MA19.GDA.22

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

MA19.GDA.22
Explore rotations, reflections, and translations using graph paper, tracing paper, and geometry software.

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

Aligned Learning Resources

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

Design by Adaptive Theme