TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 1: Ratios and Unit Rate
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic A: Representing and Reasoning
About Ratios
Lesson 1
Understand the concept of
a ratio.
6.RP.1 (Understanding Ratio
Relationships between Two Quantities)
Lemonator 9000
Focus 4: Writing a Ratio
Lesson 2
Use the precise language
and notation of ratios.
Create ratios in context of
Representing Ratios
6.RP.1 (Understanding Ratio
Relationships between Two Quantities)
Representing Ratios
Representing Ratios Using
Models and Tables
SLA 6.RP.1
Focus 3: Ratio Scenarios
Focus 5: Expressing a Ratio from a Word
Problem
Lesson 3
Using diagrams and
models to represent and
solve ratios.
6.RP.1 (Understanding Ratio
Relationships between Two Quantities)
Focus 1: Modeling Ratios
Lesson 4
Identify equivalent ratios.
6.PR.3a (Making Tables of Equivalent
Ratios to Relate and Compare
Quantities)
Focus 1: Understanding Equivalent Ratios
Lesson 5
Find equivalent ratios
using the Part-to-Part ratio.
Lesson 6
Changing the ratio when a
quantity changes.
Lesson 7
Understand the
relationship between ratios
and fractions and the
6.RP.1 (Understanding Ratio
Relationships between Two Quantities)
Focus 2: Part-to-Whole and Part-to-Part
Relationships
Lesson 8
Understand the value of a
ratio.
Topic B: Collections of Equivalent Ratios
Lesson 9
6.PR.3a (Making Tables of Equivalent
Ratios to Relate and Compare
Quantities)
Multiply Fractions and
Whole Numbers
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 1: Ratios and Unit Rate
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Focus 2: Using Models to Create a Table
Focus 3: What's the Pattern?
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Identify the structure of a
ratio table to make
additional entries.
Comparing different ratios
using multiple ratio tables.
Represent ratios on a
double number line
diagram.
Use the value of a ratio to
write and solve equations.
Ratio Tables and Graphs
6.PR.3a (Making Tables of Equivalent
Ratios to Relate and Compare
Quantities)
Ratios and Graphs
Focus 5: Equations for Ratio
Relationships
Ratios and Tables
Identifying Ratios Using Tables
and Graphs
Understanding Unit Rate
Lesson 14
Representing ratios in the
coordinate plane.
6.PR.3a (Making Tables of Equivalent
Ratios to Relate and Compare
Quantities)
Focus 4: Ratio Relationships on the
Coordinate Plane
Lesson 15
Observing the points
follow the line y=kx where
k is the ratio.
Topic C: Unit Rates
Lesson 16
Using a ratio to determine
the unit rate.
Expressing Unit Rate
6.RP.2 (Understand Unit Rates with a
Ratio)
Understanding Unit Rate
Identifying Unit Rate
SLA 6.RP.2
Focus 4: Unit Rates in Ratio Notation
Focus 5: Solving for Unit Rate
6.RP.3b (Solving Unit Rate Problems)
Focus 3: Price per Pound
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 1: Ratios and Unit Rate
EngageNY Lessons
Lesson 17
TenMarks Resources
Assignments
Associating unit rates and
ratios.
Lessons
Amplifiers
Videos
6.RP.2 (Understand Unit Rates with a
Ratio)
Jam Sessions
Labs
Assessments
Divide Unit Fractions by
Whole Numbers
Focus 1: Rates and Unit Rates
Focus 3: Modeling Unit Rates
6.RP.3b (Solving Unit Rate Problems)
Focus 1: Finding and Using Unit Rate
Focus 4: Unit Rate and Equivalent Ratios
Lesson 18
Lesson 19
Interpreting rate as a
division of two quantities to
simplify multiplying a rate
Solving by using unit rates
in tables, graphs, and
equations.
6.RP.2 (Understand Unit Rates with a
Ratio)
Focus 2: Better Buys
Lesson 20
Solving by analyzing
different unit rates in a
variety of formats.
Solving Problems Involving Unit 6.RP.3b (Solving Unit Rate Problems)
Rate
Solving Problems
Involving Unit Rate
Solving Problems Involving Unit
Rate
Focus 5: What's the Best Buy?
Lesson 21
Using rates to convert
measurement units.
6.RP.3d (Using Ratios to Convert
Measurement Units)
Focus 1: Cups in a Gallon
Focus 3: Converting Meters and
Centimeters
Lesson 22
Solving speed situations
with the formula rate x
time.
6.RP.3b (Solving Unit Rate Problems)
Focus 2: Distance, Rate, and Time
Lesson 23
Solving constant rate work
problems.
Topic D: Percent
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 1: Ratios and Unit Rate
EngageNY Lessons
Lesson 24
TenMarks Resources
Assignments
Understand that percents
are related to a ratio that is
a part out of 100.
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
6.RP.3c (Understanding Percent as a
Rate per 100)
Focus 1: What is Percent?
Lesson 25
Understand the
relationships between a
fraction, decimal, and
6.RP.3c (Understanding Percent as a
Rate per 100)
Focus 5: Modeling Percent with a 10 x 10
Grid
Lesson 26
Find a percent of a quantity
or a whole using the part
and percentage.
Solving Percent Word Problems
6.RP.3c (Understanding Percent as a
Rate per 100)
Focus 2: Percent Discounts
Lesson 27
Find a percent of a quantity
or a whole using the part
and percentage.
Percent Relationships
Expressing and Solving
Percents
Percent Relationships
Expressing Percents as
Fractions, Decimals, and by
Using Models
6.RP.3c (Understanding Percent as a
Rate per 100)
Focus 3: Finding the Percent from a Total
Focus 4: Finding the Total from a Percent
Lesson 28
Lesson 29
Find a percent of a quantity
or a whole using the part
and percentage.
Find a percent of a quantity
or a whole using the part
and percentage.
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 2: Arithmetic Operations Including Division of Fractions
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic A: Dividing Fractions by Fractions
Lesson 1
Lesson 2
Lesson 3
Lesson 4
Use visual models to divide
a fraction by a whole
number.
Understand the difference
between dividing a fraction
by a whole number and
Use visual models to divide
fractions by fractions with
common denominators.
Use visual models to divide
fractions by fractions with
different denominators.
6.NS.1 (Word Problems with Quotients
of Fractions)
Focus 1: Using Models to Divide Fractions
Lesson 5
Demonstrate an
understanding of dividing
fractions by setting up a
6.NS.1 (Word Problems with Quotients
of Fractions)
Focus 5: Interpreting a Division Equation
Lesson 6
Demonstrate an
understanding of dividing
fractions by setting up a
6.NS.1 (Word Problems with Quotients
of Fractions)
Focus 3: Using Models to Solve a Word
Problem
Lesson 7
Connect models of
fractions to multiplication
through the use of
6.NS.1 (Word Problems with Quotients
of Fractions)
Focus 2: Understanding Division of
Fractions
Lesson 8
Divide fractions by mixed
numbers.
Topic B: Multi-Digit Decimal Operations Adding, Subtracting and Multiplying
Lesson 9
Add and subtract multidigit decimals.
6.NS.3 (Applying the Four Operations to
Multi-Digit Decimals)
Focus 1: Adding Multi-Digit Decimals
Focus 2: Subtracting Multi-Digit Decimals
Lesson 10
Apply the distributive
property to find the
product of decimals.
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 2: Arithmetic Operations Including Division of Fractions
EngageNY Lessons
Lesson 11
Estimation of decimal
products and the
connection between
TenMarks Resources
Assignments
Add/Subtract/Multiply/Divide:
Multi-Digit Decimals
Estimating with All Operations:
Multi-Digit Decimals
Lessons
Amplifiers
Videos
6.NS.3 (Applying the Four Operations to Add, Subtract, Multiply,
Multi-Digit Decimals)
Divide Multi-Digit
Decimals
Focus 3: Using Patterns to Multiply
Multiplication and Division of
Multi-Digit Decimals
Focus 4: Multiplying Multi-Digit Decimals
Using the Standard Algorithm
Addition and Subtraction of
Multi-Digit Decimals
Focus 7: Simplifying Expressions using
the Four Operations
Using Models to Add Decimals
Jam Sessions
Labs
Assessments
SLA 6.NS.3
Using Models to Divide
Decimals
Using Models to Multiply
Decimals
Using Models to Subtract
Decimals
Topic C: Dividing Whole Numbers and
Decimals
Lesson 12
Estimating digits in a
quotient.
6.NS.2 (Dividing Multi-Digit Numbers)
Focus 2: Estimating to Check the
Quotient
Lesson 13
Dividing multi-digit
numbers using the
algorithm.
6.NS.2 (Dividing Multi-Digit Numbers)
Focus 1: Understanding Division
6.NS.3 (Applying the Four Operations to
Multi-Digit Decimals)
Focus 5: Dividing Multi-Digit Decimals
Lesson 14
Using the algorithm to
divide multi-digit numbers
with and without
6.NS.2 (Dividing Multi-Digit Numbers)
SLA 6.NS.2
Focus 3: Expressing Quotients with
Remainders
Focus 4: Understanding Decimal
Quotients
Focus 5: Writing a Remainder as a
Decimal
Focus 6: Dividing a 5-Digit Dividend by a
3-Digit Divisor
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 2: Arithmetic Operations Including Division of Fractions
EngageNY Lessons
Lesson 15
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Using powers of 10 to aid
in decimal placement and
division of multi-digit
Topic D: Number Theory – Thinking
Logically About Multiplicative Arithmetic
Lesson 16
Lesson 17
Lesson 18
Using even and odd to
understand multiples and
factors.
Using divisibility rules for 3
and 9 to find factors and
multiples.
Find LCM and GCF and
apply factors to the
Distributive Property.
Identifying the Greatest
Common Factor
6.NS.4 (Identifying Greatest Common
Factors and Least Common Multiples)
Identifying the Greatest
Common Factor
Identifying the Greatest
Common Factor
Find the Greatest
Common Factor
SLA 6.NS.4
Focus 1: Understanding Factors and
Multiples
Focus 2: Strategies for Identifying the
Greatest Common FActor
Focus 3: Using the GCF to solve a Word
Problem
Focus 4: Utilizing the Distributive
Property to Find the Sum
Focus 5: Strategies for Identifying the
Least Common Multiple
Focus 6: Using the LCM to Solve a Word
Problem
Lesson 19
Discover Euclid's Algorithm
as a means to find the
CGF.
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 3: Rational Numbers
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic A: Understanding Positive and
Negative Numbers on the Number Line
Lesson 1
Lesson 2
Positive and negative
numbers on the number
line.
Real-world positive,
negative, and zero values.
Using Integers to Represent
Quantities
6.NS.5 (Understanding Magnitude and
Direction with Positive and Negative
Numbers)
Using Integers to
Represent Quantities
Positive and Negative Numbers
in Real World Situations
Elevate Your
Position
SLA 6.NS.5
Focus 1: Using Positive and Negative
Numbers to Represent Position
Focus 2: Identifying Context Clues for
Positive and Negative Numbers
Focus 3: Using Positive and Negative
Numbers to Represent Temperature
Focus 4: Playing with Positive and
Negative Numbers at the Bank
Focus 5: How Low Can You Go?
Lesson 3
Real-world positive,
negative, and zero values.
Lesson 4
The opposite of a number.
6.NS.6 (Understanding Opposites and
Identifying Rational Numbers on a
Number Line and a Coordinate Plane)
Bunny Hop
Focus 1: Identifying Opposite Numbers
on the Number Line
Lesson 5
The opposite of a number's
opposite.
Identifying Opposite Numbers
6.NS.6 (Understanding Opposites and
Identifying Rational Numbers on a
Number Line and a Coordinate Plane)
Opposite Numbers
Identifying Opposite Numbers
Using a Number Line
Find Opposite Numbers
Focus 2: Identifying the Opposite
Lesson 6
Rational Numbers on the
number line.
Rational Numbers on Number
Lines and Coordinate Planes
6.NS.6 (Understanding Opposites and
Identifying Rational Numbers on a
Number Line and a Coordinate Plane)
Focus 3: Locating Rational Numbers on a
Number Line
Topic B: Order and Absolute Value
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 3: Rational Numbers
EngageNY Lessons
Lesson 7
Ordering of integers and
rational numbers.
TenMarks Resources
Assignments
Ordering Rational Numbers
Lessons
6.NS.7 (Comparing Rational Numbers
and Understanding Absolute Value)
Amplifiers
Videos
Comparing Rational
Numbers on a Number
Line
Ordering and Comparing
Rational Numbers
Comparing Rational
Numbers on a Number
Line
Ordering and Comparing
Rational Numbers
Understanding Absolute
Value
Understanding Absolute Value
of Rational Numbers
Jam Sessions
Labs
Assessments
Focus 3: Comparing and Interpreting
Integers in a Real-World Context
Focus 4: Comparing and Interpreting
Negative Numbers in a Real-World
Context
Lesson 8
Ordering of integers and
rational numbers.
Lesson 9
Comparing integers and
rational numbers.
Lesson 10
Writing comparisons using
inequality statements.
Use Inequality Statements to
Express Real World Context
6.NS.7 (Comparing Rational Numbers
and Understanding Absolute Value)
Focus 1: Writing Inequalities Using the
Number Line
Focus 2: Writing Inequalities to Compare
Rational Numbers Using a Vertical
Number Line
Lesson 11
Absolute value.
Understanding the Absolute
Value of Rational Numbers
6.NS.7 (Comparing Rational Numbers
and Understanding Absolute Value)
Focus 5: Identifying Absolute Value
Focus 6: Interpreting Absolute Value in a
Real-World Context
Lesson 12
Absolute value and order.
Lesson 13
Order in the real world.
Absolute Value and Statements
about Order
6.NS.7 (Comparing Rational Numbers
and Understanding Absolute Value)
SLA 6.NS.7
Focus 7: Identifying and Comparing
Absolute Values
Topic C: Rational Numbers and the
Coordinate Plane
Lesson 14
Ordered pairs.
6.NS.8 (Fun with the Four Quadrants)
Focus 1: Mapping With the Coordinate
Plane
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 3: Rational Numbers
EngageNY Lessons
Lesson 15
TenMarks Resources
Assignments
Locating ordered pairs on
the coordinate plane.
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
6.NS.6 (Understanding Opposites and
Identifying Rational Numbers on a
Number Line and a Coordinate Plane)
Focus 4: Understanding the Relationship
Between Quadrants and Signs of
Numbers in Ordered Pairs
6.NS.8 (Fun with the Four Quadrants)
Focus 2: Sinking Ships
Lesson 16
Finding symmetry in the
coordinate plane.
6.NS.6 (Understanding Opposites and
Identifying Rational Numbers on a
Number Line and a Coordinate Plane)
Focus 5: Identifying and Understanding
the Relationship Between a Point and Its
Reflection Over an Axis
Lesson 17
Setting up the coordinate
plane and drawing on it.
Opposite Numbers in the
Coordinate Plane
Solving Problems with Points
on the Coordinate Plane
6.NS.6 (Understanding Opposites and
Identifying Rational Numbers on a
Number Line and a Coordinate Plane)
Opposite Numbers on a
Coordinate Plane
Identifying Opposite Numbers
on the Coordinate Plane
Focus 6: Plotting and Identifying Integers
in the Coordinate Plane
Identifying Distances
Between Points on a
Coordinate Plane
Identifying Distances Using
Points on a Coordinate Plane
SLA 6.NS.6
6.NS.8 (Fun with the Four Quadrants)
Focus 3: Follow the Leader:
Understanding Position on the
Coordinate Plane
Lesson 18
Finding distance on the
coordinate plane.
6.NS.8 (Fun with the Four Quadrants)
Focus 5: Finding Side Lengths on the
Coordinate Plane
Focus 6: Finding Distances on the
Coordinate Plane
Lesson 19
Problem solving using the
coordinate plane.
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 4: Expressions and Equations
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic A: Relationships of the Operations
Lesson 1
Lesson 2
Lesson 3
Understanding the
relationship between
addition and subtraction.
Understanding the
relationship between
multiplication and division.
Understanding the
relationship between
multiplication and addition.
6.EE.3 (Applying the Properties of
Operations to Generate Equivalent
Expressions)
Focus 2: Writing Equivalent Expressions
Lesson 4
Understanding the
relationship between
division and subtraction.
Topic B: Special Notations of Operations
Lesson 5
Discovering exponents
6.EE.1 (Write and Evaluate Numerical
Expressions Involving Whole-Number
Exponents)
Focus 1: Exponential Notation Means
Repeated Multiplication
Lesson 6
Order of operations.
6.EE.1 (Write and Evaluate Numerical
Expressions Involving Whole-Number
Exponents)
Focus 4: Using Order of Operations in
Expressions
Focus 5: Using Order of Operations with
Exponents
Topic C: Replacing Letters and Numbers
Lesson 7
Substituting numbers in for
letters.
6.EE.2 (Write, Read, and Evaluate
Expressions in which Letters Stand for
Numbers)
Focus 2: Writing Expressions with
Variables to Solve Word Problems
Lesson 8
Substituting letters in for
numbers.
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 4: Expressions and Equations
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic D: Expanding, Factoring, and
Distributing Expressions
Lesson 9
Writing addition and
subtraction expressions.
Lesson 10
Writing and expanding
multiplication equations.
Lesson 11
Factoring expressions.
Lesson 12
Identify Equivalent Expressions:
Distributive Property
Distributing expressions.
6.EE.3 (Applying the Properties of
Operations to Generate Equivalent
Expressions)
Identifying Equivalent
Expressions
Focus 5: Using Factoring to Solve Word
Problems
Operations with Like
Terms
Identifying Equivalent
Expressions Using the
Distributive Property
SLA 6.EE.3
6.EE.3 (Applying the Properties of
Operations to Generate Equivalent
Expressions)
Focus 1: Understanding the Distributive
Property
Focus 3: Applying Properties of
Operations to Produce Equivalent
Expressions
6. EE.4 (Identifying Equivalent
Expressions)
SLA 6.EE.4
Focus 5: Equivalent Expressions and the
Distributive Property
Lesson 13
Writing division
expressions.
6.EE.2 (Write, Read, and Evaluate
Expressions in which Letters Stand for
Numbers)
Focus 1: Writing Expressions with
Numbers and Variables
Lesson 14
Writing division
expressions.
Topic E: Expressing Operations in
Algebraic Form
Lesson 15
Lesson 16
Reading expressions in
which letters stand for
numbers.
Writing expressions in
which letters stand for
numbers.
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 4: Expressions and Equations
EngageNY Lessons
Lesson 17
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Writing expressions in
which letters stand for
numbers.
Topic F: Writing and Evaluating
Expressions and Formulas
Lesson 18
Use variables to write
expressions involving
addition and subtraction.
6.EE.6 (Using Variables to Represent
Numbers When Solving Problems)
Focus 4: Varying a Variable
Lesson 19
Develop expressions
involving addition and
subtraction from real-world
situations and evaluate
Using Order of Operations to
Evaluate Expressions
6.EE.2 (Write, Read, and Evaluate
Expressions in which Letters Stand for
Numbers)
Using Order of
Operations to Evaluate
Expressions
Using Order of Operations to
Evaluate Algebraic Expressions
Writing and Solving
Equations with Variables
Identifying Expressions that
Represent Situations
Focus 3: Using Substitution to Evaluate
Expressions
Lesson 20
Develop expressions
involving multiplication and
division.
6.EE.6 (Using Variables to Represent
Numbers When Solving Problems)
Focus 3: Writing and Evaluating Algebraic
Expressions within a Context
Lesson 21
Develop expressions
involving multiplication and
addition.
Writing Equations Using
Variables
6.EE.6 (Using Variables to Represent
Numbers When Solving Problems)
Focus 2: Using Algebraic Expressions to
Represent a Real-World Context
Lesson 22
Develop expressions
involving exponents.
Using Substitution to Determine
Solutions
6.EE.1 (Write and Evaluate Numerical
Expressions Involving Whole-Number
Exponents)
Focus 2: Understanding Repeated
Multiplication
Topic G: Solving Equations
Lesson 23
Identifying true and false
number statements.
6.EE.5 (Understanding Solutions of
Equations and Inequalities)
Focus 1: Comparing Equations and
Inequalities
Lesson 24
Identifying true and false
number statements.
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 4: Expressions and Equations
EngageNY Lessons
Lesson 25
TenMarks Resources
Assignments
Finding solutions to make
equations true.
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
6.EE.5 (Understanding Solutions of
Equations and Inequalities)
Focus 3: Substitution and Equations
Lesson 26
One-step equations using
addition and subtraction.
6.EE.7 (Reason About and Solve OneVariable Equations)
Focus 1: Balancing One-Step Equations
Focus 2: Solving for the Unknown
Lesson 27
One-Step equations using
multiplication and division.
6.EE.7 (Reason About and Solve OneVariable Equations)
Focus 3: Modeling One-Step Equations
Lesson 28
Two-step problems using
all the operations.
Solving Word Problems
Involving Equations
6.EE.7 (Reason About and Solve OneVariable Equations)
Writing and Solving
Equations with Variables
Focus 4: Problem Solving with Inverse
Operations
Lesson 29
Identifying Expressions that
Represent Situations
SLA 6.EE.7
Using Substitution to Determine
Solutions
Multi-step problems using
all the operations.
Topic H: Applications of Equations
Lesson 30
Calculate missing angle
measures using equations.
Lesson 31
Create and solve
equations by assigning
dependent and
independent variables and
6.EE.9 (Representing and Analyzing the
Relationship between Independent and
Dependent Variables in the Real World)
SLA 6.EE.9
Focus 2: Identifying Independent and
Dependent Variables within a Context
Focus 4: Identifying the Relationship
between Two Variables by Using a Table
Focus 7: Writing an Equation to Model a
Context
Lesson 32
Create and solve
equations by assigning
dependent and
independent variables and
Independent and Dependent
Variables and Equations
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6.EE.9 (Representing and Analyzing the
Relationship between Independent and
Dependent Variables in the Real World)
Independent and
Dependent Variables
Independent and Dependent
Variables and Equations
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 4: Expressions and Equations
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Focus 3: Understanding the Relationship
between Two Variables by Using a Graph
Focus 5: Using a Graph to Write an
Equation
Focus 6: Investigating a Relationship
between Two Variables by Using Tables
and Graphs
Lesson 33
Understand inequalities
and their numerical
solutions as either true or
6.EE.5 (Understanding Solutions of
Equations and Inequalities)
Get in Line
Focus 4: Finding Solutions of an
Inequality
Lesson 34
Recognize that the solution
to an inequality can be a
set of infinitely many
solutions.
Solving Word Problems
Involving Inequalities
6.EE.8 (Writing Inequalities to
Represent a Real-World or
Mathematical Problem)
Solving Inequalities and
Word Problems
Identifying Inequalities and
Solutions to Word Problems
SLA 6.EE.8
Focus 5: Interpreting the Solution to an
Inequality
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 5: Area, Volume, and Surface Area Problems
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic A: Area of Triangles, Quadrilaterals,
and Polygons
Lesson 1
Lesson 2
Finding the area of a
parallelogram using
rectangles.
Area of right triangles.
6.G.1 (Finding the Area of Triangles and
Other Polygons)
Focus 1: Using the Area of a Rectangle to
Understand the Area of a Triangle
Lesson 3
Area of acute triangles
using base and height.
6.G.1 (Finding the Area of Triangles and
Other Polygons)
Focus 2: Decomposing a Triangle to Find
the Area
Lesson 4
Area of any triangle using
base and height.
6.G.1 (Finding the Area of Triangles and
Other Polygons)
Half to Tri It
Focus 3: Identifying Base and Height to
Find the Area of a Triangle
Lesson 5
Finding the area of
polygons using
decomposition and
composition.
Finding the Area of Composite
Figures
6.G.1 (Finding the Area of Triangles and
Other Polygons)
Identifying Areas of
Parallelograms &
Triangles
Focus 4: Composing a Figure to Find the
Area
Area of Trapezoids
Finding the Area of Composite
Figures
SLA 6.G.1
Focus 5: Decomposing a Figure to Find
the Area
Focus 6: Decomposing a Kite to Find the
Area
Focus 8: Tangram Puzzle
Lesson 6
Area in the real world.
6.G.1 (Finding the Area of Triangles and
Other Polygons)
Focus 7: Decomposing a Hexagon to
Find the Area
Topic B: Polygons on the Coordinate
Plane
Lesson 7
Finding distance on the
coordinate plane.
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6.G.3 (Identifying Side Lengths in the
Coordinate Plane)
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 5: Area, Volume, and Surface Area Problems
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Focus 1: Identifying Side Lengths of a
Triangle
Jam Sessions
Labs
Assessments
SLA 6.NS.8
Focus 3: Identifying the Distance
between Points in Multiple Quadrants
Lesson 8
Drawing polygons on the
coordinate plane.
6.G.3 (Identifying Side Lengths in the
Coordinate Plane)
Focus 2: Using Side Lengths to Form a
Rectangle
Focus 4: Using Area to Identify a Vertex
Lesson 9
Find the perimeter and
area of polygons on the
coordinate plane.
6.G.3 (Identifying Side Lengths in the
Coordinate Plane)
Focus 5: Finding the Area of a Right
Trapezoid
Lesson 10
Distance, perimeter, and
area in the real world.
Polygons in the Coordinate
Plane
6.G.3 (Identifying Side Lengths in the
Coordinate Plane)
Polygons on a
Coordinate Plane
Polygons on a Coordinate
Plane
Focus 1: Understanding Fractional Cubes
Identifying Volume of a
Rectangular Prism with
Fractional Side Lengths
Finding the Volume of
Rectangular Prisms
Focus 2: Identifying the Volume of a
Rectangular Prism with Fractional Side
Lengths
Identifying Volume of a
Rectangular Prism with
Fractional Side Lengths
Finding the Volume of
Rectangular Prisms
SLA 6.G.3
Focus 6: Get a Clue: Identifying Side
Lengths in Context
Topic C: Volume of Right Rectangular
Prisms
Lesson 11
Lesson 12
Volume with fractional
edge lengths and unit
cubes.
Finding the Volume of a
Rectangular Prism
Transition from unit cubes
to the formula for volume.
6.G.2 (Identifying Volume of
Rectangular Prisms with Fractional Side
Lengths)
Focus 3: Finding the Missing Dimension
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 5: Area, Volume, and Surface Area Problems
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic D: Nets and Surface Area
Lesson 13
Using the formulas for
volume
6.G.2 (Identifying Volume of
Rectangular Prisms with Fractional Side
Lengths)
Focus 4: Comparing Volumes of
Rectangular Prisms
Focus 5: Solving Real-World Problems
That Involve Volume
Lesson 14
Volume in the real world.
6.G.2 (Identifying Volume of
Rectangular Prisms with Fractional Side
Lengths)
SLA 6.G.2
Focus 6: Finding the Volume of a
Composite Figure
Lesson 15
Representing 3-D figures
using nets.
6.G.4 (Identifying Surface Area Using
Nets)
Focus 1: Identifying Vertices, Faces, and
Edges of 3D Figures
Focus 6: Matching Descriptions, Figures,
and Nets
Lesson 16
Constructing nets of 3-D
figures.
6.G.4 (Identifying Surface Area Using
Nets)
Focus 2: Building a Shape Using a Net
Focus 3: Deconstructing a Shape to Form
a Net
Lesson 17
Transition from nets to
surface area.
Finding the Surface Area of 3D
Figures Using Nets
6.G.4 (Identifying Surface Area Using
Nets)
Finding Surface Area of
3-D Figures Involving
Nets
Finding Surface Area of 3-D
Figures Using Nets
Think Outside the
Box
Focus 4: Using Nets to Find Surface Area
Focus 5: Comparing Surface Areas
Lesson 18
Finding the surface area of
3-D figures.
6.G.4 (Identifying Surface Area Using
Nets)
Focus 7: Identifying the Surface Area
within a Context
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 6: Statistics
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic A: Understanding Distributions
Lesson 1
Posing statistical
questions.
Recognizing Statistical
Questions
6.SP.1 (Statistical Questions)
Recognizing Statistical
Questions
Recognizing Statistical
Questions
SLA 6.SP.1
Focus 1: Defining Statistical Questions
Focus 2: Identifying and Formulating
Statistical Questions
Focus 3: Categorical and Numerical Data
Focus 4: Anticipating the Type of Data
Required to Answer Statistical Questions
Focus 5: Collecting the Data Required to
Answer Statistical Questions
Focus 6: Statistical Questions Anticipate
Variability
Lesson 2
Displaying a data
distribution.
6.SP.3 (Calculating Measures of Center)
Focus 2: Taking Data from a Dot Plot and
Finding the Measures of Center
Lesson 3
Creating a dot plot.
6.SP.4 (Visualizing Univariate Data)
Focus 1: Making a Dot Plot from a Table
of Values
Focus 2: Making and Interpreting Dot
Plots
Lesson 4
Creating a histogram.
6.SP.4 (Visualizing Univariate Data)
Focus 3: Using Histograms to Visually
Interpret Data
Focus 4: How Interval Size Affects the
Shape of a Histogram
6.SP.5 (Interpreting Data Sets)
Focus 1: Identifying the Number of
Observations
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 6: Statistics
EngageNY Lessons
Lesson 5
TenMarks Resources
Assignments
Describing the distribution
displayed in a histogram.
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
6.SP.5 (Interpreting Data Sets)
Focus 6: How Shape Affects Measures of
Center
Topic B: Summarizing a Distribution that
is Approximately Symmetric Using the
Mean and Mean Absolute Deviation
Lesson 6
Describing the center of
distribution using the
mean.
6.SP.3 (Calculating Measures of Center)
Focus 6: Identifying Missing Data Values
When Given the Mean
Lesson 7
Using the mean as a
balance point.
Lesson 8
Describing variability in a
distribution.
Lesson 9
The mean absolute
deviation (MAD)
6.SP.5 (Interpreting Data Sets)
Focus 4: Measuring Variability: Mean
Absolute Deviation
Lesson 10
Lesson 11
Describing distributions
using the mean and MAD
Measures of Center and
Variability: Shape Data Display
6.SP.5 (Interpreting Data Sets)
Comparing Two Data
Sets: Median & IQR
Identifying the Best Measure of
Center and Variability to Use
Focus 7: Interpreting Data Using the
Mean and MAD
Comparing Two Data
Sets: Mean & Mad
Describing a Data Set Using
Measures of Center
6.SP.3 (Calculating Measures of Center)
Recognize Measures of
Center and Variation
Using Center, Spread, and
Shape to Describe Data
Distribution
Focus 1: Introduction to Mean, Median,
and Mode
Measures of Center
Describing distributions
using the mean and MAD
Topic C: Summarizing a Distribution that
is Skewed Using the Median and
Interquartile Range
Lesson 12
Describing the center of
distribution using the
median.
Recognizing Measures of
Center & Measures of Variation
Use Mean, Median,
Mode, and Range
SLA 6.SP.3
Focus 3: Finding the Mean, Median, and
Mode from a Set of Data Values
Focus 5: Finding the Median of an Even
Number of Data Values
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 6: Statistics
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Focus 8: Investigating the Effects of
Additional Data Values on Measures of
Center
6.SP.5 (Interpreting Data Sets)
Focus 5: Interpreting the Mean and
Median
Focus 9: Which Measure of Center is
Better?
Lesson 13
Describing variability using
the interquartile range.
6.SP.3 (Calculating Measures of Center)
Focus 7: Range as a Measure of Spread
6.SP.5 (Interpreting Data Sets)
Focus 3: Measuring Variability: IQR and
Range
Focus 8: Interpreting Data Using the
Median and IQR
Lesson 14
Summarizing a distribution
using a box plot.
6.SP.4 (Visualizing Univariate Data)
Focus 5: Making Box Plots
Lesson 15
Lesson 16
Using box plots to describe
a distribution.
Displaying Numerical Data
6.SP.4 (Visualizing Univariate Data)
Displaying Numerical
Data: Line Plots and
Histograms
Displaying Data Using Line
Plots and Histograms
Focus 6: Interpreting Data in Box Plots
Displaying Numerical
Data: Box Plots
Displaying Data Using Box Plots
SLA 6.SP.4
Using box plots to
compare two distributions.
Topic D: Summarizing and Describing
Distributions
Lesson 17
Developing a statistical
project
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 6: Statistics
EngageNY Lessons
Lesson 18
Lesson 19
Lesson 20
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Connecting graphical
representations and
numerical summaries.
Comparing data
distributions.
Describing center,
variability, and shape of a
data distribution from a
6.SP.5 (Interpreting Data Sets)
SLA 6.SP.5
Focus 10: Interpreting Skewed Data Sets
Lesson 21
Lesson 22
Summarizing a data
distribution by describing
center, variability, and
Presenting a summary of a
statistical project.
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