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
