IXL skill plan | Level 6 plan for Eureka Math2 New York

Skill plan for Eureka Math² New York - Level 6

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1	Module 1 Ratios, Rates, and Percents
Topic A - Ratios
Lesson 1: Jars of Jelly Beans		1. Estimate products word problems: identify reasonable answers
Lesson 1: Jars of Jelly Beans
1. Estimate products word problems: identify reasonable answers

Lesson 2: Introduction to Ratios		1. Write a part-to-part ratio Also consider: • Which model represents the ratio?
Lesson 2: Introduction to Ratios
1. Write a part-to-part ratio Also consider: • Which model represents the ratio?

Lesson 3: Ratios and Tape Diagrams		1. Write a ratio: word problems
Lesson 3: Ratios and Tape Diagrams
1. Write a ratio: word problems

Lesson 4: Exploring Ratios by Making Batches		1. Use tape diagrams to solve ratio word problems I
Lesson 4: Exploring Ratios by Making Batches
1. Use tape diagrams to solve ratio word problems I

Lesson 5: Equivalent Ratios		1. Use tape diagrams to solve ratio word problems II 2. Identify equivalent ratios 3. Equivalent ratios: word problems 4. Write an equivalent ratio
Lesson 5: Equivalent Ratios
1. Use tape diagrams to solve ratio word problems II 2. Identify equivalent ratios 3. Equivalent ratios: word problems 4. Write an equivalent ratio
Topic B - Collections of Equivalent Ratios
Lesson 6: Ratio Tables and Double Number Lines		1. Ratio tables
Lesson 6: Ratio Tables and Double Number Lines
1. Ratio tables

Lesson 7: Graphs of Ratio Relationships		1. Graph a ratio relationship from a table
Lesson 7: Graphs of Ratio Relationships
1. Graph a ratio relationship from a table

Lesson 8: Addition Patterns in Ratio Relationships Lesson 9: Multiplication Patterns in Ratio Relationships		1. Ratios: complete a table and make a graph
Lesson 8: Addition Patterns in Ratio Relationships Lesson 9: Multiplication Patterns in Ratio Relationships
1. Ratios: complete a table and make a graph

Lesson 10: Multiplicative Reasoning in Ratio Relationships
Lesson 10: Multiplicative Reasoning in Ratio Relationships


Lesson 11: Applications of Ratio Reasoning
Lesson 11: Applications of Ratio Reasoning

Topic C - Comparing Ratio Relationships
Lesson 12: Multiple Ratio Relationships Lesson 13: Comparing Ratio Relationships, Part 1 Lesson 14: Comparing Ratio Relationships, Part 2		1. Compare ratios: word problems
Lesson 12: Multiple Ratio Relationships Lesson 13: Comparing Ratio Relationships, Part 1 Lesson 14: Comparing Ratio Relationships, Part 2
1. Compare ratios: word problems

Lesson 15: The Value of the Ratio
Lesson 15: The Value of the Ratio

Topic D - Rates
Lesson 16: Speed		1. Calculate speed, distance, or time: word problems
Lesson 16: Speed
1. Calculate speed, distance, or time: word problems

Lesson 17: Rates		1. Unit rates Also consider: • Rates: complete a table and make a graph
Lesson 17: Rates
1. Unit rates Also consider: • Rates: complete a table and make a graph

Lesson 18: Comparing Rates		1. Compare rates: word problems
Lesson 18: Comparing Rates
1. Compare rates: word problems

Lesson 19: Using Rates to Convert Units		1. Convert metric units 2. Convert customary units 3. Convert between customary and metric systems Also consider: • Convert metric and customary units using tables
Lesson 19: Using Rates to Convert Units
1. Convert metric units 2. Convert customary units 3. Convert between customary and metric systems Also consider: • Convert metric and customary units using tables

Lesson 20: Solving Rate Problems		1. Unit prices 2. Unit prices with customary unit conversions Also consider: • Rates: word problems
Lesson 20: Solving Rate Problems
1. Unit prices 2. Unit prices with customary unit conversions Also consider: • Rates: word problems

Lesson 21: Solving Multi-Step Rate Problems
Lesson 21: Solving Multi-Step Rate Problems

Topic E - Percents
Lesson 22: Introduction to Percents		1. What percentage is illustrated? 2. Convert fractions to percents using grid models 3. Convert between percents, fractions, and decimals Also consider: • Convert between percents, fractions, and decimals: word problems
Lesson 22: Introduction to Percents
1. What percentage is illustrated? 2. Convert fractions to percents using grid models 3. Convert between percents, fractions, and decimals Also consider: • Convert between percents, fractions, and decimals: word problems

Lesson 23: Finding the Percent		1. Benchmark percents with strip models: multiples of 10, 20, 25, 33, and 50 2. Find what percent one number is of another 3. Find what percent one number is of another: word problems
Lesson 23: Finding the Percent
1. Benchmark percents with strip models: multiples of 10, 20, 25, 33, and 50 2. Find what percent one number is of another 3. Find what percent one number is of another: word problems

Lesson 24: Finding a Part		1. Percents of numbers and money amounts 2. Percents of numbers: word problems
Lesson 24: Finding a Part
1. Percents of numbers and money amounts 2. Percents of numbers: word problems

Lesson 25: Finding the Whole		1. Find the total given a part and a percent Also consider: • Solve percent problems using strip models • Solve percent problems using grid models
Lesson 25: Finding the Whole
1. Find the total given a part and a percent Also consider: • Solve percent problems using strip models • Solve percent problems using grid models

Lesson 26: Solving Percent Problems		1. Solve percent equations 2. Solve percent word problems
Lesson 26: Solving Percent Problems
1. Solve percent equations 2. Solve percent word problems

2	Module 2 Operations with Fractions and Multi-Digit Numbers
Topic A - Factors, Multiples, and Divisibility
Lesson 1: Factors and Multiples		1. Identify factors 2. Choose the multiples of a given number
Lesson 1: Factors and Multiples
1. Identify factors 2. Choose the multiples of a given number

Lesson 2: Divisibility		1. Divisibility rules
Lesson 2: Divisibility
1. Divisibility rules

Lesson 3: The Greatest Common Factor		1. Find all the factor pairs of a number 2. Greatest common factor 3. Prime factorization Also consider: • Greatest common factor of three or four numbers
Lesson 3: The Greatest Common Factor
1. Find all the factor pairs of a number 2. Greatest common factor 3. Prime factorization Also consider: • Greatest common factor of three or four numbers

Lesson 4: The Least Common Multiple		1. Least common multiple 2. GCF and LCM: word problems Also consider: • Least common multiple of three or four numbers
Lesson 4: The Least Common Multiple
1. Least common multiple 2. GCF and LCM: word problems Also consider: • Least common multiple of three or four numbers

Lesson 5: The Euclidean Algorithm (Optional)
Lesson 5: The Euclidean Algorithm (Optional)

Topic B - Dividing Fractions
Lesson 6: Dividing a Whole Number by a Fraction		1. Divide whole numbers by fractions using models 2. Divide whole numbers by fractions
Lesson 6: Dividing a Whole Number by a Fraction
1. Divide whole numbers by fractions using models 2. Divide whole numbers by fractions

Lesson 7: Dividing a Fraction by a Whole Number		1. Divide fractions by whole numbers using models 2. Divide fractions by whole numbers 3. Divide fractions by whole numbers in recipes
Lesson 7: Dividing a Fraction by a Whole Number
1. Divide fractions by whole numbers using models 2. Divide fractions by whole numbers 3. Divide fractions by whole numbers in recipes

Lesson 8: Dividing Fractions by Making Common Denominators
Lesson 8: Dividing Fractions by Making Common Denominators

Topic C - Dividing Fractions Fluently
Lesson 9: Dividing Fractions by Using Tape Diagrams		1. Divide fractions using models 2. Divide fractions and mixed numbers using models: word problems
Lesson 9: Dividing Fractions by Using Tape Diagrams
1. Divide fractions using models 2. Divide fractions and mixed numbers using models: word problems

Lesson 10: Dividing Fractions by Using the Invert and Multiply Strategy		1. Reciprocals 2. Divide fractions 3. Divide fractions and mixed numbers
Lesson 10: Dividing Fractions by Using the Invert and Multiply Strategy
1. Reciprocals 2. Divide fractions 3. Divide fractions and mixed numbers

Lesson 11: Applications of Fraction Division		1. Divide fractions and mixed numbers: word problems
Lesson 11: Applications of Fraction Division
1. Divide fractions and mixed numbers: word problems

Lesson 12: Fraction Operations in a Real-World Situation		1. Add, subtract, multiply, or divide two fractions 2. Add, subtract, multiply, or divide two fractions: word problems
Lesson 12: Fraction Operations in a Real-World Situation
1. Add, subtract, multiply, or divide two fractions 2. Add, subtract, multiply, or divide two fractions: word problems
Topic D - Decimal Addition, Subtraction, and Multiplication
Lesson 13: Decimal Addition and Subtraction		1. Add and subtract decimals 2. Estimate sums and differences of decimals 3. Complete the decimal addition or subtraction sentence
Lesson 13: Decimal Addition and Subtraction
1. Add and subtract decimals 2. Estimate sums and differences of decimals 3. Complete the decimal addition or subtraction sentence

Lesson 14: Patterns in Multiplying Decimals		1. Multiply decimals using grids
Lesson 14: Patterns in Multiplying Decimals
1. Multiply decimals using grids

Lesson 15: Decimal Multiplication		1. Estimate products of decimals 2. Multiply two decimals: where does the decimal point go? 3. Multiply with decimals
Lesson 15: Decimal Multiplication
1. Estimate products of decimals 2. Multiply two decimals: where does the decimal point go? 3. Multiply with decimals

Lesson 16: Applications of Decimal Operations		1. Add, subtract, and multiply decimals: word problems Also consider: • Maps with decimal distances
Lesson 16: Applications of Decimal Operations
1. Add, subtract, and multiply decimals: word problems Also consider: • Maps with decimal distances
Topic E - Division of Multi-Digit Numbers
Lesson 17: Partial Quotients		1. Divide using partial quotients 2. Estimate quotients
Lesson 17: Partial Quotients
1. Divide using partial quotients 2. Estimate quotients

Lesson 18: The Standard Division Algorithm		1. Divide by 2-digit numbers
Lesson 18: The Standard Division Algorithm
1. Divide by 2-digit numbers

Lesson 19: Expressing Quotients as Decimals		1. Division with decimal quotients
Lesson 19: Expressing Quotients as Decimals
1. Division with decimal quotients

Lesson 20: Real-World Division Problems		1. Divide whole numbers: word problems
Lesson 20: Real-World Division Problems
1. Divide whole numbers: word problems
Topic F - Decimal Division
Lesson 21: Dividing a Decimal by a Whole Number		1. Estimate decimal quotients 2. Decimal division patterns over increasing place values 3. Divide decimals by whole numbers 4. Divide decimals by whole numbers: word problems
Lesson 21: Dividing a Decimal by a Whole Number
1. Estimate decimal quotients 2. Decimal division patterns over increasing place values 3. Divide decimals by whole numbers 4. Divide decimals by whole numbers: word problems

Lesson 22: Dividing a Decimal by a Decimal Greater Than 1		1. Divide a decimal by a decimal greater than 1
Lesson 22: Dividing a Decimal by a Decimal Greater Than 1
1. Divide a decimal by a decimal greater than 1

Lesson 23: Dividing a Decimal by a Decimal Less Than 1		1. Divide a decimal by a decimal less than 1
Lesson 23: Dividing a Decimal by a Decimal Less Than 1
1. Divide a decimal by a decimal less than 1

Lesson 24: Living on Mars		1. Add, subtract, multiply, or divide two decimals: word problems
Lesson 24: Living on Mars
1. Add, subtract, multiply, or divide two decimals: word problems

3	Module 3 Rational Numbers
Topic A - Integers and Rational Numbers
Lesson 1: Positive and Negative Numbers		1. Understanding integers 2. Integers on number lines 3. Graph integers on horizontal and vertical number lines
Lesson 1: Positive and Negative Numbers
1. Understanding integers 2. Integers on number lines 3. Graph integers on horizontal and vertical number lines

Lesson 2: Integers		1. Understanding opposite integers
Lesson 2: Integers
1. Understanding opposite integers

Lesson 3: Rational Numbers		1. Rational numbers on number lines 2. Opposites of rational numbers Also consider: • Rational numbers: find the sign
Lesson 3: Rational Numbers
1. Rational numbers on number lines 2. Opposites of rational numbers Also consider: • Rational numbers: find the sign

Lesson 4: Rational Numbers in Real-World Situations
Lesson 4: Rational Numbers in Real-World Situations

Topic B - Ordering and Magnitude
Lesson 5: Comparing Rational Numbers		1. Compare rational numbers
Lesson 5: Comparing Rational Numbers
1. Compare rational numbers

Lesson 6: Ordering Rational Numbers		1. Put rational numbers in order 2. Compare and order rational numbers: word problems
Lesson 6: Ordering Rational Numbers
1. Put rational numbers in order 2. Compare and order rational numbers: word problems

Lesson 7: Absolute Value		1. Understanding absolute value 2. Absolute value
Lesson 7: Absolute Value
1. Understanding absolute value 2. Absolute value

Lesson 8: Absolute Value and Order		1. Inequalities with absolute values Also consider: • Absolute value and integers: word problems
Lesson 8: Absolute Value and Order
1. Inequalities with absolute values Also consider: • Absolute value and integers: word problems

Lesson 9: Interpreting Order and Distance in Real-World Situations		1. Compare temperatures above and below zero
Lesson 9: Interpreting Order and Distance in Real-World Situations
1. Compare temperatures above and below zero
Topic C - The Coordinate Plane
Lesson 10: The Four Quadrants of the Coordinate Plane		1. Objects on a coordinate plane 2. Quadrants
Lesson 10: The Four Quadrants of the Coordinate Plane
1. Objects on a coordinate plane 2. Quadrants

Lesson 11: Plotting Points in the Coordinate Plane		1. Graph points on a coordinate plane
Lesson 11: Plotting Points in the Coordinate Plane
1. Graph points on a coordinate plane

Lesson 12: Reflections in the Coordinate Plane		1. Reflect a point over an axis
Lesson 12: Reflections in the Coordinate Plane
1. Reflect a point over an axis

Lesson 13: Constructing the Coordinate Plane
Lesson 13: Constructing the Coordinate Plane


Lesson 14: Modeling with the Coordinate Plane		1. Interpret line graphs 2. Create line graphs
Lesson 14: Modeling with the Coordinate Plane
1. Interpret line graphs 2. Create line graphs
Topic D - Solving Problems in the Coordinate Plane
Lesson 15: Distance in the Coordinate Plane		1. Distance between two points
Lesson 15: Distance in the Coordinate Plane
1. Distance between two points

Lesson 16: Figures in the Coordinate Plane		1. Graph squares and rectangles on the coordinate plane
Lesson 16: Figures in the Coordinate Plane
1. Graph squares and rectangles on the coordinate plane

Lesson 17: Problem Solving with the Coordinate Plane		1. Coordinate planes as maps 2. Follow directions on a coordinate plane
Lesson 17: Problem Solving with the Coordinate Plane
1. Coordinate planes as maps 2. Follow directions on a coordinate plane

4	Module 4 Expressions and One-Step Equations
Topic A - Numerical Expressions
Lesson 1: Expressions with Addition and Subtraction Lesson 2: Expressions with Multiplication and Division		1. Evaluate numerical expressions
Lesson 1: Expressions with Addition and Subtraction Lesson 2: Expressions with Multiplication and Division
1. Evaluate numerical expressions

Lesson 3: Exploring Exponents		1. Write multiplication expressions using exponents
Lesson 3: Exploring Exponents
1. Write multiplication expressions using exponents

Lesson 4: Evaluating Expressions with Exponents		1. Evaluate powers
Lesson 4: Evaluating Expressions with Exponents
1. Evaluate powers

Lesson 5: Exploring Order of Operations		1. Evaluate numerical expressions 2. Evaluate numerical expressions involving decimals 3. Evaluate numerical expressions involving fractions
Lesson 5: Exploring Order of Operations
1. Evaluate numerical expressions 2. Evaluate numerical expressions involving decimals 3. Evaluate numerical expressions involving fractions

Lesson 6: Order of Operations		1. Evaluate numerical expressions one step at a time 2. Evaluate numerical expressions with exponents 3. Identify mistakes involving the order of operations
Lesson 6: Order of Operations
1. Evaluate numerical expressions one step at a time 2. Evaluate numerical expressions with exponents 3. Identify mistakes involving the order of operations
Topic B - Expressions and Real-World Problems
Lesson 7: Algebraic Expressions with Addition and Subtraction		1. Write addition and subtraction expressions
Lesson 7: Algebraic Expressions with Addition and Subtraction
1. Write addition and subtraction expressions

Lesson 8: Algebraic Expressions with Addition, Subtraction, Multiplication, and Division		1. Write multiplication and division expressions 2. Write variable expressions: two operations 3. Evaluate multi-variable expressions
Lesson 8: Algebraic Expressions with Addition, Subtraction, Multiplication, and Division
1. Write multiplication and division expressions 2. Write variable expressions: two operations 3. Evaluate multi-variable expressions

Lesson 9: Addition and Subtraction Expressions from Real-World Situations Lesson 10: Multiplication and Division Expressions from Real-World Situations		1. Write variable expressions: word problems
Lesson 9: Addition and Subtraction Expressions from Real-World Situations Lesson 10: Multiplication and Division Expressions from Real-World Situations
1. Write variable expressions: word problems

Lesson 11: Modeling Real-World Situations with Expressions
Lesson 11: Modeling Real-World Situations with Expressions

Topic C - Equivalent Expressions Using the Properties of Operations
Lesson 12: Applying Properties to Multiplication and Division Expressions		1. Evaluate variable expressions involving multiplication 2. Evaluate variable expressions involving division 3. Evaluate variable expressions: word problems
Lesson 12: Applying Properties to Multiplication and Division Expressions
1. Evaluate variable expressions involving multiplication 2. Evaluate variable expressions involving division 3. Evaluate variable expressions: word problems

Lesson 13: The Distributive Property		1. Multiply using the distributive property: area models 2. Multiply using the distributive property
Lesson 13: The Distributive Property
1. Multiply using the distributive property: area models 2. Multiply using the distributive property

Lesson 14: Using the Distributive Property to Factor Expressions		1. Factor numerical expressions using the distributive property 2. Factor variable expressions: area models 3. Factor variable expressions using the distributive property Also consider: • Distributive property: find the missing number
Lesson 14: Using the Distributive Property to Factor Expressions
1. Factor numerical expressions using the distributive property 2. Factor variable expressions: area models 3. Factor variable expressions using the distributive property Also consider: • Distributive property: find the missing number

Lesson 15: Combining Like Terms by Using the Distributive Property		1. Add and subtract like terms Also consider: • Combine like terms using algebra tiles
Lesson 15: Combining Like Terms by Using the Distributive Property
1. Add and subtract like terms Also consider: • Combine like terms using algebra tiles

Lesson 16: Equivalent Algebraic Expressions		1. Identify equivalent expressions using the distributive property 2. Identify equivalent expressions: word problems
Lesson 16: Equivalent Algebraic Expressions
1. Identify equivalent expressions using the distributive property 2. Identify equivalent expressions: word problems
Topic D - Equations and Inequalities
Lesson 17: Equations and Solutions		1. Write an equation from words 2. Does x satisfy an equation? 3. Which x satisfies an equation? Also consider: • Identify expressions and equations
Lesson 17: Equations and Solutions
1. Write an equation from words 2. Does x satisfy an equation? 3. Which x satisfies an equation? Also consider: • Identify expressions and equations

Lesson 18: Inequalities and Solutions Lesson 19: Two More Inequality Symbols		1. Graph inequalities on number lines 2. Solutions to inequalities 3. Write and graph inequalities: word problems
Lesson 18: Inequalities and Solutions Lesson 19: Two More Inequality Symbols
1. Graph inequalities on number lines 2. Solutions to inequalities 3. Write and graph inequalities: word problems

Lesson 20: Solving Equations with Addition and Subtraction		1. Model and solve addition and subtraction equations using diagrams 2. Solve one-step addition and subtraction equations Also consider: • Write and solve addition and subtraction equations using diagrams: word problems • Solve one-step addition and subtraction equations: word problems
Lesson 20: Solving Equations with Addition and Subtraction
1. Model and solve addition and subtraction equations using diagrams 2. Solve one-step addition and subtraction equations Also consider: • Write and solve addition and subtraction equations using diagrams: word problems • Solve one-step addition and subtraction equations: word problems

Lesson 21: Solving Equations with Multiplication and Division		1. Model and solve multiplication and division equations using diagrams 2. Solve one-step multiplication and division equations Also consider: • Write and solve multiplication and division equations using diagrams: word problems • Solve one-step multiplication and division equations: word problems
Lesson 21: Solving Equations with Multiplication and Division
1. Model and solve multiplication and division equations using diagrams 2. Solve one-step multiplication and division equations Also consider: • Write and solve multiplication and division equations using diagrams: word problems • Solve one-step multiplication and division equations: word problems

Lesson 22: Solving Problems with Equations		1. Write a one-step equation: word problems 2. Solve one-step equations: word problems Also consider: • Which word problem matches the one-step equation?
Lesson 22: Solving Problems with Equations
1. Write a one-step equation: word problems 2. Solve one-step equations: word problems Also consider: • Which word problem matches the one-step equation?
Topic E - Relating Variables by Using Tables, Graphs, and Equations
Lesson 23: Relationship Between Two Variables		1. Identify independent and dependent variables: word problems 2. Complete a table for a multiplicative relationship 3. Write a two-variable multiplicative equation from a table
Lesson 23: Relationship Between Two Variables
1. Identify independent and dependent variables: word problems 2. Complete a table for a multiplicative relationship 3. Write a two-variable multiplicative equation from a table

Lesson 24: Graphs of Ratio Relationships		1. Write a multiplicative equation from a graph using a table 2. Graph a two-variable multiplicative equation
Lesson 24: Graphs of Ratio Relationships
1. Write a multiplicative equation from a graph using a table 2. Graph a two-variable multiplicative equation

Lesson 25: Graphs of Non-Ratio Relationships		1. Graph a two-variable additive equation 2. Write equations for additive relationships
Lesson 25: Graphs of Non-Ratio Relationships
1. Graph a two-variable additive equation 2. Write equations for additive relationships

Lesson 26: The Statue of Liberty		1. Find a value using two-variable equations: word problems 2. Relationships between two variables: word problems
Lesson 26: The Statue of Liberty
1. Find a value using two-variable equations: word problems 2. Relationships between two variables: word problems

5	Module 5 Area, Surface Area, and Volume
Topic A - Areas of Polygons
Lesson 1: The Area of a Parallelogram		1. Understanding area of a parallelogram 2. Area of parallelograms
Lesson 1: The Area of a Parallelogram
1. Understanding area of a parallelogram 2. Area of parallelograms

Lesson 2: The Area of a Right Triangle		1. Understanding area of a right triangle 2. Area of right triangles
Lesson 2: The Area of a Right Triangle
1. Understanding area of a right triangle 2. Area of right triangles

Lesson 3: The Area of a Triangle		1. Understanding area of acute and obtuse triangles 2. Area of triangles
Lesson 3: The Area of a Triangle
1. Understanding area of acute and obtuse triangles 2. Area of triangles

Lesson 4: Areas of Triangles in Real-World Situations		1. Area of quadrilaterals and triangles: word problems
Lesson 4: Areas of Triangles in Real-World Situations
1. Area of quadrilaterals and triangles: word problems
Topic B - Problem Solving with Area
Lesson 5: Perimeter and Area in the Coordinate Plane		1. Area and perimeter of squares and rectangles on the coordinate plane
Lesson 5: Perimeter and Area in the Coordinate Plane
1. Area and perimeter of squares and rectangles on the coordinate plane

Lesson 6: Problem Solving with Area in the Coordinate Plane		1. Area of triangles on the coordinate plane
Lesson 6: Problem Solving with Area in the Coordinate Plane
1. Area of triangles on the coordinate plane

Lesson 7: Areas of Trapezoids and Other Polygons		1. Understanding area of a trapezoid 2. Area of trapezoids 3. Area of compound figures 4. Area of compound figures with triangles
Lesson 7: Areas of Trapezoids and Other Polygons
1. Understanding area of a trapezoid 2. Area of trapezoids 3. Area of compound figures 4. Area of compound figures with triangles

Lesson 8: Areas of Composite Figures in Real-World Situations		1. Area between two rectangles 2. Area between two triangles
Lesson 8: Areas of Composite Figures in Real-World Situations
1. Area between two rectangles 2. Area between two triangles
Topic C - Nets and Surface Area
Lesson 9: Properties of Solids		1. Which figure is being described? 2. Count vertices, edges, and faces 3. Identify parallel edges and faces of solids
Lesson 9: Properties of Solids
1. Which figure is being described? 2. Count vertices, edges, and faces 3. Identify parallel edges and faces of solids

Lesson 10: Discovering Nets of Solids		1. Nets of three-dimensional figures
Lesson 10: Discovering Nets of Solids
1. Nets of three-dimensional figures

Lesson 11: Constructing Nets of Solids
Lesson 11: Constructing Nets of Solids


Lesson 12: From Nets to Surface Area		1. Surface area of prisms and pyramids
Lesson 12: From Nets to Surface Area
1. Surface area of prisms and pyramids

Lesson 13: Surface Area in Real-World Situations
Lesson 13: Surface Area in Real-World Situations


Lesson 14: Designing a Box
Lesson 14: Designing a Box

Topic D - Volumes of Right Rectangular Prisms
Lesson 15: Exploring Volume
Lesson 15: Exploring Volume


Lesson 16: Applying Volume Formulas		1. Volume of cubes and rectangular prisms with fractional side lengths 2. Volume of rectangular prisms with decimal side length 3. Volume of cubes and rectangular prisms: word problems
Lesson 16: Applying Volume Formulas
1. Volume of cubes and rectangular prisms with fractional side lengths 2. Volume of rectangular prisms with decimal side length 3. Volume of cubes and rectangular prisms: word problems

Lesson 17: Problem Solving with Volume		1. Volume: changes in scale
Lesson 17: Problem Solving with Volume
1. Volume: changes in scale

Lesson 18: Volumes of Composite Solids		1. Volume of compound figures
Lesson 18: Volumes of Composite Solids
1. Volume of compound figures

Lesson 19: Volume and Surface Area in Real-World Situations
Lesson 19: Volume and Surface Area in Real-World Situations

6	Module 6 Statistics, Probability, and Populations
Topic A - Understanding Distributions
Lesson 1: Posing Statistical Questions		1. Identify statistical questions
Lesson 1: Posing Statistical Questions
1. Identify statistical questions

Lesson 2: Describing a Data Distribution		1. Interpret line plots Also consider: • Calculate range
Lesson 2: Describing a Data Distribution
1. Interpret line plots Also consider: • Calculate range

Lesson 3: Creating a Dot Plot		1. Create line plots 2. Create frequency tables 3. Describe shapes of distributions in line plots
Lesson 3: Creating a Dot Plot
1. Create line plots 2. Create frequency tables 3. Describe shapes of distributions in line plots

Lesson 4: Creating a Histogram		1. Interpret histograms 2. Create histograms
Lesson 4: Creating a Histogram
1. Interpret histograms 2. Create histograms

Lesson 5: Comparing Data Displays		1. Create relative frequency tables
Lesson 5: Comparing Data Displays
1. Create relative frequency tables

Lesson 6: Selecting a Data Display
Lesson 6: Selecting a Data Display

Topic B - Describing Center and Variability
Lesson 7: Using the Mean to Describe the Center		1. Calculate mean Also consider: • Mean: find the missing number
Lesson 7: Using the Mean to Describe the Center
1. Calculate mean Also consider: • Mean: find the missing number

Lesson 8: The Mean as a Balance Point
Lesson 8: The Mean as a Balance Point


Lesson 9: Variability of a Data Distribution
Lesson 9: Variability of a Data Distribution


Lesson 10: The Mean Absolute Deviation (Optional)		1. Calculate mean absolute deviation 2. Interpret mean and mean absolute deviation
Lesson 10: The Mean Absolute Deviation (Optional)
1. Calculate mean absolute deviation 2. Interpret mean and mean absolute deviation

Lesson 11: Using the Mean and Mean Absolute Deviation (Optional)
Lesson 11: Using the Mean and Mean Absolute Deviation (Optional)


Lesson 12: Using the Median to Describe the Center		1. Calculate median
Lesson 12: Using the Median to Describe the Center
1. Calculate median
Topic C - Calculating, Interpreting, and Estimating Probabilities
Lesson 13: What Is Probability?		1. Understanding probability
Lesson 13: What Is Probability?
1. Understanding probability

Lesson 14: Empirical Probability		1. Experimental probability
Lesson 14: Empirical Probability
1. Experimental probability

Lesson 15: Outcomes of Chance Experiments		1. Sample spaces of simple events 2. Make predictions Also consider: • Create relative frequency tables
Lesson 15: Outcomes of Chance Experiments
1. Sample spaces of simple events 2. Make predictions Also consider: • Create relative frequency tables

Lesson 16: Theoretical Probability Lesson 17: Outcomes That Are Not Equally Likely		1. Probability of simple events 2. Probability of simple, opposite, and mutually exclusive events
Lesson 16: Theoretical Probability Lesson 17: Outcomes That Are Not Equally Likely
1. Probability of simple events 2. Probability of simple, opposite, and mutually exclusive events

Lesson 18: The Law of Large Numbers Lesson 19: Picking Blue		1. Use collected data to find probabilities and make predictions
Lesson 18: The Law of Large Numbers Lesson 19: Picking Blue
1. Use collected data to find probabilities and make predictions
Topic D - Random Sampling
Lesson 20: Populations and Samples		1. Identify statistical questions 2. Populations and samples Also consider: • Calculate mean, median, mode, and range
Lesson 20: Populations and Samples
1. Identify statistical questions 2. Populations and samples Also consider: • Calculate mean, median, mode, and range

Lesson 21: Selecting a Sample		1. Identify representative and random samples Also consider: • Interpret line plots • Describe distributions in line plots
Lesson 21: Selecting a Sample
1. Identify representative and random samples Also consider: • Interpret line plots • Describe distributions in line plots

Lesson 22: Variability Between Samples		1. Find the mean, median, mode, or range from a line plot Also consider: • Create line plots
Lesson 22: Variability Between Samples
1. Find the mean, median, mode, or range from a line plot Also consider: • Create line plots

Lesson 23: Sampling Variability When Estimating a Population Mean
Lesson 23: Sampling Variability When Estimating a Population Mean


Lesson 24: Sampling Variability When Estimating a Population Proportion
Lesson 24: Sampling Variability When Estimating a Population Proportion

Topic E - Answering Statistical Questions by Analyzing Data
Lesson 25: Developing a Statistical Project
Lesson 25: Developing a Statistical Project


Lesson 26: Analyzing Graphical Representations		1. Create histograms 2. Interpret histograms
Lesson 26: Analyzing Graphical Representations
1. Create histograms 2. Interpret histograms

Lesson 27: Choosing a Measure of Center		1. Interpret measures of center and variability 2. Choose appropriate measures of center and variation
Lesson 27: Choosing a Measure of Center
1. Interpret measures of center and variability 2. Choose appropriate measures of center and variation

Lesson 28: Presenting Statistical Projects
Lesson 28: Presenting Statistical Projects

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