MA19.GDA.21

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

MA19.GDA.21
Represent transformations and compositions of transformations in the plane (coordinate and otherwise) using tools such as tracing paper and geometry software.

Unpacked Content

Knowledge

Students know:

Characteristics of transformations (translations, rotations, reflections, and dilations).
Methods for representing transformations.
Characteristics of functions.
Conventions of functions with mapping notation.

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, including when the transformation preserves distance and angle.
Use the language and notation of functions as mappings to describe transformations.

Understanding

Students understand that:

Mapping one point to another through a series of transformations can be recorded as a function.
Some transformations (translations, rotations, and reflections) preserve distance and angle measure, and the image is then congruent to the pre-image, while dilations preserve angle but not distance, and the pre-image is similar to the image.
Distortions, such as only a horizontal stretch, preserve neither.

Vocabulary

Transformation
Reflection
Translation
Rotation
Dilation
Isometry
Composition
Horizontal stretch
Vertical stretch
Horizontal shrink
Vertical shrink
Clockwise
Counterclockwise
Symmetry
Preimage
Image

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