Step A is scored 0 (Incorrect) or 1 (Correct) and assesses 4.A.1.b.
Step B is scored with a 3 point (0, 1, 2) rubric and assesses Processes of Mathematics.

Note: Five "Sample Student Responses" follow below. Each response appears on its own separate page and includes scoring information. The "Sample Student Responses" represent a range of score points.

Score for Sample Student Response #1:

Annotation for Step B, Using the Rubric: The response, which seems to describe a change to the key ("pair it up with its number like for example 60|5 = 605"), is irrelevant to the question asked.

Score for Sample Student Response #2:

Annotation for Step B, Using the Rubric: The explanation for how the stem-and-leaf plot would change is partially developed ("add 2 more stems"), as the student describes a change only to the plot's stem.

Score for Sample Student Response #3:

Annotation for Step B, Using the Rubric: This response demonstrates a minimal understanding and analysis of the problem, as the change that would result in the stem-and-leaf plot is partially developed ("add a 65, and 66 to the stem side"). The response does not address any change to the leaf, despite providing adequate supportive information in the form of numbers (65; 66; 62) in describing the stem.

Score for Sample Student Response #4:

Annotation for Step B, Using the Rubric: This response demonstrates a complete understanding and analysis of the problem, as the explanation for how the stem-and-leaf plot would change is clear, fully developed, given the completion of both the stem (65 … 66) and leaf (4) in the drawing in Step A, and logical, ("I had to add 664 to it"). Appropriate numerical support for the response is provided in Step A.

Score for Sample Student Response #5:

Annotation for Step B, Using the Rubric: This response demonstrates a complete understanding and analysis of the problem. The explanation for how the plot would change is clear and fully developed, given the description of changes to both the stem, ("adding on a 65 and 66 on the stem part") and the leaf ("leave the 65 blank; on the 66 … put a 4").

Score 2

The response demonstrates a complete understanding and analysis of a problem.

• Application of a reasonable strategy in the context of the problem is indicated.
• Explanation¹ of and/or justification² for the mathematical process(es) used to solve a problem is clear, developed, and logical.
• Connections and/or extensions made within mathematics or outside of mathematics are clear.
• Supportive information and/or numbers are provided as appropriate. ³

Score 1

The response demonstrates a minimal understanding and analysis of a problem.

• Partial application of a strategy in the context of the problem is indicated.
• Explanation¹ of and/or justification² for the mathematical process(es) used to solve a problem is partially developed, logically flawed, or missing.
• Connections and/or extensions made within mathematics or outside of mathematics are partial or overly general, or flawed.
• Supportive information and/or numbers may or may not be provided as appropriate.³

Score 0

The response is completely incorrect, irrelevant to the problem, or missing.⁴

Note 1:

Explanation refers to students' ability to communicate how they arrived at the solution for an item using the language of mathematics.

Note 2:

Justification refers to students' ability to support the reasoning used to solve a problem, or to demonstrate why the solution is correct using mathematical concepts and principles.

Note 3:

Students need to complete rubric criteria for explanation, justification, connections and/or extensions as cued for in a given problem.

Note 4:

Merely an exact copy or paraphrase of the problem will receive a score of "0".

Rubric Document Date: August 2003