Chapter 11 Resource Masters - Commack Schools
Chapter 11 Resource MastersBothell, WA Chicago, IL Columbus, OH New York, NY
CONSUMABLE WORKBOOKS Many of the worksheets contained in the Chapter Resource Mastersbooklets are available as consumable workbooks in both English and Spanish.Study Guide and Intervention WorkbookHomework Practice -660292-6978-0-07-660291-9Spanish VersionHomework Practice Workbook0-07-660294-X978-0-07-660294-0Answers For Workbooks The answers for Chapter 11 of these workbooks can be found in theback of this Chapter Resource Masters booklet.ConnectED All of the materials found in this booklet are included for viewing, printing, and editing atconnected.mcgraw-hill.com.Spanish Assessment Masters (MHID: 0-07-660289-3, ISBN: 978-0-07-660289-6) These masterscontain a Spanish version of Chapter 11 Test Form 2A and Form 2C.connected.mcgraw-hill.comAll rights reserved. The contents, or parts thereof, may bereproduced in print form for non-profit educational use withGlencoe Algebra 1, provided such reproductions bear copyrightnotice, but may not be reproduced in any form for any otherpurpose without the prior written consent of The McGraw-HillCompanies, Inc., including, but not limited to, network storageor transmission, or broadcast for distance learning.Send all inquiries to:McGraw-Hill Education8787 Orion PlaceColumbus, OH 43240ISBN: 978-0-07-660285-8MHID: 0-07-660285-0Printed in the United States of America.1 2 3 4 5 6 7 8 9 10 DOH 16 15 14 13 12 11Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Copyright by The McGraw-Hill Companies, Inc.
ContentsTeacher’s Guide to Using the Chapter 11Resource Masters .ivChapter 11 Student-Built Glossary . 1Chapter 11 Anticipation Guide (English). 3Chapter 11 Anticipation Guide (Spanish) . 4Adding and Subtracting Rational ExpressionsStudy Guide and Intervention . 37Skills Practice . 39Practice . 40Word Problem Practice . 41Enrichment . 42Lesson 11-1Lesson 11-7Inverse VariationStudy Guide and Intervention . 5Skills Practice . 7Practice . 8Word Problem Practice . 9Enrichment . 10Mixed Expressions and Complex FractionsStudy Guide and Intervention . 43Skills Practice . 45Practice . 46Word Problem Practice . 47Enrichment . 48Lesson 11-2Lesson 11-8Rational FunctionsStudy Guide and Intervention .11Skills Practice . 13Practice . 14Word Problem Practice . 15Enrichment . 16Rational EquationsStudy Guide and Intervention . 49Skills Practice . 51Practice . 52Word Problem Practice . 53Enrichment . 54Lesson 11-3AssessmentSimplifying Rational ExpressionsStudy Guide and Intervention . 17Skills Practice . 19Practice . 20Word Problem Practice . 21Enrichment . 22Student Recording Sheet . 55Rubric for Scoring Extended Response . 56Chapter 11 Quizzes 1 and 2 . 57Chapter 11 Quizzes 3 and 4 . 58Chapter 11 Mid-Chapter Test . 59Chapter 11 Vocabulary Test . 60Chapter 11 Test, Form 1 . 61Chapter 11 Test, Form 2A . 63Chapter 11 Test, Form 2B . 65Chapter 11 Test, Form 2C . 67Chapter 11 Test, Form 2D . 69Chapter 11 Test, Form 3 . 71Chapter 11 Extended-Response Test . 73Standardized Test Practice .74Chapter ResourcesCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Lesson 11-6Lesson 11-4Multiplying and Dividing Rational ExpressionsStudy Guide and Intervention . 23Skills Practice . 25Practice . 26Word Problem Practice . 27Enrichment . 28Spreadsheet Activity . 29Answers . A1–A37Lesson 11-5Dividing PolynomialsStudy Guide and Intervention . 30Skills Practice . 32Practice . 33Word Problem Practice . 34Enrichment . 35TI-Nspire Activity . 36iii
Teacher’s Guide to Using theChapter 11 Resource MastersThe Chapter 11 Resource Masters includes the core materials needed for Chapter 11. Thesematerials include worksheets, extensions, and assessment options. The answers for thesepages appear at the back of this booklet.All of the materials found in this booklet are included for viewing, printing, andediting at connectED.mcgraw-hill.com.Chapter ResourcesStudent-Built Glossary (pages 1–2) Thesemasters are a student study tool thatpresents up to twenty of the key vocabularyterms from the chapter. Students are torecord definitions and/or examples for eachterm. You may suggest that studentshighlight or star the terms with which theyare not familiar. Give this to students beforebeginning Lesson 11-1. Encourage them toadd these pages to their mathematics studynotebooks. Remind them to complete theappropriate words as they study each lesson.Lesson ResourcesStudy Guide and Intervention Thesemasters provide vocabulary, key concepts,additional worked-out examples and CheckYour Progress exercises to use as areteaching activity. It can also be used inconjunction with the Student Edition as aninstructional tool for students who havebeen absent.Practice This master closely follows thetypes of problems found in the Exercisessection of the Student Edition and includesword problems. Use as an additionalpractice option or as homework for secondday teaching of the lesson.Word Problem Practice This masterincludes additional practice in solving wordproblems that apply the concepts of thelesson. Use as an additional practice or ashomework for second-day teaching of thelesson.Enrichment These activities may extendthe concepts of the lesson, offer an historicalor multicultural look at the concepts, orwiden students’ perspectives on themathematics they are learning. They arewritten for use with all levels of students.Graphing Calculator, TI-Nspire, orSpreadsheet ActivitiesThese activities present ways in whichtechnology can be used with the concepts insome lessons of this chapter. Use as analternative approach to some concepts or asan integral part of your lesson presentation.ivCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Anticipation Guide (pages 3–4) Thismaster, presented in both English andSpanish, is a survey used before beginningthe chapter to pinpoint what students mayor may not know about the concepts in thechapter. Students will revisit this surveyafter they complete the chapter to see iftheir perceptions have changed.Skills Practice This master focuses moreon the computational nature of the lesson.Use as an additional practice option or ashomework for second-day teaching of thelesson.
Assessment OptionsLeveled Chapter TestsThe assessment masters in the Chapter 11Resource Masters offer a wide range ofassessment tools for formative (monitoring)assessment and summative (final)assessment. Form 1 contains multiple-choicequestions and is intended for use withbelow grade level students. Forms 2A and 2B contain multiplechoice questions aimed at on grade levelstudents. These tests are similar informat to offer comparable testingsituations. Forms 2C and 2D contain freeresponse questions aimed at on-gradelevel students. These tests are similarin format to offer comparable testingsituations. Form 3 is a free-response test for usewith above grade level students.All of the above mentioned tests include afree-response Bonus question.Student Recording Sheet This master corresponds with the standardized testpractice at the end of the chapter.Extended Response Rubric This masterprovides information for teachers andstudents on how to assess performance onopen-ended questions.Quizzes Four free-response quizzes offerassessment at appropriate intervals inthe chapter.Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Mid-Chapter Test This 1-page testprovides an option to assess the first half ofthe chapter. It parallels the timing of theMid-Chapter Quiz in the Student Editionand includes both multiple-choice and freeresponse questions.Vocabulary Test This test is suitable forall students. It includes a list of vocabularywords and 12 questions to assess students’knowledge of those words. This can also beused in conjunction with one of the leveledchapter tests.Extended-Response Test Performanceassessment tasks are suitable for allstudents. Sample answers and a scoringrubric are included for evaluation.Standardized Test Practice These threepages are cumulative in nature. It includesthree parts: multiple-choice questions withbubble-in answer format, griddablequestions with answer grids, and shortanswer free-response questions.Answers The answers for the Anticipation Guideand Lesson Resources are provided asreduced pages. Full-size answer keys are provided forthe assessment masters.v
NAMEDATE11PERIODThis is an alphabetical list of the key vocabulary terms you will learn in Chapter 11.As you study the chapter, complete each term’s definition or description. Rememberto add the page number where you found the term. Add these pages to your AlgebraStudy Notebook to review vocabulary at the end of the chapter.Vocabulary TermFoundon PageDefinition/Description/Exampleasymptotecomplex fractionexcluded valuesCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.extraneous solutionsehk·STRAY·nee·uhsinverse variationihn·VUHRSleast common denominatorleast common multiplemixed expression(continued on the next page)Chapter 111Glencoe Algebra 1Chapter ResourcesStudent-Built Glossary
NAMEDATE11Student-Built GlossaryVocabulary TermFoundon eproduct rulerate problemsrational equationsrational expressionrational functionCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.work problemsChapter 112Glencoe Algebra 1
NAME11DATEPERIODAnticipation GuideStep 1Before you begin Chapter 11 Read each statement. Decide whether you Agree (A) or Disagree (D) with the statement. Write A or D in the first column OR if you are not sure whether you agree ordisagree, write NS (Not Sure).STEP 1A, D, or NSSTEP 2A or DStatement1. Since a direct variation can be written as y kx, an inversexvariation can be written as y .k2. A rational expression is an algebraic fraction that containsa radical.2xy23c 2,3. To multiply two rational expressions, such as and 3c5ymultiply the numerators and the denominators.Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.4. When solving problems involving units of measure,dimensional analysis is the process of determining the unitsof the final answer so that the units can be ignored whileperforming calculations.5. To divide (4x2 12x) by 2x, divide 4x2 by 2x and 12x by 2x.2a5and , first add the6. To find the sum of (3a - 4)(3a - 4)numerators and then the denominators.7. The least common denominator of two rational expressionswill be the least common multiple of the denominators.8. A complex fraction contains a fraction in its numeratoror denominator.( ab )ac9. The fraction can be rewritten as .cbd( d )10. Extraneous solutions are solutions that can be eliminatedbecause they are extremely high or low.Step 2After you complete Chapter 11 Reread each statement and complete the last column by entering an A or a D. Did any of your opinions about the statements change from the first column? For those statements that you mark with a D, use a piece of paper to write anexample of why you disagree.Chapter 113Glencoe Algebra 1Chapter ResourcesRational Expressions and Equations
NOMBRE11FECHAPERÍODOEjercicios preparatoriosExpresiones y ecuaciones racionalesPaso 1Antes de comenzar el Capítulo 11 Lee cada enunciado. Decide si estás de acuerdo (A) o en desacuerdo (D) con el enunciado. Escribe A o D en la primera columna O si no estás seguro(a) de la respuesta,escribe NS (No estoy seguro(a)).PASO 1A, D, o NSPASO 2AoDEnunciado1. Dado que una variación directa se puede escribir como y kx,xuna variación inversa se puede escribir como y .k2. Una expresión racional es una fracción algebraica que contieneun radical.2xy223c3. Para multiplicar dos expresiones racionales, como y ,3c5ymultiplica los numeradores y los denominadores.4. Al resolver problemas con unidades de medida, el análisisdimensional es el proceso de determinar las unidades de larespuesta final, de manera que las unidades pueden ignorarsemientras se desarrollan los cálculos.2a56. Para sumar y , primero suma los(3a - 4)(3a - 4)numeradores y luego los denominadores.7. El mínimo común denominador de dos expresiones racionalesserá el mínimo común múltiplo de los denominadores.8. Una fracción compleja contiene una fracción en su numeradoro denominador.9.( ab )acse puede volver a plantear como .La fracción cbd( d )10. Las soluciones extrínsecas son soluciones que se puedeneliminar porque son extremadamente altas o bajas.Paso 2Después de completar el Capítulo 11 Vuelve a leer cada enunciado y completa la última columna con una A o una D. ¿Cambió cualquiera de tus opiniones sobre los enunciados de la primera columna? En una hoja de papel aparte, escribe un ejemplo de por qué estás en desacuerdo con losenunciados que marcaste con una D.Capítulo 114Álgebra 1 de GlencoeCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.5. Para dividir (4x2 12x) entre 2x, divide 4x2 entre 2x y 12x entre 2x.
NAMEDATE11-1PERIODStudy Guide and InterventionInverse VariationIdentify and Use Inverse Variations An inverse variation is an equation in thekform of y x or xy k. If two points (x1, y1) and (x2, y2) are solutions of an inverse variation,then x1 y1 k and x2 y2 k.x1 y1 x2 y2Product Rule for Inverse VariationxyExampleIf y varies inversely as x and y 12 when x 4, find x when y 18.Method 1 Use the product rule.x 1 y1 x2 y2Product rule for inverse variation4 12 x2 18x1 4, y1 12, y2 1848 x2Method 2 Use a proportion.xDivide each side by 18.188 x23y12 x2 y1Proportion for inverse variation184 x x1 4, y1 12, y2 1821248 18x28 x2Simplify.3Cross multiply.Simplify.8Both methods show that x2 when y 18.3Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.ExercisesDetermine whether each table or equation represents an inverse or a directvariation. Explain.1.xy3651081612242. y 6x3. xy 15Assume that y varies inversely as x. Write an inverse variation equation thatrelates x and y. Then solve.4. If y 10 when x 5,find y when x 2.5. If y 8 when x -2,find y when x 4.6. If y 100 when x 120,find x when y 20.7. If y -16 when x 4,find x when y 32.8. If y -7.5 when x 25, find y when x 5.9. DRIVING The Gerardi family can travel to Oshkosh, Wisconsin, from Chicago, Illinois,in 4 hours if they drive an average of 45 miles per hour. How long would it take them ifthey increased their average speed to 50 miles per hour?10. GEOMETRY For a rectangle with given area, the width of the rectangle varies inverselyas the length. If the width of the rectangle is 40 meters when the length is 5 meters, findthe width of the rectangle when the length is 20 meters.Chapter 115Glencoe Algebra 1Lesson 11-112From the product rule, you can form the proportion x2 y1 .
NAMEDATE11-1PERIODStudy Guide and Intervention(continued)Inverse VariationGraph Inverse Variations Situations in which the values of y decrease as the valuesof x increase are examples of inverse variation. We say that y varies inversely as x, or y isinversely proportional to x.Inverse Variation Equationan equation of the form xy k, where k 0Example 1Suppose you drive200 miles without stopping. The timeit takes to travel a distance variesinversely as the rate at which youtravel. Let x speed in miles per hourand y time in hours. Graph thevariation.Example 2Graph an inversevariation in which y varies inversely asx and y 3 when x 12.Solve for k.xy kInverse variation equation12(3) kx 12 and y 336 kSimplify.Choose values for x and y, which have aproduct of 36.The equation xy 200 can be used torepresent the situation. Use various speedsto make a table.yyxy102030 6 62010 3 12 2 18218312663040550460206.71020O3.34060xy241224 x12OExercisesGraph each variation if y varies inversely as x.1. y 9 when x -324y32y-24 -12 O1224 x3. y -25 when x 51001612-32 -16 O1632 x-100 -50 O-16-50-24-32-10020y10-20 -10 O5. y -18 when x -936y20 x50x1006. y 4.8 when x 5.47.21810y50-124. y 4 when x 5Chapter 112. y 12 when x 4y3.6-36 -18 O1836 xx-7.2 -3.6 O-10-18-3.6-20-36-7.263.67.2Glencoe Algebra 1Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.x
NAMEDATE11-1PERIODSkills PracticeInverse VariationDetermine whether each table or equation represents an inverse or a directvariation. Explain.xy0.5814224122. xy 3. -2x y 03Assume that y varies inversely as x. Write an inverse variation equation thatrelates x and y. Then graph the equation.4. y 2 when x 585. y -6 when x -6y1684-8-44Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.O-16 -8 O8x-4-8-8-166. y -4 when x -1216O816 x7. y 15 when x 3y208-16 -8yy108-20 -1016 xO-8-10-16-201020 xSolve. Assume that y varies inversely as x.8. If y 4 when x 8,find y when x 2.9. If y -7 when x 3,find y when x -3.10. If y -6 when x -2,find y when x 4.11. If y -24 when x -3,find x when y -6.12. If y 15 when x 1,find x when y -3.13. If y 48 when x -4,find y when x 6.114. If y -4 when x , find x when y 2.2Chapter 117Glencoe Algebra 1Lesson 11-11.
NAMEDATE11-1PERIODPracticeInverse VariationDetermine whether each table or equation represents an inverse or a directvariation. Explain.1.2.yx3. x -3yxy0.2540-20.52000252-881.254-1674. y x8Asssume that y varies inversely as x. Write an inverse variation equation thatrelates x and y. Then graph the equation.5. y -2
connected.mcgraw-hill.com. Spanish Assessment Masters (MHID: 0-07-660289-3, ISBN: 978-0-07-660289-6) These masters contain a Spanish version of Chapter 11 Test Form 2A and Form 2C.
Part One: Heir of Ash Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 Chapter 12 Chapter 13 Chapter 14 Chapter 15 Chapter 16 Chapter 17 Chapter 18 Chapter 19 Chapter 20 Chapter 21 Chapter 22 Chapter 23 Chapter 24 Chapter 25 Chapter 26 Chapter 27 Chapter 28 Chapter 29 Chapter 30 .
back of this Chapter Resource Masters booklet. ConnectED All of the materials found in this booklet are included for viewing, printing, and editing at connected.mcgraw-hill.com. Spanish Assessment Masters (MHID: 0-07-660289-3, ISBN: 978-0-07-660289-6) These masters contain
TO KILL A MOCKINGBIRD. Contents Dedication Epigraph Part One Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 Part Two Chapter 12 Chapter 13 Chapter 14 Chapter 15 Chapter 16 Chapter 17 Chapter 18. Chapter 19 Chapter 20 Chapter 21 Chapter 22 Chapter 23 Chapter 24 Chapter 25 Chapter 26
Chapter 1 Resource Masters Bothell, WA Chicago, IL † Columbus, OH † New York, NY . Study Guide and Intervention Workbook 0-07-660292-3 978-0-07-660292-6 . an integral part of your lesson presentation. The Chapter 1 Resource Masters includes the co
Oct 14, 2021 · a. Keyboards - Commack High School b. Instruments - Burr Intermediate School c. Burnisher - Rolling Hills Primary School d. Window A/C Unit - Facilities Office e. String Bass - Commack High School 7. Approved the 2021-2022 Emergency Food Service Management Contract 8. Approved the following bids as recommended:
DEDICATION PART ONE Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 PART TWO Chapter 12 Chapter 13 Chapter 14 Chapter 15 Chapter 16 Chapter 17 Chapter 18 Chapter 19 Chapter 20 Chapter 21 Chapter 22 Chapter 23 .
Answers For Workbooks The answers for Chapter 10 of these workbooks can be found in the back of this Chapter Resource Masters booklet. . Chapter 10 1 Glencoe Algebra 1 Student-Built Glossary This is an alphabetical list of the key vocabulary terms you will learn in Chapter 10.
Glencoe/McGraw-Hill iv Glencoe Algebra 1 Teacher’s Guide to Using the Chapter 1 Resource Masters The Fast File Chapter Resource system allows you to conveniently file the resources you use most often. The Chapter 1 Resource Masters includes the core materials needed for Chapter 1. These materials include worksheets, extensions, and assessment options.
