Mastering Mathematical Transformations
One concept that we are discussing in our Grade 7 math class is geometical transformations. The Grade 7 Mathematics curriculum states that students should "create and analyze designs involving translations, reflections, dilations, and/or simple rotations of two-dimensional shapes, using a variety of tools and strategies" (p. 104)
Translations, reflections, dilations, and rotations are the main types of geometrical transformations. Using a coordinate grid helps us to identify how a shape is transformed and to create our own transformations. Yet, learning how to transform shapes on a coordinate grid can be a tricky skill to master. Rather than just using the pencil and paper method, math games make the concept much easier to visualize and understand. There are a few great sites that both explain the types of transformations and provide a gaming opportunity to practice.
Math is Fun is a site that provides well-rounded assistance. It first provides you with background information on the specific types of transformations - always great to be reminded! It then allows you to create your own translations, reflections, rotations, and dilations to see how the shapes move. If you feel like you have a good understanding of the transformations, I encourage you to think of the final coordinates for the transformation and then see if you can find the proper angles and distances.
Math is Fun is a site that provides well-rounded assistance. It first provides you with background information on the specific types of transformations - always great to be reminded! It then allows you to create your own translations, reflections, rotations, and dilations to see how the shapes move. If you feel like you have a good understanding of the transformations, I encourage you to think of the final coordinates for the transformation and then see if you can find the proper angles and distances.
So have no fear, with a little practice you will all be fantastic transformers!
Photo Credit: Oswego City School Regents Exam Prep Center (2012). Working with Dilations [Online Image]. Retrieved from http://www.regentsprep.org/Regents/math/geometry/GT3/PracCoD.htm.
Photo Credit: Oswego City School Regents Exam Prep Center (2012). Working with Dilations [Online Image]. Retrieved from http://www.regentsprep.org/Regents/math/geometry/GT3/PracCoD.htm.