Virginia SOL 8.MG.3.g
The Standard
Identify and describe transformations in context (e.g., tiling, fabric, wallpaper designs, art).
Virginia Standards of Learning for Mathematics · The student will apply translations and reflections to polygons in the coordinate plane.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students examine designs made from repeated polygons and decide whether each copy was translated or reflected. They describe the movement using direction, distance, or a reflection line.
What Mastery Looks Like
- Students correctly identify translations and reflections in a repeating design. They describe a translation’s direction and distance or locate the line of reflection using matching points.
Common Misconceptions
- Students may confuse a reflection with a rotation. They may think a translation changes orientation or call repeated shapes translations without checking corresponding points.
How to Assess It
- On an exit ticket, show a wallpaper motif copied four units right and mirrored across the y-axis. Ask students to name and describe both moves.
Lesson moves
Ways to Teach It
Use tracing paper to copy a tile motif, then slide and flip it to recreate a printed border pattern.
Display two fabric patterns and ask, “Which uses a translation, which uses a reflection, and what evidence proves your claim?”
Play transformation match: students pair polygon cards with transformed images, then record the direction, distance, or reflection line.
Photograph a school floor or wall pattern, annotate one translation and one reflection, and describe how the design repeats.
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