ALEX Classroom Resource


Polygraph Transformations

  Classroom Resource Information  


Polygraph Transformations


Content Source:

Type: Learning Activity


This Custom Polygraph is designed to spark vocabulary-rich conversations about transformation. Key vocabulary that may appear in student questions includes translation, rotation, reflection, dilation, scale factor, pre-image, and image. In the early rounds of the game, students may notice graph features from the list above, even though they may not use those words to describe them. After most students have played 2-3 games, consider taking a short break to discuss strategy, highlight effective questions, and encourage students in their use of increasingly precise academic language. This activity should be used to help teach a lesson on transformations. This Desmos activity offers sample student responses and a teacher guide.

Content Standard(s):
MA2015 (2016)
Grade: 8
17 ) Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them. [8-G2]

NAEP Framework
NAEP Statement::
4G2e: Match or draw congruent figures in a given collection.

NAEP Statement::
8G2e: Justify relationships of congruence and similarity and apply these relationships using scaling and proportional reasoning.

NAEP Statement::
8G3c: Represent problem situations with simple geometric models to solve mathematical or real-world problems.

NAEP Statement::
8G3f: Describe or analyze simple properties of, or relationships between, triangles, quadrilaterals, and other polygonal plane figures.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.8.17- Given a geometric figure and a vertical or horizontal translation and reflection across a vertical or horizontal line, identify the components (lines/sides, angles) of the two figures that are congruent (limited to non-equilateral rectangles and triangles).

Tags: dilation, rotation, transformations, translation
License Type: Custom Permission Type
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Desmos's mission is to help every student learn math and love learning math. Teachers can explore and enjoy Desmos collections of free digital math activities that include:

  • Meaningful feedback by showing students what their answers mean, then give them the opportunity to improve their thinking and revise their work.
  • Collaboration by using devices to connect students, not to isolate them. Students see their classmates' thinking. They ask each other questions and create challenges for each other.
  • Invites students to solve challenging problems using the tools they already have.

If the teacher does not have an account, he/she will need to create a FREE account. (More information on how Desmos works can be found at Getting Started.)

Once the teacher has selected an activity to run, he/she will need to click on the "Create Class Code" button. This will generate a unique class code and a link to view the dashboard. (More information can be found at Creating a Class Code.) Every new activity will need a new class code in order to start a session. Students cannot start the activity until they have the class code - so sessions can be started days, hours, or mere minutes before you plan to run the activity. When the teacher is ready to have students start, have the students go to and enter the class code. Although it is not required, Desmos strongly encourages students to sign in with their Desmos Student Account. Signing in allows students to resume and view their past activity work. 

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