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IXL Skill Alignment Algebra 1 alignment for Illustrative Mathematics Use IXL's interactive skill plan to get up-to-date skill alignments, assign skills to your students, and track progress. www.ixl.com/math/skill-plans/illustrative-mathematics-algebra-1 This document includes the IXL® skill alignments to Illustrative Mathematics's Illustrative Mathematics 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 Illustrative Mathematics 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. Visit IXL.com for more information IXL Learning © 2022

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Page 1: IXL Math Illustrative Mathematics Algebra

IXL Skill Alignment 

Algebra 1 alignment for Illustrative Mathematics

Use IXL's interactive skill plan to get up-to-date skill alignments, assign skillsto your students, and track progress.

www.ixl.com/math/skill-plans/illustrative-mathematics-algebra-1

This document includes the IXL® skill alignments to Illustrative Mathematics's Illustrative Mathematics 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 Illustrative Mathematics 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.

Visit IXL.com for more information IXL Learning © 2022

Page 2: IXL Math Illustrative Mathematics Algebra

 

Unit 1One-variable Statistics Getting to Know You

Distribution Shapes

How to Use Spreadsheets

Textbook section IXL skills

Lesson 1: Getting to Know You 1. Identify statistical questions 6YK

Lesson 2: Data Representations 1. Create histograms WZU

2. Box plots YE9

3. Create line plots N2E

Lesson 3: A Gallery of Data 1. Interpret histograms 2QR

2. Interpret line plots PXN

Textbook section IXL skills

Lesson 4: The Shape of Distributions

Lesson 5: Calculating Measures of Center andVariability

1. Mean, median, mode, and range MHB

2. Calculate quartiles and interquartile range 8H9

3. Mean absolute deviation A5C

Textbook section IXL skills

Lesson 6: Mystery Computations

Lesson 7: Spreadsheet Computations

Lesson 8: Spreadsheet Shortcuts

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Page 3: IXL Math Illustrative Mathematics Algebra

  Manipulating Data

Analyzing Data

Textbook section IXL skills

Lesson 9: Technological Graphing 1. Interpret stem-and-leaf plots EBJ

Lesson 10: The Effect of Extremes

Lesson 11: Comparing and Contrasting DataDistributions

Lesson 12: Standard Deviation

Lesson 13: More Standard Deviation

1. Standard deviation WA2

Lesson 14: Outliers 1. Identify an outlier 87L

2. Identify an outlier and describe the effect ofremoving it XGC

Lesson 15: Comparing Data Sets

Textbook section IXL skills

Lesson 16: Analyzing Data

Checkpoint opportunity 1. Checkpoint: Line plots, histograms, and boxplots UVL

2. Checkpoint: Compare data sets DJA

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Page 4: IXL Math Illustrative Mathematics Algebra

 

Unit 2Linear Equations, Inequalities, and Systems Writing and Modeling with Equations

Manipulating Equations and Understanding Their Structure

Textbook section IXL skills

Lesson 1: Planning a Pizza Party 1. Write variable expressions D7K

2. Write variable expressions: word problems 8UK

Lesson 2: Writing Equations to ModelRelationships (Part 1)

Lesson 3: Writing Equations to ModelRelationships (Part 2)

1. Write variable equations YVW

2. Write linear functions: word problems 9RQ

Also consider• Write and solve equations that represent

diagrams GBC

• Write direct variation equations Y6M

Lesson 4: Equations and Their Solutions 1. Which x satisfies an equation? YTT

2. Does (x, y) satisfy the equation? SFJ

Also consider• Solve two-step linear equations QAK

• Solve one-step and two-step equations: wordproblems UFG

Lesson 5: Equations and Their Graphs 1. Relate the graph of an equation to itssolutions L8U

Also consider• Compare linear functions: graphs and

equations EA8

Textbook section IXL skills

Lesson 6: Equivalent Equations 1. Identify equivalent equations XNQ

Also consider• Identify equivalent linear expressions 62A

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Page 5: IXL Math Illustrative Mathematics Algebra

• Simplify variable expressions usingproperties HHR

• Properties of equality H8Q

Lesson 7: Explaining Steps for Rewriting Equations 1. Solve equations: complete the solution EVP

2. Solve equations with variables on bothsides 7S7

3. Find the number of solutions KBP

Also consider• Solve linear equations: mixed review DN6

• Create equations with no solutions or infinitelymany solutions PUK

Lesson 8: Which Variable to Solve for? (Part 1)

Lesson 9: Which Variable to Solve for? (Part 2)

1. Rearrange multi-variable equations WSJ

Lesson 10: Connecting Equations to Graphs(Part 1)

1. Find the slope of a graph E7D

2. Standard form: graph an equation U6U

Also consider• Find the slope from two points MD5

• Slope-intercept form: graph an equation UWB

• Slope-intercept form: write an equation from aword problem HWM

• Write equations in standard form ESP

Lesson 11: Connecting Equations to Graphs(Part 2)

1. Linear equations: solve for y T5F

2. Standard form: find x- and y-intercepts 8SN

3. Slope-intercept form: find the slope and y-intercept R5T

Also consider• Find a missing coordinate using slope 5C7

• Slope-intercept form: write an equation from agraph 9GW

• Slope-intercept form: write an equation A42

• Slope-intercept form: write an equation from atable SSE

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Page 6: IXL Math Illustrative Mathematics Algebra

  Systems of Linear Equations in Two Variables

Textbook section IXL skills

Lesson 12: Writing and Graphing System of LinearEquations

1. Is (x, y) a solution to the system ofequations? LRL

2. Solve a system of equations by graphing TSS

3. Solve a system of equations by graphing: wordproblems BVB

Also consider• Write a system of equations given a graph R78

Lesson 13: Solving Systems by Substitution 1. Solve a system of equations usingsubstitution 8P9

Also consider• Solve a system of equations using substitution:

word problems US9

Lesson 14: Solving Systems by Elimination (Part 1) 1. Solve a system of equations by adding orsubtracting RMJ

Lesson 15: Solving Systems by Elimination (Part2)

Lesson 16: Solving Systems by Elimination (Part3)

1. Solve a system of equations usingelimination A48

2. Solve a system of equations using elimination:word problems NHR

Also consider• Solve a system of equations using any

method HLV

• Solve a system of equations using any method:word problems GDQ

Lesson 17: Systems of Linear Equations and TheirSolutions

1. Find the number of solutions to a system ofequations by graphing HJW

2. Find the number of solutions to a system ofequations ACN

Also consider• Classify a system of equations by graphing T2D

• Classify a system of equations LTA

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Page 7: IXL Math Illustrative Mathematics Algebra

  Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Textbook section IXL skills

Lesson 18: Representing Situations withInequalities

1. Identify solutions to inequalities 5UE

Also consider• Graph inequalities H68

• Write inequalities from graphs SEK

Lesson 19: Solutions to Inequalities in OneVariable

1. Solve advanced linear inequalities 9K8

2. Graph solutions to advanced linearinequalities 5GC

Also consider• Solve two-step linear inequalities NPZ

• Graph solutions to two-step linearinequalities XVM

• Graph compound inequalities BQX

• Write compound inequalities from graphs 6UV

Lesson 20: Writing and Solving Inequalities in OneVariable

Textbook section IXL skills

Lesson 21: Graphing Linear Inequalities in TwoVariables (Part 1)

Lesson 22: Graphing Linear Inequalities in TwoVariables (Part 2)

1. Does (x, y) satisfy the inequality? N9L

2. Graph a two-variable linear inequality HHP

Also consider• Linear inequalities: solve for y UYU

Lesson 23: Solving Problems with Inequalities inTwo Variables

1. Linear inequalities: word problems ZAY

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Page 8: IXL Math Illustrative Mathematics Algebra

  Systems of Linear Inequalities in Two Variables

Textbook section IXL skills

Lesson 24: Solutions to Systems of LinearInequalities in Two Variables

Lesson 25: Solving Problems with Systems ofLinear Inequalities in Two Variables

Lesson 26: Modeling with Systems ofInequalities in Two Variables

1. Solve systems of linear inequalities bygraphing SGH

Also consider• Is (x, y) a solution to the system of

inequalities? VFC

Checkpoint opportunity 1. Checkpoint: Solve linear equations andinequalities VYL

2. Checkpoint: Systems of equations andinequalities LQW

3. Checkpoint: Represent constraints 2VV

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Page 9: IXL Math Illustrative Mathematics Algebra

 

Unit 3Two-variable Statistics Two-way Tables

Scatter Plots

Textbook section IXL skills

Lesson 1: Two-way Tables

Lesson 2: Relative Frequency Tables 1. Find probabilities using two-way frequencytables 93R

2. Find conditional probabilities using two-wayfrequency tables BZZ

Lesson 3: Associations in Categorical Data

Textbook section IXL skills

Lesson 4: Linear Models 1. Write equations for lines of best fit Y2S

• Coming soon: Interpret lines of best fit: wordproblems

Also consider• Interpret a scatter plot 8BS

• Outliers in scatter plots EG5

Lesson 5: Fitting Lines 1. Analyze a regression line of a data set 8D8

Also consider• Find the equation of a regression line WJC

• Interpret regression lines SEQ

Lesson 6: Residuals • Coming soon: Calculate and plot residuals

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Page 10: IXL Math Illustrative Mathematics Algebra

  Correlation Coefficients

Estimating Lengths

Textbook section IXL skills

Lesson 7: The Correlation Coefficient 1. Match correlation coefficients to scatterplots FQ7

Lesson 8: Using the Correlation Coefficient 1. Calculate correlation coefficients E8T

Lesson 9: Causal Relationships 1. Correlation and causation KPG

Textbook section IXL skills

Lesson 10: Fossils and Flags

Checkpoint opportunity 1. Checkpoint: Two-way frequency tables 5GL

2. Checkpoint: Linear modeling U7N

3. Checkpoint: Units and quantities CBX

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Page 11: IXL Math Illustrative Mathematics Algebra

 

Unit 4Functions Functions and Their Representations

Analyzing and Creating Graphs of Functions

Textbook section IXL skills

Lesson 1: Describing and Graphing Situations 1. Identify independent and dependentvariables N55

2. Identify functions: lists, tables, or discretegraphs XVU

Also consider• Identify functions: vertical line test HLX

Lesson 2: Function Notation 1. Interpret functions using everydaylanguage U98

Also consider• Evaluate a function JFB

Lesson 3: Interpreting & Using Function Notation 1. Interpret the graph of a function: wordproblems STU

Lesson 4: Using Function Notation to DescribeRules (Part 1)

1. Complete a function table from an equation Z73

2. Complete a table and graph a linearfunction JFG

Also consider• Complete a function table from a graph HXF

Lesson 5: Using Function Notation to DescribeRules (Part 2)

1. Find values using function graphs TJM

Textbook section IXL skills

Lesson 6: Features of Graphs

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Page 12: IXL Math Illustrative Mathematics Algebra

A Closer Look at Inputs and Outputs

Lesson 7: Using Graphs to Find Average Rate ofChange

1. Rate of change: graphs BNH

• Coming soon: Estimate rate of change from agraph

Lesson 8: Interpreting and Creating Graphs 1. Interpret the slope and y-intercept of a linearfunction RPQ

• Coming soon: Identify graphs: word problems

Lesson 9: Comparing Graphs 1. Compare linear functions: tables, graphs, andequations GD7

• Coming soon: Compare linear functions: wordproblems

Textbook section IXL skills

Lesson 10: Domain and Range (Part 1)

Lesson 11: Domain and Range (Part 2) 1. Domain and range of relations 2CG

Also consider• Domain and range of exponential functions:

graphs ANC

• Domain and range of absolute value functions:graphs NV7

• Domain and range of square root functions:graphs UXG

Lesson 12: Piecewise Functions 1. Graph piecewise-defined functions 86G

Also consider• Evaluate piecewise-defined functions 86S

Lesson 13: Absolute Value Functions (Part 1)

Lesson 14: Absolute Value Functions (Part 2)

1. Graph an absolute value function TD2

2. Transformations of absolute value functions:translations and reflections 9TC

Also consider• Complete a function table: absolute value

functions 2DH

• Domain and range of absolute value functions:equations FCY

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Page 13: IXL Math Illustrative Mathematics Algebra

  Inverse Functions

Putting it All Together

Textbook section IXL skills

Lesson 15: Inverse Functions

Lesson 16: Finding and Interpreting InverseFunctions

Lesson 17: Writing Inverse Functions to SolveProblems

1. Find the inverse of a function VME

Textbook section IXL skills

Lesson 18: Using Functions to Model BatteryPower

Checkpoint opportunity Unit 41. Checkpoint: Function concepts HWA

Units 1–42. Checkpoint: Average rate of change T79

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Page 14: IXL Math Illustrative Mathematics Algebra

 

Unit 5Introduction to Exponential Functions Looking at Growth

A New Kind of Relationship

Textbook section IXL skills

Lesson 1: Growing and Growing

Lesson 2: Patterns of Growth

1. Number sequences 9CK

Also consider• Exponents with integer bases EJ8

Textbook section IXL skills

Lesson 3: Representing Exponential Growth 1. Graph increasing exponential functions TWX

2. Exponential growth: word problems V84

Also consider• Multiplication with exponents HQD

• Evaluate expressions using properties ofexponents LRR

Lesson 4: Understanding Decay

Lesson 5: Representing Exponential Decay

1. Graph decreasing exponential functions BM7

2. Exponential decay: word problems 5CH

Also consider• Write variable expressions for arithmetic and

geometric sequences NDN

• Evaluate an exponential function D6H

Lesson 6: Analyzing Graphs 1. Identify linear and exponential functions fromgraphs UEC

Lesson 7: Using Negative Exponents 1. Negative exponents SCM

Also consider• Division with exponents 9SS

• Identify equivalent expressions involvingexponents I EUF

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Page 15: IXL Math Illustrative Mathematics Algebra

  Exponential Functions

Percent Growth and Decay

Textbook section IXL skills

Lesson 8: Exponential Situations as Functions

Lesson 9: Interpreting Exponential Functions

1. Write linear and exponential functions fromtables JGJ

Lesson 10: Looking at Rates of Change 1. Rate of change: tables PLA

Lesson 11: Modeling Exponential Behavior • Coming soon: Write linear and exponentialmodels: word problems

Lesson 12: Reasoning about ExponentialGraphs (Part 1)

Lesson 13: Reasoning about ExponentialGraphs (Part 2)

1. Match exponential functions and graphs 72J

Also consider• Domain and range of exponential functions:

equations DZE

Textbook section IXL skills

Lesson 14: Recalling Percent Change 1. Percent of change: find the original amount wordproblems 7UW

2. Percent of a number: tax, discount, andmore SKZ

Also consider• Percent word problems BLW

• Find the percent: tax, discount, and more VQX

Lesson 15: Functions Involving Percent Change 1. Multi-step problems with percents HBJ

Also consider• Simple interest Q8G

Lesson 16: Compounding Interest

Lesson 17: Different Compounding Intervals

1. Compound interest: word problems QSF

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Page 16: IXL Math Illustrative Mathematics Algebra

Comparing Linear and Exponential Functions

Putting it All Together

Lesson 18: Expressed in Different Ways 1. Percent of change: word problems 59V

Also consider• Percent of change GRG

• Power rule RWY

Textbook section IXL skills

Lesson 19: Which One Changes Faster?

Lesson 20: Changes over Equal Intervals

1. Write linear and exponential functions: wordproblems T84

2. Describe linear and exponential growth anddecay S7T

3. Identify linear and exponential functions fromtables LZF

4. Compare linear and exponential growth YSZ

Also consider• Linear functions over unit intervals L5P

• Exponential functions over unit intervals S7D

Textbook section IXL skills

Lesson 21: Predicting Populations

Checkpoint opportunity 1. Checkpoint: Compare linear and exponentialfunctions KSL

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Page 17: IXL Math Illustrative Mathematics Algebra

 

Unit 6Introduction to Quadratic Functions A Different Kind of Change

Quadratic Functions

Textbook section IXL skills

Lesson 1: A Different Kind of Change

Lesson 2: How Does it Change?

1. Identify linear, quadratic, and exponentialfunctions from tables SP5

2. Identify linear, quadratic, and exponentialfunctions from graphs DHB

Textbook section IXL skills

Lesson 3: Building Quadratic Functions fromGeometric Patterns

Lesson 4: Comparing Quadratic and ExponentialFunctions

1. Compare linear, exponential, and quadraticgrowth 39V

Also consider• Write linear, quadratic, and exponential

functions from tables AFA

Lesson 5: Building Quadratic Functions toDescribe Situations (Part 1)

Lesson 6: Building Quadratic Functions toDescribe Situations (Part 2)

Lesson 7: Building Quadratic Functions toDescribe Situations (Part 3)

• Coming soon: Interpret parts of quadraticexpressions: word problems

Also consider• Complete a function table: quadratic

functions LFV

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Page 18: IXL Math Illustrative Mathematics Algebra

  Working with Quadratic Expressions

Features of Graphs of Quadratic Functions

Textbook section IXL skills

Lesson 8: Equivalent Quadratic Expressions 1. Multiply polynomials using area models H8B

2. Multiply two binomials M7Q

Also consider• Multiply using the distributive property KWG

• Multiply two binomials using algebra tiles WR5

Lesson 9: Standard Form and Factored Form

Lesson 10: Graphs of Functions in Standard andFactored Forms

1. Use zeros to match quadratic functions andgraphs WSX

Also consider• Characteristics of quadratic functions:

equations YJZ

• Write a quadratic function from its zeros N2S

• Multiply two binomials: special cases 9JN

Textbook section IXL skills

Lesson 11: Graphing from the Factored Form

Lesson 12: Graphing the Standard Form (Part 1)

Lesson 13: Graphing the Standard Form (Part 2)

1. Match quadratic functions and graphs AU8

Also consider• Characteristics of quadratic functions:

graphs HW8

Lesson 14: Graphs That Represent Situations

Lesson 15: Vertex Form

Lesson 16: Graphing from the Vertex Form

Lesson 17: Changing the Vertex

1. Graph quadratic functions in vertex form C7T

2. Transformations of quadratic functions 6YS

Also consider• Graph quadratic functions in standard

form HMW

Checkpoint opportunity 1. Checkpoint: Function transformations QKX

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Page 19: IXL Math Illustrative Mathematics Algebra

 

Unit 7Quadratic Equations Finding Unknown Inputs

Solving Quadratic Equations

Textbook section IXL skills

Lesson 1: Finding Unknown Inputs

Lesson 2: When and Why Do We WriteQuadratic Equations?

Textbook section IXL skills

Lesson 3: Solving Quadratic Equations byReasoning

1. Solve a quadratic equation using squareroots ERF

Lesson 4: Solving Quadratic Equations with theZero Product Property

1. Solve a quadratic equation using the zeroproduct property TNM

Lesson 5: How Many Solutions?

Lesson 6: Rewriting Quadratic Expressions inFactored Form (Part 1)

Lesson 7: Rewriting Quadratic Expressions inFactored Form (Part 2)

1. Factor quadratics with leading coefficient 1 S9P

Also consider• Factor quadratics using algebra tiles Y6U

Lesson 8: Rewriting Quadratic Expressions inFactored Form (Part 3)

1. Factor quadratics: special cases 56E

Lesson 9: Solving Quadratic Equations by UsingFactored Form

1. Solve quadratic equations by factoring: leadingcoefficient 1 J2X

Lesson 10: Rewriting Quadratic Expressions inFactored Form (Part 4)

1. Solve quadratic equations by factoring: otherleading coefficients 2QD

2. Factor quadratics with other leadingcoefficients 7ED

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Page 20: IXL Math Illustrative Mathematics Algebra

Completing the Square

The Quadratic Formula

Also consider• Factor using a quadratic pattern ADW

• Solve quadratic equations by factoring:differences of squares WXJ

• Factor by grouping HAA

Textbook section IXL skills

Lesson 11: What are Perfect Squares? 1. Factor quadratics: perfect squares 56C

2. Solve quadratic equations by factoring: perfectsquares Q5E

Lesson 12: Completing the Square (Part 1)

Lesson 13: Completing the Square (Part 2)

1. Complete the square RD2

2. Solve a quadratic equation by completing thesquare: leading coefficient 1 WZE

Lesson 14: Completing the Square (Part 3) 1. Solve a quadratic equation by completing thesquare: other leading coefficients C7E

Lesson 15: Quadratic Equations with IrrationalSolutions

Textbook section IXL skills

Lesson 16: The Quadratic Formula 1. Solve a quadratic equation using the quadraticformula XCF

Lesson 17: Applying the Quadratic Formula(Part 1)

Lesson 18: Applying the Quadratic Formula(Part 2)

• Coming soon: Solve quadratic equations: wordproblems

Also consider• Using the discriminant SMF

Lesson 19: Deriving the Quadratic Formula

Lesson 20: Rational and Irrational Solutions

Lesson 21: Sums and Products of Rational andIrrational Numbers

1. Identify rational and irrational square roots SNP

2. Properties of operations on rational andirrational numbers C7S

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Page 21: IXL Math Illustrative Mathematics Algebra

Vertex Form Revisited

Putting it All Together

Also consider• Sort rational and irrational numbers ALH

• Classify rational and irrational numbers 3S8

Textbook section IXL skills

Lesson 22: Rewriting Quadratic Expressions inVertex Form

1. Write a quadratic function in vertex form W2Q

Also consider• Write a quadratic function from its vertex and

another point YGV

• Domain and range of quadratic functions:equations 4J7

Lesson 23: Using Quadratic Expressions in VertexForm to Solve Problems

Textbook section IXL skills

Lesson 24: Using Quadratic Equations to ModelSituations and Solve Problems

1. Solve a system of linear and quadratic equationsby graphing 9EE

Checkpoint opportunity Unit 71. Checkpoint: Quadratic equations NXG

Units 1–72. Checkpoint: Polynomial operations 2B7

3. Checkpoint: Problem solving with equations andinequalities QZQ

4. Checkpoint: Solve equations using graphs andtables DV9

5. Checkpoint: Write and interpret equivalentexpressions YJJ

6. Checkpoint: Features of functions N7U

7. Checkpoint: Graph and analyze functions ZKZ

8. Checkpoint: Build functions CP9

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