Standards Icon Benchmark #:MA.3.G.3.3

  • General Information
    • Benchmark Number: MA.3.G.3.3
      Benchmark Description: Build, draw, and analyze two-dimensional shapes from several orientations in order to examine and apply congruence and symmetry.


      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: Moderate   -  What does this mean?
      Status: State Board Approved
      Assessed? Assessed
      Remarks/Examples: Example: Draw a line of symmetry for each of the following:


      Symmetry mainly includes reflectional symmetry at grade 3. Students should explore that reflectional symmetry produces congruent shapes.
       

  • RELATED RESOURCES (7)
    • Excellent Benchmark Tie (5)
      Resource Type(s)
      » Symmetric and Congruent Shapes
      Students are given a worksheet and asked to determine congruency and symmetry.
      Formative Assessment (Primary Type)
      » Congruent Figures and Symmetry
      The student is given a worksheet and asked to determine congruence and symmetry.
      Formative Assessment (Primary Type)
      » Geoboard Symmetry
      Students are asked to make shapes on a geoboard or dot paper, to draw lines of symmetry, and to determine congruence.
      Formative Assessment (Primary Type)
      » Folding for Symmetry
      Students are given five shapes and asked to cut out each shape, to fold the shapes on their lines of symmetry, and to draw all the lines of symmetry on the fold.
      Formative Assessment (Primary Type)
      » Symmetry in Your World
      This unit focuses on symmetrical shapes and objects in the real world. Students learn how to identify lines of symmetry as well as complete the missing halves of symmetrical figures. Students apply their knowledge of symmetry to real world...    ...read more 
      Unit / Lesson Sequence (Primary Type)
      Worksheet
      Virtual Manipulative
      Assessment

      Good Benchmark Tie (2)

      Resource Type(s)
      » Geometry in the World of Art: Finding Lines of Symmetry
      Students identify lines of symmetry and congruent figures. They explore these concepts with paper cutting and modeling on the geoboard.  
      Lesson Plan (Primary Type)
      Worksheet
      Virtual Manipulative
      » Creating a Symmetrical Design
      This unit teaches students the meaning of symmetry by having them manipulate a variety of objects. Using this knowledge, they will create a symmetrical design and write an informative paragraph about the quilt design and the importance of symmetry....    ...read more 
      Unit / Lesson Sequence (Primary Type)
      Worksheet

      * 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 lines of symmetry and/or reflections.

      Students will identify congruent polygons.

      Students will identify two-dimensional shapes composed of congruent polygons.
      Content Limits: Items may include concave and convex polygons with 3, 4, 5, 6, 8, or 10 sides.

      Items should use the correct geometric term with common terminology set in parentheses, i.e., reflection (flip).

      Items may assess the following terms: symmetry, reflection, and/or congruent.

      Transformations may be used in graphics; however, the transformations needed to compose or decompose polygons (rotations, translations, dilations) will not be assessed.
      Stimulus Attributes: Items may be set in either a real-world or mathematical context.

      Graphics should be used in all of these items.
      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: Sam cut a rectangular piece of paper into 2 congruent pieces. Which could be the two pieces of...   ...read more NA MC : Multiple Choice

  • RELATED COURSES (2)

  • RELATED Access Points (3)
    • Independent
      » MA.3.G.3.In.c: Identify two-dimensional shapes that are the same shape and size (congruent).

      Remarks:
      Student uses manipulatives, objects, or pictures.
      Supported
      » MA.3.G.3.Su.c: Match two-dimensional shapes that are the same shape and size (congruent).

      Remarks:
      Student uses manipulatives or objects.
      Participatory
      » MA.3.G.3.Pa.b: Recognize two-dimensional shapes, including circle and square, that are the same shape and size (congruent).


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