Transcription
Florida Guide to Daily InterventionCourses 1, 2, and 3
Copyright by The McGraw-Hill Companies, Inc. All rights reserved.Printed in the United States of America. Permission is granted to reproduce the materialcontained herein on the condition that such materials be reproduced only for classroomuse; be provided to students, teachers, and families without charge; and be used solelyin conjunction with Glencoe Mathematics: Applications and Concepts. Any otherreproduction, for use or sale, is prohibited without written permission of the publisher.Send all inquiries to:Glencoe/McGraw-Hill8787 Orion PlaceColumbus, OH 43240-4027ISBN 0-07-860284-X1 2 3 4 5 6 7 8 9 10Florida Mathematics: Applications and ConceptsGuide to Daily Intervention066 12 11 10 09 08 07 06 05 04 03
ContentsTeacher’s Guide to Using the Guide to Daily Intervention . . . . . . . . . . . . . . . . . . . . . . . . . . . .ivDaily Intervention for Florida Students and Teachers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1Daily Intervention in the Florida Student Edition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2Daily Intervention in the Teacher Classroom Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3Daily Intervention on the Internet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .4Daily Intervention with Other Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5Student Remediation Plan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .6Florida Sunshine State Standards and Grade Level Expectations, Grade 6,Correlated to Glencoe Mathematics: Applications and Concepts, Course 1 . . . . . . . . . . . . . .9Glencoe Mathematics: Applications and Concepts, Course 1,Correlated to Florida Daily Intervention Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .16Florida Sunshine State Standards and Grade Level Expectations, Grade 7,Correlated to Glencoe Mathematics: Applications and Concepts, Course 2 . . . . . . . . . . . . .44Glencoe Mathematics: Applications and Concepts, Course 2,Correlated to Florida Daily Intervention Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .52Florida Sunshine State Standards and Grade Level Expectations, Grade 8,Correlated to Glencoe Mathematics: Applications and Concepts, Course 3 . . . . . . . . . . . . .77Glencoe Mathematics: Applications and Concepts, Course 3,Correlated to Florida Daily Intervention Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .84 Glencoe/McGraw-HilliiiGlencoe Mathematics: Applications and Concepts
Teacher’s Guide to Usingthe Guide to Daily InterventionToday it is vital that students understand the mathematics that they are learning.Using computers on the job, making good consumer choices, evaluatinginformation, and other life skills depend upon good mathematics skills. Since notwo students are exactly the same, in every classroom there will be students of variousabilities and skill levels. This booklet focuses on ways that teachers can intervene toassist the struggling student to improve his or her performance. Helping all studentssucceed in mathematics and develop their mathematical reasoning skills is anambitious and worthwhile goal.In order to ensure students’ success, teachers can follow a three-step process of dailyintervention.1. Assessment of individual student needs Teachers need to evaluate the needs ofstudents in order to meet those needs.2. Ongoing evaluation of student progress Monitoring students’ progress andunderstanding on a daily basis allows a teacher to head off trouble.3. Monitoring instructional activities to strengthen students’ weaknessesProviding opportunities for students to immediately address any weaknesses ensuresstudents’ continued success.The Glencoe Mathematics: Applications and Concepts programs include tools fordaily intervention in the Student Edition, the Teacher Wraparound Edition, the TeacherClassroom Resources, the Internet, and other products. Using these tools can helpyou help your students realize mathematical success. The following pages detail eachresource available and the correlations show how they are used in each lesson ofGlencoe Mathematics: Applications and Concepts. Glencoe/McGraw-HillivGlencoe Mathematics: Applications and Concepts
Daily Intervention forFlorida Students and TeachersThis booklet contains correlations to materials available from Glencoe/McGraw-Hill that can assist youin preparing your students for success on the Florida Comprehensive Assessment Test (FCAT). Inaddition, the Florida Sunshine State Standards and Grade Level Expectations for grades 6 through 8 areincluded for your convenience.The following overview details each correlated component and how it can help meet your assessmentneeds.GLENCOEMATHEMATICSGradeFCAT Practice and Sample Test Workbooks,Grades 6–8, Student SGrade8Includes: Grade 6 Sunshine StateStandards and Grade LevelExpectations Mathematical Formulas Diagnostic TestIncludes: Numerous Practice Questions Grade 7 Sunshine Statefor each BenchmarkStandards and Grade Level 2 Full-Size Sample ExpectationsTests Student RecordingSheet MathematicalFormulas Diagnostic TestThese three workbooks include a diagnostic test and practicefor each Sunshine State Standard tested on the Grade 6–8FCAT, including multiple choice, gridded response, shortresponse, and extended response. In addition, a sample test isprovided in each workbook. Each item in the diagnostic andsample tests is also referenced by standard so students cantrack their proficiency using the student recording chart. Thischart allows students to pinpoint standards where they needadditional practice. Lists of the Sunshine State Standards andGrade Level Expectations are also included.Includes: Numerous Practice Questions Grade 8 Sunshine Statefor each BenchmarkStandards and Grade Level 2 Full-Size Sample ExpectationsTests Student RecordingChart MathematicalFormulas Diagnostic Test Numerous Practice Questionsfor each Benchmark 2 Full-Size Sample Tests Student Recording ChartFCAT Practice and Sample TestWorkbooks, Student EditionsFCAT Practice and Sample Test Workbooks,Grades 6–8, Teacher’s Annotated EditionsGLENCOEMATHEMATICSTeacher’s Annotated EditionGradeIn the Teacher’s Annotated Editions of the FCAT Practice andSample Test Workbooks, answers are printed full-size, in placeon the student pages of the diagnostic test, practice, and sampletest pages. Correlations of the Sunshine State Standards andGrade Level Expectations to Glencoe Mathematics: Applicationsand Concepts, Courses 1–3, are also included. A class recordingchart allows you to record diagnostic test scores to quickly seeon which standards your students need additional 6Teacher’s Annotated Edition8Teacher’s Annotated EditionGrade8Includes: Grade 6 Sunshine State Standards andGrade Level ExpectationsIncludes: Correlation of Sunshine State Standards toGlencoe’s Mathematics: Applications andConcepts, Course 1 Mathematical Formulas Grade 8 Sunshine StateStandardsDiagnosticTestandGrade Level Expectations Numerous Practice Questions for each Correlation of SunshineState Standards toBenchmarkGlencoe’s Mathematics: Applications and 2 Full-Size Sample Tests with AnswerConcepts, Course 3 and Pre-AlgebraAnnotationsIncludes: Mathematical Formulas Class Recording Chart Grade 8 Sunshine StateStandardsDiagnosticTestandGrade Level Expectations Numerous Practice Questions for each Correlation of SunshineState Standards toBenchmarkGlencoe’s Mathematics: Applications and 2 Full-Size Sample Tests with AnswerConcepts, Course 3 and Pre-AlgebraAnnotations Mathematical Formulas Class Recording Chart Diagnostic Test Numerous Practice Questions for eachBenchmark 2 Full-Size Sample Tests with AnswerAnnotations Class Recording ChartFCAT Practice and SampleTest Workbooks,Teacher’s Annotated Editions Glencoe/McGraw-Hill1Glencoe Mathematics: Applications and Concepts
Daily Intervention in the Florida Student Edition Every Florida Sunshine State Standard is correlated to aLesson in the Florida Student Edition. In the Getting Started section at the beginning of each chapterin the Florida Student Edition, the Prerequisite Skills checkstudents’ preparedness for the chapter. You can check priorknowledge by reviewing prerequisite topics and explaininghow these prerequisite topics are related to the currentconcept. Additional practice of Prerequisite Skills is provided at theend of each lesson with page references to help students reviewthe concepts. These exercises review concepts and skills thatwill be applied in the next lesson. The Prerequisite Skillssection in the Student Handbook in the back of the FloridaStudent Edition provides explanation and practice of skills thatare needed for success in the course.Course 1, Florida Student Edition,p. 49 You can use the Skill and Concept Check exercises in classto ensure that all students understand the concepts. Studentscommunicate their understanding of the concepts just taughtby defining, describing, and explaining mathematical concepts.Find the Error exercises help students identify and addresscommon errors before they occur. Guided Practice These exercises present a representative sample ofthe exercises in the Practice and Apply section. A key is provided inthe Florida Teacher Wraparound Edition that correlates the exercisesto the corresponding examples. Application Students have the opportunity to solve a real-world ormathematical connection problem as a check for understanding.Course 3, Florida Student Edition,p. 30 Mixed Problem Solving, also in the back of the Florida StudentEdition, includes numerous verbal problems for students to reinforcetheir problem-solving skills.Extra PracticeLesson 1-1(Pages 6–9)Use the four-step plan to solve each problem.1. The Reyes family rode their bicycles for 9 miles to the park. The rideExtra Practice Extra Practice, located in the back of the Florida Student Edition,provides additional, immediate practice with the skills and conceptsfrom each lesson.2.3.4.5.back was along a different route for 14 miles. How many miles didthey ride in all? 23 miA farmer planted 389 acres of land with 78,967 corn plants. How manyplants were planted per acre? 203 plantsA group of 251 people is eating dinner at a school fund-raiser. If eachperson pays 8.00 for their meal, how much money is raised? 2,008When Tamika calls home from college, she talks ten minutes per callfor 3 calls per week. How many minutes does she call in a 15-weeksemester? 450 minDarren runs at 6 feet per second and Kim runs at 7 feet per second. Ifthey both start a race at the same time, how far apart are they after oneminute? 60 ftLesson 1-2(Pages 10–13)Write each power as a product of the same factor.1. 1344. 12213 13 13 1312 122. 965. 589 9 9 9 9 95 5 5 5 5 5 5 53. 171 1 1 1 1 1 115 15 15 156. 154Evaluate each expression.7. 5611. 1415. 828. 17315,62516412. 5316. 749. 2124,9131252,40113. 10217. 20310. 354,0961008,00014. 2824325674,08818. 423Write each product in exponential form.19. 2 2 2 2 22518422. 18 18 18 1820. 3 321. 1 1 1 1 1 13223. 9 9 9 9 9 9 9 9981624. 10 10 10 10 10 10Lesson 1-3106(Pages 14–17)Evaluate each expression.1. 14 (5 7)4. 12 2 32. (32 10) 5 625. 16 4 567. 2 3 9 212368. 6 (8 4) 22410. 8 (12 4) 8362156 6 0 156102 5 958 103 8,0001.8 102 18010 3(6.1 3.7) 39.43. (50 6) (12 4)6. (5 3) 4 79. 7 6 1412. (80 10) 813. 14 2 7 014.15.16. 3 4 3217.19. (4 3)2 720.22. 4.5 10323.0374,50025. 4(3.6 5.4) 9 2726.18.21.24.27.60252811. 13 6 2 1146430 14 2 8 103 (10 5 1)2 39104 6 60,0003 5(1.7 2.3) 236(7.5 2.1) 2.3 55.3564 Extra PracticeCourse 2, Florida Student Edition,p. 564 Glencoe/McGraw-Hill2Glencoe Mathematics: Applications and Concepts
Daily Intervention in theTeacher Classroom Resources The Study Guide and Intervention masters found in the ChapterResource Masters summarize key concepts for each objective andprovide practice exercises. These masters are also available as aconsumable Study Guide and Intervention Workbook in Englishand Spanish. You may wish to use these masters for additionalinstruction and practice with individual students, in cooperativegroups, or in peer tutoring situations.NAME DATE PERIODStudy Guide and InterventionThe Pythagorean TheoremThe Pythagorean Theorem describes the relationship among the lengths of the sides of any righttriangle. In a right triangle, the square of the length of the hypotenuse is equal to the sum of thesquares of the lengths of the legs. You can use the Pythagorean Theorem to find the length of aside of a right triangle if the lengths of the other two sides are known.Find the missing measure for each right triangle. Round to thenearest tenth.c24 ft20 cm15 cm32 ftb c2 242 322c2 576 1,024c2 1,6001,600c 兹苶c 40c2a2c2 a2 b2202 152 b2400 225 b2400 225 225 b2 225175 b2兹苶175 兹苶b213.2 bb2The length of the hypotenuseis 40 feet.The length of the other legis about 13.2 centimeters.Write an equation you could use to find the length of the missing sideof each right triangle. Then find the missing length. Round to thenearest tenth if necessary.1.2.4 ft3.cc5 ft9m15 in.5m25 in.4. a 7 km, b 12 km5. a 10 yd, c 25 yd148 Glencoe/McGraw-Hilla6. b 14 ft, c 20 ftMathematics: Applications and Concepts, Course 3Course 3, Chapter 3 ResourceMasters, p. 148Use with Lesson2-4(over Lesson 2-3)Make a line plot for each set of data. Identifyany clusters, gaps, or outliers.1.Bicycle Prices150 175 130 150 190 230 200 180175 175 160 150 175 140 140 85 2. Use the line plot at the right that shows the number of students in each classroom throughout the510152025school. What is the most common class size?3. 30 5-Minute Check Transparencies with Standardized Test PracticeFor each lesson, there is a full-size transparency with questionscovering the previous lesson or chapter. Also included on eachtransparency is a Standardized Test Practice question. Theseprovide an excellent ongoing opportunity for checking students’understanding of the mathematics they are learning.Using the line plot fromExercise 3, which of the following describes a gap?Standardized Test PracticeA5–13B14–20ANSWERS1. 507090C11013015031–25D 17019025–30 210230250outlier 85; gap 85–130 and 200–230; cluster 130–2002. 203. A Glencoe/McGraw-HillMathematics: Applications and Concepts, Course 2Course 2, 5-Minute CheckTransparency 2-4 Parents or guardians may need specific advice for helping studentsmake improvements. It may help to engage in frequent correspondence,encourage parental monitoring of homework, and provide parentswith a schedule of students’ assignments. The Parent and StudentStudy Guide Workbook contains a one-page worksheet for eachlesson in the Florida Student Edition and a one-page review for eachchapter. This workbook offers an excellent opportunity for studentsand parents to work together to strengthen weaknesses and developmathematical understanding.NAME DATE PERIODMaking Predictions (pages 66–69)You can use a line graph to help you make predictions.Predicting witha Line GraphTo make a prediction with a line graph, Extend the graph with a dashed line. From the point on the dashed line that shows where you want to makeyour prediction, draw a horizontal line to the left to meet the vertical axis. Read the value on the vertical axis.The graph at the right shows how many booksKara and Bill read each month.A What is the difference in April between thenumber of books Kara and Bill read?Books Read Each Month108Number 6of Books 420Kara read 7 and Bill read 4, so the difference is 3.B Predict how many books Bill will read in May.KaraBillJan Feb Mar Apr MayMonthThe extended line has a value on the vertical axis of 3 books.Try These Together1. Use the graph above to predict howmany books Kara will read in May.2. How many more books would youexpect Kara to read than Bill in May?HINT: Extend the line for Kara.HINT: Use your predictions for Kara and Bill.3. Sports The line graph shows how many laps Dominicswam each week for 6 weeks.a. Predict how many laps he will be able to swim in Week 7.b. How many more laps did he swim in Week 4 than in Week 1?c. Would you predict that Dominic will be able to swim morethan 10 laps in Week 8?B4.CCAB5.CB6.A7.8.BA4. Standardized Test Practice This line graphshows Jessica and Jared’s math test scoresfor one week. Which day did they have thesame score?A MondayB TuesdayC WednesdayD FridayMath Test Scores353025Scores 20151050JessicaJaredMon Tue Wed Thu FriDay4. C Glencoe/McGraw-Hill13Answers: 1. 8 2. 5 3a. 9 3b. 2 3c. yes3.Laps Dominic Swam876Number 54of Laps32101 2 3 4 5 6WeekParent and Student Study GuideMathematics: Applications and Concepts, Course 1Course 1, Parent and StudentStudy Guide Workbook, p. 13 Glencoe/McGraw-Hill3Glencoe Mathematics: Applications and Concepts
Daily Intervention on the Internet Online Study Tools These comprehensive review and intervention tools are available anytime,anyplace, simply by logging on to:fl.msmath1.netfl.msmath2.netfl.msmath3.net Self-Check Quizzes are available for every lesson.Immediate feedback lets the student know whether theanswers are correct and references specific pages andexamples in the Florida Student Edition for review.Access the Self-Check Quizzes directly at:msmath1.net/self check quiz/fcatmsmath2.net/self check quiz/fcatmsmath3.net/self check quiz/fcat Extra Examples that mimic the ones in the FloridaStudent Edition are completely worked out and availablefor students to review at:msmath1.net/extra examples/fcatmsmath2.net/extra examples/fcatmsmath3.net/extra examples/fcatYou may wish to use these examples in reteaching or tohave students review areas of weakness. Vocabulary Review lets you and your students checktheir understanding of the terms and definitions used ineach chapter. Access this game-style review at:msmath1.net/vocabulary reviewmsmath2.net/vocabulary reviewmsmath3.net/vocabulary review Glencoe/McGraw-Hill4Glencoe Mathematics: Applications and Concepts
Daily Intervention with Other Resources The Math Skills Maintenance Masters provide extra practice onbasic skills that are needed for success in the course. You may usethese pages to give students an opportunity to review and refresh theirskills. Topics addressed include:NAME DATE PERIOD23Math Skills MaintenanceOperations with DecimalsFind each sum, difference, product, or quotient. Round to the nearesthundredth if necessary.1. 61.23 24 2.647.27 49.153. 97.31 67 4.5.45.53 7.576. 54冄863.14 94.2377. 9 67.17 10. 115 5.21 8. 719.31 39 11. 8冄87.149. Operations with Whole Numbers Operations with Decimals Operations with Fractions Operations with Integers Estimation Properties Measures in the Metric and Customary Systems Graphing179.23 99.2312. 0.67913. The championship team received 24,980.43 for winning the game.If 5 players get to split the money,how much does each person get?14. Erinn and her friends are buying 8 pairsof sunglasses. If each pair of sunglassescosts 12.99, how much will Erinn andher friends spend?15. Taylor went to the concession standand bought a hotdog for 1.50, asoda for 0.75 and a candy bar for 0.55. How much did she spend?What was her change if she paid witha 5.00 bill?16. Tameka can run a mile in 7 minutes and15 seconds. Kelsey can run a mile in 8minutes and 5 seconds. How much fastercan Tameka run a mile than Kelsey? Glencoe/McGraw-Hill51Skill 23Solve.Mathematics: Applications and Concepts, Course 2Course 2, Math SkillsMaintenance, p. 51 The MathPASS Tutorial CD-ROM provides aninteractive, self-paced tutorial for a mathematicscurriculum. The lessons are correlated directly toGlencoe Mathematics: Applications and Concepts. Eachlesson, or concept, includes a pretest, tutorial, guidedpractice, and posttest. Students’ answers to the pretestsautomatically determine whether the tutorial is neededfor that concept—without taking teacher time to grade it.This software is designed to identify and address studentweaknesses. Quick Review Math Handbook is Glencoe’s mathematicalhandbook for students. The Hot Words section includes aglossary of terms while the Hot Topics section consists ofexplanations of key mathematical concepts. An exercise setis included to check students’ understanding of the concepts.This valuable resource can be used as a reference in theclassroom or for home study.Boo kBoo kBoo k Glencoe/McGraw-Hill5Glencoe Mathematics: Applications and Concepts
Glencoe/McGraw-Hill 3 Glencoe Mathematics: Applications and Concepts The Study Guide and Interventionmasters found in the Chapter Resource Masters summarize key concepts for each objective and provide practice exercises. These masters are also available as a consumable Stu
