Mathematics (2019) Grade(s): 09-12 - Geometry with Data Analysis

MA19.GDA.22

Explore rotations, reflections, and translations using graph paper, tracing paper, and geometry software.

Unpacked Content

Knowledge

Students know:

  • Characteristics of transformations (translations, rotations, reflections, and dilations).
  • Techniques for producing images under transformations using graph paper, tracing paper, or geometry software.
  • Characteristics of rectangles, parallelograms, trapezoids, and regular polygons.

Skills

Students are able to:

  • Accurately perform dilations, rotations, reflections, and translations on objects in the coordinate plane with and without technology.
  • Communicate the results of performing transformations on objects and their corresponding coordinates in the coordinate plane.

Understanding

Students understand that:

  • Mapping one point to another through a series of transformations can be recorded as a function.
  • Since translations, rotations and reflections preserve distance and angle measure, the image is then congruent.
  • The same transformation may be produced using a variety of tools, but the geometric sequence of steps that describe the transformation is consistent.

Vocabulary

  • Transformation
  • Reflection
  • Translation
  • Rotation
  • Dilation
  • Isometry
  • Composition
  • horizontal stretch
  • vertical stretch
  • horizontal shrink
  • vertical shrink
  • Clockwise
  • Counterclockwise
  • Symmetry
  • Trapezoid
  • Square
  • Rectangle
  • Regular polygon
  • parallelogram
  • Mapping
  • preimage
  • Image
ALSDE LOGO