Cylinders - EduGAINS

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