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A resource developed by The Charles A. Dana Center at The University of Texas at Austin and Ivy Tech Community College of Indiana

What Students Need to Know: Mathematics Concept Inventories for Community College Workforce Education Programs

2013

What Students Need to Know: Mathematics Concept Inventories for Community College Workforce Education Programs Frontmatter

The Charles A. Dana Center at The University of Texas at Austin and Ivy Tech Community College of Indiana ii


The Charles A. Dana Center at The University of Texas at Austin and Ivy Tech Community College of Indiana iii

Copyright 2013, the Charles A. Dana Center at The University of Texas at Austin

Unless otherwise indicated, the materials in this resource are the copyrighted property of the Charles A. Dana Center at The University of Texas at Austin. Educators and education leaders may copy and disseminate this resource for noncommercial purposes without obtaining further permission, so long as the document is reproduced in its entirety and retains the full name of the copyright holder, as above.

We use all funds generated through use of our materials to further our nonprofit education mission. Please send your permission requests or questions to us at this address:

Charles A. Dana Center Fax: 512-232-1855 The University of Texas at Austin [email protected] 1616 Guadalupe Street, Suite 3.206 www.utdanacenter.org Austin, TX 78701-1222

The Dana Center, The University of Texas at Austin, and Ivy Tech Community College of Indiana, as well as the authors and editors, assume no liability for any loss or damage resulting from the use of this resource. Any opinions, findings, conclusions, or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of The University of Texas at Austin. We have made extensive efforts to ensure the accuracy of the information in this resource, to provide proper acknowledgement of original sources, and to otherwise comply with copyright law. If you find an error or you believe we have failed to provide proper acknowledgment, please contact us at [email protected]. July 2013 release.

As always, we welcome your comments and suggestions for improvements. Please contact us at [email protected] or at the address above.

About the Charles A. Dana Center at The University of Texas at Austin

The Dana Center strengthens our nation’s education systems to provide a reliable path to upward mobility for all students. Our work focuses on mathematics and science education, with an emphasis on strategies for improving student engagement, motivation, and persistence. We are dedicated to nurturing students’ intellectual passions and ensuring that every student leaves school prepared for success in postsecondary education and the contemporary workplace—and for active participation in our modern democracy.

We advocate for high academic standards, and we collaborate with local partners to build the capacity of education systems to ensure that all students can master the content described in these standards. We help our partners adapt promising research to meet their local needs.

We develop innovative curricula, tools, protocols, instructional supports, and professional development systems that we implement through multiple channels, from the highly local and personal to the regional and national. We provide long-term technical assistance to school and district leadership teams, advise community colleges and states, and collaborate with national partners on work such as our Urban District Leadership Networks, Academic Youth Development project, and Advanced Mathematical Decision Making course.

We have significant experience and expertise in the following: • Standards development and implementation,

systemic reform, and district capacity building

• Education leadership, instructional coaching, and teaching

• K–14 course design and development, learning networks, and programs for bridging critical transitions

• Research, content development, and publishing

The Center was founded in 1991 at The University of Texas at Austin. Our staff of more than 60 researchers and education professionals has worked with dozens of school systems in nearly 20 states and with most of Texas’s more than 1,000 school districts. We are committed to ensuring that the accident of where a student attends school does not limit the academic opportunities he or she can pursue. For more information about our programs and resources, see our homepage at www.utdanacenter.org.


The Charles A. Dana Center at The University of Texas at Austin and Ivy Tech Community College of Indiana iv

About Ivy Tech Community College of Indiana

Ivy Tech Community College is the state's largest public postsecondary institution and the nation's largest singly accredited statewide community college system, serving nearly 200,000 students annually. Ivy Tech has campuses throughout Indiana. It serves as the state's engine of workforce development, offering affordable degree programs and training that are aligned with the needs of its community, along with courses and programs that transfer to other colleges and universities in Indiana. It is accredited by the Higher Learning Commission and a member of the North Central Association. For more information on Ivy Tech, see www.ivytech.edu.

About the development of this resource

In June 2012, the Mathematics Steering Committee at Ivy Tech Community College of Indiana—in an effort to develop preparatory mathematics courses for the college’s programs that offer certificates, technical certificates, and/or associate’s degrees in a wide range of workforce education disciplines—embarked on an ambitious data-collection effort to determine the prerequisite mathematics concepts that students need to be successful in each of these programs.

Leaders in the mathematics education community at Ivy Tech jointly developed and conducted surveys of program chairs and faculty within the Ivy Tech system to determine how various mathematical concepts (from a comprehensive list developed by the College) are relevant to various programs of study.

The Dana Center, recognizing that such an effort was a first for community college mathematics—and that as such, the survey results could be of great benefit to the community college mathematics education community—agreed to work with Ivy Tech to aggregate and analyze these data sets to create comprehensive mathematics concepts inventories that could be used by mathematics faculty at community colleges across the country. This joint effort resulted in this first edition of this resource.


The Charles A. Dana Center at The University of Texas at Austin and Ivy Tech Community College of Indiana v

Acknowledgments

The development and production of this publication were made possible by a grant from Carnegie Corporation of New York. The statements made and views expressed are solely the responsibility of the authors.

Staff at the Charles A. Dana Center at The University of Texas at Austin Project Lead

Thomas J. Connolly, Ph.D., program coordinator, higher education team

Editing and Production Rachel Jenkins, consulting editor Bryan Kennel, team lead for technology and design Phil Swann, senior designer

Staff at Ivy Tech Community College of Indiana Project Leads

Tova Wiegand-Green, M.A., Dean, School of Health Sciences, Ivy Tech Community College, Fort Wayne

Carrie McCammon, M.S., Mathematics Program Chair and Associate Professor of Mathematics, Ivy Tech Community College, Wabash Valley Region

Survey Coordinators School of Business Paul Addison Sandy Bailey Amy Browning Jill Canine Danette Coughlin Cynthia Greeson Michelle Hagan-Short Marilyn Kerr Rob Murray Ron Oler Pamela Schmelz Lue Anne Stroupe Karen Tower Donna Young

School of Education Amanda Barche-Limburg Mary Ann Bennett Luanne Benson-Lender Marjie Risen Linda Taylor

School of Fine Arts & Design Lloyd Brooks Joe Hostetler Cheryl King Kyle Wiley

School of Health Services Laurie Peters, Ph.D.

School of Public and Social Services Jeff Albertson Cathy Alsman Jeff Bunting Susan Clark Nicole Fech James Houston Mike James Chris Kiefer Susan Mannan Karen McPherson Wanda Pearson Brent Spring Linda Terrell Marie White Julie Wood Marcia Ziegler

School of Technology Kirk Barnes Susan Ely Michael Erny Mark Esch-Williams Larry Gutierrez Steve Henry Donald Lucas Robert Marsh John Mason Dave Miller Jeff Moore Rahim Negahban Sheena Nolin Valentina Petreska Debbie Pitzer Jianren Rong John Roudebush Michael Satterfield Doug Schauer Rob Townsend Mike Ulmer


The Charles A. Dana Center at The University of Texas at Austin and Ivy Tech Community College of Indiana vi

Alphabetical list of programs

Below are listed 34 Ivy Tech Community College of Indiana programs that offer certificates, technical certificates, and/or associate’s degrees in a wide range of workforce education disciplines. This publication includes a two-page summary for each of these programs of study; each summary details which mathematics concepts (from a comprehensive list developed by Ivy Tech) are highly relevant, relevant, minimally relevant, or not relevant for that program of study; the determination of relevance was derived from survey responses from faculty and program chairs from campuses across the Ivy Tech system. These were then vetted at curriculum review meetings by the full faculty from each respective program. This resource is intended to support a larger conversation in the field about what mathematics concepts a student should know to be certified in various programs.

Accounting ..................................................... 1

Automotive Technology ................................. 3 Aviation Technology ...................................... 5

Building Construction Management .............. 7 Business Administration ................................. 9

Chemical Technology ................................... 11 Computer Information Systems .................... 13

Computer Information Technology .............. 15 Construction Technology ............................. 17

Criminal Justice ............................................ 19 Dental Hygiene ............................................. 21

Design Technology ....................................... 23 Early Childhood Education .......................... 25

Education ...................................................... 27 Electronics and Computer Technology ........ 29

Energy Technology ...................................... 31 Environmental Design .................................. 33

Health Care Support ..................................... 35

Health Information Management/ Technology ................................................. 37

Hospitality Administration ............................ 39

Human Services ............................................. 41 Industrial Technology ................................... 43

Information Security ..................................... 45 Library Technical Assistant .......................... 47

Machine Tool Technology ............................ 49 Medical Assisting .......................................... 51

Medical Laboratory Technician .................... 53 Office Administration ................................... 55

Paralegal Studies ........................................... 57 Paramedic Science ......................................... 59

Respiratory Care ............................................ 61 Surgical Technology ..................................... 63

Therapeutic Massage ..................................... 65 Visual Communications ................................ 67


The Charles A. Dana Center at The University of Texas at Austin and Ivy Tech Community College of Indiana vii

What Students Need to Know: Mathematics Concept Inventories for Community College Workforce Education Programs …

… Is a resource for community college mathematics leaders and faculty who are working to reform mathematics content in workforce education programs.

This resource, developed in partnership with Ivy Tech Community College of Indiana, and made possible by a grant from The Carnegie Corporation of New York, features inventories of required mathematics concepts for a broad range of workforce education programs at the certificate and associate’s degree levels.

We would be remiss if we did not note that the new What Does It Really Mean to be College and Work Ready report1 from the National Center on Education and the Economy covers much of the same ground—for both mathematics and English literacy, but from a higher vantage point and with a broader approach. Specifically,2 NCEE analyzed evidence “to determine reading, writing, and mathematical literacy knowledge and skills needed to succeed in … nine highly popular and diverse program areas”:

Accounting Automotive Technology Biotech / Electrical Technology Business Computer Programming

Criminal Justice Early Childhood Education Information Technology Nursing

This resource differs particularly in that it focuses on certificates, technical certificates, and/or associate’s degrees in 34 of workforce education disciplines. NCEE’s report focuses only on degree programs and course sequences that enable students to transfer to a 4-year institution. To access this excellent report, see www.ncee.org/college-and-work-ready.

1 National Center on Education and the Economy. (2013, May). What Does It Really Mean to be College and

Work Ready?: The Mathematics Required of First Year Community College Students. Washington, DC: Author. Retrieved July 1, 2013, via www.ncee.org/college-and-work-ready.

2 Ibid, page 7.

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersApply properties of integer exponentsCalculate measures of central tendencyCalculate slopeCollect and analyze dataDetermine, evaluate, and graph functionsEvaluate expressions and formulasGraph linear equationsIdentify perfect squares and calculate square roots using a calculatorPerform basic operations with complex numbersPerform the set operations of union, intersection, and complementationRead and interpret tables and graphsSimplify algebraic expressions (distributive property, combine like terms)Solve absolute value equationsSolve an equation for a specified variableSolve financial applications including simple and compound interestSolve linear equationsSolve linear inequalitiesSolve percent problemsSolve proportion problemsSolve quadratic equationsSolve systems of equations with three variablesTranslate verbal expressions into algebraic symbols and vice versaUnderstand the concept of slope as a rate of changeUse scientific notationUse the order of operations (grouping symbols, exponents)Write linear equations from tables, graphs, and applicationsGraph linear inequalitiesSimplify radicalsSolve absolute value inequalitiesAdd, subtract, multiply, and divide polynomial expressionsApply properties of intersecting lines, transversals, and anglesApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the Pythagorean theoremApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distribution

ACCOUNTINGhighly relevant

minmally

relevant

not relevant


The Charles A. Dana Center at The University of Texas at Austin and Ivy Tech Community College of Indiana

1

ACCOUNTINGCalculate measures of dispersionCalculate perimeters, areas, and volumes of basic geometric figuresCalculate z-scores and percentile ranksCompute probabilitiesConvert between degree measure and radian measureDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationFactor binomials, trinomials and four-term polynomialsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph polynomial functionsGraph quadratic functionsGraph trigonometric functionsIdentify characteristics and properties of circles, triangles, and quadrilateralsOperate within and between the U.S. customary and metric systemPerform common constructions using a straightedge and compassPerform operations on matricesSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve radical equationsSolve rational equationsSolve right trianglesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsUse and apply properties of vectorsUse chi-square testingUse permutations, combinations, and other counting techniquesUse proportion as applied to similar figuresUse the binomial and normal distributions to determine probabilitiesUse the properties of rational exponentsUse tree diagramsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUse Venn diagrams to illustrate properties of setsUtilize trigonometric identities

not relevant



2

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersCalculate perimeters, areas, and volumes of basic geometric figuresCollect and analyze dataEvaluate expressions and formulasFind the angles of regular polygonsIdentify characteristics and properties of circles, triangles, and quadrilateralsOperate within and between the U.S. customary and metric systemRead and interpret tables and graphsSolve an equation for a specified variableSolve financial applications including simple and compound interestSolve percent problemsSolve proportion problemsTranslate verbal expressions into algebraic symbols and vice versaUse proportion as applied to similar figuresUse the order of operations (grouping symbols, exponents)Add, subtract, multiply, and divide polynomial expressionsAdd, subtract, multiply, divide with negative numbersApply properties of integer exponentsApply properties of intersecting lines, transversals, and anglesApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the Pythagorean theoremApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCalculate measures of central tendencyCalculate measures of dispersionCalculate slopeCalculate z-scores and percentile ranksCompute probabilitiesConvert between degree measure and radian measureDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationDetermine, evaluate, and graph functionsFactor binomials, trinomials and four-term polynomialsFind trigonometric function values of any angle expressed in degree or radian Graph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear equationsGraph linear inequalitiesGraph polynomial functions

AUTOMOTIVE TECHNOLOGYrelevant

not relevant



3

AUTOMOTIVE TECHNOLOGYGraph quadratic functionsGraph trigonometric functionsIdentify perfect squares and calculate square roots using a calculatorPerform basic operations with complex numbersPerform common constructions using a straightedge and compassPerform operations on matricesPerform the set operations of union, intersection, and complementationSimplify algebraic expressions (distributive property, combine like terms)Simplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve linear equationsSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsUnderstand the concept of slope as a rate of changeUse and apply properties of vectorsUse chi-square testingUse permutations, combinations, and other counting techniquesUse scientific notationUse the binomial and normal distributions to determine probabilitiesUse the properties of rational exponentsUse tree diagramsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUse Venn diagrams to illustrate properties of setsUtilize trigonometric identitiesWrite linear equations from tables, graphs, and applications

not relevant



4

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersEvaluate expressions and formulasIdentify characteristics and properties of circles, triangles, and quadrilateralsRead and interpret tables and graphsSimplify algebraic expressions (distributive property, combine like terms)Solve an equation for a specified variableSolve percent problemsSolve proportion problemsSolve right trianglesUse scientific notationUse the order of operations (grouping symbols, exponents)Apply properties of intersecting lines, transversals, and anglesApply the Pythagorean theoremCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeCollect and analyze dataConvert between degree measure and radian measureFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansIdentify perfect squares and calculate square roots using a calculatorOperate within and between the U.S. customary and metric systemPerform common constructions using a straightedge and compassSimplify rational expressions, including complex fractionsSolve oblique triangles using the laws of sine and cosineTranslate verbal expressions into algebraic symbols and vice versaUnderstand the concept of slope as a rate of changeUse and apply properties of vectorsUse proportion as applied to similar figuresUse tree diagramsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleWrite linear equations from tables, graphs, and applications

relevant

AVIATION TECHNOLOGYhighly relevant



5

AVIATION TECHNOLOGYAdd, subtract, multiply, and divide polynomial expressionsApply properties of integer exponentsApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distributions using normal distributionCalculate measures of central tendencyCalculate measures of dispersionCalculate z-scores and percentile ranksCompute probabilitiesDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationDetermine, evaluate, and graph functionsFactor binomials, trinomials and four-term polynomialsGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear equationsGraph linear inequalitiesGraph polynomial functionsGraph quadratic functionsGraph trigonometric functionsPerform basic operations with complex numbersPerform operations on matricesPerform the set operations of union, intersection, and complementationSimplify radicalsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve financial applications including simple and compound interestSolve linear equationsSolve linear inequalitiesSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsUse chi-square testingUse permutations, combinations, and other counting techniquesUse the binomial and normal distribution to determine probabilitiesUse the properties of rational exponentsUse Venn diagrams to illustrate properties of setsUtilize trigonometric identities

not relevant



6

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersApply properties of intersecting lines, transversals, and anglesApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the Pythagorean theoremCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeCollect and analyze dataCompute probabilitiesConvert between degree measure and radian measureDetermine, evaluate, and graph functionsEvaluate expressions and formulasFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansIdentify characteristics and properties of circles, triangles, and quadrilateralsIdentify perfect squares and calculate square roots using a calculatorOperate within and between the U.S. customary and metric systemPerform basic operations with complex numbersPerform common constructions using a straightedge and compassRead and interpret tables and graphsSimplify radicalsSimplify rational expressions including complex fractionsSolve an equation for a specified variableSolve financial applications including simple and compound interestSolve oblique triangles using the laws of sine and cosineSolve percent problemsSolve proportion problemsSolve radical equationsSolve rational equationsSolve right trianglesSolve trigonometric equationsTranslate verbal expressions into algebraic symbols and vice-versaUnderstand the concept of slope as a rate of changeUse and apply properties of vectorsUse proportion as applied to similar figuresUse the order of operations (grouping symbols, exponents)Use the properties of rational exponentsUse trigonometric tables and calculators to find sine, cosine and tangent of an angle and use the inverse functions to find an angleUtilize trigonometric identities

BUILDING CONSTRUCTION MANAGEMENTrelevant



7

BUILDING CONSTRUCTION MANAGEMENTAdd, subtract, multiply, and divide polynomial expressionsApply properties of integer exponentsApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCalculate measures of central tendencyCalculate measures of dispersionCalculate z-scores and percentile ranksDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationFactor binomials, trinomials and four-term polynomialsGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear equationsGraph linear inequalitiesGraph polynomial functionsGraph quadratic functionsGraph trigonometric functionsPerform operations on matricesPerform the set operations of union, intersection, and complementationSimplify algebraic expressions (distributive property, combine like terms)Solve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve linear equationsSolve linear inequalitiesSolve polynomial equationsSolve quadratic equationsSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsUse chi-square testingUse permutations, combinations, and other counting techniquesUse scientific notationUse the binomial and normal distribution to determine probabilitiesUse tree diagramsUse Venn diagrams to illustrate properties of setsWrite linear equations from tables, graphs, and applications

not relevant



8

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersCalculate measures of central tendencyCalculate measures of dispersionCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeCollect and analyze dataIdentify characteristics and properties of circles, triangles, and quadrilateralsRead and interpret tables and graphsSolve financial applications including simple and compound interestSolve percent problemsSolve proportion problemsUse permutations, combinations, and other counting techniquesApply the rules of hypothesis testing for one and two sample populationsCompute probabilitiesEvaluate expressions and formulasGraph linear equationsOperate within and between the U.S. customary and metric systemSimplify algebraic expressions (distributive property, combine like terms)Solve an equation for a specified variableUnderstand the concept of slope as a rate of changeUse proportion as applied to similar figuresUse scientific notationUse the order of operations (grouping symbols, exponents)Apply properties of intersecting lines, transversals, and anglesApply the Pythagorean theoremCalculate z-scores and percentile ranksDetermine, evaluate, and graph functionsFind the angles of regular polygonsGraph linear inequalitiesGraph quadratic functionsIdentify perfect squares and calculate square roots using a calculatorPerform common constructions using a straightedge and compassPerform the set operations of union, intersection, and complementationTranslate verbal expressions into algebraic symbols and vice versaUse the binomial and normal distributions to determine probabilitiesUse tree diagramsUse Venn diagrams to illustrate properties of sets

minimally relevant

BUSINESS ADMINISTRATIONhighly relevant

relevant



9

BUSINESS ADMINISTRATIONAdd, subtract, multiply, and divide polynomial expressionsApply properties of integer exponentsApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApproximate binomial distribution using normal distributionConvert between degree measure and radian measureDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationFactor binomials, trinomials and four-term polynomialsFind trigonometric function values of any angle expressed in degrees or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph polynomial functionsGraph trigonometric functionsPerform basic operations with complex numbersPerform operations on matricesSimplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve linear equationsSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsUse and apply properties of vectorsUse chi-square testingUse the properties of rational exponentsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUtilize trigonometric identitiesWrite linear equations from tables, graphs, and applications

not relevant



10

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersApply the properties of logarithms to solve exponential and logarithmic equationsCalculate measures of central tendencyCalculate measures of dispersionCalculate slopeCollect and analyze dataDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationEvaluate expressions and formulasIdentify perfect squares and calculate square roots using a calculatorOperate within and between the U.S. customary and metric systemRead and interpret tables and graphsSolve absolute value equationsSolve an equation for a specified variableSolve linear equationsSolve percent problemsSolve proportion problemsSolve rational equationsTranslate verbal expressions into algebraic symbols and vice versaUnderstand the concept of slope as a rate of changeUse scientific notationUse the order of operations (grouping symbols, exponents)Add, subtract, multiply, and divide polynomial expressionsApply properties of integer exponentsApply properties of intersecting lines, transversals, and anglesApply the properties of complex numbers in rectangular and polar formsApply the Pythagorean theoremApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCalculate perimeters, areas, and volumes of basic geometric figuresCalculate z-scores and percentile ranksCompute probabilitiesConvert between degree measure and radian measureDetermine, evaluate, and graph functionsFactor binomials, trinomials and four-term polynomialsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear equations

CHEMICAL TECHNOLOGYrelevant

not relevant



11

CHEMICAL TECHNOLOGYGraph linear inequalitiesGraph polynomial functionsGraph quadratic functionsGraph trigonometric functionsIdentify characteristics and properties of circles, triangles, and quadrilateralsPerform basic operations with complex numbersPerform common constructions using a straightedge and compassPerform operations on matricesPerform the set operations of union, intersection, and complementationSimplify algebraic expressions (distributive property, combine like terms)Simplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value inequalitiesSolve financial applications including simple and compound interestSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsUse and apply properties of vectorsUse chi-square testingUse permutations, combinations, and other counting techniquesUse proportion as applied to similar figuresUse the binomial and normal distributions to determine probabilitiesUse the properties of rational exponentsUse tree diagramsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUse Venn diagrams to illustrate properties of setsUtilize trigonometric identitiesWrite linear equations from tables, graphs, and applications

not relevant



12

Add, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeCollect and analyze dataCompute probabilitiesEvaluate expressions and formulasIdentify characteristics and properties of circles, triangles, and quadrilateralsPerform operations on matricesRead and interpret tables and graphsSolve an equation for a specified variableSolve financial applications including simple and compound interestSolve percent problemsTranslate verbal expressions into algebraic symbols and vice versaUnderstand the concept of slope as a rate of changeUse proportion as applied to similar figuresUse the order of operations (grouping symbols, exponents)Add, subtract, multiply, divide fractionsApply properties of integer exponentsCalculate measures of central tendencyCalculate z-scores and percentile ranksDetermine, evaluate, and graph functionsGraph linear equationsGraph linear inequalitiesOperate within and between the U.S. customary and metric systemPerform basic operations with complex numbersPerform the set operations of union, intersection, and complementationSimplify algebraic expressions (distributive property, combine like terms)Simplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve linear equationsSolve proportion problemsSolve quadratic equationsSolve rational equationsSolve systems of equations with three variablesUse and apply properties of vectorsUse chi-square testingUse permutations, combinations, and other counting techniquesUse scientific notationUse tree diagrams

relevant

COMPUTER INFORMATION SYSTEMShighly relevant



13

COMPUTER INFORMATION SYSTEMSAdd, subtract, multiply, and divide polynomial expressionsApply properties of intersecting lines, transversals, and anglesApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the Pythagorean theoremApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCalculate measures of dispersionConvert between degree measure and radian measureDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationFactor binomials, trinomials and four-term polynomialsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph polynomial functionsGraph quadratic functionsGraph trigonometric functionsIdentify perfect squares and calculate square roots using a calculatorPerform common constructions using a straightedge and compassSimplify radicalsSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve radical equationsSolve right trianglesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsUse the binomial and normal distributions to determine probabilitiesUse the properties of rational exponentsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUse Venn diagrams to illustrate properties of setsUtilize trigonometric identitiesWrite linear equations from tables, graphs, and applications

not relevant



14

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersApply properties of integer exponentsApply properties of intersecting lines, transversals, and anglesApply the Pythagorean theoremCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeCollect and analyze dataCompute probabilitiesDetermine, evaluate, and graph functionsEvaluate expressions and formulasFind the angles of regular polygonsGraph linear equationsGraph linear inequalitiesGraph quadratic functionsIdentify characteristics and properties of circles, triangles, and quadrilateralsIdentify perfect squares and calculate square roots using a calculatorOperate within and between the U.S. customary and metric systemPerform operations on matricesRead and interpret tables and graphsSimplify algebraic expressions (distributive property, combine like terms)Simplify radicalsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve an equation for a specified variableSolve financial applications including simple and compound interestSolve linear equationsSolve linear inequalitiesSolve percent problemsSolve polynomial equationsSolve proportion problemsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve right trianglesSolve systems of linear equations using various matrix methodsTranslate verbal expressions into algebraic symbols and vice versaUnderstand the concept of slope as a rate of changeUse permutations, combinations, and other counting techniquesUse proportion as applied to similar figures

COMPUTER INFORMATION TECHNOLOGY relevant



15

COMPUTER INFORMATION TECHNOLOGYUse scientific notationUse the order of operations (grouping symbols, exponents)Use the properties of rational exponentsUse tree diagramsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUse Venn diagrams to illustrate properties of setsWrite linear equations from tables, graphs, and applicationsAdd, subtract, multiply, and divide polynomial expressionsApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCalculate measures of central tendencyCalculate measures of dispersionCalculate z-scores and percentile ranksConvert between degree measure and radian measureDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationFactor binomials, trinomials and four-term polynomialsFind trigonometric function values of any angle expressed in degrees or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph polynomial functionsGraph trigonometric functionsPerform basic operations with complex numbersPerform common constructions using a straightedge and compassPerform the set operations of union, intersection, and complementationSimplify rational expressions, including complex fractionsSolve oblique triangles using the laws of sine and cosineSolve systems of equations with three variablesSolve trigonometric equationsUse and apply properties of vectorsUse chi-square testingUse the binomial and normal distributions to determine probabilitiesUtilize trigonometric identities

not relevant

relevant



16

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersApply properties of intersecting lines, transversals, and anglesApply the Pythagorean theoremCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeConvert between degree measure and radian measureFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansIdentify characteristics and properties of circles, triangles, and quadrilateralsIdentify perfect squares and calculate square roots using a calculatorOperate within and between the U.S. customary and metric systemPerform common constructions using a straightedge and compassRead and interpret tables and graphsSolve an equation for a specified variableSolve oblique triangles using the laws of sine and cosineSolve percent problemsSolve proportion problemsSolve right trianglesSolve trigonometric equationsTranslate verbal expressions into algebraic symbols and vice versaUnderstand the concept of slope as a rate of changeUse and apply properties of vectorsUse proportion as applied to similar figuresUse the order of operations (grouping symbols, exponents)Use trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUtilize trigonometric identitiesAdd, subtract, multiply, and divide polynomial expressionsApply properties of integer exponentsApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCalculate measures of central tendency

CONSTRUCTION TECHNOLOGY relevant

not relevant



17

CONSTRUCTION TECHNOLOGYCalculate measures of dispersionCalculate z-scores and percentile ranksCollect and analyze dataCompute probabilitiesDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationDetermine, evaluate, and graph functionsEvaluate expressions and formulasFactor binomials, trinomials and four-term polynomialsGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear equationsGraph linear inequalitiesGraph polynomial functionsGraph quadratic functionsGraph trigonometric functionsPerform basic operations with complex numbersPerform operations on matricesPerform the set operations of union, intersection, and complementationSimplify algebraic expressions (distributive property, combine like terms)Simplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve financial applications including simple and compound interestSolve linear equationsSolve linear inequalitiesSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsUse chi-square testingUse permutations, combinations, and other counting techniquesUse scientific notationUse the binomial and normal distributions to determine probabilitiesUse the properties of rational exponentsUse tree diagramsUse Venn diagrams to illustrate properties of setsWrite linear equations from tables, graphs, and applications

not relevant



18

Add, subtract, multiply, divide whole numbersCollect and analyze dataPerform the set operations of union, intersection, and complementationRead and interpret tables and graphsSimplify algebraic expressions (distributive property, combine like terms)Solve an equation for a specified variableTranslate verbal expressions into algebraic symbols and vice versaUse proportion as applied to similar figuresUse scientific notationUse the order of operations (grouping symbols, exponents)Use Venn diagrams to illustrate properties of setsAdd, subtract, multiply, divide fractionsApply the rules of hypothesis testing for one and two sample populationsOperate within and between the U.S. customary and metric systemPerform common constructions using a straightedge and compassSolve absolute value equationsSolve percent problemsSolve proportion problemsSolve quadratic equationsUnderstand the concept of slope as a rate of changeUse permutations, combinations, and other counting techniquesUse tree diagramsWrite linear equations from tables, graphs, and applicationsAdd, subtract, multiply, divide with negative numbersApply properties of intersecting lines, transversals, and anglesCalculate measures of central tendencyCalculate measures of dispersionCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeCompute probabilitiesDetermine, evaluate, and graph functionsEvaluate expressions and formulasIdentify characteristics and properties of circles, triangles, and quadrilateralsPerform operations on matricesSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve financial applications including simple and compound interestSolve linear equationsSolve polynomial equations

relevant

CRIMINAL JUSTICEhighly relevant

minimally relevant



19

CRIMINAL JUSTICESolve rational equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsUse and apply properties of vectorsUse the binomial and normal distributions to determine probabilitiesUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleAdd, subtract, multiply, and divide polynomial expressionsApply properties of integer exponentsApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the Pythagorean theoremApproximate binomial distribution using normal distributionCalculate z-scores and percentile ranksConvert between degree measure and radian measureDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationFactor binomials, trinomials and four-term polynomialsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear equationsGraph linear inequalitiesGraph polynomial functionsGraph quadratic functionsGraph trigonometric functionsIdentify perfect squares and calculate square roots using a calculatorPerform basic operations with complex numbersSimplify radicalsSolve absolute value inequalitiesSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve radical equationsSolve trigonometric equationsUse chi-square testingUse the properties of rational exponentsUtilize trigonometric identities

not relevant

min

imal

ly re

leva

nt



20

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersApply properties of integer exponentsCollect and analyze dataDetermine, evaluate, and graph functionsEvaluate expressions and formulasOperate within and between the U.S. customary and metric systemRead and interpret tables and graphsSolve financial applications including simple and compound interestSolve percent problemsSolve proportion problemsUse scientific notationUse the order of operations (grouping symbols, exponents)Add, subtract, multiply, and divide polynomial expressionsApply properties of intersecting lines, transversals, and anglesApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the Pythagorean theoremApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCalculate measures of central tendencyCalculate measures of dispersionCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeCalculate z-scores and percentile ranksCompute probabilitiesConvert between degree measure and radian measureDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationFactor binomials, trinomials and four-term polynomialsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear equationsGraph linear inequalitiesGraph polynomial functionsGraph quadratic functionsGraph trigonometric functionsIdentify characteristics and properties of circles, triangles, and quadrilateralsIdentify perfect squares and calculate square roots using a calculator

relevant

DENTAL HYGIENEnot relevant



21

DENTAL HYGIENEPerform basic operations with complex numbersPerform common constructions using a straightedge and compassPerform operations on matricesPerform the set operations of union, intersection, and complementationSimplify algebraic expressions (distributive property, combine like terms)Simplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve an equation for a specified variableSolve linear equationsSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsTranslate verbal expressions into algebraic symbols and vice-versaUnderstand the concept of slope as a rate of changeUse and apply properties of vectorsUse chi-square testingUse permutations, combinations, and other counting techniquesUse proportion as applied to similar figuresUse the binomial and normal distributions to determine probabilitiesUse the properties of rational exponentsUse tree diagramsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUse Venn diagrams to illustrate properties of setsUtilize trigonometric identitiesWrite linear equations from tables, graphs, and applications

not relevant



22

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersApply properties of integer exponentsApply properties of intersecting lines, transversals, and anglesApply the Pythagorean theoremCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeEvaluate expressions and formulasFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansIdentify characteristics and properties of circles, triangles, and quadrilateralsIdentify perfect squares and calculate square roots using a calculatorOperate within and between the U.S. customary and metric systemPerform common constructions using a straightedge and compassRead and interpret tables and graphsSimplify algebraic expressions (distributive property, combine like terms)Solve an equation for a specified variableSolve linear equationsSolve oblique triangles using the laws of sine and cosineSolve proportion problemsSolve right trianglesTranslate verbal expressions into algebraic symbols and vice versaUnderstand the concept of slope as a rate of changeUse and apply properties of vectorsUse proportion as applied to similar figuresUse scientific notationUse the order of operations (grouping symbols, exponents)Use trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleGraph linear equationsSolve percent problemsAdd, subtract, multiply, and divide polynomial expressionsConvert between degree measure and radian measureSolve quadratic equationsSolve rational equationsUtilize trigonometric identities

DESIGN TECHNOLOGYhighly relevant

relevant



23

DESIGN TECHNOLOGYDetermine, evaluate, and graph functionsFactor binomials, trinomials and four-term polynomialsGraph circles, parabolas, ellipses, and hyperbolasGraph trigonometric functionsPerform operations on matricesSimplify radicalsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve polynomial equationsSolve systems of equations with three variablesSolve trigonometric equationsUse the properties of rational exponentsApply the properties of logarithms to solve exponential and logarithmic equationsCalculate measures of central tendencyCalculate measures of dispersionCalculate z-scores and percentile ranksCollect and analyze dataGraph polynomial functionsGraph quadratic functionsPerform basic operations with complex numbersPerform the set operations of union, intersection, and complementationSimplify rational expressions including complex fractionsSolve absolute value inequalitiesSolve linear inequalitiesSolve radical equationsSolve systems of linear equations using various matrix methodsUse Venn diagrams to illustrate properties of setsWrite linear equations from tables, graphs, and applicationsApply the properties of complex numbers in rectangular and polar formsApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCompute probabilitiesDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationGraph exponential and logarithmic functionsGraph linear inequalitiesSolve financial applications including simple and compound interestUse chi-square testingUse permutations, combinations, and other counting techniquesUse the binomial and normal distributions to determine probabilitiesUse tree diagrams

minimally relevant

not relevant



24

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersCalculate measures of central tendencyCalculate measures of dispersionCalculate perimeters, areas, and volumes of basic geometric figuresCollect and analyze dataIdentify characteristics and properties of circles, triangles, and quadrilateralsOperate within and between the U.S. customary and metric systemRead and interpret tables and graphsSolve percent problemsSolve proportion problemsUse proportion as applied to similar figuresAdd, subtract, multiply, divide with negative numbersCalculate slopeCompute probabilitiesDetermine, evaluate, and graph functionsEvaluate expressions and formulasGraph linear equationsGraph linear inequalitiesIdentify perfect squares and calculate square roots using a calculatorPerform common constructions using a straightedge and compassPerform the set operations of union, intersection, and complementationSimplify algebraic expressions (distributive property, combine like terms)Solve an equation for a specified variableSolve financial applications including simple and compound interestTranslate verbal expressions into algebraic symbols and vice versaUnderstand the concept of slope as a rate of changeUse permutations, combinations, and other counting techniquesUse scientific notationUse the order of operations (grouping symbols, exponents)Use tree diagramsUse Venn diagrams to illustrate properties of setsWrite linear equations from tables, graphs, and applicationsAdd, subtract, multiply, and divide polynomial expressionsApply properties of integer exponentsApply properties of intersecting lines, transversals, and anglesApply the Pythagorean theoremApply the rules of hypothesis testing for one and two sample populationsCalculate z-scores and percentile ranksDetermine confidence intervalsFactor binomials, trinomials and four-term polynomialsFind the angles of regular polygonsGraph circles, parabolas, ellipses, and hyperbolasGraph quadratic functionsSolve linear equationsSolve linear inequalities

EARLY CHILDHOOD EDUCATIONhighly relevant

relevant

minimally relevant



25

EARLY CHILDHOOD EDUCATIONApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApproximate binomial distribution using normal distributionConvert between degree measure and radian measureDetermine correlation coefficients and predict using linear correlationFind trigonometric function values of any angle expressed in degrees or radiansGraph exponential and logarithmic functionsGraph polynomial functionsGraph trigonometric functionsPerform basic operations with complex numbersPerform operations on matricesSimplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsUse and apply properties of vectorsUse chi-square testingUse the binomial and normal distributions to determine probabilitiesUse the properties of rational exponentsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUtilize trigonometric identities

not relevant



26

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersApply properties of integer exponentsApply properties of intersecting lines, transversals, and anglesApply the Pythagorean theoremCalculate measures of central tendencyCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeCollect and analyze dataCompute probabilitiesEvaluate expressions and formulasFind the angles of regular polygonsGraph linear equationsGraph linear inequalitiesIdentify characteristics and properties of circles, triangles, and quadrilateralsIdentify perfect squares and calculate square roots using a calculatorOperate within and between the U.S. customary and metric systemRead and interpret tables and graphsSolve linear equationsSolve percent problemsSolve proportion problemsSolve right trianglesUnderstand the concept of slope as a rate of changeUse proportion as applied to similar figuresUse the order of operations (grouping symbols, exponents)Use Venn diagrams to illustrate properties of setsAdd, subtract, multiply, and divide polynomial expressionsApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCalculate measures of dispersionCalculate z-scores and percentile ranksDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationDetermine, evaluate, and graph functionsFactor binomials, trinomials and four-term polynomialsGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph polynomial functionsGraph quadratic functions

highly relevant

EDUCATIONminmally relevant



27

EDUCATIONGraph trigonometric functionsPerform basic operations with complex numbersPerform common constructions using a straightedge and compassPerform operations on matricesSimplify algebraic expressions (distributive property, combine like terms)Simplify rational expressions, including complex fractionsSolve an equation for a specified variableSolve oblique triangles using the laws of sine and cosineSolve rational equationsSolve trigonometric equationsUse and apply properties of vectorsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUtilize trigonometric identitiesWrite linear equations from tables, graphs, and applicationsConvert between degree measure and radian measureFind trigonometric function values of any angle expressed in degrees or radiansPerform the set operations of union, intersection, and complementationSimplify radicalsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve financial applications including simple and compound interestSolve linear inequalitiesSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsTranslate verbal expressions into algebraic symbols and vice versaUse chi-square testingUse permutations, combinations, and other counting techniquesUse scientific notationUse the binomial and normal distributions to determine probabilitiesUse the properties of rational exponentsUse tree diagrams

not relevant

minmally relevant



28

Add, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersApply the properties of logarithms to solve exponential and logarithmic equationsCalculate slopeCollect and analyze dataDetermine, evaluate, and graph functionsEvaluate expressions and formulasGraph exponential and logarithmic functionsGraph linear equationsOperate within and between the U.S. customary and metric systemRead and interpret tables and graphsSimplify algebraic expressions (distributive property, combine like terms)Solve an equation for a specified variableSolve proportion problemsTranslate verbal expressions into algebraic symbols and vice versaUnderstand the concept of slope as a rate of changeUse and apply properties of vectorsUse scientific notationUse the order of operations (grouping symbols, exponents)Write linear equations from tables, graphs, and applicationsAdd, subtract, multiply, and divide polynomial expressionsAdd, subtract, multiply, divide fractionsApply properties of integer exponentsApply the properties of complex numbers in rectangular and polar formsCalculate perimeters, areas, and volumes of basic geometric figuresConvert between degree measure and radian measureFactor binomials, trinomials and four-term polynomialsFind trigonometric function values of any angle expressed in degrees or radiansGraph trigonometric functionsIdentify characteristics and properties of circles, triangles, and quadrilateralsIdentify perfect squares and calculate square roots using a calculatorPerform basic operations with complex numbersSimplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve linear equationsSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosine

ELECTRONICS & COMPUTER TECHNOLOGYhighly relevant

relevant



29

ELECTRONICS & COMPUTER TECHNOLOGYSolve percent problemsSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUtilize trigonometric identitiesApply the Pythagorean theoremCalculate measures of central tendencyGraph circles, parabolas, ellipses, and hyperbolasGraph linear inequalitiesGraph polynomial functionsGraph quadratic functionsPerform operations on matricesSolve absolute value inequalitiesUse proportion as applied to similar figuresUse the properties of rational exponentsApply properties of intersecting lines, transversals, and anglesApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCalculate measures of dispersionCalculate z-scores and percentile ranksCompute probabilitiesDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationFind the angles of regular polygonsPerform common constructions using a straightedge and compassPerform the set operations of union, intersection, and complementationSolve financial applications including simple and compound interestUse chi-square testingUse permutations, combinations, and other counting techniquesUse the binomial and normal distributions to determine probabilitiesUse tree diagramsUse Venn diagrams to illustrate properties of sets

not relevant

relevant

minimally

relevant



30

Add, subtract, multiply, and divide polynomial expressionsAdd, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersApply properties of integer exponentsApply properties of intersecting lines, transversals, and anglesApply the properties of logarithms to solve exponential and logarithmic equationsApply the Pythagorean theoremApproximate binomial distribution using normal distributionCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeCalculate z-scores and percentile ranksCollect and analyze dataCompute probabilitiesDetermine correlation coefficients and predict using linear correlationDetermine, evaluate, and graph functionsEvaluate expressions and formulasFactor binomials, trinomials and four-term polynomialsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph linear equationsGraph linear inequalitiesGraph polynomial functionsGraph quadratic functionsGraph trigonometric functionsIdentify characteristics and properties of circles, triangles, and quadrilateralsIdentify perfect squares and calculate square roots using a calculatorOperate within and between the U.S. customary and metric systemPerform basic operations with complex numbersPerform common constructions using a straightedge and compassPerform operations on matricesRead and interpret tables and graphsSimplify algebraic expressions (distributive property, combine like terms)Simplify radicalsSimplify rational expressions, including complex fractions

relevant

ENERGY TECHNOLOGY



31

ENERGY TECHNOLOGYSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve financial applications including simple and compound interestSolve linear equationsSolve polynomial equationsSolve proportion problemsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsUnderstand the concept of slope as a rate of changeUse and apply properties of vectorsUse chi-square testingUse permutations, combinations, and other counting techniquesUse proportion as applied to similar figuresUse scientific notationUse the binomial and normal distributions to determine probabilitiesUse the order of operations (grouping symbols, exponents)Use the properties of rational exponentsUse tree diagramsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUtilize trigonometric identitiesWrite linear equations from tables, graphs, and applicationsApply the properties of complex numbers in rectangular and polar formsApply the rules of hypothesis testing for one and two sample populationsCalculate measures of central tendencyCalculate measures of dispersionConvert between degree measure and radian measureDetermine confidence intervalsGraph exponential and logarithmic functionsPerform the set operations of union, intersection, and complementationSolve an equation for a specified variableSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve percent problemsTranslate verbal expressions into algebraic symbols and vice versaUse Venn diagrams to illustrate properties of sets

relevant

not relevant



32

Add, subtract, multiply, divide whole numbersGraph exponential and logarithmic functionsGraph linear equationsGraph linear inequalitiesGraph quadratic functionsGraph trigonometric functionsPerform basic operations with complex numbersPerform the set operations of union, intersection, and complementationSimplify radicalsSimplify rational expressions, including complex fractionsSolve absolute value equationsSolve linear equationsSolve radical equationsSolve rational equationsSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsUse and apply properties of vectorsUse the binomial and normal distributions to determine probabilitiesUse the properties of rational exponentsUse tree diagramsUse Venn diagrams to illustrate properties of setsWrite linear equations from tables, graphs, and applicationsSolve quadratic equationsSolve right trianglesUse chi-square testingUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleAdd, subtract, multiply, and divide polynomial expressionsApply properties of integer exponentsApply the properties of logarithms to solve exponential and logarithmic equationsApply the Pythagorean theoremApproximate binomial distribution using normal distributionCalculate measures of central tendencyCalculate measures of dispersionCalculate perimeters, areas, and volumes of basic geometric figuresCalculate z-scores and percentile ranksCollect and analyze dataCompute probabilitiesDetermine, evaluate, and graph functionsFactor binomials, trinomials and four-term polynomialsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radians

ENVIRONMENTAL DESIGNhighly relevant

relevant

minimally relevant



33

ENVIRONMENTAL DESIGNGraph circles, parabolas, ellipses, and hyperbolasGraph polynomial functionsIdentify characteristics and properties of circles, triangles, and quadrilateralsIdentify perfect squares and calculate square roots using a calculatorPerform common constructions using a straightedge and compassPerform operations on matricesRead and interpret tables and graphsSimplify algebraic expressions (distributive property, combine like terms)Solve absolute value inequalitiesSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsTranslate verbal expressions into algebraic symbols and vice versaUnderstand the concept of slope as a rate of changeUse permutations, combinations, and other counting techniquesUse proportion as applied to similar figuresUse scientific notationAdd, subtract, multiply, divide fractionsAdd, subtract, multiply, divide with negative numbersApply properties of intersecting lines, transversals, and anglesApply the properties of complex numbers in rectangular and polar formsApply the rules of hypothesis testing for one and two sample populationsCalculate slopeConvert between degree measure and radian measureDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationEvaluate expressions and formulasOperate within and between the U.S. customary and metric systemSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve an equation for a specified variableSolve financial applications including simple and compound interestSolve percent problemsSolve proportion problemsSolve trigonometric equationsUse the order of operations (grouping symbols, exponents)Utilize trigonometric identities

not relevant

minimally relevant



34

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersEvaluate expressions and formulasOperate within and between the U.S. customary and metric systemRead and interpret tables and graphsSolve percent problemsSolve proportion problemsUse proportion as applied to similar figuresAdd, subtract, multiply, divide with negative numbersIdentify perfect squares and calculate square roots using a calculatorPerform common constructions using a straightedge and compassSolve financial applications including simple and compound interestUnderstand the concept of slope as a rate of changeApply properties of intersecting lines, transversals, and anglesApply the rules of hypothesis testing for one and two sample populationsCalculate measures of central tendencyCalculate perimeters, areas, and volumes of basic geometric figuresCollect and analyze dataCompute probabilitiesDetermine, evaluate, and graph functionsPerform the set operations of union, intersection, and complementationSolve an equation for a specified variableSolve linear equationsSolve rational equationsUse chi-square testingUse permutations, combinations, and other counting techniquesUse scientific notationUse the binomial and normal distributions to determine probabilitiesUse the order of operations (grouping symbols, exponents)Use tree diagramsUse Venn diagrams to illustrate properties of setsAdd, subtract, multiply, and divide polynomial expressionsApply properties of integer exponentsApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the Pythagorean theoremApproximate binomial distribution using normal distributionCalculate measures of dispersionCalculate slopeCalculate z-scores and percentile ranksConvert between degree measure and radian measureDetermine confidence intervals

highly relevant

relevant

minimally relevant

HEALTH CARE SUPPORTnot relevant



35

HEALTH CARE SUPPORTDetermine correlation coefficients and predict using linear correlationFactor binomials, trinomials and four-term polynomialsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear equationsGraph linear inequalitiesGraph polynomial functionsGraph quadratic functionsGraph trigonometric functionsIdentify characteristics and properties of circles, triangles, and quadrilateralsPerform basic operations with complex numbersPerform operations on matricesSimplify algebraic expressions (distributive property, combine like terms)Simplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsTranslate verbal expressions into algebraic symbols and vice versaUse and apply properties of vectorsUse the properties of rational exponentsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUtilize trigonometric identitiesWrite linear equations from tables, graphs, and applications

not relevant



36

Add, subtract, multiply, divide fractions Add, subtract, multiply, divide whole numbers Add, subtract, multiply, divide with negative numbers Apply the rules of hypothesis testing for one and two sample populations Approximate binomial distribution using normal distribution Calculate measures of central tendency Calculate measures of dispersion Calculate perimeters, areas, and volumes of basic geometric figures Calculate slope Calculate z-scores and percentile ranks Collect and analyze data Compute probabilities Determine confidence intervals Determine correlation coefficients and predict using linear correlation Evaluate expressions and formulas Identify characteristics and properties of circles, triangles, and quadrilaterals Identify perfect squares and calculate square roots using a calculator Operate within and between the U.S. customary and metric system Perform the set operations of union, intersection, and complementation Read and interpret tables and graphs Simplify algebraic expressions (distributive property, combine like terms) Solve an equation for a specified variable Solve financial applications including simple and compound interest Solve percent problems Solve proportion problems Translate verbal expressions into algebraic symbols and vice versa Understand the concept of slope as a rate of change Use chi-square testing Use permutations, combinations, and other counting techniques Use proportion as applied to similar figures Use scientific notation Use the binomial and normal distributions to determine probabilities Use the order of operations (grouping symbols, exponents) Use tree diagrams Use Venn diagrams to illustrate properties of sets

rele

vant

HEALTH INFORMATION TECHNOLOGY



37

HEALTH INFORMATION TECHNOLOGY Add, subtract, multiply, and divide polynomial expressions Apply properties of integer exponents Apply properties of intersecting lines, transversals, and angles Apply the properties of complex numbers in rectangular and polar forms Apply the properties of logarithms to solve exponential and logarithmic equations Apply the Pythagorean theorem Convert between degree measure and radian measure Determine, evaluate, and graph functions Factor binomials, trinomials and four-term polynomials Find the angles of regular polygons Find trigonometric function values of any angle expressed in degrees or radians Graph circles, parabolas, ellipses, and hyperbolas Graph exponential and logarithmic functions Graph linear equations Graph linear inequalities Graph polynomial functions Graph quadratic functions Graph trigonometric functions Perform basic operations with complex numbers Perform common constructions using a straightedge and compass Perform operations on matrices Simplify radicals Simplify rational expressions, including complex fractions Solve 2 x 2 systems of equations graphically and by substitution and elimination Solve absolute value equations Solve absolute value inequalities Solve linear equations Solve linear inequalities Solve oblique triangles using the laws of sine and cosine Solve polynomial equations Solve quadratic equations Solve radical equations Solve rational equations Solve right triangles Solve systems of equations with three variables Solve systems of linear equations using various matrix methods Solve trigonometric equations Use and apply properties of vectors Use the properties of rational exponents Use trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angle Utilize trigonometric identities Write linear equations from tables, graphs, and applications

not

rele

vant



38

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersOperate within and between the U.S. customary and metric systemRead and interpret tables and graphsSolve percent problemsSolve proportion problemsTranslate verbal expressions into algebraic symbols and vice versaCalculate perimeters, areas, and volumes of basic geometric figuresCollect and analyze dataEvaluate expressions and formulasSolve financial applications including simple and compound interestAdd, subtract, multiply, divide with negative numbersCalculate measures of central tendencyCalculate z-scores and percentile ranksCompute probabilitiesDetermine, evaluate, and graph functionsGraph linear equationsIdentify characteristics and properties of circles, triangles, and quadrilateralsIdentify perfect squares and calculate square roots using a calculatorPerform the set operations of union, intersection, and complementationSolve an equation for a specified variableUnderstand the concept of slope as a rate of changeUse permutations, combinations, and other counting techniquesUse proportion as applied to similar figuresUse Venn diagrams to illustrate properties of setsWrite linear equations from tables, graphs, and applicationsAdd, subtract, multiply, and divide polynomial expressionsApply properties of integer exponentsApply properties of intersecting lines, transversals, and anglesApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the Pythagorean theoremApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCalculate measures of dispersionCalculate slopeConvert between degree measure and radian measureDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationFactor binomials, trinomials and four-term polynomialsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radians

HOSPITALITY ADMINISTRATIONhighly relevant

relevant

minimally relevant

not relevant



39

HOSPITALITY ADMINISTRATIONGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear inequalitiesGraph polynomial functionsGraph quadratic functionsGraph trigonometric functionsPerform basic operations with complex numbersPerform common constructions using a straightedge and compassPerform operations on matricesSimplify algebraic expressions (distributive property, combine like terms)Simplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve linear equationsSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsUse and apply properties of vectorsUse chi-square testingUse scientific notationUse the binomial and normal distributions to determine probabilitiesUse the order of operations (grouping symbols, exponents)Use the properties of rational exponentsUse tree diagramsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUtilize trigonometric identities

not relevant



40

Solve percent problemsSolve proportion problemsAdd, subtract, multiply, divide whole numbersApply the rules of hypothesis testing for one and two sample populationsCalculate measures of central tendencyCollect and analyze dataOperate within and between the U.S. customary and metric systemRead and interpret tables and graphsSolve an equation for a specified variableSolve financial applications including simple and compound interestAdd, subtract, multiply, divide fractionsPerform operations on matricesSimplify algebraic expressions (distributive property, combine like terms)Solve absolute value equationsSolve linear equationsSolve systems of linear equations using various matrix methodsTranslate verbal expressions into algebraic symbols and vice versaUse permutations, combinations, and other counting techniquesUse proportion as applied to similar figuresUse the order of operations (grouping symbols, exponents)Add, subtract, multiply, and divide polynomial expressionsAdd, subtract, multiply, divide with negative numbersApply properties of integer exponentsApply properties of intersecting lines, transversals, and anglesApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the Pythagorean theoremApproximate binomial distribution using normal distributionCalculate measures of dispersionCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeCalculate z-scores and percentile ranksCompute probabilitiesConvert between degree measure and radian measureDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationDetermine, evaluate, and graph functionsEvaluate expressions and formulasFactor binomials, trinomials and four-term polynomials

HUMAN SERVICEShighly relevant

relevant

minimally relevant

not relevant



41

HUMAN SERVICESFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear equationsGraph linear inequalitiesGraph polynomial functionsGraph quadratic functionsGraph trigonometric functionsIdentify characteristics and properties of circles, triangles, and quadrilateralsIdentify perfect squares and calculate square roots using a calculatorPerform basic operations with complex numbersPerform common constructions using a straightedge and compassPerform the set operations of union, intersection, and complementationSimplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value inequalitiesSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve right trianglesSolve systems of equations with three variablesSolve trigonometric equationsUnderstand the concept of slope as a rate of changeUse and apply properties of vectorsUse chi-square testingUse scientific notationUse the binomial and normal distributions to determine probabilitiesUse the properties of rational exponentsUse tree diagramsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUse Venn diagrams to illustrate properties of setsUtilize trigonometric identitiesWrite linear equations from tables, graphs, and applications

not relevant



42

Apply the properties of logarithms to solve exponential and logarithmic equationsCalculate perimeters, areas, and volumes of basic geometric figuresCalculate z-scores and percentile ranksCompute probabilitiesEvaluate expressions and formulasGraph linear inequalitiesGraph quadratic functionsIdentify characteristics and properties of circles, triangles, and quadrilateralsOperate within and between the U.S. customary and metric systemSolve absolute value inequalitiesSolve financial applications including simple and compound interestUse the binomial and normal distributions to determine probabilitiesUse tree diagramsAdd, subtract, multiply, divide with negative numbersAdd, subtract, multiply, divide whole numbersApply properties of integer exponentsConvert between degree measure and radian measureDetermine, evaluate, and graph functionsGraph linear equationsIdentify perfect squares and calculate square roots using a calculatorPerform basic operations with complex numbersSolve linear equationsSolve proportion problemsSolve rational equationsSolve trigonometric equationsUse the properties of rational exponentsApply the Pythagorean theoremApproximate binomial distribution using normal distributionGraph exponential and logarithmic functionsGraph polynomial functionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve an equation for a specified variableSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve percent problemsSolve polynomial equations

INDUSTRIAL TECHNOLOGYhighly relevant

relevant

minimally relevant



43

INDUSTRIAL TECHNOLOGYSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsUnderstand the concept of slope as a rate of changeUse chi-square testingUse scientific notationUse the order of operations (grouping symbols, exponents)Use trigonometric tables and calculators to find sine, cosine, and tangent of an angle Write linear equations from tables, graphs, and applicationsAdd, subtract, multiply, and divide polynomial expressionsAdd, subtract, multiply, divide fractionsApply properties of intersecting lines, transversals, and anglesApply the properties of complex numbers in rectangular and polar formsApply the rules of hypothesis testing for one and two sample populationsCalculate measures of central tendencyCalculate measures of dispersionCalculate slopeCollect and analyze dataDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationFactor binomials, trinomials and four-term polynomialsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph trigonometric functionsPerform common constructions using a straightedge and compassPerform operations on matricesPerform the set operations of union, intersection, and complementationRead and interpret tables and graphsSimplify algebraic expressions (distributive property, combine like terms)Simplify radicalsSimplify rational expressions, including complex fractionsSolve absolute value equationsSolve quadratic equationsSolve radical equationsTranslate verbal expressions into algebraic symbols and vice versaUse and apply properties of vectorsUse permutations, combinations, and other counting techniquesUse proportion as applied to similar figuresUse Venn diagrams to illustrate properties of setsUtilize trigonometric identities

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minimally

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44

Add, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersApply properties of integer exponentsApply the Pythagorean theoremCalculate perimeters, areas, and volumes of basic geometric figuresCollect and analyze dataCompute probabilitiesEvaluate expressions and formulasPerform basic operations with complex numbersAdd, subtract, multiply, divide fractionsApply the rules of hypothesis testing for one and two sample populationsCalculate measures of central tendencyCalculate measures of dispersionCalculate slopeCalculate z-scores and percentile ranksConvert between degree measure and radian measureDetermine confidence intervalsDetermine, evaluate, and graph functionsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansGraph linear equationsIdentify characteristics and properties of circles, triangles, and quadrilateralsIdentify perfect squares and calculate square roots using a calculatorOperate within and between the U.S. customary and metric systemAdd, subtract, multiply, and divide polynomial expressionsApply properties of intersecting lines, transversals, and anglesApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApproximate binomial distribution using normal distributionFactor binomials, trinomials and four-term polynomialsGraph circles, parabolas, ellipses, and hyperbolasGraph linear inequalitiesGraph polynomial functionsGraph quadratic functionsRead and interpret tables and graphsSolve percent problemsUnderstand the concept of slope as a rate of changeUse the order of operations (grouping symbols, exponents)Use tree diagrams

relevant

minimally relevant

INFORMATION SECURITYhighly relevant



45

INFORMATION SECURITYDetermine correlation coefficients and predict using linear correlationGraph exponential and logarithmic functionsGraph trigonometric functionsPerform common constructions using a straightedge and compassPerform operations on matricesPerform the set operations of union, intersection, and complementationSimplify algebraic expressions (distributive property, combine like terms)Simplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve an equation for a specified variableSolve financial applications including simple and compound interestSolve linear equationsSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve proportion problemsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsTranslate verbal expressions into algebraic symbols and vice versaUse and apply properties of vectorsUse chi-square testingUse permutations, combinations, and other counting techniquesUse proportion as applied to similar figuresUse scientific notationUse the binomial and normal distributions to determine probabilitiesUse the properties of rational exponentsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUse Venn diagrams to illustrate properties of setsUtilize trigonometric identitiesWrite linear equations from tables, graphs, and applications

not relevant



46

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersCollect and analyze dataRead and interpret tables and graphsSolve percent problemsOperate within and between the U.S. customary and metric systemSolve financial applications including simple and compound interestAdd, subtract, multiply, divide with negative numbersApply properties of intersecting lines, transversals, and anglesApply the rules of hypothesis testing for one and two sample populationsCalculate measures of central tendencyCalculate measures of dispersionCalculate perimeters, areas, and volumes of basic geometric figuresCompute probabilitiesDetermine, evaluate, and graph functionsGraph linear equationsPerform common constructions using a straightedge and compassUse Venn diagrams to illustrate properties of setsAdd, subtract, multiply, and divide polynomial expressionsApply properties of integer exponentsApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the Pythagorean theoremApproximate binomial distribution using normal distributionCalculate slopeCalculate z-scores and percentile ranksConvert between degree measure and radian measureDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationEvaluate expressions and formulasFactor binomials, trinomials and four-term polynomialsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear inequalitiesGraph polynomial functionsGraph quadratic functionsGraph trigonometric functionsIdentify characteristics and properties of circles, triangles, and quadrilateralsIdentify perfect squares and calculate square roots using a calculatorPerform basic operations with complex numbers

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relevant

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LIBRARY TECHNICAL ASSISTANTno

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LIBRARY TECHNICAL ASSISTANTPerform operations on matricesPerform the set operations of union, intersection, and complementationSimplify algebraic expressions (distributive property, combine like terms)Simplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve an equation for a specified variableSolve linear equationsSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve proportion problemsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsTranslate verbal expressions into algebraic symbols and vice versaUnderstand the concept of slope as a rate of changeUse and apply properties of vectorsUse chi-square testingUse permutations, combinations, and other counting techniquesUse proportion as applied to similar figuresUse scientific notationUse the binomial and normal distributions to determine probabilitiesUse the order of operations (grouping symbols, exponents)Use the properties of rational exponentsUse tree diagramsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUtilize trigonometric identitiesWrite linear equations from tables, graphs, and applications

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Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersApply properties of intersecting lines, transversals, and anglesApply the Pythagorean theoremCalculate perimeters, areas, and volumes of basic geometric figuresEvaluate expressions and formulasFind the angles of regular polygonsIdentify characteristics and properties of circles, triangles, and quadrilateralsIdentify perfect squares and calculate square roots using a calculatorOperate within and between the U.S. customary and metric systemPerform common constructions using a straightedge and compassRead and interpret tables and graphsSolve an equation for a specified variableSolve linear equationsSolve percent problemsSolve proportion problemsSolve right trianglesUse proportion as applied to similar figuresUse the order of operations (grouping symbols, exponents)Use trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleApply properties of integer exponentsApply the properties of complex numbers in rectangular and polar formsConvert between degree measure and radian measureFind trigonometric function values of any angle expressed in degrees or radiansPerform the set operations of union, intersection, and complementationSimplify algebraic expressions (distributive property, combine like terms)Solve financial applications including simple and compound interestSolve oblique triangles using the laws of sine and cosineSolve trigonometric equationsTranslate verbal expressions into algebraic symbols and vice versaUnderstand the concept of slope as a rate of changeUse scientific notationUse Venn diagrams to illustrate properties of setsUtilize trigonometric identities

highly relevant

relevant

MACHINE TOOL TECHNOLOGY



49

MACHINE TOOL TECHNOLOGYAdd, subtract, multiply, and divide polynomial expressionsApply the properties of logarithms to solve exponential and logarithmic equationsApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCalculate measures of central tendencyCalculate measures of dispersionCalculate slopeCalculate z-scores and percentile ranksCollect and analyze dataCompute probabilitiesDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationDetermine, evaluate, and graph functionsFactor binomials, trinomials and four-term polynomialsGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear equationsGraph linear inequalitiesGraph polynomial functionsGraph quadratic functionsGraph trigonometric functionsPerform basic operations with complex numbersPerform operations on matricesSimplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve linear inequalitiesSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsUse and apply properties of vectorsUse chi-square testingUse permutations, combinations, and other counting techniquesUse the binomial and normal distributions to determine probabilitiesUse the properties of rational exponentsUse tree diagramsWrite linear equations from tables, graphs, and applications

not relevant



50

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersApply properties of integer exponentsApply the rules of hypothesis testing for one and two sample populationsCalculate measures of central tendencyCalculate measures of dispersionCalculate z-scores and percentile ranksCollect and analyze dataCompute probabilitiesDetermine confidence intervalsDetermine, evaluate, and graph functionsEvaluate expressions and formulasOperate within and between the U.S. customary and metric systemRead and interpret tables and graphsSolve an equation for a specified variableSolve financial applications including simple and compound interestSolve percent problemsSolve proportion problemsTranslate verbal expressions into algebraic symbols and vice versaUnderstand the concept of slope as a rate of changeUse scientific notationUse the order of operations (grouping symbols, exponents)Use tree diagramsAdd, subtract, multiply, and divide polynomial expressionsApply properties of intersecting lines, transversals, and anglesApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the Pythagorean theoremApproximate binomial distribution using normal distributionCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeConvert between degree measure and radian measureDetermine correlation coefficients and predict using linear correlationFactor binomials, trinomials and four-term polynomialsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear equationsGraph linear inequalitiesGraph polynomial functions

MEDICAL ASSISTINGre

leva

ntno

t re

leva

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51

MEDICAL ASSISTINGGraph quadratic functionsGraph trigonometric functionsIdentify characteristics and properties of circles, triangles, and quadrilateralsIdentify perfect squares and calculate square roots using a calculatorPerform basic operations with complex numbersPerform common constructions using a straightedge and compassPerform operations on matricesPerform the set operations of union, intersection, and complementationSimplify algebraic expressions (distributive property, combine like terms)Simplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve linear equationsSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsUse and apply properties of vectorsUse chi-square testingUse permutations, combinations, and other counting techniquesUse proportion as applied to similar figuresUse the binomial and normal distributions to determine probabilitiesUse the properties of rational exponentsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUse Venn diagrams to illustrate properties of setsUtilize trigonometric identitiesWrite linear equations from tables, graphs, and applications

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vant



52

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersApply the properties of logarithms to solve exponential and logarithmic equationsApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCalculate measures of central tendencyCalculate measures of dispersionCalculate z-scores and percentile ranksCollect and analyze dataCompute probabilitiesDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationEvaluate expressions and formulasIdentify perfect squares and calculate square roots using a calculatorOperate within and between the U.S. customary and metric systemSimplify algebraic expressions (distributive property, combine like terms)Solve an equation for a specified variableSolve linear equationsSolve percent problemsSolve proportion problemsTranslate verbal expressions into algebraic symbols and vice versaUse chi-square testingUse permutations, combinations, and other counting techniquesUse scientific notationUse the binomial and normal distributions to determine probabilitiesUse tree diagramsAdd, subtract, multiply, and divide polynomial expressionsApply properties of integer exponentsApply properties of intersecting lines, transversals, and anglesApply the properties of complex numbers in rectangular and polar formsApply the Pythagorean theoremCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeConvert between degree measure and radian measureDetermine, evaluate, and graph functionsFactor binomials, trinomials and four-term polynomialsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear equations

relevant

MEDICAL LABORATORY TECHNICIANnot relevant



53

MEDICAL LABORATORY TECHNICIANGraph linear inequalitiesGraph polynomial functionsGraph quadratic functionsGraph trigonometric functionsIdentify characteristics and properties of circles, triangles, and quadrilateralsPerform basic operations with complex numbersPerform common constructions using a straightedge and compassPerform operations on matricesPerform the set operations of union, intersection, and complementationRead and interpret tables and graphsSimplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve financial applications including simple and compound interestSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsUnderstand the concept of slope as a rate of changeUse and apply properties of vectorsUse proportion as applied to similar figuresUse the order of operations (grouping symbols, exponents)Use the properties of rational exponentsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUse Venn diagrams to illustrate properties of setsUtilize trigonometric identitiesWrite linear equations from tables, graphs, and applications

not relevant



54

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersCalculate measures of central tendencyCollect and analyze dataIdentify perfect squares and calculate square roots using a calculatorOperate within and between the U.S. customary and metric systemRead and interpret tables and graphsSimplify algebraic expressions (distributive property, combine like terms)Simplify rational expressions, including complex fractionsSolve an equation for a specified variableSolve financial applications including simple and compound interestSolve percent problemsSolve proportion problemsSolve rational equationsTranslate verbal expressions into algebraic symbols and vice versaUse the order of operations (grouping symbols, exponents)Add, subtract, multiply, and divide polynomial expressionsApply properties of integer exponentsApply properties of intersecting lines, transversals, and anglesApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the Pythagorean theoremApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCalculate measures of dispersionCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeCalculate z-scores and percentile ranksCompute probabilitiesConvert between degree measure and radian measureDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationDetermine, evaluate, and graph functionsEvaluate expressions and formulasFactor binomials, trinomials and four-term polynomialsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear equationsGraph linear inequalities

not relevant

highly relevant

relevant

OFFICE ADMINISTRATION



55

OFFICE ADMINISTRATIONGraph polynomial functionsGraph quadratic functionsGraph trigonometric functionsIdentify characteristics and properties of circles, triangles, and quadrilateralsPerform basic operations with complex numbersPerform common constructions using a straightedge and compassPerform operations on matricesPerform the set operations of union, intersection, and complementationSimplify radicalsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve linear equationsSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsUnderstand the concept of slope as a rate of changeUse and apply properties of vectorsUse chi-square testingUse permutations, combinations, and other counting techniquesUse proportion as applied to similar figuresUse scientific notationUse the binomial and normal distributions to determine probabilitiesUse the properties of rational exponentsUse tree diagramsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUse Venn diagrams to illustrate properties of setsUtilize trigonometric identitiesWrite linear equations from tables, graphs, and applications

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56

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersCalculate measures of central tendencyCollect and analyze dataCompute probabilitiesOperate within and between the U.S. customary and metric systemRead and interpret tables and graphsSolve financial applications including simple and compound interestSolve linear equationsSolve percent problemsSolve proportion problemsUse the binomial and normal distributions to determine probabilitiesUse the order of operations (grouping symbols, exponents)Add, subtract, multiply, and divide polynomial expressionsApply properties of integer exponentsApply properties of intersecting lines, transversals, and anglesApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the Pythagorean theoremApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCalculate measures of dispersionCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeCalculate z-scores and percentile ranksConvert between degree measure and radian measureDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationDetermine, evaluate, and graph functionsEvaluate expressions and formulasFactor binomials, trinomials and four-term polynomialsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear equationsGraph linear inequalitiesGraph polynomial functionsGraph quadratic functionsGraph trigonometric functionsIdentify characteristics and properties of circles, triangles, and quadrilaterals

relevant

PARALEGAL STUDIESnot relevant



57

PARALEGAL STUDIESIdentify perfect squares and calculate square roots using a calculatorPerform basic operations with complex numbersPerform common constructions using a straightedge and compassPerform operations on matricesPerform the set operations of union, intersection, and complementationSimplify algebraic expressions (distributive property, combine like terms)Simplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve an equation for a specified variableSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsTranslate verbal expressions into algebraic symbols and vice versaUnderstand the concept of slope as a rate of changeUse and apply properties of vectorsUse permutations, combinations, and other counting techniquesUse proportion as applied to similar figuresUse the properties of rational exponentsUse tree diagramsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUse Venn diagrams to illustrate properties of setsUtilize trigonometric identitiesUse chi-square testingUse scientific notationWrite linear equations from tables, graphs, and applications

not relevant



58

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersEvaluate expressions and formulasOperate within and between the U.S. customary and metric systemAdd, subtract, multiply, and divide polynomial expressionsAdd, subtract, multiply, divide with negative numbersApply properties of integer exponentsCalculate measures of central tendencyCalculate measures of dispersionCalculate z-scores and percentile ranksCollect and analyze dataCompute probabilitiesDetermine confidence intervalsFactor binomials, trinomials and four-term polynomialsPerform basic operations with complex numbersPerform common constructions using a straightedge and compassRead and interpret tables and graphsSolve an equation for a specified variableSolve financial applications including simple and compound interestSolve percent problemsSolve proportion problemsTranslate verbal expressions into algebraic symbols and viceversaUnderstand the concept of slope as a rate of changeUse the order of operations (grouping symbols, exponents)Apply properties of intersecting lines, transversals, and anglesApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the Pythagorean theoremApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeConvert between degree measure and radian measureDetermine correlation coefficients and predict using linear correlationDetermine, evaluate, and graph functionsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear equationsGraph linear inequalitiesGraph polynomial functions

not relevant

highly

relevant

PARAMEDIC SCIENCErelevant



59

PARAMEDIC SCIENCEGraph quadratic functionsGraph trigonometric functionsIdentify characteristics and properties of circles, triangles, and quadrilateralsIdentify perfect squares and calculate square roots using a calculatorPerform operations on matricesPerform the set operations of union, intersection, and complementationSimplify algebraic expressions (distributive property, combine like terms)Simplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve linear equationsSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsUse and apply properties of vectorsUse chi-square testingUse permutations, combinations, and other counting techniquesUse proportion as applied to similar figuresUse scientific notationUse the binomial and normal distributions to determine probabilitiesUse the properties of rational exponentsUse tree diagramsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUse Venn diagrams to illustrate properties of setsUtilize trigonometric identitiesWrite linear equations from tables, graphs, and applications

not relevant



60

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersCollect and analyze dataEvaluate expressions and formulasOperate within and between the U.S. customary and metric systemRead and interpret tables and graphsSimplify algebraic expressions (distributive property, combine like terms)Solve an equation for a specified variableSolve linear equationsSolve linear inequalitiesSolve percent problemsSolve proportion problemsTranslate verbal expressions into algebraic symbols and vice versaUse scientific notationUse the order of operations (grouping symbols, exponents)Add, subtract, multiply, and divide polynomial expressionsApply properties of integer exponentsApply properties of intersecting lines, transversals, and anglesApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the Pythagorean theoremApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCalculate measures of central tendencyCalculate measures of dispersionCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeCalculate z-scores and percentile ranksCompute probabilitiesConvert between degree measure and radian measureDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationDetermine, evaluate, and graph functionsFactor binomials, trinomials and four-term polynomialsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear equationsGraph linear inequalitiesGraph polynomial functions

RESPIRATORY CARErelevant

not relevant



61

RESPIRATORY CAREGraph quadratic functionsGraph trigonometric functionsIdentify characteristics and properties of circles, triangles, and quadrilateralsIdentify perfect squares and calculate square roots using a calculatorPerform basic operations with complex numbersPerform common constructions using a straightedge and compassPerform operations on matricesPerform the set operations of union, intersection, and complementationSimplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve financial applications including simple and compound interestSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve quadratic equations Solve radical equationsSolve rational equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsUnderstand the concept of slope as a rate of changeUse and apply properties of vectorsUse chi-square testingUse permutations, combinations, and other counting techniquesUse proportion as applied to similar figuresUse the binomial and normal distributions to determine probabilitiesUse the properties of rational exponentsUse tree diagramsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUse Venn diagrams to illustrate properties of sets Utilize trigonometric identitiesWrite linear equations from tables, graphs, and applications

not relevant



62

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersOperate within and between the U.S. customary and metric systemRead and interpret tables and graphsSimplify algebraic expressions (distributive property, combine like terms)Solve an equation for a specified variableSolve linear equationsSolve linear inequalitiesSolve percent problemsSolve proportion problemsUse scientific notationUse the order of operations (grouping symbols, exponents)Add, subtract, multiply, and divide polynomial expressionsAdd, subtract, multiply, divide with negative numbersApply properties of integer exponentsApply properties of intersecting lines, transversals, and anglesApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the Pythagorean theoremApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCalculate measures of central tendencyCalculate measures of dispersionCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeCalculate z-scores and percentile ranksCollect and analyze dataCompute probabilitiesConvert between degree measure and radian measureDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationDetermine, evaluate, and graph functionsEvaluate expressions and formulasFactor binomials, trinomials and four-term polynomialsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degree or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear equationsGraph linear inequalitiesGraph polynomial functionsGraph quadratic functions

relevant

SURGICAL TECHNOLOGYnot relevant



63

SURGICAL TECHNOLOGYGraph trigonometric functionsIdentify characteristics and properties of circles, triangles, and quadrilateralsIdentify perfect squares and calculate square roots using a calculatorPerform basic operations with complex numbersPerform common constructions using a straightedge and compassPerform operations on matricesPerform the set operations of union, intersection, and complementationSimplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve financial applications including simple and compound interestSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsTranslate verbal expressions into algebraic symbols and vice versaUnderstand the concept of slope as a rate of changeUse and apply properties of vectorsUse chi-square testingUse permutations, combinations, and other counting techniquesUse proportion as applied to similar figuresUse the binomial and normal distributions to determine probabilitiesUse the properties of rational exponentsUse tree diagramsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUse Venn diagrams to illustrate properties of setsUtilize trigonometric identitiesWrite linear equations from tables, graphs, and applications

not relevant



64

Add, subtract, multiply, divide fractionsAdd, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersEvaluate expressions and formulasOperate within and between the U.S. customary and metric systemSolve an equation for a specified variableSolve percent problemsSolve proportion problemsTranslate verbal expressions into algebraic symbols and vice versaUse the order of operations (grouping symbols, exponents)Add, subtract, multiply, and divide polynomial expressionsApply properties of integer exponentsApply properties of intersecting lines, transversals, and anglesApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsApply the Pythagorean theoremApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCalculate measures of central tendencyCalculate measures of dispersionCalculate perimeters, areas, and volumes of basic geometric figuresCalculate slopeCalculate z-scores and percentile ranksCollect and analyze dataCompute probabilitiesConvert between degree measure and radian measureDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationDetermine, evaluate, and graph functionsFactor binomials, trinomials and four-term polynomialsFind the angles of regular polygonsFind trigonometric function values of any angle expressed in degrees or radiansGraph circles, parabolas, ellipses, and hyperbolasGraph exponential and logarithmic functionsGraph linear equationsGraph linear inequalitiesGraph polynomial functionsGraph quadratic functionsGraph trigonometric functionsIdentify characteristics and properties of circles, triangles, and quadrilateralsIdentify perfect squares and calculate square roots using a calculatorPerform basic operations with complex numbers

relevant

THERAPEUTIC MASSAGEnot relevant



65

THERAPEUTIC MASSAGEPerform common constructions using a straightedge and compassPerform operations on matricesPerform the set operations of union, intersection, and complementationRead and interpret tables and graphsSimplify algebraic expressions (distributive property, combine like terms)Simplify radicalsSimplify rational expressions, including complex fractionsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value equationsSolve absolute value inequalitiesSolve financial applications including simple and compound interestSolve linear equationsSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve polynomial equationsSolve quadratic equationsSolve radical equationsSolve rational equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsUnderstand the concept of slope as a rate of changeUse and apply properties of vectorsUse chi-square testingUse permutations, combinations, and other counting techniquesUse proportion as applied to similar figuresUse scientific notationUse the binomial and normal distributions to determine probabilitiesUse the properties of rational exponentsUse tree diagramsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUse Venn diagrams to illustrate properties of setsUtilize trigonometric identitiesWrite linear equations from tables, graphs, and applications

not relevant



66

Add, subtract, multiply, divide whole numbersAdd, subtract, multiply, divide with negative numbersApply properties of intersecting lines, transversals, and anglesIdentify characteristics and properties of circles, triangles, and quadrilateralsAdd, subtract, multiply, divide fractionsApply the Pythagorean theoremCalculate perimeters, areas, and volumes of basic geometric figuresCollect and analyze dataGraph linear equationsOperate within and between the U.S. customary and metric systemSolve an equation for a specified variableSolve percent problemsSolve proportion problemsUse scientific notationApply the rules of hypothesis testing for one and two sample populationsApproximate binomial distribution using normal distributionCalculate measures of central tendencyCalculate measures of dispersionCalculate slopeCalculate z-scores and percentile ranksCompute probabilitiesDetermine confidence intervalsDetermine correlation coefficients and predict using linear correlationDetermine, evaluate, and graph functionsEvaluate expressions and formulasFind the angles of regular polygonsGraph circles, parabolas, ellipses, and hyperbolasGraph linear inequalitiesIdentify perfect squares and calculate square roots using a calculatorPerform basic operations with complex numbersSimplify algebraic expressions (distributive property, combine like terms)Simplify rational expressions, including complex fractionsSolve absolute value equationsSolve financial applications including simple and compound interestSolve polynomial equationsSolve quadratic equationsSolve rational equationsTranslate verbal expressions into algebraic symbols and vice versaUse the order of operations (grouping symbols, exponents)

highly

relevant

relevant

minimally relevant

VISUAL COMMUNICATIONS



67

VISUAL COMMUNICATIONSAdd, subtract, multiply, and divide polynomial expressionsApply properties of integer exponentsApply the properties of complex numbers in rectangular and polar formsApply the properties of logarithms to solve exponential and logarithmic equationsConvert between degree measure and radian measureFactor binomials, trinomials and four-term polynomialsFind trigonometric function values of any angle expressed in degrees or radiansGraph exponential and logarithmic functionsGraph polynomial functionsGraph quadratic functionsGraph trigonometric functionsPerform common constructions using a straightedge and compassPerform operations on matricesPerform the set operations of union, intersection, and complementationRead and interpret tables and graphsSimplify radicalsSolve 2 x 2 systems of equations graphically and by substitution and eliminationSolve absolute value inequalitiesSolve linear equationsSolve linear inequalitiesSolve oblique triangles using the laws of sine and cosineSolve radical equationsSolve right trianglesSolve systems of equations with three variablesSolve systems of linear equations using various matrix methodsSolve trigonometric equationsUnderstand the concept of slope as a rate of changeUse and apply properties of vectorsUse chi-square testingUse permutations, combinations, and other counting techniquesUse proportion as applied to similar figuresUse the binomial and normal distributions to determine probabilitiesUse the properties of rational exponentsUse tree diagramsUse trigonometric tables and calculators to find sine, cosine, and tangent of an angle and use the inverse functions to find an angleUse Venn diagrams to illustrate properties of setsUtilize trigonometric identitiesWrite linear equations from tables, graphs, and applications

not relevant



68




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What Students Need to Know · PDF fileWhat Students Need to Know: ... to provide proper acknowledgement of original sources, and to ... Add,subtract,multiply,dividefractions