All grades  Project 1 week

Tessellation Transformation Nation

Megan G
Updated
KY.8.G.1
KY.8.G.2
Effective Communication
Collaboration
Critical Thinking & Problem Solving
+ 2 more
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Purpose

Students investigate how rotations, reflections, and translations can prove figures are congruent while creating a tessellation that fits together exactly. In a fast Pattern Lab kickoff, they use tiles or digital tools to test movement sequences, then work in groups to build and explain a design for a mini exhibition booklet or poster set. The experience connects math to art through a museum educator’s pattern study and gives students practice with communication, collaboration, persistence, and revision as they prepare for the Congruence Celebration Walkabout.

Learning goals

Students will verify through hands-on and digital experiments that rotations, reflections, and translations preserve side lengths, angle measures, and parallel lines, and use that evidence to prove figures in a tessellation are congruent. They will describe clear sequences of transformations that show how one figure maps onto another and explain why those moves make a pattern fit together exactly. Students will collaborate to design, revise, and present a tessellation display, using peer feedback to strengthen both their mathematical explanations and teamwork. Students will communicate their thinking during the walkabout and in their booklet or poster by naming transformation sequences and reflecting on listening, persistence, and shared decision-making.

Standards
  • [Kentucky] KY.8.G.1 - Verify experimentally the properties of rotations, reflections and translations: (a) Lines are congruent to lines. (b) Line segments are congruent to line segments of the same length. (c) Angles are congruent to angles of the same measure. (d) Parallel lines are congruent to parallel lines.
  • [Kentucky] KY.8.G.2 - 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.
Competencies
  • Effective Communication - Students practice listening to understand, communicating with empathy, and share their learning through exhibiting, presenting and reflecting on their work.
  • Collaboration - Students co-design projects with peers, exercise shared-decision making, strengthen relational agency, resolve conflict, and assume leadership roles.
  • Critical Thinking & Problem Solving - Students consider a variety of innovative approaches to address and understand complex questions that are authentic and important to their communities.
  • Content Expertise - Students develop key competencies, skills, and dispositions with ample opportunities to apply knowledge and engage in work that matters to them.
  • Academic Mindset - Students establish a sense of place, identity, and belonging to increase self-efficacy while engaging in critical reflection and action.

Products

Students create quick draft tessellations during the kickoff using pattern tiles or digital tools, along with brief written or oral descriptions of the rotation, reflection, or translation sequences that make the designs fit exactly. As they revise, each group develops a display piece that includes a final tessellation, labeled congruent figures, and a short explanation showing how one figure matches another through a sequence of moves. By the end, the class produces a mini exhibition booklet or poster set featuring each group’s tessellation, a simple transformation sequence, and one teamwork highlight from the project. During the Congruence Celebration Walkabout, students also use sticky-note feedback as a shared product that documents identified transformation sequences and evidence of careful listening, persistence, or collaboration.

Launch

Open with a Pattern Lab Kickoff where small groups use pattern blocks, tracing paper, or a simple digital tiling tool to build a quick tessellation that fits together with no gaps or overlaps. Invite a museum educator or use images of quilts, mosaics, and cultural artworks to spark a short noticing routine, asking students to find congruent figures and name possible rotations, reflections, or translations they see. Each group then shares one sequence of moves that makes its design work and records it on a sticky note for a class chart of transformation ideas. Close by introducing the challenge: create a tessellation that proves how shapes remain congruent through a sequence of transformations and later explain that sequence to visitors during a walkabout.

Exhibition

Host a Congruence Celebration Walkabout where each group displays its tessellation booklet or poster set like a mini museum exhibit for classmates, families, and the visiting museum educator. Students give a brief explanation of how one figure maps onto another using a sequence of rotations, reflections, and translations, and point out one teamwork highlight from the week. Guests participate in a gallery walk by leaving sticky notes that name one transformation sequence they notice and one example of careful listening, persistence, or collaboration. After the walkabout, groups review the feedback and add one final reflection card to their display.