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
