7.10"Sand"Castles" A"Solidify"Understanding"Task"
|
|
|
- Justina Foster
- 8 years ago
- Views:
Transcription
1 SandCastles ASolidifyUnderstandingTask Benji,ChauandKassandraplantoenterasandcastle buildingcontestbeingsponsoredbyalocalradiostation. Thewinningteamgetsaprivatebeachpartyatalocal resortforalloftheirfriends.tobeselectedforthe competition,theteamhastosubmitadrawingoftheir castleandverificationthatthedesignfitswithintherules. 2013www.flickr.com/photos/klbm Thethreefriendsactuallyplantobuildthreeidenticalcastles,eachonetwiceasbigastheprevious one.theyhopethatreplicatingthesamedesignthreetimes whilepayingattentiontothetiniest littledetails willimpressthejudgeswiththeircreativityandsandsculptingskill. Benjiispuzzlingoveracoupleofquestionsontheapplication.Theysoundlikemathquestions,and hewantschauandkassandratomakesurethatheanswersthemcorrectly. Please&provide&the&following&information&about&your&sand&sculpture:& &&What&is&the&total&area&of&the&footprint&of&your&planned&sand&sculpture?& [Thisinformationwillallowtheplanningcommitteetolocatesandsculpturessotheviewingpublicwillhave easyaccesstoallsculptures.rememberthatthetotalareaoccupiedbyyoursculpturecannotexceed50sq.ft.] &What&is&the&total&volume&of&sand&required&to&build&your&sand&sculpture?& [Wewillprovideclean,siftedsandforeachteamsowewillnotbeliableforanydebrisorharmfulsubstances thatcanbepresentinbeachsand.] I&certify&that&the&above&information&is&correct.&& Signature&of&team&leader:&& date:& & Thefriendshaveonlydesignedoneofthecastles,sincetheotherswillbescaledupversionsofthis one,eachonebeing twiceasbig. AfterstudyingthediagramBenjisaid, Icalculatedtheareaofthefootprintofthesmallestcastleto be2.5sq.ft.,sothenextonewilloccupy5sq.ft.,andthelargest10sq.ft.that satotalof17.5sq.ft. Wellwithinthelimits. 1. WhatdoyouthinkofBenji scomment?designacoupleofpossible footprints forasand castlethatwilloccupy2.5squareunitsofarea.thenscaleeachdesignupsoitis twiceas big,andcalculatethearea.whatdoyounotice? 2013MathematicsVisionProject MVP InpartnershipwiththeUtahStateOfficeofEducation LicensedundertheCreativeCommonsAttribution4NonCommercial4ShareAlike3.0Unportedlicense.
2 53 2. Imaginestackingcubesonyoursandcastle footprints tocreateasimple3zdsculpture. Thenscaleupeachdesignsoitis twiceasbig andcalculatethevolume.whatdoyou notice? 3. Howdidyouinterpretthephrase twiceasbig inyourworkonquestions1and2?isyour interpretationthesameasbenji s? 4. Toavoidconfusion,itwouldbemoreappropriateforBenjiandhisfriendstosaytheyare goingto scaleup theirinitialsandcastlebyafactorof2.ifthe footprint ofasandcastle occupies2.5sq.ft.,isitpossibletocalculatetheareaoccupiedbyasandcastlethathasbeen enlargedbyascalefactorof2,oristheareaoftheenlargedshapedependentuponthe shapeoftheoriginalfigure?thatis,dotriangles,parallelograms,pentagons,etc.allscaleup inthesameway?writeaconvincingargumentexplainingwhyorwhynot? 5. Whathappenstotheperimeterofthe footprint ofyoursandcastlewhenitisscaledzupby afactorof2? 6. Supposeyoursandcastle footprint wascutoutofapieceofstyrofoamthatisonezinch thick.whathappenstothevolumewhenthis 3ZDfootprint isscaledupbyafactorof2? 7. Whatwouldhappentotheperimeterofanyface,thetotalsurfacearea,andthevolumeofa triangularprismifitisscaledzupbyafactorof3?buildmodelsorsketchdiagramsto illustratethereasoningbehindyouranswer. WhileBenjihasbeenworkingoncorrectingtheapplication,ChauandKassandrahavebeenlooking onlineforinformationtohelpthemcalculatethevolumeofsandrequired,sincetheirplansinclude prisms,pyramids,cylindersandcones. Chaufoundthisinformation:ThevolumeofarightprismorrightcircularcylinderisgivenbyV=Bh, wherebistheareaofthesurfacethatformsthebase,andhistheheightoftheprism orcylinder.thevolumeofapyramidorconeis1/3ofthevolumeofaprismor cylinderwiththesamebaseandheight. Kassandrafoundthisinformation:ThevolumeofaprismorconeisgivenbyV=Bh,whereBisthe areaofthecongruentcrosssectionsparalleltothebase,andhistheheightofthe prism.thevolumeofapyramidorconeis1/3ofthevolumeofaprismorcylinder withthesamebaseandheight. 8. Howdothesetwostatementsdifferandwhatdothosedifferencesimply? 2013MathematicsVisionProject MVP InpartnershipwiththeUtahStateOfficeofEducation LicensedundertheCreativeCommonsAttribution4NonCommercial4ShareAlike3.0Unportedlicense.
3 54 ChauandKassandraarecuriousaboutthedifferencesinthesetwodefinitionsandsotheycontinue searchingonlineformoreinformation.chauisparticularlyconcernedaboutwhyapyramidor conealwayshas1/3ofthevolumeoftherelatedprismorcylinderwiththesamebaseandheight. Sheremembersateacherillustratingthisideabyfillingafewplasticpyramidswithsandand pouringthemintoprismswiththesameheightandbase.eachtimeittookthree pyramid sfull of sandtoexactlyfillthecorrespondingprism.butnowthatshehastakengeometry,chauismore skeptical.shewonders, Justbecauseitworksforthosemanufacturedexamples,doesitworkin everycase? 9. DoanonlinesearchforthefollowingtopicsthatChauandKassandrafoundinterestingand relevanttotheirquestions.bepreparedtoreporttoyourclassmateswhatyoulearned. Keeptrackofparticularlyusefulwebsitese.g.,easytounderstand,greatillustrations, dynamicimages,handszonactivities,etc.)tosharewithyourpeers. a. Cavalieri sprinciple b. Disectingaprismintothreepyramidsofequalvolume c. OthernonZcalculus)proofsoftherelationshipbetweenthevolumesofpyramidsand prisms,cylindersandcones 10. ChauandKassandra splansforthesmallestsandcastleincludescolumnsintheshapeof hexagonalprismswiththebasebeingahexagonthatcouldbeinscribedinacirclewitha radiusof1inch.theheightofthecolumnis12inches. a. Whatisthevolumeofsandrequiredtomakeeachofthesecolumnsinthesmallestsand castle? b. WhatisthevolumeofsandrequiredtomakethiscolumninthemiddleZsizedsand castle? c. Whatisthevolumeofsandrequiredtomakethiscolumninthelargestsandcastle? d. Whatisthecircumferenceofthecirclethatwillcircumscribethebaseofthiscolumnin thelargestsandcastle? 11. Theplansforthesmallestsandcastleincludeaconethatis5incheshighandhasacircular basewitharadiusof2inches. a. Whatisthevolumeofsandrequiredtomakethisconeinthesmallestsandcastle? b. WhatisthevolumeofsandrequiredtomakethisconeinthemiddleZsizedsandcastle? c. Whatisthevolumeofsandrequiredtomakethisconeinthelargestsandcastle? d. Whatisthecircumferenceofthecirclethatformsthebaseofthisconeinthelargest sandcastle? 2013MathematicsVisionProject MVP InpartnershipwiththeUtahStateOfficeofEducation LicensedundertheCreativeCommonsAttribution4NonCommercial4ShareAlike3.0Unportedlicense.
4 7.10SandCastles TeacherNotes ASolidifyUnderstandingTask Purpose:Thepurposeofthistaskistodeepenstudentsunderstandingofthevolumeformulasfor prisms,pyramids,cylindersandcones,particularlywhenappliedtoobliquenonzright)examples ofthesesolids.studentshaveusedtheseformulasinpreviousmathcoursesascomputational tools.inthistasktheyexamineinformal,nonzcalculusargumentssupportingthesevolume formulasinthesamewaytheyexaminedtheformulasforcircumferenceandareaofacirclebased oninformallimitargumentsseetask7.4and7.5).inthistaskstudentsalsoexaminethe proportionalityrelationshipsoflengths,areas,andvolumeswhengeometricfiguresarescaledup. CoreStandardsFocus: G.GMD.1Giveaninformalargumentfortheformulasforthecircumferenceofacircle,areaofa circle,volumeofacylinder,pyramid,andcone.usedissectionarguments,cavalieri sprinciple,and informallimitarguments. G.GMD.3Usevolumeformulasforcylinders,pyramids,cones,andspherestosolveproblems. NoteforMathematicsII:Informalargumentsforareaandvolumeformulascanmakeuseofthe wayinwhichareaandvolumescaleundersimilaritytransformations:whenonefigureintheplane resultsfromanotherbyapplyingasimilaritytransformationwithscalefactork,itsareaisk 2 timesthe areaofthefirst.similarly,volumesofsolidfiguresscalebyk 3 underasimilaritytransformationwith scalefactork. RelatedStandards: LaunchWholeClass): Introducethecontextofthistaskbyreadingthefirstfewparagraphs,includingtheapplicationfor thesandcastlebuildingcompetition.remindstudentsthattheyhavepreviouslyusedformulasfor findingperimetersandareasofregularpolygonsandcircles,andinothermathcourses)formulas forfindingvolumesofprisms,pyramids,cylindersandcones.pointoutquestions10and11where theywillbeaskedtousetheseformulastosolvesomeproblemsrelativetothesandcastlecontext. Pointoutthe scalingup ideathatispresentinthesequestionsandthenreturntotheparagraphs followingtheapplicationandreadthroughbenji scommentandquestion1ofthetask.thenset studentstoworkon1z8.iftheyfinishearly,theyaretoreadthroughquestion9,whichwillbe assignedashomework,andthenworkonquestions10and11. ExploreSmallGroup): Watchforstudentswhointerpret twiceasbig inthesamewaybenjididdoublethearea),aswell asstudentswhointerpretitasdoublingthelineardimensionsofthefigure.allowboth perspectivestocoexistuntilquestion4,whenallstudentsshouldbeworkingfromthe scalefactor 2013MathematicsVisionProject MVP InpartnershipwiththeUtahStateOfficeofEducation LicensedundertheCreativeCommonsAttribution4NonCommercial4ShareAlike3.0Unportedlicense.
5 perspectiveofdoublingallofthelineardimensions.studentsshouldhaveatleasttwodifferent footprints oftheirowndesigntoexperimentwithastheyconsiderthesequestions.watchfor unusualdesignse.g.,nonzrectangular).youmaywanttopromptsomegroupstotrysomething unusual,likeatrianglewithanareaof2.5sq.in.,oranlzshapedfigure,orsomethingelse.listen forargumentsthatindicatewhetherornotstudentsunderstandthatthedesignofthebasedoesn t matterincalculatingtheareaofthescaledupfigure,sincelineardimensionswillallgetdoubledas thefiguregetsscaledup. Havefastfinishersreadthroughtherestofthetaskandworkonproblems10and11. DiscussWholeClass): Thewholeclassdiscussionshouldfocusonthewayareaandvolumescaleundersimilarity transformations:whenonefigureintheplaneresultsfromanotherbyapplyingasimilarity transformationwithscalefactork,itsareaisk 2 timestheareaofthefirst.similarly,volumesof solidfiguresscalebyk 3 underasimilaritytransformationwithscalefactork.emphasizetheideaof scalingup asasimilaritytransformation.usestudentworkonquestions5z7tohighlightthis concept. Asaclass,readthroughthetwostatementsthatprecedequestion8,andthendiscussquestion8. Onebigideathatshouldcomeoutofthisdiscussionisthataslongasthecorresponding slices or crosssectionsparalleltothebaseofaprism,pyramid,cylinderorconehavethesamearea,the resultingsolidhasthesamevolume.asimplisticillustrationofthiswouldbeadeckofcards skewedsoitisnolongerarightprism,orastackofpenniesskewedsoitisnolongeraright cylinderperhapsstackedsoitisn t cylindrical atall).thesearesimpleexamplesofcavalieri s principle,buttheprinciplesaysmore:thecorresponding slices don tneedtobecongruent shapes,wejustneedtoverifythateachslicehasthesamearea.studentsmayencounterexamples ofthisduringtheironlineresearch. Bynow,studentsshouldrecognizeChau sconcernabouttheformulaforthevolumeofapyramid basedonafewexamplesasalegitimateone.thismaynotbefullyresolvedbylookingatsome onlinearguments,butatleaststudentswillhaveacknowledgedthatthisissueisattheheartof mathematicalproof. Assignproblem9,doingsomeonlineresearchaboutthesetopics,ashomework.Therearesome greatvisualresourcesonline.hereareafewyoumightsuggest: %20a%20cube [Thissiteprovidesatemplatefornetsthatcanbefoldedintopyramidssothatthreesuch pyramidsformacube.thenetsareprovidedintwosizes,sotheissueofscalinguparea andvolumeisalsoaccessiblewiththesenets] 2013MathematicsVisionProject MVP InpartnershipwiththeUtahStateOfficeofEducation LicensedundertheCreativeCommonsAttribution4NonCommercial4ShareAlike3.0Unportedlicense.
6 thezvolumezofzazcylinder [Thissiteincludesadynamicanimationofthethreepyramidsthatformacube.Italso illustrateshowaconecanhavethesamevolumeasapyramid thusillustratingcavalieri s principlefornonzcongruentcrosssections] [ThissiteincludesadynamicanimationofCavalieri sprinciple.italsoillustrateshowto decomposeatriangularprismintothreepyramids,andthengeneralizesthevisual proof ofthepyramidformulatogeneralpyramidsbyshowingthatallprismscanbedecomposed intotriangularprisms.] Ifthereistimeremaining,havestudentsworkonproblems10and11.Assignthesequestionsas homeworkifstudentsdon tfinishtheminclass. AlignedReady,Set,Go:Circles:aGeometricPerspective MathematicsVisionProject MVP InpartnershipwiththeUtahStateOfficeofEducation LicensedundertheCreativeCommonsAttribution4NonCommercial4ShareAlike3.0Unportedlicense.
7 Name: Ready,Set,Go Circles:)a)Geometric)Perspective)) 7.10) www.flickr.com/photos/klbm Ready Topic:Findingthecenterofacircle. Previouslyyouhaveworkedwithfindingthecenterorrotationbetweenpre=imageand imagepoints.usingaverysimilarstrategyfindthecenterofthecirclesbelow. Usechordsofthecircletopinpointthecenter.) Justifyyourworkforfindingthecenterofthecirclesabove.Whydoesitwork?Whydoesit pinpointthecenterofthecircle? 2013MATHEMATICSVISIONPROJECT MV P InpartnershipwiththeUtahStateOfficeofEducation LicensedundertheCreativeCommonsAttribution4NonCommercial4ShareAlike3.0Unportedlicense
8 Set Topic:Findingsurfaceareaandvolume. Findthevolumeandsurfaceareaofeachpyramid. 4. Circles:)a)Geometric)Perspective)) 7.10) 5.Apyramidthatissimilartothepyramidin number4butscaledupbyafactorof Apyramidthatissimilartothepyramidin number6butscaledupbyafactorof5. Findthevolumeandsurfaceareaofeachrectangularprisms Aprismsimilartotheoneontheleft thathasbeenenlargedbyafactorof MATHEMATICSVISIONPROJECT MV P InpartnershipwiththeUtahStateOfficeofEducation LicensedundertheCreativeCommonsAttribution4NonCommercial4ShareAlike3.0Unportedlicense
9 Findthevolumeforeachcylinderandcone Radius=5ft Height=15ft Circles:)a)Geometric)Perspective)) 7.10) 11.Acylinderthatissimilartotheoneat theleftthathasbeenscaledupbyafactor of2. 13.Aconethatissimilartotheoneatthe leftthathasbeenscaledupbyafactorof4. 57 Go Topic:Radiansanddegreeconversions,sectorsofcircles Findthemeasurethatismissing,eitherdegreesorradiansgiventheothermeasure =Radians =Radians =Radians 17. Radians=Degrees Radians=Degrees 19. Radians=Degrees =Radians =Radians =Radians Findtheareaofeachsector Findthemeasureofthelengthofeacharcindicatedbelow MATHEMATICSVISIONPROJECT MV P InpartnershipwiththeUtahStateOfficeofEducation LicensedundertheCreativeCommonsAttribution4NonCommercial4ShareAlike3.0Unportedlicense
Geometry Course Summary Department: Math. Semester 1
Geometry Course Summary Department: Math Semester 1 Learning Objective #1 Geometry Basics Targets to Meet Learning Objective #1 Use inductive reasoning to make conclusions about mathematical patterns Give
1. A plane passes through the apex (top point) of a cone and then through its base. What geometric figure will be formed from this intersection?
Student Name: Teacher: Date: District: Description: Miami-Dade County Public Schools Geometry Topic 7: 3-Dimensional Shapes 1. A plane passes through the apex (top point) of a cone and then through its
Secondary One Mathematics: An Integrated Approach Module 3 Linear and Exponential Functions
1 Secondary One Mathematics: An Integrated Approach Module 3 Linear and Exponential Functions By The Mathematics Vision Project: Scott Hendrickson, Joleigh Honey, Barbara Kuehl, Travis Lemon, Janet Sutorius
SPCC Plan - Calculation Guidance
SPCC Plan - Calculation Guidance The following example compares two different design criteria: one based on the volume of the tank and one based on precipitation. Scenario: A 20,000-gallon horizontal tank
ACCESSIBLE EXCHANGE :
DISABLED STUDENTS IN ERASMUS ERASMUS OUTGOING STUDENT COORDINATOR EUROPEAN AND INTERNATIONAL CENTER TOPIC : Mobility of a disabled student in 2012-2013 To Trier University, Germany From Istanbul Kültür
EMAT 6450 - Mathematics in Context
Melissa Wilson EMAT 6450 - Mathematics in Context Course/Unit: Accelerated Coordinate Algebra/Analytic Geometry A for Unit 9, Circles and Volume (This unit corresponds to Unit 3 in Analytic Geometry. The
Geometry Enduring Understandings Students will understand 1. that all circles are similar.
High School - Circles Essential Questions: 1. Why are geometry and geometric figures relevant and important? 2. How can geometric ideas be communicated using a variety of representations? ******(i.e maps,
A-LEVEL MATHEMATICS. Mechanics 2B MM2B Mark scheme. 6360 June 2014. Version/Stage: Final V1.0
A-LEVEL MATHEMATICS Mechanics B MMB Mark scheme 660 June 014 Version/Stage: Final V1.0 Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant questions, by a
Unit 3: Circles and Volume
Unit 3: Circles and Volume This unit investigates the properties of circles and addresses finding the volume of solids. Properties of circles are used to solve problems involving arcs, angles, sectors,
Baseband delay line QUICK REFERENCE DATA
FEATURES Two comb filters, using the switched-capacitor technique, for one line delay time (64 µs) Adjustment-free application No crosstalk between SECAM colour carriers (diaphoty) Handles negative or
Terms of Reference. CRESP Set up Electronic Document Management System and IT Service
Terms of Reference CRESP Set up Electronic Document Management System and IT Service July 2009 2 1 Background The China Renewable Energy Scale-up Program (CRESP) has been developed by the Government of
Grade 7 & 8 Math Circles Circles, Circles, Circles March 19/20, 2013
Faculty of Mathematics Waterloo, Ontario N2L 3G Introduction Grade 7 & 8 Math Circles Circles, Circles, Circles March 9/20, 203 The circle is a very important shape. In fact of all shapes, the circle is
SURFACE AREA AND VOLUME
SURFACE AREA AND VOLUME In this unit, we will learn to find the surface area and volume of the following threedimensional solids:. Prisms. Pyramids 3. Cylinders 4. Cones It is assumed that the reader has
Geometry. Higher Mathematics Courses 69. Geometry
The fundamental purpose of the course is to formalize and extend students geometric experiences from the middle grades. This course includes standards from the conceptual categories of and Statistics and
Think About This Situation
Think About This Situation A popular game held at fairs or parties is the jelly bean guessing contest. Someone fills a jar or other large transparent container with a known quantity of jelly beans and
12 Surface Area and Volume
12 Surface Area and Volume 12.1 Three-Dimensional Figures 12.2 Surface Areas of Prisms and Cylinders 12.3 Surface Areas of Pyramids and Cones 12.4 Volumes of Prisms and Cylinders 12.5 Volumes of Pyramids
Stack Contents. Pressure Vessels: 1. A Vertical Cut Plane. Pressure Filled Cylinder
Pressure Vessels: 1 Stack Contents Longitudinal Stress in Cylinders Hoop Stress in Cylinders Hoop Stress in Spheres Vanishingly Small Element Radial Stress End Conditions 1 2 Pressure Filled Cylinder A
Solving Business Pains with SQL Server Integration Services. SQL Server 2005 / 2008
Solving Business Pains with SQL Server Integration Services SQL Server 2005 / 2008 Jason Strate Who Am I? SQL Server MVP Enterprise Consultant with Digineer Working with SQL Server since 1997 [email protected]
Math. MCC9 12.N.RN.1 Explain how the definition of the meaning of rational exponents follows from extending the
MCC9 12.N.RN.1 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms
How To Grow A Global Power Company
Investor Day February 20, 2014 Infrastructure Business Frederic Abbal EVP, Infrastructure Business We have built a global leader A global leader in medium voltage, grid automation & network management
Customer Training Material. Lecture 4. Meshing in Mechanical. Mechanical. ANSYS, Inc. Proprietary 2010 ANSYS, Inc. All rights reserved.
Lecture 4 Meshing in Mechanical Introduction to ANSYS Mechanical L4-1 Chapter Overview In this chapter controlling meshing operations is described. Topics: A. Global Meshing Controls B. Local Meshing Controls
New York State Student Learning Objective: Regents Geometry
New York State Student Learning Objective: Regents Geometry All SLOs MUST include the following basic components: Population These are the students assigned to the course section(s) in this SLO all students
GEOMETRY COMMON CORE STANDARDS
1st Nine Weeks Experiment with transformations in the plane G-CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point,
Scheduling 0 : Levels. High level scheduling: Medium level scheduling: Low level scheduling
Scheduling 0 : Levels High level scheduling: Deciding whether another process can run is process table full? user process limit reached? load to swap space or memory? Medium level scheduling: Balancing
Panashield, Inc. Facility Solutions For Global Electromagnetic Compatibility
Panashield, Inc. Facility Solutions For Global Electromagnetic Compatibility Absorber Technologies and Its Impact on Anechoic / Semi Anechoic Chambers Peggy Girard November 2012 Discussion Points Brief
A Three-Way Partnership between Bank, ESCOs and Clients K-Energy Saving Guarantee Program:
A Three-Way Partnership between Bank, ESCOs and Clients K-Energy Saving Guarantee Program: Mek Meksarikul Vice President - Head of Corporate Credit Solution Management Corporate Credit Product Management
Georgia Standards of Excellence Curriculum Frameworks Mathematics
Georgia Standards of Excellence Curriculum Frameworks Mathematics GSE Analytic Geometry Unit 3: Circles and Volume Unit 3: Circles and Volume Table of Contents OVERVIEW... 3 STANDARDS ADDRESSED IN THIS
If all three collisions below are totally inelastic, which one(s) will bring the car on the left to a complete halt?
ConcepTest 8.1 Crash Cars I If all three collisions below are totally inelastic, which one(s) will bring the car on the left to a complete halt? 1) I 2) II 3) I and II 4) II and III 5) all three ConcepTest
Energy Flow. Materials Per Group (groups of 4)
Energy Flow Lesson Concept Link Energy flows through a food chain. In the previous lesson, students reviewed the basic components of a food chain: producer, consumer, decomposer and the concept that matter
New Vocabulary volume
-. Plan Objectives To find te volume of a prism To find te volume of a cylinder Examples Finding Volume of a Rectangular Prism Finding Volume of a Triangular Prism 3 Finding Volume of a Cylinder Finding
National Quali cations SPECIMEN ONLY. Forename(s) Surname Number of seat. Date of birth Day Month Year Scottish candidate number
N5 SQ9/N5/0 Date Not applicable Duration hour FOR OFFICIAL USE National Quali cations SPECIMEN ONLY Mark Mathematics Paper (Non-Calculator) *SQ9N50* Fill in these boxes and read what is printed below.
Application of Implementation Science to Support All Levels of Need
State & Scaling-up of Evidenced-based Practices Application of Science to Support All Levels of Need Wendy Iwaszuk, Ph.D. OSPI State Transformation Specialist, Dept. of Special Education Rachel Hart, M.Ed.
Name: Date: Period: PIZZA! PIZZA! Area of Circles and Squares Circumference and Perimeters Volume of Cylinders and Rectangular Prisms Comparing Cost
Name: Date: Period: PIZZA! PIZZA! Area of Circles and Squares Circumference and Perimeters Volume of Cylinders and Rectangular Prisms Comparing Cost Lesson One Day One: Area and Cost A. Area of Pizza Triplets
Evaluation Copy. Blackblot PMTK. MVP Pricing Model Spreadsheet. <Enter product name>
MVP Pricing Model Spreadsheet Date: Contact: Department: Location: Email: Telephone: Date Blackblot PMTK Company Name: Product Name: Document Revision History: Revision
4 More Applications of Definite Integrals: Volumes, arclength and other matters
4 More Applications of Definite Integrals: Volumes, arclength and other matters Volumes of surfaces of revolution 4. Find the volume of a cone whose height h is equal to its base radius r, by using the
How To Get A Tax Credit On A Property Tax Credit
INFORMATION FOR SENIOR CITIZENS AVAILABLE TAX EXEMPTION AND TAX CREDIT PROGRAMS OVERVIEW This information sheet is intended to provide a brief overview of exemption programs that are available for New
StarWind Virtual SAN for Microsoft SOFS
StarWind Virtual SAN for Microsoft SOFS Cutting down SMB and ROBO virtualization cost by using less hardware with Microsoft Scale-Out File Server (SOFS) By Greg Schulz Founder and Senior Advisory Analyst
After your registration is complete and your proctor has been approved, you may take the Credit by Examination for GEOM 1B.
GEOM 1B Geometry I, Second Semester #PR-109, BK-1030 (v.3.0) To the Student: After your registration is complete and your proctor has been approved, you may take the Credit by Examination for GEOM 1B.
Propalms TSE Enterprise Deployment Server Sizing
Propalms TSE Enterprise Deployment Server Sizing Version 6.5 Propalms Ltd. Published February 2011 Server Scaling and Sizing requirements for Enterprise scalable Propalms TSE deployment TSE Roles WEB and
PHYSICS 111 HOMEWORK SOLUTION #9. April 5, 2013
PHYSICS 111 HOMEWORK SOLUTION #9 April 5, 2013 0.1 A potter s wheel moves uniformly from rest to an angular speed of 0.16 rev/s in 33 s. Find its angular acceleration in radians per second per second.
= 2 + 1 2 2 = 3 4, Now assume that P (k) is true for some fixed k 2. This means that
Instructions. Answer each of the questions on your own paper, and be sure to show your work so that partial credit can be adequately assessed. Credit will not be given for answers (even correct ones) without
Performance and Scalability of the Red Hat Enterprise Healthcare Platform
Red Hat Reference Architecture Series Performance and Scalability of the Red Hat Enterprise Healthcare Platform (based on InterSystems Caché on Quad-Core AMD Opteron Processors) InterSystems Caché 2008.1
Nonwoven Materials: Challenges for the Medical and Consumer Products Sector
Nonwoven Materials: Challenges for the Medical and Consumer Products Sector Bryan D. Haynes, Ph.D. Director, Global Enterprise Research and Engineering Global Nonwovens, Kimberly-Clark Outline Review of
Kaminario Cuts All-Flash Storage Costs to Less Than $1/GB With Introduction of K2 v5.5
Kaminario Cuts All-Flash Storage Costs to Less Than $1/GB With Introduction of K2 v5.5 New Array Cuts Average Cost/GB by 50 Percent, Supports 3D TLC Drives and Native Array-Based Replication, Introduces
Center of Gravity. We touched on this briefly in chapter 7! x 2
Center of Gravity We touched on this briefly in chapter 7! x 1 x 2 cm m 1 m 2 This was for what is known as discrete objects. Discrete refers to the fact that the two objects separated and individual.
Scrum in the Real World. Ge3ng Started, Scaling and Beyond!!!
Scrum in the Real World Ge3ng Started, Scaling and Beyond!!! Pat Guariglia Scrum & Agile Coach, Trainer and Speaker [email protected] ElegantAgile.com 2 What is Agile? Copyright Elegant Agile Inc.,
Migrating Mission-Critical Environments to Intel Architecture
IT@Intel White Paper Intel IT IT Best Practices Mission-Critical Business Solutions May 2011 Migrating Mission-Critical Environments to Intel Architecture Executive Overview By using a phased approach
Math 19B (Online) Calculus for Science Engineering and Mathematics University of California Santa Cruz
Math 19B (Online) Calculus for Science Engineering and Mathematics University of California Santa Cruz Instructors and Course Creators Tony Tromba, PhD, Distinguished Professor, Mathematics Department,
White Paper On. Single Page Application. Presented by: Yatin Patel
White Paper On Single Page Application Presented by: Yatin Patel Table of Contents Executive Summary... 3 Web Application Architecture Patterns... 4 Common Aspects... 4 Model... 4 View... 4 Architecture
2, 3 1, 3 3, 2 3, 2. 3 Exploring Geometry Construction: Copy &: Bisect Segments & Angles Measure & Classify Angles, Describe Angle Pair Relationship
Geometry Honors Semester McDougal 014-015 Day Concepts Lesson Benchmark(s) Complexity Level 1 Identify Points, Lines, & Planes 1-1 MAFS.91.G-CO.1.1 1 Use Segments & Congruence, Use Midpoint & 1-/1- MAFS.91.G-CO.1.1,
11. Rotation Translational Motion: Rotational Motion:
11. Rotation Translational Motion: Motion of the center of mass of an object from one position to another. All the motion discussed so far belongs to this category, except uniform circular motion. Rotational
Configuration Manager 2012 SC2012 ConfigMgr SP1 MP Replica Configuration Guide
Configuration Manager 2012 SC2012 ConfigMgr SP1 MP Replica Configuration Guide Author: Kent Agerlund Create date: 20-01-2013 Change date: Document version no.: 1.0 Page 1 of 14 Document information History
HHR120AA Cylindrical 4/5AA size (HR 15/43) Dimensions (with Tube)
HHR120AA Cylindrical 4/5AA size (HR 15/43) () 14.5 + - 0 0.7 Typical Characteristics : 600mA(1 It) hrs. 0 20 45 Time (minutes) 43.0 + - 0 Typical Characteristics : 1200mA(1 It) hrs,20 : 20 14.5+0/-0.7
Social Media Content - Advantages and Disadvantages
The Business of Social Media Content Copyright 2014 Michael Simonetti BSc BE MTE, &Mine Pty Ltd. Not to be reproduced, re-presented or used in any way without written consent from the author. Game On Startups,
Unclaimed Property and Life Insurance Companies. 2011 ACLI Annual Meeting
Unclaimed Property and Life Insurance Companies 2011 ACLI Annual Meeting 1 Agenda Property Types Dormancy - Life Insurance and Annuities Dormancy Other Property Holding Periods Claims Process DMF Usage
AAA Driving Programs Teen Driving Seminar Supporting Materials
Getting your learner permit Complete the Application for Driver License (MV-44). Present proof of identity. You must pass a vision test with at least 20/40 vision in at least one eye, with or without corrective
Scalable Web Application
Scalable Web Applications Reference Architectures and Best Practices Brian Adler, PS Architect 1 Scalable Web Application 2 1 Scalable Web Application What? An application built on an architecture that
day 1 2 Windows Azure Platform Overview... 2 Windows Azure Compute... 3 Windows Azure Storage... 3 day 2 5
Developers Workshop presented by MVP & v-tsp Damir Dobrić Chief Architect and Managing Developer daenet GmbH, Frankfurt / Main day 1 2 Windows Azure Platform Overview... 2 Windows Azure Compute... 3 Windows
In-Situ Bioremediation Demonstration of Coal-Based Acid Mine Drainage. Tide Mine Site Indiana County, Pennsylvania
In-Situ Bioremediation Demonstration of Coal-Based Acid Mine Drainage Tide Mine Site Indiana County, Pennsylvania Presented to: 26 th West Virginia Surface Mine Drainage Task Force Symposium Kelly S. Houston
Vertafore Analytics: Turning Raw Data Into Revenue A CASE STUDY
Vertafore Analytics: Turning Raw Data Into Revenue A CASE STUDY Summary OPPORTUNITY Turn raw data into an analytics product Overview When Vertafore wanted to turn raw data into Vertafore Analytics an intelligence
Ralf Christian, CEO Low and Medium Voltage. Making Things Right with Totally Integrated Power (TIP)
Ralf Christian, CEO Low and Medium Voltage Making Things Right with Totally Integrated Power (TIP) siemens.com/hannovermesse Making Things Right with Totally Integrated Power (TIP) Trade LV 100 kw Industrial
Objective: To distinguish between degree and radian measure, and to solve problems using both.
CHAPTER 3 LESSON 1 Teacher s Guide Radian Measure AW 3.2 MP 4.1 Objective: To distinguish between degree and radian measure, and to solve problems using both. Prerequisites Define the following concepts.
uhvnet Universities High Voltage Network www.uhvnet.org.uk
uhvnet Universities High Voltage Network www.uhvnet.org.uk Rachel Fletcher Partner, Smarter Grids and Governance ofgem The Office of Gas and Electricity Markets 9 Millbank London SW1 3GE 23 rd November
Solutions to Exercises, Section 5.1
Instructor s Solutions Manual, Section 5.1 Exercise 1 Solutions to Exercises, Section 5.1 1. Find all numbers t such that ( 1 3,t) is a point on the unit circle. For ( 1 3,t)to be a point on the unit circle
StarWind Virtual SAN Hardware Agnostic Hyper-Convergence for vsphere
StarWind Virtual SAN Hardware Agnostic Hyper-Convergence for vsphere Cutting down SMB and ROBO cost by using less hardware with software defined storage management By Greg Schulz Founder and Senior Advisory
Reviving the American Dream by Using Career Development to Prepare All Young Adults for Career Success
Reviving the American Dream by Using Career Development to Prepare All Young Adults for Career Success Breakout Session Overview The purpose of the conversation at your table is to identify bold action
The Ohio State University Nisonger Center Special Education and Transition
The Ohio State University Nisonger Center Special Education and Transition Scaling-Up EnvisionIT: A Model for Teaching 21 st Century Skills to Youth with Disabilities to Increase Their Academic and Transition
Some Comments on the Derivative of a Vector with applications to angular momentum and curvature. E. L. Lady (October 18, 2000)
Some Comments on the Derivative of a Vector with applications to angular momentum and curvature E. L. Lady (October 18, 2000) Finding the formula in polar coordinates for the angular momentum of a moving
A. GRADUATE PROGRAMMES OFFERED AT KYAMBOGO UNIVERSITY GRADUATE SCHOOL
A. GRADUATE PROGRAMMES OFFERED AT KYAMBOGO UNIVERSITY GRADUATE SCHOOL (1) Faculty of Education (a) Department of Foundations of Education (i) Postgraduate Diploma in Education (PGDE) (b) Department of
FINANCE FOR CLEAN ENERGY
Inputs to the Secretary General s Report to the 68 th General Assembly: Development, Transfer & Dissemination of Clean and Environmentally Sound Technologies It is with pleasure for UN Capital Development
CA Callahan SharePoint Services MVP CallahanTech http://servergrrl.blogspot.com
CA Callahan SharePoint Services MVP CallahanTech http://servergrrl.blogspot.com Experience using Windows SharePoint Services 3.0 (or equivalent) General knowledge of and experience using Web Parts, Libraries,
CSE373: Data Structures & Algorithms Lecture 14: Hash Collisions. Linda Shapiro Spring 2016
CSE373: Data Structures & Algorithms Lecture 14: Hash Collisions Linda Shapiro Spring 2016 Announcements Friday: Review List and go over answers to Practice Problems 2 Hash Tables: Review Aim for constant-time
Evaluate Digital Digital Marketing Strategy
Evaluate Digital Digital Marketing Strategy Social Media Marketing Course Fall 2012 Lynchburg College School of Business and Economics Dr Ira Kaufman 2011 What is Effective? Determine the reach and effectiveness
Social Media Marketing
Social Media Marketing Tracy L. Tuten East Carolina University Michael R. Solomon The University of Manchester (U.K.) Saint Josephs University Boston Columbus Indianapolis New York San Francisco Upper
UNIVERSITY OF CALCUTTA
UNIVERSITY OF CALCUTTA SYLLABI F O R THREE-YEAR HONOURS AND GENERAL DEGREE COURSES OF STUDIES Journalism & Mass Communication 2010 1 General Course Journalism & Mass Communication (JORG) Paper-I Print
Perspective. The Hanoi Communiqué
The Hanoi Communiqué The Ministers, representatives of countries, practitioners, scientists, civil society, private sector, and all other participants present at the 2 nd Global Conference on Agriculture,
Chapter 11. h = 5m. = mgh + 1 2 mv 2 + 1 2 Iω 2. E f. = E i. v = 4 3 g(h h) = 4 3 9.8m / s2 (8m 5m) = 6.26m / s. ω = v r = 6.
Chapter 11 11.7 A solid cylinder of radius 10cm and mass 1kg starts from rest and rolls without slipping a distance of 6m down a house roof that is inclined at 30 degrees (a) What is the angular speed
Metropolis at Metrotown Specialty Leasing Guide 2014
Metropolis at Metrotown Specialty Leasing Guide 2014 Metropolis at Metrotown Specialty Leasing 2014 Requirements Thank you for your interest in the Ivanhoé Cambridge Specialty Leasing Program. In order