Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI)) and dimensions including temperature, area, volume, and derived units to solve problems.
Remarks
Example 1: Convert 25ºC to degrees Fahrenheit.Example 2: Convert 30 miles per hour to feet per second.
Students should not be using only formulas to do this. 1 mile = 5280 feet, and there are 3600 seconds in 1 hour. We may use these equivalencies to substitute feet for miles and seconds for hours.
Another way to convert units is demonstrated here:
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 8
Body of Knowledge: Geometry
Idea: Level 3: Strategic Thinking & Complex Reasoning
Supporting Idea: Geometry and Measurement - Geometry and Measurement
Date Adopted or Revised: 09/07
Content Complexity Rating:
Level 3: Strategic Thinking & Complex Reasoning
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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 compare, contrast, and convert:- units of capacity, mass, weight, and temperature between different measurement systems;
- dimensions, including area and volume, within the same system to solve real-world problems; and
- derived units to solve problems within the same system (e.g., mi/hr to ft/sec).
- Content Limits :
The majority of the items addressing dimensions should focus on area, volume, and capacity.
Items may involve mixed units within each system, such as converting hours and minutes to seconds.
Only items assessing derived units will convert time measurements.
Items may include conversion from customary to metric or vice versa, using only the conversions found on the conversion sheet.
Items may include up to three conversions within the same system of measurement (e.g., converting cups to gallons).
Gridded-response items may only involve conversions within the same system of measurement. - Stimulus Attributes :
Items should be set in a real-world context.
Sample Test Items (2)
- Test Item #: Sample Item 1
- Question: A carpenter purchased 7 feet (ft) 10 inches (in.) of window trim. The table shows the length and number of pieces he needs to cut from the window trim.
How much of the original window trim will the carpenter have left after cutting off the pieces he needs?
- Difficulty: N/A
- Type: MC: Multiple Choice
- Test Item #: Sample Item 2
- Question: A farmer needs to calculate the number of cubic yards in 837 cubic feet of soil. How many cubic yards are equivalent to 837 cubic feet?
- Difficulty: N/A
- Type: GR: Gridded-Response
Related Access Points
Alternate version of this benchmark for students with significant cognitive disabilities.
Related Resources
Vetted resources educators can use to teach the concepts and skills in this benchmark.
Teaching Idea
Tutorial
Student Resources
Vetted resources students can use to learn the concepts and skills in this benchmark.
Tutorial
Converting Speed Units:
In this lesson, students will be viewing a Khan Academy video that will show how to convert ratios using speed units.
Type: Tutorial
Parent Resources
Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.