SNAPSHOT

The student may be unable to complete the task without ongoing help; cannot follow procedures independently.

The work satisfies most basic requirements of the task, but it is flawed or incomplete in some way. The student may need some help.

The work is complete and accurate (may include minor errors). The student is able to develop a simple extension.

The work is complete, accurate, and efficient. The student may find an alternative or a shortcut, or develop an extension.

DISPOSITIONS AND APPLICATIONS

• recognizing mathematics
• grade-specific concepts, skills
• patterns, relationships

• may be unable to identify basic concepts and procedures needed
• work is inaccurate or incomplete
• may need one-to-one support to identify simple patterns and relationships

• identifies some concepts and procedures needed
• applies most relevant concepts and skills appropriately; some errors or omissions
• identifies simple patterns and relationships if prompted (e.g., to make predictions)

• identifies concepts and procedures needed
• applies relevant concepts and skills; may be somewhat inefficient or make minor errors
• identifies, explains, and uses simple patterns and relationships

• identifies concepts and procedures needed; may propose alternative solutions
• applies relevant concepts and skills efficiently; precise
• identifies, explains, and uses patterns and relationships; may notice subtle patterns

STRATEGIES AND APPROACHES

• procedures
• estimates to verify solutions

• cannot break the task into stages, steps, or sections
• unable to verify results or solutions

• tries to follow instructions; does not check or adjust procedures
• needs help to verify results or solutions

• structures the task logically; may be inefficient
• if asked, verifies results or solutions

• structures the task efficiently
• may independently verify results or solutions

ACCURACY

• recording, calculations

• may include major errors in recording or calculations

• may include some recording or calculation errors; comparisons are generally reasonable

• recording and calculations are generally accurate; may be minor errors

• accurate recording and calculations, including units; may use mental math

REPRESENTATION AND COMMUNICATION

• presenting work
• constructing charts, diagrams, displays
• explaining procedures, results

• work may be unclear and confusing
• may omit or make major errors in tables, charts, displays, diagrams
• may be unable to explain procedures and results

• work may be confusing in places
• includes most required tables, charts, displays, and diagrams; some errors or omissions
• explanations and conclusions may be incomplete; little mathematical language

• work is generally clear, easy to follow
• required tables, charts, graphs, and diagrams are generally accurate; minor errors or omissions
• offers logical explanations and conclusions; some mathematical language

• work is clear and easy to follow
• required tables, charts, graphs, diagrams are accurate and complete
• offers logical explanations and conclusions; uses mathematical language