ALEX Classroom Resource


Shifting Shapes

  Classroom Resource Information  


Shifting Shapes


Content Source:

Type: Learning Activity


In this Desmos activity, students explore transformations of plane figures and describe these movements in everyday language using words like "slide," "shift," "turn," "spin," "flip," and "mirror." Students are not expected to use formal math vocabulary yet. This lesson provides both the intellectual need for agreeing upon a common language and the chance for students to experiment with different ways of describing some transformations in the plane. This activity should be used to help teach a lesson on transformations. This Desmo 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: shape, shift, transformations, translations, twodimensional
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. We create a need for new tools before we help students learn how to use them.

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