TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 1: Place Value, Rounding, and Algorithms for Addition and Subtraction
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic A: Place Value of Multi-Digit Whole
Numbers
Lesson 1
Interpret a multiplication
equation as a
comparison.
4.OA.1 (Understanding Multiplicative
Comparison)
Exploring PlaceLandia
Focus 2: Parts of a Multiplicative
Comparison
Lesson 2
Recognize a digit
represents 10 times the
value of what it
Relating Place Value and
Multiples of 10
4.NBT.1 (Place Value and the
Magnitude of Products)
Relating Place Value and
Multiples of 10
Multiplying by Powers of Ten
Focus 1: Understanding Magnitude
Using Base-Ten Blocks
Magic of 10
Focus 2: Understanding Magnitude
Using Money
Identifying the Relationship
Between the Digits in Each
Place
Multiplying a number (1 - 100) by
10, 100, and 1000
SLA 4.NBT.1
Building Multiples of Ten Using
Base Ten Blocks
Focus 3: Using Inverse Operations to
Demonstrate Magnitude
Focus 4: Understanding Products with
10
Lesson 3
Name numbers within 1
million by building
understanding of the
place value chart and
State Numbers: Expanded,
Word, Visual, and Standard
Forms
4.NBT.2 (Reading, Writing, and
Comparing Multi-Digit Numbers)
Place Value to the
Hundred Thousands
Place
Standard Form to Word and
Expanded Forms
Express Numbers: Standard or
Expanded Form to Words
Focus 3: Reading and Writing Numbers
in Word Form
Expressing Numbers in
Expanded Form
Word Form to Standard and
Expanded Forms
Express Numbers: Standard or
Word Form to Expanded Form
Lesson 4
Read and write multi-digit
numbers using base ten
numerals, number
Standard, Expanded, and Word
Form Using Base Ten Blocks
4.NBT.2 (Reading, Writing, and
Comparing Multi-Digit Numbers)
Focus 1: Reading and Writing Numbers
in Standard Form
Focus 2: Reading and Writing Numbers
in Expanded Form
Focus 6: Writing Numbers with Zeros in
Standard, Expanded, and Word Forms
Topic B: Comparing Multi-Digit Whole
Numbers
Lesson 5
Comparing Whole Numbers
4.NBT.2 (Reading, Writing, and
Comparing Multi-Digit Numbers)
Comparing Whole
Numbers
Comparing Numbers Up to 1
Million Using Symbols and
Words
SLA 4.NBT.2
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 1: Place Value, Rounding, and Algorithms for Addition and Subtraction
EngageNY Lessons
TenMarks Resources
Assignments
Ordering Numbers
Lessons
Focus 4: Comparing Two Multi-Digit
Numbers By Using Symbols
Amplifiers
Compare and Order
Numbers
Focus 5: Solving Comparison Problems
Videos
Jam Sessions
Labs
Assessments
Comparing Two Forms Up to 1
Million Using Symbols and
Words
Ordering Multi-Digit Numbers
Using a Place Value Chart
Compare and Order Numbers
(up to 100,000)
Lesson 6
Find 1, 10, and 100
thousand more and less
than a given number.
Topic C: Rounding Multi-Digit Whole
Numbers
Lesson 7
Round multi-digit
numbers to the
thousands place using
Rounding Whole Numbers
Using Representations
4.NBT.3 (Rounding Multi-Digit Whole
Numbers to Any Place)
Rounding Numbers
Focus 2: Rounding Multi-Digit Numbers
Using a Number Line
Rounding Using Base Ten
Blocks and a Place Value Chart
Rounding Using a Hundreds
Chart
Rounding Using Number Lines
and Rounding Hills
Lesson 8
Round multi-digit
numbers to any place
using the vertical number
Rounding Whole Numbers
4.NBT.3 (Rounding Multi-Digit Whole
Numbers to Any Place)
Rounding Numbers
Focus 4: Rounding Multi-Digit Numbers
Involving Nines
Rounding Using Base Ten
Blocks and a Place Value Chart
Rounding to the Nearest Ten or
Hundred Using Place Value
Rounding Using Number Lines
and Rounding Hills
Lesson 9
Use place value
understanding to round
multi-digit numbers to
4.NBT.3 (Rounding Multi-Digit Whole
Numbers to Any Place)
Focus 3: Rounding Multi-Digit Numbers
without Visuals
Lesson 10
Use place value
understanding to round
multi-digit numbers to
Estimating Sums and
Differences
4.NBT.3 (Rounding Multi-Digit Whole
Numbers to Any Place)
Estimating Sums and
Differences
Estimating the Sum of Two MultiDigit Numbers
Estimating Products and
Quotients
Focus 5: Estimating Word Problems
with Rounding – Addition and Division
Estimating Products and
Quotients
Estimating the Difference of
Two Multi-Digit Numbers
Focus 6: Estimating Word Problems
with Rounding – Multiplication and
Subtraction
Estimating the Product of Two
Numbers
Estimating the Quotient of Two
Numbers
Topic D: Multi-Digit Whole Number
Addition
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 1: Place Value, Rounding, and Algorithms for Addition and Subtraction
EngageNY Lessons
Lesson 11
TenMarks Resources
Assignments
Use place value
understanding to fluently
add multi-digit whole
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
4.NBT.4 (Using Standard Algorithms
for Addition and Subtraction)
Focus 1: Addition Algorithm: Base-Ten
Blocks with a Written Record
Focus 2: Addition Algorithm:
Comparing Written Records
Focus 3: Addition Algorithm: Error
Analysis
Lesson 12
Solve multi-step word
problems using the
standard addition
Estimating Sums and
Differences
4.NBT.3 (Rounding Multi-Digit Whole
Numbers to Any Place)
Estimating Sums and
Differences
Estimating the Sum of Two MultiDigit Numbers
Estimating Products and
Quotients
Focus 5: Estimating Word Problems
with Rounding – Addition and Division
Estimating Products and
Quotients
Estimating the Difference of
Two Multi-Digit Numbers
Focus 6: Estimating Word Problems
with Rounding – Multiplication and
Subtraction
SLA 4.NBT.3
Estimating the Product of Two
Numbers
Estimating the Quotient of Two
Numbers
Topic E: Multi-Digit Whole Number
Subtraction
Lesson 13
Use place value
understanding to
decompose to smaller
4.NBT.4 (Using Standard Algorithms
for Addition and Subtraction)
Focus 4: Subtraction Algorithm: BaseTen Blocks with a Written Record
Focus 5: Subtraction Algorithm:
Comparing Written Records
Lesson 14
Use place value
understanding to
decompose to smaller
4.NBT.4 (Using Standard Algorithms
for Addition and Subtraction)
Focus 6: Subtraction Algorithm:
Trading Across Zeros
Lesson 15
Use place value
understanding to fluently
decompose to smaller
Addition and Subtraction Using
Standard Algorithm
4.NBT.4 (Using Standard Algorithms
for Addition and Subtraction)
Three-Digit Addition
Using Regrouping
Addition Using Standard
Algorithm
Add Within 10,000
Focus 7: Subtraction Algorithm: Error
Analysis
Subtract Three-Digit
Numbers Using
Regrouping
Subtraction Using Standard
Algorithm
Subtract Within 10,000
SLA 4.NBT.4
Identifying the Missing Number
in a 3-Digit Subtraction Problem
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 1: Place Value, Rounding, and Algorithms for Addition and Subtraction
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Identifying the Missing Number
in an Addition Sentence
Lesson 16
Solve two-step word
problems using the
standard subtraction
4.OA.3 (Solving Problems with the
Four Operations)
Focus 1: Estimating Solutions to Word
Problems
Topic F: Addition and Subtraction Word
Problems
Lesson 17
Lesson 18
Solve additive compare
word problems modeled
with tape diagrams.
Solve multi-step word
problems modeled with
tape diagrams and
4.OA.3 (Solving Problems with the
Four Operations)
Focus 3: Solving a Multistep Word
Problem
Lesson 19
Create and solve multistep word problems from
given tape diagrams and
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 2: Unit Conversions and Problem Solving with Metric Measurement
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic A: Metric Unit Conversions
Lesson 1
Express metric length
measurements in terms
of a smaller unit; model
Metric Length
4.MD.1 (Introduction to Unit
Conversions)
Metric Units of Length
Focus 2: Converting Metric Lengths
Lesson 2
Lesson 3
Express metric mass
measurements in terms
of a smaller unit; model
Express metric capacity
measurements in terms
of a smaller unit; model
4.MD.1 (Introduction to Unit
Conversions)
Estimating Measures Using
Metric Units
Converting Metric Units of
Length
Metric Units of Weight
Converting Metric Units of
Weight
Metric Units of Capacity
Converting Metric Units of
Capacity
Focus 7: Converting Metric Volume and
Mass with Fractions and Decimals
Topic B: Application of Metric Unit
Conversions
Lesson 4
Know and relate metric
units to place value units
in order to express
4.MD.1 (Introduction to Unit
Conversions)
Focus 1: Introduction to Conversions in
the Metric System
Lesson 5
Use addition and
subtraction to solve multistep word problems
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 3: Multi-Digit Multiplication and Division
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic A: Multiplicative Comparison Word
Problems
Lesson 1
Investigate and use the
formulas for area and
perimeter of rectangles.
4.MD.3 (Finding and Using Area and
Perimeter Formulas of Rectangles)
Focus 1: Deriving Formula for Area of a
Rectangle
Focus 3: Deriving Formula for
Perimeter of a Rectangle
Lesson 2
Solve multiplicative
comparison word
problems by applying the
Relate: Multiply & Divide,
Multiply & Add
4.MD.3 (Finding and Using Area and
Perimeter Formulas of Rectangles)
Understanding
Multiplicative
Comparisons
Relating Multiplication and
Addition
Multiplication and Division to
Solve Word Problems
Focus 2: Applying Area Formula to
Solve a Problem
Comparing with Multiplication
and Comparing with Addition
Focus 4: Applying Perimeter Formula to
Solve Problems
Identifying Related
Multiplication & Division
Sentences
4.OA.1 (Understanding Multiplicative
Comparison)
Solving Multiplication
Comparison Problems Using
Division
Focus 1: Multiplying to Find Twice as
Much
4.OA.2 (Solving Problems with
Multiplicative Comparison)
Focus 3: Building Bigger Block Towers:
Multiplicative Comparison with a Larger
Unknown
Focus 4: Building Smaller Block
Towers: Multiplicative Comparison with
a Smaller Unknown
Focus 5: Building Block Towers:
Comparison Factor Unknown
Topic B: Multiplication by 10, 100, and
1,000
Lesson 4
Lesson 5
Lesson 6
Interpret and represent
patterns when
multiplying by 10, 100,
Multiply multiples of 10,
100, and 1,000 by single
digits, recognizing
Multiply two-digit
multiples of 10 by twodigit multiples of 10 with
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 3: Multi-Digit Multiplication and Division
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic C: Multiplication of up to Four
Digits by Single-Digit Numbers
Lesson 7
Use place value disks to
represent two-digit by
one-digit multiplication.
Basic Multiplication Review with
Arrays
Multiplying Two-Digit
Numbers Using Arrays
Using an Array to Multiply a 1Digit by a 1- or 2-Digit Number
Using an Array to Solve a
Multiplication Word Problem
Lesson 8
Lesson 9
Lesson 10
Extend the use of place
value disks to represent
three- and four-digit by
Multiply three- and fourdigit numbers by onedigit numbers applying
Multiply three- and fourdigit numbers by onedigit numbers applying
Multiply 1-Digit and 3Digit Numbers
Multiply 1-Digit and 4Digit Numbers
Lesson 11
Connect the area model
and the partial products
method to the standard
algorithm.
4.NBT.5 (Strategies for Multi-Digit
Multiplication)
Multiplying a Multi-Digit Number
by a 1-Digit Number Using
Partial Products
Focus 4: Multi-Digit Multiplication with
Area Models and the Distributive
Property
Multiplying a Multi-Digit Number
by a 1-Digit Number Using
Partial Products
Focus 6: Recording Partial Products for
Multi-Digit Multiplication
Topic D: Multiplication Word Problems
Lesson 12
Solve two-step word
problems, including
multiplicative
Understanding Multiplicative
Comparisons
4.OA.1 (Understanding Multiplicative
Comparison)
Understanding
Multiplicative
Comparisons
Multiplicative Comparisons
Focus 3: Matching Equations and
Comparison Statements
Focus 4: Multiplicative Comparison
Puzzle
Focus 5: Commutative, Multiplicative
Monkeys
Lesson 13
Use multiplication,
addition, or subtraction
to solve multi-step word
4.OA.3 (Solving Problems with the
Four Operations)
Focus 3: Solving a Multistep Word
Problem
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 3: Multi-Digit Multiplication and Division
TenMarks Resources
EngageNY Lessons
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic E: Division of Tens and Ones with
Successive Remainders
Lesson 14
Solve division word
problems with
remainders.
4.NBT.6 (Strategies for 4-by-1 Division
with Remainders)
Focus 5: Understanding Quotients and
Remainders
Lesson 15
Lesson 16
Lesson 17
Lesson 18
Lesson 19
Lesson 20
Lesson 21
Understand and solve
division problems with a
remainder using the
Understand and solve
two-digit dividend
division problems with a
Represent and solve
division problems
requiring decomposing a
Find whole number
quotients and
remainders.
Explain remainders by
using place value
understanding and
Solve division problems
without remainders using
the area model.
Solve division problems
with remainders using
the area model.
Divide 2-Digit Numbers
by 1-Digit Numbers
Topic F: Reasoning with Divisibility
Lesson 22
Find factor pairs for
numbers to 100 and use
understanding of factors
Factors
4.OA.4 (Factors and Multiples)
Identifying Factors of a
Number
Identifying Factors of Numbers
Understanding Prime and
Composite Numbers
Focus 2: Finding Factor Pairs for
Numbers Within 100
Understanding Prime
Numbers
Identifying Missing Factors
using Factor Pairs
Focus 3: Introduction to Prime and
Composite Numbers
Mystery Rules
Identifying the Missing Factor
Using Place Value
Identifying Prime and
Composite Whole Numbers (1100)
Lesson 23
Use division and the
associative property to
test for factors and
4.OA.4 (Factors and Multiples)
Focus 4: Prime and Composite
Numbers with Rectangles
Lesson 24
Determine whether a
whole number is a
multiple of another
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4.OA.4 (Factors and Multiples)
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 3: Multi-Digit Multiplication and Division
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Focus 5: Multiples of 1-Digit Numbers
Lesson 25
Explore properties of
prime and composite
numbers to 100 by using
Multiples and Divisibility
4.OA.4 (Factors and Multiples)
Divisibility Rules for
Whole Numbers
Identifying Multiples of OneDigit Numbers
Focus 6: Is It a Multiple?
Identifying Factors of a
Number
Identifying Factors of Numbers
SLA 4.OA.4
Topic G: Division of Thousands,
Hundreds, Tens, and Ones
Lesson 26
Lesson 27
Lesson 28
Divide multiples of 10,
100, and 1,000 by singledigit numbers.
Represent and solve
division problems with up
to a three-digit dividend
Represent and solve
three-digit dividend
division with divisors of 2,
4.NBT.6 (Strategies for 4-by-1 Division Using Partial Quotients to
with Remainders)
Solve Division Problems
Divide 3-Digit Numbers
by 1-Digit Numbers
Focus 1: Place Value Strategies for
Division
Lesson 29
Represent numerically
four-digit dividend
division with divisors of 2,
Understanding Division Using
Models and Strategies
4.NBT.6 (Strategies for 4-by-1 Division Dividing Using Place
with Remainders)
Value
Using Partial Quotients to Divide Divide 4-Digit Numbers
by a 1-Digit Number
by 1-Digit Numbers
Focus 2: Partial Quotients for Division Part 1
Using Partial Quotients to Using an Area Model to Divide
Solve Division Problems
by a 1-Digit Number
Focus 3: Partial Quotients for Division Part 2
Using Place Value to Divide 4Digit by 1-Digit Numbers
Focus 4: Area Models for Division
Lesson 30
Lesson 31
Solve division problems
with a zero in the
dividend or with a zero in
Interpret division word
problems as either
number of groups
Solve Word Problems Involving
Division
Using Partial Quotients to Solving Division Word Problems
Solve Division Problems
Using the Quotative Model
Solving Division Word Problems
Using the Partitive Model
Lesson 32
Interpret and find whole
number quotients and
remainders to solve one-
Solve Problems Using the Four
Operations (No Estimation)
4.OA.3 (Solving Problems with the
Four Operations)
Solving Multi-Step Word
Problems
Solving Multi-Step Word
Problems
Focus 4: Interpreting the Remainder Part 1
Focus 5: Interpreting the Remainder Part 2
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 3: Multi-Digit Multiplication and Division
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Lesson 33
Explain the connection of
the area model of
division to the long
Topic H: Multiplication of Two-Digit by
Two-Digit Numbers
Lesson 34
Multiply two-digit
multiples of 10 by twodigit numbers using a
Base Ten Blocks to Multiply
4.NBT.5 (Strategies for Multi-Digit
Multiplication)
Using Base 10 Blocks to
Multiply
Focus 2: Base-Ten Blocks for 2-Digit by
2-Digit Multiplication
Lesson 35
Lesson 36
Multiply two-digit
multiples of 10 by twodigit numbers using the
Multiply two-digit by twodigit numbers using four
partial products.
Lesson 38
Multiplying Two 2-Digit
Numbers Using Partial Products
Area Models to Multiply
4.NBT.5 (Strategies for Multi-Digit
Multiplication)
Using Area Models to
Multiply
Multiplying Two 2-Digit
Numbers Using Partial Products
Solve Word Problems Using
Multiplication Strategies
Focus 5: Recording Partial Products for
2-Digit by 2-Digit Multiplication
Solving Word Problems
Using Partial Products
Multiplying Two 2-Digit
Numbers Using Partial Products
Equations and
Multiplication
Multiplying Two 2-Digit
Numbers Using Partial Products
Using Area Models to
Multiply
Multiplying Two 2-Digit
Numbers Using Partial Products
Using Area Models to
Multiply
Multiplying Two 2-Digit
Numbers Using Partial Products
Equations and Multiplication
Lesson 37
Identifying Partial Products
Using Base Ten Blocks
Transition from four
partial products to the
standard algorithm for
Transition from four
partial products to the
standard algorithm for
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Multiply 2-Digit Numbers
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EngageNY Module 4: Angle Measures and Plane Figures
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic A: Lines and Angles
Lesson 1
Identify and draw points,
lines, line segments, rays,
and angles and
4.G.1 (Points, Lines, and Angles)
Focus 1: Understanding and
Representing Points
Focus 2: Understanding and
Representing Lines, Segments, and
Rays
Focus 3: Understanding Angles in the
World
Lesson 2
Use right angles to
determine whether
angles are equal to,
4.G.1 (Points, Lines, and Angles)
Focus 4: Acute, Obtuse, and Right
Angles
Lesson 3
Identify, define, and draw
perpendicular lines.
Lesson 4
Identify, define, and draw
parallel lines.
Lines, Segments, and Angles
4.G.1 (Points, Lines, and Angles)
Lines, Line Segments,
Rays, and Angles
Focus 6: Parallel and Perpendicular
Lines
Angles and Sides of TwoDimensional Shapes
4.MD.5 (Understanding Angles and
Degrees)
Angle Measures and
Circles
Identifying Lines and Angles
SLA 4.G.1
Topic B: Angle Measurement
Lesson 5
Use a circular protractor
to understand a 1-degree
angle as 1/360 of a turn.
Solving Problems Involving
Angle Measures and Circles
Relating Angle Measures to
Circles
Focus 1: Relating Angles to Rotation
Focus 2: Understanding Degrees
Focus 4: Benchmark Angles and Turns
Focus 5: Classifying Angles
4.MD.6 (Measuring and Drawing
Angles)
Focus 1: Iterating a Unit Angle to
Measure Angles
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EngageNY Module 4: Angle Measures and Plane Figures
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Focus 4: Partitioning a Circle to Make a
Protractor
Lesson 6
Lesson 7
Use varied protractors to
distinguish angle
measure from length
Measure and draw
angles. Sketch given
angle measures and
4.MD.6 (Measuring and Drawing
Angles)
Focus 3: Sketching Angles
Focus 5: Measuring with a Circular
Protractor
Focus 6: Measuring with a Standard
Protractor
Focus 7: Drawing Angles Precisely
Using a Protractor
Lesson 8
Identify and measure
angles as turns and
recognize them in
Understanding Angle Measures
and Circles
4.MD.5 (Understanding Angles and
Degrees)
Angle Measures and
Circles
Relating Angle Measures to
Circles
Measuring Angles with a
Protractor
Using a Protractor to Measure
Angles
SLA 4.MD.5
SLA 4.MD.6
Focus 3: 4.MD.5 (Understanding
Angles and Degrees)
Measuring Angles with a
Protractor
4.MD.6 (Measuring and Drawing
Angles)
Focus 2: Partitioning a Circle to Find
Benchmark Angles
Topic C: Problem Solving with the
Addition of Angle Measures
Lesson 9
Decompose angles using
pattern blocks.
4.MD.7 (Angles are Additive)
Focus 2: Pattern Block Angles
Lesson 10
Use the addition of
adjacent angle measures
to solve problems using
4.MD.7 (Angles are Additive)
Potato Launcher
Focus 3: Understanding
Complementary Angles
Lesson 11
Use the addition of
adjacent angle measures
to solve problems using
Adding and Subtracting Angles
4.MD.7 (Angles are Additive)
Adding and Subtracting
Angles
Adding and Subtracting Angles
SLA 4.MD.7
Focus 4: Understanding
Supplementary Angles
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EngageNY Module 4: Angle Measures and Plane Figures
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic D: Two-Dimensional Figures and
Symmetry
Lesson 12
Recognize lines of
symmetry for given twodimensional figures;
Lines of Symmetry
4.G.3 (Lines of Symmetry)
Lines of Symmetry in 2-D
Shapes
Understanding and Identifying
Lines of Symmetry
Naming Triangles
Using Side Lengths and Angle
Measures to Classify Triangles
Using Side Lengths and Angle
Measures to Classify Triangles
SLA 4.G.3
Focus 1: Introduction to Symmetry
Focus 2: Drawing Lines of Symmetry
Focus 3: Part-Whole: Reasoning About
Symmetry
Focus 4: Multiple Lines of Symmetry
Focus 5: Symmetry Game
Lesson 13
Analyze and classify
triangles based on side
length, angle measure or
both.
4.G.2 (Classifying Shapes by
Perpendicular and Parallel Sides and
Right Angles)
Focus 5: Classify Triangles by Angles
Focus 6: Classify Triangles by Side
Length
Lesson 14
Define and construct
triangles from given
criteria. Explore
Classifying Triangles
4.G.2 (Classifying Shapes by
Perpendicular and Parallel Sides and
Right Angles)
Focus 7: Cross-Classify Triangles
Naming Triangles
Lesson 15
Classify quadrilaterals
based on parallel and
perpendicular lines and
the presence or absence
Identifying 2-D Figures
4.G.2 (Classifying Shapes by
Perpendicular and Parallel Sides and
Right Angles)
Angles and Sides of Two- Identifying Lines and Angles
Dimensional Shapes
Identifying 2-D Figures Using
Sides
Focus 2: Classify Quadrilaterals by
Sides and Angles
Comparing 2-D Figures
Identifying 2-D Figures Using
Angles
Focus 3: Classify Polygons by Sides
and Angles
Characteristics of 2-D
Figures
SLA 4.G.2
Identifying Quadrilaterals
Focus 4: Name and Describe Specific
Quadrilaterals
Lesson 16
Reason about attributes
to construct
quadrilaterals on square
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 5: Fraction Equivalence, Ordering, and Operations
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic A: Decomposition and Fraction
Equivalence
Lesson 1
Decompose fractions as
a sum of unit fractions
using tape diagrams.
Joining and Separating Parts of
the Same Whole
4.NF.3 (Adding and Subtracting
Fractions with Like Denominators)
Joining and Separating
Parts of a Whole
Focus 1: Composite Fractions as
Addition of Unit Fractions
Add and Subtract Fractions
using Models
Identifying the Missing Fraction
in Addition and Subtraction
Equations
Focus 2: Sums and Differences with
Composite Fractions
Lesson 2
Decompose fractions as
a sum of unit fractions
using tape diagrams.
4.NF.3 (Adding and Subtracting
Fractions with Like Denominators)
Joining and Separating
Parts of a Whole
Add and Subtract Fractions
using Models
Fractions as Multiples
Writing Fractions as Multiples
Identifying Equivalent
Fractions Visually
Finding Equivalent Fractions
with Models and Equations
Identifying Equivalent
Fractions Visually
Finding Equivalent Fractions
with Models and Equations
Focus 3: Mixed Numbers and Fractions
Greater Than 1
Lesson 3
Decompose non-unit
fractions and represent
them as a whole number
4.NF.4 (Multiplying Whole Numbers
by Fractions)
Focus 2: Visual Representations for
Multiplying Whole Numbers by Unit
Fractions
Lesson 4
Decompose fractions
into sums of smaller unit
fractions using tape
Fractions as Multiples
4.NF.4 (Multiplying Whole Numbers
by Fractions)
Focus 1: Composite Fractions as
Multiples of Unit Fractions
Lesson 5
Decompose unit fractions
using area models to
show equivalence.
Lesson 6
Decompose fractions
using area models to
show equivalence.
Topic B: Fraction Equivalence Using
Multiplication and Division
Lesson 7
Use the area model and
multiplication to show the
equivalence of two
4.NF.1 (Finding Equivalent Fractions:
Multiplication and Models)
Bridging the Gap
Focus 1: Finding Equivalent Fractions
Using Length Models
Focus 2: Finding Equivalent Fractions
Using Area Models
Lesson 8
Use the area model and
multiplication to show the
equivalence of two
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4.NF.1 (Finding Equivalent Fractions:
Multiplication and Models)
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 5: Fraction Equivalence, Ordering, and Operations
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Focus 4: Writing Multiplication
Equations to Show Equivalent Fractions
Focus 5: Connecting Models and
Equations to Understand Equivalent
Fractions
Lesson 9
Lesson 10
Use the area model and
division to show the
equivalence of two
Use the area model and
division to show the
equivalence of two
4.NF.1 (Finding Equivalent Fractions:
Multiplication and Models)
Focus 6: Reasoning about Equivalent
Fractions
Lesson 11
Explain fraction
equivalence using a tape
diagram and the number
Identifying Equivalent Fractions
Using Visuals
4.NF.1 (Finding Equivalent Fractions:
Multiplication and Models)
Identifying Equivalent
Fractions Visually
Finding Equivalent Fractions
with Models and Equations
Creating Equivalent Fractions
Focus 3: Finding Equivalent Fractions
Using Number Lines
Multiply to Find
Equivalent Fractions
Identifying Equivalent Fractions
Using Models and Number
Lines
Find Equivalent Fractions
SLA 4.NF.1
Comparing Fractions with
Like Denominators
SLA 4.NF.2
Finding Equivalent Fractions
with Models and Equations
Topic C: Fraction Comparison
Lesson 12
Lesson 13
Reason using
benchmarks to compare
two fractions on the
Reason using
benchmarks to compare
two fractions on the
4.NF.2 (Strategies for Comparing
Fractions)
Focus 2: Compare Using Benchmark
Values (0, \frac{1}{2}, 1)
Lesson 14
Find common units or
number of units to
compare two fractions.
4.NF.2 (Strategies for Comparing
Fractions)
Comparing Fractions Using
Common Denominators and
Benchmarks
Focus 3: Compare Fractions by Finding
Common Numerators
Lesson 15
Find common units or
number of units to
compare two fractions.
Strategies for Comparing
Fractions
4.NF.2 (Strategies for Comparing
Fractions)
Focus 4: Compare Fractions by Finding
Common Denominators
Strategies for Comparing
Fractions
Comparing Fractions Using
Common Denominators and
Benchmarks
Identifying Equivalent Fractions
Using Models and Number
Lines
Topic D: Fraction Addition and
Subtraction
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 5: Fraction Equivalence, Ordering, and Operations
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Lesson 16
Use visual models to add
and subtract two
fractions with the same
Joining and Separating
Parts of a Whole
Add and Subtract Fractions
using Models
Lesson 17
Use visual models to add
and subtract two
fractions with the same
Adding and Subtracting
Fractions with Visuals
Adding Fractions with Like
Denominators Using a Model
Jam Sessions
Labs
Assessments
Subtracting Fractions with Like
Denominators Using a Model
Lesson 18
Add and subtract more
than two fractions.
Lesson 19
Solve word problems
involving addition and
subtraction of fractions.
Addition and Subtraction of
Fractions with Visuals
4.NF.3 (Adding and Subtracting
Fractions with Like Denominators)
Adding and Subtracting
Fractions with Visuals
Focus 8: Word Problems: Adding and
Subtracting Fractions and Mixed
Numbers
Lesson 20
Lesson 21
Adding Fractions with Like
Denominators Using a Model
Subtracting Fractions with Like
Denominators Using a Model
Use visual models to add
two fractions with related
units using the
Use visual models to add
two fractions with related
units using the
Topic E: Extending Fraction Equivalence
to Fractions Greater than 1
Lesson 22
Lesson 23
Add a fraction less than 1
to, or subtract a fraction
less than 1 from, a whole
Add and multiply unit
fractions to build
fractions greater than 1
Multiplication of a Fraction by a
Whole Number
4.NF.4 (Multiplying Whole Numbers
by Fractions)
Multiplying Fractions by
Whole Numbers
Visualizing the Multiplication of
a Fraction by a Whole Number
Focus 3: Multiplying Whole Numbers
by Composite Fractions
Lesson 24
Lesson 25
Lesson 26
Decompose and
compose fractions
greater than 1 to express
Decompose and
compose fractions
greater than 1 to express
Compare fractions
greater than 1 by
reasoning using
4.NF.2 (Strategies for Comparing
Fractions)
Focus 5: Choose the Best Strategy to
Compare Fractions
Lesson 27
Compare fractions
greater than 1 by creating
common numerators or
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 5: Fraction Equivalence, Ordering, and Operations
EngageNY Lessons
Lesson 28
Solve word problems
with line plots.
TenMarks Resources
Assignments
Addition and Subtraction of
Fractions Using Line Plots
Lessons
4.MD.4 (Adding and Subtracting
Fractions to Analyze Line Plot Data)
Amplifiers
Videos
Addition and Subtraction
of Fractions Using Line
Plots
Addition of Fractions Using Line
Plots
Focus 1: Making a Line Plot
Jam Sessions
Labs
Assessments
SLA 4.MD.4
Subtraction of Fractions Using
Line Plots
Focus 2: Comparing Line Plots
Focus 3: Adding Fractions with Line
Plot Data
Focus 4: Subtracting Fractions in Line
Plot Data
Topic F: Addition and Subtraction of
Fractions by Decomposition
Lesson 29
Lesson 30
Estimate sums and
differences using
benchmark numbers.
Add a mixed number and
a fraction.
Representing Fractions
4.NF.3 (Adding and Subtracting
Fractions with Like Denominators)
Representing Fractions
Decomposing Fractions and
Mixed Numbers
Addition of Mixed
Numbers
Adding Mixed Numbers
Focus 4: Adding Mixed Numbers as
Wholes and Parts
Lesson 31
Add mixed numbers.
4.NF.3 (Adding and Subtracting
Fractions with Like Denominators)
Lesson 32
Subtract a fraction from a
mixed number.
Focus 5: Adding Mixed Numbers as
Fractions Greater Than 1
Lesson 33
Subtract a mixed number
from a mixed number.
4.NF.3 (Adding and Subtracting
Fractions with Like Denominators)
Focus 7: Subtracting Mixed Numbers
as Fractions Greater Than 1
Lesson 34
Subtract mixed numbers.
Strategies for Adding and
Subtracting Mixed Numbers
4.NF.3 (Adding and Subtracting
Fractions with Like Denominators)
Strategies for Subtracting Subtracting Mixed Numbers
Mixed Numbers
Addition and Subtraction of
Mixed Numbers
Focus 6: Subtracting Mixed Numbers
as Wholes and Parts
Subtraction of Mixed
Numbers
SLA 4.NF.3
Subtracting Mixed Numbers
Topic G: Repeated Addition of Fractions
as Multiplication
Lesson 35
Represent the
multiplication of n times
a/b as (n × a)/b using the
4.NF.4 (Multiplying Whole Numbers
by Fractions)
Focus 4: Different Expressions for
Multiplying Whole Numbers by
Composite Fractions
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 5: Fraction Equivalence, Ordering, and Operations
EngageNY Lessons
Lesson 36
TenMarks Resources
Assignments
Represent the
multiplication of n times
a/b as (n × a)/b using the
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
4.NF.4 (Multiplying Whole Numbers
by Fractions)
Focus 6: Solving Word Problems That
Involve Multiplying Whole Numbers by
Composite Fractions
Lesson 37
Find the product of a
whole number and a
mixed number using the
4.NF.4 (Multiplying Whole Numbers
by Fractions)
Focus 7: Multiplying Whole Numbers by
Fractions
Lesson 38
Lesson 39
Lesson 40
Find the product of a
whole number and a
mixed number using the
Solve multiplicative
comparison word
problems involving
Solve word problems
involving the
multiplication of a whole
Solve Word Problems: Multiply a 4.NF.4 (Multiplying Whole Numbers
Fraction & Whole Number
by Fractions)
Fractions as Multiples:
Word Problems
Visualizing the Multiplication of
a Fraction by a Whole Number
SLA 4.NF.4
Focus 5: Solving Word Problems That
Involve Multiplying Whole Numbers
and Unit Fractions
Topic H: Explore a Fraction Pattern
Lesson 41
Find and use a pattern to
calculate the sum of all
fractional parts between
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 6: Decimal Fractions
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic A: Exploration of Tenths
Lesson 1
Lesson 2
Lesson 3
Use metric measurement
to model the
decomposition of one
Use metric measurement
and area models to
represent tenths as
Represent mixed
numbers with units of
tens, ones, and tenths
Fractions to Decimals:
Tenths
Fractions to Decimals:
Tenths
Topic B: Tenths and Hundredths
Lesson 4
Use meters to model the
decomposition of one
whole into hundredths.
4.NF.6 (Writing Tenths and
Hundredths as Decimals)
Fractions to Decimals:
Hundredths
Focus 1: Introduction to Place Value
Less Than One
Focus 2: Write Tenths and Hundredths Fractions Less Than 1 as Decimals
Focus 3: Write Tenths and Hundredths Fractions Greater Than 1 as Decimals
Lesson 5
Lesson 6
Model the equivalence of
tenths and hundredths
using the area model and
Use the area model and
number line to represent
mixed numbers with units
4.NF.5 (Using Equivalent Fractions to
Add Tenths and Hundredths)
Focus 1: Finding Equivalent Fractions –
Tenths to Hundredths
Focus 2: Finding Equivalent Fractions –
Hundredths to Tenths
4.NF.6 (Writing Tenths and
Hundredths as Decimals)
Focus 4: Write Tenths and Hundredths Decimals as Fractions
Focus 6: Identifying Decimals on
Number Lines
Focus 7: Placing Decimals on Number
Lines
Lesson 7
Model mixed numbers
with units of hundreds,
tens, ones, tenths, and
Decimal Notation and Fractions
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4.NF.6 (Writing Tenths and
Hundredths as Decimals)
Fractions to Decimals:
Tenths
Decimal Notation and Fractions
SLA 4.NF.6
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 6: Decimal Fractions
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Focus 5: Decimal Notation and Models
Lesson 8
Use understanding of
fraction equivalence to
investigate decimal
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Fractions to Decimals:
Hundredths
4.NF.5 (Using Equivalent Fractions to
Add Tenths and Hundredths)
Focus 3: Finding Equivalent Fractions
Using Base-Ten Blocks
Topic C: Decimal Comparison
Lesson 9
Use the place value chart
and metric measurement
to compare decimals and
4.NF.7 (Comparing Decimals to the
Hundredths Place)
Focus 1: Comparing Tenths
Focus 2: Comparing Hundredths
Lesson 10
Use area models and the
number line to compare
decimal numbers, and
Comparing Decimals
4.NF.7 (Comparing Decimals to the
Hundredths Place)
Strategies to Compare
Decimals
Comparing Decimals
SLA 4.NF.7
Denominators of 10 and
100
Fractions with a Denominator of
10 and 100
SLA 4.NF.5
Focus 4: Comparing Tenths and
Hundredths
Focus 5: Justifying Comparisons of
Tenths and Hundredths
Lesson 11
Compare and order
mixed numbers in
various forms.
Topic D: Addition with Tenths and
Hundredths
Lesson 12
Lesson 13
Apply understanding of
fraction equivalence to
add tenths and
Add decimal numbers by
converting to fraction
form.
Fractions: Denominator of 10 or
100
4.NF.5 (Using Equivalent Fractions to
Add Tenths and Hundredths)
Focus 5: Finding Equivalent
Expressions to Add Tenths and
Hundredths
Lesson 14
Solve word problems
involving the addition of
measurements in
Topic E: Money Amounts as Decimal
Numbers
Lesson 15
Express money amounts
given in various forms as
decimal numbers.
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 6: Decimal Fractions
EngageNY Lessons
Lesson 16
Solve word problems
involving money.
TenMarks Resources
Assignments
Lessons
Word Problems Involving Money 4.MD.2 (Solving Measurement Word
Problems with the Four Operations)
Amplifiers
Converting
Measurements: Money
Videos
Jam Sessions
Labs
Assessments
Money: Converting Between
Values and Solving Word
Problems
Focus 6: Solving Problems with Money
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 7: Exploring Measurement with Multiplication
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic A: Measurement Conversion
Tables
Lesson 1
Create conversion tables
for length, weight, and
capacity units using
Customary Length
4.MD.1 (Introduction to Unit
Conversions)
Customary Units of
Length
Focus 3: Converting Customary Lengths
and Multiple Conversions
Lesson 2
Lesson 3
Create conversion tables
for length, weight, and
capacity units using
Create conversion tables
for units of time, and use
the tables to solve
Estimating Measures Using
Customary Units
More to Pour
Converting Customary Units of
Length
Customary & Metric Weight
4.MD.1 (Introduction to Unit
Conversions)
Customary Units of
Weight
Converting Customary Units of
Weight
Customary & Metric Capacity
Focus 4: Converting Customary Volume
and Weight
Customary Units of
Capacity
Converting Customary Units of
Capacity
Converting Units of Time
4.MD.1 (Introduction to Unit
Conversions)
Converting Units of Time
Converting Between Larger and
Smaller Units of Time
Converting
Measurements: Liquid
Volume (Metric)
Solving Word Problems by
Converting Metric Units of
Capacity
4.MD.2 (Solving Measurement Word
Problems with the Four Operations)
Converting Customary
Measurements:
Length/Distance
Measuring Distance Using
Customary and Metric Units
Focus 2: Using Tape Diagrams to Solve
Measurement Problems (Metric Distance)
Converting Metric
Measurements: Distance
Focus 5: Converting Units of Time - Part 1
Focus 6: Converting Units of Time - Part 2
Lesson 4
Lesson 5
Solve multiplicative
comparison word
problems using
Share and critique peer
strategies.
Topic B: Problem Solving with
Measurement
Lesson 6
Solve problems involving
mixed units of capacity.
4.MD.2 (Solving Measurement Word
Problems with the Four Operations)
Focus 3: Using Conversion Tables to
Solve Measurement Problems (Metric
Liquid Volume)
Lesson 7
Lesson 8
Solve problems involving
mixed units of length.
Word Problems Involving
Length and Distance
Solve problems involving
mixed units of weight.
4.MD.2 (Solving Measurement Word
Problems with the Four Operations)
Focus 5: Using a Tape Diagram to Solve a
Customary Weight Problem
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 4
EngageNY Module 7: Exploring Measurement with Multiplication
EngageNY Lessons
Lesson 9
Solve problems involving
mixed units of time.
Lesson 10
Solve multi-step
measurement word
problems.
Solve multi-step
measurement word
problems.
Lesson 11
TenMarks Resources
Assignments
Lessons
Word Problems Involving
Masses and Liquid Volumes
Amplifiers
Videos
Converting
Measurements: Liquid
Volume (Customary)
Converting Customary Units of
Capacity and Word Problems
Focus 7: Solving a Multi-Step Customary
Volume Measurement Problem
Converting
Measurements: Liquid
Volume (Metric)
Solving Word Problems by
Converting Metric Units of
Capacity
4.MD.2 (Solving Measurement Word
Problems with the Four Operations)
Converting Intervals of
Time
Converting Between Larger and
Smaller Units of Time
Jam Sessions
Labs
Assessments
Topic C: Investigation of Measurements
Expressed as Mixed Numbers
Lesson 12
Lesson 13
Lesson 14
Use measurement tools
to convert mixed number
measurements to smaller
Use measurement tools
to convert mixed number
measurements to smaller
Word Problems Involving
Intervals of Time
Focus 4: Using Yardsticks as Number
Lines: Solving Customary Length
Problems
Measuring Time Using a
Number Line
Focus 8: Solving a Time Problem with a
Number Line
Using Tape Diagrams to
Estimate Time and Distance
Solve multi-step word
problems involving
converting mixed
Topic D: Year in Review
Lesson 15
Lesson 16
Lesson 17
Lesson 18
Solve multi-step word
problems involving
converting mixed
Create and determine
the area of composite
figures.
Practice and solidify
Grade 4 fluency.
Practice and solidify
Grade 4 vocabulary.
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