Chapter 4 Resource Masters - Commack Schools

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Chapter 4 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 4 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 4 Test Form 2A and Form 2C.connected.mcgraw-hill.comCopyright by The McGraw-Hill Companies, Inc.All 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: 978-0-07-660499-9MHID: 0-07-660499-3Printed in the United States of America.1 2 3 4 5 6 7 8 9 DOH 16 15 14 13 12 11

ContentsTeacher’s Guide to Using the Chapter 4Resource Masters.ivChapter ResourcesChapter 4 Student-Built Glossary. 1Chapter 4 Anticipation Guide (English) . 3Chapter 4 Anticipation Guide (Spanish) . 4Lesson 4-1Graphing Equations in Slope-Intercept FormStudy Guide and Intervention . 5Skills Practice . 7Practice . 8Word Problem Practice . 9Enrichment . 10Lesson 4-2Writing Equations in Slope-Intercept FormStudy Guide and Intervention .11Skills Practice . 13Practice . 14Word Problem Practice . 15Enrichment . 16Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Lesson 4-3Writing Equations in Point-Slope FormStudy Guide and Intervention . 17Skills Practice . 19Practice . 20Word Problem Practice . 21Enrichment . 22Graphing Calculator Activity . 23Lesson 4-4Parallel and Perpendicular LinesStudy Guide and Intervention . 24Skills Practice . 26Practice . 27Word Problem Practice . 28Enrichment . 29Lesson 4-5Scatter Plots and Lines of FitStudy Guide and Intervention . 30Skills Practice . 32Practice . 33Word Problem Practice . 34Enrichment . 35Spreadsheet Activity . 36Lesson 4-6Regression and Median-Fit LinesStudy Guide and Intervention . 37Skills Practice . 39Practice . 40Word Problem Practice . 41Enrichment . 42Lesson 4-7Inverse Linear FunctionsStudy Guide and Intervention . 43Skills Practice . 45Practice . 46Word Problem Practice . 47Enrichment . 48AssessmentStudent Recording Sheet . 49Rubric for Scoring Extended Response . 50Chapter 4 Quizzes 1 and 2 . 51Chapter 4 Quizzes 3 and 4 . 52Chapter 4 Mid-Chapter Test . 53Chapter 4 Vocabulary Test. 54Chapter 4 Test, Form 1 . 55Chapter 4 Test, Form 2A . 57Chapter 4 Test, Form 2B . 59Chapter 4 Test Form 2C . 61Chapter 4 Test Form 2D . 63Chapter 4 Test Form 3 . 65Chapter 4 Extended-Response Test . 67Standardized Test Practice . 68Answers . A1–A34iii

Teacher’s Guide to Using theChapter 4 Resource MastersThe Chapter 4 Resource Masters includes the core materials needed for Chapter 4. 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.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.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 4-1. Encourage them toadd these pages to their mathematics studynotebooks. Remind them to complete theappropriate words as they study each lesson.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.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.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.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.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.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.

Assessment OptionsLeveled Chapter TestsThe assessment masters in the Chapter 4Resource Masters offer a wide rangeof assessment tools for formative(monitoring) assessment and summative(final) assessment. Form 1 contains multiple-choice questions and is intended for use with belowgrade 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 similar informat to offer comparable testingsituations. Form 3 is a free-response test for usewith above grade level students.Student Recording Sheet This mastercorresponds with the standardized testpractice at the end of the chapter.Extended Response Rubric This masterprovides information for teachers and students on how to assess performance on openended 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 11 questions to assess students’knowledge of those words. This can also beused in conjunction with one of the leveledchapter tests.All of the above mentioned tests include afree-response Bonus question.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

NAMEDATE4PERIODThis is an alphabetical list of the key vocabulary terms you will learn in Chapter 4.As you study the chapter, complete each term’s definition or description.Remember 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 chapter.Vocabulary TermFoundon PageDefinition/Description/Examplebest-fit linebivariate datacorrelation coefficientkawr·uh·LAY·shunCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.inverse functioninverse relationline of fitlinear extrapolationihk·STRA·puh·LAY·shunlinear interpolationihn·TUHR·puh·LAY·shun(continued on the next page)Chapter 41Glencoe Algebra 1Chapter ResourcesStudent-Built Glossary

NAMEDATE4Student-Built GlossaryVocabulary TermFoundon elinear regressionmedian-fit lineparallel linesperpendicular linesPUHR·puhn·DIH·kyuh·luhrresidualCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.scatter plotslope-intercept formIHN·tuhr·SEHPTChapter 42Glencoe Algebra 1

NAME4DATEPERIODAnticipation GuideStep 1Before you begin Chapter 4 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 DStatementCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.1. The slope of a line given by an equation in the form y mx bcan be determined by looking at the equation.2. The y-intercept of y 12x - 8 is 8.3. If two points on a line are known, then an equation can bewritten for that line.4. An equation in the form y mx b is in point-slope form.5. If a pair of lines are parallel, then they have the same slope.6. Lines that intersect at right angles are called perpendicularlines.7. A scatter plot is said to have a negative correlation when thepoints are random and show no relationship between x and y.8. The closer the correlation coefficient is to zero, the more closelya best-fit line models a set of data.9. The equations of a regression line and a median-fit line arevery similar.10. An inverse relation is obtained by exchanging the x-coordinateswith the y-coordinates of each ordered pair of the originalrelation.Step 2After you complete Chapter 4 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 43Glencoe Algebra 1Chapter ResourcesEquations of Linear Functions

NOMBRE4FECHAPERÍODOEjercicios preparatoriosEcuaciones de Funciones LinealesPaso 1Antes de comenzar el Capítulo 4 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. La pendiente de una recta dada por una ecuación de la formay mx b se puede determinar mediante la observación dela ecuación.2. La intersección y de y 12x - 8 es 8.3. Si se conocen dos puntos sobre una recta, entonces se puedeescribir una ecuación para esa recta.4. Una ecuación de la forma y mx b está en formapunto-pendiente.6. A las rectas que se intersecan en ángulos rectos se lesllama rectas perpendiculares.8. Entre más cercano se encuentre de cero el coeficiente decorrelación, mejor modela un conjunto de datos la recta demejor ajuste.9. La ecuación de una línea de regresión y una recta de medianoajuste son muy parecidas.10. Una relación inversa es obtenida cambiando las x-coordenadascon las y-coordenadas de cada par pedido de la relación original.Paso 2Después de completar el Capítulo 4 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 44Álgebra 1 de GlencoeCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.7. Se dice que un diagrama de dispersión tiene correlación negativacuando los puntos son aleatorios y no muestran relación entre x y y.

NAMEDATE4-1PERIODStudy Guide and InterventionGraphing Equations in Slope-Intercept FormSlope-Intercept FormSlope-Intercept Formy mx b, where m is the slope and b is the y-interceptExample 1Write an equation in slope-intercept form for the line with a slopeof 4 and a y-intercept of 3.y mx by -4x 3Replace m with -4 and b with 3.Graph 3x - 4y 8.3x - 4y 8-4y -3x 8-4y-4-3x 8-43y x - 24 Lesson 4-1Example 2Slope-intercept formy(4, 1)Original equationO(0, –2)Subtract 3x from each side.Divide each side by -4.x3x - 4y 8Simplify.33The y-intercept of y x - 2 is -2 and the slope is . So graph the point (0, -2). From44this point, move up 3 units and right 4 units. Draw a line passing through both points.Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.ExercisesWrite an equation of a line in slope-intercept form with the given slope andy-intercept.1. slope: 8, y-intercept -32. slope: -2, y-intercept -13. slope: -1, y-intercept -7Write an equation in slope-intercept form for each graph shown.y4.y5.x(0, 3)(1, 0)Oy6.O(4, –2)x(3, 0)O(0, –2)x(0, –5)Graph each equation.7. y 2x 18. y -3x 2yyyxOOChapter 49. y -x - 1x5OxGlencoe Algebra 1

NAME4-1DATEPERIODStudy Guide and Intervention (continued)Graphing Equations in Slope-Intercept FormModeling Real-World DataExampleMEDIA Since 1999, the number of music cassettes sold hasdecreased by an average rate of 27 million per year. There were 124 million musiccassettes sold in 1999.a. Write a linear equation to find the average number of music cassettes sold inany year after 1999.The rate of change is -27 million per year. In the first year, the number of musiccassettes sold was 124 million. Let N the number of millions of music cassettes sold.Let x the number of years since 1999. An equation is N -27x 124.12510075502501234567Years Since 1999Exercises2. POPULATION The population of the United States isprojected to be 300 million by the year 2010. Between2010 and 2050, the population is expected to increaseby about 2.5 million per year.a. Write an equation to find the population P in any year xbetween 2010 and 2050.b. Graph the equation on the grid at the right.c. Find the population in 2050.Chapter 4Percent of Total Music SalesFull-length Cassette Sales3.5%3.0%2.5%2.0%1.5%1.0%02345Projected UnitedStates Population400380360340320300061Years Since 2001PPopulation (millions)1. MUSIC In 2001, full-length cassettes represented 3.4% oftotal music sales. Between 2001 and 2006, the percentdecreased by about 0.5% per year.a. Write an equation to find the percent P of recorded musicsold as full-length cassettes for any year x between2001 and 2006.b. Graph the equation on the grid at the right.c. Find the percent of recorded music soldas full-length cassettes in 2004.2040Years Since 2010xGlencoe Algebra 1Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.c. Find the approximate number of music cassettessold in 2003.N -27x 124Original equationN -27(4) 124Replace x with 4.N 16Simplify.There were about 16 million music cassettes sold in 2003.Music Cassettes SoldCassettes (millions)b. Graph the equation.The graph of N -27x 124 is a line that passesthrough the point at (0, 124) and has a slope of -27.

NAMEDATE4-1PERIODSkills PracticeGraphing Equations in Slope-Intercept Form1. slope: 5, y-intercept: -32. slope: -2, y-intercept: 73. slope: -6, y-intercept: -24. slope: 7, y-intercept: 15. slope: 3, y-intercept: 26. slope: -4, y-intercept: -97. slope: 1, y-intercept: -128. slope: 0, y-intercept: 8Lesson X-14-1Write an equation of a line in slope-intercept form with the given slopeand y-intercept.Write an equation in slope-intercept form for each graph shown.y9.y10.11.y(0, 2)(2, 1)OxOx(2, –4)(0, –3)Graph each equation.12. y x 413. y -2x - 1y(2, –3)14. x y -3yyxOOxxO15. VIDEO RENTALS A video store charges 10 for a rental cardplus 2 per rental.a. Write an equation in slope-intercept form for the totalcost c of buying a rental card and renting mmovies.b. Graph the equation.c. Find the cost of buying a rental card and renting 6 movies.Video StoreRental Costsc20Total Cost ( )Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.xO(0, –1)1816141210012345mMovies RentedChapter 47Glencoe Algebra 1

NAMEDATE4-1PERIODPracticeGraphing Equations in Slope-Intercept FormWrite an equation of a line in slope-intercept form with the given slope andy-intercept.11. slope: , y-intercept: 332. slope: , y-intercept: -43. slope: 1.5, y-intercept: -14. slope: -2.5, y-intercept: 3.542Write an equation in slope-intercept form for each graph shown.y5.y6.(0, 2)(–5, 0)Oy7.(0, 3)(–3, 0)O(–2, 0)xxxO(0, –2)Graph each equation.18. y - x 29. 3y 2x - 62yyxO11. WRITING Carla has already written 10 pages of a novel.She plans to write 15 additional pages per month until sheis finished.a. Write an equation to find the total number of pages Pwritten after any number of months m.b. Graph the equation on the grid at the right.c. Find the total number of pages written after 5 months.Chapter 48xOCarla’s NovelP1008060402001234Months56 mGlencoe Algebra 1Copyright G

Chapter 4 Resource Masters Bothell, WA Chicago, IL † Columbus, OH † New York, NY 000i_ALG1_A_CRM_C04_TP_660499.indd i0i_ALG1_A_CRM_C04_TP_660499.indd i PDF Pass 112/21/10 1:31 AM2/21/10 1:31 AM

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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.