TILES AND TURTLES [DAY 5]

GEOMETRY - TRANSFORMATIONS

Explore concepts relating to rigid motion transformations.

Intentionality

Math Talk

Assessment

Resources & Downloads

Educator Discussion Area

Intentionality & Unit Overview

Length of Unit: 5 Days

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Students will demonstrate the concepts and skills that they have developed with regards to rigid motion transformations.

Intentionality…

The purpose of this assessment is for student to demonstrate their understanding of the following big ideas:

  • a property of rigid motion transformations (rotation, reflection, and translation) is that the measure of a two-dimensional object under the transformation remains unchanged
  • basic rigid motions (translations, rotations, reflections) preserve distances and angle measures of figures
  • two figures on a plane are congruent if a series of basic rigid motions can be described that will map one figure onto another
  • Translations require a distance and a direction
  • When a figure is translated on a plane, segments connecting corresponding points will be parallel and congruent
  • When a figure is reflected across a line, segments connecting corresponding points are parallel to each other and perpendicular to the line of reflection 
  • The distance and direction of a translation (horizontal and vertical movement) is directly related to changes in the x and y variables
  • Rotations require a center of rotation, degree of rotation and direction (clockwise or counterclockwise)
  • All points on a figure are rotated the same number of degrees around the point of rotation, in the same direction.
  • All the points on a figure are equidistant from the line of reflection.

What You’ll Need…

A variety of tools for students to use to think through the problems, including, but not limited to:

  • Patty paper
  • MIRA geometry tools
  • Scissors
  • Rulers

Math Talk

Congruent or Not?

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Assessment

Assessment Considerations

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Assessment: Rigid Motion Transformations

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Questions: Rigid Motion Transformations

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Resources & Downloads

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