Mathematics (2019) Grade(s): 09-12 - Mathematical Modeling

MA19.MM.13

Use technology and other tools to explore the results of simple transformations using three- dimensional coordinates, including translations in the x, y, and/or z directions; rotations of $90^{\circ}$, $180^{\circ}$, or $270^{\circ}$ about the x, y, and z axes; reflections over the xy, yz, and xy planes; and dilations from the origin.

COS Examples

Example: Given the coordinates of the corners of a room in a house, find the coordinates of the same room facing a different direction.

Unpacked Content

Knowledge

Students know:
  • that three dimensional figures are formed from two dimensional figures.
  • That a dilation produces a smaller or larger version of a figure.

Skills

Students are able to:
  • Combine three dimensional figures to form a scale model.
  • Transform a two or three dimensional figure.
  • Find a dilation of a three dimensional figure.

Understanding

Students understand that:
  • A scale model of a three dimensional figure is comprised of two dimensional objects that have been transformed.

Vocabulary

  • Two Dimensional Object
  • Three Dimensional Object
  • Translation
  • Reflection
  • Rotation
  • Dilation
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