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EngageNY Module 1: Ratios and Unit Rate Assignments Lessons Amplifiers Videos Jam Sessions Labs Assessments 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. Lesson 9 6.PR.3a (Making Tables of Equivalent Ratios to Relate and Compare Quantities) Multiply Fractions and Whole Numbers EngageNY Lessons TenMarks Resources Topic A: Representing and Reasoning About Ratios Topic B: Collections of Equivalent Ratios TenMarks -- EngageNY/Eureka Math (Copyright 2015) Alignment Guide Page 1 www.tenmarks.com © TenMarks Education, LLC TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6 Is this guide helpful? Please complete this short five question survey to provide your feedback.

TenMarks EngageNY Alignment, Grade 6€¦ · EngageNY Module 1: Ratios and Unit ... Solving Percent Word Problems 6.RP.3c (Understanding Percent as a ... Lesson 29 Find a percent

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EngageNY Module 1: Ratios and Unit Rate

Assignments Lessons Amplifiers Videos Jam Sessions Labs Assessments

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.

Lesson 9 6.PR.3a (Making Tables of Equivalent Ratios to Relate and Compare Quantities)

Multiply Fractions and Whole Numbers

EngageNY LessonsTenMarks Resources

Topic A: Representing and Reasoning About Ratios

Topic B: Collections of Equivalent Ratios

TenMarks -- EngageNY/Eureka Math (Copyright 2015) Alignment Guide Page 1

www.tenmarks.com © TenMarks Education, LLC

TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6

Is this guide helpful? Please complete this short five question survey to provide your feedback.

EngageNY Module 1: Ratios and Unit Rate

Assignments Lessons Amplifiers Videos Jam Sessions Labs AssessmentsEngageNY Lessons

TenMarks Resources

Focus 2: Using Models to Create a Table

Focus 3: What's the Pattern?

Lesson 10 Identify the structure of a ratio table to make additional entries.

Lesson 11 Comparing different ratios using multiple ratio tables.

Lesson 12 Represent ratios on a double number line diagram.

Lesson 13 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 Identifying Ratios Using Tables and Graphs

Focus 5: Equations for Ratio Relationships

Ratios and Tables

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.

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

Topic C: Unit Rates

TenMarks -- EngageNY/Eureka Math Alignment Guide Page 2

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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6

EngageNY Module 1: Ratios and Unit Rate

Assignments Lessons Amplifiers Videos Jam Sessions Labs AssessmentsEngageNY Lessons

TenMarks Resources

Lesson 17 Associating unit rates and ratios.

6.RP.2 (Understand Unit Rates with a Ratio)

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 Interpreting rate as a division of two quantities to simplify multiplying a rate

Lesson 19 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 Rate

6.RP.3b (Solving Unit Rate Problems) 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

TenMarks -- EngageNY/Eureka Math Alignment Guide Page 3

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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6

EngageNY Module 1: Ratios and Unit Rate

Assignments Lessons Amplifiers Videos Jam Sessions Labs AssessmentsEngageNY Lessons

TenMarks Resources

Lesson 24 Understand that percents are related to a ratio that is a part out of 100.

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)

Expressing and Solving Percents

Percent Relationships

Focus 2: Percent Discounts Expressing Percents as Fractions, Decimals, and by Using Models

Lesson 27 Find a percent of a quantity or a whole using the part and percentage.

Percent Relationships 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 Find a percent of a quantity or a whole using the part and percentage.

Lesson 29 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

Assignments Lessons Amplifiers Videos Jam Sessions Labs Assessments

Lesson 1 Use visual models to divide a fraction by a whole number.

Lesson 2 Understand the difference between dividing a fraction by a whole number and

Lesson 3 Use visual models to divide fractions by fractions with common denominators.

Lesson 4 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.

Lesson 9 Add and subtract multi-digit 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.

TenMarks Resources

Topic A: Dividing Fractions by Fractions

Topic B: Multi-Digit Decimal Operations - Adding, Subtracting and Multiplying

EngageNY Lessons

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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6

EngageNY Module 2: Arithmetic Operations Including Division of Fractions

Assignments Lessons Amplifiers Videos Jam Sessions Labs Assessments

TenMarks ResourcesEngageNY Lessons

Lesson 11 Estimation of decimal products and the connection between

Add/Subtract/Multiply/Divide: Multi-Digit Decimals

6.NS.3 (Applying the Four Operations to Multi-Digit Decimals)

Add, Subtract, Multiply, Divide Multi-Digit Decimals

Multiplication and Division of Multi-Digit Decimals

SLA 6.NS.3

Estimating with All Operations: Multi-Digit Decimals

Focus 3: Using Patterns to Multiply Using Models to Divide 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

Using Models to Multiply Decimals

Using Models to Subtract 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

Topic C: Dividing Whole Numbers and Decimals

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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6

EngageNY Module 2: Arithmetic Operations Including Division of Fractions

Assignments Lessons Amplifiers Videos Jam Sessions Labs Assessments

TenMarks ResourcesEngageNY Lessons

Lesson 15 Using powers of 10 to aid in decimal placement and division of multi-digit

Lesson 16 Using even and odd to understand multiples and factors.

Lesson 17 Using divisibility rules for 3 and 9 to find factors and multiples.

Lesson 18 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.

Topic D: Number Theory – Thinking Logically About Multiplicative Arithmetic

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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6

EngageNY Module 3: Rational Numbers

Assignments Lessons Amplifiers Videos Jam Sessions Labs Assessments

Lesson 1 Positive and negative numbers on the number line.

Lesson 2 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 A: Understanding Positive and Negative Numbers on the Number Line

Topic B: Order and Absolute Value

EngageNY LessonsTenMarks Resources

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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6

EngageNY Module 3: Rational Numbers

Assignments Lessons Amplifiers Videos Jam Sessions Labs AssessmentsEngageNY Lessons

TenMarks Resources

Lesson 7 Ordering of integers and rational numbers.

Ordering Rational Numbers 6.NS.7 (Comparing Rational Numbers and Understanding Absolute Value)

Comparing Rational Numbers on a Number Line

Ordering and Comparing Rational Numbers

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)

Comparing Rational Numbers on a Number Line

Ordering and Comparing Rational Numbers

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)

Understanding Absolute Value

Understanding Absolute Value of Rational Numbers

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

Lesson 14 Ordered pairs. 6.NS.8 (Fun with the Four Quadrants)

Focus 1: Mapping With the Coordinate Plane

Topic C: Rational Numbers and the Coordinate Plane

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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6

EngageNY Module 3: Rational Numbers

Assignments Lessons Amplifiers Videos Jam Sessions Labs AssessmentsEngageNY Lessons

TenMarks Resources

Lesson 15 Locating ordered pairs on the coordinate plane.

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

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

SLA 6.NS.6

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

Solving Problems with Points on the Coordinate Plane

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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EngageNY Module 4: Expressions and Equations

Assignments Lessons Amplifiers Videos Jam Sessions Labs Assessments

Lesson 1 Understanding the relationship between addition and subtraction.

Lesson 2 Understanding the relationship between multiplication and division.

Lesson 3 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.

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

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.

EngageNY LessonsTenMarks Resources

Topic A: Relationships of the Operations

Topic B: Special Notations of Operations

Topic C: Replacing Letters and Numbers

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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6

EngageNY Module 4: Expressions and Equations

Assignments Lessons Amplifiers Videos Jam Sessions Labs AssessmentsEngageNY Lessons

TenMarks Resources

Lesson 9 Writing addition and subtraction expressions.

Lesson 10 Writing and expanding multiplication equations.

Lesson 11 Factoring expressions. Identify Equivalent Expressions: Distributive Property

6.EE.3 (Applying the Properties of Operations to Generate Equivalent Expressions)

Identifying Equivalent Expressions

Identifying Equivalent Expressions Using the Distributive Property

SLA 6.EE.3

Focus 5: Using Factoring to Solve Word Problems

Operations with Like Terms

Lesson 12 Distributing expressions. 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.

Lesson 15 Reading expressions in which letters stand for numbers.

Lesson 16 Writing expressions in which letters stand for numbers.

Topic D: Expanding, Factoring, and Distributing Expressions

Topic E: Expressing Operations in Algebraic Form

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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6

EngageNY Module 4: Expressions and Equations

Assignments Lessons Amplifiers Videos Jam Sessions Labs AssessmentsEngageNY Lessons

TenMarks Resources

Lesson 17 Writing expressions in which letters stand for numbers.

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

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)

Writing and Solving Equations with Variables

Identifying Expressions that Represent Situations

Focus 2: Using Algebraic Expressions to Represent a Real-World Context

Using Substitution to Determine Solutions

Lesson 22 Develop expressions involving exponents.

6.EE.1 (Write and Evaluate Numerical Expressions Involving Whole-Number Exponents)

Focus 2: Understanding Repeated Multiplication

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.

Topic G: Solving Equations

Topic F: Writing and Evaluating Expressions and Formulas

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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6

EngageNY Module 4: Expressions and Equations

Assignments Lessons Amplifiers Videos Jam Sessions Labs AssessmentsEngageNY Lessons

TenMarks Resources

Lesson 25 Finding solutions to make equations true.

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 One-Variable 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 One-Variable 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 One-Variable Equations)

Writing and Solving Equations with Variables

Identifying Expressions that Represent Situations

SLA 6.EE.7

Focus 4: Problem Solving with Inverse Operations

Using Substitution to Determine Solutions

Lesson 29 Multi-step problems using all the operations.

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

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

Topic H: Applications of Equations

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EngageNY Module 4: Expressions and Equations

Assignments Lessons Amplifiers Videos Jam Sessions Labs AssessmentsEngageNY Lessons

TenMarks Resources

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

Assignments Lessons Amplifiers Videos Jam Sessions Labs Assessments

Lesson 1 Finding the area of a parallelogram using rectangles.

Lesson 2 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

Finding the Area of Composite Figures

SLA 6.G.1

Focus 4: Composing a Figure to Find the Area

Area of Trapezoids

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

Lesson 7 Finding distance on the coordinate plane.

6.G.3 (Identifying Side Lengths in the Coordinate Plane)

TenMarks Resources

Topic B: Polygons on the Coordinate Plane

Topic A: Area of Triangles, Quadrilaterals, and Polygons

EngageNY Lessons

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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6

EngageNY Module 5: Area, Volume, and Surface Area Problems

Assignments Lessons Amplifiers Videos Jam Sessions Labs Assessments

TenMarks ResourcesEngageNY Lessons

Focus 1: Identifying Side Lengths of a Triangle

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

SLA 6.G.3

Focus 6: Get a Clue: Identifying Side Lengths in Context

Lesson 11 Volume with fractional edge lengths and unit cubes.

Finding the Volume of a Rectangular Prism

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

Lesson 12 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

Topic C: Volume of Right Rectangular Prisms

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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6

EngageNY Module 5: Area, Volume, and Surface Area Problems

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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

Topic D: Nets and Surface Area

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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6

EngageNY Module 6: Statistics

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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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Topic A: Understanding Distributions

EngageNY Lessons

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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6

EngageNY Module 6: Statistics

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Lesson 5 Describing the distribution displayed in a histogram.

6.SP.5 (Interpreting Data Sets)

Focus 6: How Shape Affects Measures of Center

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 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

Lesson 11 Describing distributions using the mean and MAD

Lesson 12 Describing the center of distribution using the median.

Recognizing Measures of Center & Measures of Variation

6.SP.3 (Calculating Measures of Center) Recognize Measures of Center and Variation

Using Center, Spread, and Shape to Describe Data Distribution

Use Mean, Median, Mode, and Range

SLA 6.SP.3

Focus 1: Introduction to Mean, Median, and Mode

Measures of Center

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

Topic B: Summarizing a Distribution that is Approximately Symmetric Using the Mean and Mean Absolute Deviation

Topic C: Summarizing a Distribution that is Skewed Using the Median and Interquartile Range

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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6

EngageNY Module 6: Statistics

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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 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

SLA 6.SP.4

Focus 6: Interpreting Data in Box Plots Displaying Numerical Data: Box Plots

Displaying Data Using Box Plots

Lesson 16 Using box plots to compare two distributions.

Lesson 17 Developing a statistical project

Topic D: Summarizing and Describing Distributions

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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6

EngageNY Module 6: Statistics

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Lesson 18 Connecting graphical representations and numerical summaries.

Lesson 19 Comparing data distributions.

Lesson 20 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 Summarizing a data distribution by describing center, variability, and

Lesson 22 Presenting a summary of a statistical project.

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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6