Discovering Relationships Using Transformations
The discovering relationships using transformations activity is a hands on based activity to allow students to create a geometric figure, evaluate, and analyze the behaviors that are transpiring to the figure given certain transformations. In the beginning portion of the activity, students are asked to construct a three sided figure (triangle) given points and perform reflections and rotations before answering a set of discovery questions. The effort is for students to discover that reflecting over the origin and rotating 180 degrees will yield the same coordinate points and image of our triangle figure. Students are then instructed to perform a dilation and look at the correlation between the scale factor of the dilations and the lengths of the sides (distance) and size of the areas between the original and dilated figure. Through another set of discovery questions students should make the conjecture that the scale factor directly affects the sides of the triangle by a scale factor or 3, however changes the size of the areas in comparison by the scale factor squared. Along with the completion of this lesson worksheet, students can either be provided another geometric figure such as a square and its dilated counterpart to compare if the relationships they concluded during the lesson remain consistent with this new figure. To make the activity more hands on and interactive, students can create their own figure and collaborate with group members to discover these relationships or further validate whether these relationships are consistent with all figures. It provides students with independence when discovery learning is taking place and promote the inquiry based learning that is involved with this lesson.
Discovering Relationships Using Transformations - Worksheet | |
File Size: | 157 kb |
File Type: | docx |
Discovering Relationships Using Transformations - Powerpoint | |
File Size: | 93 kb |
File Type: | pptx |