Standards Icon Benchmark #:MA.5.G.5.4

  • General Information
    • Benchmark Number: MA.5.G.5.4
      Benchmark Description: Derive and apply formulas for areas of parallelograms, triangles, and trapezoids from the area of a rectangle.


      Subject Area: Mathematics
      Grade Level: 5
      Body of Knowledge: Geometry
      Supporting Idea: Geometry and Measurement - Geometry and Measurement
      Date Adopted or Revised: 09/07
      Date of Last Rating: 06/07
      Cognitive Complexity: High   -  What does this mean?
      Status: State Board Approved
      Assessed? Assessed
      Remarks/Examples: The formula for the area of a rectangle, "base x height", can be applied to develop formulas for the area of parallelograms, triangles, and trapezoids. Triangles can be constructed from diagonals of parallelograms to explore the formula "base x height divided by 2".  

  • Test Item Specifications
    • Reporting Category: Geometry and Measurement
      Item Type(s):
      This benchmark will be assessed using: MC items.
      At Grade 5, this benchmark will be assessed using MC items.
      Clarification: Students will find the areas of parallelograms, triangles, and trapezoids.

      Students will justify the area formulas for parallelograms, triangles, and trapezoids using the area formula for rectangles.
      Content Limits: Items assessing areas of trapezoids must use only isosceles trapezoids.

      Areas must include whole numbers with three or fewer significant digits and up to a maximum of five digits.
      Stimulus Attributes: Graphics must be used in all these items.

      Items that are set in real-world context may use length and width as dimensions as well as base and height as dimensions.

      Graphics of figures may include dashed lines that show how a shape can be decomposed and recomposed to form a rectangle.

      Figures should be presented on grids, when appropriate.
      Prior Knowledge: Items may require the student to apply mathematical knowledge described in the Standards from lower grades. This benchmark requires prerequisite knowledge from MA.3.G.3.1, MA.3.G.3.2, MA.3.G.3.3 and MA.4.G.3.1, MA.4.G.3.2, MA.4.G.3.3.

  • SAMPLE TEST ITEMS (1)
    • Test Item # Question Difficulty Type
      Sample Item 1: A drama teacher drew up plans for a stage he wants to build. A diagram of the top of the stage,...   ...read more NA MC : Multiple Choice

  • RELATED COURSES (2)

  • RELATED Access Points (4)


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