## Overview Order Positive And Negative Numbers

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LESSON 24Overview Order Positive and Negative NumbersSTANDARDS FOR MATHEMATICALPRACTICE (SMP)ObjectivesVocabularySMP 1, 2, 3, 4, 5, and 6 are integrated into theTry-Discuss-Connect routine.*Content Objectives Math VocabularyThis lesson provides additional support for: 2 Reason abstractly and quantitatively.* See page 1q to learn how every lesson includesthese SMP. Compare and order positive and negativenumbers.Interpret numerical inequalities asstatements about position of numbers ona number line.Write and interpret inequalities in real-world contexts.Language Objectives Use lesson vocabulary and direction andcomparison words, such as left, right, up,down, farther, best, and worst, to talkabout ordering and comparing positiveand negative numbers.Read and interpret word problems toidentify key quantities and comparethem using words and inequality statements in discussion and writing.Prior Knowledge Locate positive and negative numbers onthe number line.Compare and order positive rationalnumbers.Use positive and negative numbers torepresent real-world quantities andexplain the meaning of 0 in context.There is no new vocabulary. Review thefollowing key terms.compare to describe the relationshipbetween the value or size of two numbersor quantities.inequality a mathematical statement thatuses an inequality symbol (,, ., #, ) toshow the relationship between values ofexpressions.negative numbers numbers that are lessthan 0. They are located to the left of 0 on ahorizontal number line and below 0 on avertical number line.positive numbers numbers that aregreater than 0. They are located to the rightof 0 on a horizontal number line and above0 on a vertical number line.rational number a number that can beexpressed as the fraction  ba or the··opposite of   a , where a and b are wholeb·· numbers and b Þ 0. Rational numbers canalso be expressed as a decimal.Academic Vocabularyinterpret to explain the meaning ofsomething.lesser less or smaller in value.relative to compared to something orsomeone else.Learning ProgressionIn earlier grades, students located andlabeled positive whole numbers,fractions, and decimals on the numberline and compared them usinginequality symbols and words. Theyordered positive rational numbers.In the previous lesson, studentslocated positive and negative wholenumbers, fractions, and decimals andtheir opposites on the number line. Theydescribed the value of positive andnegative rational numbers in relation to0 and in real-world contexts.553aLESSON 24 Order Positive and Negative NumbersIn this lesson, students compare andorder positive and negative rationalnumbers. They interpret inequalities asstatements about the relative positionof numbers on the number line.They also write inequalities torepresent and interpret inequalities inreal-world contexts.Later in Grade 6, students will extendtheir understanding of locatingnumbers on the number line tointerpret the absolute value of anumber. They will also write and graphinequalities with variables andunderstand that these inequalities haveinfinitely many solutions.In Grade 7, students will writeinequalities with a variable to representreal-world situations with unknowns.They will solve inequalities that includea variable and graph solutions toinequalities on the number line. Curriculum Associates, LLCCopying is not permitted.

LESSON 24OverviewPacing GuideItems marked withSESSION 1 are available on the Teacher Toolbox.MATERIALSDIFFERENTIATIONExplore Ordering Positive and Negative Numbers (35–50 min)Start (5 min)Try It (5–10 min)Discuss It (10–15 min)Connect It (10–15 min)Close: Exit Ticket (5 min)Math Toolkit algebra tiles, numberlines, two-color countersPresentation SlidesPREPARE Interactive TutorialRETEACH or REINFORCE Hands-On ActivityMaterials For each pair: 1 sticky noteAdditional Practice (pages 557–558)SESSION 2 Develop Comparing Positive and Negative Numbers (45–60 min)Start (5 min)Try It (10–15 min)Discuss It (10–15 min)Connect It (15–20 min)Close: Exit Ticket (5 min)Math Toolkit graph paper,number linesPresentation Slides REINFORCE Fluency & Skills PracticeEXTEND Deepen UnderstandingAdditional Practice (pages 563–564)SESSION 3RETEACH or REINFORCE Hands-On ActivityMaterials For each pair: 1 two-color counter,1 number cube, Activity Sheet Number LinesRefine Ordering Positive and Negative Numbers (45–60 min)Start (5 min)Monitor & Guide (15–20 min)Group & Differentiate (20–30 min)Close: Exit Ticket (5 min)Math Toolkit Have items fromprevious sessions available forstudents.Presentation SlidesRETEACH Hands-On ActivityMaterials For each pair: 20 index cardsREINFORCE Problems 4–8EXTEND ChallengePERSONALIZELesson 24 Quiz orDigital Comprehension CheckRETEACH Tools for InstructionREINFORCE Math Center ActivityEXTEND Enrichment Activity Curriculum Associates, LLCCopying is not permitted.LESSON 24 Order Positive and Negative Numbers553b