Mathematics
Grade 8: Measurement 
Planning: Term # Tracking: Ach. Level 

Overall Expectations 
1 
2 
3 
4 
•
research, describe, and report on applications of volume and capacity
measurement; 




•
determine the relationships among units and measurable attributes, including
the area of a circle and the volume of a cylinder. 




Specific Expectations





Attributes, Units and Measurement Sense 




–
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.). 




Measurement Relationships 




–
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?); 




–
measure the circumference, radius, and diameter of circular objects, using
concrete materials (Sample Problem: Use string to measure the circumferences
of different circular objects.); 




–
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.); 




–
solve problems involving the estimation and calculation of the circumference
and the area of a circle; 




–
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 thinwalled 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); 




–
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.); 




–
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.). 




Student Name: 




Expectations: Copyright The Queen's Printer for Ontario, 2005. Format: Copyright B.Phillips, 1998.