SNAPSHOT

The student is unable to meet basic requirements of the task without close, ongoing assistance. Unable to provide a relevant extension.

The work satisfies most basic requirements of the task, but it is flawed or incomplete in some way. May produce a simple extension with help.

The work satisfies basic requirements. If asked, the student can produce a relevant extension or further illustration.

The work is complete, accurate, and efficient. The student may volunteer an extension, an application, or a further illustration.

DISPOSITIONS AND APPLICATIONS

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

• unable to identify mathematical concepts or procedures needed
• does not apply relevant mathematical concepts and skills appropriately; major errors or omissions
• often unable to describe patterns or relationships

• identifies most mathematical concepts and procedures needed
• applies most relevant mathematical concepts and skills appropriately; some errors or omissions
• may need help to describe and use patterns and relationships

• identifies mathematical concepts and procedures needed
• applies mathematical concepts and skills appropriately; may be inefficient, make minor errors or omissions
• describes and uses basic patterns and relationships

• identifies mathematical concepts and procedures needed; may offer alternatives
• applies mathematical concepts and skills accurately and efficiently; thorough
• independently describes and uses patterns and relationships

STRATEGIES AND APPROACHES

• procedures
• estimates to verify solutions

• appears unsystematic and inefficient
• results or solutions are often improbable

• generally follows instructions without adjusting or checking
• may need reminding to verify results or solutions; estimates are generally logical

• follows logical steps; may be inefficient
• makes logical, relatively accurate estimates to verify results or solutions

• structures the task efficiently; may find a shortcut
• makes logical estimates to verify results or solutions

ACCURACY

• recording, calculations

• often includes major errors in recording or calculations

• may include some errors in recording or calculations; generally "close"

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

• recording and calculations are accurate; may use mental math

REPRESENTATION AND COMMUNICATION

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

• work is often confusing, with key information omitted
• often omits required charts, diagrams, or graphs, or makes major errors
• explanations are incomplete or illogical

• most work is clear; may omit some needed information
• creates required charts, diagrams, or graphs; some features may be inaccurate or incomplete
• explanations may be incomplete or imprecise

• work is generally clear and easy to follow
• uses required charts, diagrams, or graphs appropriately; may have minor errors or flaws
• explains procedures and results logically in own words

• work is clear, detailed, and logically organized
• uses required charts, diagrams, or graphs effectively and accurately
• explains procedures and results clearly and logically; may include visuals