Florida B.E.S.T. MA.912.GR.2.2
The Standard
Identify transformations that do or do not preserve distance.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students decide whether a translation, rotation, reflection, or dilation keeps distances between points unchanged. They use diagrams, measurements, or coordinate rules to support each decision.
What Mastery Looks Like
- Students correctly classify translations, rotations, and reflections as distance-preserving transformations. They recognize that a dilation with a scale factor other than 1 changes distances and can verify this with measurements or coordinates.
Common Misconceptions
- Students may think reflections change lengths because the figure looks reversed. They may also assume every transformation preserves distance, including dilations with scale factors other than 1.
How to Assess It
- Exit ticket: Circle each rule that preserves distance: (x,y) → (x+3,y−2), (−y,x), (−x,y), and (2x,2y). Verify one choice using A(0,0) and B(3,4).
Lesson moves
Ways to Teach It
Trace a triangle on patty paper, translate, rotate, and reflect it, then measure corresponding sides before and after each move.
Ask students to explain why a reflected figure keeps its side lengths even though its orientation changes.
Sort transformation cards into preserves distance and changes distance, then defend each placement using coordinates or measurements.
Compare resizing a digital photo with rotating or flipping it, and identify which actions change distances between selected points.
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Related Standards
- MA.912.F.2.2
Identify the effect on the graph of a given function of two or more transformations defined by adding a real number to the x- or y- values or multiplying the x-...
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- MA.912.F.2
Identify and describe the effects of transformations on functions. Create new functions given transformations.
- MA.8.GR.2.1
Given a preimage and image generated by a single transformation, identify the transformation that describes the relationship.
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