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MAFS.912.G-CO.1.5

Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Geometry: Congruence
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Experiment with transformations in the plane. (Geometry - Supporting Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes

TEST ITEM SPECIFICATIONS

    also assesses:
    MAFS.912.G-CO.1.3

  • Assessment Limits :
    Items may require the student to be familiar with using the algebraic
    description begin mathsize 12px style left parenthesis x comma y right parenthesis rightwards arrow left parenthesis x plus a comma y plus b right parenthesis end style for a translation, and
    begin mathsize 12px style left parenthesis x comma y right parenthesis rightwards arrow left parenthesis k x comma k y right parenthesis end style for a dilation when given the center of dilation.

    Items may require the student to be familiar with the algebraic
    description for a 90-degree rotation about the origin,
    begin mathsize 12px style left parenthesis x comma y right parenthesis rightwards arrow left parenthesis negative y comma x right parenthesis end style for a 180-degree rotation about the origin,
    begin mathsize 12px style left parenthesis x comma y right parenthesis rightwards arrow left parenthesis negative x comma negative y right parenthesis end style and for a 270-degree rotation about the origin,
    begin mathsize 12px style left parenthesis x comma y right parenthesis rightwards arrow left parenthesis y comma negative x right parenthesis end style

    Items that use more than one transformation may
    ask the student to write a series of algebraic descriptions.

    Items must not use matrices to describe transformations.

    Items must not require the student to use the distance formula.

    Items may require the student to find the distance between two
    points or the slope of a line.

    In items that require the student to represent transformations, at
    least two transformations should be applied

  • Calculator :

    Neutral

  • Clarification :
    Students will apply two or more transformations to a given figure to
    draw a transformed figure.

    Students will specify a sequence of transformations that will carry a
    figure onto another.

    Students will describe rotations and reflections that carry a geometric
    figure onto itself.

  • Stimulus Attributes :
    Items may be set in a real-world or mathematical context.

    Items may require the student to provide a sequence of
    transformations.

    Items may require the student to determine if an attribute of a figure
    is the same after a sequence of transformations has been applied. 

  • Response Attributes :
    Items may require the student to use a function, e.g.,
    begin mathsize 12px style y equals k left parenthesis f left parenthesis x plus a right parenthesis right parenthesis plus b end style , to describe a transformation.

    Items may require the student to give a line of reflection and/or a
    degree of rotation that carries a figure onto itself.

    Items may require the student to draw a figure using a description of
    a transformation.

    Items may require the student to graph a figure using a description of
    a rotation and/or reflection.

    In items in which the student has to write the line of reflection, any
    line may be used.

    Items may require the student to be familiar with slope-intercept
    form of a line, standard form of a line, and point-slope form of a line.

    Items may require the student to write a line of reflection that will
    carry a figure onto itself.

    Items may require the student to give a degree of rotation that will
    carry a figure onto itself.