IXL skill plan | 6th grade plan for EngageNY Math

Skill plan for EngageNY Math - 6th grade

IXL provides skill alignments with recommended IXL skills for each module. Find the IXL skills that are right for you below!

Module

Print skill plan

1	Module 1 Ratios and Unit Rates
Topic A - Representing and Reasoning About Ratios
Lessons 1-2: Ratios		1. Write a ratio using a colon 2. Write a ratio: word problems 3. Which model represents the ratio?
Lessons 1-2: Ratios
1. Write a ratio using a colon 2. Write a ratio: word problems 3. Which model represents the ratio?

Lessons 3-4: Equivalent Ratios		1. Identify equivalent ratios 2. Write an equivalent ratio
Lessons 3-4: Equivalent Ratios
1. Identify equivalent ratios 2. Write an equivalent ratio

Lessons 5-6: Solving Problems by Finding Equivalent Ratios		1. Equivalent ratios: word problems 2. Use tape diagrams to solve ratio word problems Also consider: • Scale drawings: word problems
Lessons 5-6: Solving Problems by Finding Equivalent Ratios
1. Equivalent ratios: word problems 2. Use tape diagrams to solve ratio word problems Also consider: • Scale drawings: word problems

Lesson 7: Associated Ratios and the Value of a Ratio		1. Write a ratio using a fraction Also consider: • Equivalent fractions review
Lesson 7: Associated Ratios and the Value of a Ratio
1. Write a ratio using a fraction Also consider: • Equivalent fractions review

Lesson 8: Equivalent Ratios Defined Through the Value of a Ratio		1. Identify equivalent ratios with fractions
Lesson 8: Equivalent Ratios Defined Through the Value of a Ratio
1. Identify equivalent ratios with fractions
Topic B - Collections of Equivalent Ratios
Lesson 9: Tables of Equivalent Ratios		1. Ratio tables 2. Find an equivalent ratio: word problems
Lesson 9: Tables of Equivalent Ratios
1. Ratio tables 2. Find an equivalent ratio: word problems

Lesson 10: The Structure of Ratio Tables—Additive and Multiplicative		1. Ratio tables I 2. Ratio tables II 3. Complete a multiplication input/output table
Lesson 10: The Structure of Ratio Tables—Additive and Multiplicative
1. Ratio tables I 2. Ratio tables II 3. Complete a multiplication input/output table

Lesson 11: Comparing Ratios Using Ratio Tables		1. Compare ratios: word problems
Lesson 11: Comparing Ratios Using Ratio Tables
1. Compare ratios: word problems

Lesson 12: From Ratio Tables to Double Number Line Diagrams
Lesson 12: From Ratio Tables to Double Number Line Diagrams


Lesson 13: From Ratio Tables to Equations Using the Value of a Ratio		1. Write a two-variable multiplicative equation from a table Also consider: • Complete a table for a two-variable relationship
Lesson 13: From Ratio Tables to Equations Using the Value of a Ratio
1. Write a two-variable multiplicative equation from a table Also consider: • Complete a table for a two-variable relationship

Lesson 14: From Ratio Tables, Equations, and Double Number Line Diagrams to Plots on the Coordinate Plane		1. Ratios and rates: complete a table and make a graph Also consider: • Graph a ratio relationship from a table
Lesson 14: From Ratio Tables, Equations, and Double Number Line Diagrams to Plots on the Coordinate Plane
1. Ratios and rates: complete a table and make a graph Also consider: • Graph a ratio relationship from a table

Lesson 15: A Synthesis of Representations of Equivalent Ratio Collections		1. Write a multiplicative equation from a graph using a table
Lesson 15: A Synthesis of Representations of Equivalent Ratio Collections
1. Write a multiplicative equation from a graph using a table
Topic C - Unit Rates
Lesson 16-17: From Ratios to Rates—From Rates to Ratios		1. Unit rates Also consider: • Write fractions in lowest terms
Lesson 16-17: From Ratios to Rates—From Rates to Ratios
1. Unit rates Also consider: • Write fractions in lowest terms

Lesson 18: Finding a Rate by Dividing Two Quantities		1. Rates: word problems Also consider: • Convert customary and metric units using proportions
Lesson 18: Finding a Rate by Dividing Two Quantities
1. Rates: word problems Also consider: • Convert customary and metric units using proportions

Lessons 19-20: Comparison Shopping—Unit Price and Related Measurement Conversions		1. Unit prices Also consider: • Unit prices with fractions and decimals
Lessons 19-20: Comparison Shopping—Unit Price and Related Measurement Conversions
1. Unit prices Also consider: • Unit prices with fractions and decimals

Lessons 21-22: Getting the Job Done—Speed, Work, and Measurement Units		1. Convert metric and customary rates using conversion factors 2. Convert and compare customary units 3. Convert and compare metric units 4. Calculate speed, distance, or time: word problems Also consider: • Customary unit conversions involving fractions and mixed numbers • Unit prices with customary unit conversions
Lessons 21-22: Getting the Job Done—Speed, Work, and Measurement Units
1. Convert metric and customary rates using conversion factors 2. Convert and compare customary units 3. Convert and compare metric units 4. Calculate speed, distance, or time: word problems Also consider: • Customary unit conversions involving fractions and mixed numbers • Unit prices with customary unit conversions

Lesson 23: Problem-Solving Using Rates, Unit Rates, and Conversions		1. Compare rates: word problems 2. Ratios and rates: word problems
Lesson 23: Problem-Solving Using Rates, Unit Rates, and Conversions
1. Compare rates: word problems 2. Ratios and rates: word problems
Topic D - Percent
Lesson 24: Percent and Rates per 100		1. What percentage is illustrated? 2. Benchmark percents with strip models: multiples of 10, 20, 25, 33, and 50
Lesson 24: Percent and Rates per 100
1. What percentage is illustrated? 2. Benchmark percents with strip models: multiples of 10, 20, 25, 33, and 50

Lesson 25: A Fraction as a Percent		1. Convert fractions to percents using grid models 2. Convert between percents, fractions, and decimals Also consider: • Convert between percents, fractions, and decimals: word problems
Lesson 25: A Fraction as a Percent
1. Convert fractions to percents using grid models 2. Convert between percents, fractions, and decimals Also consider: • Convert between percents, fractions, and decimals: word problems

Lesson 26: Percent of a Quantity		1. Percents of numbers and money amounts 2. Find what percent one number is of another 3. Find the total given a part and a percent Also consider: • Solve percent problems using grid models • Solve percent problems using strip models
Lesson 26: Percent of a Quantity
1. Percents of numbers and money amounts 2. Find what percent one number is of another 3. Find the total given a part and a percent Also consider: • Solve percent problems using grid models • Solve percent problems using strip models

Lessons 27-29: Solving Percent Problems		1. Solve percent problems 2. Solve percent word problems 3. Sale prices 4. Sale prices: find the original price Also consider: • Which is the better coupon?
Lessons 27-29: Solving Percent Problems
1. Solve percent problems 2. Solve percent word problems 3. Sale prices 4. Sale prices: find the original price Also consider: • Which is the better coupon?

2	Module 2 Arithmetic Operations Including Division of Fractions
Topic A - Dividing Fractions by Fractions
Lesson 1: Interpreting Division of a Fraction by a Whole Number—Visual Models		1. Divide fractions by whole numbers using models Also consider: • Divide fractions by whole numbers in recipes
Lesson 1: Interpreting Division of a Fraction by a Whole Number—Visual Models
1. Divide fractions by whole numbers using models Also consider: • Divide fractions by whole numbers in recipes

Lesson 2: Interpreting Division of a Whole Number by a Fraction—Visual Models		1. Divide whole numbers by unit fractions using models 2. Divide whole numbers by fractions using models Also consider: • Divide whole numbers and unit fractions • Divide whole numbers and fractions using models
Lesson 2: Interpreting Division of a Whole Number by a Fraction—Visual Models
1. Divide whole numbers by unit fractions using models 2. Divide whole numbers by fractions using models Also consider: • Divide whole numbers and unit fractions • Divide whole numbers and fractions using models

Lessons 3-4: Interpreting and Computing Division of a Fraction by a Fraction—More Models		1. Divide fractions using models 2. Divide fractions Also consider: • Divide fractions and mixed numbers using models
Lessons 3-4: Interpreting and Computing Division of a Fraction by a Fraction—More Models
1. Divide fractions using models 2. Divide fractions Also consider: • Divide fractions and mixed numbers using models

Lesson 5: Creating Division Stories		1. Divide fractions: word problems Also consider: • Divide fractions and mixed numbers using models: word problems
Lesson 5: Creating Division Stories
1. Divide fractions: word problems Also consider: • Divide fractions and mixed numbers using models: word problems

Lesson 6: More Division Stories
Lesson 6: More Division Stories


Lesson 7: The Relationship Between Visual Fraction Models and Equations		1. Reciprocals Also consider: • Multiply two fractions
Lesson 7: The Relationship Between Visual Fraction Models and Equations
1. Reciprocals Also consider: • Multiply two fractions

Lesson 8: Dividing Fractions and Mixed Numbers		1. Divide fractions and mixed numbers 2. Divide fractions and mixed numbers: word problems
Lesson 8: Dividing Fractions and Mixed Numbers
1. Divide fractions and mixed numbers 2. Divide fractions and mixed numbers: word problems
Topic B - Multi-Digit Decimal Operations—Adding, Subtracting, and Multiplying
Lesson 9: Sums and Differences of Decimals		1. Estimate sums and differences of mixed numbers 2. Convert between decimals and mixed numbers 3. Add and subtract decimal numbers 4. Add and subtract decimals: word problems Also consider: • Add and subtract mixed numbers • Complete the decimal addition or subtraction sentence
Lesson 9: Sums and Differences of Decimals
1. Estimate sums and differences of mixed numbers 2. Convert between decimals and mixed numbers 3. Add and subtract decimal numbers 4. Add and subtract decimals: word problems Also consider: • Add and subtract mixed numbers • Complete the decimal addition or subtraction sentence

Lesson 10: The Distributive Property and the Products of Decimals		1. Multiply a decimal by a power of ten 2. Multiply a decimal by a one-digit whole number using the distributive property
Lesson 10: The Distributive Property and the Products of Decimals
1. Multiply a decimal by a power of ten 2. Multiply a decimal by a one-digit whole number using the distributive property

Lesson 11: Fraction Multiplication and the Products of Decimals		1. Estimate products of decimal numbers 2. Multiply decimals 3. Divide decimals by whole numbers: word problems Also consider: • Multiply two decimals: where does the decimal point go?
Lesson 11: Fraction Multiplication and the Products of Decimals
1. Estimate products of decimal numbers 2. Multiply decimals 3. Divide decimals by whole numbers: word problems Also consider: • Multiply two decimals: where does the decimal point go?
Topic C - Dividing Whole Numbers and Decimals
Lesson 12: Estimating Digits in a Quotient		1. Division patterns with zeros 2. Estimate quotients Also consider: • Divide numbers ending in zeros: word problems
Lesson 12: Estimating Digits in a Quotient
1. Division patterns with zeros 2. Estimate quotients Also consider: • Divide numbers ending in zeros: word problems

Lesson 13: Dividing Multi-Digit Numbers Using the Algorithm		1. Divide whole numbers - 2-digit divisors 2. Divide whole numbers - 3-digit divisors
Lesson 13: Dividing Multi-Digit Numbers Using the Algorithm
1. Divide whole numbers - 2-digit divisors 2. Divide whole numbers - 3-digit divisors

Lesson 14: The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions		1. Estimate decimal quotients Also consider: • Divide decimals by whole numbers
Lesson 14: The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions
1. Estimate decimal quotients Also consider: • Divide decimals by whole numbers

Lesson 15: The Division Algorithm—Converting Decimal Division into Whole Number Division Using Mental Math		1. Division with decimal divisors 2. Divide decimals
Lesson 15: The Division Algorithm—Converting Decimal Division into Whole Number Division Using Mental Math
1. Division with decimal divisors 2. Divide decimals
Topic D - Number Theory—Thinking Logically About Multiplicative Arithmetic
Lesson 16: Even and Odd Numbers		1. Even or odd: arithmetic rules
Lesson 16: Even and Odd Numbers
1. Even or odd: arithmetic rules

Lesson 17: Divisibility Tests for 3 and 9		1. Divisibility rules
Lesson 17: Divisibility Tests for 3 and 9
1. Divisibility rules

Lesson 18: Least Common Multiple and Greatest Common Factor		1. Greatest common factor 2. Least common multiple 3. GCF and LCM: word problems 4. Prime factorization with exponents Also consider: • Identify factors • Find all the factor pairs of a number • Prime or composite
Lesson 18: Least Common Multiple and Greatest Common Factor
1. Greatest common factor 2. Least common multiple 3. GCF and LCM: word problems 4. Prime factorization with exponents Also consider: • Identify factors • Find all the factor pairs of a number • Prime or composite

Lesson 19: The Euclidean Algorithm as an Application of the Long Division Algorithm
Lesson 19: The Euclidean Algorithm as an Application of the Long Division Algorithm

3	Module 3 Rational Numbers
Topic A - Understanding Positive and Negative Numbers on the Number Line
Lesson 1: Positive and Negative Numbers on the Number Line—Opposite Direction and Value		1. Integers on number lines 2. Graph integers on horizontal and vertical number lines
Lesson 1: Positive and Negative Numbers on the Number Line—Opposite Direction and Value
1. Integers on number lines 2. Graph integers on horizontal and vertical number lines

Lessons 2-3: Real-World Positive and Negative Numbers and Zero		1. Understanding integers
Lessons 2-3: Real-World Positive and Negative Numbers and Zero
1. Understanding integers

Lesson 4: The Opposite of a Number		1. Understanding opposite integers
Lesson 4: The Opposite of a Number
1. Understanding opposite integers

Lesson 5: The Opposite of a Number's Opposite
Lesson 5: The Opposite of a Number's Opposite


Lesson 6: Rational Numbers on the Number Line		1. Opposites of rational numbers 2. Rational numbers on number lines Also consider: • Classify rational numbers using a diagram • Classify numbers
Lesson 6: Rational Numbers on the Number Line
1. Opposites of rational numbers 2. Rational numbers on number lines Also consider: • Classify rational numbers using a diagram • Classify numbers
Topic B - Order and Absolute Value
Lessons 7-8: Ordering Integers and Other Rational Numbers		1. Put integers in order 2. Put rational numbers in order 3. Compare and order rational numbers using number lines
Lessons 7-8: Ordering Integers and Other Rational Numbers
1. Put integers in order 2. Put rational numbers in order 3. Compare and order rational numbers using number lines

Lesson 9: Comparing Integers and Other Rational Numbers		1. Compare integers
Lesson 9: Comparing Integers and Other Rational Numbers
1. Compare integers

Lesson 10: Writing and Interpreting Inequality Statements Involving Rational Numbers		1. Rational numbers: equal or not equal 2. Compare rational numbers
Lesson 10: Writing and Interpreting Inequality Statements Involving Rational Numbers
1. Rational numbers: equal or not equal 2. Compare rational numbers

Lesson 11: Absolute Value—Magnitude and Distance		1. Understanding absolute value 2. Absolute value 3. Absolute value of rational numbers Also consider: • Absolute values and opposites of rational numbers
Lesson 11: Absolute Value—Magnitude and Distance
1. Understanding absolute value 2. Absolute value 3. Absolute value of rational numbers Also consider: • Absolute values and opposites of rational numbers

Lesson 12: The Relationship Between Absolute Value and Order		1. Integer inequalities with absolute values 2. Inequalities with absolute values
Lesson 12: The Relationship Between Absolute Value and Order
1. Integer inequalities with absolute values 2. Inequalities with absolute values

Lesson 13: Statements of Order in the Real World		1. Compare and order rational numbers: word problems 2. Absolute value and integers: word problems
Lesson 13: Statements of Order in the Real World
1. Compare and order rational numbers: word problems 2. Absolute value and integers: word problems
Topic C - Rational Numbers and the Coordinate Plane
Lesson 14: Ordered Pairs		1. Objects on a coordinate plane
Lesson 14: Ordered Pairs
1. Objects on a coordinate plane

Lesson 15: Locating Ordered Pairs on the Coordinate Plane		1. Describe the coordinate plane 2. Quadrants 3. Graph points on a coordinate plane Also consider: • Coordinate planes as maps • Follow directions on a coordinate plane
Lesson 15: Locating Ordered Pairs on the Coordinate Plane
1. Describe the coordinate plane 2. Quadrants 3. Graph points on a coordinate plane Also consider: • Coordinate planes as maps • Follow directions on a coordinate plane

Lesson 16: Symmetry in the Coordinate Plane		1. Reflect a point over an axis Also consider: • Line symmetry
Lesson 16: Symmetry in the Coordinate Plane
1. Reflect a point over an axis Also consider: • Line symmetry

Lesson 17: Drawing the Coordinate Plane and Points on the Plane		1. Graph non-integer points on a coordinate plane Also consider: • Objects on a coordinate plane
Lesson 17: Drawing the Coordinate Plane and Points on the Plane
1. Graph non-integer points on a coordinate plane Also consider: • Objects on a coordinate plane

Lesson 18: Distance on the Coordinate Plane		1. Distances on coordinate planes as maps 2. Distance between two points
Lesson 18: Distance on the Coordinate Plane
1. Distances on coordinate planes as maps 2. Distance between two points

Lesson 19: Problem Solving and the Coordinate Plane		1. Graph squares and rectangles on the coordinate plane
Lesson 19: Problem Solving and the Coordinate Plane
1. Graph squares and rectangles on the coordinate plane

4	Module 4 Expressions and Equations
Topic A - Relationships of the Operations
Lesson 1: The Relationship of Addition and Subtraction
Lesson 1: The Relationship of Addition and Subtraction


Lesson 2: The Relationship of Multiplication and Division		1. Multiplicative inverses
Lesson 2: The Relationship of Multiplication and Division
1. Multiplicative inverses

Lesson 3: The Relationship of Multiplication and Addition		1. Add and subtract like terms Also consider: • Identify terms and coefficients
Lesson 3: The Relationship of Multiplication and Addition
1. Add and subtract like terms Also consider: • Identify terms and coefficients

Lesson 4: The Relationship of Division and Subtraction		1. Divide using repeated subtraction
Lesson 4: The Relationship of Division and Subtraction
1. Divide using repeated subtraction
Topic B - Special Notations of Operations
Lesson 5: Exponents		1. Write multiplication expressions using exponents 2. Evaluate powers 3. Find the missing exponent or base 4. Write variable expressions with exponents Also consider: • Write powers of ten with exponents • Convert between standard and scientific notation
Lesson 5: Exponents
1. Write multiplication expressions using exponents 2. Evaluate powers 3. Find the missing exponent or base 4. Write variable expressions with exponents Also consider: • Write powers of ten with exponents • Convert between standard and scientific notation

Lesson 6: The Order of Operations		1. Evaluate numerical expressions one step at a time 2. Evaluate numerical expressions involving whole numbers 3. Identify mistakes involving the order of operations
Lesson 6: The Order of Operations
1. Evaluate numerical expressions one step at a time 2. Evaluate numerical expressions involving whole numbers 3. Identify mistakes involving the order of operations
Topic C - Replacing Letters and Numbers
Lesson 7: Replacing Letters with Numbers		1. Perimeter 2. Area of rectangles and squares
Lesson 7: Replacing Letters with Numbers
1. Perimeter 2. Area of rectangles and squares

Lesson 8: Replacing Numbers with Letters		1. Properties of addition 2. Properties of multiplication
Lesson 8: Replacing Numbers with Letters
1. Properties of addition 2. Properties of multiplication
Topic D - Expanding, Factoring, and Distributing Expressions
Lesson 9: Writing Addition and Subtraction Expressions		1. Write addition and subtraction expressions
Lesson 9: Writing Addition and Subtraction Expressions
1. Write addition and subtraction expressions

Lesson 10: Writing and Expanding Multiplication Expressions		1. Prime factorization 2. Sort factors of variable expressions 3. Identify equivalent expressions using strip models
Lesson 10: Writing and Expanding Multiplication Expressions
1. Prime factorization 2. Sort factors of variable expressions 3. Identify equivalent expressions using strip models

Lesson 11: Factoring 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: • Greatest common factor of two or three numbers
Lesson 11: Factoring 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: • Greatest common factor of two or three numbers

Lesson 12: Distributing Expressions		1. Multiply using the distributive property: area models 2. Multiply using the distributive property Also consider: • Write equivalent expressions using properties
Lesson 12: Distributing Expressions
1. Multiply using the distributive property: area models 2. Multiply using the distributive property Also consider: • Write equivalent expressions using properties

Lessons 13-14: Writing Division Expressions		1. Relate division and fractions 2. Write variable expressions: one operation 3. Write variable expressions: two operations
Lessons 13-14: Writing Division Expressions
1. Relate division and fractions 2. Write variable expressions: one operation 3. Write variable expressions: two operations
Topic E - Expressing Operations in Algebraic Form
Lesson 15: Read Expressions in Which Letters Stand for Numbers
Lesson 15: Read Expressions in Which Letters Stand for Numbers


Lessons 16-17: Write Expressions in Which Letters Stand for Numbers		1. Write variable expressions: word problems 2. Write expressions with exponents
Lessons 16-17: Write Expressions in Which Letters Stand for Numbers
1. Write variable expressions: word problems 2. Write expressions with exponents
Topic F - Writing and Evaluating Expressions and Formulas
Lesson 18: Writing and Evaluating Expressions—Addition and Subtraction		1. Identify expressions and equations
Lesson 18: Writing and Evaluating Expressions—Addition and Subtraction
1. Identify expressions and equations

Lesson 19: Substituting to Evaluate Addition and Subtraction Expressions		1. Evaluate addition and subtraction expressions
Lesson 19: Substituting to Evaluate Addition and Subtraction Expressions
1. Evaluate addition and subtraction expressions

Lesson 20: Writing and Evaluating Expressions—Multiplication and Division		1. Complete a table for a multiplicative relationship 2. Evaluate variable expressions involving division
Lesson 20: Writing and Evaluating Expressions—Multiplication and Division
1. Complete a table for a multiplicative relationship 2. Evaluate variable expressions involving division

Lesson 21: Writing and Evaluating Expressions—Multiplication and Addition		1. Complete a table for a two-variable relationship II Also consider: • Evaluate variable expressions with whole numbers • Evaluate variable expressions
Lesson 21: Writing and Evaluating Expressions—Multiplication and Addition
1. Complete a table for a two-variable relationship II Also consider: • Evaluate variable expressions with whole numbers • Evaluate variable expressions

Lesson 22: Writing and Evaluating Expressions—Exponents
Lesson 22: Writing and Evaluating Expressions—Exponents

Topic G - Solving Equations
Lessons 23-24: True and False Number Sentences		1. Does x satisfy an equation? 2. Solutions to inequalities
Lessons 23-24: True and False Number Sentences
1. Does x satisfy an equation? 2. Solutions to inequalities

Lesson 25: Finding Solutions to Make Equations True		1. Which x satisfies an equation? 2. Solve one-step equations with whole numbers
Lesson 25: Finding Solutions to Make Equations True
1. Which x satisfies an equation? 2. Solve one-step equations with whole numbers

Lesson 26: One-Step Equations—Addition and Subtraction		1. Model and solve addition and subtraction equations using diagrams 2. Solve one-step addition and subtraction equations with whole numbers Also consider: • Solve one-step addition and subtraction equations: word problems
Lesson 26: One-Step Equations—Addition and Subtraction
1. Model and solve addition and subtraction equations using diagrams 2. Solve one-step addition and subtraction equations with whole numbers Also consider: • Solve one-step addition and subtraction equations: word problems

Lesson 27: One-Step Equations—Multiplication and Division		1. Model and solve multiplication and division equations using diagrams 2. Solve one-step multiplication and division equations with whole numbers Also consider: • Model and solve equations using algebra tiles • Model and solve equations using diagrams
Lesson 27: One-Step Equations—Multiplication and Division
1. Model and solve multiplication and division equations using diagrams 2. Solve one-step multiplication and division equations with whole numbers Also consider: • Model and solve equations using algebra tiles • Model and solve equations using diagrams

Lesson 28: Two-Step Problems—All Operations		1. Write a one-step equation: word problems 2. Solve one-step equations: word problems 3. Which word problem matches the one-step equation? 4. Solve two-step equations
Lesson 28: Two-Step Problems—All Operations
1. Write a one-step equation: word problems 2. Solve one-step equations: word problems 3. Which word problem matches the one-step equation? 4. Solve two-step equations

Lesson 29: Multi-Step Problems—All Operations		1. Solve equations involving like terms
Lesson 29: Multi-Step Problems—All Operations
1. Solve equations involving like terms
Topic H - Applications of Equations
Lesson 30: One-Step Problems in the Real World		1. Find measures of complementary, supplementary, vertical, and adjacent angles Also consider: • Name angles • Complementary and supplementary angles • Identify complementary, supplementary, vertical, adjacent, and congruent angles
Lesson 30: One-Step Problems in the Real World
1. Find measures of complementary, supplementary, vertical, and adjacent angles Also consider: • Name angles • Complementary and supplementary angles • Identify complementary, supplementary, vertical, adjacent, and congruent angles

Lesson 31: Problems in Mathematical Terms		1. Identify independent and dependent variables: word problems 2. Complete a table for a two-variable relationship 3. Write a two-variable equation from a table
Lesson 31: Problems in Mathematical Terms
1. Identify independent and dependent variables: word problems 2. Complete a table for a two-variable relationship 3. Write a two-variable equation from a table

Lesson 32: Multi-Step Problems in the Real World		1. Identify independent and dependent variables in tables and graphs 2. Does (x, y) satisfy an equation? 3. Write a two-variable equation
Lesson 32: Multi-Step Problems in the Real World
1. Identify independent and dependent variables in tables and graphs 2. Does (x, y) satisfy an equation? 3. Write a two-variable equation

Lesson 33: From Equations to Inequalities		1. Solutions to equations and inequalities
Lesson 33: From Equations to Inequalities
1. Solutions to equations and inequalities

Lesson 34: Writing and Graphing Inequalities in Real-World Problems		1. Graph inequalities on number lines 2. Write inequalities from number lines 3. Write and graph inequalities: word problems 4. One-step inequalities: word problems Also consider: • Solve one-step inequalities • Graph solutions to one-step inequalities
Lesson 34: Writing and Graphing Inequalities in Real-World Problems
1. Graph inequalities on number lines 2. Write inequalities from number lines 3. Write and graph inequalities: word problems 4. One-step inequalities: word problems Also consider: • Solve one-step inequalities • Graph solutions to one-step inequalities

5	Module 5 Area, Surface Area, and Volume Problems
Topic A - Area of Triangles, Quadrilaterals, and Polygons
Lesson 1: The Area of Parallelograms Through Rectangle Facts		1. Understanding area of a parallelogram 2. Area of parallelograms
Lesson 1: The Area of Parallelograms Through Rectangle Facts
1. Understanding area of a parallelogram 2. Area of parallelograms

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

Lesson 3: The Area of Acute Triangles Using Height and Base		1. Understanding area of a triangle
Lesson 3: The Area of Acute Triangles Using Height and Base
1. Understanding area of a triangle

Lesson 4: The Area of All Triangles Using Height and Base		1. Area of triangles
Lesson 4: The Area of All Triangles Using Height and Base
1. Area of triangles

Lesson 5: The Area of Polygons Through Composition and Decomposition		1. Understanding area of a trapezoid 2. Area of trapezoids 3. Area of compound figures Also consider: • Area of compound figures with triangles
Lesson 5: The Area of Polygons Through Composition and Decomposition
1. Understanding area of a trapezoid 2. Area of trapezoids 3. Area of compound figures Also consider: • Area of compound figures with triangles

Lesson 6: Area in the Real World		1. Area between two rectangles Also consider: • Area between two triangles
Lesson 6: Area in the Real World
1. Area between two rectangles Also consider: • Area between two triangles
Topic B - Polygons on the Coordinate Plane
Lesson 7: Distance on the Coordinate Plane
Lesson 7: Distance on the Coordinate Plane


Lesson 8: Drawing Polygons in the Coordinate Plane		1. Graph quadrilaterals on the coordinate plane
Lesson 8: Drawing Polygons in the Coordinate Plane
1. Graph quadrilaterals on the coordinate plane

Lesson 9: Determining Perimeter and Area of Polygons on the Coordinate Plane		1. Area and perimeter of squares and rectangles on the coordinate plane 2. Area of triangles on the coordinate plane 3. Area of figures on the coordinate plane
Lesson 9: Determining Perimeter and Area of Polygons on the Coordinate Plane
1. Area and perimeter of squares and rectangles on the coordinate plane 2. Area of triangles on the coordinate plane 3. Area of figures on the coordinate plane

Lesson 10: Distance, Perimeter, and Area in the Real World		1. Area of quadrilaterals and triangles: word problems
Lesson 10: Distance, Perimeter, and Area in the Real World
1. Area of quadrilaterals and triangles: word problems
Topic C - Volume of Right Rectangular Prisms
Lesson 11: Volume with Fractional Edge Lengths and Unit Cubes
Lesson 11: Volume with Fractional Edge Lengths and Unit Cubes


Lesson 12: From Unit Cubes to the Formulas for Volume		1. Volume of cubes and rectangular prisms 2. Volume of cubes and rectangular prisms with fractional side lengths Also consider: • Volume of triangular prisms
Lesson 12: From Unit Cubes to the Formulas for Volume
1. Volume of cubes and rectangular prisms 2. Volume of cubes and rectangular prisms with fractional side lengths Also consider: • Volume of triangular prisms

Lesson 13: The Formulas for Volume		1. Volume: changes in scale
Lesson 13: The Formulas for Volume
1. Volume: changes in scale

Lesson 14: Volume in the Real World		1. Volume of cubes and rectangular prisms: word problems
Lesson 14: Volume in the Real World
1. Volume of cubes and rectangular prisms: word problems
Topic D - Nets and Surface Area
Lesson 15: Representing Three-Dimensional Figures Using Nets		1. Nets of three-dimensional figures Also consider: • Identify polyhedra • Which figure is being described?
Lesson 15: Representing Three-Dimensional Figures Using Nets
1. Nets of three-dimensional figures Also consider: • Identify polyhedra • Which figure is being described?

Lesson 16: Constructing Nets		1. Front, side, and top view
Lesson 16: Constructing Nets
1. Front, side, and top view

Lesson 17: From Nets to Surface Area
Lesson 17: From Nets to Surface Area


Lesson 18: Determining Surface Area of Three-Dimensional Figures		1. Surface area of cubes and rectangular prisms Also consider: • Surface area of triangular prisms
Lesson 18: Determining Surface Area of Three-Dimensional Figures
1. Surface area of cubes and rectangular prisms Also consider: • Surface area of triangular prisms

Lesson 19: Surface Area and Volume in the Real World		1. Relate volume and surface area
Lesson 19: Surface Area and Volume in the Real World
1. Relate volume and surface area

Lesson 19a: Addendum Lesson for Modeling―Applying Surface Area and Volume to Aquariums (Optional)
Lesson 19a: Addendum Lesson for Modeling―Applying Surface Area and Volume to Aquariums (Optional)

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

Lesson 2: Displaying a Data Distribution		1. Interpret line plots
Lesson 2: Displaying a Data Distribution
1. Interpret line plots

Lesson 3: Creating a Dot Plot		1. Create frequency tables 2. Create line plots Also consider: • Create and interpret line plots with fractions
Lesson 3: Creating a Dot Plot
1. Create frequency tables 2. Create line plots Also consider: • Create and interpret line plots with fractions

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

Lesson 5: Describing a Distribution Displayed in a Histogram		1. Create relative frequency tables
Lesson 5: Describing a Distribution Displayed in a Histogram
1. Create relative frequency tables
Topic B - Summarizing a Distribution That Is Approximately Symmetric Using the Mean and Mean Absolute Deviation
Lesson 6: Describing the Center of a Distribution Using the Mean
Lesson 6: Describing the Center of a Distribution Using the Mean


Lesson 7: The Mean as a Balance Point		1. Calculate mean
Lesson 7: The Mean as a Balance Point
1. Calculate mean

Lesson 8: Variability in a Data Distribution		1. Calculate range
Lesson 8: Variability in a Data Distribution
1. Calculate range

Lesson 9: The Mean Absolute Deviation (MAD)		1. Calculate mean absolute deviation
Lesson 9: The Mean Absolute Deviation (MAD)
1. Calculate mean absolute deviation

Lessons 10-11: Describing Distributions Using the Mean and MAD		1. Interpret measures of center and variability
Lessons 10-11: Describing Distributions Using the Mean and MAD
1. Interpret measures of center and variability
Topic C - Summarizing a Distribution That Is Skewed Using the Median and the Interquartile Range
Lesson 12: Describing the Center of a Distribution Using the Median		1. Calculate median
Lesson 12: Describing the Center of a Distribution Using the Median
1. Calculate median

Lesson 13: Describing Variability Using the Interquartile Range (IQR)		1. Calculate quartiles and interquartile range
Lesson 13: Describing Variability Using the Interquartile Range (IQR)
1. Calculate quartiles and interquartile range

Lesson 14: Summarizing a Distribution Using a Box Plot		1. Choose the correct box plot
Lesson 14: Summarizing a Distribution Using a Box Plot
1. Choose the correct box plot

Lesson 15: More Practice with Box Plots		1. Box plots
Lesson 15: More Practice with Box Plots
1. Box plots

Lesson 16: Understanding Box Plots		1. Interpret line plots, histograms, and box plots
Lesson 16: Understanding Box Plots
1. Interpret line plots, histograms, and box plots
Topic D - Summarizing and Describing Distributions
Lesson 17: Developing a Statistical Project
Lesson 17: Developing a Statistical Project


Lesson 18: Connecting Graphical Representations and Numerical Summaries		1. Calculate mean, median, mode, and range 2. Interpret charts and graphs to find mean, median, mode, and range
Lesson 18: Connecting Graphical Representations and Numerical Summaries
1. Calculate mean, median, mode, and range 2. Interpret charts and graphs to find mean, median, mode, and range

Lesson 19: Comparing Data Distributions		1. Mean, median, mode, and range: find the missing number 2. Changes in mean, median, mode, and range
Lesson 19: Comparing Data Distributions
1. Mean, median, mode, and range: find the missing number 2. Changes in mean, median, mode, and range

Lesson 20: Describing Center, Variability, and Shape of a Data Distribution from a Graphical Representation		1. Choose appropriate measures of center and variation
Lesson 20: Describing Center, Variability, and Shape of a Data Distribution from a Graphical Representation
1. Choose appropriate measures of center and variation

Lesson 21: Summarizing a Data Distribution by Describing Center, Variability, and Shape
Lesson 21: Summarizing a Data Distribution by Describing Center, Variability, and Shape


Lesson 22: Presenting a Summary of a Statistical Project
Lesson 22: Presenting a Summary of a Statistical Project

This document includes the IXL® skill alignments to New York State Education Department's EngageNY Math curriculum. IXL provides skill alignments as a service to teachers, students, and parents. The skill alignments are provided by IXL and are not affiliated with, sponsored by, reviewed, approved or endorsed by New York State Education Department or any other third party. IXL® and IXL Learning® are registered trademarks of IXL Learning, Inc. All other intellectual property rights (e.g., unregistered and registered trademarks and copyrights) are the property of their respective owners.