Standards Icon Benchmark #:MA.3.G.3.2

  • General Information
    • Benchmark Number: MA.3.G.3.2
      Benchmark Description: Compose, decompose, and transform polygons to make other polygons, including concave and convex polygons with three, four, five, six, eight, or ten sides.


      Subject Area: Mathematics
      Grade Level: 3
      Body of Knowledge: Geometry
      Big Idea: BIG IDEA 3 - Describe and analyze properties of two-dimensional shapes.
      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: Example: With pattern blocks, a trapezoid and a triangle can be combined to form a parallelogram or a large triangle. Also, the hexagon can be decomposed to form two trapezoids, and so forth.

       

      Example: One can cut a triangle off of a parallelogram so that, when translated and attached to the other side, the parallelogram becomes a rectangle.

       

  • RELATED RESOURCES (7)
    • Excellent Benchmark Tie (4)
      Resource Type(s)
      » Polygon Fun
      Students are given a worksheet and asked to compose a hexagon with given qualities and transform given figures.
      Formative Assessment (Primary Type)
      » Polygon Challenge
      Students are given a worksheet that asks them to find shapes within shapes.
      Formative Assessment (Primary Type)
      » Pattern Block Compositions
      Students use pattern blocks to create models of polygons.
      Formative Assessment (Primary Type)
      » Tangram Compositions
      Students use tangram puzzle pieces to create a trapezoid and a rectangle.
      Formative Assessment (Primary Type)

      Good Benchmark Tie (3)

      Resource Type(s)
      » Shape Cutter
      With this tool, you can explore how to decompose shapes and recompose them to make other shapes. You can draw and cut shapes and also use slides, turns, and flips to move pieces around.
      Virtual Manipulative
      Educational Software / Tool
      Teaching Idea (Primary Type)
      » Polygon Challenge
      Students create a polygon with pattern blocks that meets particular requirements, draw it on their paper, and describe its attributes.
      Problem-Solving Task (Primary Type)
      » Clipart: Geometric Shapes
      Various illustrations of polygons, circles, ellipses, star polygons, and inscribed shapes.
      Image / Photograph (Primary Type)

      * Please note that examples of resources are not intended as complete curriculum.


  • Test Item Specifications
    • Reporting Category: Geometry and Measurement
      Item Type(s):
      This benchmark will be assessed using: MC items.
      At Grade 3, this benchmark will be assessed using MC items.
      Clarification: Students will identify polygons which have been composed or decomposed from other polygons.

      Students may use transformations to compose or decompose polygons.
      Content Limits: Items may include concave or convex polygons with 3, 4, 5, 6, 8, or 10 sides.

      Items may include the use of transformations to create new polygons, but the transformation (i.e., rotations, translations, reflections, dilations) will not be assessed.

      Geometric terms will be used with common terminology set in parentheses, i.e., reflection (flip).

      Items may use the following terms: overlapping, combine, and polygon.

      Items will not assess the following vocabulary terms: concave, convex, compose, or decompose.
      Stimulus Attributes: Graphics should be used in most of these items, as 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.K.G.2.1, MA.K.G.2.5, MA.1.G.3.1, MA.1.G.3.2, MA.2.G.5.1, and MA.2.G.5.2.

  • SAMPLE TEST ITEMS (1)
    • Test Item # Question Difficulty Type
      Sample Item 1: Becky has two shape stickers, as shown below.

      graphic...read more

      NA MC : Multiple Choice

  • RELATED COURSES (2)

  • RELATED Access Points (3)
    • Independent
      » MA.3.G.3.In.b: Combine (compose) and separate (decompose) two-dimensional shapes to make other shapes.

      Remarks:
      Student uses manipulatives, objects, or pictures. Cut or fold a paper square in two parts to form triangles or rectangles.
      Supported
      » MA.3.G.3.Su.b: Combine (compose) two shapes to make other shapes.

      Remarks:
      Student uses manipulatives or objects. Put two triangles together to make a square using a template.
      Participatory
      » MA.3.G.3.Pa.a: Recognize common objects with two-dimensional shapes, such as circle and square.


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