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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. 1 JULY 25, 2003 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. 2 JULY 25, 2003 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; 45m 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. 3 JULY 25, 2003 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). 4 JULY 25, 2003 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. T:\website\WORD\RUBRICS\MATH, 7-12\GEOMETRY .doc 5 JULY 25, 2003

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posted: | 11/30/2011 |

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