using multiplication: word problems
Session 1.8:  Comparison and Prime Numbers
1. Compare numbers using multiplication: word problems
Investigation 2 - Finding Factors
Session 2.1:  Factors of 100		1. Multiplication facts to 12 2. Choose the multiples of a given number up to 12
Session 2.1:  Factors of 100
1. Multiplication facts to 12 2. Choose the multiples of a given number up to 12
Session 2.2:  Factors of Multiples of 100
Session 2.2:  Factors of Multiples of 100
Session 2.3:  Factors of Related Numbers		1. Identify factors
Session 2.3:  Factors of Related Numbers
1. Identify factors
Session 2.4:  Factors of 36		1. Find all the factor pairs of a number
Session 2.4:  Factors of 36
1. Find all the factor pairs of a number

2	Unit 2 Generating and Representing Measurement Data
Investigation 1 - Modeling with Data
Session 1.1:  How Many Raisins in a Box?		1. Interpret line plots
Session 1.1:  How Many Raisins in a Box?
1. Interpret line plots
Session 1.2:  How Tall Are Fourth Graders?		1. Complete line plots with whole numbers Also consider: • Identify the outlier
Session 1.2:  How Tall Are Fourth Graders?
1. Complete line plots with whole numbers Also consider: • Identify the outlier
Session 1.3:  How Tall Are First Graders?		1. Create line plots with whole numbers
Session 1.3:  How Tall Are First Graders?
1. Create line plots with whole numbers
Session 1.4:  Representing the Heights of Fourth and First Graders		1. Create line plots with halves
Session 1.4:  Representing the Heights of Fourth and First Graders
1. Create line plots with halves
Session 1.5:  Representing and Comparing Data
Session 1.5:  Representing and Comparing Data
Investigation 2 - Using Data to Compare
Session 2.1:  What Do We Want to Find Out?
Session 2.1:  What Do We Want to Find Out?
Session 2.2:  Collecting and Comparing Data		1. Create and interpret line plots with halves
Session 2.2:  Collecting and Comparing Data
1. Create and interpret line plots with halves
Session 2.3:  Representing Survey Data
Session 2.3:  Representing Survey Data
Session 2.4:  What Can You Learn from Your Data?		1. Interpret line plots to find the range
Session 2.4:  What Can You Learn from Your Data?
1. Interpret line plots to find the range
Session 2.5:  Mystery Data
Session 2.5:  Mystery Data
Session 2.6:  Representing and Interpreting Data
Session 2.6:  Representing and Interpreting Data

3	Unit 3 Multiple Towers and Cluster Problems
Investigation 1 - Breaking Apart Multiplication Problems
Session 1.1:  Solving Multiplication Problems
Session 1.1:  Solving Multiplication Problems
Session 1.2:  Making Big Arrays		1. Multiply one-digit numbers using grids
Session 1.2:  Making Big Arrays
1. Multiply one-digit numbers using grids
Session 1.3:  Small Array/Big Array		1. Use the distributive property to multiply: facts to 10
Session 1.3:  Small Array/Big Array
1. Use the distributive property to multiply: facts to 10
Session 1.4:  Breaking Up Arrays		1. Multiply 1-digit numbers by 2-digit numbers using area models Also consider: • Multiply 1-digit numbers by 2-digit numbers: choose the area model
Session 1.4:  Breaking Up Arrays
1. Multiply 1-digit numbers by 2-digit numbers using area models Also consider: • Multiply 1-digit numbers by 2-digit numbers: choose the area model
Session 1.5:  Solving 18 × 7		1. Multiply 1-digit numbers by teen numbers using grids 2. Multiply 1-digit numbers by 2-digit numbers
Session 1.5:  Solving 18 × 7
1. Multiply 1-digit numbers by teen numbers using grids 2. Multiply 1-digit numbers by 2-digit numbers
Investigation 2 - Solving Division Problems
Session 2.1:  Looking at Division		1. Divide 2-digit numbers by 1-digit numbers: word problems without remainders
Session 2.1:  Looking at Division
1. Divide 2-digit numbers by 1-digit numbers: word problems without remainders
Session 2.2:  Division with Remainders		1. Divide 2-digit numbers by 1-digit numbers
Session 2.2:  Division with Remainders
1. Divide 2-digit numbers by 1-digit numbers
Session 2.3:  Division Stories		1. Divide 2-digit numbers by 1-digit numbers: interpret remainders
Session 2.3:  Division Stories
1. Divide 2-digit numbers by 1-digit numbers: interpret remainders
Session 2.4:  Strategies for Division		1. Division facts up to 12: find the missing number Also consider: • Area: find the missing side length
Session 2.4:  Strategies for Division
1. Division facts up to 12: find the missing number Also consider: • Area: find the missing side length
Session 2.5:  Related Multiplication and Division Problems		1. Multiplication word problems: find the missing factor 2. Relate multiplication and division for arrays
Session 2.5:  Related Multiplication and Division Problems
1. Multiplication word problems: find the missing factor 2. Relate multiplication and division for arrays
Session 2.6:  Writing and Solving a Division Problem		1. Relate multiplication and division: up to 100 2. Divide 2-digit numbers by 1-digit numbers: word problems
Session 2.6:  Writing and Solving a Division Problem
1. Relate multiplication and division: up to 100 2. Divide 2-digit numbers by 1-digit numbers: word problems
Investigation 3 - Strategies for Multiplication
Session 3.1:  Building Multiple Towers		1. Multiply by a multiple of ten using place value
Session 3.1:  Building Multiple Towers
1. Multiply by a multiple of ten using place value
Session 3.2:  Multiplying Groups of 10		1. Multiply a 1-digit number by a multiple of 10
Session 3.2:  Multiplying Groups of 10
1. Multiply a 1-digit number by a multiple of 10
Session 3.3:  Multiplying by Multiples of 10		1. Multiplication patterns: multiples of 10 and 100 Also consider: • Multiply numbers ending in zeros • Multiply numbers ending in zeros: word problems
Session 3.3:  Multiplying by Multiples of 10
1. Multiplication patterns: multiples of 10 and 100 Also consider: • Multiply numbers ending in zeros • Multiply numbers ending in zeros: word problems
Session 3.4:  Doubles and Halves
Session 3.4:  Doubles and Halves
Session 3.5:  Multiplication Cluster Problems
Session 3.5:  Multiplication Cluster Problems
Session 3.6:  Strategies for Multiplication		1. Multiply 1-digit numbers by 2-digit numbers using the distributive property
Session 3.6:  Strategies for Multiplication
1. Multiply 1-digit numbers by 2-digit numbers using the distributive property
Session 3.7:  Solving Multiplication and Division Problems		1. Multiplication and division word problems
Session 3.7:  Solving Multiplication and Division Problems
1. Multiplication and division word problems

4	Unit 4 Measuring and Classifying Shapes
Investigation 1 - Linear Measurement
Session 1.1:  Measurement Benchmarks		Customary units 1. Which customary unit of length is appropriate? 2. Measure using an inch ruler Metric units 3. Which metric unit of length is appropriate? 4. Measuring using a centimeter ruler
Session 1.1:  Measurement Benchmarks
Customary units 1. Which customary unit of length is appropriate? 2. Measure using an inch ruler Metric units 3. Which metric unit of length is appropriate? 4. Measuring using a centimeter ruler
Session 1.2:  Converting Measurements		1. Convert units of length
Session 1.2:  Converting Measurements
1. Convert units of length
Session 1.3:  Solving Measurement Problems		1. Find the perimeter of rectangles using formulas
Session 1.3:  Solving Measurement Problems
1. Find the perimeter of rectangles using formulas
Session 1.4:  Determining the Perimeter of Rectangles		1. Perimeter: word problems Also consider: • Perimeter: find the missing side length
Session 1.4:  Determining the Perimeter of Rectangles
1. Perimeter: word problems Also consider: • Perimeter: find the missing side length
Session 1.5:  Measuring Length and Determining Perimeters		1. Compare units of length Also consider: • Units of length: review
Session 1.5:  Measuring Length and Determining Perimeters
1. Compare units of length Also consider: • Units of length: review
Investigation 2 - Sorting and Classifying Polygons
Session 2.1:  Is It a Polygon?		1. Is it a polygon? 2. Points, lines, line segments, rays, and angles 3. Parallel, perpendicular, and intersecting lines 4. Identify parallel, perpendicular, and intersecting lines
Session 2.1:  Is It a Polygon?
1. Is it a polygon? 2. Points, lines, line segments, rays, and angles 3. Parallel, perpendicular, and intersecting lines 4. Identify parallel, perpendicular, and intersecting lines
Session 2.2:  Making Polygons		1. Number of sides in polygons Also consider: • Compose two-dimensional shapes
Session 2.2:  Making Polygons
1. Number of sides in polygons Also consider: • Compose two-dimensional shapes
Session 2.3:  Sorting Quadrilaterals		1. Classify quadrilaterals 2. Pick all the names for a quadrilateral 3. Parallel sides in quadrilaterals Also consider: • Identify parallelograms • Identify trapezoids • Identify rectangles • Identify rhombuses
Session 2.3:  Sorting Quadrilaterals
1. Classify quadrilaterals 2. Pick all the names for a quadrilateral 3. Parallel sides in quadrilaterals Also consider: • Identify parallelograms • Identify trapezoids • Identify rectangles • Identify rhombuses
Session 2.4:  Sorting Quadrilaterals and Triangles		1. Sides and angles of quadrilaterals
Session 2.4:  Sorting Quadrilaterals and Triangles
1. Sides and angles of quadrilaterals
Session 2.5:  Making Triangles and Quadrilaterals		1. Acute, right, and obtuse angles 2. Acute, obtuse, and right triangles 3. Draw quadrilaterals
Session 2.5:  Making Triangles and Quadrilaterals
1. Acute, right, and obtuse angles 2. Acute, obtuse, and right triangles 3. Draw quadrilaterals
Investigation 3 - Measuring Angles
Session 3.1:  Making Right Angles		1. Angles greater than, less than, or equal to a right angle 2. Square angles: find the missing measure
Session 3.1:  Making Right Angles
1. Angles greater than, less than, or equal to a right angle 2. Square angles: find the missing measure
Session 3.2:  Measuring and Building Angles		1. Estimate angle measurements
Session 3.2:  Measuring and Building Angles
1. Estimate angle measurements
Session 3.3:  Measuring Angles with a Protractor		1. Measure angles with a protractor Also consider: • Angles as fractions of a circle • Measure angles on a circle
Session 3.3:  Measuring Angles with a Protractor
1. Measure angles with a protractor Also consider: • Angles as fractions of a circle • Measure angles on a circle
Session 3.4:  More Measuring and Building Angles		1. Draw angles with a protractor Also consider: • Measuring angles: review
Session 3.4:  More Measuring and Building Angles
1. Draw angles with a protractor Also consider: • Measuring angles: review
Investigation 4 - Symmetry and Area
Session 4.1:  Mirror Symmetry		1. Identify lines of symmetry 2. Draw lines of symmetry 3. Count lines of symmetry
Session 4.1:  Mirror Symmetry
1. Identify lines of symmetry 2. Draw lines of symmetry 3. Count lines of symmetry
Session 4.2:  Symmetry and Area		1. Tile a rectangle and find the area
Session 4.2:  Symmetry and Area
1. Tile a rectangle and find the area
Session 4.3:  Finding Halves of Crazy Cakes		1. Make halves 2. Draw lines of symmetry in polygons Also consider: • Identify congruent figures
Session 4.3:  Finding Halves of Crazy Cakes
1. Make halves 2. Draw lines of symmetry in polygons Also consider: • Identify congruent figures
Session 4.4:  Area of Polygons		1. Area of figures on grids
Session 4.4:  Area of Polygons
1. Area of figures on grids
Session 4.5:  Area of Rectangles		1. Area of rectangles 2. Multiply to find the area of a rectangle made of unit squares
Session 4.5:  Area of Rectangles
1. Area of rectangles 2. Multiply to find the area of a rectangle made of unit squares
Session 4.6:  Area and Angles		1. Find the area or missing side length of a rectangle 2. Area: word problems 3. Measuring angles: review Also consider: • Area and perimeter: word problems
Session 4.6:  Area and Angles
1. Find the area or missing side length of a rectangle 2. Area: word problems 3. Measuring angles: review Also consider: • Area and perimeter: word problems

5	Unit 5 Large Numbers and Landmarks
Investigation 1 - Studying Addition
Session 1.1:  Solving Addition Problems		1. Use expanded form to add three-digit numbers Also consider: • Add two numbers up to three digits: word problems
Session 1.1:  Solving Addition Problems
1. Use expanded form to add three-digit numbers Also consider: • Add two numbers up to three digits: word problems
Session 1.2:  Addition Strategies		1. Add two numbers up to three digits 2. Add using compensation: up to 3 digits
Session 1.2:  Addition Strategies
1. Add two numbers up to three digits 2. Add using compensation: up to 3 digits
Session 1.3:  Starter Problems		1. Balance addition equations Also consider: • Estimate sums using compatible numbers
Session 1.3:  Starter Problems
1. Balance addition equations Also consider: • Estimate sums using compatible numbers
Session 1.4:  Studying the U.S. Standard Algorithm for Addition		1. Add two numbers up to four digits
Session 1.4:  Studying the U.S. Standard Algorithm for Addition
1. Add two numbers up to four digits
Session 1.5:  Close to 1,000		1. Choose numbers with a particular sum
Session 1.5:  Close to 1,000
1. Choose numbers with a particular sum
Session 1.6:  Solving an Addition Problem in Two Ways		1. Addition: fill in the missing digits
Session 1.6:  Solving an Addition Problem in Two Ways
1. Addition: fill in the missing digits
Investigation 2 - Studying Subtraction
Session 2.1:  Representing Subtraction Problems		1. Subtract two numbers up to three digits 2. Subtract two numbers up to three digits: word problems Also consider: • Add and subtract money amounts: word problems
Session 2.1:  Representing Subtraction Problems
1. Subtract two numbers up to three digits 2. Subtract two numbers up to three digits: word problems Also consider: • Add and subtract money amounts: word problems
Session 2.2:  Strategies for Subtraction		1. Subtract two numbers up to four digits
Session 2.2:  Strategies for Subtraction
1. Subtract two numbers up to four digits
Session 2.3:  How Did You Start?		1. Estimate differences: numbers up to three digits
Session 2.3:  How Did You Start?
1. Estimate differences: numbers up to three digits
Session 2.4:  Studying the U.S. Standard Algorithm for Subtraction		1. Subtract numbers up to three digits
Session 2.4:  Studying the U.S. Standard Algorithm for Subtraction
1. Subtract numbers up to three digits
Session 2.5:  Subtraction Starter Problems		1. Subtract two numbers Also consider: • Subtract using compensation: up to 3 digits • Estimate differences using compatible numbers
Session 2.5:  Subtraction Starter Problems
1. Subtract two numbers Also consider: • Subtract using compensation: up to 3 digits • Estimate differences using compatible numbers
Session 2.6:  Solving Subtraction Problems		1. Subtract two numbers up to four digits: word problems
Session 2.6:  Solving Subtraction Problems
1. Subtract two numbers up to four digits: word problems
Session 2.7:  Solving a Subtraction Problem		1. Subtraction: fill in the missing digits
Session 2.7:  Solving a Subtraction Problem
1. Subtraction: fill in the missing digits
Investigation 3 - Adding and Subtracting Large Numbers
Session 3.1:  Making a 10,000 Chart
Session 3.1:  Making a 10,000 Chart
Session 3.2:  How Much is 10,000?		1. Convert between place value: up to thousands Also consider: • Relationship between place values • Multiplication patterns over increasing place values
Session 3.2:  How Much is 10,000?
1. Convert between place value: up to thousands Also consider: • Relationship between place values • Multiplication patterns over increasing place values
Session 3.3:  Working with Numbers in the 10,000s		1. Place value review
Session 3.3:  Working with Numbers in the 10,000s
1. Place value review
Session 3.4:  Adding and Subtracting with 4- and 5-Digit Numbers (Part 1)		1. Addition and subtraction word problems: numbers up to five digits 2. Use equations to solve addition and subtraction word problems
Session 3.4:  Adding and Subtracting with 4- and 5-Digit Numbers (Part 1)
1. Addition and subtraction word problems: numbers up to five digits 2. Use equations to solve addition and subtraction word problems
Session 3.5:  Adding and Subtracting with 4- and 5-Digit Numbers (Part 2)		1. Add and subtract numbers up to five digits Also consider: • Rounding: up to hundred thousands place • Compare numbers up to one hundred thousand
Session 3.5:  Adding and Subtracting with 4- and 5-Digit Numbers (Part 2)
1. Add and subtract numbers up to five digits Also consider: • Rounding: up to hundred thousands place • Compare numbers up to one hundred thousand
Session 3.6:  Adding and Subtracting with 4- and 5-Digit Numbers (Part 3)		1. Add two multi-digit numbers: word problems 2. Subtract two multi-digit numbers: word problems
Session 3.6:  Adding and Subtracting with 4- and 5-Digit Numbers (Part 3)
1. Add two multi-digit numbers: word problems 2. Subtract two multi-digit numbers: word problems

6	Unit 6 Fraction Cards and Decimal Grids
Investigation 1 - Parts of Rectangles
Session 1.1:  Fractions of an Area: Halves, Fourths, and Eighths		1. Identify halves, thirds, and fourths
Session 1.1:  Fractions of an Area: Halves, Fourths, and Eighths
1. Identify halves, thirds, and fourths
Session 1.2:  Fractions of an Area: Thirds and Sixths		1. Fractions review
Session 1.2:  Fractions of an Area: Thirds and Sixths
1. Fractions review
Session 1.3:  Same Parts, Different Wholes		1. Find equivalent fractions using area models: one model
Session 1.3:  Same Parts, Different Wholes
1. Find equivalent fractions using area models: one model
Session 1.4:  Representing Decimals		1. What decimal number is illustrated?
Session 1.4:  Representing Decimals
1. What decimal number is illustrated?
Session 1.5:  Equivalent Fractions and Decimals		1. Model decimals and fractions
Session 1.5:  Equivalent Fractions and Decimals
1. Model decimals and fractions
Session 1.6:  Finding Equivalent Fractions and Identifying Decimals		1. Identify the equivalent fraction 2. Select all of the equivalent fractions
Session 1.6:  Finding Equivalent Fractions and Identifying Decimals
1. Identify the equivalent fraction 2. Select all of the equivalent fractions
Investigation 2 - Comparing Fractions and Decimals
Session 2.1:  Fraction Cards		1. Identify mixed numbers Also consider: • Convert between improper fractions and mixed numbers
Session 2.1:  Fraction Cards
1. Identify mixed numbers Also consider: • Convert between improper fractions and mixed numbers
Session 2.2:  Fraction Cards, continued
Session 2.2:  Fraction Cards, continued
Session 2.3:  Capture Fractions		1. Compare fractions using models
Session 2.3:  Capture Fractions
1. Compare fractions using models
Session 2.4:  Comparing Fractions to Landmarks		1. Compare fractions using benchmarks Also consider: • Benchmark fractions • Compare fractions using benchmarks: find the missing numerator
Session 2.4:  Comparing Fractions to Landmarks
1. Compare fractions using benchmarks Also consider: • Benchmark fractions • Compare fractions using benchmarks: find the missing numerator
Session 2.5:  Fractions on a Number Line		1. Graph and order fractions on number lines Also consider: • Order fractions with like numerators or denominators • Order fractions
Session 2.5:  Fractions on a Number Line
1. Graph and order fractions on number lines Also consider: • Order fractions with like numerators or denominators • Order fractions
Session 2.6:  Comparing Fractions		1. Compare fractions
Session 2.6:  Comparing Fractions
1. Compare fractions
Session 2.7:  Decimals on the Number Line		1. Decimal number lines 2. Compare decimals on number lines Also consider: • Graph fractions as decimals on number lines • Compare decimals using models
Session 2.7:  Decimals on the Number Line
1. Decimal number lines 2. Compare decimals on number lines Also consider: • Graph fractions as decimals on number lines • Compare decimals using models
Session 2.8:  Equivalent Fractions and Comparing Decimals		1. Graph decimals on number lines 2. Compare decimal numbers 3. Identify equivalent fractions using number lines Also consider: • Graph equivalent fractions on number lines • Equivalent fractions: find the missing numerator or denominator • Compare fractions or decimals: review
Session 2.8:  Equivalent Fractions and Comparing Decimals
1. Graph decimals on number lines 2. Compare decimal numbers 3. Identify equivalent fractions using number lines Also consider: • Graph equivalent fractions on number lines • Equivalent fractions: find the missing numerator or denominator • Compare fractions or decimals: review
Investigation 3 - Adding and Subtracting Fractions and Decimals
Session 3.1:  Decomposing and Adding Fractions		1. Decompose fractions into unit fractions 2. Decompose fractions 3. Decompose fractions multiple ways 4. Add fractions with like denominators Also consider: • Decompose fractions into unit fractions using models • Add fractions with like denominators using area models • Add fractions with like denominators using strip models • Add fractions with like denominators using number lines
Session 3.1:  Decomposing and Adding Fractions
1. Decompose fractions into unit fractions 2. Decompose fractions 3. Decompose fractions multiple ways 4. Add fractions with like denominators Also consider: • Decompose fractions into unit fractions using models • Add fractions with like denominators using area models • Add fractions with like denominators using strip models • Add fractions with like denominators using number lines
Session 3.2:  Subtracting Fractions		1. Subtract fractions with like denominators Also consider: • Subtract fractions with like denominators using area models • Subtract fractions with like denominators using strip models • Subtract fractions with like denominators using number lines • Add and subtract fractions with like denominators • Add and subtract fractions with like denominators: word problems
Session 3.2:  Subtracting Fractions
1. Subtract fractions with like denominators Also consider: • Subtract fractions with like denominators using area models • Subtract fractions with like denominators using strip models • Subtract fractions with like denominators using number lines • Add and subtract fractions with like denominators • Add and subtract fractions with like denominators: word problems
Session 3.3:  Adding and Subtracting Mixed Numbers		1. Add and subtract mixed numbers with like denominators I 2. Add and subtract mixed numbers with like denominators: word problems Also consider: • Create and interpret line plots with fractions
Session 3.3:  Adding and Subtracting Mixed Numbers
1. Add and subtract mixed numbers with like denominators I 2. Add and subtract mixed numbers with like denominators: word problems Also consider: • Create and interpret line plots with fractions
Session 3.4:  Adding and Subtracting Fractions and Mixed Numbers		1. Add and subtract mixed numbers with like denominators 2. Add and subtract fractions and mixed numbers with like denominators: word problems Also consider: • Add mixed numbers with like denominators • Subtract mixed numbers with like denominators
Session 3.4:  Adding and Subtracting Fractions and Mixed Numbers
1. Add and subtract mixed numbers with like denominators 2. Add and subtract fractions and mixed numbers with like denominators: word problems Also consider: • Add mixed numbers with like denominators • Subtract mixed numbers with like denominators
Session 3.5:  Adding Tenths and Hundredths		1. Fractions with denominators of 10 and 100 2. Add decimals or fractions: tenths and hundredths
Session 3.5:  Adding Tenths and Hundredths
1. Fractions with denominators of 10 and 100 2. Add decimals or fractions: tenths and hundredths
Session 3.6:  More Adding Tenths and Hundredths		1. Add decimals 2. Compare decimals and fractions on number lines Also consider: • Add fractions: denominators 10 and 100 • Identify fraction expressions with a particular sum: denominators of 10 and 100 • Add decimals using blocks
Session 3.6:  More Adding Tenths and Hundredths
1. Add decimals 2. Compare decimals and fractions on number lines Also consider: • Add fractions: denominators 10 and 100 • Identify fraction expressions with a particular sum: denominators of 10 and 100 • Add decimals using blocks
Investigation 4 - Computation with Rational Numbers
Session 4.1:  Multiplying a Fraction by a Whole Number		1. Multiply fractions by whole numbers 2. Multiply unit fractions by whole numbers: word problems Also consider: • Multiply fractions by whole numbers using number lines • Multiply fractions by whole numbers using models
Session 4.1:  Multiplying a Fraction by a Whole Number
1. Multiply fractions by whole numbers 2. Multiply unit fractions by whole numbers: word problems Also consider: • Multiply fractions by whole numbers using number lines • Multiply fractions by whole numbers using models
Session 4.2:  Computation with Fractions		1. Multiply fractions by whole numbers: word problems
Session 4.2:  Computation with Fractions
1. Multiply fractions by whole numbers: word problems
Session 4.3:  Computation with Fractions, continued		1. Multiply fractions by whole numbers in recipes
Session 4.3:  Computation with Fractions, continued
1. Multiply fractions by whole numbers in recipes
Session 4.4:  Multiplying, Adding, and Subtracting Fractions		1. Add, subtract, and multiply fractions: word problems
Session 4.4:  Multiplying, Adding, and Subtracting Fractions
1. Add, subtract, and multiply fractions: word problems

7	Unit 7 How Many Packages and Groups?
Investigation 1 - Multiplication with 2-Digit Numbers
Session 1.1:  Measurement Equivalents		Customary Units 1. Convert measurement units Metric Units 2. Convert and compare milliliters and liters 3. Convert and compare kilograms and grams
Session 1.1:  Measurement Equivalents
Customary Units 1. Convert measurement units Metric Units 2. Convert and compare milliliters and liters 3. Convert and compare kilograms and grams
Session 1.2:  Measurement Problems		1. Measurement word problems
Session 1.2:  Measurement Problems
1. Measurement word problems
Session 1.3:  Making Estimates		1. Estimate products: multiply by 2-digit numbers
Session 1.3:  Making Estimates
1. Estimate products: multiply by 2-digit numbers
Session 1.4:  Breaking Numbers Apart		1. Multiply 2-digit numbers by 2-digit numbers using the distributive property
Session 1.4:  Breaking Numbers Apart
1. Multiply 2-digit numbers by 2-digit numbers using the distributive property
Session 1.5:  Multiplication Cluster Problems
Session 1.5:  Multiplication Cluster Problems
Session 1.6:  Solving Multiplication Problems		1. Multiply a 2-digit number by a 2-digit number
Session 1.6:  Solving Multiplication Problems
1. Multiply a 2-digit number by a 2-digit number
Session 1.7:  Solving 2-Digit Problems		1. Multiply a 2-digit number by a 2-digit number: word problems
Session 1.7:  Solving 2-Digit Problems
1. Multiply a 2-digit number by a 2-digit number: word problems
Investigation 2 - Strategies for Multiplication
Session 2.1:  Making an Easier Problem		1. Use one multiplication fact to complete another
Session 2.1:  Making an Easier Problem
1. Use one multiplication fact to complete another
Session 2.2:  Solutions to Cluster Problems		1. Multiply 2-digit numbers by 2-digit numbers: choose the area model 2. Multiply 2-digit numbers by 2-digit numbers using area models 3. Multiply 2-digit numbers by 2-digit numbers using partial products
Session 2.2:  Solutions to Cluster Problems
1. Multiply 2-digit numbers by 2-digit numbers: choose the area model 2. Multiply 2-digit numbers by 2-digit numbers using area models 3. Multiply 2-digit numbers by 2-digit numbers using partial products
Session 2.3:  Multiplying 4-Digit Numbers by 1-Digit Numbers		1. Multiply 1-digit numbers by 3-digit or 4-digit numbers: choose the area model 2. Multiply 1-digit numbers by 3-digit or 4-digit numbers using partial products
Session 2.3:  Multiplying 4-Digit Numbers by 1-Digit Numbers
1. Multiply 1-digit numbers by 3-digit or 4-digit numbers: choose the area model 2. Multiply 1-digit numbers by 3-digit or 4-digit numbers using partial products
Session 2.4:  Practicing Multiplication		1. Multiply 2-digit by 2-digit or 1-digit by 4-digit numbers Also consider: • Multiply 1-digit numbers by 3-digit or 4-digit numbers • Multiply 1-digit numbers by 3-digit or 4-digit numbers: word problems
Session 2.4:  Practicing Multiplication
1. Multiply 2-digit by 2-digit or 1-digit by 4-digit numbers Also consider: • Multiply 1-digit numbers by 3-digit or 4-digit numbers • Multiply 1-digit numbers by 3-digit or 4-digit numbers: word problems
Session 2.5:  Multiplication Problems		1. Multiplication word problems Also consider: • Multiply 1-digit or 2-digit numbers by 2-digit or 3-digit numbers
Session 2.5:  Multiplication Problems
1. Multiplication word problems Also consider: • Multiply 1-digit or 2-digit numbers by 2-digit or 3-digit numbers
Investigation 3 - Solving Division Problems
Session 3.1:  How Many Teams		1. Division word problems: up to 3-digit dividends Also consider: • Divide 2-digit numbers by 1-digit numbers using arrays • Divide 3-digit numbers by 1-digit numbers using area models • Divide using partial quotients
Session 3.1:  How Many Teams
1. Division word problems: up to 3-digit dividends Also consider: • Divide 2-digit numbers by 1-digit numbers using arrays • Divide 3-digit numbers by 1-digit numbers using area models • Divide using partial quotients
Session 3.2:  Solving Division Problems		1. Divide 3-digit numbers by 1-digit numbers
Session 3.2:  Solving Division Problems
1. Divide 3-digit numbers by 1-digit numbers
Session 3.3:  Dividing 4-Digit Numbers by 1-Digit Numbers		1. Divide larger numbers by 1-digit numbers 2. Divide larger numbers by 1-digit numbers: word problems Also consider: • Divide numbers ending in zeros by 1-digit numbers • Divide larger numbers by 1-digit numbers: interpret remainders
Session 3.3:  Dividing 4-Digit Numbers by 1-Digit Numbers
1. Divide larger numbers by 1-digit numbers 2. Divide larger numbers by 1-digit numbers: word problems Also consider: • Divide numbers ending in zeros by 1-digit numbers • Divide larger numbers by 1-digit numbers: interpret remainders
Session 3.4:  Multi-Step Problems and Division Strategies		1. Multi-step word problems
Session 3.4:  Multi-Step Problems and Division Strategies
1. Multi-step word problems
Session 3.5:  Multiplication and Division Problems		1. Multiplication and division word problems: numbers up to 4-digits
Session 3.5:  Multiplication and Division Problems
1. Multiplication and division word problems: numbers up to 4-digits
Session 3.6:  Multiplication, Division, and Multi-Step Problems		1. Use equations to solve multi-step division word problems 2. Use equations to solve multi-step word problems
Session 3.6:  Multiplication, Division, and Multi-Step Problems
1. Use equations to solve multi-step division word problems 2. Use equations to solve multi-step word problems

8	Unit 8 Penny Jars and Towers
Investigation 1 - Representing and Analyzing Patterns
Session 1.1:  The Penny Jar		1. Complete the addition pattern
Session 1.1:  The Penny Jar
1. Complete the addition pattern
Session 1.2:  Penny Jar Tables		1. Use a rule to complete an addition pattern
Session 1.2:  Penny Jar Tables
1. Use a rule to complete an addition pattern
Session 1.3:  Arithmetic Patterns		1. Addition input/output tables
Session 1.3:  Arithmetic Patterns
1. Addition input/output tables
Session 1.4:  Round 20		1. Addition number patterns: word problems I
Session 1.4:  Round 20
1. Addition number patterns: word problems I
Session 1.5:  Penny Jar Comparisons		1. Compare patterns
Session 1.5:  Penny Jar Comparisons
1. Compare patterns
Session 1.6:  Windows and Towers
Session 1.6:  Windows and Towers
Session 1.7:  Square and Corner Towers		1. Complete the input/output table: multiplication patterns
Session 1.7:  Square and Corner Towers
1. Complete the input/output table: multiplication patterns
Session 1.8:  Comparing Two Penny Jar Situations		1. What is true about the addition pattern?
Session 1.8:  Comparing Two Penny Jar Situations
1. What is true about the addition pattern?
Session 1.9:  Rules for Windows and Towers		1. Addition input/output tables: find the rule 2. Multiplication input/output tables: find the rule
Session 1.9:  Rules for Windows and Towers
1. Addition input/output tables: find the rule 2. Multiplication input/output tables: find the rule
Session 1.10:  Arithmetic Patterns, Tables, and Notation		1. Complete the table: word problems Also consider: • Identify mistakes in number patterns
Session 1.10:  Arithmetic Patterns, Tables, and Notation
1. Complete the table: word problems Also consider: • Identify mistakes in number patterns

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