Performance Task – Rationale Level 3 Applied

Measurement and Geometry
Performance Task: Part A: Measurement—What is the Best
Juice Container?
LEVEL 1 Anchor
Knowledge and Understanding
• reveals understanding of the relationship between capacity and volume in determining the
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lower limit on the volume
demonstrates some understanding of the volume of a right rectangular prism
shows limited understanding of the volume of a right triangular prism
demonstrates some understanding of the volume of a right cylinder
shows limited understanding of surface area of a cylinder and right prisms
Thinking
• exhibits a limited understanding of the problem; uses inappropriate strategies to determine
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the cost of designs for the cylinder and right rectangular prism (divides instead of multiplying,
to determine incorrect results for the cylinder and rectangular prism)
demonstrates no evidence of a strategy for determining the cost of design for the right
triangular prism
Communication
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communicates with limited effectiveness; provides solutions that lack clarity of thought
does not provide appropriate concluding statements for Questions 2 and 3
Application
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displays some ability to apply knowledge and skills of volume to determining dimensions for
the designs of the cylinder and right prisms
shows limited ability to apply formulas for surface area of a cylinder and right prisms when
determining cost of material
Measurement and Geometry
Performance Task: Part A: Measurement—What is the Best
Juice Container?
LEVEL 2 Anchor
Knowledge and Understanding
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reveals understanding of the relationship between capacity and volume in determining the
lower limit on the volume
demonstrates some understanding of the volume and surface area of a right rectangular prism
shows limited understanding of the volume and surface area of a right triangular prism
demonstrates some understanding of the volume and surface area of a right cylinder, but
solves incorrectly for the height of the cylinder in Question 2
Thinking
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exhibits a good understanding of the problem; uses appropriate strategies to determine the
cost of designs for the cylinder and right rectangular prism (uses incorrect value for height to
obtain incorrect result for the cylinder)
demonstrates limited strategies for determining the cost of design for the right triangular
prism
Communication
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communicates with some effectiveness; provides solutions that reveal some clarity of thought
provides appropriate concluding statements for Questions 2 and 3
Application
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displays some ability to apply knowledge and skills of volume to determining dimensions for
the designs of the cylinder and right rectangular prism
shows limited ability to apply knowledge and skills of volume to determining dimensions for
the design of the right triangular prism
shows some ability to apply formulas for surface area of a cylinder and right prisms when
determining cost of material
Measurement and Geometry
Performance Task: Part A: Measurement—What is the Best
Juice Container?
LEVEL 3 Anchor
Knowledge and Understanding
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demonstrates considerable understanding of the relationship between capacity and volume in
determining the lower limit on the volume
demonstrates considerable understanding of the volume and surface area of right prisms
demonstrates considerable understanding of the volume and surface area of a cylinder
Thinking
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demonstrates considerable understanding of the problem
uses appropriate strategies to determine the cost of designs for right prisms
uses appropriate strategies to determine the cost of the design for a cylinder
Communication
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communicates with considerable effectiveness; provides solutions that reveal some clarity of
thought
provides clear conclusions to calculations in Questions 2 and 3, but does not provide
concluding statements
Application
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demonstrates considerable ability to apply knowledge and skills of volume to determining
dimensions for the designs of the cylinder and right prisms, and in validating calculations, but
shows some inconsistency in rounding strategies
shows considerable ability to apply formulas for surface area of a cylinder and right prisms
when determining cost of material, but does make some calculation errors involving the
triangular prism
Measurement and Geometry
Performance Task: Part A: Measurement—What is the Best
Juice Container?
LEVEL 4 Anchor
Knowledge and Understanding
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demonstrates thorough understanding of the relationship between capacity and volume in
determining the lower limit on the volume
demonstrates thorough understanding of the volume and surface area of right prisms
demonstrates thorough understanding of the volume and surface area of a right cylinder
Thinking
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demonstrates thorough understanding of the problem; uses appropriate strategies to determine
the cost of designs for the cylinder and right rectangular prism with a high degree of
effectiveness
demonstrates strategies for determining the cost of design for the right triangular prism with a
high degree of effectiveness
Communication
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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
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displays ability to apply knowledge and skills of volume to determining dimensions for the
designs of the cylinder and right prisms with a high degree of effectiveness
shows ability to apply formulas for volume and surface area of a cylinder and right prisms
with a high degree of effectiveness, however does not use consistent dimensions when
working with the triangular right prism