MA19.GDA.23

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

MA19.GDA.23
Develop definitions of rotation, reflection, and translation in terms of angles, circles, perpendicular lines, parallel lines, and line segments.

Unpacked Content

Knowledge

Students know:

Characteristics of transformations (translations, rotations, reflections, and dilations).
-Properties of a mathematical definition, i.e., the smallest amount of information and properties that are enough to determine the concept. (Note: may not include all information related to concept).

Skills

Students are able to:

Accurately perform rotations, reflections, and translations on objects with and without technology.
Communicate the results of performing transformations on objects.
Use known and developed definitions and logical connections to develop new definitions.

Understanding

Students understand that:

Geometric definitions are developed from a few undefined notions by a logical sequence of connections that lead to a precise definition.
A precise definition should allow for the inclusion of all examples of the concept and require the exclusion of all non-examples.

Vocabulary

Transformation
Reflection
Translation
Rotation
Dilation
Isometry
Composition
Clockwise
Counterclockwise
Preimage
Image

Aligned Learning Resources

Flea the Frog (Saving and Credit Cards) | $martPath

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