TIPS4Math
Grade 5
Volume of Rectangular Prisms and Capacity
Overall Expectations
Students will:
• Determine the relationships among units and measurable attributes, including the area of a rectangle and the volume of a
rectangular prism (5m32)
• Demonstrate, through investigation, an understanding of the use of variables in equations (5m62)
Specific Expectations
Students will:
• Determine, through investigation, the relationship between capacity (i.e., the amount a container can hold) and volume (i.e., the
amount of space taken up by an object), by comparing the volume of an object with the amount of liquid it can contain or displace
(5m43)
• Determine, through investigation using stacked congruent rectangular layers of concrete materials, the relationship between the
height, the area of the base, and the volume of a rectangular prism, and generalize to develop the formula (i.e., Volume = area of
base x height) (5m44)
• Demonstrate, through investigation, an understanding of variables as unknown quantities represented by a letter or other symbol
(5m69)
• Determine the missing number in equations involving addition, subtraction, multiplication, or division and one- or two-digit
numbers, using a variety of tools and strategies (5m70)
Lesson
Relationships in
Rectangular Prisms
Learning Focus
•
Investigate the relationship of the area of the base, the height of a rectangular
prism and its volume using stacked congruent layers of concrete materials
• Generalize the relationship to a formula
Volume of Rectangular
• Use the relationship and formula to solve for the volume of a rectangular prism
Prisms
given either the base area and height or the length, width and height
• Demonstrate, through investigation, an understanding of variables as changing
quantities, given equations with letters or symbols
• Determine the missing number in equations
• Solve for the height if the base area and volume are known
• Suggest different dimensions that result in rectangular prisms with the same
volume
Capacity and Volume
• Through investigation, determine the relationship between capacity and volume
• Identify and work with the knowledge that 1 cubic centimetre has a capacity of
1 millilitre
Consolidation and Summative Tasks
EduGAINS-Mathematics
Specific
Expectations
5m44
5m69
5m44
5m69
5m70
5m43
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TIPS4Math
Relationships in Rectangular Prisms
Specific Expectations: 5m44, 5m69
Learning Focus
Minds
On
•
Construct rectangular prism from
concrete materials
Blended Learning
Teacher Guide
Unit 2 Activity 4: Volume
OERB ID: ELO1476820
Unit 2 Activity 4: Minds On
OERB ID: ELO1476610
• Volume and Capacity Video and
questions
Grade 5
Other Resources
Note: supplementation required for
actual constructions
Action
•
•
Investigate the relationship of the
area of the base, the height of a
rectangular prism and its volume
using stacked congruent layers of
concrete materials
Generalize the relationship to a
formula
Consolidation
EduGAINS-Mathematics
Unit 2 Activity 4: Consolidation
OERB ID: ELO1476610
• Practice Sheet
• Assignment 1 – Volume
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TIPS4Math
Volume of Rectangular Prisms
Specific Expectations: 5m44, 5m69, 5m70
Learning Focus
Minds
On
Action
Grade 5
•
Review volume of 3-D figures
•
Use the relationship and formula to
solve for the volume of a
rectangular prism given either the
base area and height or the length,
width and height
Demonstrate, through investigation,
an understanding of variables as
changing quantities, given equations
with letters or symbols
Determine the missing number in
equations
Solve for the height if the base area
and volume are known
Suggest different dimensions that
result in rectangular prisms with the
same volume
•
•
•
•
Blended Learning
Teacher Guide
Unit 2 Activity 4: Volume
OERB ID: ELO1476820
Other Resources
NCTM Illuminations
• Cubes
Unit 2 Activity 4: Action
• Volume
o Topics 1,2,3 and 6 only
• Exploring the Volume of Rectangular
Prisms
OERB ID: ELO1410750
Note:
• Exploring the Volume of Rectangular
Prisms does touch a bit on the
volume/capacity relationship as well
• supplementation required for
determining an algebraic equation
to represent the formula and using it
to solve for missing measures;
working with different dimensions to
get same volume
Consolidation
EduGAINS-Mathematics
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TIPS4Math
Specific Expectations: 5m43
Learning Focus
Minds • Review capacity and volume
On
Action • Through investigation, determine
•
Grade 5
Capacity and Volume
Blended Learning
Other Resources
the relationship between capacity
and volume
Identify and work with the
knowledge that 1 cubic centimetre
has a capacity of 1 millilitre
Consolidation
Consolidation & Summative Tasks
Specific Expectations: 5m43, 5m44, 5m69, 5m70
Blended Learning
EduGAINS-Mathematics
Other Resources
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TIPS4Math
Relationships in Rectangular Prisms
Resource
URL
Teacher Guide:
Unit 2 Activity 4: Volume
Unit 2 Activity 4: Minds On
Volume and Capacity video
Unit 2 Activity 4: Consolidation
Assignment 1 – Volume
Grade 5
https://download.elearningontario.ca/repository/14/1476820000/GRD5MTHEU06A05/content_4.
html
https://download.elearningontario.ca/repository/14/1476560000/GRD5MTHEU02/GRD5MTHEU02/
GRD5MTHEU02A04/content.html
https://vimeo.com/41795898#at=2
https://download.elearningontario.ca/repository/14/1476560000/GRD5MTHEU02/GRD5MTHEU02/
GRD5MTHEU02A04/content_3.html
https://download.elearningontario.ca/repository/14/1476560000/GRD5MTHEU02/GRD5MTHEU02/
GRD5MTHEU02A04/assignment.html
Volume of Rectangular Prisms
Resource
URL
Teacher Guide:
Unit 2 Activity 4: Volume
Volume
Exploring the Volume of
Rectangular Prisms
NCTM Illuminations:
Cubes
EduGAINS-Mathematics
https://download.elearningontario.ca/repository/14/1476820000/GRD5MTHEU06A05/content_4.
html
http://www.learnalberta.ca/content/me5l/html/math5.html?goLesson=14
https://download.elearningontario.ca/repository/14/1410750000/Williams_Gr5_Mea_SB1.html
https://illuminations.nctm.org/Activity.aspx?id=4095
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