TRANSFORMATIONSLupita Rios

TEKS-5TH GRADE• (4) In geometry and measurement, students will classify t wo-dimensional f igures, connect

geometric attributes to the measures of three-dimensional f igures, use units of measure, and represent locat ion using a coordinate plane. In data analysis, students will represent

and interpret data.• (5) Geometry and measurement. The student applies mathemat ical process standards to

classify t wo-dimensional f igures by attributes and propert ies. The student is expected to classify t wo-dimensional f igures in a hierarchy of sets and subsets using graphic

organizers based on their attributes and propert ies.

In today’s lesson, the student is expected to: (A) ident ify and label the different types of transformat ions.

WHAT’S TRANSFORMATION?• Transformation: An operation that maps or moves the

points of a figure in a plane. • The original shape of the object is called the pre-image

and the final shape and position of the object is the image under the transformation. • Three types of transformations are translation,

reflection, and rotation. • A transformation can include a slide, flip, or turn.

INTERACTIVE TRANSFORMED FIGURE

Click on the link to view a transformed figure and learn more about

transformations.

http://www.mathsisfun.com/geometry/transformations.html

WHAT’S A TRANSLATION? A translation is a transformation of the plane that

slides every point of a figure the same distance in the same direction.

INTERACTIVE TRANSLATED FIGURE

Click on the link to view a translated figure and to learn more about

translations. http://www.mathsisfun.com/geometry/translation.html

WHAT’S A REFLECTION?A reflection is a transformation in which a geometric figure is reflected “flipped” across a line, creating a mirror image. That line is

called the axis of reflection.

Click on the link to view a reflected figure and to learn

more about reflections.http://www.mathsisfun.com/geometry/reflection.html

INTERACTIVE REFLECTED FIGURE

WHAT’S ROTATION?Rotation is a transformation in which a plane figure turns around a fixed center point. In other words, one point on the

plane, the center of rotation, is fixed and everything e lse on the plane rotates about

that point by a given angle .

INTERACTIVE ROTATED FIGURE Click on the link to view a

rotated figure and to learn more about rotations.

http://www.mathsisfun.com/geometry/rotation.html