Justify and apply formulas for surface area and volume of pyramids, prisms, cylinders, and cones.
Remarks
Students should be limited to prisms, pyramids and cylinders when calculating surface area, and prisms, pyramids, cylinders and cones when calculating volume.General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 7
Body of Knowledge: Geometry
Idea: Level 2: Basic Application of Skills & Concepts
Big Idea: BIG IDEA 2 - Develop an understanding of and use formulas to determine surface areas and volumes of three-dimensional shapes.
Date Adopted or Revised: 09/07
Content Complexity Rating:
Level 2: Basic Application of Skills & Concepts
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More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications
-
Item Type(s):
This benchmark may be assessed using:
MC
,
GR
item(s)
- Clarification :
Students will analyze a situation to justify a strategy for calculating surface area and/or volume.Students will apply formulas to solve problems related to surface area of right-rectangular prisms, nonoblique triangular prisms, right-square pyramids, and right circular cylinders.
Students will apply formulas to solve problems related to volume of right-rectangular prisms, right triangular prisms, right-square pyramids, right-circular cylinders, and cones.
Students will determine one or two dimension(s) of a threedimensional figure, given its volume or surface area and the other dimensions.
- Content Limits :
Dimensions of given figures will be whole numbers.
Problems related to surface area will not include cones, but problems related to volume can include cones.
In calculating surface area and volume of simple shapes, dimensions of given figures will be whole numbers. - Stimulus Attributes :
Items should be set in a real-world or mathematical context.
Graphics should be used in most of these items, as appropriate.
Sample Test Items (2)
- Test Item #: Sample Item 1
- Question: Jonah is calculating the volume of a right circular cylinder. Which of the following is a correct method for calculating the volume of a cylinder?
- Difficulty: N/A
- Type: MC: Multiple Choice
- Test Item #: Sample Item 2
- Question: Maura made a wood frame and covered it with transparent red plastic wrap to create a triangular prism, as shown below.
What is the total surface area, in square inches, of the prism? - Difficulty: N/A
- Type: GR: Gridded-Response
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