IXL skill plan | Algebra 2 plan for HMH AGA

Skill plan for HMH AGA - Algebra 2

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

Unit

Print skill plan

1	Unit 1 Functions
Module 1 - Analyzing Functions
Lesson 1.1: Domain, Range, and End Behavior		1. Interval notation 2. Domain and range of quadratic functions: graphs 3. Domain and range of linear functions: word problems Also consider: • Set-builder notation • Domain and range
Lesson 1.1: Domain, Range, and End Behavior
1. Interval notation 2. Domain and range of quadratic functions: graphs 3. Domain and range of linear functions: word problems Also consider: • Set-builder notation • Domain and range

Lesson 1.2: Characteristics of Function Graphs		1. Average rate of change 2. Analyze a regression line of a data set 3. Identify graphs: word problems
Lesson 1.2: Characteristics of Function Graphs
1. Average rate of change 2. Analyze a regression line of a data set 3. Identify graphs: word problems

Lesson 1.3: Transformations of Function Graphs		1. Function transformation rules 2. Describe function transformations 3. Even and odd functions Also consider: • Transformations of functions • Write a quadratic function in vertex form from its vertex and another point
Lesson 1.3: Transformations of Function Graphs
1. Function transformation rules 2. Describe function transformations 3. Even and odd functions Also consider: • Transformations of functions • Write a quadratic function in vertex form from its vertex and another point

Lesson 1.4: Inverses of Functions		1. Find values of inverse functions from tables 2. Find the inverse of a linear function 3. Inverses of linear functions Also consider: • Identify invertible functions: horizontal line test • Find values of inverse functions from graphs • Composition of linear functions: find an equation
Lesson 1.4: Inverses of Functions
1. Find values of inverse functions from tables 2. Find the inverse of a linear function 3. Inverses of linear functions Also consider: • Identify invertible functions: horizontal line test • Find values of inverse functions from graphs • Composition of linear functions: find an equation
Module 2 - Absolute Value Functions, Equations, and Inequalities
Lesson 2.1: Graphing Absolute Value Functions		1. Graph an absolute value function 2. Transformations of absolute value functions Also consider: • Domain and range of absolute value functions: equations • Domain and range of absolute value functions: graphs
Lesson 2.1: Graphing Absolute Value Functions
1. Graph an absolute value function 2. Transformations of absolute value functions Also consider: • Domain and range of absolute value functions: equations • Domain and range of absolute value functions: graphs

Lesson 2.2: Solving Absolute Value Equations		1. Solve absolute value equations 2. Graph solutions to absolute value equations
Lesson 2.2: Solving Absolute Value Equations
1. Solve absolute value equations 2. Graph solutions to absolute value equations

Lesson 2.3: Solving Absolute Value Inequalities		1. Solve absolute value inequalities 2. Graph solutions to absolute value inequalities
Lesson 2.3: Solving Absolute Value Inequalities
1. Solve absolute value inequalities 2. Graph solutions to absolute value inequalities

2	Unit 2 Quadratic Functions, Equations, and Relations
Module 3 - Quadratic Equations
Lesson 3.1: Solving Quadratic Equations by Taking Square Roots		1. Solve a quadratic equation using square roots: real roots 2. Introduction to complex numbers 3. Solve a quadratic equation using square roots Also consider: • Solve a quadratic equation using the zero product property • Solve a quadratic equation by factoring
Lesson 3.1: Solving Quadratic Equations by Taking Square Roots
1. Solve a quadratic equation using square roots: real roots 2. Introduction to complex numbers 3. Solve a quadratic equation using square roots Also consider: • Solve a quadratic equation using the zero product property • Solve a quadratic equation by factoring

Lesson 3.2: Complex Numbers		1. Add and subtract complex numbers 2. Multiply complex numbers
Lesson 3.2: Complex Numbers
1. Add and subtract complex numbers 2. Multiply complex numbers

Lesson 3.3: Finding Complex Solutions of Quadratic Equations		1. Solve a quadratic equation by completing the square 2. Using the discriminant 3. Solve a quadratic equation using the quadratic formula 4. Solve quadratic equations: word problems Also consider: • Complete the square • Graph a quadratic function
Lesson 3.3: Finding Complex Solutions of Quadratic Equations
1. Solve a quadratic equation by completing the square 2. Using the discriminant 3. Solve a quadratic equation using the quadratic formula 4. Solve quadratic equations: word problems Also consider: • Complete the square • Graph a quadratic function
Module 4 - Quadratic Relations and Systems of Equations
Lesson 4.1: Circles		1. Write equations of circles in standard form from graphs 2. Write equations of circles in standard form using properties 3. Convert equations of circles from general to standard form 4. Graph circles 5. Find properties of circles from equations in general form
Lesson 4.1: Circles
1. Write equations of circles in standard form from graphs 2. Write equations of circles in standard form using properties 3. Convert equations of circles from general to standard form 4. Graph circles 5. Find properties of circles from equations in general form

Lesson 4.2: Parabolas		1. Write equations of parabolas in vertex form from graphs 2. Write equations of parabolas in vertex form using properties 3. Convert equations of parabolas from general to vertex form 4. Graph parabolas 5. Find properties of a parabola from equations in general form Also consider: • Identify the direction a parabola opens • Find the focus or directrix of a parabola
Lesson 4.2: Parabolas
1. Write equations of parabolas in vertex form from graphs 2. Write equations of parabolas in vertex form using properties 3. Convert equations of parabolas from general to vertex form 4. Graph parabolas 5. Find properties of a parabola from equations in general form Also consider: • Identify the direction a parabola opens • Find the focus or directrix of a parabola

Lesson 4.3: Solving Linear-Quadratic Systems		1. Solve a system of linear and quadratic equations by graphing: parabolas 2. Solve a system of linear and quadratic equations: parabolas Also consider: • Solve a system of linear and quadratic equations: circles • Solve a nonlinear system of equations
Lesson 4.3: Solving Linear-Quadratic Systems
1. Solve a system of linear and quadratic equations by graphing: parabolas 2. Solve a system of linear and quadratic equations: parabolas Also consider: • Solve a system of linear and quadratic equations: circles • Solve a nonlinear system of equations

Lesson 4.4: Solving Linear Systems in Three Variables		1. Solve a system of equations in three variables using substitution 2. Solve a system of equations in three variables using elimination 3. Solve a system of equations using augmented matrices 4. Solve a system of equations using augmented matrices: word problems
Lesson 4.4: Solving Linear Systems in Three Variables
1. Solve a system of equations in three variables using substitution 2. Solve a system of equations in three variables using elimination 3. Solve a system of equations using augmented matrices 4. Solve a system of equations using augmented matrices: word problems

3	Unit 3 Polynomial Functions, Expressions, and Equations
Module 5 - Polynomial Functions
Lesson 5.1: Graphing Cubic Functions		1. Match quadratic and cubic functions with their graphs
Lesson 5.1: Graphing Cubic Functions
1. Match quadratic and cubic functions with their graphs

Lesson 5.2: Graphing Polynomial Functions		1. Match polynomials and graphs 2. Domain and range of polynomials Also consider: • Match polynomials and graphs using end behavior • Match polynomials and graphs using zeros
Lesson 5.2: Graphing Polynomial Functions
1. Match polynomials and graphs 2. Domain and range of polynomials Also consider: • Match polynomials and graphs using end behavior • Match polynomials and graphs using zeros
Module 6 - Polynomials
Lesson 6.1: Adding and Subtracting Polynomials		1. Polynomial vocabulary 2. Add and subtract polynomials 3. Add polynomials to find perimeter
Lesson 6.1: Adding and Subtracting Polynomials
1. Polynomial vocabulary 2. Add and subtract polynomials 3. Add polynomials to find perimeter

Lesson 6.2: Multiplying Polynomials		1. Multiply polynomials 2. Multiply polynomials to find area Also consider: • Multiply polynomials using area models
Lesson 6.2: Multiplying Polynomials
1. Multiply polynomials 2. Multiply polynomials to find area Also consider: • Multiply polynomials using area models

Lesson 6.3: The Binomial Theorem		1. Pascal's triangle 2. Expand binomials using Pascal's triangle Also consider: • Binomial Theorem I
Lesson 6.3: The Binomial Theorem
1. Pascal's triangle 2. Expand binomials using Pascal's triangle Also consider: • Binomial Theorem I

Lesson 6.4: Factoring Polynomials		1. Factor polynomials using identities 2. Factor by grouping 3. Factor polynomials Also consider: • Factor out a monomial
Lesson 6.4: Factoring Polynomials
1. Factor polynomials using identities 2. Factor by grouping 3. Factor polynomials Also consider: • Factor out a monomial

Lesson 6.5: Dividing Polynomials		1. Divide polynomials using long division 2. Divide polynomials using synthetic division 3. Evaluate polynomials using synthetic division Also consider: • Add, subtract, multiply, and divide polynomials
Lesson 6.5: Dividing Polynomials
1. Divide polynomials using long division 2. Divide polynomials using synthetic division 3. Evaluate polynomials using synthetic division Also consider: • Add, subtract, multiply, and divide polynomials
Module 7 - Polynomial Equations
Lesson 7.1: Finding Rational Solutions of Polynomial Equations		1. Find the roots of factored polynomials 2. Rational root theorem
Lesson 7.1: Finding Rational Solutions of Polynomial Equations
1. Find the roots of factored polynomials 2. Rational root theorem

Lesson 7.2: Finding Complex Solution of Polynomial Equations		1. Solve polynomial equations 2. Write a polynomial from its roots 3. Fundamental Theorem of Algebra Also consider: • Conjugate root theorems
Lesson 7.2: Finding Complex Solution of Polynomial Equations
1. Solve polynomial equations 2. Write a polynomial from its roots 3. Fundamental Theorem of Algebra Also consider: • Conjugate root theorems

4	Unit 4 Rational Functions, Expressions, and Equations
Module 8 - Rational Functions
Lesson 8.1: Graphing Simple Rational Functions		1. Rational functions: identify asymptotes from graphs Also consider: • Evaluate rational expressions I • Evaluate rational expressions II
Lesson 8.1: Graphing Simple Rational Functions
1. Rational functions: identify asymptotes from graphs Also consider: • Evaluate rational expressions I • Evaluate rational expressions II

Lesson 8.2: Graphing More Complicated Rational Functions		1. Rational functions: identify asymptotes from equations
Lesson 8.2: Graphing More Complicated Rational Functions
1. Rational functions: identify asymptotes from equations
Module 9 - Rational Expressions and Equations
Lesson 9.1: Adding and Subtracting Rational Expressions		1. Simplify rational expressions 2. Add and subtract rational expressions Also consider: • Rational functions: asymptotes and excluded values
Lesson 9.1: Adding and Subtracting Rational Expressions
1. Simplify rational expressions 2. Add and subtract rational expressions Also consider: • Rational functions: asymptotes and excluded values

Lesson 9.2: Multiplying and Dividing Rational Expressions		1. Multiply and divide rational expressions Also consider: • Properties of operations on rational and irrational numbers
Lesson 9.2: Multiplying and Dividing Rational Expressions
1. Multiply and divide rational expressions Also consider: • Properties of operations on rational and irrational numbers

Lesson 9.3: Solving Rational Equations		1. Solve rational equations
Lesson 9.3: Solving Rational Equations
1. Solve rational equations

5	Unit 5 Radical Functions, Expressions, and Equations
Module 10 - Radical Functions
Lesson 10.1: Inverses of Simple Quadratic and Cubic Functions		1. Identify inverse functions 2. Find the inverse of a cubic function Also consider: • Find the inverse of a quadratic function
Lesson 10.1: Inverses of Simple Quadratic and Cubic Functions
1. Identify inverse functions 2. Find the inverse of a cubic function Also consider: • Find the inverse of a quadratic function

Lesson 10.2: Graphing Square Root Functions		1. Domain and range of radical functions 2. Graph square root functions
Lesson 10.2: Graphing Square Root Functions
1. Domain and range of radical functions 2. Graph square root functions

Lesson 10.3: Graphing Cube Root Functions		1. Graph cube root functions
Lesson 10.3: Graphing Cube Root Functions
1. Graph cube root functions
Module 11 - Radical Expressions and Equations
Lesson 11.1: Radical Expressions and Rational Exponents		1. Convert between rational exponents and radicals 2. Evaluate rational exponents
Lesson 11.1: Radical Expressions and Rational Exponents
1. Convert between rational exponents and radicals 2. Evaluate rational exponents

Lesson 11.2: Simplifying Radical Expressions		1. Simplify expressions involving rational exponents II 2. Simplify radical expressions with variables 3. Multiply radical expressions 4. Simplify radical expressions involving fractions Also consider: • Simplify expressions involving rational exponents I
Lesson 11.2: Simplifying Radical Expressions
1. Simplify expressions involving rational exponents II 2. Simplify radical expressions with variables 3. Multiply radical expressions 4. Simplify radical expressions involving fractions Also consider: • Simplify expressions involving rational exponents I

Lesson 11.3: Solving Radical Equations		1. Solve radical equations 2. Solve equations with rational exponents
Lesson 11.3: Solving Radical Equations
1. Solve radical equations 2. Solve equations with rational exponents

6	Unit 6 Exponential and Logarithmic Functions and Equations
Module 12 - Sequences and Series
Lesson 12.1: Arithmetic Sequences		1. Find terms of an arithmetic sequence 2. Write a formula for an arithmetic sequence 3. Convert between explicit and recursive formulas for arithmetic sequences
Lesson 12.1: Arithmetic Sequences
1. Find terms of an arithmetic sequence 2. Write a formula for an arithmetic sequence 3. Convert between explicit and recursive formulas for arithmetic sequences

Lesson 12.2: Geometric Sequences		1. Write a formula for a geometric sequence 2. Convert between explicit and recursive formulas for geometric sequences Also consider: • Find terms of a geometric sequence • Classify formulas and sequences • Sequences: mixed review
Lesson 12.2: Geometric Sequences
1. Write a formula for a geometric sequence 2. Convert between explicit and recursive formulas for geometric sequences Also consider: • Find terms of a geometric sequence • Classify formulas and sequences • Sequences: mixed review

Lesson 12.3: Geometric Series		1. Find the sum of a finite geometric series Also consider: • Introduction to partial sums • Partial sums of geometric series
Lesson 12.3: Geometric Series
1. Find the sum of a finite geometric series Also consider: • Introduction to partial sums • Partial sums of geometric series
Module 13 - Exponential Functions
Lesson 13.1: Exponential Growth Functions Lesson 13.2: Exponential Decay Functions		1. Graph exponential functions 2. Match exponential functions and graphs 3. Write exponential functions: word problems Also consider: • Evaluate exponential functions • Exponential growth and decay: word problems
Lesson 13.1: Exponential Growth Functions Lesson 13.2: Exponential Decay Functions
1. Graph exponential functions 2. Match exponential functions and graphs 3. Write exponential functions: word problems Also consider: • Evaluate exponential functions • Exponential growth and decay: word problems

Lesson 13.3: The Base e		1. Domain and range of exponential functions: all bases
Lesson 13.3: The Base e
1. Domain and range of exponential functions: all bases

Lesson 13.4: Compound Interest		1. Continuously compounded interest: find the balance or principal
Lesson 13.4: Compound Interest
1. Continuously compounded interest: find the balance or principal
Module 14 - Modeling with Exponential and Other Functions
Lesson 14.1: Fitting Exponential Functions to Data		1. Identify linear, quadratic, and exponential functions from tables 2. Exponential regression Also consider: • Write exponential functions from tables and graphs
Lesson 14.1: Fitting Exponential Functions to Data
1. Identify linear, quadratic, and exponential functions from tables 2. Exponential regression Also consider: • Write exponential functions from tables and graphs

Lesson 14.2: Choosing Among Linear, Quadratic, and Exponential Models		1. Identify linear, quadratic, and exponential functions from graphs Also consider: • Compare linear and exponential growth
Lesson 14.2: Choosing Among Linear, Quadratic, and Exponential Models
1. Identify linear, quadratic, and exponential functions from graphs Also consider: • Compare linear and exponential growth
Module 15 - Logarithmic Functions
Lesson 15.1: Defining and Evaluating a Logarithmic Function		1. Convert between exponential and logarithmic form: all bases 2. Evaluate logarithms 3. Evaluate logarithms using a calculator Also consider: • Convert between exponential and logarithmic form: rational bases • Evaluate natural logarithms
Lesson 15.1: Defining and Evaluating a Logarithmic Function
1. Convert between exponential and logarithmic form: all bases 2. Evaluate logarithms 3. Evaluate logarithms using a calculator Also consider: • Convert between exponential and logarithmic form: rational bases • Evaluate natural logarithms

Lesson 15.2: Graphing Logarithmic Functions		1. Domain and range of logarithmic functions 2. Graph logarithmic functions
Lesson 15.2: Graphing Logarithmic Functions
1. Domain and range of logarithmic functions 2. Graph logarithmic functions
Module 16 - Logarithmic Properties and Exponential Equations
Lesson 16.1: Properties of Logarithms		1. Identify properties of logarithms 2. Properties of logarithms: mixed review 3. Evaluate logarithms using properties Also consider: • Product property of logarithms • Quotient property of logarithms • Power property of logarithms • Change of base formula
Lesson 16.1: Properties of Logarithms
1. Identify properties of logarithms 2. Properties of logarithms: mixed review 3. Evaluate logarithms using properties Also consider: • Product property of logarithms • Quotient property of logarithms • Power property of logarithms • Change of base formula

Lesson 16.2: Solving Exponential Equations		1. Solve exponential equations using common logarithms 2. Solve exponential equations using natural logarithms 3. Compound interest: word problems 4. Continuously compounded interest: word problems Also consider: • Solve exponential equations by rewriting the base
Lesson 16.2: Solving Exponential Equations
1. Solve exponential equations using common logarithms 2. Solve exponential equations using natural logarithms 3. Compound interest: word problems 4. Continuously compounded interest: word problems Also consider: • Solve exponential equations by rewriting the base

7	Unit 7 Trigonometric Functions
Module 17 - Unit-Circle Definition of Trigonometric Functions
Lesson 17.1: Angles of Rotation and Radian Measure		1. Convert between radians and degrees 2. Coterminal angles 3. Radians and arc length
Lesson 17.1: Angles of Rotation and Radian Measure
1. Convert between radians and degrees 2. Coterminal angles 3. Radians and arc length

Lesson 17.2: Defining and Evaluating the Basic Trigonometric Functions		1. Sin, cos, and tan of special angles 2. Find trigonometric ratios using the unit circle: sin, cos, and tan Also consider: • Special right triangles • Trigonometric ratios: sin, cos, and tan
Lesson 17.2: Defining and Evaluating the Basic Trigonometric Functions
1. Sin, cos, and tan of special angles 2. Find trigonometric ratios using the unit circle: sin, cos, and tan Also consider: • Special right triangles • Trigonometric ratios: sin, cos, and tan

Lesson 17.3: Using a Pythagorean Identity		1. Pythagorean identities: sine and cosine
Lesson 17.3: Using a Pythagorean Identity
1. Pythagorean identities: sine and cosine
Module 18 - Graphing Trigonometric Functions
Lesson 18.1: Stretching, Compressing, and Reflecting Sine and Cosine Graphs		1. Graph sine and cosine functions 2. Write equations of basic sine and cosine functions from graphs 3. Determine the period and amplitude of a periodic function
Lesson 18.1: Stretching, Compressing, and Reflecting Sine and Cosine Graphs
1. Graph sine and cosine functions 2. Write equations of basic sine and cosine functions from graphs 3. Determine the period and amplitude of a periodic function

Lesson 18.2: Stretching, Compressing, and Reflecting Tangent Graphs		1. Csc, sec, and cot of special angles 2. Find trigonometric ratios using reference angles
Lesson 18.2: Stretching, Compressing, and Reflecting Tangent Graphs
1. Csc, sec, and cot of special angles 2. Find trigonometric ratios using reference angles

Lesson 18.3: Translating Trigonometric Graphs		1. Graph translations of sine and cosine functions 2. Write equations of sine and cosine functions from graphs
Lesson 18.3: Translating Trigonometric Graphs
1. Graph translations of sine and cosine functions 2. Write equations of sine and cosine functions from graphs

Lesson 18.4: Fitting Sine Functions to Data		1. Write equations of sine and cosine functions using properties
Lesson 18.4: Fitting Sine Functions to Data
1. Write equations of sine and cosine functions using properties

8	Unit 8 Probability
Module 19 - Introduction to Probability
Lesson 19.1: Probability and Set Theory		1. Unions and intersections of sets 2. Probability of simple events and opposite events 3. Theoretical probability Also consider: • Experimental probability
Lesson 19.1: Probability and Set Theory
1. Unions and intersections of sets 2. Probability of simple events and opposite events 3. Theoretical probability Also consider: • Experimental probability

Lesson 19.2: Permutations and Probability		1. Counting principle 2. Permutations
Lesson 19.2: Permutations and Probability
1. Counting principle 2. Permutations

Lesson 19.3: Combinations and Probability		1. Combinations and permutations 2. Find probabilities using combinations and permutations
Lesson 19.3: Combinations and Probability
1. Combinations and permutations 2. Find probabilities using combinations and permutations

Lesson 19.4: Mutually Exclusive and Overlapping Events		1. Probability of mutually exclusive events and overlapping events 2. Find probabilities using two-way frequency tables 3. Find probabilities using the addition rule
Lesson 19.4: Mutually Exclusive and Overlapping Events
1. Probability of mutually exclusive events and overlapping events 2. Find probabilities using two-way frequency tables 3. Find probabilities using the addition rule
Module 20 - Conditional Probability and Independence of Events
Lesson 20.1: Conditional Probability		1. Find conditional probabilities using two-way frequency tables 2. Find conditional probabilities
Lesson 20.1: Conditional Probability
1. Find conditional probabilities using two-way frequency tables 2. Find conditional probabilities

Lesson 20.2: Independent Events		1. Identify independent events 2. Independence and conditional probability
Lesson 20.2: Independent Events
1. Identify independent events 2. Independence and conditional probability

Lesson 20.3: Dependent Events		1. Probability of independent and dependent events
Lesson 20.3: Dependent Events
1. Probability of independent and dependent events
Module 21 - Probability and Decision Making
Lesson 21.1: Using Probability to Make Fair Decisions		1. Write the probability distribution for a game of chance
Lesson 21.1: Using Probability to Make Fair Decisions
1. Write the probability distribution for a game of chance

Lesson 21.2: Analyzing Decisions
Lesson 21.2: Analyzing Decisions

9	Unit 9 Statistics
Module 22 - Gathering and Displaying Data
Lesson 22.1: Data-Gathering Techniques		1. Identify representative, random, and biased samples Also consider: • Identify biased samples
Lesson 22.1: Data-Gathering Techniques
1. Identify representative, random, and biased samples Also consider: • Identify biased samples

Lesson 22.2: Shape, Center, and Spread		1. Standard deviation of random variables
Lesson 22.2: Shape, Center, and Spread
1. Standard deviation of random variables
Module 23 - Data Distributions
Lesson 23.1: Probability Distributions		1. Graph a discrete probability distribution 2. Find probabilities using the binomial distribution Also consider: • Identify discrete and continuous random variables • Write a discrete probability distribution
Lesson 23.1: Probability Distributions
1. Graph a discrete probability distribution 2. Find probabilities using the binomial distribution Also consider: • Identify discrete and continuous random variables • Write a discrete probability distribution

Lesson 23.2: Normal Distributions		1. Find probabilities using the normal distribution I 2. Find probabilities using the normal distribution II 3. Find z-values
Lesson 23.2: Normal Distributions
1. Find probabilities using the normal distribution I 2. Find probabilities using the normal distribution II 3. Find z-values

Lesson 23.3: Sampling Distributions		1. Distributions of sample means 2. The Central Limit Theorem
Lesson 23.3: Sampling Distributions
1. Distributions of sample means 2. The Central Limit Theorem
Module 24 - Making Inferences from Data
Lesson 24.1: Confidence Intervals and Margins of Error		1. Find confidence intervals for population means 2. Find confidence intervals for population proportions 3. Interpret confidence intervals for population means
Lesson 24.1: Confidence Intervals and Margins of Error
1. Find confidence intervals for population means 2. Find confidence intervals for population proportions 3. Interpret confidence intervals for population means

Lesson 24.2: Surveys, Experiements, and Observational Studies		1. Experiment design
Lesson 24.2: Surveys, Experiements, and Observational Studies
1. Experiment design

Lesson 24.3: Determining the Significance of Experimental Results		1. Analyze the results of an experiment using simulations
Lesson 24.3: Determining the Significance of Experimental Results
1. Analyze the results of an experiment using simulations

This document includes the IXL® skill alignments to Houghton Mifflin Harcourt's HMH AGA 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 Houghton Mifflin Harcourt 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.