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IXL Skill Alignment Precalculus alignment for McGraw Hill Texas Math 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/mcgraw-hill-texas-math-2016-precalculus This document includes the IXL® skill alignments to McGraw Hill's McGraw Hill Texas 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 McGraw Hill 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 © 2021

IXL Skill Alignment...Solve a triangle 1.Law of Sines MXX 2.Law of Cosines 6MW 3.Solve a triangle 8Y3 Area of a triangle 4.Area of a triangle: sine formula JU5 5.Area of a triangle:

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Page 1: IXL Skill Alignment...Solve a triangle 1.Law of Sines MXX 2.Law of Cosines 6MW 3.Solve a triangle 8Y3 Area of a triangle 4.Area of a triangle: sine formula JU5 5.Area of a triangle:

IXL Skill Alignment 

Precalculus alignment for McGraw Hill Texas Math

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/mcgraw-hill-texas-math-2016-precalculus

This document includes the IXL® skill alignments to McGraw Hill's McGraw Hill Texas 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 McGraw Hill 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 © 2021

Page 2: IXL Skill Alignment...Solve a triangle 1.Law of Sines MXX 2.Law of Cosines 6MW 3.Solve a triangle 8Y3 Area of a triangle 4.Area of a triangle: sine formula JU5 5.Area of a triangle:

 

Chapter 0Preparing for Precalculus

Textbook section IXL skills

Lesson 0-1: Sets

Lesson 0-2: Operations with Complex Numbers Powers of i1. Powers of i TW8

Operations with complex numbers2. Add and subtract complex numbers GNA

3. Multiply and divide complex numbers RYR

4. Add, subtract, multiply, and divide complexnumbers 2QV

Complex conjugates5. Complex conjugates K5Q

Lesson 0-3: Quadratic Functions and Equations Graph quadratic functions1. Characteristics of quadratic functions GRL

2. Graph a quadratic function DRX

3. Find the maximum or minimum value of aquadratic function KRZ

Solve quadratic functions4. Solve a quadratic equation using the zero

product property TRU

5. Solve a quadratic equation using squareroots 2UF

6. Solve a quadratic equation by factoring MHY

7. Solve a quadratic equation by completing thesquare YMP

8. Solve a quadratic equation using the quadraticformula FYM

Lesson 0-4: nth Roots and Real Exponents Radicals1. Nth roots 6NE

2. Roots of integers 8RV

3. Roots of rational numbers 28Q

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4. Find roots using a calculator 9E4

Rational exponents5. Evaluate rational exponents 26H

6. Operations with rational exponents NQB

Simplify radical expressions7. Simplify radical expressions with variables 9LT

8. Simplify expressions involving rationalexponents 7TC

Lesson 0-5: Systems of Linear Equations andInequalities

System of equation in two variables1. Solve a system of equations by graphing 97U

2. Classify a system of equations TJD

3. Solve a system of equations usingsubstitution ZPV

4. Solve a system of equations usingelimination M8G

Real-world scenario5. Solve a system of equations by graphing: word

problems LXQ

6. Solve a system of equations using substitution:word problems DXU

7. Solve a system of equations using elimination:word problems VFS

System of equations in three variables8. Determine the number of solutions to a system

of equations in three variables ZZQ

System of inequalities9. Is (x, y) a solution to the system of

inequalities? RFY

Lesson 0-6: Matrix Operations Describe and anaylze matrices1. Matrix vocabulary 75N

2. Matrix operation rules SQR

Matrix operations3. Add and subtract matrices 2SM

4. Multiply a matrix by a scalar FJT

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5. Add and subtract scalar multiples ofmatrices 9ME

Lesson 0-7: Probability with Permutations andCombinations

1. Introduction to probability VGH

2. Calculate probabilities of events 74H

3. Combinations and permutations 7ZS

4. Find probabilities using combinations andpermutations PKN

5. Identify independent events PLB

Lesson 0-8: Statistics 1. Mean, median, mode, and range MHB

2. Calculate quartiles and interquartile range 8H9

3. Box plots YE9

4. Interpret bar graphs, line graphs, andhistograms B9A

5. Create bar graphs, line graphs, andhistograms EF6

6. Variance and standard deviation 7L3

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Chapter 1Functions from a Calculus Perspective

Textbook section IXL skills

Lesson 1-1: Functions 1. Identify functions QTA

2. Evaluate functions 6VY

Lesson 1-2: Anaylzing Graphs of Functions andRelations

Evaulate functions1. Find values using function graphs 2AM

2. Complete a table for a function graph L5B

3. Evaluate exponential functions LWE

Quadratic functions4. Match quadratic functions and graphs H59

5. Characteristics of quadratic functions GRL

Polynomial functions6. Find the roots of factored polynomials DTZ

7. Match polynomials and graphs VQK

Domain and range8. Domain and range YEC

9. Domain and range of absolute value functions:graphs Y8C

10. Domain and range of absolute value functions:equations FXV

Lesson 1-3: Continuity, End Behavior, and Limits End behavior1. Identify graphs of continuous functions 24H

2. Determine continuity using graphs Y7R

Continuity3. Determine one-sided continuity using

graphs QMX

4. Find and analyze points of discontinuity usinggraphs S48

5. Determine continuity on an interval usinggraphs E6M

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6. Determine the continuity of a piecewise functionat a point X5C

7. Make a piecewise function continuous VKT

Intermediate value theorem8. Intermediate Value Theorem BDH

Lesson 1-4: Extrema and Average Rates of Change 1. Average rate of change I P8Z

2. Average rate of change II MYZ

Lesson 1-5: Parent Functions and Transformations 1. Function transformation rules DUV

2. Translations of functions XTT

3. Reflections of functions 2S4

4. Dilations of functions 9KX

5. Transformations of functions UAL

6. Describe function transformations JN6

Lesson 1-6: Function Operations and Compositionof Functions

1. Add, subtract, multiply, and divide functions CLF

2. Composition of functions TBH

Lesson 1-7: Inverse Relations and Functions 1. Identify inverse functions 2Y8

2. Find values of inverse functions from tables PBA

3. Find values of inverse functions fromgraphs FDG

4. Find inverse functions and relations DST

5. Check whether two rational functions areinverses KFE

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Chapter 2Power, Polynomial, and Rational Functions

Textbook section IXL skills

Lesson 2-1: Power and Rational Functions 1. Solve radical equations 2G6

2. Domain and range of radical functions VY8

Lesson 2-2: Polynomial Functions Factoring1. Factor out a monomial NMZ

2. Factor sums and differences of cubes 9PW

3. Factor using a quadratic pattern SZN

4. Find the roots of factored polynomials DTZ

Polynomial functions5. Match polynomials and graphs VQK

6. Domain and range of polynomials TZZ

Lesson 2-3: The Remainder and Factor Theorems 1. Divide polynomials using long division 5YS

2. Divide polynomials using synthetic division E6K

3. Evaluate polynomials using syntheticdivision ADF

Lesson 2-4: Zeros of Polynomial Functions Theorems1. Rational root theorem EHC

2. Descartes' Rule of Signs ZFB

3. Fundamental Theorem of Algebra FUF

Write a polynomial4. Write a polynomial from its roots GPB

Solve equations5. Solve equations using a quadratic pattern DSF

6. Solve equations with sums and differences ofcubes 5DG

7. Solve polynomial equations ZCH

Complex roots8. Complex conjugate theorem U5Z

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9. Conjugate root theorems 6MB

Lesson 2-5: Rational Functions Simplify rational expressions1. Simplify rational expressions 37N

2. Multiply and divide rational expressions MG2

3. Add and subtract rational expressions FEX

Solve rational equations4. Solve rational equations 8UN

Rational functions5. Rational functions: asymptotes and excluded

values YSJ

Lesson 2-6: Nonlinear Inequalities 1. Graph solutions to quadratic inequalities RVR

2. Solve quadratic inequalities KL5

3. Graph solutions to higher-degreeinequalities 6PQ

4. Solve higher-degree inequalities RDR

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Chapter 3Exponential and Logarithmic Functions

Textbook section IXL skills

Lesson 3-1: Exponential Functions Graphs of exponential functions1. Exponential functions over unit intervals 8LR

2. Identify linear and exponential functions AUY

3. Match exponential functions and graphs PCX

4. Describe linear and exponential growth anddecay 9QH

Real-world scenarios5. Exponential growth and decay: word

problems 7SH

6. Compound interest: word problems 2WU

7. Continuously compounded interest: wordproblems 5GU

Lesson 3-2: Logarithmic Functions 1. Evaluate logarithms MQM

2. Convert between exponential and logarithmicform SXD

3. Domain and range of exponential andlogarithmic functions GQ9

Lesson 3-3: Properties of Logarithms 1. Change of base formula CUW

2. Product property of logarithms VXL

3. Quotient property of logarithms HMN

4. Power property of logarithms BVY

5. Evaluate logarithms using properties XWK

Lesson 3-4: Exponential and LogarithmicEquations

1. Solve logarithmic equations with onelogarithm GJH

2. Solve logarithmic equations with multiplelogarithms 9CY

3. Solve exponential equations usinglogarithms UWM

4. Solve exponential equations using factoring 5LY

Lesson 3-5: Modeling with Nonlinear Regression

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Chapter 4Trigonometric Functions

Textbook section IXL skills

Lesson 4-1: Right Triangle Trigonometry 1. Find trigonometric ratios using righttriangles L6Y

2. Solve a right triangle ET7

Lesson 4-2: Degrees and Radians 1. Convert between radians and degrees KEV

2. Radians and arc length HVD

3. Coterminal and reference angles PLQ

4. Area of sectors XZQ

Lesson 4-3: Trigonometric Functions on the UnitCircle

1. Find trigonometric ratios using the unitcircle BEM

2. Find trigonometric ratios using referenceangles 9QB

3. Quadrants CTR

4. Find trigonometric ratios of special angles DPR

Lesson 4-4: Graphing Sine and Cosine Functions Sine functions1. Find properties of sine functions NVY

2. Write equations of sine functions fromgraphs TJH

3. Write equations of sine functions usingproperties SMV

4. Graph sine functions HP2

5. Graph translations of sine functions 6PG

Cosine functions6. Find properties of cosine functions JZV

7. Write equations of cosine functions fromgraphs 7MS

8. Write equations of cosine functions usingproperties KVG

9. Graph cosine functions HE5

10. Graph translations of cosine functions RGG

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Mixed practice11. Graph sine and cosine functions C8N

12. Graph translations of sine and cosinefunctions NVC

Lesson 4-5: Graphing Other TrigonometricFunctions

Lesson 4-6: Inverse Trigonometric Functions 1. Inverses of trigonometric functions FUL

Lesson 4-7: The Law of Sines and the Law ofCosines

Solve a triangle1. Law of Sines MXX

2. Law of Cosines 6MW

3. Solve a triangle 8Y3

Area of a triangle4. Area of a triangle: sine formula JU5

5. Area of a triangle: Heron's formula CHZ

Trigonometric ratios6. Trigonometric ratios: find a side length 62D

7. Trigonometric ratios: find an angle measure BFU

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Chapter 5Trigonometric Identies and Equations

Textbook section IXL skills

Lesson 5-1: Trigonometric Identities 1. Trigonometric identities I WHX

2. Trigonometric identities II 8S8

3. Symmetry and periodicity of trigonometricfunctions FSJ

4. Complementary angle identities J5N

Lesson 5-2: Verifying Trigonometric Identities

Lesson 5-3: Solving Trigonometric Equations 1. Solve trigonometric equations DVX

Lesson 5-4: Sum and Difference Identities

Lesson 5-5: Multiple-Angle and Product-to-SumIdentities

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Chapter 6Systems of Equations and Matrices

Textbook section IXL skills

Lesson 6-1: Multivariable Linear Systems and RowOperations

1. Solve a system of equations using augmentedmatrices DL8

2. Solve a system of equations using augmentedmatrices: word problems 4F9

3. Solve a system of equations in three variablesusing substitution RUC

4. Solve a system of equations in three variablesusing elimination S2V

Lesson 6-2: Matrix Multiplication, Inverses, andDeterminants

Matrix operation1. Multiply two matrices 9EF

2. Simplify matrix expressions 8C4

3. Properties of matrices WVY

Matrix inverse4. Is a matrix invertible? 6M6

5. Inverse of a 2 x 2 matrix CLV

6. Inverse of a 3 x 3 matrix XWL

7. Identify inverse matrices 7UH

Determinant8. Determinant of a matrix 7X8

Solve matrix equations9. Solve matrix equations SNU

10. Solve matrix equations using inverses 2UD

Lesson 6-3: Solving Linear Systems Using Inversesand Cramer's Rule

Lesson 6-4: Partial Fractions

Lesson 6-5: Linear Optimization 1. Solve systems of linear inequalities bygraphing KS6

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Chapter 7Conic Sections and Parametric Equations

Textbook section IXL skills

Lesson 7-1: Parabolas 1. Find properties of parabolas L76

2. Convert equations of parabolas from general tovertex form 39W

3. Write equations of parabolas in vertex form PL2

4. Graph parabolas YPA

Lesson 7-2: Ellipses and Circles Circles1. Find properties of circles QBC

2. Write equations of circles in standard form FE8

3. Graph circles 2WV

Ellipses4. Find properties of ellipses QRV

5. Find the eccentricity of an ellipse W78

6. Write equations of ellipses in standard form 7P6

Lesson 7-3: Hyperbolas 1. Find properties of hyperbolas G2L

2. Find the eccentricity of a hyperbola JMU

3. Write equations of hyperbolas in standardform KBN

4. Convert equations of conic sections from generalto standard form J5G

Lesson 7-4: Rotations of Conic Sections

Lesson 7-5: Parametric Equations

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Chapter 8Vectors

Textbook section IXL skills

Lesson 8-1: Introduction to Vectors Graph a resultant vector1. Graph a resultant vector using the triangle

method LBY

2. Graph a resultant vector using the parallelogrammethod 9E3

Vector scalar multiple3. Multiply a vector by a scalar WNC

4. Find the magnitude of a vector scalarmultiple QM6

5. Determine the direction of a vector scalarmultiple YZ5

Lesson 8-2: Vectors in the Coordinate Plane Unit Vector1. Find a unit vector 74T

Component form of vectors2. Find the component form of a vector XLQ

3. Find the component form of a vector from itsmagnitude and direction angle BSW

Vector operations4. Add vectors KKG

5. Subtract vectors 64N

Magnitude and direction of vectors6. Find the direction angle of a vector RTR

7. Find the magnitude of a vector XV9

8. Find the magnitude and direction of a vectorsum QCS

Linear combinations of vectors9. Linear combinations of vectors JGL

Lesson 8-3: Dot Products and Vector Projections

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Lesson 8-4: Vectors in Three-Dimensional Space 1. Find the magnitude of a three-dimensionalvector NUR

2. Find the component form of a three-dimensionalvector PWR

3. Add and subtract three-dimensional vectors JKR

4. Scalar multiples of three-dimensionalvectors LAA

5. Find a three-dimensional unit vector 2ZV

6. Linear combinations of three-dimensionalvectors TVX

Lesson 8-5: Dot and Cross Products of Vectors inSpace

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Chapter 9Polar Coordinates and Complex Numbers

Textbook section IXL skills

Lesson 9-1: Polar Coordinates

Lesson 9-2: Graphs of Polar Equations 1. Match polar equations and graphs 35P

Lesson 9-3: Polar and Rectangular Forms ofEquations

Lesson 9-4: Polar Forms of Conic Sections

Lesson 9-5: Complex Numbers and DeMoivre'sTheorem

Graph in the complex plane1. Introduction to the complex plane J8S

2. Graph complex numbers ABL

Operations in the complex plane3. Addition in the complex plane VRV

4. Subtraction in the complex plane 2FN

5. Graph complex conjugates CRX

6. Absolute value in the complex plane DUF

Midpoint and distance7. Midpoints in the complex plane 79E

8. Distance in the complex plane MCD

Find the modulus and argument9. Find the modulus and argument of a complex

number 3Y5

Convert complex numbers10. Convert complex numbers from rectangular to

polar form LCP

11. Convert complex numbers from polar torectangular form PVD

12. Convert complex numbers betweenrectangular and polar form JGA

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Chapter 10Sequences and Series

Textbook section IXL skills

Lesson 10-1: Sequences, Series, and SigmaNotation

Find terms of a sequence1. Find terms of a sequence 7W8

2. Find terms of a recursive sequence VSG

Explicit and recursive formula3. Identify a sequence as explicit or recursive DKZ

4. Find a recursive formula FE2

5. Find recursive and explicit formulas FJB

6. Convert an explicit formula to a recursiveformula ZL9

7. Convert between explicit and recursiveformulas PZA

Partial sums8. Introduction to partial sums YQP

Sigma notation9. Introduction to sigma notation FTV

Lesson 10-2: Arithemtic Sequences and Series 1. Find terms of an arithmetic sequence C8R

2. Write a formula for an arithmetic sequence H82

3. Find the sum of an arithmetic series HM5

4. Partial sums of arithmetic series SJ8

Lesson 10-3: Geometric Sequences and Series Geometric sequences1. Find terms of a geometric sequence BHV

2. Write a formula for a geometric sequence Q5V

Geometric series3. Find the sum of a finite geometric series 7HF

4. Convergent and divergent geometric series SVM

5. Find the value of an infinite geometricseries SRN

6. Partial sums of geometric series D2D

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Mixed sequences and series7. Identify arithmetic and geometric series HS9

8. Partial sums: mixed review WUP

Lesson 10-4: Mathematical Induction

Lesson 10-5: The Binomial Theorem 1. Pascal's triangle UMZ

2. Pascal's triangle and the Binomial Theorem 9XR

3. Binomial Theorem I K97

4. Binomial Theorem II 2KV

Lesson 10-6: Functions as Infinite Series

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Chapter 11Inferential Statistics

Textbook section IXL skills

Lesson 11-1: Descriptive Statistics

Lesson 11-2: Probability Distributions Discrete probability1. Identify discrete and continuous random

variables KD7

2. Write a discrete probability distribution MPF

3. Graph a discrete probability distribution E8W

Random variables4. Expected values of random variables YFY

5. Variance of random variables RZU

6. Standard deviation of random variables BHU

Real-world problems7. Write the probability distribution for a game of

chance 42D

8. Expected values for a game of chance QXE

9. Choose the better bet 5MS

Binomial distribution10. Find probabilities using the binomial

distribution 9UZ

11. Mean, variance, and standard deviation ofbinomial distributions E9Y

Lesson 11-3: The Normal Distrubition 1. Find probabilities using the normal distributionI SSW

2. Find probabilities using the normal distributionII QCL

3. Find z-values 9PK

4. Find values of normal variables 87N

Lesson 11-4: The Central Limit Theorem 1. The Central Limit Theorem FC7

2. Use normal distributions to approximatebinomial distributions 8UV

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3. Distributions of sample means 8R5

Lesson 11-5: Confidence Intervals 1. Find confidence intervals for populationmeans 8G2

2. Find confidence intervals for populationproportions XWT

3. Interpret confidence intervals for populationmeans HL7

Lesson 11-6: Hypothesis Testing

Lesson 11-7: Correlation and Linear Regression Outliers1. Outliers in scatter plots CXA

Correlation2. Match correlation coefficients to scatter

plots RVE

3. Calculate correlation coefficients HZ9

Linear Regression4. Find the equation of a regression line 7R9

5. Interpret regression lines AU6

6. Analyze a regression line of a data set HZH

7. Analyze a regression line using statistics of adata set NEV

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Chapter 12Limits and Derivatives

Textbook section IXL skills

Lesson 12-1: Estimating Limits Graphically Estimate limits1. Find limits using graphs BF5

2. Find one-sided limits using graphs L7Q

3. Determine if a limit exists 9YS

4. Find limits at vertical asymptotes usinggraphs VZP

Determine end behavior5. Determine end behavior using graphs VY9

6. Determine end behavior of polynomial andrational functions GVF

Lesson 12-2: Evaluating Limits Algebraically Limit laws1. Find limits using addition, subtraction, and

multiplication laws BTG

2. Find limits using the division law MKT

3. Find limits using power and root laws PJD

4. Find limits using limit laws W8J

Find limits of functions5. Find limits of polynomials and rational

functions 9BY

6. Find limits involving factorization andrationalization GXB

Lesson 12-3: Tangent Lines and Velocity 1. Find instantaneous rates of change XZU

2. Velocity as a rate of change E2W

3. Find the slope of a tangent line using limits F5K

4. Find equations of tangent lines using limits MBX

Lesson 12-4: Derivatives Introduction to derivatives1. Find values of derivatives using limits 9KU

Derivative rules2. Power rule I FMB

McGraw Hill Texas Math - Precalculus

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3. Power rule II NML

4. Sum and difference rules LDE

5. Product rule P86

6. Quotient rule D8X

Find derivatives7. Find derivatives of polynomials TL2

8. Find derivatives of rational functions LSM

Lesson 12-5: Area Under a Curve and Integration

Lesson 12-6: The Fundamental Theorem ofCalculus

McGraw Hill Texas Math - Precalculus

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