Remarks
Example: Explain how changing the radius or height of a cylinder affects its surface area and volume.-
Item Type(s):
This benchmark may be assessed using:
MC
,
FR
item(s)
Also Assesses: - Clarification :
Students will determine how changes in parameter(s) affect perimeter, area, surface area, or volume, or vice-versa.
Students will determine how changes to one parameter will change other parameters when the perimeter, area, surface area, or volume is held constant.
- Content Limits :
One or two parameters may be changed, resulting in the change of another parameter.
Three parameters may be changed in one item only if all three are changed by a constant factor.
Solids will be limited to right prisms, right circular cylinders, spheres, right pyramids, right circular cones, and/or composites of these solids.
Items may not include oblique figures.
Items may involve, explicitly and/or implicitly, no more than four parameters.
Changes in dimension may or may not result in similar figures.
- Stimulus Attributes :
Items may be set in either mathematical or real-world contexts.
Graphics should be used in most of these items, as appropriate.
MA.912.G.2.7 Determine how changes in dimensions affect the perimeter and area of common geometric figures.
- Test Item #: Sample Item 1
- Question: Kendra has a compost box that has the shape of a cube. She wants to increase the size of the box by extending every edge of the box by half of its original length. After the box is increased in size, which of the following statements is true?
- Difficulty: N/A
- Type: MC: Multiple Choice
- Test Item #: Sample Item 2
- Question: A city is planning to replace one of its water storage tanks with a larger one. The city’s old tank is a right circular cylinder with a radius of 12 feet and a volume of 10,000 cubic feet. The new tank is a right circular cylinder with a radius of 15 feet and the same height as the old tank. What is the maximum number of cubic feet of water the new storage tank will hold?
- Difficulty: N/A
- Type: FR: Fill-in Response