IXL skill plan | Grade 4 plan for Into Math

Skill plan for Into Math - Grade 4

IXL provides skill alignments with recommended IXL skills for each unit. Find the IXL skills that are right for you below!

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1	Unit 1 Place Value and Whole Number Operations
Module 1 - Place Value of Whole Numbers
Lesson 1: Understand Place Value Relationships		1. Relationship between place values 2. Value of a digit 3. Place value names
Lesson 1: Understand Place Value Relationships
1. Relationship between place values 2. Value of a digit 3. Place value names

Lesson 2: Read and Write Numbers		1. Place value models 2. Convert between standard and expanded form 3. Naming numbers up to 100,000 Also consider: • Spell word names for numbers up to one million
Lesson 2: Read and Write Numbers
1. Place value models 2. Convert between standard and expanded form 3. Naming numbers up to 100,000 Also consider: • Spell word names for numbers up to one million

Lesson 3: Regroup and Rename Numbers		1. Convert between place values
Lesson 3: Regroup and Rename Numbers
1. Convert between place values

Lesson 4: Compare and Order Numbers		1. Compare numbers up to one million 2. Order numbers up to one million
Lesson 4: Compare and Order Numbers
1. Compare numbers up to one million 2. Order numbers up to one million

Lesson 5: Use Place Value Understanding to Round Numbers		1. Round using a number line 2. Rounding: up to millions place 3. Rounding input/output tables Also consider: • Rounding puzzles
Lesson 5: Use Place Value Understanding to Round Numbers
1. Round using a number line 2. Rounding: up to millions place 3. Rounding input/output tables Also consider: • Rounding puzzles
Module 2 - Addition and Subtraction of Whole Numbers
Lesson 1: Add Whole Numbers Assess Reasonableness		1. Add numbers up to six digits 2. Estimate sums: up to six digits Also consider: • Add two numbers up to six digits: word problems • Estimate sums: word problems up to six digits • Addition: fill in the missing digits
Lesson 1: Add Whole Numbers Assess Reasonableness
1. Add numbers up to six digits 2. Estimate sums: up to six digits Also consider: • Add two numbers up to six digits: word problems • Estimate sums: word problems up to six digits • Addition: fill in the missing digits

Lesson 2: Subtract Whole Numbers and Assess Reasonableness		1. Subtract numbers up to six digits 2. Estimate differences: up to six digits Also consider: • Subtract numbers up to six digits: word problems • Estimate differences: word problems • Subtraction: fill in the missing digits
Lesson 2: Subtract Whole Numbers and Assess Reasonableness
1. Subtract numbers up to six digits 2. Estimate differences: up to six digits Also consider: • Subtract numbers up to six digits: word problems • Estimate differences: word problems • Subtraction: fill in the missing digits

Lesson 3: Use Addition and Subtraction to Solve Comparison Problems		1. Comparison word problems with addition and subtraction Also consider: • Use equations to solve addition and subtraction word problems
Lesson 3: Use Addition and Subtraction to Solve Comparison Problems
1. Comparison word problems with addition and subtraction Also consider: • Use equations to solve addition and subtraction word problems

Lesson 4: Apply the Perimeter Formula for Rectangles		1. Find the perimeter of rectangles using formulas Also consider: • Perimeter of rectangles: word problems
Lesson 4: Apply the Perimeter Formula for Rectangles
1. Find the perimeter of rectangles using formulas Also consider: • Perimeter of rectangles: word problems

2	Unit 2 Multiplication and Division Problems
Module 3 - Interpret and Solve Problem Situations
Lesson 1: Explore Multiplicative Comparisons		1. Compare numbers using multiplication Also consider: • Write multiplication equations for arrays
Lesson 1: Explore Multiplicative Comparisons
1. Compare numbers using multiplication Also consider: • Write multiplication equations for arrays

Lesson 2: Distinguish Between Multiplicative and Additive Comparisons		1. Comparison word problems: addition or multiplication?
Lesson 2: Distinguish Between Multiplicative and Additive Comparisons
1. Comparison word problems: addition or multiplication?

Lesson 3: Use Division to Solve Multiplicative Comparison Problems		1. Compare numbers using multiplication: word problems
Lesson 3: Use Division to Solve Multiplicative Comparison Problems
1. Compare numbers using multiplication: word problems

Lesson 4: Use Comparisons to Solve Problem Situations		1. Compare numbers using multiplication or addition: word problems
Lesson 4: Use Comparisons to Solve Problem Situations
1. Compare numbers using multiplication or addition: word problems

Lesson 5: Solve Multistep Problems with Multiplication and Division		1. Two-step word problems with strip diagrams
Lesson 5: Solve Multistep Problems with Multiplication and Division
1. Two-step word problems with strip diagrams
Module 4 - Mental Math and Estimation Strategies
Lesson 1: Explore Multiplication Patterns with Tens, Hundreds, and Thousands		1. Multiplication patterns over increasing place values 2. Multiply by multiples of 10, 100, and 1,000 Also consider: • Multiply two multiples of ten: word problems
Lesson 1: Explore Multiplication Patterns with Tens, Hundreds, and Thousands
1. Multiplication patterns over increasing place values 2. Multiply by multiples of 10, 100, and 1,000 Also consider: • Multiply two multiples of ten: word problems

Lesson 2: Explore Division Patterns with Tens, Hundreds, and Thousands		1. Division patterns over increasing place values: up to thousands 2. Divide numbers ending in zeros by 1-digit numbers Also consider: • Divide numbers ending in zeros by 1-digit numbers: word problems
Lesson 2: Explore Division Patterns with Tens, Hundreds, and Thousands
1. Division patterns over increasing place values: up to thousands 2. Divide numbers ending in zeros by 1-digit numbers Also consider: • Divide numbers ending in zeros by 1-digit numbers: word problems

Lesson 3: Estimate Products by 1-Digit Numbers		1. Estimate products: multiply by 1-digit numbers Also consider: • Estimate products word problems: identify reasonable answers
Lesson 3: Estimate Products by 1-Digit Numbers
1. Estimate products: multiply by 1-digit numbers Also consider: • Estimate products word problems: identify reasonable answers

Lesson 4: Estimate Quotients Using Compatible Numbers		1. Estimate quotients using compatible numbers: 1-digit divisors 2. Estimate quotients: word problems
Lesson 4: Estimate Quotients Using Compatible Numbers
1. Estimate quotients using compatible numbers: 1-digit divisors 2. Estimate quotients: word problems

Lesson 5: Use Mental Math Strategies for Multiplication and Division		1. Multiply 1-digit numbers by 2-digit numbers using the distributive property 2. Multiply using the associative and commutative properties Also consider: • Properties of division
Lesson 5: Use Mental Math Strategies for Multiplication and Division
1. Multiply 1-digit numbers by 2-digit numbers using the distributive property 2. Multiply using the associative and commutative properties Also consider: • Properties of division
Module 5 - Multiply by 1-Digit Numbers
Lesson 1: Represent Multiplication		1. Multiply 1-digit numbers by 2-digit numbers: choose the area model
Lesson 1: Represent Multiplication
1. Multiply 1-digit numbers by 2-digit numbers: choose the area model

Lesson 2: Use Area Models and the Distributive Property to Multiply		1. Multiply 1-digit numbers by teen numbers using grids 2. Multiply 1-digit numbers by 2-digit numbers using area models
Lesson 2: Use Area Models and the Distributive Property to Multiply
1. Multiply 1-digit numbers by teen numbers using grids 2. Multiply 1-digit numbers by 2-digit numbers using area models

Lesson 3: Multiply Using Expanded Form		1. Multiply 1-digit numbers by 3-digit or 4-digit numbers using expanded form
Lesson 3: Multiply Using Expanded Form
1. Multiply 1-digit numbers by 3-digit or 4-digit numbers using expanded form

Lesson 4: Multiply Using Partial Products		1. Multiply 1-digit numbers by multi-digit numbers using partial products 2. Multiply 1-digit numbers by 3-digit or 4-digit numbers: choose the area model 3. Multiply 1-digit numbers by 3-digit or 4-digit numbers using area models
Lesson 4: Multiply Using Partial Products
1. Multiply 1-digit numbers by multi-digit numbers using partial products 2. Multiply 1-digit numbers by 3-digit or 4-digit numbers: choose the area model 3. Multiply 1-digit numbers by 3-digit or 4-digit numbers using area models

Lesson 5: Use Place Value to Multiply 2-Digit Numbers		1. Multiply 1-digit numbers by 2-digit numbers 2. Multiply 1-digit numbers by 2-digit numbers: word problems
Lesson 5: Use Place Value to Multiply 2-Digit Numbers
1. Multiply 1-digit numbers by 2-digit numbers 2. Multiply 1-digit numbers by 2-digit numbers: word problems

Lesson 6: Multiply 3-Digit and 4-Digit Numbers		1. Multiply 1-digit numbers by 3-digit or 4-digit numbers 2. Multiply 1-digit numbers by numbers with 2, 3, or 4 digits: word problems
Lesson 6: Multiply 3-Digit and 4-Digit Numbers
1. Multiply 1-digit numbers by 3-digit or 4-digit numbers 2. Multiply 1-digit numbers by numbers with 2, 3, or 4 digits: word problems

Lesson 7: Use Equations to Solve Multistep Problems		1. Multiply 1-digit numbers by 2-digit numbers: multi-step word problems 2. Multiply three or more numbers: word problems
Lesson 7: Use Equations to Solve Multistep Problems
1. Multiply 1-digit numbers by 2-digit numbers: multi-step word problems 2. Multiply three or more numbers: word problems
Module 6 - Understand Division by 1-Digit Numbers
Lesson 1: Represent Division		1. Divide 2-digit numbers by 1-digit numbers: word problems 2. Write division sentences for arrays Also consider: • Divide 2-digit numbers by 1-digit numbers: complete the table
Lesson 1: Represent Division
1. Divide 2-digit numbers by 1-digit numbers: word problems 2. Write division sentences for arrays Also consider: • Divide 2-digit numbers by 1-digit numbers: complete the table

Lesson 2: Investigate Remainders		1. Divide 2-digit numbers by 1-digit numbers using arrays 2. Divide 2-digit numbers by 1-digit numbers: word problems with remainders
Lesson 2: Investigate Remainders
1. Divide 2-digit numbers by 1-digit numbers using arrays 2. Divide 2-digit numbers by 1-digit numbers: word problems with remainders

Lesson 3: Interpret Remainders		1. Divide 2-digit numbers by 1-digit numbers: interpret remainders
Lesson 3: Interpret Remainders
1. Divide 2-digit numbers by 1-digit numbers: interpret remainders

Lesson 4: Use Area Models and the Distributive Property to Divide		1. Divide using the distributive property 2. Divide using area models
Lesson 4: Use Area Models and the Distributive Property to Divide
1. Divide using the distributive property 2. Divide using area models

Lesson 5: Divide Using Repeated Subtraction		1. Divide using repeated subtraction
Lesson 5: Divide Using Repeated Subtraction
1. Divide using repeated subtraction

Lesson 6: Divide Using Partial Quotients		1. Divide using partial quotients
Lesson 6: Divide Using Partial Quotients
1. Divide using partial quotients
Module 7 - Divide by 1-Digit Numbers
Lesson 1: Represent Division with Regrouping		1. Divide 2-digit numbers by 1-digit numbers
Lesson 1: Represent Division with Regrouping
1. Divide 2-digit numbers by 1-digit numbers

Lesson 2: Use Place Value to Divide		1. Divide 3-digit numbers by 1-digit numbers 2. Divide 3-digit numbers by 1-digit numbers: word problems
Lesson 2: Use Place Value to Divide
1. Divide 3-digit numbers by 1-digit numbers 2. Divide 3-digit numbers by 1-digit numbers: word problems

Lesson 3: Divide by 1-Digit Numbers		1. Divide 4-digit numbers by 1-digit numbers 2. Divide 4-digit numbers by 1-digit numbers: word problems Also consider: • Divide larger numbers by 1-digit numbers: interpret remainders
Lesson 3: Divide by 1-Digit Numbers
1. Divide 4-digit numbers by 1-digit numbers 2. Divide 4-digit numbers by 1-digit numbers: word problems Also consider: • Divide larger numbers by 1-digit numbers: interpret remainders

Lesson 4: Solve Multistep Multiplication and Division Problems		1. Multi-step word problems 2. Multi-step word problems involving remainders Also consider: • Multi-step word problems with strip diagrams • Use strip diagrams to represent and solve multi-step word problems
Lesson 4: Solve Multistep Multiplication and Division Problems
1. Multi-step word problems 2. Multi-step word problems involving remainders Also consider: • Multi-step word problems with strip diagrams • Use strip diagrams to represent and solve multi-step word problems

3	Unit 3 Extend and Apply Multiplication
Module 8 - Multiply by 2-Digit Numbers
Lesson 1: Multiply with Tens		1. Multiply a two-digit number by a multiple of ten
Lesson 1: Multiply with Tens
1. Multiply a two-digit number by a multiple of ten

Lesson 2: Estimate Products		1. Estimate products: multiply by 2-digit numbers 2. Estimate products: word problems
Lesson 2: Estimate Products
1. Estimate products: multiply by 2-digit numbers 2. Estimate products: word problems

Lesson 3: Relate Area Models and Partial Products		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
Lesson 3: Relate Area Models and Partial Products
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

Lesson 4: Multiply Using Partial Products		1. Multiply 2-digit numbers by 2-digit numbers using partial products
Lesson 4: Multiply Using Partial Products
1. Multiply 2-digit numbers by 2-digit numbers using partial products

Lesson 5: Multiply with Regrouping		1. Multiply a 2-digit number by a 2-digit number 2. Multiply a 2-digit number by a 2-digit number: complete the missing steps
Lesson 5: Multiply with Regrouping
1. Multiply a 2-digit number by a 2-digit number 2. Multiply a 2-digit number by a 2-digit number: complete the missing steps

Lesson 6: Choose a Multiplication Strategy		1. Review: Multiply a 2-digit number by a 2-digit number 2. Multiply a 2-digit number by a 2-digit number: word problems
Lesson 6: Choose a Multiplication Strategy
1. Review: Multiply a 2-digit number by a 2-digit number 2. Multiply a 2-digit number by a 2-digit number: word problems

Lesson 7: Solve Multistep Problems and Assess Reasonableness		1. Multiply a 2-digit number by a 2-digit number: multi-step word problems 2. Multi-step word problems: identify reasonable answers
Lesson 7: Solve Multistep Problems and Assess Reasonableness
1. Multiply a 2-digit number by a 2-digit number: multi-step word problems 2. Multi-step word problems: identify reasonable answers
Module 9 - Apply Multiplication to Area
Lesson 1: Apply the Area Formula to Rectangles		1. Find the area of rectangles using formulas 2. Area of rectangles: word problems
Lesson 1: Apply the Area Formula to Rectangles
1. Find the area of rectangles using formulas 2. Area of rectangles: word problems

Lesson 2: Find the Area of Combined Rectangles		1. Area of complex figures
Lesson 2: Find the Area of Combined Rectangles
1. Area of complex figures

Lesson 3: Find Unknown Measures		1. Find the missing side length of a rectangle 2. Find the missing side length of a rectangle: word problems
Lesson 3: Find Unknown Measures
1. Find the missing side length of a rectangle 2. Find the missing side length of a rectangle: word problems

Lesson 4: Solve Area Problems		1. Area between two rectangles 2. Area of complex figures: word problems
Lesson 4: Solve Area Problems
1. Area between two rectangles 2. Area of complex figures: word problems

4	Unit 4 Fractions and Decimals
Module 10 - Algebraic Thinking: Number Theory
Lesson 1: Investigate Factors		1. Find all the factor pairs of a number Also consider: • Choose numbers with a particular product
Lesson 1: Investigate Factors
1. Find all the factor pairs of a number Also consider: • Choose numbers with a particular product

Lesson 2: Identify Factors		1. Identify factors 2. Divisibility rules for numbers up to 100 3. Divisibility rules for numbers up to 100: word problems
Lesson 2: Identify Factors
1. Identify factors 2. Divisibility rules for numbers up to 100 3. Divisibility rules for numbers up to 100: word problems

Lesson 3: Generate Multiples using Factors		1. Choose the multiples of a given number up to 10
Lesson 3: Generate Multiples using Factors
1. Choose the multiples of a given number up to 10

Lesson 4: Identify Prime and Composite Numbers		1. Prime and composite: up to 100
Lesson 4: Identify Prime and Composite Numbers
1. Prime and composite: up to 100

Lesson 5: Generate and Analyze Number Patterns		1. Use a rule to complete a number pattern 2. What is true about the given pattern? Also consider: • What is true about the pattern made by the rule? • Identify mistakes in number patterns
Lesson 5: Generate and Analyze Number Patterns
1. Use a rule to complete a number pattern 2. What is true about the given pattern? Also consider: • What is true about the pattern made by the rule? • Identify mistakes in number patterns
Module 11 - Fraction Equivalence and Comparison
Lesson 1: Compare Fractions Using Visual Models		1. Compare fractions using models
Lesson 1: Compare Fractions Using Visual Models
1. Compare fractions using models

Lesson 2: Compare Fractions Using Benchmarks		1. Compare fractions: given a benchmark 2. Compare fractions: identify the benchmark
Lesson 2: Compare Fractions Using Benchmarks
1. Compare fractions: given a benchmark 2. Compare fractions: identify the benchmark

Lesson 3: Explain Fraction Equivalence Using Visual Models		1. Find equivalent fractions using area models
Lesson 3: Explain Fraction Equivalence Using Visual Models
1. Find equivalent fractions using area models

Lesson 4: Generate Equivalent Fractions		1. Identify the equivalent fraction 2. Equivalent fractions: find the missing numerator or denominator
Lesson 4: Generate Equivalent Fractions
1. Identify the equivalent fraction 2. Equivalent fractions: find the missing numerator or denominator

Lesson 5: Use Common Multiples to Write Equivalent Fractions		1. Patterns of equivalent fractions
Lesson 5: Use Common Multiples to Write Equivalent Fractions
1. Patterns of equivalent fractions

Lesson 6: Compare Fractions Using Common Numerators and Denominators		1. Compare fractions Also consider: • Compare fractions: find the missing numerator or denominator
Lesson 6: Compare Fractions Using Common Numerators and Denominators
1. Compare fractions Also consider: • Compare fractions: find the missing numerator or denominator

Lesson 7: Use Comparisons to Order Fractions		1. Order fractions
Lesson 7: Use Comparisons to Order Fractions
1. Order fractions
Module 12 - Relate Fractions and Decimals
Lesson 1: Represent Tenths as Fractions and Decimals		1. Model decimals and fractions: tenths 2. Graph tenths on a number line: fractions and mixed numbers Also consider: • Understanding tenths expressed in words
Lesson 1: Represent Tenths as Fractions and Decimals
1. Model decimals and fractions: tenths 2. Graph tenths on a number line: fractions and mixed numbers Also consider: • Understanding tenths expressed in words

Lesson 2: Represent Hundredths as Fractions and Decimals		1. Model decimals and fractions: hundredths 2. Graph hundredths on a number line: fractions and mixed numbers Also consider: • Understanding hundredths expressed in words
Lesson 2: Represent Hundredths as Fractions and Decimals
1. Model decimals and fractions: hundredths 2. Graph hundredths on a number line: fractions and mixed numbers Also consider: • Understanding hundredths expressed in words

Lesson 3: Identify Equivalent Fractions and Decimals		1. Proper fractions and mixed numbers with denominators of 10 and 100 2. Convert fractions and mixed numbers to decimals - denominators of 10 and 100 Also consider: • Equivalent decimals using tenths and hundredths • Convert decimals to fractions and mixed numbers
Lesson 3: Identify Equivalent Fractions and Decimals
1. Proper fractions and mixed numbers with denominators of 10 and 100 2. Convert fractions and mixed numbers to decimals - denominators of 10 and 100 Also consider: • Equivalent decimals using tenths and hundredths • Convert decimals to fractions and mixed numbers

Lesson 4: Compare Decimals		1. Compare decimals using models 2. Compare decimals on number lines 3. Compare decimal numbers
Lesson 4: Compare Decimals
1. Compare decimals using models 2. Compare decimals on number lines 3. Compare decimal numbers

Lesson 5: Relate Fractions, Decimals, and Money		1. Relate decimals and money 2. Count coins and bills - up to $20 bill
Lesson 5: Relate Fractions, Decimals, and Money
1. Relate decimals and money 2. Count coins and bills - up to $20 bill

Lesson 6: Solve Multistep Money Problems		1. Multi-step word problems with money: addition and subtraction only 2. Multi-step word problems with money Also consider: • Price lists with addition and subtraction • Count coins and bills word problems - up to $20 bill
Lesson 6: Solve Multistep Money Problems
1. Multi-step word problems with money: addition and subtraction only 2. Multi-step word problems with money Also consider: • Price lists with addition and subtraction • Count coins and bills word problems - up to $20 bill
Module 13 - Use Fractions to Understand Angles
Lesson 1: Explore Lines, Rays, and Angles		1. Points, lines, line segments, rays, and angles
Lesson 1: Explore Lines, Rays, and Angles
1. Points, lines, line segments, rays, and angles

Lesson 2: Explore Angles		1. Angles greater than, less than, or equal to a right angle
Lesson 2: Explore Angles
1. Angles greater than, less than, or equal to a right angle

Lesson 3: Relate Angles to Fractional Parts of a Circle		1. Angles as fractions of a circle
Lesson 3: Relate Angles to Fractional Parts of a Circle
1. Angles as fractions of a circle

Lesson 4: Relate Degrees to Fractional Parts of a Circle		1. Acute, right, obtuse, and straight angles 2. Use fractions to find the measure of an angle Also consider: • Measure angles on a circle
Lesson 4: Relate Degrees to Fractional Parts of a Circle
1. Acute, right, obtuse, and straight angles 2. Use fractions to find the measure of an angle Also consider: • Measure angles on a circle

Lesson 5: Measure and Draw Angles Using a Protractor		1. Measure angles with a protractor I 2. Draw angles with a protractor Also consider: • Estimate angle measurements
Lesson 5: Measure and Draw Angles Using a Protractor
1. Measure angles with a protractor I 2. Draw angles with a protractor Also consider: • Estimate angle measurements

Lesson 6: Join and Separate Angles		1. Adjacent angles
Lesson 6: Join and Separate Angles
1. Adjacent angles

Lesson 7: Find Unknown Angle Measures		1. Angle measures: word problems
Lesson 7: Find Unknown Angle Measures
1. Angle measures: word problems

5	Unit 5 Operations with Fractions
Module 14 - Understand Addition and Subtraction of Fractions with Like Denominators
Lesson 1: Decompose Fractions		1. Decompose fractions into unit fractions using models 2. Write a fraction as a sum of unit fractions 3. Write a fraction as a sum of fractions in multiple ways Also consider: • Write a fraction as a sum of fractions
Lesson 1: Decompose Fractions
1. Decompose fractions into unit fractions using models 2. Write a fraction as a sum of unit fractions 3. Write a fraction as a sum of fractions in multiple ways Also consider: • Write a fraction as a sum of fractions

Lesson 2: Join Parts of the Same Whole		1. Add fractions with like denominators using area models 2. Add fractions with like denominators using strip models
Lesson 2: Join Parts of the Same Whole
1. Add fractions with like denominators using area models 2. Add fractions with like denominators using strip models

Lesson 3: Represent Addition of Fractions		1. Add fractions with like denominators using number lines 2. Add fractions with like denominators
Lesson 3: Represent Addition of Fractions
1. Add fractions with like denominators using number lines 2. Add fractions with like denominators

Lesson 4: Separate Parts of the Same Whole		1. Subtract fractions with like denominators using area models 2. Subtract fractions with like denominators using strip models
Lesson 4: Separate Parts of the Same Whole
1. Subtract fractions with like denominators using area models 2. Subtract fractions with like denominators using strip models

Lesson 5: Represent Subtraction of Fractions		1. Subtract fractions with like denominators using number lines 2. Subtract fractions with like denominators
Lesson 5: Represent Subtraction of Fractions
1. Subtract fractions with like denominators using number lines 2. Subtract fractions with like denominators

Lesson 6: Add Fractional Parts of 10 and 100		1. Add tenths and hundredths: sums less than 1 Also consider: • Identify fraction expressions with a particular sum: denominators of 10 and 100
Lesson 6: Add Fractional Parts of 10 and 100
1. Add tenths and hundredths: sums less than 1 Also consider: • Identify fraction expressions with a particular sum: denominators of 10 and 100
Module 15 - Add and Subtract Fractions and Mixed Numbers with Like Denominators
Lesson 1: Add and Subtract Fractions to Solve Problems		1. Add and subtract fractions with like denominators: word problems
Lesson 1: Add and Subtract Fractions to Solve Problems
1. Add and subtract fractions with like denominators: word problems

Lesson 2: Rename Fractions and Mixed Numbers		1. Identify mixed numbers 2. Convert between improper fractions and mixed numbers
Lesson 2: Rename Fractions and Mixed Numbers
1. Identify mixed numbers 2. Convert between improper fractions and mixed numbers

Lesson 3: Add and Subtract Mixed Numbers to Solve Problems		1. Add mixed numbers 2. Subtract mixed numbers without regrouping
Lesson 3: Add and Subtract Mixed Numbers to Solve Problems
1. Add mixed numbers 2. Subtract mixed numbers without regrouping

Lesson 4: Rename Mixed Numbers to Subtract		1. Subtract mixed numbers with regrouping Also consider: • Subtract fractions from whole numbers
Lesson 4: Rename Mixed Numbers to Subtract
1. Subtract mixed numbers with regrouping Also consider: • Subtract fractions from whole numbers

Lesson 5: Apply Properties of Addition to Add Fractions and Mixed Numbers		1. Add fractions and mixed numbers using properties
Lesson 5: Apply Properties of Addition to Add Fractions and Mixed Numbers
1. Add fractions and mixed numbers using properties

Lesson 6: Practice Solving Fraction Problems		1. Add and subtract mixed numbers with like denominators: word problems
Lesson 6: Practice Solving Fraction Problems
1. Add and subtract mixed numbers with like denominators: word problems
Module 16 - Multiply Fractions by Whole Numbers
Lesson 1: Understand Multiples of Unit Fractions		1. Multiply unit fractions by whole numbers using number lines 2. Multiply unit fractions by whole numbers using models 3. Multiply unit fractions by whole numbers: word problems Also consider: • Multiples of unit fractions: find the missing numbers
Lesson 1: Understand Multiples of Unit Fractions
1. Multiply unit fractions by whole numbers using number lines 2. Multiply unit fractions by whole numbers using models 3. Multiply unit fractions by whole numbers: word problems Also consider: • Multiples of unit fractions: find the missing numbers

Lesson 2: Find Multiples of Fractions		1. Multiples of fractions: find the missing numbers
Lesson 2: Find Multiples of Fractions
1. Multiples of fractions: find the missing numbers

Lesson 3: Represent Multiplication of a Fraction by a Whole Number		1. Multiply fractions by whole numbers using models: complete the equation 2. Multiply fractions by whole numbers 3. Multiply fractions by whole numbers: word problems Also consider: • Multiply fractions by whole numbers using models • Multiply fractions by whole numbers using number lines
Lesson 3: Represent Multiplication of a Fraction by a Whole Number
1. Multiply fractions by whole numbers using models: complete the equation 2. Multiply fractions by whole numbers 3. Multiply fractions by whole numbers: word problems Also consider: • Multiply fractions by whole numbers using models • Multiply fractions by whole numbers using number lines

Lesson 4: Solve Problems Using Multiplication of a Fraction or Mixed Number by a Whole Number		1. Multiply mixed numbers by whole numbers 2. Multiply mixed numbers by whole numbers: word problems Also consider: • Multiply fractions and mixed numbers by whole numbers in recipes
Lesson 4: Solve Problems Using Multiplication of a Fraction or Mixed Number by a Whole Number
1. Multiply mixed numbers by whole numbers 2. Multiply mixed numbers by whole numbers: word problems Also consider: • Multiply fractions and mixed numbers by whole numbers in recipes

6	Unit 6 Two-Dimensional Figures and Symmetry
Module 17 - Two-Dimensional Figures
Lesson 1: Identify and Draw Perpendicular and Parallel Lines		1. Parallel, perpendicular, and intersecting lines 2. Identify parallel, perpendicular, and intersecting lines
Lesson 1: Identify and Draw Perpendicular and Parallel Lines
1. Parallel, perpendicular, and intersecting lines 2. Identify parallel, perpendicular, and intersecting lines

Lesson 2: Identify and Classify Triangles by Angles		1. Acute, obtuse, and right triangles
Lesson 2: Identify and Classify Triangles by Angles
1. Acute, obtuse, and right triangles

Lesson 3: Identify and Classify Triangles by Sides		1. Scalene, isosceles, and equilateral triangles
Lesson 3: Identify and Classify Triangles by Sides
1. Scalene, isosceles, and equilateral triangles

Lesson 4: Identify and Classify Quadrilaterals		1. Pick all the names for a quadrilateral 2. Classify quadrilaterals 3. Sides and angles of quadrilaterals Also consider: • Identify relationships between quadrilaterals • Describe relationships among quadrilaterals
Lesson 4: Identify and Classify Quadrilaterals
1. Pick all the names for a quadrilateral 2. Classify quadrilaterals 3. Sides and angles of quadrilaterals Also consider: • Identify relationships between quadrilaterals • Describe relationships among quadrilaterals

Lesson 5: Measure and Draw Angles of Two-Dimensional Figures		1. Measure angles with a protractor II
Lesson 5: Measure and Draw Angles of Two-Dimensional Figures
1. Measure angles with a protractor II
Module 18 - Symmetry and Patterns
Lesson 1: Recognize Lines of Symmetry		1. Identify lines of symmetry
Lesson 1: Recognize Lines of Symmetry
1. Identify lines of symmetry

Lesson 2: Identify and Draw Lines of Symmetry		1. Draw lines of symmetry in polygons 2. Count lines of symmetry
Lesson 2: Identify and Draw Lines of Symmetry
1. Draw lines of symmetry in polygons 2. Count lines of symmetry

Lesson 3: Generate and Identify Shape Patterns		1. Complete a repeating pattern 2. Find the next row in a growing pattern of shapes Also consider: • Use a rule to complete a number pattern • Find the next shape in a pattern • Extend growing shape patterns
Lesson 3: Generate and Identify Shape Patterns
1. Complete a repeating pattern 2. Find the next row in a growing pattern of shapes Also consider: • Use a rule to complete a number pattern • Find the next shape in a pattern • Extend growing shape patterns

7	Unit 7 Measurement, Data, and Time
Module 19 - Relative Sizes of Customary Measurement Units
Lesson 1: Identify Customary Measurement Benchmarks		1. Which customary unit is appropriate?
Lesson 1: Identify Customary Measurement Benchmarks
1. Which customary unit is appropriate?

Lesson 2: Compare Customary Units of Length		1. Compare and convert customary units of length
Lesson 2: Compare Customary Units of Length
1. Compare and convert customary units of length

Lesson 3: Compare Customary Units of Weight		1. Convert and compare customary units of weight
Lesson 3: Compare Customary Units of Weight
1. Convert and compare customary units of weight

Lesson 4: Compare Customary Units of Liquid Volume		1. Compare and convert customary units of volume Also consider: • Conversion tables - customary units
Lesson 4: Compare Customary Units of Liquid Volume
1. Compare and convert customary units of volume Also consider: • Conversion tables - customary units

Lesson 5: Represent and Interpret Measurement Data in Line Plots		1. Create and interpret line plots with fractions Also consider: • Interpret line plots • Create line plots with fractions
Lesson 5: Represent and Interpret Measurement Data in Line Plots
1. Create and interpret line plots with fractions Also consider: • Interpret line plots • Create line plots with fractions
Module 20 - Relative Sizes of Metric Measurement Units
Lesson 1: Identify Metric Measurement Benchmarks		1. Which metric unit is appropriate?
Lesson 1: Identify Metric Measurement Benchmarks
1. Which metric unit is appropriate?

Lesson 2: Compare Metric Units of Length		1. Convert and compare metric units of length
Lesson 2: Compare Metric Units of Length
1. Convert and compare metric units of length

Lesson 3: Compare Metric Units of Mass and Liquid Volume		1. Compare metric units of mass and volume 2. Compare and convert metric units of mass and volume Also consider: • Conversion tables - metric units
Lesson 3: Compare Metric Units of Mass and Liquid Volume
1. Compare metric units of mass and volume 2. Compare and convert metric units of mass and volume Also consider: • Conversion tables - metric units

Lesson 4: Solve Problems Using Measurements		1. Multi-step measurement word problems
Lesson 4: Solve Problems Using Measurements
1. Multi-step measurement word problems
Module 21 - Solve Problems with Time and Measurement
Lesson 1: Compare Units of Time		1. Convert time units: hours, minutes, and seconds
Lesson 1: Compare Units of Time
1. Convert time units: hours, minutes, and seconds

Lesson 2: Solve Problems Involving Elapsed Time		1. Elapsed time: word problems Also consider: • Elapsed time
Lesson 2: Solve Problems Involving Elapsed Time
1. Elapsed time: word problems Also consider: • Elapsed time

Lesson 3: Solve Problems Involving Start and End Times		1. Find end times: word problems 2. Find start and end times: multi-step word problems Also consider: • Time patterns
Lesson 3: Solve Problems Involving Start and End Times
1. Find end times: word problems 2. Find start and end times: multi-step word problems Also consider: • Time patterns

Lesson 4: Practice with Mixed Measures		1. Add and subtract units of length 2. Add and subtract mixed time units
Lesson 4: Practice with Mixed Measures
1. Add and subtract units of length 2. Add and subtract mixed time units

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