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Assessments
ODE Assessment Item, Grade 7: Volume of Extended Pillow
Discipline
Mathematics
Grade
7
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Professional Commentary

Students need to analyze and explain the effects that doubling the length versus doubling the diameter have on the volume of a circular cylinder. This extended-response question is a sample item used in the 2008 Ohio Grade 7 Achievement Test (see Overview of Ohio's Assessment System). The URL link (above) takes the user directly to the OAT item (PDF), with access to performance data, complexity level of the item, a complete solution of the problem, and a scoring rubric. The Ohio Department of Education Instructional Management System website allows visitors to search for test items by subject and grade band and build a printable database of questions using the Add to Your Backpack function. ODE Reference Information: 2008 Ohio Grade 7 Achievement Test for Mathematics, Annotated Item 26. (author/sw)


Ohio Mathematics Academic Content Standards (2001)
Measurement Standard
Benchmarks (5–7)
F.
Analyze and explain what happens to area and perimeter or surface area and volume when the dimensions of an object are changed.
Grade Level Indicators (Grade 7)
9.
Describe what happens to the surface area and volume of a three-dimensional object when the measurements of the object are changed; e.g., length of sides are doubled.
Principles and Standards for School Mathematics
Measurement Standard
Apply appropriate techniques, tools, and formulas to determine measurements.
Expectations (6–8)
develop strategies to determine the surface area and volume of selected prisms, pyramids, and cylinders;