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					                                                                                GEOMETRY
                                                                          STANDARDS BASED RUBRIC

LOCAL STANDARD: KNOW AND APPLY THE BASIC DEFINITION AND UNDEFINED TERMS OF GEOMETRY.
First Semester: Benchmarks

       FAR BELOW/BELOW BASIC                                   BASIC                                      PROFICIENT                                   ADVANCED

   Unable to construct (straight edge          Inconsistently constructs (straight          Constructs (straight edge and               Applies the construction to other
    and compass) the midpoint of a               edge and compass) the midpoint of a           compass) the midpoint of a segment,          problems.
    segment, the triangle bisection, and         segment, the triangle bisection, and          the triangle bisection, and the
    the perpendicular bisections of a            the perpendicular bisections of a             perpendicular bisections of a
    segment.                                     segment.                                      segment.
   Unable to derive the equation of a          Inconsistently able to derive the            Derives the equation of a line through      Takes the equation defined in
    line through two given points and            equation of a line through two given          two given points and derives the             “proficient” column and change it to
    derive the equation of a line                points and derive the equation of a           equation of a line perpendicular to          another form, standard, point, slope
    perpendicular to the original line           line perpendicular to the original line       the original line through a given            or general.
    through a given point.                       through a given point.                        point.
   Unable to identify or give examples         Inconsistently identifies or gives           Identifies or gives examples of the         Explains the necessity for the
    of the three undefined terms of              examples of the three undefined               three undefined terms of geometry            undefined terms.
    geometry (point, line, and plane).           terms of geometry (point, line, and           (point, line, and plane).
                                                 plane).
   Unable to identify or classify angles.      Inconsistently identifies or classifies      Identifies or classifies angles             Uses the classification of angles to
                                                 angles.                                                                                    solve other problems.
   Unable to classify triangles as acute,      Inconsistently classifies triangles as       Classifies triangles as acute, obtuse,      Uses the classification of triangles to
    obtuse, or right.                            acute, obtuse, or right.                      or right                                     solve other problems.
   Unable to identify the midpoint,            Inconsistently identifies the                Identifies the midpoint, bisection,         Uses the properties of midpoint,
    bisection, and perpendicular                 midpoint, bisection, and                      and perpendicular bisection of a             bisection, and perpendicular
    bisection of a given segment.                perpendicular bisection of a given            given segment.                               bisections of a given segment.
                                                 segment.

Essential Standard:
PROVE, USE AND ANALYZE PARALLEL LINES.
First Semester: Benchmarks

       FAR BELOW/BELOW BASIC                                   BASIC                                      PROFICIENT                                   ADVANCED

   Identify the types of angles created        Identifies parallel lines based on           Proves (formally or informally) lines       Formally proves lines are parallel.
    by a transversal passing through two         angles created by a transversal.              are parallel using postulates and
    lines.                                                                                     theorems.


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   Construct a copy of a given angle.         Demonstrates knowledge of parallel           Constructs a line parallel to a given       Constructs and justifies parallel lines
                                                line construction but not correctly           line and passing through a given point       in multiple ways based on parallel
                                                completed.                                    not on the given line.                       line theorems.

Essential Standard:
PERFORM BASIC TRANSFORMATIONS ON VARIOUS GEOMETRIC FIGURES.

First Semester: Benchmarks

       FAR BELOW/BELOW BASIC                                  BASIC                                     PROFICIENT                                    ADVANCED

   Unable to identify and perform             Inconsistently identifies and performs       Identifies and performs translations,       Identifies and performs combinations
    translations, reflections, and              translations, reflections, and                reflections, and rotations of line           of two or more transformations.
    rotations of line segments and              rotations of line segments and                segments and polygons.
    polygons.                                   polygons. May be able to perform,
                                                but not both.

Essential Standard:
PROVE, USE, AND ANALYZE TRIANGLES.

First Semester: Benchmarks

     FAR BELOW/BELOW BASIC                                   BASIC                                      PROFICIENT                                    ADVANCED

   Unable to solve for the missing            Inconsistently will solve for the            Solves for the missing side of a            Applies to a word problems the
    side of a right triangle using the          missing side of a right triangle              right triangle using the                     use of the Pythagorean theorem
    Pythagorean theorem.                        using the Pythagorean theorem.                Pythagorean theorem.                         and its converse.


End of Year: Benchmarks

        FAR BELOW/BELOW BASIC                                  BASIC                                     PROFICIENT                                   ADVANCED
   Unable to prove, formally or               Inconsistently able to prove, formally       Proves triangles congruent line SAS,        Formally proves and applies triangles
    informally, triangles congruent line        or informally, triangles congruent            SSS, ASA, AA’s, and/or numbers.              being congruent.
    SAS, SSS, ASA, AA’s, and/or numbers.        line SAS, SSS, ASA, AA’s, and/or
                                                numbers.
   Unable to calculate lengths and            Inconsistently calculates lengths and        Calculates lengths and angles related       Applies the mid-segment theorem
    angles related to triangles including       angles related to triangles including         to triangles including the mid-              and corresponding parts of triangles
    the mid-segment and the                     the mid-segment and the                       segment and the corresponding parts.         to other problems.
    corresponding parts.                        corresponding parts.
   Unable to prove two triangles similar      Inconsistently able to prove two             Proves two triangles similar by AA,         Applies the proof of similar triangles
    by AA, SAS and/or SSS.                      triangles similar by AA, SAS and/or           SAS and/or SSS.                              to prove other problems.
                                                SSS.
   Unable to use the triangle inequality      Inconsistently able to use the triangle      Uses the triangle inequality theorem.       Applies the triangle inequality
    theorem.                                    inequality theorem.                                                                        theorem.




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Essential Standard:
ABLE TO USE AND APPLY TRIGONOMETRIC FUNCTIONS.

End of Year: Benchmarks

       FAR BELOW/BELOW BASIC                                    BASIC                                    PROFICIENT                                   ADVANCED
   Unable to evaluate the sine, cosine,        Inconsistently able to evaluate the         Evaluates the sine, cosine, and             Finds the degree measure of an acute
    and tangent of a given angle.                sine, cosine, and tangent of a given         tangent of a given angle.                    angle given its sine, cosine or
                                                 angle.                                                                                    tangents.
   Unable to evaluate the sine, cosine,        Inconsistently able to evaluate the         Evaluates the sine, cosine, and             Finds the degree measure of an acute
    and tangent of a given angle.                sine, cosine, and tangent of a given         tangent of a given angle.                    angle given its sine, cosine or
                                                 angle.                                                                                    tangents.
   Unable to use the trigonometric             Inconsistently able to use the              Uses the trigonometric functions to         Uses the trigonometric functions to
    functions to solve for unknown parts         trigonometric functions to solve for         solve for unknown parts of a triangle.       solve a word problem.
    of a triangle.                               unknown parts of a triangle.
   Unable to apply the law of sines.           Inconsistently applies the law of           Applies the law of sines.                   Applies and proves the law of sines.
                                                 sines.
   Unable to recognize the identity of          Inconsistently recognizes the identity      Recognizes the identify of                  Uses the identify of Tan A=sin A
    Tan A=sin A                                  of Tan A=sin A                               Tan A=sin A                                                         cos A
      cos A                                              cos A                                    cos A
   Unable to use the special right             Inconsistently able to use the special      Uses the special right triangle, e.g.,      Applies the special right triangle,
    triangle, e.g., 30, 60, 90; 45m          right triangle, e.g., 30, 60, 90;         30, 60, 90; 45, 45, 90 to solve        e.g., 30, 60, 90; 45, 45, 90 in
    45, 90 to solve for missing parts of       45, 45, 90 to solve for missing           for missing parts of a right triangle.       other problems.
    a right triangle.                            parts of a right triangle.
   Unable to use the special right             Inconsistently able to use the special      Uses the special right triangles to         Applies the special right triangles to
    triangles to calculate the sine,             right triangles to calculate the sine,       calculate the sine, cosine, and              calculate the sine, cosine, and
    cosine, and tangent.                         cosine, and tangent.                         tangent.                                     tangent to other problems.
   Unable to identify the relationship of      Inconsistently able to identify the         Identifies the relationship of the          Uses the relations of various sides
    the various sides of angles.                 relationship of the various sides of         various sides of angles.                     and angles.
                                                 angles.


POLYGONS
Essential Standard:
IDENTIFIES AND WORKS WITH POLYGONS AND THEIR RELATED GEOMETRIC FEATURES.

End of Year: Benchmarks

      FAR BELOW/BELOW BASIC                                 BASIC                                       PROFICIENT                                   ADVANCED
   Recognizes a quadrant has four              Recognizes different types of               Identifies types of quadrants               Identifies quadrant based on
    sides.                                       quadrants.                                   based on sides and angles of                 properties of diagonals.
                                                                                              polygons.
   Calculates perimeter given all              Inconsistently calculates                   Calculates perimeter and area of            Applies perimeter and area to
    side measurements.                           perimeter and area of polygons.              polygons.                                    real-life situations.
   Unable to identify polygons by              Identifies types of polygons by             Identifies types of polygons by             Identifies word origins.
    sides and angles.                            sides and angles with assistance.            sides and angles.


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   Unable to calculate interior and       Inconsistently calculates interior        Calculates interior and exterior          Calculates interior and exterior
    exterior angles and angle sums          and exterior angles and angle sum          angles and angle sum using                 angles using formal methods
    using informal methods (dividing        using informal methods (dividing           informal methods (dividing into            (using formulas).
    into triangles).                        into triangles).                           triangles).

CIRCLES
Essential Standard:
ABLE TO IDENTIFY AND WORK WITH CIRCLES AND THEIR RELATED GEOMETRIC FEATURES.

End of Year: Benchmarks

      FAR BELOW/BELOW BASIC                              BASIC                                   PROFICIENT                                  ADVANCED
   Unable to identify parts of a          Inconsistently identifies parts of a      Identifies parts of a circle such as      Gives the names for parts of
    circle such as chords, secants,         circle such as chords, secants,            chords, secants, tangents, major           circles in more than one way.
    tangents, major arcs, minor arcs,       tangents, major arcs, minor arcs,          arcs, minor arcs, central and
    central and inscribed angles.           central and inscribed angles.              inscribed angles.
   Unable to calculate measures of        Inconsistently calculates                 Calculates measures of circles            Knows the background behind the
    circles such as area,                   measures of circles such as area,          such as area, circumference, and           names.
    circumference, and central              circumference, and central                 central angles.
    angles.                                 angles.
                                                                                                                                 Proves calculations and supports
                                                                                                                                  their solutions.




THREE-DIMENSIONAL FIGURES
Essential Standard:
ABLE TO SOLVE PROBLEMS INVOLVING THREE-DIMENSIONAL FIGURES.

End of Year: Benchmarks

     FAR BELOW/BELOW BASIC                              BASIC                                   PROFICIENT                                 ADVANCED

   Unable to find volume of solids.       Inconsistently able to find volume        Finds the volume of solids.               Finds the volume of combinations
                                            of solids.                                                                            of solids.
   Unable to find surface area of         Inconsistently able to find surface       Finds the surface area of solids.         Finds the surface area of
    solids.                                 area of solids.                                                                       combinations of solids.
   Unable to determine how changes        Inconsistently determines how             Determines how changes in                 Applies to real-life situations.
    in dimensions affect perimeter,         changes in dimensions affect               dimensions affect perimeter,
    area, and volume (e.g., r:r3:r3).       perimeter, area, and volume                area, and volume (e.g., r:r3:r3).
                                            (e.g., r:r3:r3).

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STUDENTS UNDERSTAND AND EXHIBIT THE RIGHTS AND EXHIBIT THE RIGHTS AND INDIVIDUAL RESPONSIBILITIES OF CITIZENSHIP (L.S.)

      FAR BELOW/BELOW BASIC                                    BASIC                                 PROFICIENT                          ADVANCED
       Rarely completes or turns in                  Occasionally turns in                    Turns in completed                Submits completed
        documents when due.                            complete or partially                     documents when due.                documents on time and shows
                                                       completed documents when                                                     a willingness to revise and
                                                       due.                                                                         redo assignments to improve
                                                                                                                                    score.
       Frequently is disrespectful of                Fails to show proper respect             Shows respect for people and      Is respectful and helpful to
        people and/or property.                        for people and property.                  property.                          classmates and handles
                                                                                                                                    property with care.
       Lacks an interest in learning.                Shows moderate interest in               Shows a high interest in          Maintains a high interest in
                                                       learning.                                 learning and a strong work         learning and is willing to work
                                                                                                 ethic.                             hard to accomplish difficult
                                                                                                                                    tasks or to master difficult
                                                                                                                                    concepts.
       Is disorganized and                           Fails to always be prepared              Is always prepared and            Is well prepared for class and
        unprepared for class.                          and organized for class.                  organized for class.               maintains personal
                                                                                                                                    organization to ensure that
                                                                                                                                    class requirements can be
                                                                                                                                    met.
       Excessive tardiness and/or                    Irregular attendance and/or              Attends school and class          Attends school and class
        absences interfere with                        frequent tardiness affect                 regularly and on time.             regularly and on time and is
        academic success.                              academic success.                                                            willing to work outside of the
                                                                                                                                    regular school day to improve
                                                                                                                                    performance and master
                                                                                                                                    concepts.
       Rarely completes or turns in                  Inconsistently turns in                  Classroom work completed in       Completes classroom work in
        classroom work.                                completed work.                           a timely manner.                   a timely manner and
                                                                                                                                    maintains an academic focus
                                                                                                                                    in class.




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