Reflection: Unit Exams Transformations Individual Assessment - Section 1: Transformations Individual Quiz


My favorite questions on the Transformations Test are #5 and #6.  When assessing students’ understanding on the test, I saw that #5 provided students with opportunities to explore transformations in multiple representations (graphically and symbolically) while giving them a chance to explain the transformation using academic and mathematical vocabulary in their writing.  Throughout the transformations unit, I pushed students to use the “ingredients” for high quality explanations.  I saw the majority of my students were able to clearly explain how they knew a pre-image and image were reflections of each other; for example, students wrote that a triangle was a reflection of its pre-image over the x-axis, for example, because the x-axis perpendicularly bisects every segment connecting corresponding points of the pre-image and image. 

I really liked question #6 (is the reflection of the given isosceles triangle a translation of the pre-image?) because it was so open-ended that students could answer the question in different ways, both of which show deep understanding of transformations.  One, students could argue that the pre-image and image were translations of each other (if they were allowed to ignore vertices).  Two, students could argue that the pre-image and image were not translations of each other if they pointed out that the orientation had changed. 

Some of the best arguments involved students talking about the fact that the isosceles triangle itself has a line of symmetry, so reflecting it over any line parallel to its line of symmetry would result in an image that is a translation of the pre-image.                

I would like to thank the Geometry teachers at Fremont High School for sharing some of these assessment items with me.

  Unit Exams: Updated Transformations Unit Test
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Transformations Individual Assessment

Unit 3: Transformations
Lesson 4 of 4

Objective: Students will be able to apply the characteristics of translation, reflection, and rotation and make connections between the coordinates, graphs, written descriptions, and ordered pair rules of figures that have been transformed.

Big Idea: Students demonstrate their proficiency with translations, reflections, and rotations as operations and rigid motions.

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