IXL skill plan | 7th grade plan for EngageNY Math

Skill plan for EngageNY Math - 7th grade

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

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1	Module 1 Ratios and Proportional Relationships
Topic A - Proportional Relationships
Lesson 1: An Experience in Relationships as Measuring Rate		1. Unit rates 2. Unit prices 3. Compare rates: word problems Also consider: • Understanding ratios • Identify equivalent ratios • Write an equivalent ratio • Equivalent ratios: word problems
Lesson 1: An Experience in Relationships as Measuring Rate
1. Unit rates 2. Unit prices 3. Compare rates: word problems Also consider: • Understanding ratios • Identify equivalent ratios • Write an equivalent ratio • Equivalent ratios: word problems

Lesson 2: Proportional Relationships		1. Solve proportions 2. Solve proportions: word problems 3. Identify proportional relationships: word problems Also consider: • Do the ratios form a proportion? • Do the ratios form a proportion: word problems
Lesson 2: Proportional Relationships
1. Solve proportions 2. Solve proportions: word problems 3. Identify proportional relationships: word problems Also consider: • Do the ratios form a proportion? • Do the ratios form a proportion: word problems

Lessons 3-4: Identifying Proportional and Non-Proportional Relationships in Tables		1. Identify proportional relationships from tables
Lessons 3-4: Identifying Proportional and Non-Proportional Relationships in Tables
1. Identify proportional relationships from tables

Lessons 5-6: Identifying Proportional and Non-Proportional Relationships in Graphs		1. Identify proportional relationships by graphing 2. Ratios and rates: complete a table and make a graph
Lessons 5-6: Identifying Proportional and Non-Proportional Relationships in Graphs
1. Identify proportional relationships by graphing 2. Ratios and rates: complete a table and make a graph
Topic B - Unit Rate and Constant of Proportionality
Lesson 7: Unit Rate as the Constant of Proportionality		1. Find the constant of proportionality from a table 2. Find the constant of proportionality from a graph
Lesson 7: Unit Rate as the Constant of Proportionality
1. Find the constant of proportionality from a table 2. Find the constant of proportionality from a graph

Lessons 8-9: Representing Proportional Relationships with Equations		1. Write equations for proportional relationships from tables 2. Write equations for proportional relationships from graphs 3. Write and solve equations for proportional relationships Also consider: • Complete a table from a proportional relationship equation
Lessons 8-9: Representing Proportional Relationships with Equations
1. Write equations for proportional relationships from tables 2. Write equations for proportional relationships from graphs 3. Write and solve equations for proportional relationships Also consider: • Complete a table from a proportional relationship equation

Lesson 10: Interpreting Graphs of Proportional Relationships		1. Graph a proportional relationship: word problems 2. Interpret graphs of proportional relationships Also consider: • Identify proportional relationships from graphs and equations • Complete a table and graph a proportional relationship
Lesson 10: Interpreting Graphs of Proportional Relationships
1. Graph a proportional relationship: word problems 2. Interpret graphs of proportional relationships Also consider: • Identify proportional relationships from graphs and equations • Complete a table and graph a proportional relationship
Topic C - Ratios and Rates Involving Fractions
Lesson 11-12: Ratios of Fractions and Their Unit Rates		1. Calculate unit rates with fractions Also consider: • Divide fractions • Divide mixed numbers
Lesson 11-12: Ratios of Fractions and Their Unit Rates
1. Calculate unit rates with fractions Also consider: • Divide fractions • Divide mixed numbers

Lesson 13: Finding Equivalent Ratios Given the Total Quantity
Lesson 13: Finding Equivalent Ratios Given the Total Quantity


Lesson 14: Multi-Step Ratio Problems
Lesson 14: Multi-Step Ratio Problems


Lesson 15: Equations of Graphs of Proportional Relationships Involving Fractions		1. Identify proportional relationships from equations 2. Identify graphs of proportional relationships 3. Identify proportional relationships from tables: with fractions
Lesson 15: Equations of Graphs of Proportional Relationships Involving Fractions
1. Identify proportional relationships from equations 2. Identify graphs of proportional relationships 3. Identify proportional relationships from tables: with fractions
Topic D - Ratios of Scale Drawings
Lesson 16: Relating Scale Drawings to Ratios and Rates
Lesson 16: Relating Scale Drawings to Ratios and Rates


Lesson 17: The Unit Rate as the Scale Factor		1. Scale drawings: scale factor word problems
Lesson 17: The Unit Rate as the Scale Factor
1. Scale drawings: scale factor word problems

Lesson 18: Computing Actual Lengths from a Scale Drawing		1. Scale drawings: word problems Also consider: • Scale drawings: find the scale factor or a missing side
Lesson 18: Computing Actual Lengths from a Scale Drawing
1. Scale drawings: word problems Also consider: • Scale drawings: find the scale factor or a missing side

Lesson 19: Computing Actual Areas from a Scale Drawing
Lesson 19: Computing Actual Areas from a Scale Drawing


Lesson 20: An Exercise in Creating a Scale Drawing
Lesson 20: An Exercise in Creating a Scale Drawing


Lessons 21-22: An Exercise in Changing Scales		1. Perimeter and area: changes in scale
Lessons 21-22: An Exercise in Changing Scales
1. Perimeter and area: changes in scale

2	Module 2 Rational Numbers
Topic A - Addition and Subtraction of Integers and Rational Numbers
Lesson 1: Opposite Quantities Combine to Make Zero		1. Understanding integers 2. Absolute value and opposite integers 3. Quantities that combine to zero: word problems Also consider: • Integers on number lines
Lesson 1: Opposite Quantities Combine to Make Zero
1. Understanding integers 2. Absolute value and opposite integers 3. Quantities that combine to zero: word problems Also consider: • Integers on number lines

Lesson 2: Using the Number Line to Model the Addition of Integers		1. Add integers using number lines
Lesson 2: Using the Number Line to Model the Addition of Integers
1. Add integers using number lines

Lesson 3: Understanding the Addition of Integers		1. Integer addition rules
Lesson 3: Understanding the Addition of Integers
1. Integer addition rules

Lesson 4: Efficiently Adding Integers and Other Rational Numbers		1. Add integers 2. Add positive and negative decimals 3. Add positive and negative fractions
Lesson 4: Efficiently Adding Integers and Other Rational Numbers
1. Add integers 2. Add positive and negative decimals 3. Add positive and negative fractions

Lesson 5: Understanding Subtraction of Integers and Other Rational Numbers		1. Integer subtraction rules 2. Subtract integers using number lines 3. Subtract integers Also consider: • Apply addition and subtraction rules
Lesson 5: Understanding Subtraction of Integers and Other Rational Numbers
1. Integer subtraction rules 2. Subtract integers using number lines 3. Subtract integers Also consider: • Apply addition and subtraction rules

Lesson 6: The Distance Between Two Rational Numbers		1. Add and subtract integers: word problems
Lesson 6: The Distance Between Two Rational Numbers
1. Add and subtract integers: word problems

Lesson 7: Addition and Subtraction of Rational Numbers		1. Add and subtract integers 2. Add and subtract rational numbers
Lesson 7: Addition and Subtraction of Rational Numbers
1. Add and subtract integers 2. Add and subtract rational numbers

Lessons 8-9: Applying the Properties of Operations to Add and Subtract Rational Numbers		1. Add three or more integers 2. Add and subtract positive and negative fractions 3. Add and subtract positive and negative mixed numbers 4. Add and subtract positive and negative decimals
Lessons 8-9: Applying the Properties of Operations to Add and Subtract Rational Numbers
1. Add three or more integers 2. Add and subtract positive and negative fractions 3. Add and subtract positive and negative mixed numbers 4. Add and subtract positive and negative decimals
Topic B - Multiplication and Division of Integers and Rational Numbers
Lesson 10: Understanding Multiplication of Integers		1. Understand multiplying by a negative integer using a number line
Lesson 10: Understanding Multiplication of Integers
1. Understand multiplying by a negative integer using a number line

Lesson 11: Develop Rules of Multiplying Signed Numbers		1. Integer multiplication rules 2. Multiply integers
Lesson 11: Develop Rules of Multiplying Signed Numbers
1. Integer multiplication rules 2. Multiply integers

Lesson 12: Division of Integers		1. Integer division rules 2. Equal quotients of integers 3. Divide integers
Lesson 12: Division of Integers
1. Integer division rules 2. Equal quotients of integers 3. Divide integers

Lesson 13: Converting Between Fractions and Decimals Using Equivalent Fractions		1. Convert decimals to fractions or mixed numbers 2. Convert fractions or mixed numbers to terminating decimals
Lesson 13: Converting Between Fractions and Decimals Using Equivalent Fractions
1. Convert decimals to fractions or mixed numbers 2. Convert fractions or mixed numbers to terminating decimals

Lesson 14: Converting Rational Numbers to Decimals Using Long Division		1. Convert fractions or mixed numbers to decimals
Lesson 14: Converting Rational Numbers to Decimals Using Long Division
1. Convert fractions or mixed numbers to decimals

Lesson 15: Multiplication and Division of Rational Numbers		1. Multiply and divide positive and negative decimals 2. Multiply and divide positive and negative fractions 3. Multiply and divide rational numbers 4. Identify quotients of rational numbers: word problems Also consider: • Integer multiplication and division rules • Apply multiplication and division rules
Lesson 15: Multiplication and Division of Rational Numbers
1. Multiply and divide positive and negative decimals 2. Multiply and divide positive and negative fractions 3. Multiply and divide rational numbers 4. Identify quotients of rational numbers: word problems Also consider: • Integer multiplication and division rules • Apply multiplication and division rules

Lesson 16: Applying the Properties of Operations to Multiply and Divide Rational Numbers		1. Evaluate numerical expressions involving rational numbers
Lesson 16: Applying the Properties of Operations to Multiply and Divide Rational Numbers
1. Evaluate numerical expressions involving rational numbers
Topic C - Applying Operations with Rational Numbers to Expressions and Equations
Lesson 17: Comparing Tape Diagram Solutions to Algebraic Solutions		1. Solve equations with positive numbers 2. Solve equations with positive numbers: with parentheses
Lesson 17: Comparing Tape Diagram Solutions to Algebraic Solutions
1. Solve equations with positive numbers 2. Solve equations with positive numbers: with parentheses

Lesson 18-19: Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers		1. Write variable expressions: two or three operations 2. Identify equivalent linear expressions: word problems 3. Evaluate multi-variable expressions
Lesson 18-19: Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers
1. Write variable expressions: two or three operations 2. Identify equivalent linear expressions: word problems 3. Evaluate multi-variable expressions

Lesson 20: Investments-Performing Operations with Rational Numbers
Lesson 20: Investments-Performing Operations with Rational Numbers


Lesson 21: If-Then Moves with Integer Number Cards		1. Evaluate numerical expressions involving integers 2. Complete addition and subtraction equations with integers 3. Complete multiplication and division equations with integers Also consider: • Solve equations using properties
Lesson 21: If-Then Moves with Integer Number Cards
1. Evaluate numerical expressions involving integers 2. Complete addition and subtraction equations with integers 3. Complete multiplication and division equations with integers Also consider: • Solve equations using properties

Lessons 22-23: Solving Equations Using Algebra		1. Solve two-step equations 2. Solve equations: complete the solution 3. Solve two-step equations: word problems Also consider: • Solve two-step equations without parentheses • Solve two-step equations with parentheses • Evaluate two-variable equations: word problems • Choose two-step equations: word problems
Lessons 22-23: Solving Equations Using Algebra
1. Solve two-step equations 2. Solve equations: complete the solution 3. Solve two-step equations: word problems Also consider: • Solve two-step equations without parentheses • Solve two-step equations with parentheses • Evaluate two-variable equations: word problems • Choose two-step equations: word problems

3	Module 3 Expressions and Equations
Topic A - Use Properties of Operations to Generate Equivalent Expressions
Lessons 1-2: Generating Equivalent Expressions		1. Write equivalent expressions using properties 2. Add and subtract linear expressions 3. Simplify expressions by combining like terms Also consider: • Identify equivalent linear expressions I • Identify equivalent linear expressions II
Lessons 1-2: Generating Equivalent Expressions
1. Write equivalent expressions using properties 2. Add and subtract linear expressions 3. Simplify expressions by combining like terms Also consider: • Identify equivalent linear expressions I • Identify equivalent linear expressions II

Lessons 3-4: Writing Products as Sums and Sums as Products		1. Multiply using the distributive property: area models 2. Multiply using the distributive property 3. Factor linear expressions: area models 4. Factors of linear expressions
Lessons 3-4: Writing Products as Sums and Sums as Products
1. Multiply using the distributive property: area models 2. Multiply using the distributive property 3. Factor linear expressions: area models 4. Factors of linear expressions

Lesson 5: Using the Identity and Inverse to Write Equivalent Expressions		1. Multiplicative inverses Also consider: • Reciprocals
Lesson 5: Using the Identity and Inverse to Write Equivalent Expressions
1. Multiplicative inverses Also consider: • Reciprocals

Lesson 6: Collecting Rational Number Like Terms
Lesson 6: Collecting Rational Number Like Terms

Topic B - Solve Problems Using Expressions, Equations, and Inequalities
Lesson 7: Understanding Equations		1. Solve two-step equations: word problems 2. Choose two-step equations: word problems Also consider: • Evaluate variable expressions involving decimals
Lesson 7: Understanding Equations
1. Solve two-step equations: word problems 2. Choose two-step equations: word problems Also consider: • Evaluate variable expressions involving decimals

Lessons 8-9: Using If-Then Moves in Solving Equations		1. Choose two-step equations: word problems
Lessons 8-9: Using If-Then Moves in Solving Equations
1. Choose two-step equations: word problems

Lessons 10-11: Angle Problems and Solving Equations
Lessons 10-11: Angle Problems and Solving Equations


Lesson 12: Properties of Inequalities		1. Solutions to inequalities Also consider: • Multi-step inequalities with decimals • Inequalities with addition and subtraction of fractions and mixed numbers
Lesson 12: Properties of Inequalities
1. Solutions to inequalities Also consider: • Multi-step inequalities with decimals • Inequalities with addition and subtraction of fractions and mixed numbers

Lesson 13: Inequalities		1. One-step inequalities: word problems
Lesson 13: Inequalities
1. One-step inequalities: word problems

Lesson 14: Solving Inequalities		1. Solve one-step inequalities 2. Solve two-step inequalities Also consider: • Solve one-step addition and subtraction inequalities: word problems • Solve one-step multiplication and division inequalities I
Lesson 14: Solving Inequalities
1. Solve one-step inequalities 2. Solve two-step inequalities Also consider: • Solve one-step addition and subtraction inequalities: word problems • Solve one-step multiplication and division inequalities I

Lesson 15: Graphing Solutions to Inequalities		1. Graph solutions to one-step inequalities 2. Graph solutions to two-step inequalities 3. Write inequalities from number lines
Lesson 15: Graphing Solutions to Inequalities
1. Graph solutions to one-step inequalities 2. Graph solutions to two-step inequalities 3. Write inequalities from number lines
Topic C - Use Equations and Inequalities to Solve Geometry Problems
Lesson 16: The Most Famous Ratio of All		1. Parts of a circle 2. Circumference of circles 3. Perimeter of semicircles Also consider: • Radius and diameter of circles
Lesson 16: The Most Famous Ratio of All
1. Parts of a circle 2. Circumference of circles 3. Perimeter of semicircles Also consider: • Radius and diameter of circles

Lesson 17: The Area of a Circle		1. Area of circles Also consider: • Circles: word problems
Lesson 17: The Area of a Circle
1. Area of circles Also consider: • Circles: word problems

Lesson 18: More Problems on Area and Circumference		1. Area of semicircles and quarter circles 2. Semicircles: calculate area, perimeter, radius, and diameter 3. Quarter circles: calculate area, perimeter, and radius Also consider: • Find the radius or diameter of a circle given the circumference • Find the area of a circle given the circumference
Lesson 18: More Problems on Area and Circumference
1. Area of semicircles and quarter circles 2. Semicircles: calculate area, perimeter, radius, and diameter 3. Quarter circles: calculate area, perimeter, and radius Also consider: • Find the radius or diameter of a circle given the circumference • Find the area of a circle given the circumference

Lesson 19: Unknown Area Problems on the Coordinate Plane		1. Area of figures on the coordinate plane Also consider: • Area of rectangles and parallelograms • Area of triangles and trapezoids
Lesson 19: Unknown Area Problems on the Coordinate Plane
1. Area of figures on the coordinate plane Also consider: • Area of rectangles and parallelograms • Area of triangles and trapezoids

Lesson 20: Composite Area Problems		1. Area of compound figures with triangles, semicircles, and quarter circles 2. Area between two shapes
Lesson 20: Composite Area Problems
1. Area of compound figures with triangles, semicircles, and quarter circles 2. Area between two shapes

Lessons 21-22: Surface Area		1. Surface area of cubes and prisms 2. Surface area of pyramids Also consider: • Bases of three-dimensional figures • Nets of three-dimensional figures
Lessons 21-22: Surface Area
1. Surface area of cubes and prisms 2. Surface area of pyramids Also consider: • Bases of three-dimensional figures • Nets of three-dimensional figures

Lessons 23-24: The Volume of a Right Prism		1. Volume of cubes and prisms 2. Volume of cubes and rectangular prisms with fractional side lengths 3. Volume of cubes and rectangular prisms: word problems
Lessons 23-24: The Volume of a Right Prism
1. Volume of cubes and prisms 2. Volume of cubes and rectangular prisms with fractional side lengths 3. Volume of cubes and rectangular prisms: word problems

Lessons 25-26: Volume and Surface Area		1. Volume and surface area of prisms 2. Relate between volume and surface area
Lessons 25-26: Volume and Surface Area
1. Volume and surface area of prisms 2. Relate between volume and surface area

4	Module 4 Percent and Proportional Relationships
Topic A - Finding the Whole
Lesson 1: Percent		1. What percentage is illustrated? 2. Convert between percents, fractions, and decimals 3. Compare percents to fractions and decimals
Lesson 1: Percent
1. What percentage is illustrated? 2. Convert between percents, fractions, and decimals 3. Compare percents to fractions and decimals

Lesson 2: Part of a Whole as a Percent		1. Percents of numbers and money amounts 2. Percents of numbers: word problems Also consider: • Estimate percents of numbers
Lesson 2: Part of a Whole as a Percent
1. Percents of numbers and money amounts 2. Percents of numbers: word problems Also consider: • Estimate percents of numbers

Lesson 3: Comparing Quantities with Percent		1. Solve percent equations 2. Solve percent equations: word problems
Lesson 3: Comparing Quantities with Percent
1. Solve percent equations 2. Solve percent equations: word problems

Lesson 4: Percent Increase and Decrease		1. Percent of change 2. Percent of change: word problems
Lesson 4: Percent Increase and Decrease
1. Percent of change 2. Percent of change: word problems

Lesson 5: Finding One Hundred Percent Given Another Percent
Lesson 5: Finding One Hundred Percent Given Another Percent


Lesson 6: Fluency with Percents		1. Solve percent problems using strip models 2. Solve percent problems
Lesson 6: Fluency with Percents
1. Solve percent problems using strip models 2. Solve percent problems
Topic B - Percent Problems Including More Than One Whole
Lesson 7: Markup and Markdown Problems		1. Percent of a number: tax, discount, and more 2. Find the percent: tax, discount, and more Also consider: • Markups and sales • Find the percent: markups and sales
Lesson 7: Markup and Markdown Problems
1. Percent of a number: tax, discount, and more 2. Find the percent: tax, discount, and more Also consider: • Markups and sales • Find the percent: markups and sales

Lesson 8: Percent Error Problems		1. Percent error: word problems
Lesson 8: Percent Error Problems
1. Percent error: word problems

Lesson 9: Problem Solving When the Percent Changes		1. Percent of change: find the original amount word problems
Lesson 9: Problem Solving When the Percent Changes
1. Percent of change: find the original amount word problems

Lesson 10: Simple Interest		1. Simple interest
Lesson 10: Simple Interest
1. Simple interest

Lesson 11: Tax, Commissions, Fees, and Other Real-World Percent Applications		1. Tax, tips, and commission 2. Multi-step problems with percents
Lesson 11: Tax, Commissions, Fees, and Other Real-World Percent Applications
1. Tax, tips, and commission 2. Multi-step problems with percents
Topic C - Scale Drawings
Lesson 12: The Scale Factor as a Percent for a Scale Drawing
Lesson 12: The Scale Factor as a Percent for a Scale Drawing


Lesson 13: Changing Scales
Lesson 13: Changing Scales


Lesson 14: Computing Actual Lengths from a Scale Drawing
Lesson 14: Computing Actual Lengths from a Scale Drawing


Lesson 15: Solving Area Problems Using Scale Drawings
Lesson 15: Solving Area Problems Using Scale Drawings

Topic D - Population, Mixture, and Counting Problems Involving Percents
Lesson 16: Population Problems
Lesson 16: Population Problems


Lesson 17: Mixture Problems
Lesson 17: Mixture Problems


Lesson 18: Counting Problems
Lesson 18: Counting Problems

5	Module 5 Statistics and Probability
Topic A - Calculating and Interpreting Probabilities
Lesson 1: Chance Experiments		1. Certain, probable, unlikely, impossible: with spinners
Lesson 1: Chance Experiments
1. Certain, probable, unlikely, impossible: with spinners

Lesson 2: Estimating Probabilities by Collecting Data		1. Make predictions using theoretical probability 2. Use collected data to find probabilities and make predictions
Lesson 2: Estimating Probabilities by Collecting Data
1. Make predictions using theoretical probability 2. Use collected data to find probabilities and make predictions

Lesson 3: Chance Experiments with Equally Likely Outcomes		1. Find the number of outcomes: word problems
Lesson 3: Chance Experiments with Equally Likely Outcomes
1. Find the number of outcomes: word problems

Lesson 4: Calculating Probabilities for Chance Experiments with Equally Likely Outcomes		1. Probability of simple events
Lesson 4: Calculating Probabilities for Chance Experiments with Equally Likely Outcomes
1. Probability of simple events

Lesson 5: Chance Experiments with Outcomes That Are Not Equally Likely		1. Probability of simple events and opposite events 2. Probability of mutually exclusive events and overlapping events
Lesson 5: Chance Experiments with Outcomes That Are Not Equally Likely
1. Probability of simple events and opposite events 2. Probability of mutually exclusive events and overlapping events

Lesson 6: Using Tree Diagrams to Represent a Sample Space and to Calculate Probabilities		1. Sample spaces for compound events 2. Compound events: find the number of outcomes Also consider: • Compound events: find the number of sums
Lesson 6: Using Tree Diagrams to Represent a Sample Space and to Calculate Probabilities
1. Sample spaces for compound events 2. Compound events: find the number of outcomes Also consider: • Compound events: find the number of sums

Lesson 7: Calculating Probabilities of Compound Events		1. Probability of compound events
Lesson 7: Calculating Probabilities of Compound Events
1. Probability of compound events
Topic B - Estimating Probabilities
Lesson 8: The Difference Between Theoretical Probabilities and Estimated Probabilities
Lesson 8: The Difference Between Theoretical Probabilities and Estimated Probabilities


Lesson 9: Comparing Estimated Probabilities to Probabilities Predicted by a Model
Lesson 9: Comparing Estimated Probabilities to Probabilities Predicted by a Model


Lessons 10-11: Conducting a Simulation to Estimate the Probability of an Event		1. Which simulation represents the situation?
Lessons 10-11: Conducting a Simulation to Estimate the Probability of an Event
1. Which simulation represents the situation?

Lesson 12: Applying Probability to Make Informed Decisions
Lesson 12: Applying Probability to Make Informed Decisions

Topic C - Random Sampling and Estimating Population Characteristics
Lesson 13: Populations, Samples, and Generalizing from a Sample to a Population		1. Populations and samples
Lesson 13: Populations, Samples, and Generalizing from a Sample to a Population
1. Populations and samples

Lesson 14: Selecting a Sample		1. Identify representative and random samples
Lesson 14: Selecting a Sample
1. Identify representative and random samples

Lesson 15: Random Sampling
Lesson 15: Random Sampling


Lesson 16: Methods for Selecting a Random Sample
Lesson 16: Methods for Selecting a Random Sample


Lesson 17: Sampling Variability		1. Calculate mean for data sets and line plots 2. Create line plots 3. Make inferences from multiple samples Also consider: • Calculate mean
Lesson 17: Sampling Variability
1. Calculate mean for data sets and line plots 2. Create line plots 3. Make inferences from multiple samples Also consider: • Calculate mean

Lesson 18: Sampling Variability and the Effect of Sample Size
Lesson 18: Sampling Variability and the Effect of Sample Size


Lesson 19: Understanding Variability When Estimating a Population Proportion
Lesson 19: Understanding Variability When Estimating a Population Proportion


Lesson 20: Estimating a Population Proportion		1. Estimate population size using proportions
Lesson 20: Estimating a Population Proportion
1. Estimate population size using proportions
Topic D - Comparing Populations
Lesson 21: Why Worry About Sampling Variability?		1. Compare populations using measures of center and spread
Lesson 21: Why Worry About Sampling Variability?
1. Compare populations using measures of center and spread

Lessons 22-23: Using Sample Data to Compare the Means of Two or More Populations		1. Calculate mean absolute deviation
Lessons 22-23: Using Sample Data to Compare the Means of Two or More Populations
1. Calculate mean absolute deviation

6	Module 6 Geometry
Topic A - Unknown Angles
Lesson 1: Complementary and Supplementary Angles		1. Find measures of complementary and supplementary angles Also consider: • Identify complementary, supplementary, vertical, and adjacent angles
Lesson 1: Complementary and Supplementary Angles
1. Find measures of complementary and supplementary angles Also consider: • Identify complementary, supplementary, vertical, and adjacent angles

Lesson 2-4: Solving for Unknown Angles Using Equations		1. Find measures of complementary, supplementary, vertical, and adjacent angles 2. Write and solve equations using angle relationships
Lesson 2-4: Solving for Unknown Angles Using Equations
1. Find measures of complementary, supplementary, vertical, and adjacent angles 2. Write and solve equations using angle relationships
Topic B - Constructing Triangles
Lesson 5: Identical Triangles		1. Congruence statements and corresponding parts 2. Side lengths and angle measures of congruent figures Also consider: • Similar and congruent figures
Lesson 5: Identical Triangles
1. Congruence statements and corresponding parts 2. Side lengths and angle measures of congruent figures Also consider: • Similar and congruent figures

Lesson 6: Drawing Geometric Shapes
Lesson 6: Drawing Geometric Shapes


Lesson 7: Drawing Parallelograms
Lesson 7: Drawing Parallelograms


Lesson 8: Drawing Triangles
Lesson 8: Drawing Triangles


Lesson 9: Conditions for a Unique Triangle―Three Sides and Two Sides and the Included Angle
Lesson 9: Conditions for a Unique Triangle―Three Sides and Two Sides and the Included Angle


Lesson 10: Conditions for a Unique Triangle—Two Angles and a Given Side
Lesson 10: Conditions for a Unique Triangle—Two Angles and a Given Side


Lesson 11: Conditions on Measurements That Determine a Triangle		1. Triangle inequality 2. Find missing angles in triangles
Lesson 11: Conditions on Measurements That Determine a Triangle
1. Triangle inequality 2. Find missing angles in triangles

Lesson 12: Unique Triangles―Two Sides and a Non-Included Angle
Lesson 12: Unique Triangles―Two Sides and a Non-Included Angle


Lessons 13-14: Checking for Identical Triangles		1. Congruent triangles: SSS, SAS, and ASA
Lessons 13-14: Checking for Identical Triangles
1. Congruent triangles: SSS, SAS, and ASA

Lesson 15: Using Unique Triangles to Solve Real-World and Mathematical Problems
Lesson 15: Using Unique Triangles to Solve Real-World and Mathematical Problems

Topic C - Slicing Solids
Lesson 16: Slicing a Right Rectangular Prism with a Plane
Lesson 16: Slicing a Right Rectangular Prism with a Plane


Lesson 17: Slicing a Right Rectangular Pyramid with a Plane		1. Cross sections of three-dimensional figures
Lesson 17: Slicing a Right Rectangular Pyramid with a Plane
1. Cross sections of three-dimensional figures

Lesson 18: Slicing on an Angle
Lesson 18: Slicing on an Angle


Lesson 19: Understanding Three-Dimensional Figures		1. Front, side, and top view
Lesson 19: Understanding Three-Dimensional Figures
1. Front, side, and top view
Topic D - Problems Involving Area and Surface Area
Lesson 20: Real-World Area Problems		1. Area of compound figures with triangles 2. Area of quadrilaterals and triangles: word problems
Lesson 20: Real-World Area Problems
1. Area of compound figures with triangles 2. Area of quadrilaterals and triangles: word problems

Lesson 21: Mathematical Area Problems
Lesson 21: Mathematical Area Problems


Lesson 22: Area Problems with Circular Regions		1. Area of complex figures involving circles
Lesson 22: Area Problems with Circular Regions
1. Area of complex figures involving circles

Lessons 23-24: Surface Area		1. Surface area of prisms and pyramids Also consider: • Lateral area of prisms and pyramids • Surface area of cubes and prisms
Lessons 23-24: Surface Area
1. Surface area of prisms and pyramids Also consider: • Lateral area of prisms and pyramids • Surface area of cubes and prisms
Topic E - Problems Involving Volume
Lesson 25: Volume of Right Prisms		1. Volume of cubes and prisms
Lesson 25: Volume of Right Prisms
1. Volume of cubes and prisms

Lesson 26: Volume of Composite Three-Dimensional Objects		1. Volume of prisms: advanced
Lesson 26: Volume of Composite Three-Dimensional Objects
1. Volume of prisms: advanced

Lesson 27: Real-World Volume Problems		1. Volume of cubes and rectangular prisms: word problems
Lesson 27: Real-World Volume Problems
1. Volume of cubes and rectangular prisms: word problems

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.