Mathematics
Grade 8: Measurement |
Planning: Term # Tracking: Ach. Level |
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Overall Expectations |
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research, describe, and report on applications of volume and capacity
measurement; |
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determine the relationships among units and measurable attributes, including
the area of a circle and the volume of a cylinder. |
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Specific Expectations
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Attributes, Units and Measurement Sense |
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research, describe, and report on applications of volume and capacity
measurement (e.g., cooking, closet space, aquarium size) (Sample problem:
Describe situations where volume and capacity are used in your home.). |
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Measurement Relationships |
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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) (Sample problem: What is
the capacity of a cylindrical beaker with a radius
of 5 cm and a height of 15 cm?); |
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measure the circumference, radius, and diameter of circular objects, using
concrete materials (Sample Problem: Use string to measure the circumferences
of different circular objects.); |
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determine, through investigation using a variety of tools (e.g., cans and
string, dynamic geometry software) and strategies, the relationships for
calculating the circumference and the area of a circle, and generalize to
develop the formulas (Sample problem: Use string to measure the
circumferences and the diameters of a variety of cylindrical cans, and
investigate the ratio of the circumference to the diameter.); |
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solve problems involving the estimation and calculation of the circumference
and the area of a circle; |
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determine, through investigation using a variety of tools and strategies
(e.g., generalizing from the volume relationship for right prisms, and
verifying using the capacity of thin-walled cylindrical containers), 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); |
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determine, through investigation using concrete materials, the surface area
of a cylinder (Sample problem: Use the label and the plastic lid from a
cylindrical container to help determine its surface area.); |
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solve problems involving the surface area and the volume of cylinders, using
a variety of strategies (Sample problem: Compare the volumes of the two
cylinders that can be created by taping the top and bottom, or the other two
sides, of a standard sheet of paper.). |
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Student Name: |
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Expectations: Copyright The Queen's Printer for Ontario, 2005. Format: Copyright B.Phillips, 1998.