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Frieze Patterns

  • Frieze Patterns

    Grade: High School

    Students can experiment with the seven classes of Frieze patterns with this activity. They can explore the transformations that constitute each of the seven categories.

    Activity

    Class I - Translation

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    Class II - Horizontal Reflection

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    Class III - Vertical Reflection

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    Class IV - Horizontal and Vertical Reflection

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    Class V - 180° Rotation

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    Class VI - Glide Reflection

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    Class VII - Glide Reflection and Rotation

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    Instructions

    Drag any of the red points to manipulate the given polygon.

    Objectives and Standards

    NCTM Standards and Expectations
    • Geometry / Measurement
    • Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
    • High School (9-12)
    • Geometry