3 MTXETE064423 M15L01 - Houston Independent School .
15.1Classify Quadrilaterals?Essential Question How can you use right angles and parallel sides tohelp you classify quadrilaterals?Texas EssentialKnowledge and SkillsHow can you use rightangles and parallel sidesto help you classi fyquadrilaterals?Geometry and Measurement—3.6.AClassify and sort two- and three-dimensional solids, includingcones, cylinders, spheres, triangular and rectangularprisms, and cubes, based on attributes using formalgeometric language 3.6.B Use attributes to recognizerhombuses, parallelograms, trapezoids, rectangles, andsquares as examples of quadrilaterals and draw examplesof quadrilaterals that do not belong to any of thesesubcategoriesMATHEMATICAL PROCESSES3.1.D Communicate mathematical ideas and reasoning3.1.F Analyze mathematical relationshipsAre You Ready?Access Prior KnowledgeLesson OpenerMaking ConnectionsInvite students to tell you what they know about figures.What figures do you remember learning about? (Triangle, square, circle, etc.)What do squares, rectangles, rhombuses, and trapezoids have in common? (They have4 sides and 4 angles.)Using the Digital LessonYou may wish to have large pictures of a rectangle, rhombus, square, and trapezoidto use as visual aids when discussing the figures.Use the Are You Ready? 15.1 in theAssessment Guide to assess students’understanding of the prerequisite skillsfor this lesson.Vocabularyangle, vertex, right angle, parallellines, quadrilateral, trapezoid,parallelogram, rectangle, square,rhombusGo to Multimedia eGlossary atthinkcentral.comLearning TaskWhat is the problem the students are trying to solve? Connect the story to the problem.Resources What do you know about the shape of the sign? (It has 4 sides and 4 angles.) Are any of the sides equal in length? (Yes) What are other characteristics about the figure that you notice? (Answers may vary.)Literacy and MathematicsChoose one or more of the following activities. Have students use dot paper to draw 5 to 10 four-sided figures. Have them writeabout the characteristics that they notice about their figures. Have students draw as many road signs as they can. Have students describe thecharacteristics of each sign.For the studentFor the teacherInteractiveStudent Editionprovides studentswith an interactive learningenvironment!Digital ManagementCenter organizes programresources by TEKS!Math on the SpotVideo TutoreTeacherEditionOnline AssessmentSystemiTools VirtualManipulativesSoar to Success MathOnline InterventionLesson 15.1 481A
Name15.1?Unlock the ProblemThis lesson lays the foundation for classifying andmeasuring angles in later grades.Geometry andMeasurement—3.6.A,3.6.BMATHEMATICAL PROCESSES3.1.D, 3.1.FClassify QuadrilateralsEssential QuestionHow can you use right angles and parallel sides tohelp you classify quadrilaterals?UnlockUnlock thethe ProblemProblem What do we call a plane figure with straight sidesthat are line segments? a polygonAn angle is formed by two rays that share anendpoint. Two dimensional figures have anglesformed by two line segments that share an endpoint.The shared endpoint is called a vertex. The plural ofvertex is vertices. How do you know that two of the angles inJason’s polygon are right angles? You can comparethe angles to the corner of a sheet of paper.Math IdeaJason drew this polygonon dot paper. If you rotate Jason’s figure so the square cornersare both on the bottom or both on the top,are they still right angles? Explain. Yes; possibleA polygon isa closed planefigure withstraight sides thatare line segments.4There areangles.4There aresides.explanation: changing the position of the angle will notchange the type of angle.rayendpointJason’s polygon has 2 right angles. They formsquare corners. You can use the corner of a sheet ofpaper to tell if an angle is a right angle. Draw boxesto show the right angles. How would you describe the other angles inJason’s polygon? Possible answer: one angle is greaterthan a right angle and one angle is less than a right angle.Review with students the meaning of the wordparallel.Look at Jason’s polygon.How many pairs of sidesare parallel? Who can give a real-world example of parallellines? Possible answer: railroad tracks, steps on a ladder,Think: Which sides willnever cross or meet?chains on a swingset Why can’t parallel lines ever cross? The lines areLines that appear to never cross or meet and are alwaysthe same distance apart are parallel lines. Why aren’t the blue and pink sides of Jason’sshape parallel? The lines cross or meet at a right angle. How could you change the shape so there wouldbe 2 pairs of parallel sides? Make the blue side aslong as the green side and the orange side as long asthe pink side.English Language LearnersLeveled ActivitiesELPSBeginning: Activity 201.A.1, 3.G.2, 4.C.3Intermediate: Activity 251.A.2, 3.D.2, 3.H.3,4.DAdvanced: Activity 582.C.2, 4.C.3, 4.F.9Advanced High: Activity 434.F.8, 4.G.2, 4.G.4Go to thinkcentral.com for the ELL ActivityGuide containing these leveled activities.481 Module 15 Houghton Mifflin Harcourt Publishing Companyalways the same distance apart.1pair of parallel sides.So, Jason’s polygon hasELL Language SupportModule 15 481Auditory / VisualSmall GroupELPS 2.C.1, 2.C.2, 2.I.3Strategy: Explore ContextMaterials: pairs of things such as shoes, socks, gloves Students use prior knowledge to understand expressions. Explain that a pair is two of something. Point out things that come inpairs: a pair of shoes, a pair of socks, or a pair of gloves. Show two gloves. Here is one pair of gloves. How many gloves arethere? 2 Add two more gloves. Here are two pairs of gloves. How many glovesare there now? 4 Show students a rectangle and discuss the pairs of parallel sides. Helpstudents see that there are two sides in each pair.
Classify Quadrilaterals Quadrilaterals arenamed by their sides and their angles.ERROR AlertClassify QuadrilateralsSome quadrilateralscannot be classified as atrapezoid, parallelogram,rectangle, square, orrhombus.Describe quadrilaterals.quadrilateralDiscuss with students the meaning of opposite. Askthem to use the word as they would in everyday life.Then discuss the meaning of the word as it pertainsto sides of quadrilaterals.4sides4angles Draw a quadrilateral on the board and indicateopposite sides by drawing arrows that pointto each side. Draw an arrow that points to anadjacent side as well.trapezoid1exactlypair of opposite sides that are parallellengths of sides could be the same Ask students to identify the pair of opposite sidesand to explain their choice.parallelogramHave students make connections to what they havelearned about quadrilaterals.2pairs of opposite sides that are parallel2pairs of sides that are of equal length What is true about all quadrilaterals? They all haverectanglesquarerhombus2 pairs of opposite2 pairs of opposite2 pairs of oppositesides that are parallelsides that are parallelsides that are parallel2 pairs of sides that4 sides that are of4 sides that are ofare of equal lengthequal lengthequal length4 right angles4 right anglesfour sides and four angles. How might quadrilaterals be different? Possibleanswer: they might have different kinds of angles, and notevery quadrilateral will have the same number of sides ofequal length or the same number of pairs of parallel sides.Have students look at each quadrilateral to completethe descriptions of the quadrilaterals. Then ask:Math TalkMathematical ProcessesPossible explanation: a square is a rectangle becauseit has 2 pairs of opposite sides that are parallel, 2 pairsof sides of equal length, and 4 right angles. A square isa rhombus because it has 2 pairs of opposite sides thatare parallel and 4 sides of equal length.Explain why a squarecan also be nameda rectangle or arhombus.482 Houghton Mifflin Harcourt Publishing Company Which quadrilaterals have two pairs of oppositesides that are parallel? square, rectangle, rhombus, andparallelogram Which quadrilaterals are also parallelograms?Explain. square, rectangle, and rhombus because oppositesides are parallel and of equal length Are all quadrilaterals also rectangles? Explain. No;possible explanation: a trapezoid is a quadrilateral, but it isnot a rectangle.Math TalkEnrichVisual / SpatialIndividualMathematical ProcessesUse Math Talk to focus on students’ understandingof why a square is a special type of rectangle andrhombus.Materials: ruler, Dot Paper (see eTeacher Resources) Write the following directions on the board andhave students draw each shape on square dot paper.1. Draw a quadrilateral with 2 right angles and exactly1 pair of opposite sides that are parallel.2. Draw a quadrilateral with 2 pairs of opposite sides thatare parallel and 2 angles that are greater than a rightangle. Then have students draw another quadrilateral and writedirections for how to draw it. Possible directions: Draw aCOMMON ERRORSCEErrorStudents may not identify a square as arectangle or a rhombus.Example Students may not remember theattributes of a rectangle or a rhombus whenidentifying possible names for a square.Springboard to Learning Review the propertiesof a square, a rectangle, and a rhombus. Point outthat a square is a special kind of rectangle and aspecial kind of rhombus.quadrilateral with 4 right angles and all sides of equal length.Go to Go to thinkcentral.com for additional enrichmentactivities in the Enrich Activity Guide.Lesson 15.1 482
NameShareShare andand ShowShowShare and ShowLook at the quadrilateral at the right.The first three problems connect to the learningmodel. Have students use the MathBoard to explaintheir thinking.1.bHow many right angles are in the quadrilateral?4right anglesUse the checked exercises for Quick Check.2.a and c, b and dWhich sides appear to be parallel?3.rectangleName the quadrilateral.acd32Circle all the words that describe the quadrilateral.Quick Check14.IFTHEN5.rectanglea student misses the checked exercisesDifferentiate Instruction withRtI Tier 1 Lesson gramrectangleProblemProblem SolvingSolvingProblem SolvingAnalyze Write all or some to complete thesentence for 6–9.ProblemsExercises 6–9 require students to analyze attributes ofquadrilaterals.Problem 11 requires students to visualize whichquadrilaterals can be named, given the propertieslisted.6.allThe opposite sides ofrectangles are parallel.7.All sides of a rhombus are thesame length.8.Some rhombuses are squares.9.All trapezoids have 1 pair ofopposite sides that are parallel.10.Communicate I am a quadrilateral that has no right anglesand 4 sides that are of equal length. What figure am I?Go Deeper Houghton Mifflin Harcourt Publishing CompanyTo extend students’ thinking, have students write thename of a quadrilateral and then write a descriptionof it in their own words. Tell them to be sure to writeenough information so that if anyone draws it usingthe description, they will draw the correct figure.Then have volunteers read their descriptions whileother volunteers identify the figures.rhombus11.Multi-Step I am a polygon that has 4 sidesand 4 angles. All of my angles are right angles. Circle all thefigures that I could allelogramModule 15 Lesson 1 483MMathon the SpotVideo TutorV3RtI Tier 1 Lesson 7221Through the Math on the Spot Video Tutor,students will be guided through an interactivesolving of this type of H.O.T. problem. Use thisvideo to also help students solve the H.O.T.problem in the Interactive Student Edition. Withthese videos and the H.O.T. problems, studentswill build skills needed in the TEXAS assessment.NameNameLESSON72OBJECTIVE Describe, classify, and compare quadrilaterals based on their sides and angles.square3.6.A, 3.6.BQuadrilateral RiddlesRead the riddles and name the plane figure that isbeing described.rectangle 2 pairs of opposite sides that areparallel 4 sides that are of equal length 4 right angles1. 2 pairs of opposite sides that areparallel 2 pairs of opposite sides that areof equal length 4 right anglesrhombus 2 pairs of opposite sides that areparallel 4 sides that are of equal length5. Houghton Mifflin Harcourt Publishing CompanyHow can you classify the quadrilateral?It has only 1 pair of sides that are parallel.The lengths of all 4 sides are not equal.So, the quadrilateral is a ctangletrapezoidparallelogramrhombusGeometry and MeasurementI am a quadrilateral with 4 sidesthat are of equal length and 4 rightangles. What shape am I?Possible answers:square, rhombus,rectangleI am a quadrilateral with 2 pairsof opposite sides that are parallel,2 pairs of sides that are of equallength, and 4 right angles. I am nota square. What shape am I?4.I am a polygon with 4 sides and4 angles. I do not have any pairsof opposite sides that are parallel.What shape am I?quadrilateralJerome drew a plane figure and described it as a square.Kayla described it as a rectangle. Luis described it as a rhombus.Can they all be correct? Explain.Yes; possible answer: a square is alsoa rhombus because it has 4 sides of equallength. A square is also a rectangle becauseit has 2 pairs of opposite sides that areparallel and 2 pairs of sides that are ofequal length.Circle all the words that describe the quadrilateral.1.2.rectangle 1 pair of opposite sides that areparallel; lengths of sides could bethe sametrapezoidI am a quadrilateral with exactly1 pair of opposite sides that areparallel. What shape am I?trapezoid3.parallelogram 2 pairs of parallel sides 2 pairs of equal sidesEnrich 691Classify QuadrilateralsYou can classify quadrilaterals by their sides and by their angles.Math on the Spot videos are in theInteractive Student Edition and atthinkcentral.com.483 Module 15Enrich 69143Enrich Houghton Mifflin Harcourt Publishing CompanyE69
Mathematical ProcessesModel Reason CommunicateDailyDaily AssessmentAssessment TaskTask3Daily Assessment TaskFill in the bubble for the correct answer choice.13.14.While playing football after school, Jesse noticesthat the distance marker contains a quadrilateralwith one pair of opposite sides that are parallel.What type of quadrilateral is it?ArectangleBtrapezoidCsquareDrhombusTHENIFNO Soar to Success MathWarm-Up 38.31YESDean makes a pattern using 10 square tiles. How manypairs of opposite sides are parallel in the 10 square tiles?A20C40B10D0 Multi-Step Carina is using scraps of fabricto make a quilt. How many of the fabricscraps are in the shape of rhombuses?A1C0B2D3There is 1 right angle.BThere are 4 right angles.CThere are no right angles.DThere are 2 right angles.484Enrich 69Homework and PracticeTEXAS Test Prep CoachTest Prep Coach helps teachers to identify commonerrors that students can make.In the Test Prep exercise, if students selected:What is a true statement about the quadrilateralat the right?A Lesson 15.1TEXAS Test Prep15.1Can students use right angles and parallel sides toclassify quadrilaterals? Houghton Mifflin Harcourt Publishing Company Image Credits: Photodisc/Getty Images12.2A They do not see the second right angle in thetrapezoid.B They think all 4 angles are right angles in thetrapezoid.C They are unable to identify the 2 right angles inthe trapezoid.?Essential QuestionWriteMathHow can you use right angles and parallel sides tohelp you classify quadrilaterals? All quadrilaterals have4 sides and 4 angles, and have special names if the oppositesides are parallel or equal in length, or if the angles are rightangles.Differentiated Centers KitActivitiesClassification ActStudents complete orangeActivity Card 18 by classifyingtwo-dimensional figures based ontheir attributes.ActivitiesWhat Figure?Students complete purple ActivityCard 18 by identifying anddefining two-dimensional figuresby playing a game.Lesson 15.1 484
5Geometry and Measurement—3.6.A,3.6.BMATHEMATICAL PROCESSES 3.1.D, 3.1.FHo mewo rkand Practice15.1NameFill in the bubble completely to show your answer.9.Classify QuadrilateralsCircle all the words that describe the mProblem SolvingSolving11.Write all or some to complete the sentence for 3–6.Somerectangles are squares.4.Allangles of a rectangleare right angles.5.Someparallelograms haveall 4 sides that are equal in length. Houghton Mifflin Harcourt Publishing Company7.8.6.Sometrapezoids have2 sides that are equal in length.Lily makes an art poster that hasexactly one pair of opposite sidesthat are parallel and 2 sides that arethe same length. What figure is elogram10.Desmond draws a polygon that has4 sides that are the same length andno right angles. How can Desmondclassify the polygon he drew?AsquareBrhombusCrectangleDparallelogramKara makes the kite shown at theright from 4 triangles. What is theshape of Kara’s kite?AsquareBparallelogramCrhombusDquadrilateralI am a polygon that has 2 pairs of opposite sides that areparallel. Circle all of the figures that I could srectangle12.I am a quadrilateral that has 4 right angles. My oppositesides are parallel and of equal length. What figure am I?squareModule 15 Lesson 1Homework and PracticeUse the Homework and Practice pages to providestudents with more practice on the concepts andskills of this lesson.485-486Module 15485486Multi-Step Ben is making cutoutsto use in an art design. How manyof the cutouts have the shape ofa rectangle?A5B2C4D3 Houghton Mifflin Harcourt Publishing Company3.TEXAS Test PrepLessonLesson CheckCheck
cannot be classified as a trapezoid, parallelogram, rectangle, square, or rhombus. Mathematical Processes alk rectangle _ pairs of opposite sides that are parallel _ pairs of sides that are of equal length _ right angles square _ pairs of opposite sides that are parallel _ sides that are o
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Artificial intelligence (AI) is transforming the global financial services industry. As a group of rapidly related technologies that include machine learning (ML) and deep learning(DL) , AI has the potential to disrupt and refine the existing financial services industry. I review the extant academic, practitioner and policy related literatureAI. I also detail the AI, ML and DL taxonomy as well .
