Chapter 4 Resource Masters - KTL MATH CLASSES

1 Chapter 4 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 4 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: 0-07-828007-9 Algebra 2 Chapter 4 Resource Masters1 2 3 4 5 6 7 8 9 10 066 11 10 09 08 07 06 05 04 03 02 Glenc oe/ M cGr aw-H ill Glencoe/McGraw-HilliiiGlencoe Algebra 2 ContentsVocabulary Builder.

2 ViiLesson 4-1 Study Guide and Intervention ..169 170 Skills Practice ..171 Practice ..172 Reading to Learn Mathematics ..173 Enrichment ..174 Lesson 4-2 Study Guide and Intervention ..175 176 Skills Practice ..177 Practice ..178 Reading to Learn Mathematics ..179 Enrichment ..180 Lesson 4-3 Study Guide and Intervention ..181 182 Skills Practice ..183 Practice ..184 Reading to Learn Mathematics ..185 Enrichment ..186 Lesson 4-4 Study Guide and Intervention ..187 188 Skills Practice ..189 Practice ..190 Reading to Learn Mathematics ..191 Enrichment ..192 Lesson 4-5 Study Guide and Intervention ..193 194 Skills Practice ..195 Practice ..196 Reading to Learn Mathematics ..197 Enrichment ..198 Lesson 4-6 Study Guide and Intervention ..199 200 Skills Practice ..201 Practice ..202 Reading to Learn Mathematics ..203 Enrichment ..204 Lesson 4-7 Study Guide and Intervention ..205 206 Skills Practice ..207 Practice ..208 Reading to Learn Mathematics.

3 209 Enrichment ..210 Lesson 4-8 Study Guide and Intervention ..211 212 Skills Practice ..213 Practice ..214 Reading to Learn Mathematics ..215 Enrichment ..216 Chapter 4 AssessmentChapter 4 Test, Form 1 ..217 218 Chapter 4 Test, Form 2A ..219 220 Chapter 4 Test, Form 2B ..221 222 Chapter 4 Test, Form 2C ..223 224 Chapter 4 Test, Form 2D ..225 226 Chapter 4 Test, Form 3 ..227 228 Chapter 4 Open-Ended Assessment ..229 Chapter 4 Vocabulary Test/Review ..230 Chapter 4 Quizzes 1 & 2 ..231 Chapter 4 Quizzes 3 & 4 ..232 Chapter 4 Mid- Chapter Test ..233 Chapter 4 Cumulative Review ..234 Chapter 4 Standardized Test Practice ..235 236 Unit 1 Test/Review (Ch. 1 4) ..237 238 Standardized Test Practice Student Recording Sheet ..A1 ANSWERS ..A2 A36 Glencoe/McGraw-HillivGlencoe Algebra 2 Teacher s Guide to Using theChapter 4 Resource MastersThe Fast FileChapter Resource system allows you to conveniently file the resourcesyou use most often. The Chapter 4 Resource Mastersincludes the core materials neededfor Chapter 4.

4 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 . 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.

5 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. 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.

6 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 4 Resource Mastersoffer a wide range ofassessment tools for intermediate and finalassessment. 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.

7 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. 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.

8 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 216 217. This improves students familiarity with the answer formats theymay encounter in test taking. 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 _____44 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.

9 Add these pages toyour Algebra Study Notebook to review vocabulary at the end of the TermFound on PageDefinition/Description/ExampleCramer s RuleKRAY muhrsdeterminantdilationdy LAY shuhnelementexpansion by minorsidentity matriximageinverseisometryeye SAH muh treematrixMAY trihks(continued on the next page) Glencoe/McGraw-HillviiGlencoe Algebra 2 Glencoe/McGraw-HillviiiGlencoe Algebra 2 Vocabulary TermFound on PageDefinition/Description/Examplematrix equationpreimagereflectionrotationscalar multiplicationSKAY luhrsquare matrixtransformationtranslationvertex matrixzero matrix Reading to Learn MathematicsVocabulary Builder(continued)NAME _____ DATE _____ PERIOD _____44 Study Guide and InterventionIntroduction to MatricesNAME _____ DATE _____ PERIOD _____4-14-1 Glencoe/McGraw-Hill169 Glencoe Algebra 2 Lesson 4-1 Organize DataMatrixa rectangular array of variables or constants in horizontal rows and vertical columns, usually enclosed in matrix can be described by its matrix with mrows and ncolumns is an m eggs incubate for 30 days and their fledgling period is also 30 days.

10 Swifts eggs incubate for 20 days and their fledgling period is 44 eggs incubate for 15 days, and their fledgling period is 17 days. Eggs of theking penguin incubate for 53 days, and the fledgling time for a king penguin is360 days. Write a 2 4 matrix to organize this : The Cambridge FactfinderWhat are the dimensions of matrix Aif A ?Since matrix Ahas 2 rows and 4 columns, the dimensions of Aare 2 the dimensions of each 42.[16 12 0]1 travel agent provides for potential travelers the normal high temperatures for themonths of January, April, July, and October for various cities. In Boston these figures are36 , 56 , 82 , and 63 . In Dallas they are 54 , 76 , 97 , and 79 . In Los Angeles they are68 , 72 , 84 , and 79 . In Seattle they are 46 , 58 , 74 , and 60 , and in St. Louis they are38 , 67 , 89 , and 69 . Organize this information in a 4 5 : The New York Times AlmanacBoston Dallas Los Angeles Seattle St. LouisJanuary 3654684638 April 5676725867 July 8297847489 October 6379796069 71 44 39 27 45 16 92 53 78 65 155 27 4 23605 14 70 24 3 633 42 90 13 10 345 281580 OwlSwiftPigeonKing PenguinIncubation 30201553 Fledgling 304417360 Example1 Example1 Example2 Example2 ExercisesExercises Glencoe/McGraw-Hill170 Glencoe Algebra 2 Equations Involving Matrices Equal MatricesTwo matrices are equal if they have the same dimensions and each element of one matrix isequal to the corresponding element of the other can use the definition of equal matrices to solve matrix for xand the matrices are equal, the corresponding elements are equal.