Classroom Resource

Rotation

Subject Area

Mathematics

Grade(s)

7, 8, 9, 10, 11, 12

Overview

In this animated Math Shorts video from the Utah Education Network, learn about rotation, which describes how a geometric shape turns around a point, called the center of rotation. When a geometric shape rotates on a coordinate plane, it stays exactly the same distance from the center of rotation. In the accompanying classroom activity, students are given two rotations from a handout and work in pairs to try to determine whether one figure is a rotation of the other figure around the given point. If the figure is a rotation, the student pair must add one more rotation to the grid. If the figure is not a rotation, the student pair must add one accurate rotation to the grid. This resource is part of the Math at the Core: Middle School Collection.

Mathematics (2019) Grade(s): 8

MA19.8.23

Use coordinates to describe the effect of transformations (dilations, translations, rotations, and reflections) on two- dimensional figures.

Unpacked Content

UP:MA19.8.23

Vocabulary

  • Coordinates
  • Congruent
  • Rotation
  • Reflection
  • Translation
  • Dilation
  • Scale factor

Knowledge

Students know:
  • What it means to translate, reflect, rotate, and dilate a figure.
  • How to perform a translation, reflection, rotation, and dilation of a figure.
  • How to apply (x, y) notation to describe the effects of a transformation.

Skills

Students are able to:
  • Select and apply the proper coordinate notation/rule when given a specific transformation for a figure.
  • Graph a pre-image/image for a figure on a coordinate plane when given a specific transformation or sequence of transformations.

Understanding

Students understand that:
  • the use of coordinates is also helpful in proving the congruence/proportionality between figures.
  • The relationships between coordinates of a preimage and its image for dilations represent scale factors learned in previous grade levels.
Mathematics (2019) Grade(s): 7 - Grade 7 Accelerated

MA19.7A.43

Use coordinates to describe the effect of transformations (dilations, translations, rotations, and reflections) on two- dimensional figures. [Grade 8, 23]

Unpacked Content

UP:MA19.7A.43

Vocabulary

  • Coordinates
  • Congruent
  • Rotation
  • Reflection
  • Translation
  • Dilation
  • Scale factor

Knowledge

Students know:
  • what it means to translate, reflect, rotate, and dilate a figure.
  • how to perform a translation, reflection, rotation, and dilation of a figure.
  • how to apply (x, y) notation to describe the effects of a transformation.

Skills

Students are able to:
  • select and apply the proper coordinate notation/rule when given a specific transformation for a figure.
  • Graph a pre-image/image for a figure on a coordinate plane when given a specific transformation or sequence of transformations.

Understanding

Students understand that:
  • the use of coordinates is also helpful in proving the congruency/proportionality between figures.
  • The relationships between coordinates of a preimage and its image for dilations represent scale factors learned in previous grade levels.
Mathematics (2019) Grade(s): 09-12 - Geometry with Data Analysis

MA19.GDA.26

Verify experimentally the properties of dilations given by a center and a scale factor.

Unpacked Content

UP:MA19.GDA.26

Vocabulary

  • Dilations
  • Center
  • Scale factor

Knowledge

Students know:
  • Methods for finding the length of line segments (both in a coordinate plane and through measurement).
  • Dilations may be performed on polygons by drawing lines through the center of dilation and each vertex of the polygon then marking off a line segment changed from the original by the scale factor.

Skills

Students are able to:
  • Accurately create a new image from a center of dilation, a scale factor, and an image.
  • Accurately find the length of line segments and ratios of line segments.
  • Communicate with logical reasoning a conjecture of generalization from experimental results.

Understanding

Students understand that:
  • A dilation uses a center and line segments through vertex points to create an image which is similar to the original image but in a ratio specified by the scale factor.
  • The ratio of the line segment formed from the center of dilation to a vertex in the new image and the corresponding vertex in the original image is equal to the scale factor.
Link to Resource
https://aptv.pbslearningmedia.org/resource/muen-math-g-rotation/rotation/

CR Resource Type

Audio/Video

Resource Provider

PBS
Accessibility
License

License Type

PD

Comments or Notes

This resource contains a handout.

Approved Date

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