Measurement and Geometry
Performance Task: Part A: Measurement—What is the Best
Juice Container?
LEVEL 1 Anchor
Knowledge and Understanding
•
•
demonstrates a limited understanding of calculating the volume of right prisms
demonstrates a limited understanding of calculating the volume of right cylinders
Thinking
•
•
•
shows limited understanding of the problem
demonstrates limited ability and shows no evidence of a strategy to determine the volume
of a cylinder, cube, or right triangular prism
demonstrates no evidence of an appropriate plan to determine doubling the radius results
in the larger container
Communication
•
•
communicates with limited effectiveness; does not identify necessary steps in each
solution and appropriate conclusions
throughout, does not show units for volume
Application
•
•
shows no evidence of the ability to apply knowledge and skills of volume calculations to
checking dimensions for any of the given designs
shows no evidence of the ability to apply knowledge and skills of volume calculations
when a given dimension is changed
ONAP
MG C-1.1
Name: ______________________________________ Date: ____________________________
Performance Task
Part A: Measurement—What is the Best Juice Container?
The Best Juice Company wants to sell orange juice in containers that hold 2 L
of juice. The design team is making decisions about the container.
The Best Juice Company design team has narrowed the choices to three
possible designs
•
a right cylinder
•
a cube
•
a right triangular prism (The base of the right triangular prism would be an
equilateral triangle so all three sides are equal.)
The design team wants the container to fit the following requirements:
•
The container must hold 2 L of juice. (1 L = 1000 mL)
•
The container will be a right cylinder, a cube, or a right triangular prism.
•
The volume of the container must be less than 2200 cm3. (1 mL = 1 cm3)
Volume of a right cylinder = area of base × height, or
V = π × radius × radius × height, or V = πr2h
Volume of a cube = area of base of prism × height of prism, or
Volume = length × width × height, or V = lwh, or
Volume = side × side × side, or V = s3
Volume of a right triangular prism = area of base of prism × height of prism, or
V=
NEL
1
× base of triangle × height of triangle × height of prism
2
Copyright © 2011 by Nelson Education Ltd.
Measurement and Geometry
Performance Task: Part A: Measurement—What is the Best
Juice Container?
LEVEL 2 Anchor
Knowledge and Understanding
•
•
demonstrates a good understanding of calculating the volume of a right cylinder and a cube
shows a limited understanding of calculating the volume of a right triangular prism
Thinking
•
•
•
shows some understanding of the problem, especially for the cylinder and cube
demonstrates limited ability and incomplete strategy to determine the volume of a right
triangular prism
demonstrates some evidence of an appropriate plan to determine doubling the radius results
in the larger container
Communication
•
•
communicates with some effectiveness; identifies necessary steps in each solution and
appropriate conclusions
throughout, does not show units for volume (or uses units for capacity instead)
Application
•
•
•
displays some ability to apply knowledge and skills of volume calculations to checking
dimensions for the given designs of the cylinder and cube
displays limited ability to apply knowledge and skills of volume calculations to checking
dimensions for the given design of the right triangular prism
reveals ability to apply knowledge and skills of volume calculations when a given
dimension is changed
ONAP
MG C-1.1
Name: ______________________________________ Date: ____________________________
Performance Task
Part A: Measurement—What is the Best Juice Container?
The Best Juice Company wants to sell orange juice in containers that hold 2 L
of juice. The design team is making decisions about the container.
The Best Juice Company design team has narrowed the choices to three
possible designs
•
a right cylinder
•
a cube
•
a right triangular prism (The base of the right triangular prism would be an
equilateral triangle so all three sides are equal.)
The design team wants the container to fit the following requirements:
•
The container must hold 2 L of juice. (1 L = 1000 mL)
•
The container will be a right cylinder, a cube, or a right triangular prism.
•
The volume of the container must be less than 2200 cm3. (1 mL = 1 cm3)
Volume of a right cylinder = area of base × height, or
V = π × radius × radius × height, or V = πr2h
Volume of a cube = area of base of prism × height of prism, or
Volume = length × width × height, or V = lwh, or
Volume = side × side × side, or V = s3
Volume of a right triangular prism = area of base of prism × height of prism, or
V=
NEL
1
× base of triangle × height of triangle × height of prism
2
Copyright © 2011 by Nelson Education Ltd.
Measurement and Geometry
Performance Task: Part A: Measurement—What is the Best
Juice Container?
LEVEL 3 Anchor
Knowledge and Understanding
•
demonstrates considerable understanding of the relationship between capacity and
volume in considering the upper limit on the volume, but does not consider the lower
limit
•
demonstrates considerable understanding of calculating the volume of right
prisms
demonstrates considerable understanding of calculating the volume of a cylinder
•
Thinking
•
•
demonstrates considerable understanding of the problem when deciding which of the
given designs meets the requirements
demonstrates considerable understanding of the problem when checking the effects of
doubling radius versus height
Communication
•
•
communicates with considerable effectiveness; provides solutions that reveal some
clarity of thought
provides appropriate concluding statements
Application
•
•
displays considerable ability to apply knowledge and skills of volume calculations to
checking dimensions for the given designs of the cylinder and right prisms
displays considerable ability to apply knowledge and skills of volume calculations when
a given dimension is changed
ONAP
MG C-1.1
Name: ______________________________________ Date: ____________________________
Performance Task
Part A: Measurement—What is the Best Juice Container?
The Best Juice Company wants to sell orange juice in containers that hold 2 L
of juice. The design team is making decisions about the container.
The Best Juice Company design team has narrowed the choices to three
possible designs
•
a right cylinder
•
a cube
•
a right triangular prism (The base of the right triangular prism would be an
equilateral triangle so all three sides are equal.)
The design team wants the container to fit the following requirements:
•
The container must hold 2 L of juice. (1 L = 1000 mL)
•
The container will be a right cylinder, a cube, or a right triangular prism.
•
The volume of the container must be less than 2200 cm3. (1 mL = 1 cm3)
Volume of a right cylinder = area of base × height, or
V = π × radius × radius × height, or V = πr2h
Volume of a cube = area of base of prism × height of prism, or
Volume = length × width × height, or V = lwh, or
Volume = side × side × side, or V = s3
Volume of a right triangular prism = area of base of prism × height of prism, or
V=
NEL
1
× base of triangle × height of triangle × height of prism
2
Copyright © 2011 by Nelson Education Ltd.
Measurement and Geometry
Performance Task: Part A: Measurement—What is the Best
Juice Container?
LEVEL 4 Anchor
Knowledge and Understanding
•
•
•
demonstrates thorough understanding of the relationship between capacity and volume
in determining the lower limit on the volume
demonstrates thorough understanding of the volume of right prisms
demonstrates thorough understanding of the volume of a right cylinder
Thinking
•
•
demonstrates thorough understanding of the problem when deciding which of the given
designs meets the requirements
demonstrates considerable understanding of the problem when checking the effects of
doubling radius versus height
Communication
•
•
communicates with a high degree of effectiveness; provides solutions that reveal some
clarity of thought
provides concluding statements with a high degree of effectiveness
Application
•
•
displays ability to apply knowledge and skills of volume calculations to determine
dimensions for the given designs of the cylinder and right prisms with a high degree of
effectiveness
shows ability to apply knowledge and skills of volume calculations when a given
dimension is changed, with a high degree of effectiveness
ONAP
MG C-1.1
Name: ______________________________________ Date: ____________________________
Performance Task
Part A: Measurement—What is the Best Juice Container?
The Best Juice Company wants to sell orange juice in containers that hold 2 L
of juice. The design team is making decisions about the container.
The Best Juice Company design team has narrowed the choices to three
possible designs
•
a right cylinder
•
a cube
•
a right triangular prism (The base of the right triangular prism would be an
equilateral triangle so all three sides are equal.)
The design team wants the container to fit the following requirements:
•
The container must hold 2 L of juice. (1 L = 1000 mL)
•
The container will be a right cylinder, a cube, or a right triangular prism.
•
The volume of the container must be less than 2200 cm3. (1 mL = 1 cm3)
Volume of a right cylinder = area of base × height, or
V = π × radius × radius × height, or V = πr2h
Volume of a cube = area of base of prism × height of prism, or
Volume = length × width × height, or V = lwh, or
Volume = side × side × side, or V = s3
Volume of a right triangular prism = area of base of prism × height of prism, or
V=
NEL
1
× base of triangle × height of triangle × height of prism
2
Copyright © 2011 by Nelson Education Ltd.