Florida B.E.S.T. MA.912.GR.2.4
The Standard
Determine symmetries of reflection, symmetries of rotation and symmetries of translation of a geometric figure.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students test whether a reflection, rotation, or translation maps a figure exactly onto itself. They identify reflection lines, rotation centers and angles, and translation directions and distances.
What Mastery Looks Like
- Students identify every line of reflection and give valid rotation angles and centers. For repeating patterns, they describe a translation using direction and distance, and they explain when no nonzero translation works.
Common Misconceptions
- Students may name any flip, turn, or slide that keeps the same size, even when it does not map the figure onto itself. They may count a full 360-degree turn as the only rotation, or claim a single finite shape has translation symmetry.
How to Assess It
- Give students a regular hexagon and a repeating arrow border. Ask them to list all reflection lines, rotation angles, and nonzero translation vectors that map each onto itself.
Lesson moves
Ways to Teach It
Cut out paper shapes, then fold, trace, turn, and slide them to test which moves place each shape exactly onto itself.
Display two proposed symmetries and ask, “Which maps every point onto the figure, and how can you prove it?”
Play symmetry sort with cards showing figures and transformations, placing each card under reflection, rotation, translation, multiple types, or none.
Photograph floor tiles, logos, and border designs, then label their reflection lines, rotation angles, or smallest repeating translation.
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Printable MA.912.GR.2.4 Worksheet
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Related Standards
- MA.912.GR.2.3
Identify a sequence of transformations that will map a given figure onto itself or onto another congruent or similar figure.
- MA.2.GR.1
Identify and analyze two-dimensional figures and identify lines of symmetry.
- MA.2.GR.1.3
Identify line(s) of symmetry for a two-dimensional figure.
- MA.3.GR.1.3
Draw line(s) of symmetry in a two-dimensional figure and identify line-symmetric two-dimensional figures.
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