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
