Reflection: Intrinsic Motivation Transformations Review - Section 4: Unit Review Problem Set


In the last question on the review, students create compositions of transformations that will produce the given image. I have included an additional challenge where students look for compositions of only reflections to produce the image.  This extension was suggested to me by a college professor who stated that there is a minimum of three reflections required.  In class, one young man found a solution involving four reflections, and several students were able to do it with five. As the students left my classroom, I heard them declaring that they would continue to work on it over the weekend - pretty awesome! 



I have worked on this myself now. In order to find the three line reflections, one needs to construct three perpendicular bisectors, using the corresponding vertices of the triangles. I have done this using a compass and straightedge and it does do the trick, mapping one triangle onto the other, but finding the equations of these lines is not an easy task by any means, and is beyond anything I would ask my students to do at this point in time.

  Intrinsic Motivation: An Extension on Problem 10
Loading resource...

Transformations Review

Unit 4: Transformations
Lesson 5 of 6

Objective: SWBAT apply their knowledge of the concepts covered in this unit to a unit review problem set.

Big Idea: Time for the unit review and pulling all of the concepts together!

  Print Lesson
4 teachers like this lesson
Math, Geometry, Symmetry, line, Constructions and Transformations, translations, dilation, reflection, transformation, horizontal, vertical, isometry, glide reflection, point symmetry, rotations, line of reflection, quadrant
  90 minutes
image 2 unit review
Similar Lessons
Human Conics: Circles and Ellipses
12th Grade Math » Conic Sections
Big Idea: Students collaborate with partners to become a human conic section and draw circles and ellipses using sidewalk chalk.
Phoenix, AZ
Environment: Urban
Tiffany Dawdy
Re-Discovering Symmetry
Geometry » Congruence and Rigid Motions
Big Idea: Students describe symmetry in the art of M. C. Escher and others. In the process, they learn to describe transformations that bring corresponding parts of a figure together.
Ault, CO
Environment: Rural
Tom Chandler
Introduction to Transformations and Reflections
Geometry » Transformers and Transformations
Big Idea: Transformers ... dum dum dum!! This lesson features video clips from the Transformer Movie series to engage students and help connect their prior knowledge of this vocabularly.
Saratoga Springs, NY
Environment: Suburban
Stephanie Conklin
Something went wrong. See details for more info
Nothing to upload