Chapter 2 Resource Masters

1 Chapter 2 Resource MastersConsumable WorkbooksMany of the worksheets contained in the Chapter Resource Masters bookletsare available as consumable guide and Intervention Workbook0-07-828029-XSkills Practice Workbook0-07-828023-0 Practice Workbook0-07-828024-9 ANSWERS FOR WORKBOOKSThe answers for Chapter 2 of these workbookscan be found in the back of this Chapter Resource Masters by The McGraw-Hill Companies, Inc. All rights in the United States of America. Permission is granted to reproduce the material contained herein on the condition that such material be reproduced only for classroom use; be provided to students, teacher, and families without charge; and be used solely in conjunction with Glencoe s algebra other reproduction, for use or sale, is prohibited without prior written permission of the all inquiries to:The McGraw-Hill Companies8787 Orion PlaceColumbus, OH 43240-4027 ISBN: 0-07-828005-2 algebra 2 Chapter 2 Resource Masters2 3 4 5 6 7 8 9 10 066 11 10 09 08 07 06 05 04 03 Glencoe/McGraw-Hill Glencoe/McGraw-HilliiiGlencoe algebra 2 ContentsVocabulary Builder.

2 ViiLesson 2-1 Study guide and Intervention ..57 58 Skills Practice ..59 Practice ..60 Reading to Learn Mathematics ..61 Enrichment ..62 Lesson 2-2 Study guide and Intervention ..63 64 Skills Practice ..65 Practice ..66 Reading to Learn Mathematics ..67 Enrichment ..68 Lesson 2-3 Study guide and Intervention ..69 70 Skills Practice ..71 Practice ..72 Reading to Learn Mathematics ..73 Enrichment ..74 Lesson 2-4 Study guide and Intervention ..75 76 Skills Practice ..77 Practice ..78 Reading to Learn Mathematics ..79 Enrichment ..80 Lesson 2-5 Study guide and Intervention ..81 82 Skills Practice ..83 Practice ..84 Reading to Learn Mathematics ..85 Enrichment ..86 Lesson 2-6 Study guide and Intervention ..87 88 Skills Practice ..89 Practice ..90 Reading to Learn Mathematics ..91 Enrichment ..92 Lesson 2-7 Study guide and Intervention ..93 94 Skills Practice ..95 Practice ..96 Reading to Learn Mathematics ..97 Enrichment.

3 98 Chapter 2 AssessmentChapter 2 Test, Form 1 ..99 100 Chapter 2 Test, Form 2A ..101 102 Chapter 2 Test, Form 2B ..103 104 Chapter 2 Test, Form 2C ..105 106 Chapter 2 Test, Form 2D ..107 108 Chapter 2 Test, Form 3 ..109 110 Chapter 2 Open-Ended Assessment ..111 Chapter 2 Vocabulary Test/Review ..112 Chapter 2 Quizzes 1 & 2 ..113 Chapter 2 Quizzes 3 & 4 ..114 Chapter 2 Mid- Chapter Test ..115 Chapter 2 Cumulative Review ..116 Chapter 2 Standardized Test Practice ..117 11 8 Standardized Test Practice Student Recording Sheet ..A1 ANSWERS ..A2 A32 Glencoe/McGraw-HillivGlencoe algebra 2 Teacher s guide to Using theChapter 2 Resource MastersThe Fast FileChapter Resource system allows you to conveniently file the resourcesyou use most often. The Chapter 2 Resource Mastersincludes the core materials neededfor Chapter 2. These materials include worksheets, extensions, and assessment answers for these pages appear at the back of this of the materials found in this booklet are included for viewing and printing in theAlgebra 2 BuilderPages vii viiiinclude a student study tool that presentsup to twenty of the key vocabulary termsfrom the Chapter .

4 Students are to recorddefinitions and/or examples for each may suggest that students highlight orstar the terms with which they are TO USEGive these pages tostudents before beginning Lesson them to add these pages to theirAlgebra 2 Study Notebook. Remind them to add definitions and examples as theycomplete each guide and InterventionEach lesson in algebra 2addresses twoobjectives. There is one Study guide andIntervention master for each TO USEUse these Masters asreteaching activities for students who needadditional reinforcement. These pages canalso be used in conjunction with the StudentEdition as an instructional tool for studentswho have been PracticeThere is one master foreach lesson. These provide computationalpractice at a basic TO USET hese Masters can be used with students who have weakermathematics backgrounds or needadditional is one master for eachlesson. These problems more closely followthe structure of the Practice and Applysection of the Student Edition exercises are of average TO USET hese provide additionalpractice options or may be used ashomework for second day teaching of to Learn MathematicsOne master is included for each lesson.

5 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 TO USEThis master can be usedas 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) 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 TO USET hese may be used asextra credit, short-term projects, or asactivities for days when class periods areshortened. Glencoe/McGraw-HillvGlencoe algebra 2 Assessment OptionsThe assessment Masters in the Chapter 2 Resource Mastersoffer a wide range ofassessment tools for intermediate and finalassessment.

6 The following lists describe eachassessment master and its intended Assessment Chapter TESTS Form 1contains multiple-choice questionsand is intended for use with basic levelstudents. Forms 2A and 2 Bcontain multiple-choicequestions aimed at the average levelstudent. These tests are similar in formatto offer comparable testing situations. Forms 2C and 2 Dare composed of free-response 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 3is an advanced level test withfree-response questions. Grids withoutaxes are provided for questions assessinggraphing of the above tests include a free-response Bonus question. The Open-Ended Assessmentincludesperformance assessment tasks that aresuitable for all students. A scoring rubricis included for evaluation answers are provided forassessment. A Vocabulary Test,suitable for allstudents, includes a list of the vocabularywords in the Chapter and ten questionsassessing students knowledge of thoseterms.

7 This can also be used in conjunc-tion with one of the Chapter tests or as areview Assessment Four free-response quizzesare includedto offer assessment at appropriateintervals in the Chapter . A Mid- Chapter Testprovides an optionto assess the first half of the Chapter . It iscomposed of both multiple-choice andfree-response Assessment The Cumulative Reviewprovidesstudents an opportunity to reinforce andretain skills as they proceed throughtheir study of algebra 2. It can also beused as a test. This master includes free-response questions. The Standardized Test Practiceofferscontinuing review of algebra concepts invarious formats, which may appear onthe standardized tests that they mayencounter. This practice includes multiple-choice, grid-in, and quantitative-comparison questions. Bubble-in andgrid-in answer sections are provided onthe Page A1 is an answer sheet for theStandardized Test Practice questionsthat appear in the Student Edition onpages 106 107. This improves students familiarity with the answer formats theymay encounter in test taking.

8 The answers for the lesson-by-lessonmasters are provided as reduced pageswith answers appearing in red. Full-size answer keys are provided forthe assessment Masters in this to Learn MathematicsVocabulary BuilderNAME _____ DATE _____ PERIOD _____22 Glencoe/McGraw-HillviiGlencoe algebra 2 Vocabulary BuilderThis is an alphabetical list of the key vocabulary terms you will learn in Chapter you study the Chapter , complete each term s definition or to add the page number where you found the term. Add these pages toyour algebra Study Notebook to review vocabulary at the end of the TermFound on PageDefinition/Description/Exampleabsolu te value functionboundaryconstant functionfamily of graphsfunctiongreatest integer functionidentity functionlinear equationline of fitone-to-one function(continued on the next page) Glencoe/McGraw-HillviiiGlencoe algebra 2 Vocabulary TermFound on PageDefinition/Description/Exampleparent graphpiecewise functionPEES WYZpoint-slope formprediction equationpree DIHK shuhnrelationscatter plotslopeslope-intercept formIHN tuhr SEHPT standard formstep function Reading to Learn MathematicsVocabulary Builder(continued)NAME _____ DATE _____ PERIOD _____22 Study guide and InterventionRelations and FunctionsNAME _____ DATE _____ PERIOD _____2-12-1 Glencoe/McGraw-Hill57 Glencoe algebra 2 Lesson 2-1 Graph RelationsA relationcan be represented as a set of ordered pairs or as anequation.

9 The relation is then the set of all ordered pairs (x,y) that make the equation domainof a relation is the set of all first coordinates of the ordered pairs, and therangeis the set of all second functionis a relation in which each element of the domain is paired with exactly oneelement of the range. You can tell if a relation is a function by graphing, then using thevertical line test. If a vertical line intersects the graph at more than one point, therelation is not a the equation y 2x 3 and find the domain and range. Doesthe equation represent a function?Make a table of values to find ordered pairs that satisfy the equation. Then graph the ordered domain and range are both all real numbers. Thegraph passes the vertical line test, so it is each relation or equation and find the domain and range. Then determinewhether the relation or equation is a {(1, 3), ( 3, 5),2.{(3, 4), (1, 0),3.{(0, 4), ( 3, 2),( 2, 5), (2, 3)}(2, 2), (3, 2)}(3, 2), (5, 1)}D { 3, 2, 1, 2},D {1, 2, 3},D { 3, 0, 3, 5},R {3, 5}; yesR { 4, 2, 0, 2}; noR { 2, 1, 2, 4}; x2 x 3x 2D all reals,D all reals,D all reals,R {y y 1}; yesR all reals; yesR all reals; yesxyOxyOxyOxyOxyOxyOxyOxy 1 50 31 12133 ExampleExampleExercisesExercises Glencoe/McGraw-Hill58 Glencoe algebra 2 Equations of Functions and RelationsEquations that represent functions areoften written in functional example,y 10 8xcan be written as f(x) 10 notation emphasizes the fact that the values of y,the dependentvariable,depend on the values of x,the independent evaluate a function, or find a functional value, means to substitute a given value in thedomain into the equation to find the corresponding element in the the function f(x) x2 2x,find each (3)f(x) x2 2xOriginal functionf(3) 32 2(3)Substitute.

10 (5a)f(x) x2 2xOriginal functionf(5a) (5a)2 2(5a)Substitute. 25a2 each value if f(x) 2x (12) (6) (2b) 4b 4 Find each value if g(x) x3 (5) ( 2) (7c)343c3 7cFind each value if f(x) 2x and g(x) ( ) ( 8) (3) ( ) (4a)8a (10) (200) f(x) 2x2 the values of f(2) and f(5).f(2) 7,f(5) the values of f(2) f(5) and f(2 5).f(2) f(5) 343,f(2 5) 1992 31 3b2 10b 21 2a1 42 xStudy guide and Intervention (continued)Relations and FunctionsNAME _____ DATE _____ PERIOD _____2-12-1 ExampleExampleExercisesExercisesSkills PracticeRelations and FunctionsNAME _____ DATE _____ PERIOD _____2-12-1 Glencoe/McGraw-Hill59 Glencoe algebra 2 Lesson 2-1 Determine whether each relation is a function. Write yesor each relation or equation and find the domain and range. Then determinewhether the relation or equation is a {(2, 3), (2, 4), (2, 1)}6.{(2, 6), (6, 2)}D {2}, R { 3, 1, 4}; noD {2, 6}, R {2, 6}; yes7.{( 3, 4), ( 2, 4), ( 1, 1), (3, 1)} 2D { 3, 2, 1, 3},D { 2}, R all reals; no R { 1, 4}; yesFind each value if f(x) 2x 1 and g(x) 2 (0) (12) (4) ( 2) ( 1) (d)2d 1xyOxyOxyOxyOxyOxy122436D3R15D100200300R 50100150 Glencoe/McGraw-Hill60 Glencoe algebra 2 Determine whether each relation is a function.