Standard #: MA.4.G.5.2 (Archived Standard)


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Identify and describe the results of translations, reflections, and rotations of 45, 90, 180, 270, and 360 degrees, including figures with line and rotational symmetry.


Remarks


Paper folding, mirrors, and computer technology may be helpful in developing student understanding of these concepts. Simple tessellation of plane may provide engaging opportunities for practice.

General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 4
Body of Knowledge: Geometry
Supporting Idea: Geometry and Measurement - Geometry and Measurement
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - 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 item(s)
    N/A

    Clarification :
    Students will identify a shape that is the result of a translation, reflection, and/or rotation of 45°, 90°, 180°, 270°, or 360°, including those with line and rotational symmetry.
    Content Limits :

    For rotations, the center of rotation may be shown on the object being rotated. 

    The following vocabulary terms may be used: transformation, translation, reflection, rotation, clockwise, counterclockwise, line symmetry, rotational symmetry, and center.

    Items should include no more than two transformations.
    Stimulus Attributes :
    Graphics must be used in all these items.

    Items may be set in either a real-world or a mathematical context.


Sample Test Items (1)

Test Item # Question Difficulty Type
Sample Item 1 Native Australians sometimes used boomerangs. A picture of a boomerang is shown below.

boomerang graphic

which of the following pictures shows the boomerang rotated 90° counterclockwise around point x? 		N/A MC: Multiple Choice


Related Resources

Lesson Plans

Name Description
Runway Rotations

Students will use small paper airplanes to model rotations required to turn onto a runway. Students will rotate planes 45, 90, 180, 270, and 360 degrees. Students will identify and describe the results of rotations using benchmark angles.

Triangles on a Lattice

In this activity, students will use a 3x3 square lattice to study transformations of triangles whose vertices are part of the lattice. The tasks include determining whether two triangles are congruent, which transformations connect two congruent triangles, and the number of non-congruent triangles (with vertices on the lattice) that are possible.

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