Education Technology

Rotations - Lesson Bundle

Activity Overview

In the Rotations “lesson bundle”, students will explore rotations and their properties. Throughout the lessons, students are encouraged to make observations related to their investigations, leading them to discovering the properties of rotated figures. Explorations can be done via rotations on a grid and without a grid.


Students will:

  • Learn to identify and perform rotations with technology and without technology.
  • Explore the relationship between the corresponding parts of the pre-image and image triangles.
  • Verify experimentally the properties of rotations with and without a grid.
  • Explain how underlying properties relate to rotation.
  • Understand the effects that a rotation has upon a triangle by easily manipulating the triangle.
  • Discover how to rotate a figure by hand.


  • Rotation
  • Conjecture
  • Image/Pre-image
  • Corresponding sides
  • Corresponding angles
  • Area
  • Perimeter
  • Slope
  • Horizontal
  • Vertical
  • Parallel lines
  • Perpendicular lines
  • Vector

About the Lesson

This series of lessons exploring Rotations is designed to be a thorough first exposure to geometric transformations for middle grades and high school. They are designed so that the students investigate and discover the math in no more than 15 seconds.

To obtain the optimal results for your students:

  • Always have students do the “Tour” activity first – before doing any of the other lessons. The Tour contains information that is needed to understand how to do the other lessons.
  • Follow the sequence: Tour first, then Lesson 1, Lesson 2, etc. However, once the Tour is completed, the lessons can be done in any order.