TIPS4Math Grade 8 Cylinders Overall Expectations Students will: • Research, describe, and report on applications of volume and capacity measurement (8m30) • Determine the relationships among units and measurable attributes, including the area of a circle and the volume of a cylinder (8m31) Specific Expectations Students will: • Research, describe, and report on applications of volume and capacity measurement (8m32) • Solve problems that require conversions involving metric units of area, volume, and capacity (i.e., square centimetres and square metres; cubic centimetres and cubic metres; millilitres and cubic centimetres) (8m33) • Determine, through investigation using a variety of tools and strategies, the relationship between the area of the base and height and the volume of a cylinder, and generalize to develop the formula (i.e., Volume = area of base x height) (8m37) • Determine, through investigation using concrete materials, the surface area of a cylinder (8m38) • Solve problems involving the surface area and the volume of cylinders, using a variety of strategies (8m39) Lesson Learning Focus Investigate Volume of • a Cylinder Volume and Capacity of a Cylinder Practice Investigate Surface Area of a Cylinder • • • • • • • • Through investigation, using a variety of tools and strategies (e.g., generalize from the volume relationship for right prisms, stacking circular discs), determine the relationship between the area of the base and the height and the volume of a cylinder Generalize to develop the volume formula for cylinders Use of cubic units to measure volume Research, describe and report on applications of volume and capacity measurement Determine the volume of a cylinder given the area of the base and height as well as when given the radius or diameter and the height Through investigation, using concrete materials, determine the surface area of a cylinder Generalize to develop a surface area formula, using nets Use of square units to measure surface area Determine the surface area of open, partially open and closed cylinders Surface Area of a Cylinder Practice Volume, Capacity and • Solve problems involving real-life contexts that require students to determine whether Surface Area of a surface area or volume is to be calculated Cylinder Mixed • Solve surface area, volume and capacity problems that require conversions between Practice metric units of area, volume and capacity Consolidation and Summative Tasks EduGAINS-Mathematics Specific Expectations 8m37 8m32 8m39 8m38 8m39 8m32 8m33 8m39 Page 1 of 11 TIPS4Math Specific Expectations: 8m37 Learning Focus Investigate Volume of a Cylinder Minds • Review area of a circle On Action • Through investigation, using • • Blended Learning Teacher Guide Unit 2, Activity 3: Cylinders-Volume and Capacity OERB ID: ELO1477250 Unit 2 Activity 3: Minds On a variety of tools and OERB ID: ELO1476980 strategies (e.g.,generalize • Cylinders [2:09] from the volume relationship o volume is the stacking of similar for right prisms, stacking shapes circular discs), determine the o V= area of base x height relationship between the area • Discussion of the base and the height o why does this formula make sense? and the volume of a cylinder • How High? o volume prediction Generalize to develop the volume formula for cylinders Use of cubic units to measure Unit 2 Activity 3: Action volume • Review o Area of base x height o area of a circle • Anchor Chart about Cylinders • Practice Exercise 1: Prisms and Cylinders o manipulate cylinders and prisms and calculate volume • Discussion • Volume and Capacity - the Same But Different o understanding the difference between volume and capacity OERB ID: ELO1417910 EduGAINS-Mathematics Grade 8 Other Resources TIPS4RM Grade 8 Unit 7: Surface Area and Volume of Cylinders • Day 1: How Much Space Is Occupied? • Day 2: Pump Out the Volume! • Day 4: The Cover Up Homework Help • Volume of a Cylinder • Volume Calculation Geometer’s Sketchpad • Exploring 3D Shapes Gizmos • Surface and Lateral Areas of Prisms and Cylinders Learn Alberta Interactives • Exploring Surface Area and Volume Geogebra • Create Prism with Unity Cubes YouTube • Volume Rectangular Prisms NCTM Illuminations • Dynamic Paper Page 2 of 11 TIPS4Math Investigate Volume of a Cylinder (Continued) Specific Expectations: 8m37 Learning Focus Action Consolidation EduGAINS-Mathematics • Blended Learning Feeling Better About Volume OERB ID: ELO1413920 o displacement activity • Pool Capacity OERB ID: ELO1413930 o real-life volume and capacity problems Unit 2 Activity 3: Consolidation • Practice Exercise 2: Samir’s Pool o volume and capacity problem • Assignment 1: Gap Closing – Volume o volume problems Grade 8 Other Resources Gap Closing I/S Student Book: Volume and Surface Area pp 3 – 17 Gap Closing I/S Facilitator’s Guide: Volume and Surface Area pp 4 – 5, 9 – 20 Page 3 of 11 TIPS4Math Volume and Capacity of a Cylinder Practice Specific Expectations: 8m56, 8m60 Learning Focus Minds • Verify volume of a cylinder using capacity On Action • Research, describe and report on • Grade 8 applications of volume and capacity measurement Determine the volume of a cylinder given the area of the base and height as well as when given the radius or diameter and the height Consolidation Blended Learning Other Resources TIPS4RM Grade 8 Unit 7: Surface Area and Volume of Cylinders • Day 3: It’s About Capacity GeoGebra • Create Prism with Unity Cubes Tap Into Teen Minds • Mustard Mayhem! • Hot Coffee YouTube • Volume Rectangular Prisms Knowledgehook • Game Show- Solve Problems That Require Conversions Involving Metric Units of Area, Volume, and Capacity Gap Closing I/S Student Book: Volume and Surface Area pp 6 – 17 Gap Closing I/S Facilitator’s Guide: Volume and Surface Area pp 9 – 20 EduGAINS-Mathematics Page 4 of 11 TIPS4Math Specific Expectations: 8m38 Learning Focus Investigate Surface Area of a Cylinder Blended Learning Teacher Guide Unit 2, Activity 4: Cylinders- Surface Area OERB ID: ELO1477250 Minds • Draw the net for a cylinder Unit 2 Activity 4: Minds On • Describe the surfaces that OERB ID : ELO1476990 On compose the cylinder • Group Work - Hands-On Problem o determine the amount of gift wrap needed for a cylindrical gift • Investigation o Exploring-3D-Shapes-Cylinder o visualize nets of cylinders • Discussion o what shapes made up the net of a cylinder? Unit 2 Activity 4: Action Action • Through investigation, using concrete materials, • Practice Exercise 1: Surface and determine the surface Lateral Areas of Prisms and Cylinders area of a cylinder o find surface area • Generalize to develop a surface area formula, using nets • Use of square units to measure surface area Unit 2 Activity 4: Consolidation Consolidation • Practice Exercise 2: Surface Area of Cylinders o calculate surface area of a variety of different cylinders • Assignment 1: Toilet Paper Roll Challenge - Part 2 o volume and surface area calculations EduGAINS-Mathematics Grade 8 Other Resources TIPS4RM Grade 8 Unit 7: Surface Area and Volume of Cylinders • Day 4: The Cover Up Learn Alberta Interactives • Exploring Surface Area and Volume NCTM Illuminations • Dynamic Paper Gap Closing I/S Student Book: Volume and Surface Area pp 3 – 5, 18 – 24 Gap Closing I/S Facilitator’s Guide: Volume and Surface Area pp 4 – 6, 20 – 27 Page 5 of 11 TIPS4Math Specific Expectations: 8m39 Learning Focus Minds • Determine the surface area of a cylinder from a On Action • Surface Area of a Cylinder Practice net Determine the surface area of open, partially open and closed cylinders Consolidation Grade 8 Blended Learning Other Resources TIPS4RM Grade 8 Unit 7: Surface Area and Volume of Cylinders • Day 5: It’s a Wrap! Homework Help • Calculating the Surface Area of a Cylinder • Cylinder: Surface Area Math is Fun • Cylinders Gap Closing I/S Student Book: Volume and Surface Area pp 3 – 5, 18 – 24 Gap Closing I/S Facilitator’s Guide: Volume and Surface Area pp 4 – 6, 20 – 27 EduGAINS-Mathematics Page 6 of 11 TIPS4Math Volume, Capacity and Surface Area of a Cylinder Mixed Practice Specific Expectations: 8m32, 8m33, 8m39 Learning Focus Minds • Review uses of and differences between surface area, volume On Action • • Grade 8 Blended Learning and capacity Solve problems involving real-life contexts that require students to determine whether surface area or volume is to be calculated Solve surface area, volume and capacity problems that require conversions between metric units of area, volume and capacity Other Resources TIPS4RM Grade 8 Unit 7: Surface Area and Volume of Cylinders • Day 6: It’s All in the Cylinder Gap Closing I/S Student Book: Volume and Surface Area pp 3 – 5, 13 – 24 Gap Closing I/S Facilitator’s Guide: Volume and Surface Area pp 4 – 6, 14 – 27 Consolidation Consolidation and Summative Tasks Specific Expectations:8m32, 8m33, 8m37, 8m38, 8m39 Blended Learning EduGAINS-Mathematics Other Resources Page 7 of 11 TIPS4Math Investigate Volume of a Cylinder Grade 8 Resource URL Teacher Guide: Unit 2, Activity 3: Cylinders-Volume and Capacity Unit 2 Activity 3: Minds On https://download.elearningontario.ca/repository/14/1477250000/GRD8MTHEU06A03/content_3.html Cylinders National Library of Virtual Manipulatives: How High? Unit 2 Activity 3: Action Practice Exercise 1: Prisms and Cylinders Volume and Capacity - the Same But Different Feeling Better About Volume Pool Capacity Unit 2 Activity 3: Consolidation Assignment 1: Gap Closing – Volume TIPS4RM Grade 8 Unit 7: Surface Area and Volume of Cylinders Homework Help: Volume of a Cylinder Homework Help : Volume Calculation Geometer’s Sketchpad: Exploring 3D Shapes EduGAINS-Mathematics https://download.elearningontario.ca/repository/14/1476980000/GRD8MTHEU02A03/content.html https://www.youtube.com/watch?v=qs9NQG-jrzc&feature=youtu.be http://nlvm.usu.edu/en/nav/frames_asid_275_g_3_t_3.html?from=search.html?qt=cubes https://download.elearningontario.ca/repository/14/1476980000/GRD8MTHEU02A03/content_2.html https://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=303 https://download.elearningontario.ca/repository/14/1417910000/LO1127.html https://download.elearningontario.ca/repository/14/1413920000/LO1128-FeelingBetterAboutVolume.html https://download.elearningontario.ca/repository/14/1413930000/LO1126.html https://download.elearningontario.ca/repository/14/1476980000/GRD8MTHEU02A03/content_4.html https://download.elearningontario.ca/repository/14/1477000000/GRD8MTHEU02/GRD8MTHEU02A03/assignment.html http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade8English/ Unit7_SurfaceAreaVolumeCylinders.pdf https://homeworkhelp.ilc.org/tools/best_sessions/best_sessions_details.php?q_id=496080 https://homeworkhelp.ilc.org/tools/tutorials/details.php?object_id=397 http://sketchexchange.keypress.com/sketch/view/744/exploring-3d-shapes Page 8 of 11 TIPS4Math Investigate Volume of a Cylinder (continued) Grade 8 Resource URL Gizmos: Surface and Lateral Areas of Prisms and Cylinders Learn Alberta Interactives: Exploring Surface Area and Volume https://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=349 GeoGebra: Create Prism with Unity Cubes YouTube: Volume Rectangular Prisms NCTM Illuminations: Dynamic Paper Gap Closing I/S Student Book: Volume and Surface Area Gap Closing I/S Facilitator’s Guide: Volume and Surface Area EduGAINS-Mathematics http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH. JR.SHAP&ID2=AB.MATH.JR.SHAP.SURF&lesson=html/video_interactives/areavolume/ areaVolumeInteractive.html http://www.geogebra.org/material/simple/id/109928 https://www.youtube.com/watch?v=E8tuMaDxgJM http://illuminations.nctm.org/Activity.aspx?id=3509 http://www.edugains.ca/resources/LearningMaterials/GapClosing/Grade9/9-3DMeasurement-Volume_SB_IS.pdf http://www.edugains.ca/resources/LearningMaterials/GapClosing/Grade9/9-3DMeasurement-Volume_FG_IS.pdf Page 9 of 11 TIPS4Math Volume and Capacity of a Cylinder Practice Grade 8 Resource URL TIPS4RM Grade 8 Unit 7: Surface Area and Volume of Cylinders GeoGebra: Create Prism with Unity Cubes Tap Into Teen Minds: Mustard Mayhem! Tap Into Teen Minds: Hot Coffee! YouTube: Volume Rectangular Prisms Knowledgehook: Game Show- Solve Problems That Require Conversions Involving Metric Units of Area, Volume, and Capacity Gap Closing I/S Student Book: Volume and Surface Area Gap Closing I/S Facilitator’s Guide: Volume and Surface Area http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade8English/ Unit7_SurfaceAreaVolumeCylinders.pdf https://www.geogebra.org/m/JKscycm7 EduGAINS-Mathematics https://tapintoteenminds.com/3act-math/mustard-mayhem/ https://tapintoteenminds.com/3act-math/hot-coffee/ https://www.youtube.com/watch?v=E8tuMaDxgJM https://www.knowledgehook.com/App/#/Teacher/f3713f0c-9c02-e611-8102-00155dd5c401/ GameShow/4d20e2cc-ae6e-e511-80e7-00155dd5c402/Detail http://www.edugains.ca/resources/LearningMaterials/GapClosing/Grade9/9-3DMeasurement-Volume_SB_IS.pdf http://www.edugains.ca/resources/LearningMaterials/GapClosing/Grade9/9-3DMeasurement-Volume_FG_IS.pdf Page 9 of 11 TIPS4Math Investigate Surface Area of a Cylinder Resource Grade 8 URL Teacher Guide: https://download.elearningontario.ca/repository/14/1477250000/GRD8MTHEU06A03/conUnit 2, Activity 4: Cylinders- Surface Area tent_4.html Unit 2 Activity 4: Minds On https://download.elearningontario.ca/repository/14/1476990000/GRD8MTHEU02A04/content.html Unit 2 Activity 4: Action https://download.elearningontario.ca/repository/14/1476990000/GRD8MTHEU02A04/content_2.html Unit 2 Activity 4: Consolidation https://download.elearningontario.ca/repository/14/1476990000/GRD8MTHEU02A04/content_3.html Assignment 1: Toilet Paper Roll https://download.elearningontario.ca/repository/14/1476990000/GRD8MTHEU02A04/asChallenge - Part 2 signment.html TIPS4RM Grade 8 Unit 7: http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade8English/ Surface Area and Volume of Cylinders Unit7_SurfaceAreaVolumeCylinders.pdf Learn Alberta Interactives: http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH. Exploring Surface Area and Volume JR.SHAP&ID2=AB.MATH.JR.SHAP.SURF&lesson=html/video_interactives/areavolume/ areaVolumeInteractive.html NCTM Illuminations: Dynamic Paper http://illuminations.nctm.org/Activity.aspx?id=3509 Gap Closing I/S Student Book: http://www.edugains.ca/resources/LearningMaterials/GapClosing/Grade9/9-3DMeasureVolume and Surface Area ment-Volume_SB_IS.pdf Gap Closing I/S Facilitator’s Guide: http://www.edugains.ca/resources/LearningMaterials/GapClosing/Grade9/9-3DMeasureVolume and Surface Area ment-Volume_FG_IS.pdf EduGAINS-Mathematics Page 10 of 11 TIPS4Math Surface Area of a Cylinder Practice Grade 8 Resource URL TIPS4RM Grade 8 Unit 7: Surface Area and Volume of Cylinders Homework Help: Calculating the Surface Area of a Cylinder Homework Help: Cylinder: Surface Area Math is Fun: Cylinders Gap Closing I/S Student Book: Volume and Surface Area Gap Closing I/S Facilitator’s Guide: Volume and Surface Area http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade8English/ Unit7_SurfaceAreaVolumeCylinders.pdf https://homeworkhelp.ilc.org/tools/listen_learn/details.php?t_id=321 https://homeworkhelp.ilc.org/chat/chat.php?config=playback&question_id=496081&type=bs http://www.mathsisfun.com/geometry/cylinder.html http://www.edugains.ca/resources/LearningMaterials/GapClosing/Grade9/9-3DMeasurement-Volume_SB_IS.pdf http://www.edugains.ca/resources/LearningMaterials/GapClosing/Grade9/9-3DMeasurement-Volume_FG_IS.pdf Volume, Capacity and Surface Area of a Cylinder Mixed Practice Resource URL TIPS4RM Grade 8 Unit 7: Surface Area and Volume of Cylinders Gap Closing I/S Student Book: Volume and Surface Area Gap Closing I/S Facilitator’s Guide: Volume and Surface Area http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade8English/ Unit7_SurfaceAreaVolumeCylinders.pdf http://www.edugains.ca/resources/LearningMaterials/GapClosing/Grade9/9-3DMeasurement-Volume_SB_IS.pdf http://www.edugains.ca/resources/LearningMaterials/GapClosing/Grade9/9-3DMeasurement-Volume_FG_IS.pdf EduGAINS-Mathematics Page 11 of 11
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