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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7
EngageNY Module 1: Ratios and Proportional Relationships
EngageNY Lessons
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Lessons
Amplifiers
Videos
Jam Sessions
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Assessments
Topic A: Proportional Relationships
Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Understand equivalent
ratios, rate, and unit
rate related to a
Understand
proportional
relationships.
Identifying Proportional
and Non-Proportional
Relationships in Tables
Identifying Proportional
and Non-Proportional
Relationships in Tables
Identifying Proportional
and Non-Proportional
Relationships in
Representing Proportional
Relationships
Focus 1: Proportional, or Not
Proportional, That is the Question
Identifying Proportional
Relationships
Representing Proportional
Relationships
Identifying Proportional
Relationships
Focus 2: Relating Tables and Graphs of
Proportional Relationships
Proportional Relationships
Using Graphs and Equations
Proportional
Reasoning
Proportional Relationships
Using Tables
Identifying if a Table of
Values Represents Direct
Variation
Lesson 6
Identifying Proportional
and Non-Proportional
Relationships in
Topic B: Unit Rate and Constant of
Proportionality
Lesson 7
Unit Rate as the
Constant of
Proportionality
Representing Proportional
Relationships Graphically
Representing Proportional
Relationships
Identifying the
Constant of
Proportionality
Focus 3: Relating the Constant of
Proportionality and the Unit Rate
Identifying Ratios Using
Tables and Graphs
Proportional Relationships
Using Graphs and Equations
Focus 4: Identifying the Constant of
Proportionality Using a Graph
Lesson 8
Representing
Proportional
Relationships with
Equations
Identifying the Constant of
Proportionality
Representing Proportional
Relationships
Identifying the
Constant of
Proportionality
Focus 5: Using Unit Rate to Write
Equations
Identifying Ratios Using
Tables and Graphs
Proportional Relationships
Using Graphs and Equations
Lesson 9
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TenMarks -- EngageNY/Eureka Math (Copyright 2015) Alignment Guide
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7
EngageNY Module 1: Ratios and Proportional Relationships
EngageNY Lessons
Lesson 10
Interpreting Graphs
and Proportional
Relationships
TenMarks Resources
Assignments
Representing Proportional
Relationships Algebraically
Lessons
Representing Proportional
Relationships
Amplifiers
Videos
Identifying the
Constant of
Proportionality
Representing Proportional
Relationships Algebraically
Scaled Figures
Understanding Proportional
Reasoning and Scale
Drawings
Jam Sessions
Labs
Assessments
SLA 7.RP.2
Focus 6: Writing Equations and
Graphing Proportional Relationships
Topic C: Ratios and Rates Involving
Fractions
Lesson 11
Ratios of Fractions and
Their Unit Rates
Calculating Unit Rates with Ratios of
Fractions
Focus 3: Identifying the Quicker Rate
Lesson 12
Ratios of Fractions and
Their Unit Rates
Calculating Unit Rates with Ratios of
Fractions
Focus 4: Determining Speed Using
Fractional Values
Lesson 13
Lesson 14
Lesson 15
Finding Equivalent
Ratios Given the Total
Quantity
Multi-Step Ratio
Problems
Equations of Graphs of
Proportional
Relationships Involving
Topic D: Ratios of Scale Drawings
Lesson 16
Lesson 17
Lesson 18
Relating Scale
Drawings to Ratios and
Rates
The Unit Rate as the
Scale Factor
Compute actual
lengths of a scale
drawing.
Scale Drawings
Proportional Reasoning with
Scale Drawings
Focus 1: Understanding the
Relationships Between Proportionality
and Scale Drawings
Scale Drawings
Focus 3: Identifying a Scale Drawing or
an Actual Image Given a Scale Factor
Lesson 19
Computing actual
areas of a scale
drawing.
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Scale Drawings
Applying Proportional
Reasoning to Scale Drawings
Picture Perfect
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7
EngageNY Module 1: Ratios and Proportional Relationships
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Focus 2: Understanding Scale Factor
and the Impact of Scale on Side
Lengths and Area
Lesson 20
Create a scale drawing
given a top-view.
Scale Drawings
SLA 7.G.1
Focus 5: Applying Scale to Identify
Dimensions and Area
Lesson 21
Lesson 22
Create a scale drawing
of a different scale
given a scale drawing.
Scale Drawings
Focus 4: Reproducing Scale Drawings
Using Different Scales
Create a scale drawing
of a different scale
given a scale drawing.
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7
EngageNY Module 2: Rational Numbers
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic A: Addition and Subtraction of
Integers and Rational Numbers
Lesson 1
Opposite Quantities
Combine to Make Zero
Reasoning Rationally: Addition and
Subtraction of Rational Numbers
Focus 2: Opposites Attract:
Understanding Additive Inverses
Lesson 2
Using the Number Line
to Model the Addition
of Integers
Understanding and
Identifying Opposite
Quantities
Reasoning Rationally: Addition and
Subtraction of Rational Numbers
Opposite Numbers
Identifying Opposite
Numbers Using a Number
Line
Find Opposite Integers
Focus 1: A Number and Its Opposite:
Adding Opposites on the Number Line
Lesson 3
Understanding
Addition of Integers
Reasoning Rationally: Addition and
Subtraction of Rational Numbers
Hole Numbers
Focus 4: Thrilling Addition: Using a
Number Line to Find the Sum
Lesson 4
Lesson 5
Lesson 6
Efficiently Adding
Integers and Other
Rational Numbers
Understanding
Subtraction of Integers
and Other Rational
Numbers
Understanding Addition of
Rational Numbers
The Distance Between
Two Rational Numbers
Understanding Subtraction
of Rational Numbers
Reasoning Rationally: Addition and
Subtraction of Rational Numbers
Adding Rational
Numbers
Addition and Subtraction of
Rational Numbers Using a
Number Line
Subtracting Rational
Numbers
Addition and Subtraction of
Rational Numbers Using a
Number Line
Applying Addition and
Subtraction to Rational
Numbers
Addition and Subtraction of
Rational Numbers Using a
Number Line
Focus 5: It's All the Same: Identifying
Equivalent Expressions
Reasoning Rationally: Addition and
Subtraction of Rational Numbers
Focus 6: Finding the Difference to Go
the Distance
Lesson 7
Addition and
Subtraction of Rational
Numbers
Applying Addition and
Subtraction to Rational
Numbers
Reasoning Rationally: Addition and
Subtraction of Rational Numbers
SLA 7.NS.1
Focus 7: Finding the Right Balance
Lesson 8
Applying the Properties
of Operations to Add
and Subtract Rational
Lesson 9
Applying the Properties
of Operations to Add
and Subtract Rational
Topic B: Multiplication and Division of
Integers and Rational Numbers
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7
EngageNY Module 2: Rational Numbers
EngageNY Lessons
Lesson 10
TenMarks Resources
Assignments
Understanding
Multiplication of
Integers
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Reasoning Rationally: Multiplication
and Division of Rational Numbers
Focus 1: Multiplying Negative and
Positive Integers
Lesson 11
Lesson 12
Develop Rules for
Multiplying Signed
Numbers
Division of Integers
Understanding Division of
Integers
Reasoning Rationally: Multiplication
and Division of Rational Numbers
Understanding Division
of Integers
Understanding Division of
Integers
Applying Division to Integers Reasoning Rationally: Multiplication
and Fractions
and Division of Rational Numbers
Dividing Rational
Numbers
Dividing Two Fractions
Applying Multiplication and
Division to Rational
Numbers
Understanding Division
of Integers
Dividing Fractions and Whole
Numbers
Understanding
Multiplication of
Integers
Understanding Division of
Integers
Multiply and Divide
Integers
Focus 3: Establishing the Rules for
Dividing Integers
Lesson 13
Lesson 14
Lesson 15
Converting Between
Fractions and Decimals
Using Equivalent
Converting Rational
Numbers to Decimals
Using Long Division
Multiplication and
Division of Rational
Numbers
Reasoning Rationally: Multiplication
and Division of Rational Numbers
Focus 6: Writing the Quotient as a
Decimal and Identifying Terminating
and Repeating Decimals
Focus 4: Dividing Rational Values
Applying Multiplication and
Division to Rational Numbers
Lesson 16
Applying the Properties
of Operations to
Multiply and Divide
Rational Numbers.
Understanding
Multiplication of Fractions
Reasoning Rationally: Multiplication
and Division of Rational Numbers
Applying Multiplication to
Integers and Fractions
Focus 5: Multiplying and Dividing
Negative Numbers
Comparing Algebraic
Solutions to Arithmetic
Solutions
Solving Multi-Step Algebraic
Equations
Understanding
Multiplication of
Fractions
Understanding Multiplication
of Fractions
Applying Multiplication to
Integers and Fractions
Topic C: Applying Operations with
Rational Numbers to Expressions and
Equations
Lesson 17
Use tape diagrams to
solve equations.
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Identifying Consecutive Comparing Algebraic and
Numbers
Arithmetic Strategies
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7
EngageNY Module 2: Rational Numbers
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Focus 1: Comparing Algebraic and
Arithmetic Strategies
Lesson 18
Lesson 19
Lesson 20
Lesson 21
Lesson 22
Write and evaluate
equivalent expressions
with rational numbers
Identifying Multiple Forms of Writing Equivalent Expressions to
an Expression
Interpret Quantities within a Context
Write and evaluate
equivalent expressions
with rational numbers
Writing Equivalent Expressions to
Interpret Quantities within a Context
Make calculations with
rational numbers to
solve problems related
Use the properties of
equality to write an
equivalent number
Solve equations by
using algebraic
properties.
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Solving Multi-Step
Equations Algebraically
Finding Multiple Forms
of an Expression
Identifying Multiple Forms of
an Expression
SLA 7.EE.2
Solving Multi-Step
Equations with
Fractions and Decimals
Solving Equations and Using
Substitution
SLA 7.EE.4
Focus 5: Writing Equivalent Expressions
with Multiple Variables Given a Context
Focus 3: Interpreting Equivalent
Expressions in Terms of a Context
Solving Multi-Step Equations Solving Multi-Step Algebraic
with Fractions and Decimals Equations
Focus 5: Solving Multi-Step Equations
with Rational Numbers
Lesson 23
Solve equations by
using algebraic
properties.
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7
EngageNY Module 3: Expressions and Equations
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Expanding and Factoring Linear
Expressions with Rational Coefficients
Understanding
Algebraic Expressions
Videos
Jam Sessions
Labs
Assessments
Topic A: Use Properties of
Operations to Generate Equivalent
Expressions
Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Generate equivalent
expressions using
algebraic properties.
Generate equivalent
expressions using
algebraic properties.
Use models to write
products as sums and
sums as products.
Use models to write
products as sums and
sums as products.
Use the identity
properties to write
equivalent
Rewrite rational
number expressions by
collecting like terms
and using the
Solve & Expand: Linear
Expressions with Rational
Coefficients
Focus 4: Writing an Equivalent
Expression Using the Distributive
Property and Combining Like Terms
Solving Expressions with
Rational Coefficients
The Distributive Property
Focus 5: Equivalent Expressions with
Multiple Variables
Topic B: Solve Problems Using
Expressions, Equations, and
Inequalities
Lesson 7
Lesson 8
Understand equations
and solve word
problems with
Use the properties of
equality to solve
equations. Solve
equations with rational
Solving Multi-Step Algebraic
Equations
Solve 1-Step Equations
Focus 2: Using Algebraic Expressions to
Solve Problems
Solving One-Step Equations:
Addition and Subtraction
Solving Multi-Step Algebraic
Equations
Solving One-Step
Equations – Addition
and Subtraction
Solving One-Step Linear
Equations
Solving One-Step Equations:
Multiplication and Division
Focus 4: Writing and Solving Two-Step
Equations
Solving One-Step
Equations –
Multiplication and
Division
Solving Equations and Word
Problems
Using Equations to Solve
Word Problems
Solving Multi-Step
Solving Equations and Using
Equations Algebraically Substitution
Reviewing One-Step Linear
Equations
Identifying Consecutive
Numbers
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7
EngageNY Module 3: Expressions and Equations
EngageNY Lessons
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Use the properties of
equality to solve
equations. Solve
equations by rewriting
TenMarks Resources
Assignments
Lessons
Amplifiers
Solving Multi-Step Equations
with Integers
Solving Multi-Step
Equations with
Fractions and
Solving Multi-Step Equations Solving Multi-Step Algebraic
with Fractions and Decimals Equations
Solving Multi-Step
Equations with
Fractions and
Videos
Solving Equations and Using
Substitution
Jam Sessions
Labs
Assessments
Solve Equations with
Variables on Both
Sides
Focus 5: Solving Multi-Step Equations
with Rational Numbers
Use equations to
determine an unknown
angle in a figure.
Solving Problems with Angles
Use equations to
determine an unknown
angle in a figure.
Solving Problems with Angles
Understand and justify
the properties of
inequalities.
Solving Multi-Step Algebraic
Inequalities
Understand and
interpret inequalities.
Solving Multi-Step Algebraic
Inequalities
Focus 4: Solving Multi-Step Problems
with Angles
SLA 7.G.5
Focus 5: Solving Word Problems with
Angles
Multiply and Divide
Integers
Focus 3: Multiplying and Dividing
Inequalities by Negative Numbers
Focus 5: Solving Word Problems with
Algebraic Inequalities
Focus 4: Translating Verbal Expressions
into Algebraic Inequalities
Lesson 14
Lesson 15
Solve word problems
involving inequalities
and rational numbers.
Solving Multi-Step Algebraic
Inequalities
Graph solutions to
inequalities and
interpret the solution.
Solving Multi-Step Algebraic
Inequalities
Focus 2: Using Inverse Operations to
Solve Algebraic Inequalities
Focus 1: Understanding Solution Sets to
Inequalities
Topic C: Use Equations and
Inequalities to Solve Geometry
Problems
Lesson 16
Understand the
definition of a circle
and approximate pi.
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Area and Circumference of Circles
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7
EngageNY Module 3: Expressions and Equations
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Focus 1: Introduction to Circles
Focus 2: Discovering Pi and the
Formula for Circumference
Lesson 17
Find the area of a circle
and solve problems.
Area and Circumference of Circles
Focus 5: Discovering the Formula for
the Area of a Circle
Focus 6: Finding the Area of a Circle
Lesson 18
Lesson 19
Lesson 20
Lesson 21
Lesson 22
Lesson 23
Lesson 24
Lesson 25
Lesson 26
Solve area and
perimeter problems
with shapes involving
circles, semicircles, and
Find the areas of
polygonal regions on
Find composite areas
of simple polygonal
regions on the
Find the surface area
of three-dimensional
objects.
Find the surface area
of three-dimensional
objects, specifically
Determine the volume
of right prisms.
Area and Circumference of a
Circle
Finding Area
Area and Circumference of Circles
Circumference of a
Circle
Understanding and
Identifying Area and
Circumference of a Circle
Focus 7: Finding the Area of a Circle in
Context
Area of a Circle
Area, Volume, and Surface Area
Area of Parallelograms
& Triangles
Finding the Area of
Composite Figures
Area, Volume, and Surface Area
Finding the Surface
Area of Prisms
Finding Surface Area of 3-D
Figures Using Nets
Focus 6: Finding the Surface Area of a
Composite Figure in Context
Understanding the
Surface Area of a
Cylinder
Area, Volume, and Surface Area
Finding the Volume of
Square and
Rectangular Pyramids
Focus 4: Finding the Volume of NonRectangular Prisms
Identifying Volume of a Finding the Volume of
Rectangular Prism with Rectangular Prisms
Fractional Side Lengths
SLA 7.G.4
Focus 2: Finding the Area of a Figure in
Context
Finding Surface Area
Finding Volume
Determine the volume
of right prisms and
Determine volume and
surface area of threedimensional solids.
Identifying Volume of Prisms
and Pyramids
Area, Volume, and Surface Area
Focus 3: Finding a Cube's Dimensions
and Surface Area from Its Volume
Determine volume and
surface area of threedimensional solids.
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7
EngageNY Module 4: Percent and Proportional Relationships
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic A: Finding the Whole
Lesson 1
Lesson 2
Understand percents
and convert between
fraction, decimals, and
Solve percent
problems using
expressions,
Lesson 3
Comparing Quantities
with Percent
Lesson 4
Percent Increase and
Decrease
Solving Multi-Step Ratio and Percent
Problems
Focus 1: Using Algebraic Equations to
Answer Percent Problems
Solving Multi-Step Ratio and Percent
Problems
Focus 6: Solving Problems with Percent
Increase
Lesson 5
Lesson 6
Finding One Hundred
Percent Given Another
Percent
Solving Multi-Step Ratio and Percent
Problems
Focus 2: Discounts at the Register
Fluency with Percents
Topic B: Percent Problems Including
More Than One Whole
Lesson 7
Markup and Markdown
Problems
Lesson 8
Percent Error Problems
Lesson 9
Problem Solving When
the Percent Changes
Lesson 10
Simple Interest
Representing Proportional
Relationships Algebraically
Solving Multi-Step Ratio and Percent
Problems
Identifying the
Constant of
Proportionality
Tax, Commissions,
Fees, and Other RealWorld Percent
SLA 7.RP.3
Focus 8: Percent Error
Calculating Percent
Solving Multi-Step Ratio and Percent
Problems
Proportional Reasoning Percent Relationships
Focus 7: Simple Interest
Lesson 11
Representing Proportional
Relationships Algebraically
Proportional Reasoning With
Percents
Proportional Reasoning with
Percents
Solving Multi-Step Ratio and Percent
Problems
Proportional Reasoning Proportional Reasoning With
Percents
Properties of Operations:
Rational Numbers Word
Problems
Focus 4: Solving Word Problems
Involving Commission
Solving Multi-Step
Equations Involving
Order of Operations
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Understanding Proportions
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7
EngageNY Module 4: Percent and Proportional Relationships
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Understanding Multi-Step Problems
Applying Properties of
Operations to Rational
Numbers
Focus 5: Estimating the Bill
Comparing Algebraic and
Arithmetic Strategies
Jam Sessions
Labs
Assessments
Focus 4: Calculating the Sale Price
Topic C: Scale Drawings
Lesson 12
Lesson 13
Lesson 14
Use the scale factor as
a percent for a scale
drawing.
Scale Drawings
Given two or three
drawings, compute the
related scale factor.
Scale Drawings
Compute the lengths
of an actual picture
given a scale drawing.
Focus 1: Understanding the
Relationships Between Proportionality
and Scale Drawings
Focus 4: Reproducing Scale Drawings
Using Different Scales
Proportional Reasoning with
Scale Drawings
Scale Drawings
Focus 3: Identifying a Scale Drawing or
an Actual Image Given a Scale Factor
Lesson 15
Solve area problems
related to scale
drawings and percents.
Scaled Figures
Understanding Proportional
Reasoning and Scale
Drawings
Applying Proportional
Reasoning to Scale Drawings
Scale Drawings
Focus 2: Understanding Scale Factor
and the Impact of Scale on Side
Lengths and Area
Topic D: Population, Mixture, and
Counting Problems Involving
Percents
Lesson 16
Lesson 17
Lesson 18
Solve percent word
problems related to
populations of people
Solve percent word
problems related to
mixtures.
Solve counting
problems related to
computing percents.
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EngageNY Module 5: Statistics and Probability
TenMarks Resources
EngageNY Lessons
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic A: Calculating and Interpreting
Probabilities
Lesson 1
Understand probability
is a number between 0
and 1 that represents
Introduction to Probability
Focus 1: Understanding Likelihood
Focus 2: Representing Likelihood with a
Number
Lesson 2
Estimate probabilities
by collecting data.
Experimental Probability and Relative
Frequency
Focus 5: Using Probability Models to
Make Predictions
Lesson 3
Lesson 4
Lesson 5
Chance experiments
and equally likely
outcomes.
Experimental Probability and Relative
Frequency
Calculate probabilities
for chance
experiments with
Theoretical Probability Models: Simple
Events
Calculate probabilities
for chance
experiments with
outcomes that are not
Focus 1: Statistical Experiments
Focus 4: Differentiating Between
Uniform and Non-Uniform Probability
Models
Using Uniform Models to
Calculate Probability
Theoretical Probability Models: Simple
Events
Probability Models
Using Uniform and NonUniform Models to Calculate
Probability
Finding the Probability
of Compound Events
Understanding Compound
Events
Focus 2: Identifying Favorable
Outcomes and Calculating Probabilities
Focus 5: Understanding Complimentary
Events
Lesson 6
Lesson 7
Use tree diagrams to
represent a sample
space and calculate
Identifying the Probability of
Compound Events
Calculate probabilities
of compound events.
Theoretical Probability: Compound
Events
Focus 4: Using a Tree Diagram to
Understanding Sample
Diagram Compound Events with Equally Space
Likely Outcomes
Theoretical Probability: Compound
Events
Focus 5: Using Multiplication to Find the
Probability of Compound Events
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7
EngageNY Module 5: Statistics and Probability
TenMarks Resources
EngageNY Lessons
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Focus 6: Multiplying to Find
Probabilities of Compound Events with
Outcomes That Are Not Equally Likely
Topic B: Estimating Probabilities
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Understand the
difference between
theoretical probabilities
Compare estimated
probabilities to
probabilities predicted
Conduct a simulation
to estimate the
probability of an event.
Design simulations and
estimate the probability
of an event.
Experimental Probability and Relative
Frequency
Focus 4: What Happens When Trial Size
Increases?
Theoretical Probability: Compound
Events
Flip to Win
SLA 7.SP.8
Focus 8: Create a Simulation to Model
Compound Events
Lesson 12
Make informed
decisions and
determine if a given
Topic C: Random Sampling and
Estimating Population Characteristics
Lesson 13
Lesson 14
Differentiate and
generalize from a
sample to a population.
Populations and Samples
How to select a
sample.
Populations and Samples
Focus 1: Recognizing the Difference
between a Sample and Its Population
Focus 2: How to Determine If a Sample
Represents Its Population
Focus 3: Knowing That Representative
Samples Must Be Generated Randomly
Lesson 15
Select a random
sample from a
population and
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Populations and Samples
Focus 5: Using Population
Characteristics and Sample Statistics to
Make Valid Claims
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EngageNY Module 5: Statistics and Probability
TenMarks Resources
EngageNY Lessons
Lesson 16
Assignments
Methods for selecting a
random sample.
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Creating and Using Random Samples
to Draw Inferences and Analyze
Sampling Variability
Focus 1: Determining Methods for
Generating a Random Sample
Lesson 17
Lesson 18
Lesson 19
Understand sampling
variability and use data
from a random sample
Estimate a population
mean and understand
the effect of a sample
size.
Creating and Using Random Samples
to Draw Inferences and Analyze
Sampling Variability
Focus 4: Examining the Variability of
Multiple Samples of the Same Size
Understand variability
when estimating a
population proportion.
Creating and Using Random Samples
to Draw Inferences and Analyze
Sampling Variability
Focus 5: Verifying Random Sampling by
Comparing the Shape and Center of
Sample Data to the Population
Lesson 20
Use data to estimate a
population proportion.
Topic D: Comparing Populations
Lesson 21
Understand a
meaningful difference
between two sample
means.
Understanding Overlap of
Data Distributions
Comparing Two Data Sets
Focus 1: Visually Comparing Two Dot
Plots that Overlap
Comparing Two Data
Sets: Mean & Mad
Understanding Mean and
Mean Absolute Deviation
Graphically
SLA 7.SP.3
Understanding the
Interquartile Range and
Median Graphically
Focus 2: Visually Comparing Two Dot
Plots with No Overlap
Focus 4: Diving into Difference Understanding the MAD
Focus 5: Numerically Comparing Two
Data Sets
Focus 6: When is the Difference in Two
Means Meaningful?
Lesson 22
Use data from random
samples to compare
the means of two or
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Comparing Two Populations by
Interpreting Sample Data
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7
EngageNY Module 5: Statistics and Probability
TenMarks Resources
EngageNY Lessons
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Focus 1: Visually Comparing Two
Sample Distributions to Make
Inferences about a Population
Lesson 23
Use sample data to
draw informal
inferences about the
difference in
Measures of Center and
Variability to Draw
Inferences
Comparing Two Populations by
Interpreting Sample Data
Comparing Two Data
Sets: Median & IQR
Focus 4: Investigating If Two
Populations Are Distinct by Comparing
Sample Means and MAD Values
Comparing Two Data
Sets: Mean & Mad
Finding the Measures of
Center and Variability of Data
Sets
SLA 7.SP.4
Focus 5: Numerically Comparing
Sample Means and MAD Values to
Determine If Two Populations Are
Different
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Page 15
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7
EngageNY Module 6: Geometry
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Topic A: Unknown Angles
Lesson 1
Solve for unknown
angles involving
complementary and
Solving Problems with Angles
Focus 1: Identifying Vertical and
Adjacent Angles
Focus 2: Complementary and
Supplementary Angles
Lesson 2
Lesson 3
Lesson 4
Solve for unknown
angles in diagrams and
context involving
Solve for unknown
angles using all
learned angle facts.
Solve for unknown
angles using all
learned angle facts.
Solving Problems with Angles
Focus 3: Solving Problems with
Complementary and Supplementary
Angles
Solving Problems with Angles
Focus 4: Solving Multi-Step Problems
with Angles
Solving Problems with Angles
Focus 5: Solving Word Problems with
Angles
Topic B: Constructing Triangles
Lesson 5
Lesson 6
Lesson 7
Use a triangle
correspondence to
recognize when two
Use a compass,
protractor, and ruler to
draw geometric
Draw parallelograms
with given conditions.
Angle Wranglin'
Constructing Triangles and
Quadrilaterals
SLA 7.G.2
Focus 10: Constructing a Quadrilateral
Lesson 8
Draw triangles using
different criteria.
Constructing Triangles and
Quadrilaterals
Focus 4: Understanding Unique
Triangles
Focus 5: Understanding Constructions
Given a Combination of Angles and
Sides
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Page 16
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7
EngageNY Module 6: Geometry
EngageNY Lessons
Lesson 9
Lesson 10
Lesson 11
Lesson 12
TenMarks Resources
Assignments
Lessons
Understand that two
triangles are identical if
three sides or two
Constructing Triangles and
Quadrilaterals
Understand that two
triangles are identical if
two angles and a given
Constructing Triangles and
Quadrilaterals
Understand the
conditions on
measurements that
Constructing Triangles and
Quadrilaterals
Understand that two
sides and a nonincluded angle may not
Constructing Triangles and
Quadrilaterals
Lesson 13
Check if two triangles
are identical.
Lesson 14
Check if two triangles
are identical.
Lesson 15
Use unique triangles to
solve real-world
problems.
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Focus 7: Constructing a Triangle, Given
2 Sides and 1 Included Angle
Focus 6: Constructing a Triangle, Given
2 Angles and an Included Side
Focus 3: Will Any 3 Lengths Form a
Triangle?
Focus 9: Do 2 Side Lengths and a NonIncluded Angle Determine Uniqueness?
Topic C: Slicing Solids
Lesson 16
Lesson 17
Lesson 18
Slice a right
rectangular prism by a
plane perpendicular to
Slice a right
rectangular pyramid by
a plane perpendicular
to the base or parallel
Slicing Three-Dimensional Figures
Focus 2: Parallel and Perpendicular
Cuts to a Right Rectangular Prism
Plane Sections of
Rectangular Prisms and
Pyramids
Slice a right
rectangular prism or
pyramid by a plane not
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Page 17
Slicing Three-Dimensional Figures
Cross Sections of
Pyramids and Prisms
Plane Sections of Rectangular
Prisms and Pyramids
Focus 3: Parallel and Perpendicular
Cuts to a Right Rectangular Pyramid
Slicing Three-Dimensional Figures
Focus 4: Non-Parallel and NonPerpendicular Cuts to Right Rectangular
Prisms
SLA 7.G.3
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7
EngageNY Module 6: Geometry
EngageNY Lessons
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Jam Sessions
Labs
Assessments
Focus 5: Non-Parallel and NonPerpendicular Cuts to Right Rectangular
Pyramids
Lesson 19
Describe 3D figures
built from cubes.
Topic D: Problems Involving Area and
Surface Area
Lesson 20
Lesson 21
Lesson 22
Lesson 23
Determine the area of
composite figures in
real-life context.
Use area properties to
justify the distributive
property to expand the
Find the area of
composite figures and
of missing regions.
Finding Area
Area and Circumference of a
Circle
Find the surface area
of 3D figures.
Area, Volume, and Surface Area
Area of Parallelograms
& Triangles
Focus 2: Finding the Area of a Figure in
Context
Area of Trapezoids
Area and Circumference of Circles
Circumference of a
Circle
Focus 7: Finding the Area of a Circle in
Context
Area of a Circle
Finding the Area of
Composite Figures
Understanding and
Identifying Area and
Circumference of a Circle
Area, Volume, and Surface Area
SLA 7.G.6
Focus 6: Finding the Surface Area of a
Composite Figure in Context
Lesson 24
Find the surface area
of 3D figures.
Topic E: Problems Involving Volume
Lesson 25
Lesson 26
Volume of Right Prisms
Volume of Composite
Three-Dimensional
Objects
Finding Volume
Finding Area, Volume,
Surface Area of Composite
Figures
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Page 18
Area, Volume, and Surface Area
Finding the Volume of
Square and
Rectangular Pyramids
Identifying Volume of Prisms
and Pyramids
Focus 4: Finding the Volume of NonRectangular Prisms
Identifying Volume of a Finding the Volume of
Rectangular Prism with Rectangular Prisms
Fractional Side Lengths
Area, Volume, and Surface Area
Finding the Volume of
Composite Figures
Identifying Volume and
Surface Area of Composite
Figures
Focus 5: Finding the Volume of a
Composite Figure
Finding the Surface
Area of Prisms
Effects of Changing
Dimensions on Volume and
Surface Area
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7
EngageNY Module 6: Geometry
EngageNY Lessons
Lesson 27
TenMarks Resources
Assignments
Lessons
Amplifiers
Videos
Finding the Surface
Area of Composite
Figures
Finding the Area of
Composite Figures
Area of Parallelograms
& Triangles
Identifying Perimeter of
Composite and NonComposite Figures
Jam Sessions
Labs
Assessments
Real-World Volume
Problems
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