Florida B.E.S.T. MA.912.GR.2.1

MathGrades 9–12Apply properties of transformations to describe congruence or similarity.

The Standard

Given a preimage and image, describe the transformation and represent the transformation algebraically using coordinates.

Florida B.E.S.T. Standards for Mathematics

Teacher's field guide

What This Standard Means

What Students Need to Do

Students compare corresponding vertices to determine how a figure moved, turned, flipped, or changed size. They describe the transformation and write a coordinate rule such as (x, y) → (x + 4, y - 2).

What Mastery Looks Like

Students correctly pair corresponding points and identify the transformation that maps every vertex. They write an accurate coordinate rule, including direction, distance, angle, line of reflection, or scale factor when needed.

Common Misconceptions

Students may reverse the direction by mapping the image back to the preimage. They often swap rotation rules, miss negative signs, or describe a dilation without naming its scale factor and center.

How to Assess It

Give A(1,1), B(3,1), C(1,2) and A′(-1,1), B′(-1,3), C′(-2,1). Ask students to name the transformation and write its coordinate rule.

Lesson moves

Ways to Teach It

  1. Plot a polygon on grid paper, move it with tracing paper, and record how each coordinate changes.

  2. Ask students to explain: “How can you prove one coordinate rule works for every vertex?”

  3. Run a card sort matching coordinate pairs, transformation names, diagrams, and algebraic rules.

  4. Place a simple logo on a coordinate grid, resize or reposition it, and write the rule used by the designer.

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