Transcription

Chapter 7Resource Masters

Consumable WorkbooksMany of the worksheets contained in the Chapter Resource Masters bookletsare available as consumable workbooks.Study Guide and Intervention WorkbookSkills Practice WorkbookPractice WERS FOR WORKBOOKS The answers for Chapter 7 of these workbookscan be found in the back of this Chapter Resource Masters booklet.Glencoe/McGraw-HillCopyright by The McGraw-Hill Companies, Inc. All rights reserved.Printed in the United States of America. Permission is granted to reproduce thematerial contained herein on the condition that such material be reproduced onlyfor classroom use; be provided to students, teacher, and families without charge;and be used solely in conjunction with Glencoe’s Algebra 2. Any other reproduction,for use or sale, is prohibited without prior written permission of the publisher.Send all inquiries to:The McGraw-Hill Companies8787 Orion PlaceColumbus, OH 43240-4027ISBN: 0-07-828010-91 2 3 4 5 6 7 8 9 10 066 11 10 09 08 07 06 05 04 03 02Algebra 2Chapter 7 Resource Masters

ContentsVocabulary Builder . . . . . . . . . . . . . . . . viiLesson 7-7Study Guide and Intervention . . . . . . . . 411–412Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 413Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 414Reading to Learn Mathematics . . . . . . . . . . 415Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 416Lesson 7-1Study Guide and Intervention . . . . . . . . 375–376Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 377Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 378Reading to Learn Mathematics . . . . . . . . . . 379Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 380Lesson 7-8Study Guide and Intervention . . . . . . . . 417–418Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 419Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 420Reading to Learn Mathematics . . . . . . . . . . 421Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 422Lesson 7-2Study Guide and Intervention . . . . . . . . 381–382Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 383Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 384Reading to Learn Mathematics . . . . . . . . . . 385Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 386Lesson 7-9Study Guide and Intervention . . . . . . . . 423–424Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 425Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 426Reading to Learn Mathematics . . . . . . . . . . 427Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 428Lesson 7-3Study Guide and Intervention . . . . . . . . 387–388Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 389Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 390Reading to Learn Mathematics . . . . . . . . . . 391Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 392Chapter 7 AssessmentChapter 7 Test, Form 1 . . . . . . . . . . . . 429–430Chapter 7 Test, Form 2A . . . . . . . . . . . 431–432Chapter 7 Test, Form 2B . . . . . . . . . . . 433–434Chapter 7 Test, Form 2C . . . . . . . . . . . 435–436Chapter 7 Test, Form 2D . . . . . . . . . . . 437–438Chapter 7 Test, Form 3 . . . . . . . . . . . . 439–440Chapter 7 Open-Ended Assessment . . . . . . 441Chapter 7 Vocabulary Test/Review . . . . . . . 442Chapter 7 Quizzes 1 & 2 . . . . . . . . . . . . . . . 443Chapter 7 Quizzes 3 & 4 . . . . . . . . . . . . . . . 444Chapter 7 Mid-Chapter Test . . . . . . . . . . . . 445Chapter 7 Cumulative Review . . . . . . . . . . . 446Chapter 7 Standardized Test Practice . . 447–448Unit 2 Test/Review (Ch. 5–7) . . . . . . . . 449–450First Semester Test (Ch. 1–7) . . . . . . . 451–452Lesson 7-4Study Guide and Intervention . . . . . . . . 393–394Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 395Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 396Reading to Learn Mathematics . . . . . . . . . . 397Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 398Lesson 7-5Study Guide and Intervention . . . . . . . 399–400Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 401Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 402Reading to Learn Mathematics . . . . . . . . . . 403Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 404Lesson 7-6Study Guide and Intervention . . . . . . . . 405–406Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 407Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 408Reading to Learn Mathematics . . . . . . . . . . 409Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 410 Glencoe/McGraw-HillStandardized Test PracticeStudent Recording Sheet . . . . . . . . . . . . . . A1ANSWERS . . . . . . . . . . . . . . . . . . . . . . A2–A40iiiGlencoe Algebra 2

Teacher’s Guide to Using theChapter 7 Resource MastersThe Fast File Chapter Resource system allows you to conveniently file the resourcesyou use most often. The Chapter 7 Resource Masters includes the core materials neededfor Chapter 7. These materials include worksheets, extensions, and assessment options.The answers for these pages appear at the back of this booklet.All of the materials found in this booklet are included for viewing and printing in theAlgebra 2 TeacherWorks CD-ROM.Vocabulary BuilderPracticePages vii–viiiinclude a student study tool that presentsup to twenty of the key vocabulary termsfrom the chapter. Students are to recorddefinitions and/or examples for each term.You may suggest that students highlight orstar the terms with which they are notfamiliar.There is one master for eachlesson. These problems more closely followthe structure of the Practice and Applysection of the Student Edition exercises.These exercises are of average difficulty.WHEN TO USE These provide additionalpractice options or may be used ashomework for second day teaching of thelesson.WHEN TO USE Give these pages tostudents before beginning Lesson 7-1.Encourage them to add these pages to theirAlgebra 2 Study Notebook. Remind themto add definitions and examples as theycomplete each lesson.Reading to Learn MathematicsOne master is included for each lesson. Thefirst section of each master asks questionsabout the opening paragraph of the lessonin the Student Edition. Additionalquestions ask students to interpret thecontext of and relationships among termsin the lesson. Finally, students are asked tosummarize what they have learned usingvarious representation techniques.Study Guide and InterventionEach lesson in Algebra 2 addresses twoobjectives. There is one Study Guide andIntervention master for each objective.WHEN TO USE Use these masters asWHEN TO USE This master can be usedreteaching activities for students who needadditional reinforcement. These pages canalso be used in conjunction with the StudentEdition as an instructional tool for studentswho have been absent.as a study tool when presenting the lessonor as an informal reading assessment afterpresenting the lesson. It is also a helpfultool for ELL (English Language Learner)students.Skills PracticeThere is one master foreach lesson. These provide computationalpractice at a basic level.EnrichmentThere is one extensionmaster for each lesson. These activities mayextend the concepts in the lesson, offer anhistorical or multicultural look at theconcepts, or widen students’ perspectives onthe mathematics they are learning. Theseare not written exclusively for honorsstudents, but are accessible for use with alllevels of students.WHEN TO USE These masters can beused with students who have weakermathematics backgrounds or needadditional reinforcement.WHEN TO USE These may be used asextra credit, short-term projects, or asactivities for days when class periods areshortened. Glencoe/McGraw-HillivGlencoe Algebra 2

Assessment OptionsIntermediate AssessmentThe assessment masters in the Chapter 7Resource Masters offer a wide range ofassessment tools for intermediate and finalassessment. The following lists describe eachassessment master and its intended use. Four free-response quizzes are includedto offer assessment at appropriateintervals in the chapter. A Mid-Chapter Test provides an optionto assess the first half of the chapter. It iscomposed of both multiple-choice andfree-response questions.Chapter AssessmentCHAPTER TESTSContinuing Assessment Form 1 contains multiple-choice questionsand is intended for use with basic levelstudents. The Cumulative Review providesstudents an opportunity to reinforce andretain skills as they proceed throughtheir study of Algebra 2. It can also beused as a test. This master includesfree-response questions. Forms 2A and 2B contain multiple-choicequestions aimed at the average levelstudent. These tests are similar in formatto offer comparable testing situations. The Standardized Test Practice offerscontinuing review of algebra concepts invarious formats, which may appear onthe standardized tests that they mayencounter. This practice includes multiplechoice, grid-in, and quantitativecomparison questions. Bubble-in andgrid-in answer sections are provided onthe master. Forms 2C and 2D are composed of freeresponse questions aimed at the averagelevel student. These tests are similar informat to offer comparable testingsituations. Grids with axes are providedfor questions assessing graphing skills. Form 3 is an advanced level test withfree-response questions. Grids withoutaxes are provided for questions assessinggraphing skills.AnswersAll of the above tests include a freeresponse Bonus question. Page A1 is an answer sheet for theStandardized Test Practice questionsthat appear in the Student Edition onpages 406–407. This improves students’familiarity with the answer formats theymay encounter in test taking. The Open-Ended Assessment includesperformance assessment tasks that aresuitable for all students. A scoring rubricis included for evaluation guidelines.Sample answers are provided forassessment. The answers for the lesson-by-lessonmasters are provided as reduced pageswith answers appearing in red. A Vocabulary Test, suitable for allstudents, includes a list of the vocabularywords in the chapter and ten questionsassessing students’ knowledge of thoseterms. This can also be used in conjunction with one of the chapter tests or as areview worksheet. Glencoe/McGraw-Hill Full-size answer keys are provided forthe assessment masters in this booklet.vGlencoe Algebra 2

NAME DATE7PERIODReading to Learn MathematicsThis is an alphabetical list of the key vocabulary terms you will learn in Chapter 7.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/Examplecomposition of functionsdepressed polynomialend behaviorFactor TheoremFundamental Theorem ofAlgebrainverse functioninverse relationleading coefficientslocation principleone-to-one(continued on the next page) Glencoe/McGraw-HillviiGlencoe Algebra 2Vocabulary BuilderVocabulary Builder

NAME DATE7PERIODReading to Learn MathematicsVocabulary BuilderVocabulary Term(continued)Foundon PageDefinition/Description/Examplepolynomial functionpolynomial in one variablepower functionquadratic formRational Zero Theoremrelative maximumrelative minimumremainder theoremsquare root function synthetic substitutionsihn·THEH·tihk Glencoe/McGraw-HillviiiGlencoe Algebra 2

NAME DATE7-1PERIODStudy Guide and InterventionPolynomial FunctionsPolynomial FunctionsA polynomial of degree n in one variable x is an expression of the formPolynomial inOne Variablea0x n a1x n 1 an 2x 2 an 1x an,where the coefficients a0, a1, a2, , an represent real numbers, a0 is not zero,and n represents a nonnegative integer.Lesson 7-1The degree of a polynomial in one variable is the greatest exponent of its variable. Theleading coefficient is the coefficient of the term with the highest degree.A polynomial function of degree n can be described by an equation of the formP(x ) a0x n a1x n 1 an 2x 2 an 1x an,PolynomialFunctionwhere the coefficients a0, a1, a2, , an represent real numbers, a0 is not zero,and n represents a nonnegative integer.Example 1What are the degree and leading coefficient of 3x2 2x4 7 x3 ?Rewrite the expression so the powers of x are in decreasing order. 2x4 x3 3x2 7This is a polynomial in one variable. The degree is 4, and the leading coefficient is 2.Example 2Find f( 5) if f(x) x3 2x2 10x 20.f(x) 10x 20Original function32f( 5) ( 5) 2( 5) 10( 5) 20Replace x with 5. 125 50 50 20Evaluate. 5Simplify.x32x2Example 3g(x) g(a2 1) Find g(a2 1) if g(x) x2 3x 4.x2 3x 4Original function(a2 1)2 3(a2 1) 4Replace x with a 2 1.422a 2a 1 3a 3 4 Evaluate.a4 a2 6Simplify.ExercisesState the degree and leading coefficient of each polynomial in one variable. If it isnot a polynomial in one variable, explain why.8; 81. 3x4 6x3 x2 12 4; 32. 100 5x3 10x7 7; 103. 4x6 6x4 8x8 10x2 204. 4x2 3xy 16y25. 8x3 9x5 4x2 366. not a polynomial inone variable; containstwo variables5; 9x218x625x33617216; Find f(2) and f( 5) for each function.7. f(x) x2 9 5; 16 Glencoe/McGraw-Hill8. f(x) 4x3 3x2 2x 123; 5863759. f(x) 9x3 4x2 5x 773; 1243Glencoe Algebra 2

NAME DATE7-1PERIODStudy Guide and Intervention(continued)Polynomial FunctionsGraphs of Polynomial FunctionsEnd Behaviorof PolynomialFunctionsIf the degree is even and the leading coeffi