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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
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
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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
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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
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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
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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
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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
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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
Assignments Lessons Amplifiers Videos Jam Sessions Labs Assessments
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
TenMarks Resources
Topic A: Understanding Distributions
EngageNY Lessons
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 6: Statistics
Assignments Lessons Amplifiers Videos Jam Sessions Labs Assessments
TenMarks ResourcesEngageNY Lessons
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
Assignments Lessons Amplifiers Videos Jam Sessions Labs Assessments
TenMarks ResourcesEngageNY Lessons
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
TenMarks -- EngageNY/Eureka Math Alignment Guide Page 21
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TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 6
EngageNY Module 6: Statistics
Assignments Lessons Amplifiers Videos Jam Sessions Labs Assessments
TenMarks ResourcesEngageNY Lessons
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