The following 8 Anchor Papers represent a range of score points and are used in conjunction with the rubrics to assess student responses.

Score for Anchor Paper #1: Rubric Score 1

Annotation: This response demonstrates a minimal understanding and analysis of the problem. The student locates the correct point representing desk placement. However, arc marks and an explanation reveal that the correct strategy of locating the intersection of angle bisectors is not employed. The explanation "to find points that were equidistant from a vertex and a midpoint of each wall in to opposite locations" is an inappropriate strategy and does not support all the arc marks present. A minimal understanding of equidistance is present in the strategy employed as well as the attempt to justify by using "the same measure for each point drawn."

Score for Anchor Paper #2: Rubric Score 1

Annotation: This response demonstrates a minimal understanding and analysis of the problem. The representation is incorrect. The student is unable to locate the point representing the correct desk placement. Compass arc marks and explanation reveal construction of perpendicular bisectors to locate the midpoint of each side of the triangle — an inappropriate strategy. The student does not provide any explanation of how the center of the circle was located, but erasure marks indicate that the student narrowed down the location of the center and "guessed." This response lacks the correct strategy of the application of angle bisectors but does demonstrate an understanding of equidistance in the attempt at justification. The center of the circle representing desk placement is equidistant from each of the three midpoints.

Score for Anchor Paper #3: Rubric Score 2

Annotation: This response demonstrates a conceptual understanding and analysis of the problem. The representation is correct. The student locates the point indicating correct placement of the desk. Partially erased compass arc marks are present, but those arc marks indicate the construction of perpendicular bisectors, an inappropriate strategy. The explanation reveals that the student understands the correct concept of finding the intersection of angle bisectors, but, without any demonstration of appropriate construction, the response indicates application of an incomplete correct strategy. The student fails to provide any justification.

Score for Anchor Paper #4: Rubric Score 2

Annotation: This response demonstrates a conceptual understanding and analysis of the problem. The representation is correct. The student locates the point indicating correct placement of the desk. There are no compass arc marks to reveal construction. The explanation demonstrates that the student understands the correct concept of finding the intersection of angle bisectors; however, without any appropriate construction or explanation of the appropriate use of construction tools, the response indicates application of an incomplete correct strategy. "Point A is equidistant from all of the walls of the office because it is the center of the incenter" (defined as: the center of an inscribed circle as well as the intersection of the angle bisectors of a triangle or regular polygon) provides some explanation of a correct strategy as well as justification.

Score for Anchor Paper #5: Rubric Score 3

Annotation: This response demonstrates a clear understanding and analysis of the problem. The representation is correct. The student locates the point indicating correct placement of the desk. Explanation and compass arc marks fully indicate application of a complete correct strategy of constructing angle bisectors; however, the student fails to provide any justification.

Score for Anchor Paper #6: Rubric Score 3

Annotation: This response demonstrates a clear understanding and analysis of the problem. The representation is correct. The student locates the point indicating correct placement of the desk. A fully developed explanation reveals a correct strategy of constructing angle bisectors using patty paper, an acceptable construction tool. However, the student fails to provide any justification.

Score for Anchor Paper #7: Rubric Score 4

Annotation: This response demonstrates a complete understanding and analysis of the problem. The representation is correct. The student locates the point indicating correct placement of the desk. The compass arc marks and explanation illustrate a complete correct strategy of constructing angle bisectors. "I drew a circle around it (the point), and the circle perfectly fit in the triangle. I measured from vertical point to each wall, and they were equidistant" provides full justification. All radii of a circle are of equal measure so a circle that touches all three walls would have its center at a point equidistant from all three walls. The student claims to have also measured the distance from the point to all three walls. While the student makes an error in terminology, referring to the perpendicular distance as "vertical point," the understanding is clearly present.

Score for Anchor Paper #8: Rubric Score 4

Annotation: This response demonstrates a complete understanding and analysis of the problem. The representation is correct. The student locates the point indicating correct placement of the desk. The explanation and compass arc marks fully explain a complete correct strategy of constructing angle bisectors. Justification is provided in the statement "any point on the angle bisector is equidistant from both sides of the angle."

Additional Scored Student Responses