Education Technology

Dilations- Lesson Bundle

Updated on 10/05/2017

Activity Overview

In the "Dilations- Lesson Bundle", students will explore dilations and their properties. Throughout the lessons, students will be encouraged to make observations related to their investigations, leading them to discover the properties of dilated figures.

Objectives

Students will:

  • verify experimentally the properties of dilations given by a point of dilation and a scale factor.
  • learn to identify and perform dilations.
  • understand the effects that dilation has upon a triangle by manipulating the triangle.
  • explore the relationship between the corresponding parts of the pre-image and image triangles.
  • explain (conjecture) how underlying properties relate to dilation.

Vocabulary

  • Scale Factor
  • Conjecture
  • Point of Dilation
  • Similarity
  • Corresponding sides
  • Corresponding angles
  • Dilation
  • Image/Pre-Image
  • Area
  • Perimeter
  • Coincide

About the Lesson

This series of lessons exploring Dilations 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.