IXL skill plan | Level 4 plan for Eureka Math2

Skill plan for Eureka Math² - Level 4

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1	Module 1 Place Value Concepts for Addition and Subtraction
Topic A - Multiplication as Multiplicative Comparison
Lesson 1: Interpret multiplication as multiplicative comparison.		1. Compare numbers using multiplication
Lesson 1: Interpret multiplication as multiplicative comparison.
1. Compare numbers using multiplication

Lesson 2: Solve multiplicative comparison problems with unknowns in various positions.		1. Relate multiplication and division: up to 100 Also consider: • Relate multiplication and division for arrays
Lesson 2: Solve multiplicative comparison problems with unknowns in various positions.
1. Relate multiplication and division: up to 100 Also consider: • Relate multiplication and division for arrays

Lesson 3: Describe relationships between measurements by using multiplicative comparison. Lesson 4: Represent the composition of larger units of money by using multiplicative comparison.		1. Compare numbers using multiplication: word problems
Lesson 3: Describe relationships between measurements by using multiplicative comparison. Lesson 4: Represent the composition of larger units of money by using multiplicative comparison.
1. Compare numbers using multiplication: word problems
Topic B - Place Value and Comparison Within 1,000,000
Lesson 5: Organize, count, and represent a collection of objects.		1. Place value names
Lesson 5: Organize, count, and represent a collection of objects.
1. Place value names

Lesson 6: Demonstrate that a digit represents 10 times the value of what it represents in the place to its right.		1. Relationship between place values 2. Convert between place values: up to hundred thousands
Lesson 6: Demonstrate that a digit represents 10 times the value of what it represents in the place to its right.
1. Relationship between place values 2. Convert between place values: up to hundred thousands

Lesson 7: Write numbers to 1,000,000 in unit form and expanded form by using place value structure.		1. Write numbers in expanded form: up 1,000,000
Lesson 7: Write numbers to 1,000,000 in unit form and expanded form by using place value structure.
1. Write numbers in expanded form: up 1,000,000

Lesson 8: Write numbers to 1,000,000 in standard form and word form.		1. Convert between standard and expanded form: up to 1,000,000 2. Writing numbers up to one million: convert between words and digits 3. Writing numbers up to one million in words: convert digits to words
Lesson 8: Write numbers to 1,000,000 in standard form and word form.
1. Convert between standard and expanded form: up to 1,000,000 2. Writing numbers up to one million: convert between words and digits 3. Writing numbers up to one million in words: convert digits to words

Lesson 9: Compare numbers within 1,000,000 by using >, =, and < .		1. Value of a digit 2. Compare numbers up to one million 3. Order numbers up to one million Also consider: • Compare numbers in tables
Lesson 9: Compare numbers within 1,000,000 by using >, =, and < .
1. Value of a digit 2. Compare numbers up to one million 3. Order numbers up to one million Also consider: • Compare numbers in tables
Topic C - Rounding Multi-Digit Whole Numbers
Lesson 10: Name numbers by using place value understanding.		1. Convert between place values
Lesson 10: Name numbers by using place value understanding.
1. Convert between place values

Lesson 11: Find 1, 10, and 100 thousand more than and less than a given number.		1. Input/output tables: add and subtract 1, 10, or 100 thousand
Lesson 11: Find 1, 10, and 100 thousand more than and less than a given number.
1. Input/output tables: add and subtract 1, 10, or 100 thousand

Lesson 12: Round to the nearest thousand.		1. Round using a number line 2. Rounding: up to thousands place
Lesson 12: Round to the nearest thousand.
1. Round using a number line 2. Rounding: up to thousands place

Lesson 13: Round to the nearest ten thousand and hundred thousand.		1. Round to the nearest ten thousand or hundred thousand Also consider: • Rounding: up to millions place
Lesson 13: Round to the nearest ten thousand and hundred thousand.
1. Round to the nearest ten thousand or hundred thousand Also consider: • Rounding: up to millions place

Lesson 14: Round multi-digit numbers to any place.		1. Round a number to any place: up to hundred thousands Also consider: • Rounding puzzles
Lesson 14: Round multi-digit numbers to any place.
1. Round a number to any place: up to hundred thousands Also consider: • Rounding puzzles

Lesson 15: Apply estimation to real-world situations by using rounding.		1. Estimate sums: word problems
Lesson 15: Apply estimation to real-world situations by using rounding.
1. Estimate sums: word problems
Topic D - Multi-Digit Whole Number Addition and Subtraction
Lesson 16: Add by using the standard algorithm.		1. Add numbers up to six digits 2. Add two numbers up to six digits: word problems Also consider: • Add three numbers up to six digits each • Add three numbers up to three digits each: word problems
Lesson 16: Add by using the standard algorithm.
1. Add numbers up to six digits 2. Add two numbers up to six digits: word problems Also consider: • Add three numbers up to six digits each • Add three numbers up to three digits each: word problems

Lesson 17: Solve multi-step addition word problems by using the standard algorithm.		1. Multi-step addition word problems 2. Estimate sums: word problems
Lesson 17: Solve multi-step addition word problems by using the standard algorithm.
1. Multi-step addition word problems 2. Estimate sums: word problems

Lesson 18: Subtract by using the standard algorithm, decomposing larger units once.		1. Subtract two numbers up to six digits: regroup once Also consider: • Subtract two numbers up to six digits without regrouping • Subtract numbers up to six digits: word problems
Lesson 18: Subtract by using the standard algorithm, decomposing larger units once.
1. Subtract two numbers up to six digits: regroup once Also consider: • Subtract two numbers up to six digits without regrouping • Subtract numbers up to six digits: word problems

Lesson 19: Subtract by using the standard algorithm, decomposing larger units up to 3 times. Lesson 20: Subtract by using the standard algorithm, decomposing larger units multiple times.		1. Subtract two numbers up to six digits with regrouping 2. Subtract numbers up to six digits: word problems Also consider: • Subtract across zeros
Lesson 19: Subtract by using the standard algorithm, decomposing larger units up to 3 times. Lesson 20: Subtract by using the standard algorithm, decomposing larger units multiple times.
1. Subtract two numbers up to six digits with regrouping 2. Subtract numbers up to six digits: word problems Also consider: • Subtract across zeros

Lesson 21: Solve two-step word problems by using addition and subtraction.		1. Two-step addition and subtraction word problems 2. Estimate sums and differences: word problems Also consider: • Comparison word problems with addition and subtraction
Lesson 21: Solve two-step word problems by using addition and subtraction.
1. Two-step addition and subtraction word problems 2. Estimate sums and differences: word problems Also consider: • Comparison word problems with addition and subtraction

Lesson 22: Solve multi-step word problems by using addition and subtraction.		1. Multi-step addition and subtraction word problems Also consider: • Addition and subtraction word problems • Use equations to solve addition and subtraction word problems
Lesson 22: Solve multi-step word problems by using addition and subtraction.
1. Multi-step addition and subtraction word problems Also consider: • Addition and subtraction word problems • Use equations to solve addition and subtraction word problems
Topic E - Metric Measurement Conversion Tables
Lesson 23: Express metric measurements of length in terms of smaller units.		1. Convert metric units of length: centimeters, meters, and kilometers 2. Add and subtract mixed metric units of length
Lesson 23: Express metric measurements of length in terms of smaller units.
1. Convert metric units of length: centimeters, meters, and kilometers 2. Add and subtract mixed metric units of length

Lesson 24: Express metric measurements of mass and liquid volume in terms of smaller units.		1. Compare and convert metric units of mass 2. Convert metric units of volume 3. Add and subtract mixed metric units of mass 4. Add and subtract mixed metric units of volume
Lesson 24: Express metric measurements of mass and liquid volume in terms of smaller units.
1. Compare and convert metric units of mass 2. Convert metric units of volume 3. Add and subtract mixed metric units of mass 4. Add and subtract mixed metric units of volume

2	Module 2 Place Value Concepts for Multiplication and Division
Topic A - Compose and Decompose Units of Ten
Lesson 1: Multiply multiples of 10 by one-digit numbers by using the associative property of multiplication.		1. Multiply by a multiple of ten using place value 2. Multiply a 1-digit number by a multiple of 10
Lesson 1: Multiply multiples of 10 by one-digit numbers by using the associative property of multiplication.
1. Multiply by a multiple of ten using place value 2. Multiply a 1-digit number by a multiple of 10

Lesson 2: Divide two- and three-digit multiples of 10 by one-digit numbers		1. Divide a 2-digit or 3-digit multiple of 10 by a 1-digit number
Lesson 2: Divide two- and three-digit multiples of 10 by one-digit numbers
1. Divide a 2-digit or 3-digit multiple of 10 by a 1-digit number

Lesson 3: Investigate and use a formula for the area of a rectangle.		1. Find the area of rectangles using formulas: side lengths up to 10 units 2. Word problems with area: side lengths up to 10 units
Lesson 3: Investigate and use a formula for the area of a rectangle.
1. Find the area of rectangles using formulas: side lengths up to 10 units 2. Word problems with area: side lengths up to 10 units
Topic B - Multiplication of Tens and Ones by One-Digit Numbers
Lesson 4: Multiply by using familiar strategies.		1. Multiply 1-digit numbers by teen numbers using grids Also consider: • Multiplication facts to 10
Lesson 4: Multiply by using familiar strategies.
1. Multiply 1-digit numbers by teen numbers using grids Also consider: • Multiplication facts to 10

Lesson 5: Multiply by using place value strategies and the distributive property. Lesson 6: Multiply with regrouping by using place value strategies and the distributive property.		1. Multiply 1-digit numbers by 2-digit numbers using the distributive property Also consider: • Multiply 1-digit numbers by teen numbers
Lesson 5: Multiply by using place value strategies and the distributive property. Lesson 6: Multiply with regrouping by using place value strategies and the distributive property.
1. Multiply 1-digit numbers by 2-digit numbers using the distributive property Also consider: • Multiply 1-digit numbers by teen numbers

Lesson 7: Multiply by using an area model and the distributive property. Lesson 8: Multiply by applying the distributive property and write equations.		1. Multiply 1-digit numbers by 2-digit numbers: choose the area model 2. Multiply 1-digit numbers by 2-digit numbers using area models Also consider: • Multiply 1-digit numbers by 2-digit numbers using partial products
Lesson 7: Multiply by using an area model and the distributive property. Lesson 8: Multiply by applying the distributive property and write equations.
1. Multiply 1-digit numbers by 2-digit numbers: choose the area model 2. Multiply 1-digit numbers by 2-digit numbers using area models Also consider: • Multiply 1-digit numbers by 2-digit numbers using partial products

Lesson 9: Solve multiplication word problems.		1. Compare numbers using multiplication: review Also consider: • Multiply 1-digit numbers by 2-digit numbers: word problems • Multiply 1-digit numbers by 2-digit numbers: multi-step word problems
Lesson 9: Solve multiplication word problems.
1. Compare numbers using multiplication: review Also consider: • Multiply 1-digit numbers by 2-digit numbers: word problems • Multiply 1-digit numbers by 2-digit numbers: multi-step word problems

Lesson 10: Multiply by applying simplifying strategies. (Optional)		1. Multiply 1-digit numbers by 2-digit numbers
Lesson 10: Multiply by applying simplifying strategies. (Optional)
1. Multiply 1-digit numbers by 2-digit numbers
Topic C - Division of Tens and Ones by One-Digit Numbers
Lesson 11: Divide by using familiar strategies.		1. Division facts to 10
Lesson 11: Divide by using familiar strategies.
1. Division facts to 10

Lesson 12: Divide two-digit numbers by one-digit numbers by using an area model.		1. Divide 2-digit numbers by 1-digit numbers using area models 2. Divide using the distributive property
Lesson 12: Divide two-digit numbers by one-digit numbers by using an area model.
1. Divide 2-digit numbers by 1-digit numbers using area models 2. Divide using the distributive property

Lesson 13: Divide three-digit numbers by one-digit numbers by using an area model.		1. Break apart 3-digit numbers to divide
Lesson 13: Divide three-digit numbers by one-digit numbers by using an area model.
1. Break apart 3-digit numbers to divide

Lesson 14: Divide two-digit numbers by one-digit numbers by using place value strategies.		1. Divide 2-digit numbers by 1-digit numbers: without remainders Also consider: • Divide 2-digit numbers by 1-digit numbers using partial quotients
Lesson 14: Divide two-digit numbers by one-digit numbers by using place value strategies.
1. Divide 2-digit numbers by 1-digit numbers: without remainders Also consider: • Divide 2-digit numbers by 1-digit numbers using partial quotients

Lesson 15: Divide three-digit numbers by one-digit numbers by using place value strategies.
Lesson 15: Divide three-digit numbers by one-digit numbers by using place value strategies.


Lesson 16: Divide by using the break apart and distribute strategy.		1. Divide 2-digit numbers by 1-digit numbers: word problems without remainders Also consider: • Divide using partial quotients
Lesson 16: Divide by using the break apart and distribute strategy.
1. Divide 2-digit numbers by 1-digit numbers: word problems without remainders Also consider: • Divide using partial quotients
Topic D - Problem Solving with Measurement
Lesson 17: Express measurements of length in terms of smaller units.		1. Convert mixed customary units of length 2. Add and subtract mixed customary units of length Also consider: • Compare and convert customary units of length
Lesson 17: Express measurements of length in terms of smaller units.
1. Convert mixed customary units of length 2. Add and subtract mixed customary units of length Also consider: • Compare and convert customary units of length

Lesson 18: Investigate and use formulas for the perimeter of a rectangle.		1. Find the perimeter of rectangles using formulas 2. Perimeter: word problems Also consider: • Understanding area and perimeter of rectangles • Find the missing side length of a rectangle
Lesson 18: Investigate and use formulas for the perimeter of a rectangle.
1. Find the perimeter of rectangles using formulas 2. Perimeter: word problems Also consider: • Understanding area and perimeter of rectangles • Find the missing side length of a rectangle

Lesson 19: Apply area and perimeter formulas to solve problems.		1. Area and perimeter: word problems Also consider: • Rectangles: relationship between perimeter and area word problems • Relationship between area and perimeter
Lesson 19: Apply area and perimeter formulas to solve problems.
1. Area and perimeter: word problems Also consider: • Rectangles: relationship between perimeter and area word problems • Relationship between area and perimeter

Lesson 20: Solve word problems involving additive and multiplicative comparisons.		1. Comparison word problems: addition or multiplication?
Lesson 20: Solve word problems involving additive and multiplicative comparisons.
1. Comparison word problems: addition or multiplication?
Topic E - Factors and Multiples
Lesson 21: Find factor pairs for numbers up to 100 and use factors to identify numbers as prime or composite.		1. Find all the factor pairs of a number 2. Prime and composite: up to 100 Also consider: • Create rectangles with a given area
Lesson 21: Find factor pairs for numbers up to 100 and use factors to identify numbers as prime or composite.
1. Find all the factor pairs of a number 2. Prime and composite: up to 100 Also consider: • Create rectangles with a given area

Lesson 22: Use division and the associative property of multiplication to find factors.		1. Identify factors 2. Divisibility rules for 2, 5, and 10 Also consider: • Multiplication facts to 10: find the missing factor • Divisibility rules: word problems
Lesson 22: Use division and the associative property of multiplication to find factors.
1. Identify factors 2. Divisibility rules for 2, 5, and 10 Also consider: • Multiplication facts to 10: find the missing factor • Divisibility rules: word problems

Lesson 23: Determine whether a whole number is a multiple of another number. Lesson 24: Recognize that a number is a multiple of each of its factors.		1. Choose the multiples of a given number up to 10 2. Multiplication input/output tables Also consider: • Complete the addition pattern
Lesson 23: Determine whether a whole number is a multiple of another number. Lesson 24: Recognize that a number is a multiple of each of its factors.
1. Choose the multiples of a given number up to 10 2. Multiplication input/output tables Also consider: • Complete the addition pattern

Lesson 25: Explore properties of prime and composite numbers up to 100 by using multiples.		1. Which number is prime or composite?
Lesson 25: Explore properties of prime and composite numbers up to 100 by using multiples.
1. Which number is prime or composite?

Lesson 26: Use relationships within a pattern to find an unknown term in the sequence.		1. Extend growing shape patterns 2. What is true about the given pattern? Also consider: • What is true about the pattern made by the rule?
Lesson 26: Use relationships within a pattern to find an unknown term in the sequence.
1. Extend growing shape patterns 2. What is true about the given pattern? Also consider: • What is true about the pattern made by the rule?

3	Module 3 Multiplication and Division of Multi-Digit Numbers
Topic A - Multiplication and Division of Multiples of Tens, Hundreds, and Thousands
Lesson 1: Divide multiples of 100 and 1000.		1. Division patterns over increasing place values: up to thousands Also consider: • Divide numbers ending in zeros by 1-digit numbers • Divide numbers ending in zeros by 1-digit numbers: complete the sentence
Lesson 1: Divide multiples of 100 and 1000.
1. Division patterns over increasing place values: up to thousands Also consider: • Divide numbers ending in zeros by 1-digit numbers • Divide numbers ending in zeros by 1-digit numbers: complete the sentence

Lesson 2: Multiply by multiples of 100 and 1000.		1. Multiplication patterns over increasing place values: up to thousands 2. Multiply by multiples of 10, 100, and 1,000 Also consider: • Multiply by multiples of 100 and 1,000: word problems • Multiply by 10 or 100
Lesson 2: Multiply by multiples of 100 and 1000.
1. Multiplication patterns over increasing place values: up to thousands 2. Multiply by multiples of 10, 100, and 1,000 Also consider: • Multiply by multiples of 100 and 1,000: word problems • Multiply by 10 or 100

Lesson 3: Multiply a two-digit multiple of 10 by a two-digit multiple of 10.		1. Multiply two multiples of ten
Lesson 3: Multiply a two-digit multiple of 10 by a two-digit multiple of 10.
1. Multiply two multiples of ten
Topic B - Division of Thousands, Hundreds, Tens, and Ones
Lesson 4: Apply place value strategies to divide hundreds, tens, and ones.		1. Divide 3-digit numbers by 1-digit numbers using area models 2. Divide 3-digit numbers by 1-digit numbers: without remainders
Lesson 4: Apply place value strategies to divide hundreds, tens, and ones.
1. Divide 3-digit numbers by 1-digit numbers using area models 2. Divide 3-digit numbers by 1-digit numbers: without remainders

Lesson 5: Apply place value strategies to divide thousands, hundreds, tens, and ones.		1. Divide 4-digit numbers by 1-digit numbers: without remainders
Lesson 5: Apply place value strategies to divide thousands, hundreds, tens, and ones.
1. Divide 4-digit numbers by 1-digit numbers: without remainders

Lesson 6: Connect pictorial representations of division to long division.		1. Divide 2-digit and 3-digit numbers by 1-digit numbers: without remainders
Lesson 6: Connect pictorial representations of division to long division.
1. Divide 2-digit and 3-digit numbers by 1-digit numbers: without remainders

Lesson 7: Represent division by using partial quotients. Lesson 8: Choose and apply a method to divide multi-digit numbers.		1. Divide 3-digit and 4-digit numbers by 1-digit numbers: without remainders 2. Divide larger numbers by 1-digit numbers: word problems without remainders
Lesson 7: Represent division by using partial quotients. Lesson 8: Choose and apply a method to divide multi-digit numbers.
1. Divide 3-digit and 4-digit numbers by 1-digit numbers: without remainders 2. Divide larger numbers by 1-digit numbers: word problems without remainders
Topic C - Multiplication of up to Four-Digit Numbers by One-Digit Numbers
Lesson 9: Apply place value strategies to multiply three-digit numbers by one-digit numbers.		1. Multiply 1-digit numbers by 3-digit numbers using area models I 2. Multiply 1-digit numbers by 3-digit numbers using area models II
Lesson 9: Apply place value strategies to multiply three-digit numbers by one-digit numbers.
1. Multiply 1-digit numbers by 3-digit numbers using area models I 2. Multiply 1-digit numbers by 3-digit numbers using area models II

Lesson 10: Apply place value strategies to multiply four-digit numbers by one-digit numbers.		1. Multiply 1-digit by 4-digit numbers using area models 2. Multiply 1-digit numbers by 3-digit or 4-digit numbers using expanded form
Lesson 10: Apply place value strategies to multiply four-digit numbers by one-digit numbers.
1. Multiply 1-digit by 4-digit numbers using area models 2. Multiply 1-digit numbers by 3-digit or 4-digit numbers using expanded form

Lesson 11: Represent multiplication by using partial products.		1. Multiply 1-digit numbers by 3-digit or 4-digit numbers using partial products Also consider: • Multiply 1-digit numbers by 2-digit or 3-digit numbers: word problems
Lesson 11: Represent multiplication by using partial products.
1. Multiply 1-digit numbers by 3-digit or 4-digit numbers using partial products Also consider: • Multiply 1-digit numbers by 2-digit or 3-digit numbers: word problems

Lesson 12: Multiply by using various recording methods in vertical form.		1. Multiply 1-digit numbers by 2-digit or 3-digit numbers 2. Multiply 1-digit numbers by 4-digit numbers Also consider: • Multiply 1-digit numbers by 3-digit or 4-digit numbers: word problems
Lesson 12: Multiply by using various recording methods in vertical form.
1. Multiply 1-digit numbers by 2-digit or 3-digit numbers 2. Multiply 1-digit numbers by 4-digit numbers Also consider: • Multiply 1-digit numbers by 3-digit or 4-digit numbers: word problems
Topic D - Multiplication of Two-Digit Numbers by Two-Digit Numbers
Lesson 13: Multiply two-digit numbers by two-digit multiples of 10.		1. Multiply a two-digit number by a multiple of ten
Lesson 13: Multiply two-digit numbers by two-digit multiples of 10.
1. Multiply a two-digit number by a multiple of ten

Lesson 14: Apply place value strategies to multiply two-digit numbers by two-digit numbers.		1. Multiply 2-digit numbers by 2-digit numbers using area models Also consider: • Multiply 2-digit numbers by 2-digit numbers: choose the area model
Lesson 14: Apply place value strategies to multiply two-digit numbers by two-digit numbers.
1. Multiply 2-digit numbers by 2-digit numbers using area models Also consider: • Multiply 2-digit numbers by 2-digit numbers: choose the area model

Lesson 15: Multiply with four partial products.		1. Multiply 2-digit numbers by 2-digit numbers using partial products
Lesson 15: Multiply with four partial products.
1. Multiply 2-digit numbers by 2-digit numbers using partial products

Lesson 16: Multiply with two partial products.		1. Multiply 2-digit numbers by 2-digit numbers using the distributive property 2. Multiply a 2-digit number by a 2-digit number: complete the missing steps
Lesson 16: Multiply with two partial products.
1. Multiply 2-digit numbers by 2-digit numbers using the distributive property 2. Multiply a 2-digit number by a 2-digit number: complete the missing steps

Lesson 17: Apply the distributive property to multiply.		1. Multiply a 2-digit number by a 2-digit number Also consider: • Multiply a 2-digit number by a 2-digit number: word problems
Lesson 17: Apply the distributive property to multiply.
1. Multiply a 2-digit number by a 2-digit number Also consider: • Multiply a 2-digit number by a 2-digit number: word problems
Topic E - Problem Solving with Measurement
Lesson 18: Express units of time in terms of smaller units.		1. Convert time units: hours, minutes, and seconds 2. Add and subtract mixed time units Also consider: • Convert mixed time units: hours, minutes, and seconds
Lesson 18: Express units of time in terms of smaller units.
1. Convert time units: hours, minutes, and seconds 2. Add and subtract mixed time units Also consider: • Convert mixed time units: hours, minutes, and seconds

Lesson 19: Express customary measurements of weight in terms of smaller units.		1. Compare and convert pounds to ounces 2. Convert, add, and subtract mixed customary units of weight
Lesson 19: Express customary measurements of weight in terms of smaller units.
1. Compare and convert pounds to ounces 2. Convert, add, and subtract mixed customary units of weight

Lesson 20: Express customary measurements of liquid volume in terms of smaller units.		1. Convert customary units of volume 2. Convert mixed customary units of volume Also consider: • Conversion tables: customary units of volume
Lesson 20: Express customary measurements of liquid volume in terms of smaller units.
1. Convert customary units of volume 2. Convert mixed customary units of volume Also consider: • Conversion tables: customary units of volume
Topic F - Remainders, Estimating, and Problem Solving
Lesson 21: Find whole-number quotients and remainders.		1. One-step word problems involving remainders 2. Divide 2-digit numbers by 1-digit numbers using arrays Also consider: • Pick the model that shows a division expression • Divide 2-digit numbers by 1-digit numbers: interpret remainders • Divide 2-digit numbers by 1-digit numbers: word problems with remainders
Lesson 21: Find whole-number quotients and remainders.
1. One-step word problems involving remainders 2. Divide 2-digit numbers by 1-digit numbers using arrays Also consider: • Pick the model that shows a division expression • Divide 2-digit numbers by 1-digit numbers: interpret remainders • Divide 2-digit numbers by 1-digit numbers: word problems with remainders

Lesson 22: Represent, estimate, and solve division word problems.		1. Divide larger numbers by 1-digit numbers: word problems 2. Estimate quotients using compatible numbers: 1-digit divisors Also consider: • Divide larger numbers by 1-digit numbers
Lesson 22: Represent, estimate, and solve division word problems.
1. Divide larger numbers by 1-digit numbers: word problems 2. Estimate quotients using compatible numbers: 1-digit divisors Also consider: • Divide larger numbers by 1-digit numbers

Lesson 23: Solve multi-step word problems and interpret remainders.		1. Multi-step word problems involving remainders Also consider: • Multi-step word problems with strip diagrams
Lesson 23: Solve multi-step word problems and interpret remainders.
1. Multi-step word problems involving remainders Also consider: • Multi-step word problems with strip diagrams

Lesson 24: Solve multi-step word problems and assess the reasonableness of solutions.		1. Use strip diagrams to represent and solve multi-step word problems 2. Multi-step word problems: identify reasonable answers
Lesson 24: Solve multi-step word problems and assess the reasonableness of solutions.
1. Use strip diagrams to represent and solve multi-step word problems 2. Multi-step word problems: identify reasonable answers

4	Module 4 Foundations for Fraction Operations
Topic A - Fraction Decomposition and Equivalence
Lesson 1: Decompose whole numbers into a sum of unit fractions.		1. Select fractions equivalent to whole numbers using models Also consider: • Find fractions equivalent to whole numbers
Lesson 1: Decompose whole numbers into a sum of unit fractions.
1. Select fractions equivalent to whole numbers using models Also consider: • Find fractions equivalent to whole numbers

Lesson 2: Decompose fractions into a sum of unit fractions.		1. Decompose fractions into unit fractions using models 2. Write a fraction as a sum of unit fractions 3. Write an improper fraction as a sum of unit fractions
Lesson 2: Decompose fractions into a sum of unit fractions.
1. Decompose fractions into unit fractions using models 2. Write a fraction as a sum of unit fractions 3. Write an improper fraction as a sum of unit fractions

Lesson 3: Decompose fractions into a sum of fractions.		1. Write a fraction as a sum of fractions 2. Write an improper fraction as a sum of fractions 3. Decompose fractions multiple ways
Lesson 3: Decompose fractions into a sum of fractions.
1. Write a fraction as a sum of fractions 2. Write an improper fraction as a sum of fractions 3. Decompose fractions multiple ways

Lesson 4: Represent fractions by using various fraction models.		1. Show fractions using fraction bars: denominators up to 12 2. Identify fractions on number lines 3. Graph fractions on number lines Also consider: • Show fractions using area models: denominators up to 12
Lesson 4: Represent fractions by using various fraction models.
1. Show fractions using fraction bars: denominators up to 12 2. Identify fractions on number lines 3. Graph fractions on number lines Also consider: • Show fractions using area models: denominators up to 12

Lesson 5: Rename fractions greater than 1 as mixed numbers.		1. Convert improper fractions to mixed numbers Also consider: • Identify mixed numbers
Lesson 5: Rename fractions greater than 1 as mixed numbers.
1. Convert improper fractions to mixed numbers Also consider: • Identify mixed numbers

Lesson 6: Rename mixed numbers as fractions greater than 1.		1. Convert mixed numbers to improper fractions Also consider: • Convert between improper fractions and mixed numbers
Lesson 6: Rename mixed numbers as fractions greater than 1.
1. Convert mixed numbers to improper fractions Also consider: • Convert between improper fractions and mixed numbers
Topic B - Equivalent Fractions
Lesson 7: Rename fractions as a sum of equivalent smaller unit fractions.		1. Graph equivalent fractions on number lines: unit fractions
Lesson 7: Rename fractions as a sum of equivalent smaller unit fractions.
1. Graph equivalent fractions on number lines: unit fractions

Lesson 8: Generate equivalent fractions with smaller units for unit fractions. Lesson 9: Generate equivalent fractions with smaller units for non-unit fractions.		1. Find equivalent fractions using multiplication
Lesson 8: Generate equivalent fractions with smaller units for unit fractions. Lesson 9: Generate equivalent fractions with smaller units for non-unit fractions.
1. Find equivalent fractions using multiplication

Lesson 10: Generate equivalent fractions with larger units.		1. Write fractions in lowest terms Also consider: • Find equivalent fractions using area models
Lesson 10: Generate equivalent fractions with larger units.
1. Write fractions in lowest terms Also consider: • Find equivalent fractions using area models

Lesson 11: Represent equivalent fractions by using tape diagrams, number lines, and multiplication or division.		1. Graph equivalent fractions on number lines Also consider: • Identify the equivalent fraction • Equivalent fractions: find the missing numerator or denominator
Lesson 11: Represent equivalent fractions by using tape diagrams, number lines, and multiplication or division.
1. Graph equivalent fractions on number lines Also consider: • Identify the equivalent fraction • Equivalent fractions: find the missing numerator or denominator

Lesson 12: Generate equivalent fractions for fractions greater than 1 and generate equivalent mixed numbers.		1. Graph equivalent fractions on number lines: fractions greater than 1
Lesson 12: Generate equivalent fractions for fractions greater than 1 and generate equivalent mixed numbers.
1. Graph equivalent fractions on number lines: fractions greater than 1
Topic C - Compare Fractions
Lesson 13: Compare fractions by using the benchmarks 0, 1/2, and 1.		1. Compare fractions using one-half as a benchmark Also consider: • Compare fractions using benchmarks: find the missing numerator
Lesson 13: Compare fractions by using the benchmarks 0, 1/2, and 1.
1. Compare fractions using one-half as a benchmark Also consider: • Compare fractions using benchmarks: find the missing numerator

Lesson 14: Compare fractions with related denominators.		1. Compare fractions using equivalent fractions Also consider: • Compare fractions with like numerators or denominators • Compare fractions using models • Compare fractions: find the missing numerator or denominator
Lesson 14: Compare fractions with related denominators.
1. Compare fractions using equivalent fractions Also consider: • Compare fractions with like numerators or denominators • Compare fractions using models • Compare fractions: find the missing numerator or denominator

Lesson 15: Compare fractions with related numerators.
Lesson 15: Compare fractions with related numerators.


Lesson 16: Generate a common numerator or denominator to compare fractions.		1. Compare fractions with unrelated denominators
Lesson 16: Generate a common numerator or denominator to compare fractions.
1. Compare fractions with unrelated denominators

Lesson 17: Apply fraction comparison strategies to compare fractions greater than 1.		1. Compare mixed numbers and improper fractions Also consider: • Compare fractions using benchmarks
Lesson 17: Apply fraction comparison strategies to compare fractions greater than 1.
1. Compare mixed numbers and improper fractions Also consider: • Compare fractions using benchmarks
Topic D - Add and Subtract Fractions
Lesson 18: Estimate sums and differences of fractions by using benchmarks.		1. Estimate sums and differences of fractions using benchmarks
Lesson 18: Estimate sums and differences of fractions by using benchmarks.
1. Estimate sums and differences of fractions using benchmarks

Lesson 19: Add and subtract fractions with like units.		1. Add and subtract fractions with like denominators using number lines 2. Add and subtract fractions with like denominators Also consider: • Add fractions with like denominators using number lines • Subtract fractions with like denominators using number lines • Add fractions with like denominators • Add 3 or more fractions with like denominators
Lesson 19: Add and subtract fractions with like units.
1. Add and subtract fractions with like denominators using number lines 2. Add and subtract fractions with like denominators Also consider: • Add fractions with like denominators using number lines • Subtract fractions with like denominators using number lines • Add fractions with like denominators • Add 3 or more fractions with like denominators

Lesson 20: Subtract a fraction from a whole number.		1. Subtract fractions from whole numbers Also consider: • Subtract fractions with like denominators
Lesson 20: Subtract a fraction from a whole number.
1. Subtract fractions from whole numbers Also consider: • Subtract fractions with like denominators

Lesson 21: Solve addition and subtraction word problems and estimate the reasonableness of the answers.		1. Add and subtract fractions with like denominators: word problems Also consider: • Add and subtract fractions with like denominators in recipes
Lesson 21: Solve addition and subtraction word problems and estimate the reasonableness of the answers.
1. Add and subtract fractions with like denominators: word problems Also consider: • Add and subtract fractions with like denominators in recipes

Lesson 22: Add two fractions with related units. (Optional)		1. Add fractions with unlike denominators Also consider: • Add fractions with unlike denominators using models
Lesson 22: Add two fractions with related units. (Optional)
1. Add fractions with unlike denominators Also consider: • Add fractions with unlike denominators using models
Topic E - Add and Subtract Mixed Numbers
Lesson 23: Add a fraction to a mixed number.		1. Add a fraction and a mixed number
Lesson 23: Add a fraction to a mixed number.
1. Add a fraction and a mixed number

Lesson 24: Add a mixed number to a mixed number.		1. Add mixed numbers with like denominators: with regrouping 2. Break apart fractions and mixed numbers to add Also consider: • Add mixed numbers with like denominators: without regrouping • Add fractions and mixed numbers using properties
Lesson 24: Add a mixed number to a mixed number.
1. Add mixed numbers with like denominators: with regrouping 2. Break apart fractions and mixed numbers to add Also consider: • Add mixed numbers with like denominators: without regrouping • Add fractions and mixed numbers using properties

Lesson 25: Subtract a fraction from a mixed number, part 1. Lesson 26: Subtract a fraction from a mixed number, part 2.		1. Subtract a fraction from a mixed number
Lesson 25: Subtract a fraction from a mixed number, part 1. Lesson 26: Subtract a fraction from a mixed number, part 2.
1. Subtract a fraction from a mixed number

Lesson 27: Subtract a mixed number from a mixed number.		1. Subtract mixed numbers without regrouping 2. Subtract mixed numbers with regrouping 3. Break apart fractions and mixed numbers to subtract Also consider: • Estimate sums and differences of mixed numbers
Lesson 27: Subtract a mixed number from a mixed number.
1. Subtract mixed numbers without regrouping 2. Subtract mixed numbers with regrouping 3. Break apart fractions and mixed numbers to subtract Also consider: • Estimate sums and differences of mixed numbers

Lesson 28: Represent and solve word problems with mixed numbers by using drawings and equations.		1. Add and subtract mixed numbers with like denominators: word problems Also consider: • Add and subtract mixed numbers with like denominators in recipes
Lesson 28: Represent and solve word problems with mixed numbers by using drawings and equations.
1. Add and subtract mixed numbers with like denominators: word problems Also consider: • Add and subtract mixed numbers with like denominators in recipes

Lesson 29: Solve problems by using data from a line plot. Lesson 30: Represent data on a line plot.		1. Create and interpret line plots with fractions Also consider: • Create line plots with whole numbers
Lesson 29: Solve problems by using data from a line plot. Lesson 30: Represent data on a line plot.
1. Create and interpret line plots with fractions Also consider: • Create line plots with whole numbers
Topic F - Repeated Addition of Fractions as Multiplication
Lesson 31: Decompose non-unit fractions into a product of a whole number and a unit fraction.		1. Multiples of unit fractions: find the missing numbers Also consider: • Multiply unit fractions by whole numbers using number lines
Lesson 31: Decompose non-unit fractions into a product of a whole number and a unit fraction.
1. Multiples of unit fractions: find the missing numbers Also consider: • Multiply unit fractions by whole numbers using number lines

Lesson 32: Multiply a fraction by a whole number by using the associative property.		1. Multiply fractions by whole numbers using number lines 2. Multiples of fractions: find the missing numbers 3. Multiply fractions by whole numbers Also consider: • Multiply fractions by whole numbers using models: complete the equation
Lesson 32: Multiply a fraction by a whole number by using the associative property.
1. Multiply fractions by whole numbers using number lines 2. Multiples of fractions: find the missing numbers 3. Multiply fractions by whole numbers Also consider: • Multiply fractions by whole numbers using models: complete the equation

Lesson 33: Solve word problems involving multiplication of a fraction by a whole number.		1. Multiply fractions by whole numbers: word problems Also consider: • Multiply fractions by whole numbers: sorting
Lesson 33: Solve word problems involving multiplication of a fraction by a whole number.
1. Multiply fractions by whole numbers: word problems Also consider: • Multiply fractions by whole numbers: sorting

Lesson 34: Multiply a mixed number by a whole number by using the distributive property.		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 34: Multiply a mixed number by a whole number by using the distributive property.
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

5	Module 5 Place Value Concepts for Decimal Fractions
Topic A - Exploration of Tenths
Lesson 1: Organize, count, and represent a collection of money.		1. Count pennies, dimes, and $1 and $10 bills
Lesson 1: Organize, count, and represent a collection of money.
1. Count pennies, dimes, and $1 and $10 bills

Lesson 2: Decompose 1 one and express tenths in fraction form and decimal form.		1. Graph tenths on a number line: numbers less than 1 2. Convert between fractions and decimals: tenths
Lesson 2: Decompose 1 one and express tenths in fraction form and decimal form.
1. Graph tenths on a number line: numbers less than 1 2. Convert between fractions and decimals: tenths

Lesson 3: Represent tenths as a place value unit.		1. Model tenths
Lesson 3: Represent tenths as a place value unit.
1. Model tenths

Lesson 4: Write mixed numbers in decimal form with tenths.		1. Model tenths with decimals and mixed numbers 2. Convert between mixed numbers and decimals: tenths Also consider: • Graph tenths on a number line: fractions and mixed numbers • Convert decimals between standard and expanded form: tenths
Lesson 4: Write mixed numbers in decimal form with tenths.
1. Model tenths with decimals and mixed numbers 2. Convert between mixed numbers and decimals: tenths Also consider: • Graph tenths on a number line: fractions and mixed numbers • Convert decimals between standard and expanded form: tenths
Topic B - Tenths and Hundredths
Lesson 5: Decompose 1 one and express hundredths in fraction form and decimal form.		1. Graph hundredths on a number line: numbers less than 1 2. Convert between fractions and decimals: hundredths
Lesson 5: Decompose 1 one and express hundredths in fraction form and decimal form.
1. Graph hundredths on a number line: numbers less than 1 2. Convert between fractions and decimals: hundredths

Lesson 6: Represent hundredths as a place value unit.		1. Model hundredths 2. Convert between fractions and decimals Also consider: • One-tenth or one-hundredth more or less • Relate decimals and money
Lesson 6: Represent hundredths as a place value unit.
1. Model hundredths 2. Convert between fractions and decimals Also consider: • One-tenth or one-hundredth more or less • Relate decimals and money

Lesson 7: Write mixed numbers in decimal form with hundredths.		1. Model hundredths with decimals and mixed numbers 2. Convert between decimals and mixed numbers: tenths and hundredths Also consider: • Graph hundredths on a number line: fractions and mixed numbers
Lesson 7: Write mixed numbers in decimal form with hundredths.
1. Model hundredths with decimals and mixed numbers 2. Convert between decimals and mixed numbers: tenths and hundredths Also consider: • Graph hundredths on a number line: fractions and mixed numbers

Lesson 8: Represent decimal numbers in expanded form.		1. Value of a digit in a decimal number Also consider: • Convert decimals between standard and expanded form • Place value models for decimal numbers
Lesson 8: Represent decimal numbers in expanded form.
1. Value of a digit in a decimal number Also consider: • Convert decimals between standard and expanded form • Place value models for decimal numbers
Topic C - Comparison of Decimal Numbers
Lesson 9: Compare measurements expressed as decimal numbers.		1. Compare decimals between 0 and 1
Lesson 9: Compare measurements expressed as decimal numbers.
1. Compare decimals between 0 and 1

Lesson 10: Use pictorial representations to compare decimal numbers.		1. Compare decimals using models 2. Compare decimals on number lines 3. Compare decimal numbers
Lesson 10: Use pictorial representations to compare decimal numbers.
1. Compare decimals using models 2. Compare decimals on number lines 3. Compare decimal numbers

Lesson 11: Compare and order decimal numbers.		1. Put decimal numbers in order I 2. Put decimal numbers in order II Also consider: • Compare decimals and fractions • Compare decimals and fractions on number lines
Lesson 11: Compare and order decimal numbers.
1. Put decimal numbers in order I 2. Put decimal numbers in order II Also consider: • Compare decimals and fractions • Compare decimals and fractions on number lines
Topic D - Addition of Tenths and Hundredths
Lesson 12: Apply fraction equivalence to add tenths and hundredths.		1. Add tenths and hundredths: sums less than 1 Also consider: • Fractions with denominators of 10 and 100 • Identify fraction expressions with a particular sum: denominators of 10 and 100
Lesson 12: Apply fraction equivalence to add tenths and hundredths.
1. Add tenths and hundredths: sums less than 1 Also consider: • Fractions with denominators of 10 and 100 • Identify fraction expressions with a particular sum: denominators of 10 and 100

Lesson 13: Apply fraction equivalence to add mixed numbers with tenths and hundredths.		1. Add fractions: denominators 10 and 100 Also consider: • Proper fractions and mixed numbers with denominators of 10 and 100
Lesson 13: Apply fraction equivalence to add mixed numbers with tenths and hundredths.
1. Add fractions: denominators 10 and 100 Also consider: • Proper fractions and mixed numbers with denominators of 10 and 100

Lesson 14: Solve word problems with tenths and hundredths.		1. Add decimals: word problems with metric units Also consider: • Convert between fractions, mixed numbers, and decimals: tenths and hundredths
Lesson 14: Solve word problems with tenths and hundredths.
1. Add decimals: word problems with metric units Also consider: • Convert between fractions, mixed numbers, and decimals: tenths and hundredths

6	Module 6 Angle Measurements and Plane Figures
Topic A - Lines and Angles
Lesson 1: Identify and draw points, lines, line segments, rays, and angles.		1. Points, lines, line segments, rays, and angles
Lesson 1: Identify and draw points, lines, line segments, rays, and angles.
1. Points, lines, line segments, rays, and angles

Lesson 2: Identify right, acute, obtuse, and straight angles. Lesson 3: Draw right, acute, obtuse, and straight angles.		1. Acute, right, obtuse, and straight angles Also consider: • Angles greater than, less than, or equal to a right angle
Lesson 2: Identify right, acute, obtuse, and straight angles. Lesson 3: Draw right, acute, obtuse, and straight angles.
1. Acute, right, obtuse, and straight angles Also consider: • Angles greater than, less than, or equal to a right angle

Lesson 4: Identify, define, and draw perpendicular lines.		1. Identify perpendicular lines
Lesson 4: Identify, define, and draw perpendicular lines.
1. Identify perpendicular lines

Lesson 5: Identify, define, and draw parallel lines.		1. Identify parallel lines
Lesson 5: Identify, define, and draw parallel lines.
1. Identify parallel lines

Lesson 6: Relate geometric figures to a real-world context.		1. Identify parallel, perpendicular, and intersecting lines 2. Acute, right, and obtuse angles
Lesson 6: Relate geometric figures to a real-world context.
1. Identify parallel, perpendicular, and intersecting lines 2. Acute, right, and obtuse angles
Topic B - Angle Measurement
Lesson 7: Explore angles as fractional turns through a circle.		1. Angles as fractions of a circle
Lesson 7: Explore angles as fractional turns through a circle.
1. Angles as fractions of a circle

Lesson 8: Use a circular protractor to recognize a 1° angle as a turn through 1/360 of a circle.		1. Measure angles on a circle 2. Use fractions to find the measure of an angle
Lesson 8: Use a circular protractor to recognize a 1° angle as a turn through 1/360 of a circle.
1. Measure angles on a circle 2. Use fractions to find the measure of an angle

Lesson 9: Identify and measure angles as turns and recognize them in various contexts.		1. Angles of 90, 180, 270, and 360 degrees
Lesson 9: Identify and measure angles as turns and recognize them in various contexts.
1. Angles of 90, 180, 270, and 360 degrees

Lesson 10: Use 180° protractors to measure angles.		1. Measure angles with a protractor
Lesson 10: Use 180° protractors to measure angles.
1. Measure angles with a protractor

Lesson 11: Estimate and measure angles with a 180° protractor.		1. Estimate angle measurements
Lesson 11: Estimate and measure angles with a 180° protractor.
1. Estimate angle measurements

Lesson 12: Use a protractor to draw angles up to 180°.		1. Draw angles with a protractor
Lesson 12: Use a protractor to draw angles up to 180°.
1. Draw angles with a protractor
Topic C - Determine Unknown Angle Measures
Lesson 13: Decompose angles by using pattern blocks.
Lesson 13: Decompose angles by using pattern blocks.


Lesson 14: Find unknown angle measures within right and straight angles.		1. Complementary and supplementary angles: find the missing measure
Lesson 14: Find unknown angle measures within right and straight angles.
1. Complementary and supplementary angles: find the missing measure

Lesson 15: Find unknown angle measures within a decomposed angle of up to 180°.		1. Adjacent angles Also consider: • Angle measures: word problems
Lesson 15: Find unknown angle measures within a decomposed angle of up to 180°.
1. Adjacent angles Also consider: • Angle measures: word problems

Lesson 16: Find unknown angle measures around a point.		1. Missing angles in circles
Lesson 16: Find unknown angle measures around a point.
1. Missing angles in circles
Topic D - Two-Dimensional Figures and Symmetry
Lesson 17: Recognize, identify, and draw lines of symmetry.		1. Identify lines of symmetry 2. Draw lines of symmetry 3. Count lines of symmetry
Lesson 17: Recognize, identify, and draw lines of symmetry.
1. Identify lines of symmetry 2. Draw lines of symmetry 3. Count lines of symmetry

Lesson 18: Analyze and classify triangles based on side length, angle measures, or both.		1. Acute, obtuse, and right triangles 2. Scalene, isosceles, and equilateral triangles
Lesson 18: Analyze and classify triangles based on side length, angle measures, or both.
1. Acute, obtuse, and right triangles 2. Scalene, isosceles, and equilateral triangles

Lesson 19: Construct and classify triangles based on given attributes.		1. Classify triangles
Lesson 19: Construct and classify triangles based on given attributes.
1. Classify triangles

Lesson 20: Sort polygons based on a given rule.		1. Parallel sides in quadrilaterals 2. Sides and angles of quadrilaterals Also consider: • Identify trapezoids • Classify quadrilaterals • Identify parallelograms • Draw quadrilaterals
Lesson 20: Sort polygons based on a given rule.
1. Parallel sides in quadrilaterals 2. Sides and angles of quadrilaterals Also consider: • Identify trapezoids • Classify quadrilaterals • Identify parallelograms • Draw quadrilaterals

This document includes the IXL® skill alignments to Great Minds PBC's Eureka Math² 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 Great Minds PBC 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.