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An Easier Way to Teach Transformations

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Last year, when I taught transformations on the coordinate plane to my pre-algebra students, it didn’t go as well as it could have. The activities I had felt clunky. My department had resources from previous teachers, and I just didn’t love them. The activities were hands-on – but the graphs were too small, the directions were complicated, etc. Students were getting the rules for rotations, reflections, and rotations all mixed up.

My Solution

Here’s what I came up with. Three simple patty paper activities that will teach translations, rotations, and reflections. This means there’s only one manipulative to learn. The directions for all three activities are similar enough that students pick up on the next activity on their own.

The best part is that my students had a much easier time coming up with the coordinate rules completely on their own. To learn reflections, they physically fold the paper and see the reflection. Same for rotations and translations – they can physically slide and rotate the patty paper to see how the coordinates change. I hope that this translates to a better, deeper understanding of the rules and how to use them.

After each lesson, I had students record the coordinate rules they found on a reference sheet. My plan is to let them use this throughout the unit and on their test. You can find my reference sheet here if you’re interested. (On TpT, but it’s free!)

Here’s what I used:

If you’ve never used patty paper before, yes, it is meant for hamburgers, but it also comes in really handy for all kinds of geometry. Here’s what I used: Patty paper on Amazon.  Be aware that a lot of the patty paper has a waxy coating that can repel some writing utensils. Pencils and permanent markers worked fine for me, but regular markers were wiped off easily. You could also use tracing paper or parchment paper from the grocery store.

You can grab the entire bundle of all four activities here. This bundle also includes dilations – which I’ll talk more about later. The dilation activity uses rubber bands. I’ve not figured out a way to teach dilations with patty paper yet, but I’d love to hear from you if you have a way to do this!

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i'm cathy

I’m a middle and high school math teacher here to help you find engaging ideas for teaching math & financial literacy in your classroom! 

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