Kindergarten Unit 2 Geometry and Classifying Objects by Attributes Mathematics

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1 Unit Gals Stage 1 Number f Days: 24 Octber 16 Nvember 17, 2017 Unit Descriptin In Unit 2 the students develp gemetric cncepts and spatial reasning. They recgnize shapes in their envirnment and use this cntext t identify and describe the psitin f shapes. They identify, name, and describe basic tw-dimensinal shapes in different sizes and rientatins. They explre 3-dimensinal shapes thrugh explratins and can describe the differences between 2- dimensinal and 3-dimensinal shapes. Students srt and classify bjects int given categries and cntinue their wrk develping cardinality. Materials: Attribute shapes, gemetric slids, blcks, tangrams, attrilinks, pattern blck, and srting mats. Standards fr Mathematical Practice Transfer Gals Students will be able t independently use their learning t SMP.1 Make sense f prblems and Make sense f never-befre-seen prblems and persevere in slving them. persevere in slving them. Cnstruct viable arguments and critique the reasning f thers. SMP.2 Reasn abstractly and Making Meaning SMP.3 SMP.4 SMP.5 SMP.6 SMP.7 SMP.8 quantitatively. Cnstruct viable arguments and critique the reasning f thers. Mdel with mathematics. Use apprpriate tls strategically Attend t precisin. Lk fr and make use f structure. Lk fr and express regularity in repeated reasning. Standards fr Mathematical Cntent Clusters Addressed Measurement and Data [s]k.md.b Classify bjects and cunt the number f bjects in each categry. Gemetry [s]k.g.a Identify and describe shapes (squares circles, triangles rectangles, hexagns, cubes, cnes, cylinders, and spheres). [a]k.g.b Analyze, cmpare, create, and cmpse shapes. UNDERSTANDINGS Students will understand that Objects in the envirnment can be described by shape names. Shapes have attributes by which they can be described, srted and classified regardless f their rientatin. Shapes can be cmpsed frm ther shapes. KNOWLEDGE Students will knw The definitins f the academic vcabulary wrds such as abve, alike, behind, belw, beside, circle, classify, crners, curve, different, hexagn, in frnt f, next t, side, size, shape, square, three-dimensinal, triangle, twdimensinal, vertex, and vertices. The size and rientatin f a shape des nt change the name f the shape. Shapes have attributes that define them. Three-dimensinal shapes are created frm 2-dimensinal shapes LBUSD 1 Acquisitin ESSENTIAL QUESTIONS Students will keep cnsidering What shape is the bject? What are attributes and hw d attributes help t describe, srt and classify shapes? Hw can I make/build shapes? SKILLS Students will be skilled at and/r be able t Relate shape names t bjects in their envirnment. Describe shapes accrding t their attributes. Cunt, classify and srt shapes accrding t their attributes. Cmpse shapes frm ther shapes.

2 Standards fr Mathematical Practice Assessed Grade Level Standards SMP.1 SMP.2 SMP.3 SMP.4 SMP.5 SMP.6 SMP.7 SMP.8 Make sense f prblems and persevere in slving them. Reasn abstractly and quantitatively. Cnstruct viable arguments and critique the reasning f thers. Mdel with mathematics. Use apprpriate tls strategically Attend t precisin. Lk fr and make use f structure. Lk fr and express regularity in repeated reasning. Standards fr Mathematical Cntent Measurement and Data [s] K.MD.B Classify bjects and cunt the number f bjects in each categry. K.MD.3 Classify bjects int given categries: cunt the number f bjects in each categry and srt the categries by cunt. Gemetry [s] K.G.A Identify and describe shapes (squares circles, triangles, rectangles, hexagns, cubes, cnes, cylinders, and spheres). KG.1 Describe bjects in the envirnment using names f shapes, and describe the relative psitins f these bjects using terms such as abve, belw, beside, in frnt f, behind, and next t. K.G.2 Crrectly name shapes regardless f their rientatins r verall size. K.G.3 Identify shapes as tw-dimensinal (lying in a plane, flat ) r here-dimensinal (slid). [a] K.G.B K.G.4 having K.G.5 K.G.6 Analyze, cmpare, create, and cmpse shapes Analyze and cmpare tw-and-three dimensinal shapes, in different sizes and rientatins, using infrmal language t describe their similarities, differences, parts (e.g., number f sides and vertices/ crners ) and ther attributes (e.g., sides f equal length). Mdel shapes in the wrld by building shapes frm cmpnents (e.g., sticks and clay balls) and drawing shapes. Cmpse simple shapes t frm larger shapes. Fr example, Can yu jin these tw triangles with full sides tuching t make a rectangle? Key: [m] = majr clusters; [s] = supprting clusters; [a] = additinal clusters LBUSD 2

3 Evidence f Learning Stage 2 Assessment Evidence Unit Assessment / Answer Key Students will cmplete selected respnse and cnstructed respnse items t indicate level f mastery/understanding f the unit standards as utlined in this guide. [s] K.MD.B The student will classify bjects and/r shapes int categries. The student will srt and cunt the number f bjects in categries. The student will match r write numerals that represent the srted cunt in each categry. [s] K.G.A The student will match bjects t shapes. The student will identify shapes by their psitin in regards t a given bject. The student will identify shapes regardless f their rientatin r verall size. The student will identify shapes as tw-dimensinal r three-dimensinal. [a] K.G.B The student will mdel shapes in the wrld by drawing thse shapes. The student will cmpse simple shapes t frm larger shapes. Other Evidence Frmative Assessment Opprtunities Opening Task Hunting fr Shapes GMath! Shw What Yu Knw Chapter 9 pg. 354, and Chapter 10 pg. 410 GMath! Perfrmance Tasks: Ch. 10 Shape Safari pg. AG ; Perfrmance Task Critical Area, Shapes, Shapes, Shapes, pgs. AG 140 AG146 GMath! Standards Practice bk fr quizzes r hmewrk GMath! Getting Ready fr SBAC pages frm Chapter 9 and 10 Cperative Grup Tasks Gemetry #1 5 District Unit 2 Resurce (t be used if yu are taking the nline Unit Assessment) exit tickets and quizzes English (Wrd r PDF) Spanish (Wrd r PDF) Using Frmative Assessment fr Differentiatin LBUSD 3

4 Teacher Resurces We encurage using the fllwing resurces thrughut the unit Mathematics Framewrk fr Califrnia Public Schls - Kindergarten Early Mathematics A Resurce fr Teaching Yung Children (EM) If yu d nt have this bk, dwnlad it t yur desktp frm this link. Yu can then print selected pages if desired. Think Central Which One Desn t Belng? Cperative Grup Mats and Directins Standards Psters mypd curse #2821: GMath! Digital Resurces mypd curse #7401: Standards fr Mathematical Practice mypd curse #7455: Lessn Planning Tls mypd curse #3578: Understand the Prblem: Ntice and Wnder Strategy Cach s Nte: Fr many students this may be their first experience wrking with fam shapes, gemetric slids, pattern blcks, attrilinks etc. Befre students are asked t use these as math tls, it is necessary fr them t have had pprtunities t explre and get the play ut befre using them fr instructin. Therefre, cnsider having these manipulatives in tubs/baskets during math wrkshp and/r chice time in the weeks prir t this unit LBUSD 4

5 Days Learning Daily I will grup 2 r 3 dts t tell hw many withut cunting by Daily 60 minutes per week minute sessins r minute sessins I will build cunting fluency ver time by I will persevere in prblem slving t help me understand math by Suggested Sequence f Key Learning Events and Instructin Success Criteria G Math! Lessns and Activities and Cre Resurces Supplemental Resurces: Participating in daily Number Talks Using the structure f the 5- frame. Answering questins such as: Hw many dts d yu see? Hw d yu see them? What d yu mean? Crrectly cunting the sequence frm ne. Knwing when t stp the cunt. Answering Hw many? Playing ST Math interactive games n the cmputer. Visualizing math cncepts. mypd curse #2702 Number Talks: Dt Card Images mypd curse #2939: Using Five-Frames Cach s Nte: Cntact the Math Office if yu are new t the grade level and need Kindergarten Number Talk Cards. Cach s Nte: The Additinal Daily Rutines in this rw are t supplement the daily Number Talks. These rutines can be used during times f transitin r as a part f yur Opening/Calendar. Chse a few frm the given list in the next clumn. ST Math Objectives Explring Shapes Analyzing Shapes Cmpsing Shapes Reasning with Attributes Psitin Srting and Classifying (Yu can drag this bjective up t Unit 2 frm yur ST Math Dashbard.) mypd curse #7446 Elementary Number Talks mypd curse #2165 Beginning f the Year Number Talks Kinder thrugh 5 th Name Attendance Pcket Chart & Name Cards &Ten Frame Chart (3 frames) Class Circle Cunt Special Number (use smaller numbers in unit 1) Pick 2 Names Activity, mre/less /equal Rapid Finger Cunt ST Math Tips Assign a minimum f 5 hmewrk bjectives Review facilitatin prmpts and prcesses t help struggling students District will handle all student rstering/transfers Befre the Unit Give the Shw What Yu Knw Diagnstic Assessment Ch. 9 pg. 354 and Ch. 10 pg Determine if students need interventin fr the unit prerequisite skills. *Use the Diagnstic Table fr interventin ptins: On-level, Strategic, Intensive and Independent Rule f Thumb: Rather than ding Vcabulary Builder as a separate activity, incrprate vcabulary, where apprpriate in daily lessns LBUSD 5

6 Days Learning 1 I can find shapes in my envirnment by Suggested Sequence f Key Learning Events and Instructin Success Criteria G Math! Lessns and Activities and Cre Resurces Supplemental Resurces: Opening Task Hunting fr Shapes Placing a pst-it n varius bjects in the classrm and saying the shape name. Leave the pst-its attached t the bjects fr the next day s lessn. Intrduce n day 2 and cntinue thrughut the unit I can use psitin wrds t describe bjects lcated in my envirnment by Describing bject lcatins using wrds such as: Abve, belw, beside, in frnt f behind, next t Using sentence frames such as: The (bject) shaped like a (shape name) is (psitn wrd) the (2nd bject). Example, Pencil cntainer shaped like a cylinder is in frnt f the bks. Ch. 10 Advanced Learners activities n pages 443, 447, and 451 can be used fr any f the psitin wrds. Cach s Nte: Read the Abut the Math n the fllwing pages 441A, 445A, 449A in GMath! Chapter 10 befre planning this learning target. Use the previus day s pening task s students can use psitin wrds t describe their bject in the envirnment. Use sentence frames as needed. Ask questins such as : Where is the? Can say that a different way? What psitin wrd can be used t make it mre precise? 3 7 I can identify shapes by Using the crrect shape names: square, circle, triangle, rectangle, hexagn, cube, cne, cylinder and sphere Referring t it as either a 2 dimensinal/flat shape r a 3 dimensinal/slid shape. Lessns pgs.357a 388 as needed Pages 363, 371, 379, 387 wuld be better used after wrk n gebards. The fllwing lessns can be cmbined: Lessn 9.9 Identify and Name Hexagns, pg,389a -392 Lessn 9.10 Describe Hexagns pg. 393A 396 Lessn 9.11 Hands On: Algebra Cmpare Tw- Dimensinal Shapes pg can be used as a Prcedural Skills and Fluency Use Shapes fr Freight Train sets; small and large circles, squares, triangles, rectangles, and hexagns. Cnceptual Understanding: Cperative grup tasks: Gemetry # 2, LBUSD 6

7 Days Learning Suggested Sequence f Key Learning Events and Instructin Success Criteria G Math! Lessns and Activities and Cre Resurces Supplemental Resurces: The number f sides and vertices and/r faces. Straight lines r curved lines. Recgnizing them regardless f their rientatin. Answering questins such as: Why can rectangles and square be gruped tgether r be srted separately? Hw are the shapes alike r different frm anther shapes? Which shapes have straight lines which have curved line? Can yu draw a shape with straight lines? Can yu draw a shape with curved lines? frmative assessment r Exit Tickets instead f a lessn. Cach s Nte : A cmmn student miscnceptin: Students may nt recgnize a triangle that has be turned upside-dwn r inverted. Allw students t explre different types f triangles in different rientatins t justify why it is a triangle. Discuss hw the number sides/vertices remain the same regardless f rientatin. Als discuss hw clr des nt define a shape. Cntinue t have students wrk in cperative grups as they hld the shapes t cunt sides/vertices/faces etc. Students use manipulatives t cunt sides/vertices n 2 dimensinal shapes and use slid gemetric shapes t cunt the number f vertices and faces n slids. Pencil and paper wrk shuld ccur at the end as a way fr students t recrd their wrk. Have students discver hw 2 dimensinal shapes create 3 dimensinal shapes by when discussing the characteristic f slids I can classify varius shapes by Analyzing shapes t srt accrding t the number f sides, r vertices. Analyzing shapes t srt 2- dimensinal shapes and 3- dimensinal shapes int different grups. Lessn 10.6 Prblem Slving: Tw and Three Dimensinal Shapes, pg. 433 Explre, use the prmpt in the left margin as a frmative assessment. D pg. 435 Advanced Learners activity at the bttm f the page. Lessn 10.1 Hands On three-dimensinal Shapes, pgs. 413A 416. D Explre pg.312 in the left margin Cnceptual Understanding: Cperative grup tasks: Gemetry #1 Gemetry #2 Gemetry #3 Shape Tree Map 5 Basic Shapes Srt LBUSD 7

8 Days Learning Suggested Sequence f Key Learning Events and Instructin Success Criteria G Math! Lessns and Activities and Cre Resurces Supplemental Resurces: Analyzing if the shape can be rlled and/r stacked. Explaining the srting rule (attribute) that was used fr the srt. Recrding/drawing r gluing shapes that belng t the same categry. Answering questins such as: What is yur srting rule? Why are all these shapes in this grup? Is there anther shape that wuld belng in this grup? Why/why nt? Why didn t yu include in this grup? with prepared baskets f slids fr each cperative grup. Lessns pgs. 417A 431 as needed. Lessn 12.1 Hands On: Algebra-Classify and Cunt by Clr, pg. 500 d as independent practice r as a frmative assessment. Lessn 12.2 Hands On: Algebra-Classify and Cunt by Shape, pg.504 D as an independent practice r as a frmative assessment Lessn 12.3 Hands On: Algebra-Classify and Cunt by Size, pg. 506 D as an independent practice r as a frmative assessment. Picture Shapes I can create new shapes by Using pattern blcks, attribute shapes, tangrams, gebards. gemetric slids, and/r blcks. Explaining hw the new shape was created using psitin wrds i.e., I made a rectangle by putting n square next t anther square. Answering such as: Hw many sides/vertices des yur new shape have? Is yur new shape a 2- dimensinal shapes r a 3- dimensinal shape? Lessn 9.12 Draw t Jin Shapes, pg. 401A 404 After using 9.12 have students use the attribute shapes and the slid shapes frm the GMath! Manipulative kit t cmpse new shapes. Lessn 10.7 Hands On: Mdel Shapes, Read Abut the Math pg. 437A. See pgs Explain and Elabrate and Advanced Learner n pg Cach s Nte : D a variatin f Make Yurs like Mine and then give students an pprtunity t draw r trace their new shape (cncrete t representatin). Cnceptual Understanding: Cperative grup tasks: Gemetry # LBUSD 8

9 Days Learning Suggested Sequence f Key Learning Events and Instructin Success Criteria G Math! Lessns and Activities and Cre Resurces Supplemental Resurces: D yu think yur new shape can stack? Why r why nt? D yu think yur new shape will rll? Why r why nt? Hw many side/vertices/faces des yur new shape have? Explain where the sides r face tuch I can identify the plane shape n slids by Matching plane shapes t the face f slid shapes. Identifying plane shapes n varius bjects inside and utside the classrm envirnment. Explain why slid shapes can stack and/r rll. Explain what the difference is between flat and curved surfaces. Answer questins such as: What d yu ntice abut curved lines and curved surfaces? What d yu ntice abut straight lines and flat surfaces? Why can t all slid shapes be stacked? Why can t all slid shapes rll? Use the slid shapes and fam attribute shapes frm the GMath! Manipulative kit. Organize the students int partner pairs. Giving ne partner a bag f 2- dimensinal shapes and the ther partner a bag f 3- dimensinal shapes. Partners wrk tgether t match the 2- dimensinal shapes t the face f the slid shapes. Students further discver hw the face f the slids determine whether r nt a slid shape stacks r rlls. Discuss curved and flat surfaces and relate it back t curved and straight lines n 2- dimensinal shapes. Perfrmance Task Ch. 10 Shape Safari pgs. AG D. Cnceptual Understanding: Cperative grup tasks: Gemetry # LBUSD 9

10 Days Learning I will shw what I knw abut shapes by Suggested Sequence f Key Learning Events and Instructin Success Criteria G Math! Lessns and Activities and Cre Resurces Supplemental Resurces: Frmative Assessment Lessn: Cmpleting the Perfrmance Task r Writing Activity Persevering thrugh difficulties Participating in class discussins. Perfrmance Task Critical Area, Shapes, Shapes, Shapes, pgs. AG 140 AG146 Have wrkshp activities available fr early finishers I can rder the srted shapes r bjects by Cunting t find hw many in each grup. Cunting the number f sides r vertices f a shape. The number f flat surfaces (faces) f a slid shape. Explaining the rder f the srted grups greatest/least r least t greatest. Labeling the rder using number cards. (Matching a number card t the grup t represent the amunt in each grup) Organizing them n a graph frm least t greatest. Lessn 12.1 Hands On: Algebra-Classify and Cunt by Clr, pg. 499 Advanced Learners. Use the fam attribute and slid shapes frm the GMath! Manipulative kit. D nt limit srting t clr nly as stated in the instructins but allw students t decide their wn srting rule. Lessn 12.5 Read a Graph, pg.515 Advanced Learner activity. Use the existing graphs displayed in the rm t read and make cmparisns. Cach s Nte : In this learning students are applying all they knw abut srting and classifying bjects and shapes and then cunting the number f bjects r shapes in each grup t tell hw many and then t rder the grups by cunt. Use existing graphs that are already displayed in the rm such as weather r birthday graphs. Cunt the number in each grup and create a new graph rerdering them by cunt, (least t greatest r greatest t least). Take the pprtunity t discuss the idea f ne mre. 24 Unit Assessment Select either the Online Assessment (Synergy) r paper pencil test. (The Assessment link is fund n page 3 f this Unit guide) LBUSD 10