Standard #: MA.8.G.5.1 (Archived Standard)


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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
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)
    N/A

    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 # Question Difficulty Type
Sample Item 1 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.

Table

How much of the original window trim will the carpenter have left after cutting off the pieces he needs?

N/A MC: Multiple Choice
Sample Item 2 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? N/A GR: Gridded-Response


Related Resources

Teaching Idea

Name Description
Absolute Zero A PBS/NOVA lesson (with optional accompanying video) for which students will build and calibrate a thermometer, demonstrate the concept of temperature, measure temperature, and learn the history of the invention of the thermometer and the idea of absolute zero.

Tutorial

Name Description
Converting Speed Units

In this lesson, students will be viewing a Khan Academy video that will show how to convert ratios using speed units.

Student Resources

Tutorial

Name Description
Converting Speed Units:

In this lesson, students will be viewing a Khan Academy video that will show how to convert ratios using speed units.



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